%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : NUM924+2 : TPTP v8.1.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jul 27 13:10:13 EDT 2022 % Result : Unknown 7.46s 7.49s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM924+2 : TPTP v8.1.0. Released v5.3.0. % 0.06/0.13 % Command : otter-tptp-script %s % 0.13/0.34 % Computer : n028.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Wed Jul 27 10:06:19 EDT 2022 % 0.13/0.34 % CPUTime : % 7.37/7.38 ----- Otter 3.3f, August 2004 ----- % 7.37/7.38 The process was started by sandbox2 on n028.cluster.edu, % 7.37/7.38 Wed Jul 27 10:06:19 2022 % 7.37/7.38 The command was "./otter". The process ID is 31116. % 7.37/7.38 % 7.37/7.38 set(prolog_style_variables). % 7.37/7.38 set(auto). % 7.37/7.38 dependent: set(auto1). % 7.37/7.38 dependent: set(process_input). % 7.37/7.38 dependent: clear(print_kept). % 7.37/7.38 dependent: clear(print_new_demod). % 7.37/7.38 dependent: clear(print_back_demod). % 7.37/7.38 dependent: clear(print_back_sub). % 7.37/7.38 dependent: set(control_memory). % 7.37/7.38 dependent: assign(max_mem, 12000). % 7.37/7.38 dependent: assign(pick_given_ratio, 4). % 7.37/7.38 dependent: assign(stats_level, 1). % 7.37/7.38 dependent: assign(max_seconds, 10800). % 7.37/7.38 clear(print_given). % 7.37/7.38 % 7.37/7.38 formula_list(usable). % 7.37/7.38 all A (A=A). % 7.37/7.38 all B_1_1 B_2_1 (is_int(B_1_1)&is_int(B_2_1)->is_int(minus_minus_int(B_1_1,B_2_1))). % 7.37/7.38 is_int(one_one_int). % 7.37/7.38 all B_1_1 B_2_1 (is_int(B_1_1)&is_int(B_2_1)->is_int(plus_plus_int(B_1_1,B_2_1))). % 7.37/7.38 all B_1_1 B_2_1 (is_int(B_1_1)&is_int(B_2_1)->is_int(times_times_int(B_1_1,B_2_1))). % 7.37/7.38 is_int(zero_zero_int). % 7.37/7.38 is_int(undefined_int(int)). % 7.37/7.38 all B_1_1 (is_int(B_1_1)->is_int(bit0(B_1_1))). % 7.37/7.38 all B_1_1 (is_int(B_1_1)->is_int(bit1(B_1_1))). % 7.37/7.38 is_int(min). % 7.37/7.38 is_int(pls). % 7.37/7.38 all B_1_1 (is_int(B_1_1)->is_int(number_number_of_int(B_1_1))). % 7.37/7.38 all B_1_1 B_2_1 (is_int(B_1_1)->is_int(power_power_int(B_1_1,B_2_1))). % 7.37/7.38 all B_1_1 B_2_1 (is_int(B_1_1)&is_int(B_2_1)->is_int(legendre(B_1_1,B_2_1))). % 7.37/7.38 is_int(m). % 7.37/7.38 is_int(s1). % 7.37/7.38 is_int(s). % 7.37/7.38 is_int(t). % 7.37/7.38 ord_less_int(t,zero_zero_int). % 7.37/7.38 ord_less_int(t,one_one_int). % 7.37/7.38 ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)). % 7.37/7.38 plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t). % 7.37/7.38 t=zero_zero_int->plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)=zero_zero_int. % 7.37/7.38 -ord_less_e_q_int(one_one_int,t). % 7.37/7.38 ord_less_int(zero_zero_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.38 all X Y (-ord_less_real(plus_plus_real(power_power_real(X,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)). % 7.37/7.38 all X Y (-ord_less_int(plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)). % 7.37/7.38 all X_2 Y_2 (ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls))))))<->X_2!=zero_zero_real|Y_2!=zero_zero_real). % 7.37/7.38 all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_2,number_number_of_nat(bit0(bit1(pls))))))<->X_2!=zero_zero_int|Y_2!=zero_zero_int)). % 7.37/7.38 all X_2 Y_2 (plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real<->X_2=zero_zero_real&Y_2=zero_zero_real). % 7.37/7.38 all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (plus_plus_int(power_power_int(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_2,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int<->X_2=zero_zero_int&Y_2=zero_zero_int)). % 7.37/7.38 all A_56 (-ord_less_real(power_power_real(A_56,number_number_of_nat(bit0(bit1(pls)))),zero_zero_real)). % 7.37/7.38 all A_56 (-ord_less_int(power_power_int(A_56,number_number_of_nat(bit0(bit1(pls)))),zero_zero_int)). % 7.37/7.38 all A_13 (ord_less_real(zero_zero_real,power_power_real(A_13,number_number_of_nat(bit0(bit1(pls)))))<->A_13!=zero_zero_real). % 7.37/7.38 all A_13 (is_int(A_13)-> (ord_less_int(zero_zero_int,power_power_int(A_13,number_number_of_nat(bit0(bit1(pls)))))<->A_13!=zero_zero_int)). % 7.37/7.38 power_power_real(one_one_real,number_number_of_nat(bit0(bit1(pls))))=one_one_real. % 7.37/7.38 power_power_nat(one_one_nat,number_number_of_nat(bit0(bit1(pls))))=one_one_nat. % 7.37/7.38 power_power_int(one_one_int,number_number_of_nat(bit0(bit1(pls))))=one_one_int. % 7.37/7.38 power_power_real(zero_zero_real,number_number_of_nat(bit0(bit1(pls))))=zero_zero_real. % 7.37/7.38 power_power_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls))))=zero_zero_nat. % 7.37/7.38 power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls))))=zero_zero_int. % 7.37/7.38 all A_13 (power_power_real(A_13,number_number_of_nat(bit0(bit1(pls))))=zero_zero_real<->A_13=zero_zero_real). % 7.37/7.38 all A_13 (is_int(A_13)-> (power_power_int(A_13,number_number_of_nat(bit0(bit1(pls))))=zero_zero_int<->A_13=zero_zero_int)). % 7.37/7.38 all W_16 (plus_plus_real(one_one_real,number267125858f_real(W_16))=number267125858f_real(plus_plus_int(bit1(pls),W_16))). % 7.37/7.38 all W_16 (plus_plus_int(one_one_int,number_number_of_int(W_16))=number_number_of_int(plus_plus_int(bit1(pls),W_16))). % 7.37/7.38 all V_20 (plus_plus_real(number267125858f_real(V_20),one_one_real)=number267125858f_real(plus_plus_int(V_20,bit1(pls)))). % 7.37/7.38 all V_20 (plus_plus_int(number_number_of_int(V_20),one_one_int)=number_number_of_int(plus_plus_int(V_20,bit1(pls)))). % 7.37/7.38 ord_less_int(t,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.38 -(all T (is_int(T)->plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)!=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),T))). % 7.37/7.38 zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.38 twoSqu142715416sum2sq(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t)). % 7.37/7.38 all W ord_less_e_q_int(W,W). % 7.37/7.38 all K_1 (is_int(K_1)->number_number_of_int(K_1)=K_1). % 7.37/7.38 all Z W (times_times_int(Z,W)=times_times_int(W,Z)). % 7.37/7.38 all Z W (ord_less_e_q_int(Z,W)|ord_less_e_q_int(W,Z)). % 7.37/7.38 all V_4 W (times_times_int(number_number_of_int(V_4),number_number_of_int(W))=number_number_of_int(times_times_int(V_4,W))). % 7.37/7.38 all K L_1 (ord_less_e_q_int(number_number_of_int(K),number_number_of_int(L_1))<->ord_less_e_q_int(K,L_1)). % 7.37/7.38 all X_2 Y_2 (ord_less_e_q_real(number267125858f_real(X_2),number267125858f_real(Y_2))<->ord_less_e_q_int(X_2,Y_2)). % 7.37/7.38 all X_2 Y_2 (ord_less_e_q_int(number_number_of_int(X_2),number_number_of_int(Y_2))<->ord_less_e_q_int(X_2,Y_2)). % 7.37/7.38 all Z1 Z2 Z3 (times_times_int(times_times_int(Z1,Z2),Z3)=times_times_int(Z1,times_times_int(Z2,Z3))). % 7.37/7.38 all K_1 I J (ord_less_e_q_int(I,J)-> (ord_less_e_q_int(J,K_1)->ord_less_e_q_int(I,K_1))). % 7.37/7.38 all Z W (is_int(Z)&is_int(W)-> (ord_less_e_q_int(Z,W)-> (ord_less_e_q_int(W,Z)->Z=W))). % 7.37/7.38 all X Y Z (power_power_int(X,plus_plus_nat(Y,Z))=times_times_int(power_power_int(X,Y),power_power_int(X,Z))). % 7.37/7.38 all K1 K2 (ord_less_e_q_int(bit1(K1),bit1(K2))<->ord_less_e_q_int(K1,K2)). % 7.37/7.38 all K L_1 (ord_less_e_q_int(bit1(K),bit1(L_1))<->ord_less_e_q_int(K,L_1)). % 7.37/7.38 ord_less_e_q_int(pls,pls). % 7.37/7.38 all K1 K2 (ord_less_e_q_int(bit0(K1),bit0(K2))<->ord_less_e_q_int(K1,K2)). % 7.37/7.38 all K L_1 (ord_less_e_q_int(bit0(K),bit0(L_1))<->ord_less_e_q_int(K,L_1)). % 7.37/7.38 all Z_1 W_1 (is_int(Z_1)&is_int(W_1)-> (ord_less_int(Z_1,W_1)<->ord_less_e_q_int(Z_1,W_1)&Z_1!=W_1)). % 7.37/7.38 all K_1 I J (ord_less_e_q_int(I,J)->ord_less_e_q_int(plus_plus_int(K_1,I),plus_plus_int(K_1,J))). % 7.37/7.38 all V_7 (number_number_of_nat(V_7)=zero_zero_nat<->ord_less_e_q_int(V_7,pls)). % 7.37/7.38 all V_7 (zero_zero_nat=number_number_of_nat(V_7)<->ord_less_e_q_int(V_7,pls)). % 7.37/7.38 all V_19 V_18 (ord_less_e_q_int(pls,V_18)-> (ord_less_e_q_int(pls,V_19)->times_times_real(number267125858f_real(V_18),number267125858f_real(V_19))=number267125858f_real(times_times_int(V_18,V_19)))). % 7.37/7.38 all V_19 V_18 (ord_less_e_q_int(pls,V_18)-> (ord_less_e_q_int(pls,V_19)->times_times_nat(number_number_of_nat(V_18),number_number_of_nat(V_19))=number_number_of_nat(times_times_int(V_18,V_19)))). % 7.37/7.38 all V_19 V_18 (ord_less_e_q_int(pls,V_18)-> (ord_less_e_q_int(pls,V_19)->times_times_int(number_number_of_int(V_18),number_number_of_int(V_19))=number_number_of_int(times_times_int(V_18,V_19)))). % 7.37/7.38 all V_17 W_15 Z_9 (times_times_real(number267125858f_real(V_17),times_times_real(number267125858f_real(W_15),Z_9))=times_times_real(number267125858f_real(times_times_int(V_17,W_15)),Z_9)). % 7.37/7.38 all V_17 W_15 Z_9 (times_times_int(number_number_of_int(V_17),times_times_int(number_number_of_int(W_15),Z_9))=times_times_int(number_number_of_int(times_times_int(V_17,W_15)),Z_9)). % 7.37/7.38 all V_16 W_14 (times_times_real(number267125858f_real(V_16),number267125858f_real(W_14))=number267125858f_real(times_times_int(V_16,W_14))). % 7.37/7.38 all V_16 W_14 (times_times_int(number_number_of_int(V_16),number_number_of_int(W_14))=number_number_of_int(times_times_int(V_16,W_14))). % 7.37/7.38 all V_15 W_13 (number267125858f_real(times_times_int(V_15,W_13))=times_times_real(number267125858f_real(V_15),number267125858f_real(W_13))). % 7.37/7.38 all V_15 W_13 (number_number_of_int(times_times_int(V_15,W_13))=times_times_int(number_number_of_int(V_15),number_number_of_int(W_13))). % 7.37/7.38 all X_2 Y_2 (ord_less_e_q_real(plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2)),zero_zero_real)<->X_2=zero_zero_real&Y_2=zero_zero_real). % 7.37/7.38 all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (ord_less_e_q_int(plus_plus_int(times_times_int(X_2,X_2),times_times_int(Y_2,Y_2)),zero_zero_int)<->X_2=zero_zero_int&Y_2=zero_zero_int)). % 7.37/7.38 all X_24 Y_16 ord_less_e_q_real(zero_zero_real,plus_plus_real(times_times_real(X_24,X_24),times_times_real(Y_16,Y_16))). % 7.37/7.38 all X_24 Y_16 ord_less_e_q_int(zero_zero_int,plus_plus_int(times_times_int(X_24,X_24),times_times_int(Y_16,Y_16))). % 7.37/7.38 all X_2 (ord_less_e_q_real(number267125858f_real(X_2),zero_zero_real)<->ord_less_e_q_int(X_2,pls)). % 7.37/7.38 all X_2 (ord_less_e_q_int(number_number_of_int(X_2),zero_zero_int)<->ord_less_e_q_int(X_2,pls)). % 7.37/7.38 all Y_2 (ord_less_e_q_real(zero_zero_real,number267125858f_real(Y_2))<->ord_less_e_q_int(pls,Y_2)). % 7.37/7.38 all Y_2 (ord_less_e_q_int(zero_zero_int,number_number_of_int(Y_2))<->ord_less_e_q_int(pls,Y_2)). % 7.37/7.38 all V_7 (ord_less_nat(zero_zero_nat,number_number_of_nat(V_7))<->ord_less_int(pls,V_7)). % 7.37/7.38 all V_7 W_1 (ord_less_e_q_real(number267125858f_real(V_7),number267125858f_real(W_1))<-> -ord_less_real(number267125858f_real(W_1),number267125858f_real(V_7))). % 7.37/7.38 all V_7 W_1 (ord_less_e_q_nat(number_number_of_nat(V_7),number_number_of_nat(W_1))<-> -ord_less_nat(number_number_of_nat(W_1),number_number_of_nat(V_7))). % 7.37/7.38 all V_7 W_1 (ord_less_e_q_int(number_number_of_int(V_7),number_number_of_int(W_1))<-> -ord_less_int(number_number_of_int(W_1),number_number_of_int(V_7))). % 7.37/7.38 all K (ord_less_e_q_int(pls,bit1(K))<->ord_less_e_q_int(pls,K)). % 7.37/7.38 all K1 K2 (ord_less_e_q_int(bit0(K1),bit1(K2))<->ord_less_e_q_int(K1,K2)). % 7.37/7.38 all K L_1 (ord_less_e_q_int(bit0(K),bit1(L_1))<->ord_less_e_q_int(K,L_1)). % 7.37/7.38 all K (ord_less_e_q_int(bit0(K),pls)<->ord_less_e_q_int(K,pls)). % 7.37/7.38 all K (ord_less_e_q_int(pls,bit0(K))<->ord_less_e_q_int(pls,K)). % 7.37/7.38 all Z_8 Z W_12 W (ord_less_int(W_12,W)-> (ord_less_e_q_int(Z_8,Z)->ord_less_int(plus_plus_int(W_12,Z_8),plus_plus_int(W,Z)))). % 7.37/7.38 number_number_of_nat(pls)=zero_zero_nat. % 7.37/7.38 zero_zero_nat=number_number_of_nat(pls). % 7.37/7.38 all X_2 (ord_less_e_q_real(number267125858f_real(X_2),one_one_real)<->ord_less_e_q_int(X_2,bit1(pls))). % 7.37/7.38 all X_2 (ord_less_e_q_int(number_number_of_int(X_2),one_one_int)<->ord_less_e_q_int(X_2,bit1(pls))). % 7.37/7.38 all Y_2 (ord_less_e_q_real(one_one_real,number267125858f_real(Y_2))<->ord_less_e_q_int(bit1(pls),Y_2)). % 7.37/7.38 all Y_2 (ord_less_e_q_int(one_one_int,number_number_of_int(Y_2))<->ord_less_e_q_int(bit1(pls),Y_2)). % 7.37/7.39 plus_plus_nat(one_one_nat,one_one_nat)=number_number_of_nat(bit0(bit1(pls))). % 7.37/7.39 all W (times_times_int(pls,W)=pls). % 7.37/7.39 all K_1 L (times_times_int(bit0(K_1),L)=bit0(times_times_int(K_1,L))). % 7.37/7.39 all K L_1 (ord_less_int(number_number_of_int(K),number_number_of_int(L_1))<->ord_less_int(K,L_1)). % 7.37/7.39 all Z (is_int(Z)->times_times_int(Z,one_one_int)=Z). % 7.37/7.39 all Z (is_int(Z)->times_times_int(one_one_int,Z)=Z). % 7.37/7.39 all V_4 W (plus_plus_int(number_number_of_int(V_4),number_number_of_int(W))=number_number_of_int(plus_plus_int(V_4,W))). % 7.37/7.39 all Z1 Z2 W (times_times_int(plus_plus_int(Z1,Z2),W)=plus_plus_int(times_times_int(Z1,W),times_times_int(Z2,W))). % 7.37/7.39 all W Z1 Z2 (times_times_int(W,plus_plus_int(Z1,Z2))=plus_plus_int(times_times_int(W,Z1),times_times_int(W,Z2))). % 7.37/7.39 all K (ord_less_e_q_int(bit1(K),pls)<->ord_less_int(K,pls)). % 7.37/7.39 all K (ord_less_int(pls,bit1(K))<->ord_less_e_q_int(pls,K)). % 7.37/7.39 all K1 K2 (ord_less_e_q_int(bit1(K1),bit0(K2))<->ord_less_int(K1,K2)). % 7.37/7.39 all K L_1 (ord_less_e_q_int(bit1(K),bit0(L_1))<->ord_less_int(K,L_1)). % 7.37/7.39 all K1 K2 (ord_less_int(bit0(K1),bit1(K2))<->ord_less_e_q_int(K1,K2)). % 7.37/7.39 all K L_1 (ord_less_int(bit0(K),bit1(L_1))<->ord_less_e_q_int(K,L_1)). % 7.37/7.39 all V_7 V_6 (ord_less_nat(number_number_of_nat(V_7),number_number_of_nat(V_6))<-> (ord_less_int(V_7,V_6)->ord_less_int(pls,V_6))&ord_less_int(V_7,V_6)). % 7.37/7.39 all Z_1 (ord_less_e_q_int(one_one_int,Z_1)<->ord_less_int(zero_zero_int,Z_1)). % 7.37/7.39 number_number_of_nat(bit1(pls))=one_one_nat. % 7.37/7.39 one_one_nat=number_number_of_nat(bit1(pls)). % 7.37/7.39 all W Z (ord_less_int(W,Z)->ord_less_e_q_int(plus_plus_int(W,one_one_int),Z)). % 7.37/7.39 all W_1 Z_1 (ord_less_e_q_int(plus_plus_int(W_1,one_one_int),Z_1)<->ord_less_int(W_1,Z_1)). % 7.37/7.39 all W_1 Z_1 (ord_less_int(W_1,plus_plus_int(Z_1,one_one_int))<->ord_less_e_q_int(W_1,Z_1)). % 7.37/7.39 all V_14 V_13 (ord_less_e_q_int(pls,V_13)-> (ord_less_e_q_int(pls,V_14)->plus_plus_real(number267125858f_real(V_13),number267125858f_real(V_14))=number267125858f_real(plus_plus_int(V_13,V_14)))). % 7.37/7.39 all V_14 V_13 (ord_less_e_q_int(pls,V_13)-> (ord_less_e_q_int(pls,V_14)->plus_plus_nat(number_number_of_nat(V_13),number_number_of_nat(V_14))=number_number_of_nat(plus_plus_int(V_13,V_14)))). % 7.37/7.39 all V_14 V_13 (ord_less_e_q_int(pls,V_13)-> (ord_less_e_q_int(pls,V_14)->plus_plus_int(number_number_of_int(V_13),number_number_of_int(V_14))=number_number_of_int(plus_plus_int(V_13,V_14)))). % 7.37/7.39 all V_5 V_4 ((ord_less_int(V_4,pls)->plus_plus_nat(number_number_of_nat(V_4),number_number_of_nat(V_5))=number_number_of_nat(V_5))& (-ord_less_int(V_4,pls)-> (ord_less_int(V_5,pls)->plus_plus_nat(number_number_of_nat(V_4),number_number_of_nat(V_5))=number_number_of_nat(V_4))& (-ord_less_int(V_5,pls)->plus_plus_nat(number_number_of_nat(V_4),number_number_of_nat(V_5))=number_number_of_nat(plus_plus_int(V_4,V_5))))). % 7.37/7.39 all Z (ord_less_e_q_int(zero_zero_int,Z)->ord_less_int(zero_zero_int,plus_plus_int(one_one_int,Z))). % 7.37/7.39 all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (number267125858f_real(X_2)=number267125858f_real(Y_2)<->X_2=Y_2)). % 7.37/7.39 all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (number_number_of_int(X_2)=number_number_of_int(Y_2)<->X_2=Y_2)). % 7.37/7.39 all W_1 X_2 (number267125858f_real(W_1)=X_2<->X_2=number267125858f_real(W_1)). % 7.37/7.39 all W_1 X_2 (is_int(X_2)-> (number_number_of_int(W_1)=X_2<->X_2=number_number_of_int(W_1))). % 7.37/7.39 all W_1 X_2 (number_number_of_nat(W_1)=X_2<->X_2=number_number_of_nat(W_1)). % 7.37/7.39 all K L_1 (is_int(K)&is_int(L_1)-> (bit1(K)=bit1(L_1)<->K=L_1)). % 7.37/7.39 all K L_1 (is_int(K)&is_int(L_1)-> (bit0(K)=bit0(L_1)<->K=L_1)). % 7.37/7.39 all X Y (is_int(X)&is_int(Y)->ord_less_int(X,Y)|X=Y|ord_less_int(Y,X)). % 7.37/7.39 all X_2 Y_2 (plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2))=zero_zero_real<->X_2=zero_zero_real&Y_2=zero_zero_real). % 7.37/7.39 all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (plus_plus_int(times_times_int(X_2,X_2),times_times_int(Y_2,Y_2))=zero_zero_int<->X_2=zero_zero_int&Y_2=zero_zero_int)). % 7.37/7.39 all A_55 B_20 V_12 (times_times_real(plus_plus_real(A_55,B_20),number267125858f_real(V_12))=plus_plus_real(times_times_real(A_55,number267125858f_real(V_12)),times_times_real(B_20,number267125858f_real(V_12)))). % 7.37/7.39 all A_55 B_20 V_12 (times_times_nat(plus_plus_nat(A_55,B_20),number_number_of_nat(V_12))=plus_plus_nat(times_times_nat(A_55,number_number_of_nat(V_12)),times_times_nat(B_20,number_number_of_nat(V_12)))). % 7.37/7.39 all A_55 B_20 V_12 (times_times_int(plus_plus_int(A_55,B_20),number_number_of_int(V_12))=plus_plus_int(times_times_int(A_55,number_number_of_int(V_12)),times_times_int(B_20,number_number_of_int(V_12)))). % 7.37/7.39 all V_11 B_19 C_13 (times_times_real(number267125858f_real(V_11),plus_plus_real(B_19,C_13))=plus_plus_real(times_times_real(number267125858f_real(V_11),B_19),times_times_real(number267125858f_real(V_11),C_13))). % 7.37/7.39 all V_11 B_19 C_13 (times_times_nat(number_number_of_nat(V_11),plus_plus_nat(B_19,C_13))=plus_plus_nat(times_times_nat(number_number_of_nat(V_11),B_19),times_times_nat(number_number_of_nat(V_11),C_13))). % 7.37/7.39 all V_11 B_19 C_13 (times_times_int(number_number_of_int(V_11),plus_plus_int(B_19,C_13))=plus_plus_int(times_times_int(number_number_of_int(V_11),B_19),times_times_int(number_number_of_int(V_11),C_13))). % 7.37/7.39 all Z1 Z2 Z3 (plus_plus_int(plus_plus_int(Z1,Z2),Z3)=plus_plus_int(Z1,plus_plus_int(Z2,Z3))). % 7.37/7.39 all X Y Z (plus_plus_int(X,plus_plus_int(Y,Z))=plus_plus_int(Y,plus_plus_int(X,Z))). % 7.37/7.39 all Z W (plus_plus_int(Z,W)=plus_plus_int(W,Z)). % 7.37/7.39 zero_zero_int=number_number_of_int(pls). % 7.37/7.39 all K_1 I J (ord_less_int(I,J)-> (ord_less_int(zero_zero_int,K_1)->ord_less_int(times_times_int(K_1,I),times_times_int(K_1,J)))). % 7.37/7.39 all X_23 Y_15 (power_power_real(X_23,number_number_of_nat(bit0(bit1(pls))))=power_power_real(Y_15,number_number_of_nat(bit0(bit1(pls))))-> (ord_less_e_q_real(zero_zero_real,X_23)-> (ord_less_e_q_real(zero_zero_real,Y_15)->X_23=Y_15))). % 7.37/7.39 all X_23 Y_15 (power_power_nat(X_23,number_number_of_nat(bit0(bit1(pls))))=power_power_nat(Y_15,number_number_of_nat(bit0(bit1(pls))))-> (ord_less_e_q_nat(zero_zero_nat,X_23)-> (ord_less_e_q_nat(zero_zero_nat,Y_15)->X_23=Y_15))). % 7.37/7.39 all X_23 Y_15 (is_int(X_23)&is_int(Y_15)-> (power_power_int(X_23,number_number_of_nat(bit0(bit1(pls))))=power_power_int(Y_15,number_number_of_nat(bit0(bit1(pls))))-> (ord_less_e_q_int(zero_zero_int,X_23)-> (ord_less_e_q_int(zero_zero_int,Y_15)->X_23=Y_15)))). % 7.37/7.39 all X_22 Y_14 (ord_less_e_q_real(power_power_real(X_22,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_14,number_number_of_nat(bit0(bit1(pls)))))-> (ord_less_e_q_real(zero_zero_real,Y_14)->ord_less_e_q_real(X_22,Y_14))). % 7.37/7.39 all X_22 Y_14 (ord_less_e_q_nat(power_power_nat(X_22,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(Y_14,number_number_of_nat(bit0(bit1(pls)))))-> (ord_less_e_q_nat(zero_zero_nat,Y_14)->ord_less_e_q_nat(X_22,Y_14))). % 7.37/7.39 all X_22 Y_14 (ord_less_e_q_int(power_power_int(X_22,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_14,number_number_of_nat(bit0(bit1(pls)))))-> (ord_less_e_q_int(zero_zero_int,Y_14)->ord_less_e_q_int(X_22,Y_14))). % 7.37/7.39 all A_54 ord_less_e_q_real(zero_zero_real,power_power_real(A_54,number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.39 all A_54 ord_less_e_q_int(zero_zero_int,power_power_int(A_54,number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.39 all X_21 Y_13 (ord_less_real(power_power_real(X_21,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_13,number_number_of_nat(bit0(bit1(pls)))))-> (ord_less_e_q_real(zero_zero_real,Y_13)->ord_less_real(X_21,Y_13))). % 7.37/7.39 all X_21 Y_13 (ord_less_nat(power_power_nat(X_21,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(Y_13,number_number_of_nat(bit0(bit1(pls)))))-> (ord_less_e_q_nat(zero_zero_nat,Y_13)->ord_less_nat(X_21,Y_13))). % 7.37/7.39 all X_21 Y_13 (ord_less_int(power_power_int(X_21,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_13,number_number_of_nat(bit0(bit1(pls)))))-> (ord_less_e_q_int(zero_zero_int,Y_13)->ord_less_int(X_21,Y_13))). % 7.37/7.39 all X_2 Y_2 (ord_less_e_q_real(plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)<->X_2=zero_zero_real&Y_2=zero_zero_real). % 7.37/7.39 all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (ord_less_e_q_int(plus_plus_int(power_power_int(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)<->X_2=zero_zero_int&Y_2=zero_zero_int)). % 7.37/7.39 all X_20 Y_12 ord_less_e_q_real(zero_zero_real,plus_plus_real(power_power_real(X_20,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_12,number_number_of_nat(bit0(bit1(pls)))))). % 7.37/7.39 all X_20 Y_12 ord_less_e_q_int(zero_zero_int,plus_plus_int(power_power_int(X_20,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_12,number_number_of_nat(bit0(bit1(pls)))))). % 7.37/7.39 all X_2 Y_2 (ord_less_real(zero_zero_real,plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2)))<->X_2!=zero_zero_real|Y_2!=zero_zero_real). % 7.37/7.39 all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (ord_less_int(zero_zero_int,plus_plus_int(times_times_int(X_2,X_2),times_times_int(Y_2,Y_2)))<->X_2!=zero_zero_int|Y_2!=zero_zero_int)). % 7.37/7.39 all X_19 Y_11 (-ord_less_real(plus_plus_real(times_times_real(X_19,X_19),times_times_real(Y_11,Y_11)),zero_zero_real)). % 7.37/7.39 all X_19 Y_11 (-ord_less_int(plus_plus_int(times_times_int(X_19,X_19),times_times_int(Y_11,Y_11)),zero_zero_int)). % 7.37/7.39 all A_53 (times_times_real(number267125858f_real(bit1(pls)),A_53)=A_53). % 7.37/7.39 all A_53 (is_int(A_53)->times_times_int(number_number_of_int(bit1(pls)),A_53)=A_53). % 7.37/7.39 all A_52 (times_times_real(A_52,number267125858f_real(bit1(pls)))=A_52). % 7.37/7.39 all A_52 (is_int(A_52)->times_times_int(A_52,number_number_of_int(bit1(pls)))=A_52). % 7.37/7.39 one_one_int=number_number_of_int(bit1(pls)). % 7.37/7.39 all K_1 L (times_times_int(bit1(K_1),L)=plus_plus_int(bit0(times_times_int(K_1,L)),L)). % 7.37/7.39 all N_1 Ma (is_int(N_1)&is_int(Ma)-> (ord_less_int(zero_zero_int,Ma)-> (times_times_int(Ma,N_1)=one_one_int<->Ma=one_one_int&N_1=one_one_int))). % 7.37/7.39 all A_13 (plus_plus_real(A_13,A_13)=zero_zero_real<->A_13=zero_zero_real). % 7.37/7.39 all A_13 (is_int(A_13)-> (plus_plus_int(A_13,A_13)=zero_zero_int<->A_13=zero_zero_int)). % 7.37/7.39 all K_1 (bit1(K_1)!=pls). % 7.37/7.39 all L (pls!=bit1(L)). % 7.37/7.39 all K_1 L (bit1(K_1)!=bit0(L)). % 7.37/7.39 all K_1 L (bit0(K_1)!=bit1(L)). % 7.37/7.39 all K (is_int(K)-> (bit0(K)=pls<->K=pls)). % 7.37/7.39 all L_1 (is_int(L_1)-> (pls=bit0(L_1)<->pls=L_1)). % 7.37/7.39 bit0(pls)=pls. % 7.37/7.39 pls=zero_zero_int. % 7.37/7.39 all K1 K2 (ord_less_int(bit1(K1),bit1(K2))<->ord_less_int(K1,K2)). % 7.37/7.39 all K L_1 (ord_less_int(bit1(K),bit1(L_1))<->ord_less_int(K,L_1)). % 7.37/7.39 -ord_less_int(pls,pls). % 7.37/7.39 all K1 K2 (ord_less_int(bit0(K1),bit0(K2))<->ord_less_int(K1,K2)). % 7.37/7.39 all K L_1 (ord_less_int(bit0(K),bit0(L_1))<->ord_less_int(K,L_1)). % 7.37/7.39 zero_zero_int!=one_one_int. % 7.37/7.39 all K_1 (is_int(K_1)->plus_plus_int(K_1,pls)=K_1). % 7.37/7.39 all K_1 (is_int(K_1)->plus_plus_int(pls,K_1)=K_1). % 7.37/7.39 all K_1 L (plus_plus_int(bit0(K_1),bit0(L))=bit0(plus_plus_int(K_1,L))). % 7.37/7.39 all K_1 (bit0(K_1)=plus_plus_int(K_1,K_1)). % 7.37/7.39 all Z (is_int(Z)->plus_plus_int(Z,zero_zero_int)=Z). % 7.37/7.39 all Z (is_int(Z)->plus_plus_int(zero_zero_int,Z)=Z). % 7.37/7.39 all K_1 I J (ord_less_int(I,J)->ord_less_int(plus_plus_int(I,K_1),plus_plus_int(J,K_1))). % 7.37/7.39 all W_11 (times_times_real(plus_plus_real(one_one_real,one_one_real),number267125858f_real(W_11))=number267125858f_real(bit0(W_11))). % 7.37/7.39 all W_11 (times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11))=number_number_of_int(bit0(W_11))). % 7.37/7.39 all A_51 (power_power_real(A_51,number_number_of_nat(bit1(bit1(pls))))=times_times_real(times_times_real(A_51,A_51),A_51)). % 7.37/7.39 all A_51 (power_power_nat(A_51,number_number_of_nat(bit1(bit1(pls))))=times_times_nat(times_times_nat(A_51,A_51),A_51)). % 7.37/7.39 all A_51 (power_power_int(A_51,number_number_of_nat(bit1(bit1(pls))))=times_times_int(times_times_int(A_51,A_51),A_51)). % 7.37/7.39 all Z_7 (times_times_real(number267125858f_real(bit0(bit1(pls))),Z_7)=plus_plus_real(Z_7,Z_7)). % 7.37/7.39 all Z_7 (times_times_nat(number_number_of_nat(bit0(bit1(pls))),Z_7)=plus_plus_nat(Z_7,Z_7)). % 7.37/7.39 all Z_7 (times_times_int(number_number_of_int(bit0(bit1(pls))),Z_7)=plus_plus_int(Z_7,Z_7)). % 7.37/7.39 all Z_6 (times_times_real(number267125858f_real(bit0(bit1(pls))),Z_6)=plus_plus_real(Z_6,Z_6)). % 7.37/7.39 all Z_6 (times_times_int(number_number_of_int(bit0(bit1(pls))),Z_6)=plus_plus_int(Z_6,Z_6)). % 7.37/7.39 all Z_5 (times_times_real(Z_5,number267125858f_real(bit0(bit1(pls))))=plus_plus_real(Z_5,Z_5)). % 7.37/7.39 all Z_5 (times_times_nat(Z_5,number_number_of_nat(bit0(bit1(pls))))=plus_plus_nat(Z_5,Z_5)). % 7.37/7.39 all Z_5 (times_times_int(Z_5,number_number_of_int(bit0(bit1(pls))))=plus_plus_int(Z_5,Z_5)). % 7.37/7.39 all Z_4 (times_times_real(Z_4,number267125858f_real(bit0(bit1(pls))))=plus_plus_real(Z_4,Z_4)). % 7.37/7.39 all Z_4 (times_times_int(Z_4,number_number_of_int(bit0(bit1(pls))))=plus_plus_int(Z_4,Z_4)). % 7.37/7.39 all A_50 (power_power_real(A_50,number_number_of_nat(bit0(bit1(pls))))=times_times_real(A_50,A_50)). % 7.37/7.39 all A_50 (power_power_nat(A_50,number_number_of_nat(bit0(bit1(pls))))=times_times_nat(A_50,A_50)). % 7.37/7.39 all A_50 (power_power_int(A_50,number_number_of_nat(bit0(bit1(pls))))=times_times_int(A_50,A_50)). % 7.37/7.39 all A_13 (ord_less_real(plus_plus_real(A_13,A_13),zero_zero_real)<->ord_less_real(A_13,zero_zero_real)). % 7.37/7.39 all A_13 (ord_less_int(plus_plus_int(A_13,A_13),zero_zero_int)<->ord_less_int(A_13,zero_zero_int)). % 7.37/7.39 number267125858f_real(pls)=zero_zero_real. % 7.37/7.39 number_number_of_nat(pls)=zero_zero_nat. % 7.37/7.39 number_number_of_int(pls)=zero_zero_int. % 7.37/7.39 number267125858f_real(pls)=zero_zero_real. % 7.37/7.39 number_number_of_int(pls)=zero_zero_int. % 7.37/7.39 zero_zero_real=number267125858f_real(pls). % 7.37/7.39 zero_zero_int=number_number_of_int(pls). % 7.37/7.39 all A_49 (plus_plus_real(number267125858f_real(pls),A_49)=A_49). % 7.37/7.39 all A_49 (is_int(A_49)->plus_plus_int(number_number_of_int(pls),A_49)=A_49). % 7.37/7.39 all A_48 (plus_plus_real(A_48,number267125858f_real(pls))=A_48). % 7.37/7.39 all A_48 (is_int(A_48)->plus_plus_int(A_48,number_number_of_int(pls))=A_48). % 7.37/7.39 all X_2 Y_2 (ord_less_real(number267125858f_real(X_2),number267125858f_real(Y_2))<->ord_less_int(X_2,Y_2)). % 7.37/7.39 all X_2 Y_2 (ord_less_int(number_number_of_int(X_2),number_number_of_int(Y_2))<->ord_less_int(X_2,Y_2)). % 7.37/7.39 all V_10 W_10 Z_3 (plus_plus_real(number267125858f_real(V_10),plus_plus_real(number267125858f_real(W_10),Z_3))=plus_plus_real(number267125858f_real(plus_plus_int(V_10,W_10)),Z_3)). % 7.37/7.39 all V_10 W_10 Z_3 (plus_plus_int(number_number_of_int(V_10),plus_plus_int(number_number_of_int(W_10),Z_3))=plus_plus_int(number_number_of_int(plus_plus_int(V_10,W_10)),Z_3)). % 7.37/7.39 all V_9 W_9 (plus_plus_real(number267125858f_real(V_9),number267125858f_real(W_9))=number267125858f_real(plus_plus_int(V_9,W_9))). % 7.37/7.39 all V_9 W_9 (plus_plus_int(number_number_of_int(V_9),number_number_of_int(W_9))=number_number_of_int(plus_plus_int(V_9,W_9))). % 7.37/7.39 all V_8 W_8 (number267125858f_real(plus_plus_int(V_8,W_8))=plus_plus_real(number267125858f_real(V_8),number267125858f_real(W_8))). % 7.37/7.39 all V_8 W_8 (number_number_of_int(plus_plus_int(V_8,W_8))=plus_plus_int(number_number_of_int(V_8),number_number_of_int(W_8))). % 7.37/7.39 all K (ord_less_int(bit1(K),pls)<->ord_less_int(K,pls)). % 7.37/7.39 all K1 K2 (ord_less_int(bit1(K1),bit0(K2))<->ord_less_int(K1,K2)). % 7.37/7.39 all K L_1 (ord_less_int(bit1(K),bit0(L_1))<->ord_less_int(K,L_1)). % 7.37/7.39 all W_1 (ord_less_int(bit1(W_1),zero_zero_int)<->ord_less_int(W_1,zero_zero_int)). % 7.37/7.39 all K (ord_less_int(bit0(K),pls)<->ord_less_int(K,pls)). % 7.37/7.39 all K (ord_less_int(pls,bit0(K))<->ord_less_int(pls,K)). % 7.37/7.39 -ord_less_int(pls,zero_zero_int). % 7.37/7.39 all W_1 (ord_less_int(bit0(W_1),zero_zero_int)<->ord_less_int(W_1,zero_zero_int)). % 7.37/7.39 all K_1 L (plus_plus_int(bit1(K_1),bit0(L))=bit1(plus_plus_int(K_1,L))). % 7.37/7.39 all K_1 L (plus_plus_int(bit0(K_1),bit1(L))=bit1(plus_plus_int(K_1,L))). % 7.37/7.39 ord_less_int(zero_zero_int,one_one_int). % 7.37/7.39 all K_1 (bit1(K_1)=plus_plus_int(plus_plus_int(one_one_int,K_1),K_1)). % 7.37/7.39 all Z (plus_plus_int(plus_plus_int(one_one_int,Z),Z)!=zero_zero_int). % 7.37/7.39 all W_1 Z_1 (is_int(W_1)&is_int(Z_1)-> (ord_less_int(W_1,plus_plus_int(Z_1,one_one_int))<->ord_less_int(W_1,Z_1)|W_1=Z_1)). % 7.37/7.39 all W_7 (power_power_real(number267125858f_real(W_7),number_number_of_nat(bit0(bit1(pls))))=times_times_real(number267125858f_real(W_7),number267125858f_real(W_7))). % 7.37/7.39 all W_7 (power_power_nat(number_number_of_nat(W_7),number_number_of_nat(bit0(bit1(pls))))=times_times_nat(number_number_of_nat(W_7),number_number_of_nat(W_7))). % 7.37/7.39 all W_7 (power_power_int(number_number_of_int(W_7),number_number_of_nat(bit0(bit1(pls))))=times_times_int(number_number_of_int(W_7),number_number_of_int(W_7))). % 7.37/7.39 all X_18 Y_10 (power_power_real(plus_plus_real(X_18,Y_10),number_number_of_nat(bit0(bit1(pls))))=plus_plus_real(plus_plus_real(power_power_real(X_18,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_10,number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X_18),Y_10))). % 7.37/7.39 all X_18 Y_10 (power_power_nat(plus_plus_nat(X_18,Y_10),number_number_of_nat(bit0(bit1(pls))))=plus_plus_nat(plus_plus_nat(power_power_nat(X_18,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(Y_10,number_number_of_nat(bit0(bit1(pls))))),times_times_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))),X_18),Y_10))). % 7.37/7.39 all X_18 Y_10 (power_power_int(plus_plus_int(X_18,Y_10),number_number_of_nat(bit0(bit1(pls))))=plus_plus_int(plus_plus_int(power_power_int(X_18,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_10,number_number_of_nat(bit0(bit1(pls))))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X_18),Y_10))). % 7.37/7.39 all W_6 (number267125858f_real(bit0(W_6))=plus_plus_real(plus_plus_real(zero_zero_real,number267125858f_real(W_6)),number267125858f_real(W_6))). % 7.37/7.39 all W_6 (number_number_of_int(bit0(W_6))=plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(W_6)),number_number_of_int(W_6))). % 7.37/7.39 all W_5 (number267125858f_real(bit1(W_5))=plus_plus_real(plus_plus_real(one_one_real,number267125858f_real(W_5)),number267125858f_real(W_5))). % 7.37/7.39 all W_5 (number_number_of_int(bit1(W_5))=plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5))). % 7.37/7.39 number267125858f_real(bit1(pls))=one_one_real. % 7.37/7.39 number_number_of_nat(bit1(pls))=one_one_nat. % 7.37/7.39 number_number_of_int(bit1(pls))=one_one_int. % 7.37/7.39 number267125858f_real(bit1(pls))=one_one_real. % 7.37/7.39 number_number_of_int(bit1(pls))=one_one_int. % 7.37/7.39 one_one_real=number267125858f_real(bit1(pls)). % 7.37/7.39 one_one_int=number_number_of_int(bit1(pls)). % 7.37/7.39 all Z_1 (ord_less_int(plus_plus_int(plus_plus_int(one_one_int,Z_1),Z_1),zero_zero_int)<->ord_less_int(Z_1,zero_zero_int)). % 7.37/7.39 all X_2 (ord_less_real(number267125858f_real(X_2),zero_zero_real)<->ord_less_int(X_2,pls)). % 7.37/7.39 all X_2 (ord_less_int(number_number_of_int(X_2),zero_zero_int)<->ord_less_int(X_2,pls)). % 7.37/7.39 all Y_2 (ord_less_real(zero_zero_real,number267125858f_real(Y_2))<->ord_less_int(pls,Y_2)). % 7.37/7.39 all Y_2 (ord_less_int(zero_zero_int,number_number_of_int(Y_2))<->ord_less_int(pls,Y_2)). % 7.37/7.39 plus_plus_real(one_one_real,one_one_real)=number267125858f_real(bit0(bit1(pls))). % 7.37/7.39 plus_plus_nat(one_one_nat,one_one_nat)=number_number_of_nat(bit0(bit1(pls))). % 7.37/7.39 plus_plus_int(one_one_int,one_one_int)=number_number_of_int(bit0(bit1(pls))). % 7.37/7.39 plus_plus_real(one_one_real,one_one_real)=number267125858f_real(bit0(bit1(pls))). % 7.37/7.39 plus_plus_int(one_one_int,one_one_int)=number_number_of_int(bit0(bit1(pls))). % 7.37/7.39 all X_2 (ord_less_real(number267125858f_real(X_2),one_one_real)<->ord_less_int(X_2,bit1(pls))). % 7.37/7.39 all X_2 (ord_less_int(number_number_of_int(X_2),one_one_int)<->ord_less_int(X_2,bit1(pls))). % 7.37/7.39 all Y_2 (ord_less_real(one_one_real,number267125858f_real(Y_2))<->ord_less_int(bit1(pls),Y_2)). % 7.37/7.39 all Y_2 (ord_less_int(one_one_int,number_number_of_int(Y_2))<->ord_less_int(bit1(pls),Y_2)). % 7.37/7.39 dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)). % 7.37/7.39 all A B (power_power_int(plus_plus_int(A,B),number_number_of_nat(bit1(bit1(pls))))=plus_plus_int(plus_plus_int(plus_plus_int(power_power_int(A,number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),power_power_int(A,number_number_of_nat(bit0(bit1(pls))))),B)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),A),power_power_int(B,number_number_of_nat(bit0(bit1(pls)))))),power_power_int(B,number_number_of_nat(bit1(bit1(pls)))))). % 7.37/7.39 all A B (power_power_int(plus_plus_int(A,B),number_number_of_nat(bit0(bit1(pls))))=plus_plus_int(plus_plus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B)),power_power_int(B,number_number_of_nat(bit0(bit1(pls)))))). % 7.37/7.39 all X (is_int(X)-> (ord_less_e_q_int(zero_zero_int,X)-> (ord_less_int(X,number_number_of_int(bit0(bit1(pls))))->X=zero_zero_int|X=one_one_int))). % 7.37/7.39 ord_less_e_q_int(zero_zero_int,s). % 7.37/7.39 ord_less_int(s,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.39 zcong(s1,s,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.39 all A (times_times_int(A,power_power_int(A,number_number_of_nat(bit0(bit1(pls)))))=power_power_int(A,number_number_of_nat(bit1(bit1(pls))))). % 7.37/7.39 all X ord_less_e_q_int(X,power_power_int(X,number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.39 all R Q A (ord_less_int(zero_zero_int,A)-> (A=plus_plus_int(R,times_times_int(A,Q))-> (ord_less_int(R,A)->ord_less_e_q_int(one_one_int,Q)))). % 7.37/7.39 all R Q A (ord_less_int(zero_zero_int,A)-> (A=plus_plus_int(R,times_times_int(A,Q))-> (ord_less_e_q_int(zero_zero_int,R)->ord_less_e_q_int(Q,one_one_int)))). % 7.37/7.39 ord_less_e_q_int(zero_zero_int,number_number_of_int(bit0(bit1(pls)))). % 7.37/7.39 all X_17 N_34 (power_power_real(X_17,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_34))=times_times_real(power_power_real(X_17,N_34),power_power_real(X_17,N_34))). % 7.37/7.39 all X_17 N_34 (power_power_nat(X_17,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_34))=times_times_nat(power_power_nat(X_17,N_34),power_power_nat(X_17,N_34))). % 7.37/7.39 all X_17 N_34 (power_power_int(X_17,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_34))=times_times_int(power_power_int(X_17,N_34),power_power_int(X_17,N_34))). % 7.37/7.39 zcong(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),power_power_int(s1,number_number_of_nat(bit0(bit1(pls)))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.39 exists X_1 (is_int(X_1)&ord_less_e_q_int(zero_zero_int,X_1)&ord_less_int(X_1,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))&zcong(s1,X_1,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))& (all Y_1 (is_int(Y_1)-> (ord_less_e_q_int(zero_zero_int,Y_1)&ord_less_int(Y_1,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))&zcong(s1,Y_1,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))->Y_1=X_1)))). % 7.37/7.39 -(all S (is_int(S)-> -(ord_less_e_q_int(zero_zero_int,S)&ord_less_int(S,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))&zcong(s1,S,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))))). % 7.37/7.39 zcong(power_power_int(s1,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.39 all X_2 N_1 (ord_less_nat(zero_zero_nat,power_power_nat(X_2,N_1))<->N_1=zero_zero_nat|ord_less_nat(zero_zero_nat,X_2)). % 7.37/7.39 all A N P (zprime(P)-> (dvd_dvd_int(P,power_power_int(A,N))->dvd_dvd_int(P,A))). % 7.37/7.39 all X_16 P_3 Q_4 (power_power_real(power_power_real(X_16,P_3),Q_4)=power_power_real(X_16,times_times_nat(P_3,Q_4))). % 7.37/7.39 all X_16 P_3 Q_4 (power_power_nat(power_power_nat(X_16,P_3),Q_4)=power_power_nat(X_16,times_times_nat(P_3,Q_4))). % 7.37/7.39 all X_16 P_3 Q_4 (power_power_int(power_power_int(X_16,P_3),Q_4)=power_power_int(X_16,times_times_nat(P_3,Q_4))). % 7.37/7.39 all N A B P (zprime(P)-> (-dvd_dvd_int(P,B)-> (dvd_dvd_int(power_power_int(P,N),times_times_int(A,B))->dvd_dvd_int(power_power_int(P,N),A)))). % 7.37/7.39 all N B A P (zprime(P)-> (-dvd_dvd_int(P,A)-> (dvd_dvd_int(power_power_int(P,N),times_times_int(A,B))->dvd_dvd_int(power_power_int(P,N),B)))). % 7.37/7.39 all X Y Z (power_power_int(power_power_int(X,Y),Z)=power_power_int(X,times_times_nat(Y,Z))). % 7.37/7.39 all N M (ord_less_int(zero_zero_int,M)-> (ord_less_int(M,N)-> -dvd_dvd_int(N,M))). % 7.37/7.39 all N M (is_int(N)&is_int(M)-> (ord_less_e_q_int(zero_zero_int,M)-> (ord_less_e_q_int(zero_zero_int,N)-> (dvd_dvd_int(M,N)-> (dvd_dvd_int(N,M)->M=N))))). % 7.37/7.39 all K_1 M N (is_int(K_1)-> (dvd_dvd_int(times_times_int(K_1,M),times_times_int(K_1,N))-> (K_1!=zero_zero_int->dvd_dvd_int(M,N)))). % 7.37/7.39 all K N_1 Ma (dvd_dvd_int(K,plus_plus_int(N_1,times_times_int(K,Ma)))<->dvd_dvd_int(K,N_1)). % 7.37/7.39 all C_1 X_2 Ta A_13 D_2 (dvd_dvd_int(A_13,D_2)-> (dvd_dvd_int(A_13,plus_plus_int(X_2,Ta))<->dvd_dvd_int(A_13,plus_plus_int(plus_plus_int(X_2,times_times_int(C_1,D_2)),Ta)))). % 7.37/7.39 zprime(number_number_of_int(bit0(bit1(pls)))). % 7.37/7.39 all Z N (dvd_dvd_int(Z,N)-> (ord_less_int(zero_zero_int,N)->ord_less_e_q_int(Z,N))). % 7.37/7.39 all Y X (twoSqu142715416sum2sq(X)-> (twoSqu142715416sum2sq(Y)->twoSqu142715416sum2sq(times_times_int(X,Y)))). % 7.37/7.39 all V_7 V_6 (ord_less_e_q_nat(number_number_of_nat(V_7),number_number_of_nat(V_6))<-> (-ord_less_e_q_int(V_7,V_6)->ord_less_e_q_int(V_7,pls))). % 7.37/7.39 all Lx_6 Ly_4 Rx_6 Ry_4 (times_times_real(times_times_real(Lx_6,Ly_4),times_times_real(Rx_6,Ry_4))=times_times_real(times_times_real(Lx_6,Rx_6),times_times_real(Ly_4,Ry_4))). % 7.37/7.39 all Lx_6 Ly_4 Rx_6 Ry_4 (times_times_nat(times_times_nat(Lx_6,Ly_4),times_times_nat(Rx_6,Ry_4))=times_times_nat(times_times_nat(Lx_6,Rx_6),times_times_nat(Ly_4,Ry_4))). % 7.37/7.39 all Lx_6 Ly_4 Rx_6 Ry_4 (times_times_int(times_times_int(Lx_6,Ly_4),times_times_int(Rx_6,Ry_4))=times_times_int(times_times_int(Lx_6,Rx_6),times_times_int(Ly_4,Ry_4))). % 7.37/7.39 all Lx_5 Ly_3 Rx_5 Ry_3 (times_times_real(times_times_real(Lx_5,Ly_3),times_times_real(Rx_5,Ry_3))=times_times_real(Rx_5,times_times_real(times_times_real(Lx_5,Ly_3),Ry_3))). % 7.37/7.39 all Lx_5 Ly_3 Rx_5 Ry_3 (times_times_nat(times_times_nat(Lx_5,Ly_3),times_times_nat(Rx_5,Ry_3))=times_times_nat(Rx_5,times_times_nat(times_times_nat(Lx_5,Ly_3),Ry_3))). % 7.37/7.39 all Lx_5 Ly_3 Rx_5 Ry_3 (times_times_int(times_times_int(Lx_5,Ly_3),times_times_int(Rx_5,Ry_3))=times_times_int(Rx_5,times_times_int(times_times_int(Lx_5,Ly_3),Ry_3))). % 7.37/7.39 all Lx_4 Ly_2 Rx_4 Ry_2 (times_times_real(times_times_real(Lx_4,Ly_2),times_times_real(Rx_4,Ry_2))=times_times_real(Lx_4,times_times_real(Ly_2,times_times_real(Rx_4,Ry_2)))). % 7.37/7.39 all Lx_4 Ly_2 Rx_4 Ry_2 (times_times_nat(times_times_nat(Lx_4,Ly_2),times_times_nat(Rx_4,Ry_2))=times_times_nat(Lx_4,times_times_nat(Ly_2,times_times_nat(Rx_4,Ry_2)))). % 7.37/7.39 all Lx_4 Ly_2 Rx_4 Ry_2 (times_times_int(times_times_int(Lx_4,Ly_2),times_times_int(Rx_4,Ry_2))=times_times_int(Lx_4,times_times_int(Ly_2,times_times_int(Rx_4,Ry_2)))). % 7.37/7.39 all Lx_3 Ly_1 Rx_3 (times_times_real(times_times_real(Lx_3,Ly_1),Rx_3)=times_times_real(times_times_real(Lx_3,Rx_3),Ly_1)). % 7.37/7.39 all Lx_3 Ly_1 Rx_3 (times_times_nat(times_times_nat(Lx_3,Ly_1),Rx_3)=times_times_nat(times_times_nat(Lx_3,Rx_3),Ly_1)). % 7.37/7.39 all Lx_3 Ly_1 Rx_3 (times_times_int(times_times_int(Lx_3,Ly_1),Rx_3)=times_times_int(times_times_int(Lx_3,Rx_3),Ly_1)). % 7.37/7.39 all Lx_2 Ly Rx_2 (times_times_real(times_times_real(Lx_2,Ly),Rx_2)=times_times_real(Lx_2,times_times_real(Ly,Rx_2))). % 7.37/7.39 all Lx_2 Ly Rx_2 (times_times_nat(times_times_nat(Lx_2,Ly),Rx_2)=times_times_nat(Lx_2,times_times_nat(Ly,Rx_2))). % 7.37/7.39 all Lx_2 Ly Rx_2 (times_times_int(times_times_int(Lx_2,Ly),Rx_2)=times_times_int(Lx_2,times_times_int(Ly,Rx_2))). % 7.37/7.39 all Lx_1 Rx_1 Ry_1 (times_times_real(Lx_1,times_times_real(Rx_1,Ry_1))=times_times_real(times_times_real(Lx_1,Rx_1),Ry_1)). % 7.37/7.39 all Lx_1 Rx_1 Ry_1 (times_times_nat(Lx_1,times_times_nat(Rx_1,Ry_1))=times_times_nat(times_times_nat(Lx_1,Rx_1),Ry_1)). % 7.37/7.39 all Lx_1 Rx_1 Ry_1 (times_times_int(Lx_1,times_times_int(Rx_1,Ry_1))=times_times_int(times_times_int(Lx_1,Rx_1),Ry_1)). % 7.37/7.39 all Lx Rx Ry (times_times_real(Lx,times_times_real(Rx,Ry))=times_times_real(Rx,times_times_real(Lx,Ry))). % 7.37/7.39 all Lx Rx Ry (times_times_nat(Lx,times_times_nat(Rx,Ry))=times_times_nat(Rx,times_times_nat(Lx,Ry))). % 7.37/7.39 all Lx Rx Ry (times_times_int(Lx,times_times_int(Rx,Ry))=times_times_int(Rx,times_times_int(Lx,Ry))). % 7.37/7.39 all A_47 B_18 (times_times_real(A_47,B_18)=times_times_real(B_18,A_47)). % 7.37/7.39 all A_47 B_18 (times_times_nat(A_47,B_18)=times_times_nat(B_18,A_47)). % 7.37/7.39 all A_47 B_18 (times_times_int(A_47,B_18)=times_times_int(B_18,A_47)). % 7.37/7.39 all A_46 C_12 (plus_plus_real(A_46,C_12)=plus_plus_real(C_12,A_46)). % 7.37/7.39 all A_46 C_12 (plus_plus_nat(A_46,C_12)=plus_plus_nat(C_12,A_46)). % 7.37/7.39 all A_46 C_12 (plus_plus_int(A_46,C_12)=plus_plus_int(C_12,A_46)). % 7.37/7.39 all A_45 C_11 D_6 (plus_plus_real(A_45,plus_plus_real(C_11,D_6))=plus_plus_real(C_11,plus_plus_real(A_45,D_6))). % 7.37/7.39 all A_45 C_11 D_6 (plus_plus_nat(A_45,plus_plus_nat(C_11,D_6))=plus_plus_nat(C_11,plus_plus_nat(A_45,D_6))). % 7.37/7.39 all A_45 C_11 D_6 (plus_plus_int(A_45,plus_plus_int(C_11,D_6))=plus_plus_int(C_11,plus_plus_int(A_45,D_6))). % 7.37/7.39 all A_44 C_10 D_5 (plus_plus_real(A_44,plus_plus_real(C_10,D_5))=plus_plus_real(plus_plus_real(A_44,C_10),D_5)). % 7.37/7.39 all A_44 C_10 D_5 (plus_plus_nat(A_44,plus_plus_nat(C_10,D_5))=plus_plus_nat(plus_plus_nat(A_44,C_10),D_5)). % 7.37/7.39 all A_44 C_10 D_5 (plus_plus_int(A_44,plus_plus_int(C_10,D_5))=plus_plus_int(plus_plus_int(A_44,C_10),D_5)). % 7.37/7.39 all A_43 B_17 C_9 (plus_plus_real(plus_plus_real(A_43,B_17),C_9)=plus_plus_real(A_43,plus_plus_real(B_17,C_9))). % 7.37/7.39 all A_43 B_17 C_9 (plus_plus_nat(plus_plus_nat(A_43,B_17),C_9)=plus_plus_nat(A_43,plus_plus_nat(B_17,C_9))). % 7.37/7.39 all A_43 B_17 C_9 (plus_plus_int(plus_plus_int(A_43,B_17),C_9)=plus_plus_int(A_43,plus_plus_int(B_17,C_9))). % 7.37/7.39 all A_42 B_16 C_8 (plus_plus_real(plus_plus_real(A_42,B_16),C_8)=plus_plus_real(plus_plus_real(A_42,C_8),B_16)). % 7.37/7.39 all A_42 B_16 C_8 (plus_plus_nat(plus_plus_nat(A_42,B_16),C_8)=plus_plus_nat(plus_plus_nat(A_42,C_8),B_16)). % 7.37/7.39 all A_42 B_16 C_8 (plus_plus_int(plus_plus_int(A_42,B_16),C_8)=plus_plus_int(plus_plus_int(A_42,C_8),B_16)). % 7.37/7.39 all A_41 B_15 C_7 D_4 (plus_plus_real(plus_plus_real(A_41,B_15),plus_plus_real(C_7,D_4))=plus_plus_real(plus_plus_real(A_41,C_7),plus_plus_real(B_15,D_4))). % 7.37/7.39 all A_41 B_15 C_7 D_4 (plus_plus_nat(plus_plus_nat(A_41,B_15),plus_plus_nat(C_7,D_4))=plus_plus_nat(plus_plus_nat(A_41,C_7),plus_plus_nat(B_15,D_4))). % 7.37/7.39 all A_41 B_15 C_7 D_4 (plus_plus_int(plus_plus_int(A_41,B_15),plus_plus_int(C_7,D_4))=plus_plus_int(plus_plus_int(A_41,C_7),plus_plus_int(B_15,D_4))). % 7.37/7.39 all X_15 (power_power_real(X_15,one_one_nat)=X_15). % 7.37/7.39 all X_15 (power_power_nat(X_15,one_one_nat)=X_15). % 7.37/7.39 all X_15 (is_int(X_15)->power_power_int(X_15,one_one_nat)=X_15). % 7.37/7.39 all X_2 W_1 (ord_less_nat(zero_zero_nat,power_power_nat(X_2,number_number_of_nat(W_1)))<->number_number_of_nat(W_1)=zero_zero_nat|ord_less_nat(zero_zero_nat,X_2)). % 7.37/7.39 all Z (times_times_nat(Z,number_number_of_nat(bit0(bit1(pls))))=plus_plus_nat(Z,Z)). % 7.37/7.39 all Z (times_times_nat(number_number_of_nat(bit0(bit1(pls))),Z)=plus_plus_nat(Z,Z)). % 7.37/7.39 all V_5 V_4 ((ord_less_int(V_4,pls)->times_times_nat(number_number_of_nat(V_4),number_number_of_nat(V_5))=zero_zero_nat)& (-ord_less_int(V_4,pls)->times_times_nat(number_number_of_nat(V_4),number_number_of_nat(V_5))=number_number_of_nat(times_times_int(V_4,V_5)))). % 7.37/7.39 all V_5 K_1 V_4 ((ord_less_int(V_4,pls)->times_times_nat(number_number_of_nat(V_4),times_times_nat(number_number_of_nat(V_5),K_1))=zero_zero_nat)& (-ord_less_int(V_4,pls)->times_times_nat(number_number_of_nat(V_4),times_times_nat(number_number_of_nat(V_5),K_1))=times_times_nat(number_number_of_nat(times_times_int(V_4,V_5)),K_1))). % 7.37/7.39 all A_40 N_33 (power_power_real(A_40,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_33))=power_power_real(power_power_real(A_40,N_33),number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.39 all A_40 N_33 (power_power_nat(A_40,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_33))=power_power_nat(power_power_nat(A_40,N_33),number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.39 all A_40 N_33 (power_power_int(A_40,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_33))=power_power_int(power_power_int(A_40,N_33),number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.39 all A_39 K_3 (ord_less_e_q_real(power_power_real(A_39,times_times_nat(number_number_of_nat(bit0(bit1(pls))),K_3)),zero_zero_real)->A_39=zero_zero_real). % 7.37/7.39 all A_39 K_3 (is_int(A_39)-> (ord_less_e_q_int(power_power_int(A_39,times_times_nat(number_number_of_nat(bit0(bit1(pls))),K_3)),zero_zero_int)->A_39=zero_zero_int)). % 7.37/7.39 all A_38 (times_times_real(zero_zero_real,A_38)=zero_zero_real). % 7.37/7.39 all A_38 (times_times_nat(zero_zero_nat,A_38)=zero_zero_nat). % 7.37/7.39 all A_38 (times_times_int(zero_zero_int,A_38)=zero_zero_int). % 7.37/7.39 all A_37 (times_times_real(A_37,zero_zero_real)=zero_zero_real). % 7.37/7.39 all A_37 (times_times_nat(A_37,zero_zero_nat)=zero_zero_nat). % 7.37/7.39 all A_37 (times_times_int(A_37,zero_zero_int)=zero_zero_int). % 7.37/7.39 all A_36 (plus_plus_real(zero_zero_real,A_36)=A_36). % 7.37/7.39 all A_36 (plus_plus_nat(zero_zero_nat,A_36)=A_36). % 7.37/7.39 all A_36 (is_int(A_36)->plus_plus_int(zero_zero_int,A_36)=A_36). % 7.37/7.39 all A_35 (plus_plus_real(A_35,zero_zero_real)=A_35). % 7.37/7.39 all A_35 (plus_plus_nat(A_35,zero_zero_nat)=A_35). % 7.37/7.39 all A_35 (is_int(A_35)->plus_plus_int(A_35,zero_zero_int)=A_35). % 7.37/7.39 all B_1 A_13 (B_1=plus_plus_real(B_1,A_13)<->A_13=zero_zero_real). % 7.37/7.39 all B_1 A_13 (B_1=plus_plus_nat(B_1,A_13)<->A_13=zero_zero_nat). % 7.37/7.39 all B_1 A_13 (is_int(B_1)&is_int(A_13)-> (B_1=plus_plus_int(B_1,A_13)<->A_13=zero_zero_int)). % 7.37/7.39 all X_14 Y_9 Z_2 (times_times_real(X_14,plus_plus_real(Y_9,Z_2))=plus_plus_real(times_times_real(X_14,Y_9),times_times_real(X_14,Z_2))). % 7.37/7.39 all X_14 Y_9 Z_2 (times_times_nat(X_14,plus_plus_nat(Y_9,Z_2))=plus_plus_nat(times_times_nat(X_14,Y_9),times_times_nat(X_14,Z_2))). % 7.37/7.39 all X_14 Y_9 Z_2 (times_times_int(X_14,plus_plus_int(Y_9,Z_2))=plus_plus_int(times_times_int(X_14,Y_9),times_times_int(X_14,Z_2))). % 7.37/7.39 all C_1 D_2 A_13 B_1 (A_13!=B_1&C_1!=D_2<->plus_plus_real(times_times_real(A_13,C_1),times_times_real(B_1,D_2))!=plus_plus_real(times_times_real(A_13,D_2),times_times_real(B_1,C_1))). % 7.37/7.39 all C_1 D_2 A_13 B_1 (A_13!=B_1&C_1!=D_2<->plus_plus_nat(times_times_nat(A_13,C_1),times_times_nat(B_1,D_2))!=plus_plus_nat(times_times_nat(A_13,D_2),times_times_nat(B_1,C_1))). % 7.37/7.39 all C_1 D_2 A_13 B_1 (is_int(C_1)&is_int(D_2)&is_int(A_13)&is_int(B_1)-> (A_13!=B_1&C_1!=D_2<->plus_plus_int(times_times_int(A_13,C_1),times_times_int(B_1,D_2))!=plus_plus_int(times_times_int(A_13,D_2),times_times_int(B_1,C_1)))). % 7.37/7.39 all A_34 B_14 C_6 (times_times_real(plus_plus_real(A_34,B_14),C_6)=plus_plus_real(times_times_real(A_34,C_6),times_times_real(B_14,C_6))). % 7.37/7.39 all A_34 B_14 C_6 (times_times_nat(plus_plus_nat(A_34,B_14),C_6)=plus_plus_nat(times_times_nat(A_34,C_6),times_times_nat(B_14,C_6))). % 7.37/7.39 all A_34 B_14 C_6 (times_times_int(plus_plus_int(A_34,B_14),C_6)=plus_plus_int(times_times_int(A_34,C_6),times_times_int(B_14,C_6))). % 7.37/7.39 all A_33 M_12 B_13 (plus_plus_real(times_times_real(A_33,M_12),times_times_real(B_13,M_12))=times_times_real(plus_plus_real(A_33,B_13),M_12)). % 7.37/7.39 all A_33 M_12 B_13 (plus_plus_nat(times_times_nat(A_33,M_12),times_times_nat(B_13,M_12))=times_times_nat(plus_plus_nat(A_33,B_13),M_12)). % 7.37/7.39 all A_33 M_12 B_13 (plus_plus_int(times_times_int(A_33,M_12),times_times_int(B_13,M_12))=times_times_int(plus_plus_int(A_33,B_13),M_12)). % 7.37/7.39 all W_1 Y_2 X_2 Z_1 (plus_plus_real(times_times_real(W_1,Y_2),times_times_real(X_2,Z_1))=plus_plus_real(times_times_real(W_1,Z_1),times_times_real(X_2,Y_2))<->W_1=X_2|Y_2=Z_1). % 7.37/7.39 all W_1 Y_2 X_2 Z_1 (plus_plus_nat(times_times_nat(W_1,Y_2),times_times_nat(X_2,Z_1))=plus_plus_nat(times_times_nat(W_1,Z_1),times_times_nat(X_2,Y_2))<->W_1=X_2|Y_2=Z_1). % 7.37/7.39 all W_1 Y_2 X_2 Z_1 (is_int(W_1)&is_int(Y_2)&is_int(X_2)&is_int(Z_1)-> (plus_plus_int(times_times_int(W_1,Y_2),times_times_int(X_2,Z_1))=plus_plus_int(times_times_int(W_1,Z_1),times_times_int(X_2,Y_2))<->W_1=X_2|Y_2=Z_1)). % 7.37/7.39 all A_32 (times_times_real(one_one_real,A_32)=A_32). % 7.37/7.39 all A_32 (times_times_nat(one_one_nat,A_32)=A_32). % 7.37/7.39 all A_32 (is_int(A_32)->times_times_int(one_one_int,A_32)=A_32). % 7.37/7.39 all A_31 (times_times_real(A_31,one_one_real)=A_31). % 7.37/7.39 all A_31 (times_times_nat(A_31,one_one_nat)=A_31). % 7.37/7.39 all A_31 (is_int(A_31)->times_times_int(A_31,one_one_int)=A_31). % 7.37/7.39 all X_13 Y_8 Q_3 (power_power_real(times_times_real(X_13,Y_8),Q_3)=times_times_real(power_power_real(X_13,Q_3),power_power_real(Y_8,Q_3))). % 7.37/7.39 all X_13 Y_8 Q_3 (power_power_nat(times_times_nat(X_13,Y_8),Q_3)=times_times_nat(power_power_nat(X_13,Q_3),power_power_nat(Y_8,Q_3))). % 7.37/7.39 all X_13 Y_8 Q_3 (power_power_int(times_times_int(X_13,Y_8),Q_3)=times_times_int(power_power_int(X_13,Q_3),power_power_int(Y_8,Q_3))). % 7.37/7.39 all X_12 P_2 Q_2 (times_times_real(power_power_real(X_12,P_2),power_power_real(X_12,Q_2))=power_power_real(X_12,plus_plus_nat(P_2,Q_2))). % 7.37/7.39 all X_12 P_2 Q_2 (times_times_nat(power_power_nat(X_12,P_2),power_power_nat(X_12,Q_2))=power_power_nat(X_12,plus_plus_nat(P_2,Q_2))). % 7.37/7.39 all X_12 P_2 Q_2 (times_times_int(power_power_int(X_12,P_2),power_power_int(X_12,Q_2))=power_power_int(X_12,plus_plus_nat(P_2,Q_2))). % 7.37/7.39 all X_11 (power_power_real(X_11,zero_zero_nat)=one_one_real). % 7.37/7.39 all X_11 (power_power_nat(X_11,zero_zero_nat)=one_one_nat). % 7.37/7.39 all X_11 (power_power_int(X_11,zero_zero_nat)=one_one_int). % 7.37/7.39 ord_less_e_q_int(zero_zero_int,zero_zero_int). % 7.37/7.39 all A_30 N_32 ord_less_e_q_real(zero_zero_real,power_power_real(A_30,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_32))). % 7.37/7.39 all A_30 N_32 ord_less_e_q_int(zero_zero_int,power_power_int(A_30,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_32))). % 7.37/7.39 all C_5 D_3 A_29 B_12 R_2 (R_2!=zero_zero_real-> (A_29=B_12&C_5!=D_3->plus_plus_real(A_29,times_times_real(R_2,C_5))!=plus_plus_real(B_12,times_times_real(R_2,D_3)))). % 7.37/7.39 all C_5 D_3 A_29 B_12 R_2 (R_2!=zero_zero_nat-> (A_29=B_12&C_5!=D_3->plus_plus_nat(A_29,times_times_nat(R_2,C_5))!=plus_plus_nat(B_12,times_times_nat(R_2,D_3)))). % 7.37/7.39 all C_5 D_3 A_29 B_12 R_2 (is_int(C_5)&is_int(D_3)&is_int(R_2)-> (R_2!=zero_zero_int-> (A_29=B_12&C_5!=D_3->plus_plus_int(A_29,times_times_int(R_2,C_5))!=plus_plus_int(B_12,times_times_int(R_2,D_3))))). % 7.37/7.39 all M_11 (plus_plus_real(M_11,M_11)=times_times_real(plus_plus_real(one_one_real,one_one_real),M_11)). % 7.37/7.39 all M_11 (plus_plus_nat(M_11,M_11)=times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),M_11)). % 7.37/7.39 all M_11 (plus_plus_int(M_11,M_11)=times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)). % 7.37/7.39 all M_10 A_28 (plus_plus_real(M_10,times_times_real(A_28,M_10))=times_times_real(plus_plus_real(A_28,one_one_real),M_10)). % 7.37/7.39 all M_10 A_28 (plus_plus_nat(M_10,times_times_nat(A_28,M_10))=times_times_nat(plus_plus_nat(A_28,one_one_nat),M_10)). % 7.37/7.39 all M_10 A_28 (plus_plus_int(M_10,times_times_int(A_28,M_10))=times_times_int(plus_plus_int(A_28,one_one_int),M_10)). % 7.37/7.39 all A_27 M_9 (plus_plus_real(times_times_real(A_27,M_9),M_9)=times_times_real(plus_plus_real(A_27,one_one_real),M_9)). % 7.37/7.39 all A_27 M_9 (plus_plus_nat(times_times_nat(A_27,M_9),M_9)=times_times_nat(plus_plus_nat(A_27,one_one_nat),M_9)). % 7.37/7.39 all A_27 M_9 (plus_plus_int(times_times_int(A_27,M_9),M_9)=times_times_int(plus_plus_int(A_27,one_one_int),M_9)). % 7.37/7.39 all A_13 W_1 (power_power_real(A_13,number_number_of_nat(W_1))=zero_zero_real<->A_13=zero_zero_real&number_number_of_nat(W_1)!=zero_zero_nat). % 7.37/7.39 all A_13 W_1 (power_power_nat(A_13,number_number_of_nat(W_1))=zero_zero_nat<->A_13=zero_zero_nat&number_number_of_nat(W_1)!=zero_zero_nat). % 7.37/7.39 all A_13 W_1 (is_int(A_13)-> (power_power_int(A_13,number_number_of_nat(W_1))=zero_zero_int<->A_13=zero_zero_int&number_number_of_nat(W_1)!=zero_zero_nat)). % 7.37/7.39 all B A (ord_less_int(zero_zero_int,A)-> (ord_less_int(zero_zero_int,times_times_int(A,B))->ord_less_int(zero_zero_int,B))). % 7.37/7.39 ord_less_e_q_int(zero_zero_int,one_one_int). % 7.37/7.39 all Y X (ord_less_e_q_int(zero_zero_int,X)-> (ord_less_e_q_int(zero_zero_int,Y)->ord_less_e_q_int(zero_zero_int,times_times_int(X,Y)))). % 7.37/7.39 all Y X (ord_less_e_q_int(zero_zero_int,X)-> (ord_less_e_q_int(zero_zero_int,Y)->ord_less_e_q_int(zero_zero_int,plus_plus_int(X,Y)))). % 7.37/7.39 all N X (ord_less_e_q_int(zero_zero_int,X)->ord_less_e_q_int(zero_zero_int,power_power_int(X,N))). % 7.37/7.39 all W_4 ((number_number_of_nat(W_4)=zero_zero_nat->power_power_real(zero_zero_real,number_number_of_nat(W_4))=one_one_real)& (number_number_of_nat(W_4)!=zero_zero_nat->power_power_real(zero_zero_real,number_number_of_nat(W_4))=zero_zero_real)). % 7.37/7.39 all W_4 ((number_number_of_nat(W_4)=zero_zero_nat->power_power_nat(zero_zero_nat,number_number_of_nat(W_4))=one_one_nat)& (number_number_of_nat(W_4)!=zero_zero_nat->power_power_nat(zero_zero_nat,number_number_of_nat(W_4))=zero_zero_nat)). % 7.37/7.39 all W_4 ((number_number_of_nat(W_4)=zero_zero_nat->power_power_int(zero_zero_int,number_number_of_nat(W_4))=one_one_int)& (number_number_of_nat(W_4)!=zero_zero_nat->power_power_int(zero_zero_int,number_number_of_nat(W_4))=zero_zero_int)). % 7.37/7.39 ord_less_e_q_int(zero_zero_int,number_number_of_int(bit1(bit1(pls)))). % 7.37/7.39 all B_11 Q_1 R_1 (ord_less_e_q_int(zero_zero_int,plus_plus_int(times_times_int(B_11,Q_1),R_1))-> (ord_less_int(R_1,B_11)-> (ord_less_int(zero_zero_int,B_11)->ord_less_e_q_int(zero_zero_int,Q_1)))). % 7.37/7.39 all B_11 Q_1 R_1 (ord_less_int(plus_plus_int(times_times_int(B_11,Q_1),R_1),zero_zero_int)-> (ord_less_e_q_int(zero_zero_int,R_1)-> (ord_less_int(zero_zero_int,B_11)->ord_less_e_q_int(Q_1,zero_zero_int)))). % 7.37/7.39 all B Q_1 R_1 Q R (ord_less_e_q_int(plus_plus_int(times_times_int(B,Q_1),R_1),plus_plus_int(times_times_int(B,Q),R))-> (ord_less_e_q_int(zero_zero_int,R_1)-> (ord_less_int(R_1,B)-> (ord_less_int(R,B)->ord_less_e_q_int(Q_1,Q))))). % 7.37/7.39 all B Q R B_11 Q_1 R_1 (plus_plus_int(times_times_int(B,Q),R)=plus_plus_int(times_times_int(B_11,Q_1),R_1)-> (ord_less_e_q_int(zero_zero_int,plus_plus_int(times_times_int(B_11,Q_1),R_1))-> (ord_less_int(R_1,B_11)-> (ord_less_e_q_int(zero_zero_int,R)-> (ord_less_int(zero_zero_int,B_11)-> (ord_less_e_q_int(B_11,B)->ord_less_e_q_int(Q,Q_1))))))). % 7.37/7.39 all B Q_1 R_1 Q R (ord_less_e_q_int(plus_plus_int(times_times_int(B,Q_1),R_1),plus_plus_int(times_times_int(B,Q),R))-> (ord_less_e_q_int(R,zero_zero_int)-> (ord_less_int(B,R)-> (ord_less_int(B,R_1)->ord_less_e_q_int(Q,Q_1))))). % 7.37/7.39 all B Q R B_11 Q_1 R_1 (plus_plus_int(times_times_int(B,Q),R)=plus_plus_int(times_times_int(B_11,Q_1),R_1)-> (ord_less_int(plus_plus_int(times_times_int(B_11,Q_1),R_1),zero_zero_int)-> (ord_less_int(R,B)-> (ord_less_e_q_int(zero_zero_int,R_1)-> (ord_less_int(zero_zero_int,B_11)-> (ord_less_e_q_int(B_11,B)->ord_less_e_q_int(Q_1,Q))))))). % 7.37/7.39 all X (power_power_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),number_number_of_nat(bit0(bit1(pls))))=power_power_int(X,number_number_of_nat(bit0(bit0(bit1(pls)))))). % 7.37/7.39 all X_10 (times_times_real(X_10,X_10)=power_power_real(X_10,number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.39 all X_10 (times_times_nat(X_10,X_10)=power_power_nat(X_10,number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.39 all X_10 (times_times_int(X_10,X_10)=power_power_int(X_10,number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.39 zcong(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.39 all Y X P (-zcong(X,zero_zero_int,P)-> (zcong(power_power_int(Y,number_number_of_nat(bit0(bit1(pls)))),X,P)-> -dvd_dvd_int(P,Y))). % 7.37/7.39 all P_1 (is_int(P_1)-> (zprime(P_1)<->ord_less_int(one_one_int,P_1)& (all M_8 (is_int(M_8)-> (ord_less_e_q_int(zero_zero_int,M_8)&dvd_dvd_int(M_8,P_1)->M_8=one_one_int|M_8=P_1))))). % 7.37/7.39 all P (is_int(P)-> (zprime(P)-> (P!=number_number_of_int(bit0(bit1(pls)))-> (P!=number_number_of_int(bit1(bit1(pls)))->ord_less_e_q_int(number_number_of_int(bit1(bit0(bit1(pls)))),P))))). % 7.37/7.39 ord_less_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls)))). % 7.37/7.39 -(all S1 (is_int(S1)-> -zcong(power_power_int(S1,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)))). % 7.37/7.39 legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))=one_one_int. % 7.37/7.39 bit1(min)=min. % 7.37/7.39 all L_1 (is_int(L_1)-> (min=bit1(L_1)<->min=L_1)). % 7.37/7.39 all K (is_int(K)-> (bit1(K)=min<->K=min)). % 7.37/7.39 min!=pls. % 7.37/7.39 pls!=min. % 7.37/7.39 all L (min!=bit0(L)). % 7.37/7.39 all K_1 (bit0(K_1)!=min). % 7.37/7.39 -ord_less_int(min,min). % 7.37/7.39 ord_less_e_q_int(min,min). % 7.37/7.39 all K (ord_less_int(bit1(K),min)<->ord_less_int(K,min)). % 7.37/7.39 all K (ord_less_int(min,bit1(K))<->ord_less_int(min,K)). % 7.37/7.39 -ord_less_int(pls,min). % 7.37/7.39 ord_less_int(min,pls). % 7.37/7.39 all K (ord_less_int(min,bit0(K))<->ord_less_int(min,K)). % 7.37/7.39 ord_less_int(min,zero_zero_int). % 7.37/7.39 all K (ord_less_e_q_int(min,bit1(K))<->ord_less_e_q_int(min,K)). % 7.37/7.39 all K (ord_less_e_q_int(bit1(K),min)<->ord_less_e_q_int(K,min)). % 7.37/7.39 ord_less_e_q_int(min,pls). % 7.37/7.39 -ord_less_e_q_int(pls,min). % 7.37/7.39 all K (ord_less_e_q_int(bit0(K),min)<->ord_less_e_q_int(K,min)). % 7.37/7.39 number_number_of_int(pls)!=number_number_of_int(min). % 7.37/7.39 all K (ord_less_int(bit0(K),min)<->ord_less_e_q_int(K,min)). % 7.37/7.39 all K (ord_less_e_q_int(min,bit0(K))<->ord_less_int(min,K)). % 7.37/7.39 all Ma N_1 (is_int(Ma)&is_int(N_1)-> (times_times_int(Ma,N_1)=one_one_int<->Ma=one_one_int&N_1=one_one_int|Ma=number_number_of_int(min)&N_1=number_number_of_int(min))). % 7.37/7.39 all M N (is_int(M)-> (times_times_int(M,N)=one_one_int->M=one_one_int|M=number_number_of_int(min))). % 7.37/7.39 all A_13 B_1 Ma (zcong(A_13,B_1,Ma)<->zcong(B_1,A_13,Ma)). % 7.37/7.39 all K_1 M zcong(K_1,K_1,M). % 7.37/7.39 all C A B M (zcong(A,B,M)-> (zcong(B,C,M)->zcong(A,C,M))). % 7.37/7.39 all X_9 Y_7 (ord_less_e_q_real(X_9,Y_7)-> (X_9!=Y_7->ord_less_real(X_9,Y_7))). % 7.37/7.39 all X_9 Y_7 (ord_less_e_q_nat(X_9,Y_7)-> (X_9!=Y_7->ord_less_nat(X_9,Y_7))). % 7.37/7.39 all X_9 Y_7 (is_int(X_9)&is_int(Y_7)-> (ord_less_e_q_int(X_9,Y_7)-> (X_9!=Y_7->ord_less_int(X_9,Y_7)))). % 7.37/7.39 all B A C (ord_less_int(A,C)-> (ord_less_int(B,C)->ord_less_e_q_int(A,B)|ord_less_e_q_int(B,A))). % 7.37/7.39 all A_13 B_1 (is_int(A_13)&is_int(B_1)-> (zcong(A_13,B_1,zero_zero_int)<->A_13=B_1)). % 7.37/7.39 all A B zcong(A,B,one_one_int). % 7.37/7.39 all A M B zcong(times_times_int(A,M),times_times_int(B,M),M). % 7.37/7.39 all K_1 A B M (zcong(A,B,M)->zcong(times_times_int(A,K_1),times_times_int(B,K_1),M)). % 7.37/7.39 all K_1 A B M (zcong(A,B,M)->zcong(times_times_int(K_1,A),times_times_int(K_1,B),M)). % 7.37/7.39 all C D A B M (zcong(A,B,M)-> (zcong(C,D,M)->zcong(times_times_int(A,C),times_times_int(B,D),M))). % 7.37/7.39 all C D A B M (zcong(A,B,M)-> (zcong(C,D,M)->zcong(plus_plus_int(A,C),plus_plus_int(B,D),M))). % 7.37/7.39 all N_31 (power_power_real(number267125858f_real(min),times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_31))=one_one_real). % 7.37/7.39 all N_31 (power_power_int(number_number_of_int(min),times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_31))=one_one_int). % 7.37/7.39 all B M A (ord_less_int(zero_zero_int,A)-> (ord_less_int(A,M)-> (ord_less_int(zero_zero_int,B)-> (ord_less_int(B,A)-> -zcong(A,B,M))))). % 7.37/7.39 all A_13 B_1 Ma (is_int(B_1)-> (zcong(A_13,B_1,Ma)<-> (exists K_2 (is_int(K_2)&B_1=plus_plus_int(A_13,times_times_int(Ma,K_2)))))). % 7.37/7.39 all X (times_times_real(number267125858f_real(bit0(bit0(bit1(pls)))),power_power_real(X,number_number_of_nat(bit0(bit1(pls)))))=power_power_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X),number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.39 all M A (is_int(A)-> (ord_less_e_q_int(zero_zero_int,A)-> (ord_less_int(A,M)-> (zcong(A,zero_zero_int,M)->A=zero_zero_int)))). % 7.37/7.39 all B M A (is_int(B)&is_int(A)-> (ord_less_e_q_int(zero_zero_int,A)-> (ord_less_int(A,M)-> (ord_less_e_q_int(zero_zero_int,B)-> (ord_less_int(B,M)-> (zcong(A,B,M)->A=B)))))). % 7.37/7.39 all Z X Y P (zcong(power_power_int(X,Y),one_one_int,P)->zcong(power_power_int(X,times_times_nat(Y,Z)),one_one_int,P)). % 7.37/7.39 all N P M (ord_less_e_q_int(zero_zero_int,M)-> (zprime(P)-> (dvd_dvd_int(P,times_times_int(M,N))->dvd_dvd_int(P,M)|dvd_dvd_int(P,N)))). % 7.37/7.39 quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),number_number_of_int(min)). % 7.37/7.39 dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),minus_minus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min))). % 7.37/7.39 all J K_1 M (ord_less_int(number_number_of_int(bit0(bit1(pls))),M)-> (zcong(power_power_int(number_number_of_int(min),J),power_power_int(number_number_of_int(min),K_1),M)->power_power_int(number_number_of_int(min),J)=power_power_int(number_number_of_int(min),K_1))). % 7.37/7.39 all X P (ord_less_int(number_number_of_int(bit0(bit1(pls))),P)-> (zcong(X,number_number_of_int(min),P)-> -zcong(X,one_one_int,P))). % 7.37/7.39 minus_minus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min))=plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int). % 7.37/7.39 -quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),number_number_of_int(min))->legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))!=one_one_int. % 7.37/7.39 all X_2 (-ord_less_real(zero_zero_real,times_times_real(X_2,X_2))<->X_2=zero_zero_real). % 7.37/7.39 all C D A B M (zcong(A,B,M)-> (zcong(C,D,M)->zcong(minus_minus_int(A,C),minus_minus_int(B,D),M))). % 7.37/7.39 all K_1 M N (dvd_dvd_int(K_1,minus_minus_int(M,N))-> (dvd_dvd_int(K_1,N)->dvd_dvd_int(K_1,M))). % 7.37/7.39 all W Z1 Z2 (times_times_int(W,minus_minus_int(Z1,Z2))=minus_minus_int(times_times_int(W,Z1),times_times_int(W,Z2))). % 7.37/7.39 all Z1 Z2 W (times_times_int(minus_minus_int(Z1,Z2),W)=minus_minus_int(times_times_int(Z1,W),times_times_int(Z2,W))). % 7.37/7.39 all K_1 L (minus_minus_int(bit0(K_1),bit0(L))=bit0(minus_minus_int(K_1,L))). % 7.37/7.39 all K_1 (is_int(K_1)->minus_minus_int(K_1,pls)=K_1). % 7.37/7.39 all A B C (is_int(A)-> (minus_minus_int(A,B)=C->A=plus_plus_int(C,B))). % 7.37/7.39 all V_3 W_3 (number267125858f_real(minus_minus_int(V_3,W_3))=minus_minus_real(number267125858f_real(V_3),number267125858f_real(W_3))). % 7.37/7.39 all V_3 W_3 (number_number_of_int(minus_minus_int(V_3,W_3))=minus_minus_int(number_number_of_int(V_3),number_number_of_int(W_3))). % 7.37/7.39 all V_2 B_10 C_4 (times_times_real(number267125858f_real(V_2),minus_minus_real(B_10,C_4))=minus_minus_real(times_times_real(number267125858f_real(V_2),B_10),times_times_real(number267125858f_real(V_2),C_4))). % 7.37/7.39 all V_2 B_10 C_4 (times_times_int(number_number_of_int(V_2),minus_minus_int(B_10,C_4))=minus_minus_int(times_times_int(number_number_of_int(V_2),B_10),times_times_int(number_number_of_int(V_2),C_4))). % 7.37/7.39 all A_26 B_9 V_1 (times_times_real(minus_minus_real(A_26,B_9),number267125858f_real(V_1))=minus_minus_real(times_times_real(A_26,number267125858f_real(V_1)),times_times_real(B_9,number267125858f_real(V_1)))). % 7.37/7.39 all A_26 B_9 V_1 (times_times_int(minus_minus_int(A_26,B_9),number_number_of_int(V_1))=minus_minus_int(times_times_int(A_26,number_number_of_int(V_1)),times_times_int(B_9,number_number_of_int(V_1)))). % 7.37/7.39 all K_1 L (minus_minus_int(bit1(K_1),bit0(L))=bit1(minus_minus_int(K_1,L))). % 7.37/7.39 all K_1 L (minus_minus_int(bit1(K_1),bit1(L))=bit0(minus_minus_int(K_1,L))). % 7.37/7.39 all L (minus_minus_int(pls,bit0(L))=bit0(minus_minus_int(pls,L))). % 7.37/7.39 all K L_1 (ord_less_int(K,L_1)<->ord_less_int(minus_minus_int(K,L_1),zero_zero_int)). % 7.37/7.39 all A R B M C D N (plus_plus_int(times_times_int(minus_minus_int(A,times_times_int(R,B)),M),times_times_int(minus_minus_int(C,times_times_int(R,D)),N))=minus_minus_int(plus_plus_int(times_times_int(A,M),times_times_int(C,N)),times_times_int(R,plus_plus_int(times_times_int(B,M),times_times_int(D,N))))). % 7.37/7.39 all A_13 B_1 Ma (zcong(A_13,B_1,Ma)<->dvd_dvd_int(Ma,minus_minus_int(A_13,B_1))). % 7.37/7.39 all V W_2 C_3 (plus_plus_real(number267125858f_real(V),minus_minus_real(number267125858f_real(W_2),C_3))=minus_minus_real(number267125858f_real(plus_plus_int(V,W_2)),C_3)). % 7.37/7.39 all V W_2 C_3 (plus_plus_int(number_number_of_int(V),minus_minus_int(number_number_of_int(W_2),C_3))=minus_minus_int(number_number_of_int(plus_plus_int(V,W_2)),C_3)). % 7.37/7.39 all A X (is_int(X)-> (ord_less_int(zero_zero_int,X)-> (ord_less_int(X,A)-> (X!=minus_minus_int(A,one_one_int)->ord_less_int(X,minus_minus_int(A,one_one_int)))))). % 7.37/7.39 all W_1 Z_1 (ord_less_e_q_int(W_1,minus_minus_int(Z_1,one_one_int))<->ord_less_int(W_1,Z_1)). % 7.37/7.39 all L (minus_minus_int(pls,bit1(L))=bit1(minus_minus_int(min,L))). % 7.37/7.39 all L (minus_minus_int(min,bit1(L))=bit0(minus_minus_int(min,L))). % 7.37/7.39 all L (minus_minus_int(min,bit0(L))=bit1(minus_minus_int(min,L))). % 7.37/7.39 all A_13 P_1 (zcong(times_times_int(A_13,minus_minus_int(P_1,one_one_int)),one_one_int,P_1)<->zcong(A_13,minus_minus_int(P_1,one_one_int),P_1)). % 7.37/7.39 all D C A B M (zcong(A,B,M)-> (B=C-> (zcong(C,D,M)->zcong(A,D,M)))). % 7.37/7.39 all A P (is_int(A)-> (zprime(P)-> (ord_less_int(zero_zero_int,A)-> (ord_less_int(A,P)-> (zcong(times_times_int(A,A),one_one_int,P)->A=one_one_int|A=minus_minus_int(P,one_one_int)))))). % 7.37/7.39 all A P (zprime(P)-> (ord_less_int(zero_zero_int,A)-> (zcong(times_times_int(A,A),one_one_int,P)->zcong(A,one_one_int,P)|zcong(A,minus_minus_int(P,one_one_int),P)))). % 7.37/7.39 all A B (times_times_int(plus_plus_int(A,B),minus_minus_int(A,B))=minus_minus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls)))))). % 7.37/7.39 all M zcong(M,zero_zero_int,M). % 7.37/7.39 all C_1 D_2 A_13 B_1 Ma (zcong(A_13,B_1,Ma)-> (zcong(C_1,times_times_int(D_2,A_13),Ma)<->zcong(C_1,times_times_int(D_2,B_1),Ma))). % 7.37/7.39 all C_1 D_2 A_13 B_1 Ma (zcong(A_13,B_1,Ma)-> (zcong(C_1,times_times_int(A_13,D_2),Ma)<->zcong(C_1,times_times_int(B_1,D_2),Ma))). % 7.37/7.39 all C A B M (zcong(A,B,M)->zcong(plus_plus_int(A,C),plus_plus_int(B,C),M)). % 7.37/7.39 all Z X Y M (zcong(X,Y,M)->zcong(power_power_int(X,Z),power_power_int(Y,Z),M)). % 7.37/7.39 all X_8 Y_6 (power_power_real(minus_minus_real(X_8,Y_6),number_number_of_nat(bit0(bit1(pls))))=minus_minus_real(plus_plus_real(power_power_real(X_8,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_6,number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X_8),Y_6))). % 7.37/7.39 all X_8 Y_6 (power_power_int(minus_minus_int(X_8,Y_6),number_number_of_nat(bit0(bit1(pls))))=minus_minus_int(plus_plus_int(power_power_int(X_8,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_6,number_number_of_nat(bit0(bit1(pls))))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X_8),Y_6))). % 7.37/7.39 all A B (power_power_int(minus_minus_int(A,B),number_number_of_nat(bit0(bit1(pls))))=plus_plus_int(minus_minus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B)),power_power_int(B,number_number_of_nat(bit0(bit1(pls)))))). % 7.37/7.39 all A B (power_power_int(minus_minus_int(A,B),number_number_of_nat(bit1(bit1(pls))))=minus_minus_int(plus_plus_int(minus_minus_int(power_power_int(A,number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),power_power_int(A,number_number_of_nat(bit0(bit1(pls))))),B)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),A),power_power_int(B,number_number_of_nat(bit0(bit1(pls)))))),power_power_int(B,number_number_of_nat(bit1(bit1(pls)))))). % 7.37/7.39 all M Y X (is_int(Y)&is_int(X)-> (ord_less_int(zero_zero_int,X)-> (ord_less_int(zero_zero_int,Y)-> (ord_less_int(zero_zero_int,M)-> (zcong(X,Y,M)-> (ord_less_int(X,M)-> (ord_less_int(Y,M)->X=Y))))))). % 7.37/7.39 all M X (ord_less_int(zero_zero_int,X)-> (ord_less_int(X,M)-> -zcong(X,zero_zero_int,M))). % 7.37/7.39 all N M (dvd_dvd_int(N,M)->ord_less_e_q_int(M,zero_zero_int)|ord_less_e_q_int(N,M)). % 7.37/7.39 all A_13 Ma (zcong(A_13,zero_zero_int,Ma)<->dvd_dvd_int(Ma,A_13)). % 7.37/7.39 all X_2 P_1 (zcong(X_2,zero_zero_int,P_1)<->dvd_dvd_int(P_1,X_2)). % 7.37/7.39 all M N P (zprime(P)-> (dvd_dvd_int(P,times_times_int(M,N))->dvd_dvd_int(P,M)|dvd_dvd_int(P,N))). % 7.37/7.39 all M X (is_int(X)-> (ord_less_e_q_int(zero_zero_int,X)-> (ord_less_int(X,M)-> (zcong(X,zero_zero_int,M)->X=zero_zero_int)))). % 7.37/7.39 all P Y N (ord_less_nat(zero_zero_nat,N)-> (dvd_dvd_int(P,Y)->dvd_dvd_int(P,power_power_int(Y,N)))). % 7.37/7.39 all N (power_power_int(number_number_of_int(min),N)=one_one_int|power_power_int(number_number_of_int(min),N)=number_number_of_int(min)). % 7.37/7.39 all Y X P (zprime(P)-> (-zcong(X,zero_zero_int,P)-> (-zcong(Y,zero_zero_int,P)-> -zcong(times_times_int(X,Y),zero_zero_int,P)))). % 7.37/7.39 all B A P (zprime(P)-> (ord_less_int(zero_zero_int,A)-> (-zcong(A,zero_zero_int,P)& -zcong(B,zero_zero_int,P)-> -zcong(times_times_int(A,B),zero_zero_int,P)))). % 7.37/7.39 all B A P (zprime(P)-> (ord_less_int(zero_zero_int,A)-> (zcong(times_times_int(A,B),zero_zero_int,P)->zcong(A,zero_zero_int,P)|zcong(B,zero_zero_int,P)))). % 7.37/7.39 all Y N P (zprime(P)-> (dvd_dvd_int(P,power_power_int(Y,N))-> (ord_less_nat(zero_zero_nat,N)->dvd_dvd_int(P,Y)))). % 7.37/7.39 all M (zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),M),one_one_int))->legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),M),one_one_int))=one_one_int). % 7.37/7.39 all M (ord_less_int(number_number_of_int(bit0(bit1(pls))),M)-> -zcong(one_one_int,number_number_of_int(min),M)). % 7.37/7.39 all A P ((zcong(A,zero_zero_int,P)->legendre(A,P)=zero_zero_int)& (-zcong(A,zero_zero_int,P)-> (quadRes(P,A)->legendre(A,P)=one_one_int)& (-quadRes(P,A)->legendre(A,P)=number_number_of_int(min)))). % 7.37/7.39 all Ma X_2 (quadRes(Ma,X_2)<-> (exists Y_1 (is_int(Y_1)&zcong(power_power_int(Y_1,number_number_of_nat(bit0(bit1(pls)))),X_2,Ma)))). % 7.37/7.39 all X Y (power_power_real(plus_plus_real(X,Y),number_number_of_nat(bit0(bit1(pls))))=plus_plus_real(plus_plus_real(power_power_real(X,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y,number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X),Y))). % 7.37/7.39 all N M ((M=zero_zero_nat->times_times_nat(M,N)=zero_zero_nat)& (M!=zero_zero_nat->times_times_nat(M,N)=plus_plus_nat(N,times_times_nat(minus_minus_nat(M,one_one_nat),N)))). % 7.37/7.39 all P M ((M=zero_zero_nat->power_power_nat(P,M)=one_one_nat)& (M!=zero_zero_nat->power_power_nat(P,M)=times_times_nat(P,power_power_nat(P,minus_minus_nat(M,one_one_nat))))). % 7.37/7.39 all X Y (minus_minus_nat(power_power_nat(X,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(Y,number_number_of_nat(bit0(bit1(pls)))))=times_times_nat(plus_plus_nat(X,Y),minus_minus_nat(X,Y))). % 7.37/7.39 all X_2 Y_2 (plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real<->X_2=zero_zero_real&Y_2=zero_zero_real). % 7.37/7.39 zero_zero_real!=one_one_real. % 7.37/7.39 all X_2 Y_2 (ord_less_e_q_real(X_2,Y_2)<->ord_less_e_q_real(minus_minus_real(X_2,Y_2),zero_zero_real)). % 7.37/7.39 all X_2 Y_2 (ord_less_real(X_2,Y_2)<->ord_less_e_q_real(X_2,Y_2)&X_2!=Y_2). % 7.37/7.39 all X_2 Y_2 (ord_less_e_q_real(X_2,Y_2)<->ord_less_real(X_2,Y_2)|X_2=Y_2). % 7.37/7.39 all Z1 Z2 Z3 (times_times_real(times_times_real(Z1,Z2),Z3)=times_times_real(Z1,times_times_real(Z2,Z3))). % 7.37/7.39 all Z W (times_times_real(Z,W)=times_times_real(W,Z)). % 7.37/7.39 all Z (times_times_real(one_one_real,Z)=Z). % 7.37/7.39 all Z X Y (ord_less_e_q_real(X,Y)->ord_less_e_q_real(plus_plus_real(Z,X),plus_plus_real(Z,Y))). % 7.37/7.39 all A_25 C_2 B_8 D_1 (minus_minus_real(plus_plus_real(A_25,C_2),plus_plus_real(B_8,D_1))=plus_plus_real(minus_minus_real(A_25,B_8),minus_minus_real(C_2,D_1))). % 7.37/7.39 all A_25 C_2 B_8 D_1 (minus_minus_int(plus_plus_int(A_25,C_2),plus_plus_int(B_8,D_1))=plus_plus_int(minus_minus_int(A_25,B_8),minus_minus_int(C_2,D_1))). % 7.37/7.39 all A_13 B_1 C_1 (C_1!=zero_zero_real-> (times_times_real(C_1,A_13)=times_times_real(C_1,B_1)<->A_13=B_1)). % 7.37/7.39 all A_13 B_1 C_1 (C_1!=zero_zero_real-> (times_times_real(A_13,C_1)=times_times_real(B_1,C_1)<->A_13=B_1)). % 7.37/7.39 all N_1 Ma (times_times_nat(N_1,Ma)=one_one_nat<->N_1=one_one_nat&Ma=one_one_nat). % 7.37/7.39 all Z1 Z2 W (times_times_real(plus_plus_real(Z1,Z2),W)=plus_plus_real(times_times_real(Z1,W),times_times_real(Z2,W))). % 7.37/7.39 all Ma N_1 (power_power_nat(Ma,N_1)=zero_zero_nat<->N_1!=zero_zero_nat&Ma=zero_zero_nat). % 7.37/7.39 all X_7 Y_5 A_24 B_7 (minus_minus_real(times_times_real(X_7,Y_5),times_times_real(A_24,B_7))=plus_plus_real(times_times_real(X_7,minus_minus_real(Y_5,B_7)),times_times_real(minus_minus_real(X_7,A_24),B_7))). % 7.37/7.39 all X_7 Y_5 A_24 B_7 (minus_minus_int(times_times_int(X_7,Y_5),times_times_int(A_24,B_7))=plus_plus_int(times_times_int(X_7,minus_minus_int(Y_5,B_7)),times_times_int(minus_minus_int(X_7,A_24),B_7))). % 7.37/7.39 all X_2 Y_2 Z_1 (ord_less_real(zero_zero_real,Z_1)-> (ord_less_e_q_real(times_times_real(X_2,Z_1),times_times_real(Y_2,Z_1))<->ord_less_e_q_real(X_2,Y_2))). % 7.37/7.39 all X_2 Y_2 Z_1 (ord_less_real(zero_zero_real,Z_1)-> (ord_less_e_q_real(times_times_real(Z_1,X_2),times_times_real(Z_1,Y_2))<->ord_less_e_q_real(X_2,Y_2))). % 7.37/7.39 all X Y Z (ord_less_real(zero_zero_real,Z)-> (ord_less_real(X,Y)->ord_less_real(times_times_real(Z,X),times_times_real(Z,Y)))). % 7.37/7.39 all Y X (ord_less_real(zero_zero_real,X)-> (ord_less_real(zero_zero_real,Y)->ord_less_real(zero_zero_real,times_times_real(X,Y)))). % 7.37/7.39 all X_2 Y_2 Z_1 (ord_less_real(zero_zero_real,Z_1)-> (ord_less_real(times_times_real(X_2,Z_1),times_times_real(Y_2,Z_1))<->ord_less_real(X_2,Y_2))). % 7.37/7.39 all X_2 Y_2 (plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2))=zero_zero_real<->X_2=zero_zero_real&Y_2=zero_zero_real). % 7.37/7.39 all X_2 N_1 (power_power_nat(X_2,N_1)=one_one_nat<->X_2=one_one_nat|N_1=zero_zero_nat). % 7.37/7.39 all X_6 (minus_minus_real(times_times_real(X_6,X_6),one_one_real)=times_times_real(plus_plus_real(X_6,one_one_real),minus_minus_real(X_6,one_one_real))). % 7.37/7.39 all X_6 (minus_minus_int(times_times_int(X_6,X_6),one_one_int)=times_times_int(plus_plus_int(X_6,one_one_int),minus_minus_int(X_6,one_one_int))). % 7.37/7.39 all X_5 N_30 (ord_less_nat(zero_zero_nat,N_30)->times_times_real(power_power_real(X_5,minus_minus_nat(N_30,one_one_nat)),X_5)=power_power_real(X_5,N_30)). % 7.37/7.39 all X_5 N_30 (ord_less_nat(zero_zero_nat,N_30)->times_times_nat(power_power_nat(X_5,minus_minus_nat(N_30,one_one_nat)),X_5)=power_power_nat(X_5,N_30)). % 7.37/7.39 all X_5 N_30 (ord_less_nat(zero_zero_nat,N_30)->times_times_int(power_power_int(X_5,minus_minus_nat(N_30,one_one_nat)),X_5)=power_power_int(X_5,N_30)). % 7.37/7.39 all N ord_less_e_q_real(one_one_real,power_power_real(number267125858f_real(bit0(bit1(pls))),N)). % 7.37/7.39 all M_7 N_29 ((N_29=zero_zero_nat->power_power_real(M_7,N_29)=one_one_real)& (N_29!=zero_zero_nat->power_power_real(M_7,N_29)=times_times_real(M_7,power_power_real(M_7,minus_minus_nat(N_29,one_one_nat))))). % 7.37/7.39 all M_7 N_29 ((N_29=zero_zero_nat->power_power_nat(M_7,N_29)=one_one_nat)& (N_29!=zero_zero_nat->power_power_nat(M_7,N_29)=times_times_nat(M_7,power_power_nat(M_7,minus_minus_nat(N_29,one_one_nat))))). % 7.37/7.39 all M_7 N_29 ((N_29=zero_zero_nat->power_power_int(M_7,N_29)=one_one_int)& (N_29!=zero_zero_nat->power_power_int(M_7,N_29)=times_times_int(M_7,power_power_int(M_7,minus_minus_nat(N_29,one_one_nat))))). % 7.37/7.39 all N_28 A_23 B_6 (ord_less_real(A_23,B_6)-> (ord_less_e_q_real(zero_zero_real,A_23)-> (ord_less_nat(zero_zero_nat,N_28)->ord_less_real(power_power_real(A_23,N_28),power_power_real(B_6,N_28))))). % 7.37/7.39 all N_28 A_23 B_6 (ord_less_nat(A_23,B_6)-> (ord_less_e_q_nat(zero_zero_nat,A_23)-> (ord_less_nat(zero_zero_nat,N_28)->ord_less_nat(power_power_nat(A_23,N_28),power_power_nat(B_6,N_28))))). % 7.37/7.39 all N_28 A_23 B_6 (ord_less_int(A_23,B_6)-> (ord_less_e_q_int(zero_zero_int,A_23)-> (ord_less_nat(zero_zero_nat,N_28)->ord_less_int(power_power_int(A_23,N_28),power_power_int(B_6,N_28))))). % 7.37/7.39 all W ord_less_e_q_real(W,W). % 7.37/7.39 all Z W (ord_less_e_q_real(Z,W)|ord_less_e_q_real(W,Z)). % 7.37/7.39 all K_1 I J (ord_less_e_q_real(I,J)-> (ord_less_e_q_real(J,K_1)->ord_less_e_q_real(I,K_1))). % 7.37/7.39 all Z W (ord_less_e_q_real(Z,W)-> (ord_less_e_q_real(W,Z)->Z=W)). % 7.37/7.39 all N_27 A_22 (A_22!=zero_zero_real->power_power_real(A_22,N_27)!=zero_zero_real). % 7.37/7.39 all N_27 A_22 (is_int(A_22)-> (A_22!=zero_zero_int->power_power_int(A_22,N_27)!=zero_zero_int)). % 7.37/7.39 all A_21 B_5 N_26 (power_power_real(times_times_real(A_21,B_5),N_26)=times_times_real(power_power_real(A_21,N_26),power_power_real(B_5,N_26))). % 7.37/7.39 all A_21 B_5 N_26 (power_power_nat(times_times_nat(A_21,B_5),N_26)=times_times_nat(power_power_nat(A_21,N_26),power_power_nat(B_5,N_26))). % 7.37/7.39 all A_21 B_5 N_26 (power_power_int(times_times_int(A_21,B_5),N_26)=times_times_int(power_power_int(A_21,N_26),power_power_int(B_5,N_26))). % 7.37/7.39 all A_20 N_25 (times_times_real(power_power_real(A_20,N_25),A_20)=times_times_real(A_20,power_power_real(A_20,N_25))). % 7.37/7.39 all A_20 N_25 (times_times_nat(power_power_nat(A_20,N_25),A_20)=times_times_nat(A_20,power_power_nat(A_20,N_25))). % 7.37/7.39 all A_20 N_25 (times_times_int(power_power_int(A_20,N_25),A_20)=times_times_int(A_20,power_power_int(A_20,N_25))). % 7.37/7.39 all N_24 (power_power_real(one_one_real,N_24)=one_one_real). % 7.37/7.39 all N_24 (power_power_nat(one_one_nat,N_24)=one_one_nat). % 7.37/7.39 all N_24 (power_power_int(one_one_int,N_24)=one_one_int). % 7.37/7.39 all N_23 X_4 Y_4 (dvd_dvd_nat(X_4,Y_4)->dvd_dvd_nat(power_power_nat(X_4,N_23),power_power_nat(Y_4,N_23))). % 7.37/7.39 all N_23 X_4 Y_4 (dvd_dvd_int(X_4,Y_4)->dvd_dvd_int(power_power_int(X_4,N_23),power_power_int(Y_4,N_23))). % 7.37/7.39 all N_23 X_4 Y_4 (dvd_dvd_real(X_4,Y_4)->dvd_dvd_real(power_power_real(X_4,N_23),power_power_real(Y_4,N_23))). % 7.37/7.39 all A_19 M_6 N_22 (power_power_real(A_19,times_times_nat(M_6,N_22))=power_power_real(power_power_real(A_19,M_6),N_22)). % 7.37/7.39 all A_19 M_6 N_22 (power_power_nat(A_19,times_times_nat(M_6,N_22))=power_power_nat(power_power_nat(A_19,M_6),N_22)). % 7.37/7.39 all A_19 M_6 N_22 (power_power_int(A_19,times_times_nat(M_6,N_22))=power_power_int(power_power_int(A_19,M_6),N_22)). % 7.37/7.39 all A_18 (power_power_real(A_18,one_one_nat)=A_18). % 7.37/7.39 all A_18 (power_power_nat(A_18,one_one_nat)=A_18). % 7.37/7.39 all A_18 (is_int(A_18)->power_power_int(A_18,one_one_nat)=A_18). % 7.37/7.39 all N_21 A_17 B_4 (ord_less_e_q_real(A_17,B_4)-> (ord_less_e_q_real(zero_zero_real,A_17)->ord_less_e_q_real(power_power_real(A_17,N_21),power_power_real(B_4,N_21)))). % 7.37/7.39 all N_21 A_17 B_4 (ord_less_e_q_nat(A_17,B_4)-> (ord_less_e_q_nat(zero_zero_nat,A_17)->ord_less_e_q_nat(power_power_nat(A_17,N_21),power_power_nat(B_4,N_21)))). % 7.37/7.39 all N_21 A_17 B_4 (ord_less_e_q_int(A_17,B_4)-> (ord_less_e_q_int(zero_zero_int,A_17)->ord_less_e_q_int(power_power_int(A_17,N_21),power_power_int(B_4,N_21)))). % 7.37/7.39 all N_20 A_16 (ord_less_e_q_real(zero_zero_real,A_16)->ord_less_e_q_real(zero_zero_real,power_power_real(A_16,N_20))). % 7.37/7.39 all N_20 A_16 (ord_less_e_q_nat(zero_zero_nat,A_16)->ord_less_e_q_nat(zero_zero_nat,power_power_nat(A_16,N_20))). % 7.37/7.39 all N_20 A_16 (ord_less_e_q_int(zero_zero_int,A_16)->ord_less_e_q_int(zero_zero_int,power_power_int(A_16,N_20))). % 7.37/7.39 all N_19 A_15 (ord_less_real(zero_zero_real,A_15)->ord_less_real(zero_zero_real,power_power_real(A_15,N_19))). % 7.37/7.39 all N_19 A_15 (ord_less_nat(zero_zero_nat,A_15)->ord_less_nat(zero_zero_nat,power_power_nat(A_15,N_19))). % 7.37/7.39 all N_19 A_15 (ord_less_int(zero_zero_int,A_15)->ord_less_int(zero_zero_int,power_power_int(A_15,N_19))). % 7.37/7.39 all N_18 A_14 (ord_less_e_q_real(one_one_real,A_14)->ord_less_e_q_real(one_one_real,power_power_real(A_14,N_18))). % 7.37/7.39 all N_18 A_14 (ord_less_e_q_nat(one_one_nat,A_14)->ord_less_e_q_nat(one_one_nat,power_power_nat(A_14,N_18))). % 7.37/7.39 all N_18 A_14 (ord_less_e_q_int(one_one_int,A_14)->ord_less_e_q_int(one_one_int,power_power_int(A_14,N_18))). % 7.37/7.39 all Ma N_1 A_13 (ord_less_real(one_one_real,A_13)-> (power_power_real(A_13,Ma)=power_power_real(A_13,N_1)<->Ma=N_1)). % 7.37/7.39 all Ma N_1 A_13 (ord_less_nat(one_one_nat,A_13)-> (power_power_nat(A_13,Ma)=power_power_nat(A_13,N_1)<->Ma=N_1)). % 7.37/7.39 all Ma N_1 A_13 (ord_less_int(one_one_int,A_13)-> (power_power_int(A_13,Ma)=power_power_int(A_13,N_1)<->Ma=N_1)). % 7.37/7.39 all A_13 N_1 (power_power_real(A_13,N_1)=zero_zero_real<->A_13=zero_zero_real&N_1!=zero_zero_nat). % 7.37/7.39 all A_13 N_1 (power_power_nat(A_13,N_1)=zero_zero_nat<->A_13=zero_zero_nat&N_1!=zero_zero_nat). % 7.37/7.39 all A_13 N_1 (is_int(A_13)-> (power_power_int(A_13,N_1)=zero_zero_int<->A_13=zero_zero_int&N_1!=zero_zero_nat)). % 7.37/7.40 all A_12 (power_power_real(A_12,zero_zero_nat)=one_one_real). % 7.37/7.40 all A_12 (power_power_nat(A_12,zero_zero_nat)=one_one_nat). % 7.37/7.40 all A_12 (power_power_int(A_12,zero_zero_nat)=one_one_int). % 7.37/7.40 all A_11 M_5 N_17 (power_power_real(A_11,plus_plus_nat(M_5,N_17))=times_times_real(power_power_real(A_11,M_5),power_power_real(A_11,N_17))). % 7.37/7.40 all A_11 M_5 N_17 (power_power_nat(A_11,plus_plus_nat(M_5,N_17))=times_times_nat(power_power_nat(A_11,M_5),power_power_nat(A_11,N_17))). % 7.37/7.40 all A_11 M_5 N_17 (power_power_int(A_11,plus_plus_nat(M_5,N_17))=times_times_int(power_power_int(A_11,M_5),power_power_int(A_11,N_17))). % 7.37/7.40 all M_4 A_10 N_16 B_3 (dvd_dvd_nat(power_power_nat(A_10,N_16),B_3)-> (ord_less_e_q_nat(M_4,N_16)->dvd_dvd_nat(power_power_nat(A_10,M_4),B_3))). % 7.37/7.40 all M_4 A_10 N_16 B_3 (dvd_dvd_int(power_power_int(A_10,N_16),B_3)-> (ord_less_e_q_nat(M_4,N_16)->dvd_dvd_int(power_power_int(A_10,M_4),B_3))). % 7.37/7.40 all M_4 A_10 N_16 B_3 (dvd_dvd_real(power_power_real(A_10,N_16),B_3)-> (ord_less_e_q_nat(M_4,N_16)->dvd_dvd_real(power_power_real(A_10,M_4),B_3))). % 7.37/7.40 all N_15 M_3 X_3 Y_3 (dvd_dvd_nat(X_3,Y_3)-> (ord_less_e_q_nat(N_15,M_3)->dvd_dvd_nat(power_power_nat(X_3,N_15),power_power_nat(Y_3,M_3)))). % 7.37/7.40 all N_15 M_3 X_3 Y_3 (dvd_dvd_int(X_3,Y_3)-> (ord_less_e_q_nat(N_15,M_3)->dvd_dvd_int(power_power_int(X_3,N_15),power_power_int(Y_3,M_3)))). % 7.37/7.40 all N_15 M_3 X_3 Y_3 (dvd_dvd_real(X_3,Y_3)-> (ord_less_e_q_nat(N_15,M_3)->dvd_dvd_real(power_power_real(X_3,N_15),power_power_real(Y_3,M_3)))). % 7.37/7.40 all A_9 M_2 N_14 (ord_less_e_q_nat(M_2,N_14)->dvd_dvd_nat(power_power_nat(A_9,M_2),power_power_nat(A_9,N_14))). % 7.37/7.40 all A_9 M_2 N_14 (ord_less_e_q_nat(M_2,N_14)->dvd_dvd_int(power_power_int(A_9,M_2),power_power_int(A_9,N_14))). % 7.37/7.40 all A_9 M_2 N_14 (ord_less_e_q_nat(M_2,N_14)->dvd_dvd_real(power_power_real(A_9,M_2),power_power_real(A_9,N_14))). % 7.37/7.40 all M N I (ord_less_nat(zero_zero_nat,I)-> (ord_less_nat(power_power_nat(I,M),power_power_nat(I,N))->ord_less_nat(M,N))). % 7.37/7.40 all X_2 N_1 (ord_less_nat(zero_zero_nat,power_power_nat(X_2,N_1))<->ord_less_nat(zero_zero_nat,X_2)|N_1=zero_zero_nat). % 7.37/7.40 all A_8 N_13 B_2 (ord_less_real(power_power_real(A_8,N_13),power_power_real(B_2,N_13))-> (ord_less_e_q_real(zero_zero_real,B_2)->ord_less_real(A_8,B_2))). % 7.37/7.40 all A_8 N_13 B_2 (ord_less_nat(power_power_nat(A_8,N_13),power_power_nat(B_2,N_13))-> (ord_less_e_q_nat(zero_zero_nat,B_2)->ord_less_nat(A_8,B_2))). % 7.37/7.40 all A_8 N_13 B_2 (ord_less_int(power_power_int(A_8,N_13),power_power_int(B_2,N_13))-> (ord_less_e_q_int(zero_zero_int,B_2)->ord_less_int(A_8,B_2))). % 7.37/7.40 all N_12 A_7 (ord_less_real(one_one_real,A_7)->ord_less_real(power_power_real(A_7,N_12),times_times_real(A_7,power_power_real(A_7,N_12)))). % 7.37/7.40 all N_12 A_7 (ord_less_nat(one_one_nat,A_7)->ord_less_nat(power_power_nat(A_7,N_12),times_times_nat(A_7,power_power_nat(A_7,N_12)))). % 7.37/7.40 all N_12 A_7 (ord_less_int(one_one_int,A_7)->ord_less_int(power_power_int(A_7,N_12),times_times_int(A_7,power_power_int(A_7,N_12)))). % 7.37/7.40 all N_11 A_6 (ord_less_real(one_one_real,A_6)->ord_less_real(one_one_real,times_times_real(A_6,power_power_real(A_6,N_11)))). % 7.37/7.40 all N_11 A_6 (ord_less_nat(one_one_nat,A_6)->ord_less_nat(one_one_nat,times_times_nat(A_6,power_power_nat(A_6,N_11)))). % 7.37/7.40 all N_11 A_6 (ord_less_int(one_one_int,A_6)->ord_less_int(one_one_int,times_times_int(A_6,power_power_int(A_6,N_11)))). % 7.37/7.40 all N_10 ((N_10=zero_zero_nat->power_power_real(zero_zero_real,N_10)=one_one_real)& (N_10!=zero_zero_nat->power_power_real(zero_zero_real,N_10)=zero_zero_real)). % 7.37/7.40 all N_10 ((N_10=zero_zero_nat->power_power_nat(zero_zero_nat,N_10)=one_one_nat)& (N_10!=zero_zero_nat->power_power_nat(zero_zero_nat,N_10)=zero_zero_nat)). % 7.37/7.40 all N_10 ((N_10=zero_zero_nat->power_power_int(zero_zero_int,N_10)=one_one_int)& (N_10!=zero_zero_nat->power_power_int(zero_zero_int,N_10)=zero_zero_int)). % 7.37/7.40 all A_5 N_9 N_8 (ord_less_nat(N_9,N_8)-> (ord_less_real(one_one_real,A_5)->ord_less_real(power_power_real(A_5,N_9),power_power_real(A_5,N_8)))). % 7.37/7.40 all A_5 N_9 N_8 (ord_less_nat(N_9,N_8)-> (ord_less_nat(one_one_nat,A_5)->ord_less_nat(power_power_nat(A_5,N_9),power_power_nat(A_5,N_8)))). % 7.37/7.40 all A_5 N_9 N_8 (ord_less_nat(N_9,N_8)-> (ord_less_int(one_one_int,A_5)->ord_less_int(power_power_int(A_5,N_9),power_power_int(A_5,N_8)))). % 7.37/7.40 all M_1 N_7 A_4 (ord_less_real(one_one_real,A_4)-> (ord_less_real(power_power_real(A_4,M_1),power_power_real(A_4,N_7))->ord_less_nat(M_1,N_7))). % 7.37/7.40 all M_1 N_7 A_4 (ord_less_nat(one_one_nat,A_4)-> (ord_less_nat(power_power_nat(A_4,M_1),power_power_nat(A_4,N_7))->ord_less_nat(M_1,N_7))). % 7.37/7.40 all M_1 N_7 A_4 (ord_less_int(one_one_int,A_4)-> (ord_less_int(power_power_int(A_4,M_1),power_power_int(A_4,N_7))->ord_less_nat(M_1,N_7))). % 7.37/7.40 all X_2 Y_2 B_1 (ord_less_real(one_one_real,B_1)-> (ord_less_real(power_power_real(B_1,X_2),power_power_real(B_1,Y_2))<->ord_less_nat(X_2,Y_2))). % 7.37/7.40 all X_2 Y_2 B_1 (ord_less_nat(one_one_nat,B_1)-> (ord_less_nat(power_power_nat(B_1,X_2),power_power_nat(B_1,Y_2))<->ord_less_nat(X_2,Y_2))). % 7.37/7.40 all X_2 Y_2 B_1 (ord_less_int(one_one_int,B_1)-> (ord_less_int(power_power_int(B_1,X_2),power_power_int(B_1,Y_2))<->ord_less_nat(X_2,Y_2))). % 7.37/7.40 all A_3 N_6 N_5 (ord_less_e_q_nat(N_6,N_5)-> (ord_less_e_q_real(one_one_real,A_3)->ord_less_e_q_real(power_power_real(A_3,N_6),power_power_real(A_3,N_5)))). % 7.37/7.40 all A_3 N_6 N_5 (ord_less_e_q_nat(N_6,N_5)-> (ord_less_e_q_nat(one_one_nat,A_3)->ord_less_e_q_nat(power_power_nat(A_3,N_6),power_power_nat(A_3,N_5)))). % 7.37/7.40 all A_3 N_6 N_5 (ord_less_e_q_nat(N_6,N_5)-> (ord_less_e_q_int(one_one_int,A_3)->ord_less_e_q_int(power_power_int(A_3,N_6),power_power_int(A_3,N_5)))). % 7.37/7.40 all N_4 A_2 (ord_less_real(zero_zero_real,A_2)-> (ord_less_real(A_2,one_one_real)->ord_less_real(times_times_real(A_2,power_power_real(A_2,N_4)),power_power_real(A_2,N_4)))). % 7.37/7.40 all N_4 A_2 (ord_less_nat(zero_zero_nat,A_2)-> (ord_less_nat(A_2,one_one_nat)->ord_less_nat(times_times_nat(A_2,power_power_nat(A_2,N_4)),power_power_nat(A_2,N_4)))). % 7.37/7.40 all N_4 A_2 (ord_less_int(zero_zero_int,A_2)-> (ord_less_int(A_2,one_one_int)->ord_less_int(times_times_int(A_2,power_power_int(A_2,N_4)),power_power_int(A_2,N_4)))). % 7.37/7.40 all A_1 N_3 N_2 (ord_less_nat(N_3,N_2)-> (ord_less_int(zero_zero_int,A_1)-> (ord_less_int(A_1,one_one_int)->ord_less_int(power_power_int(A_1,N_2),power_power_int(A_1,N_3))))). % 7.37/7.40 all A N (ord_less_nat(zero_zero_nat,N)-> (ord_less_real(zero_zero_real,A)-> (exists X_1 (ord_less_real(zero_zero_real,X_1)&power_power_real(X_1,N)=A& (all Y_1 (ord_less_real(zero_zero_real,Y_1)&power_power_real(Y_1,N)=A->Y_1=X_1)))))). % 7.37/7.40 all A B (dvd_dvd_nat(A,B)->B=zero_zero_nat|ord_less_e_q_nat(A,B)). % 7.37/7.40 all N X Y (dvd_dvd_nat(X,Y)->dvd_dvd_nat(power_power_nat(X,N),power_power_nat(Y,N))). % 7.37/7.40 all C A B (dvd_dvd_nat(A,B)->dvd_dvd_nat(times_times_nat(C,A),times_times_nat(C,B))). % 7.37/7.40 all C A B (dvd_dvd_nat(A,B)->dvd_dvd_nat(times_times_nat(A,C),times_times_nat(B,C))). % 7.37/7.40 all B D A (dvd_dvd_nat(D,A)-> (dvd_dvd_nat(D,plus_plus_nat(A,B))->dvd_dvd_nat(D,B))). % 7.37/7.40 all Ma K N_1 (dvd_dvd_nat(times_times_nat(Ma,K),times_times_nat(N_1,K))<->K=zero_zero_nat|dvd_dvd_nat(Ma,N_1)). % 7.37/7.40 all A N B (dvd_dvd_nat(power_power_nat(A,N),power_power_nat(B,N))-> (N!=zero_zero_nat->dvd_dvd_nat(A,B))). % 7.37/7.40 all X Y N (N!=zero_zero_nat-> (dvd_dvd_nat(power_power_nat(X,N),Y)->dvd_dvd_nat(X,Y))). % 7.37/7.40 all X Q N R (X=plus_plus_nat(times_times_nat(Q,N),R)-> (ord_less_nat(zero_zero_nat,R)-> (ord_less_nat(R,N)-> -dvd_dvd_nat(N,X)))). % 7.37/7.40 all I M N (dvd_dvd_nat(power_power_nat(I,M),power_power_nat(I,N))-> (ord_less_nat(one_one_nat,I)->ord_less_e_q_nat(M,N))). % 7.37/7.40 all N M (dvd_dvd_nat(N,M)->M=zero_zero_nat|M=N|ord_less_e_q_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))),N),M)). % 7.37/7.40 -ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int). % 7.37/7.40 end_of_list. % 7.37/7.40 % 7.37/7.40 -------> usable clausifies to: % 7.37/7.40 % 7.37/7.40 list(usable). % 7.37/7.40 0 [] A=A. % 7.37/7.40 0 [] -is_int(B_1_1)| -is_int(B_2_1)|is_int(minus_minus_int(B_1_1,B_2_1)). % 7.37/7.40 0 [] is_int(one_one_int). % 7.37/7.40 0 [] -is_int(B_1_1)| -is_int(B_2_1)|is_int(plus_plus_int(B_1_1,B_2_1)). % 7.37/7.40 0 [] -is_int(B_1_1)| -is_int(B_2_1)|is_int(times_times_int(B_1_1,B_2_1)). % 7.37/7.40 0 [] is_int(zero_zero_int). % 7.37/7.40 0 [] is_int(undefined_int(int)). % 7.37/7.40 0 [] -is_int(B_1_1)|is_int(bit0(B_1_1)). % 7.37/7.40 0 [] -is_int(B_1_1)|is_int(bit1(B_1_1)). % 7.37/7.40 0 [] is_int(min). % 7.37/7.40 0 [] is_int(pls). % 7.37/7.40 0 [] -is_int(B_1_1)|is_int(number_number_of_int(B_1_1)). % 7.37/7.40 0 [] -is_int(B_1_1)|is_int(power_power_int(B_1_1,B_2_1)). % 7.37/7.40 0 [] -is_int(B_1_1)| -is_int(B_2_1)|is_int(legendre(B_1_1,B_2_1)). % 7.37/7.40 0 [] is_int(m). % 7.37/7.40 0 [] is_int(s1). % 7.37/7.40 0 [] is_int(s). % 7.37/7.40 0 [] is_int(t). % 7.37/7.40 0 [] ord_less_int(t,zero_zero_int). % 7.37/7.40 0 [] ord_less_int(t,one_one_int). % 7.37/7.40 0 [] ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)). % 7.37/7.40 0 [] plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t). % 7.37/7.40 0 [] t!=zero_zero_int|plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)=zero_zero_int. % 7.37/7.40 0 [] -ord_less_e_q_int(one_one_int,t). % 7.37/7.40 0 [] ord_less_int(zero_zero_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.40 0 [] -ord_less_real(plus_plus_real(power_power_real(X,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real). % 7.37/7.40 0 [] -ord_less_int(plus_plus_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int). % 7.37/7.40 0 [] -ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls))))))|X_2!=zero_zero_real|Y_2!=zero_zero_real. % 7.37/7.40 0 [] ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls))))))|X_2=zero_zero_real. % 7.37/7.40 0 [] ord_less_real(zero_zero_real,plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls))))))|Y_2=zero_zero_real. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)| -ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_2,number_number_of_nat(bit0(bit1(pls))))))|X_2!=zero_zero_int|Y_2!=zero_zero_int. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_2,number_number_of_nat(bit0(bit1(pls))))))|X_2=zero_zero_int. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|ord_less_int(zero_zero_int,plus_plus_int(power_power_int(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_2,number_number_of_nat(bit0(bit1(pls))))))|Y_2=zero_zero_int. % 7.37/7.40 0 [] plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|X_2=zero_zero_real. % 7.37/7.40 0 [] plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|Y_2=zero_zero_real. % 7.37/7.40 0 [] plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|X_2!=zero_zero_real|Y_2!=zero_zero_real. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|plus_plus_int(power_power_int(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_2,number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_int|X_2=zero_zero_int. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|plus_plus_int(power_power_int(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_2,number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_int|Y_2=zero_zero_int. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|plus_plus_int(power_power_int(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_2,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|X_2!=zero_zero_int|Y_2!=zero_zero_int. % 7.37/7.40 0 [] -ord_less_real(power_power_real(A_56,number_number_of_nat(bit0(bit1(pls)))),zero_zero_real). % 7.37/7.40 0 [] -ord_less_int(power_power_int(A_56,number_number_of_nat(bit0(bit1(pls)))),zero_zero_int). % 7.37/7.40 0 [] -ord_less_real(zero_zero_real,power_power_real(A_13,number_number_of_nat(bit0(bit1(pls)))))|A_13!=zero_zero_real. % 7.37/7.40 0 [] ord_less_real(zero_zero_real,power_power_real(A_13,number_number_of_nat(bit0(bit1(pls)))))|A_13=zero_zero_real. % 7.37/7.40 0 [] -is_int(A_13)| -ord_less_int(zero_zero_int,power_power_int(A_13,number_number_of_nat(bit0(bit1(pls)))))|A_13!=zero_zero_int. % 7.37/7.40 0 [] -is_int(A_13)|ord_less_int(zero_zero_int,power_power_int(A_13,number_number_of_nat(bit0(bit1(pls)))))|A_13=zero_zero_int. % 7.37/7.40 0 [] power_power_real(one_one_real,number_number_of_nat(bit0(bit1(pls))))=one_one_real. % 7.37/7.40 0 [] power_power_nat(one_one_nat,number_number_of_nat(bit0(bit1(pls))))=one_one_nat. % 7.37/7.40 0 [] power_power_int(one_one_int,number_number_of_nat(bit0(bit1(pls))))=one_one_int. % 7.37/7.40 0 [] power_power_real(zero_zero_real,number_number_of_nat(bit0(bit1(pls))))=zero_zero_real. % 7.37/7.40 0 [] power_power_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls))))=zero_zero_nat. % 7.37/7.40 0 [] power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls))))=zero_zero_int. % 7.37/7.40 0 [] power_power_real(A_13,number_number_of_nat(bit0(bit1(pls))))!=zero_zero_real|A_13=zero_zero_real. % 7.37/7.40 0 [] power_power_real(A_13,number_number_of_nat(bit0(bit1(pls))))=zero_zero_real|A_13!=zero_zero_real. % 7.37/7.40 0 [] -is_int(A_13)|power_power_int(A_13,number_number_of_nat(bit0(bit1(pls))))!=zero_zero_int|A_13=zero_zero_int. % 7.37/7.40 0 [] -is_int(A_13)|power_power_int(A_13,number_number_of_nat(bit0(bit1(pls))))=zero_zero_int|A_13!=zero_zero_int. % 7.37/7.40 0 [] plus_plus_real(one_one_real,number267125858f_real(W_16))=number267125858f_real(plus_plus_int(bit1(pls),W_16)). % 7.37/7.40 0 [] plus_plus_int(one_one_int,number_number_of_int(W_16))=number_number_of_int(plus_plus_int(bit1(pls),W_16)). % 7.37/7.40 0 [] plus_plus_real(number267125858f_real(V_20),one_one_real)=number267125858f_real(plus_plus_int(V_20,bit1(pls))). % 7.37/7.40 0 [] plus_plus_int(number_number_of_int(V_20),one_one_int)=number_number_of_int(plus_plus_int(V_20,bit1(pls))). % 7.37/7.40 0 [] ord_less_int(t,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.40 0 [] is_int($c1). % 7.37/7.40 0 [] plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),$c1). % 7.37/7.40 0 [] zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.40 0 [] twoSqu142715416sum2sq(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t)). % 7.37/7.40 0 [] ord_less_e_q_int(W,W). % 7.37/7.40 0 [] -is_int(K_1)|number_number_of_int(K_1)=K_1. % 7.37/7.40 0 [] times_times_int(Z,W)=times_times_int(W,Z). % 7.37/7.40 0 [] ord_less_e_q_int(Z,W)|ord_less_e_q_int(W,Z). % 7.37/7.40 0 [] times_times_int(number_number_of_int(V_4),number_number_of_int(W))=number_number_of_int(times_times_int(V_4,W)). % 7.37/7.40 0 [] -ord_less_e_q_int(number_number_of_int(K),number_number_of_int(L_1))|ord_less_e_q_int(K,L_1). % 7.37/7.40 0 [] ord_less_e_q_int(number_number_of_int(K),number_number_of_int(L_1))| -ord_less_e_q_int(K,L_1). % 7.37/7.40 0 [] -ord_less_e_q_real(number267125858f_real(X_2),number267125858f_real(Y_2))|ord_less_e_q_int(X_2,Y_2). % 7.37/7.40 0 [] ord_less_e_q_real(number267125858f_real(X_2),number267125858f_real(Y_2))| -ord_less_e_q_int(X_2,Y_2). % 7.37/7.40 0 [] -ord_less_e_q_int(number_number_of_int(X_2),number_number_of_int(Y_2))|ord_less_e_q_int(X_2,Y_2). % 7.37/7.40 0 [] ord_less_e_q_int(number_number_of_int(X_2),number_number_of_int(Y_2))| -ord_less_e_q_int(X_2,Y_2). % 7.37/7.40 0 [] times_times_int(times_times_int(Z1,Z2),Z3)=times_times_int(Z1,times_times_int(Z2,Z3)). % 7.37/7.40 0 [] -ord_less_e_q_int(I,J)| -ord_less_e_q_int(J,K_1)|ord_less_e_q_int(I,K_1). % 7.37/7.40 0 [] -is_int(Z)| -is_int(W)| -ord_less_e_q_int(Z,W)| -ord_less_e_q_int(W,Z)|Z=W. % 7.37/7.40 0 [] power_power_int(X,plus_plus_nat(Y,Z))=times_times_int(power_power_int(X,Y),power_power_int(X,Z)). % 7.37/7.40 0 [] -ord_less_e_q_int(bit1(K1),bit1(K2))|ord_less_e_q_int(K1,K2). % 7.37/7.40 0 [] ord_less_e_q_int(bit1(K1),bit1(K2))| -ord_less_e_q_int(K1,K2). % 7.37/7.40 0 [] -ord_less_e_q_int(bit1(K),bit1(L_1))|ord_less_e_q_int(K,L_1). % 7.37/7.40 0 [] ord_less_e_q_int(bit1(K),bit1(L_1))| -ord_less_e_q_int(K,L_1). % 7.37/7.40 0 [] ord_less_e_q_int(pls,pls). % 7.37/7.40 0 [] -ord_less_e_q_int(bit0(K1),bit0(K2))|ord_less_e_q_int(K1,K2). % 7.37/7.40 0 [] ord_less_e_q_int(bit0(K1),bit0(K2))| -ord_less_e_q_int(K1,K2). % 7.37/7.40 0 [] -ord_less_e_q_int(bit0(K),bit0(L_1))|ord_less_e_q_int(K,L_1). % 7.37/7.40 0 [] ord_less_e_q_int(bit0(K),bit0(L_1))| -ord_less_e_q_int(K,L_1). % 7.37/7.40 0 [] -is_int(Z_1)| -is_int(W_1)| -ord_less_int(Z_1,W_1)|ord_less_e_q_int(Z_1,W_1). % 7.37/7.40 0 [] -is_int(Z_1)| -is_int(W_1)| -ord_less_int(Z_1,W_1)|Z_1!=W_1. % 7.37/7.40 0 [] -is_int(Z_1)| -is_int(W_1)|ord_less_int(Z_1,W_1)| -ord_less_e_q_int(Z_1,W_1)|Z_1=W_1. % 7.37/7.40 0 [] -ord_less_e_q_int(I,J)|ord_less_e_q_int(plus_plus_int(K_1,I),plus_plus_int(K_1,J)). % 7.37/7.40 0 [] number_number_of_nat(V_7)!=zero_zero_nat|ord_less_e_q_int(V_7,pls). % 7.37/7.40 0 [] number_number_of_nat(V_7)=zero_zero_nat| -ord_less_e_q_int(V_7,pls). % 7.37/7.40 0 [] zero_zero_nat!=number_number_of_nat(V_7)|ord_less_e_q_int(V_7,pls). % 7.37/7.40 0 [] zero_zero_nat=number_number_of_nat(V_7)| -ord_less_e_q_int(V_7,pls). % 7.37/7.40 0 [] -ord_less_e_q_int(pls,V_18)| -ord_less_e_q_int(pls,V_19)|times_times_real(number267125858f_real(V_18),number267125858f_real(V_19))=number267125858f_real(times_times_int(V_18,V_19)). % 7.37/7.40 0 [] -ord_less_e_q_int(pls,V_18)| -ord_less_e_q_int(pls,V_19)|times_times_nat(number_number_of_nat(V_18),number_number_of_nat(V_19))=number_number_of_nat(times_times_int(V_18,V_19)). % 7.37/7.40 0 [] -ord_less_e_q_int(pls,V_18)| -ord_less_e_q_int(pls,V_19)|times_times_int(number_number_of_int(V_18),number_number_of_int(V_19))=number_number_of_int(times_times_int(V_18,V_19)). % 7.37/7.40 0 [] times_times_real(number267125858f_real(V_17),times_times_real(number267125858f_real(W_15),Z_9))=times_times_real(number267125858f_real(times_times_int(V_17,W_15)),Z_9). % 7.37/7.40 0 [] times_times_int(number_number_of_int(V_17),times_times_int(number_number_of_int(W_15),Z_9))=times_times_int(number_number_of_int(times_times_int(V_17,W_15)),Z_9). % 7.37/7.40 0 [] times_times_real(number267125858f_real(V_16),number267125858f_real(W_14))=number267125858f_real(times_times_int(V_16,W_14)). % 7.37/7.40 0 [] times_times_int(number_number_of_int(V_16),number_number_of_int(W_14))=number_number_of_int(times_times_int(V_16,W_14)). % 7.37/7.40 0 [] number267125858f_real(times_times_int(V_15,W_13))=times_times_real(number267125858f_real(V_15),number267125858f_real(W_13)). % 7.37/7.40 0 [] number_number_of_int(times_times_int(V_15,W_13))=times_times_int(number_number_of_int(V_15),number_number_of_int(W_13)). % 7.37/7.40 0 [] -ord_less_e_q_real(plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2)),zero_zero_real)|X_2=zero_zero_real. % 7.37/7.40 0 [] -ord_less_e_q_real(plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2)),zero_zero_real)|Y_2=zero_zero_real. % 7.37/7.40 0 [] ord_less_e_q_real(plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2)),zero_zero_real)|X_2!=zero_zero_real|Y_2!=zero_zero_real. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)| -ord_less_e_q_int(plus_plus_int(times_times_int(X_2,X_2),times_times_int(Y_2,Y_2)),zero_zero_int)|X_2=zero_zero_int. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)| -ord_less_e_q_int(plus_plus_int(times_times_int(X_2,X_2),times_times_int(Y_2,Y_2)),zero_zero_int)|Y_2=zero_zero_int. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|ord_less_e_q_int(plus_plus_int(times_times_int(X_2,X_2),times_times_int(Y_2,Y_2)),zero_zero_int)|X_2!=zero_zero_int|Y_2!=zero_zero_int. % 7.37/7.40 0 [] ord_less_e_q_real(zero_zero_real,plus_plus_real(times_times_real(X_24,X_24),times_times_real(Y_16,Y_16))). % 7.37/7.40 0 [] ord_less_e_q_int(zero_zero_int,plus_plus_int(times_times_int(X_24,X_24),times_times_int(Y_16,Y_16))). % 7.37/7.40 0 [] -ord_less_e_q_real(number267125858f_real(X_2),zero_zero_real)|ord_less_e_q_int(X_2,pls). % 7.37/7.40 0 [] ord_less_e_q_real(number267125858f_real(X_2),zero_zero_real)| -ord_less_e_q_int(X_2,pls). % 7.37/7.40 0 [] -ord_less_e_q_int(number_number_of_int(X_2),zero_zero_int)|ord_less_e_q_int(X_2,pls). % 7.37/7.40 0 [] ord_less_e_q_int(number_number_of_int(X_2),zero_zero_int)| -ord_less_e_q_int(X_2,pls). % 7.37/7.40 0 [] -ord_less_e_q_real(zero_zero_real,number267125858f_real(Y_2))|ord_less_e_q_int(pls,Y_2). % 7.37/7.40 0 [] ord_less_e_q_real(zero_zero_real,number267125858f_real(Y_2))| -ord_less_e_q_int(pls,Y_2). % 7.37/7.40 0 [] -ord_less_e_q_int(zero_zero_int,number_number_of_int(Y_2))|ord_less_e_q_int(pls,Y_2). % 7.37/7.40 0 [] ord_less_e_q_int(zero_zero_int,number_number_of_int(Y_2))| -ord_less_e_q_int(pls,Y_2). % 7.37/7.40 0 [] -ord_less_nat(zero_zero_nat,number_number_of_nat(V_7))|ord_less_int(pls,V_7). % 7.37/7.40 0 [] ord_less_nat(zero_zero_nat,number_number_of_nat(V_7))| -ord_less_int(pls,V_7). % 7.37/7.40 0 [] -ord_less_e_q_real(number267125858f_real(V_7),number267125858f_real(W_1))| -ord_less_real(number267125858f_real(W_1),number267125858f_real(V_7)). % 7.37/7.40 0 [] ord_less_e_q_real(number267125858f_real(V_7),number267125858f_real(W_1))|ord_less_real(number267125858f_real(W_1),number267125858f_real(V_7)). % 7.37/7.40 0 [] -ord_less_e_q_nat(number_number_of_nat(V_7),number_number_of_nat(W_1))| -ord_less_nat(number_number_of_nat(W_1),number_number_of_nat(V_7)). % 7.37/7.40 0 [] ord_less_e_q_nat(number_number_of_nat(V_7),number_number_of_nat(W_1))|ord_less_nat(number_number_of_nat(W_1),number_number_of_nat(V_7)). % 7.37/7.40 0 [] -ord_less_e_q_int(number_number_of_int(V_7),number_number_of_int(W_1))| -ord_less_int(number_number_of_int(W_1),number_number_of_int(V_7)). % 7.37/7.40 0 [] ord_less_e_q_int(number_number_of_int(V_7),number_number_of_int(W_1))|ord_less_int(number_number_of_int(W_1),number_number_of_int(V_7)). % 7.37/7.40 0 [] -ord_less_e_q_int(pls,bit1(K))|ord_less_e_q_int(pls,K). % 7.37/7.40 0 [] ord_less_e_q_int(pls,bit1(K))| -ord_less_e_q_int(pls,K). % 7.37/7.40 0 [] -ord_less_e_q_int(bit0(K1),bit1(K2))|ord_less_e_q_int(K1,K2). % 7.37/7.40 0 [] ord_less_e_q_int(bit0(K1),bit1(K2))| -ord_less_e_q_int(K1,K2). % 7.37/7.40 0 [] -ord_less_e_q_int(bit0(K),bit1(L_1))|ord_less_e_q_int(K,L_1). % 7.37/7.40 0 [] ord_less_e_q_int(bit0(K),bit1(L_1))| -ord_less_e_q_int(K,L_1). % 7.37/7.40 0 [] -ord_less_e_q_int(bit0(K),pls)|ord_less_e_q_int(K,pls). % 7.37/7.40 0 [] ord_less_e_q_int(bit0(K),pls)| -ord_less_e_q_int(K,pls). % 7.37/7.40 0 [] -ord_less_e_q_int(pls,bit0(K))|ord_less_e_q_int(pls,K). % 7.37/7.40 0 [] ord_less_e_q_int(pls,bit0(K))| -ord_less_e_q_int(pls,K). % 7.37/7.40 0 [] -ord_less_int(W_12,W)| -ord_less_e_q_int(Z_8,Z)|ord_less_int(plus_plus_int(W_12,Z_8),plus_plus_int(W,Z)). % 7.37/7.40 0 [] number_number_of_nat(pls)=zero_zero_nat. % 7.37/7.40 0 [] zero_zero_nat=number_number_of_nat(pls). % 7.37/7.40 0 [] -ord_less_e_q_real(number267125858f_real(X_2),one_one_real)|ord_less_e_q_int(X_2,bit1(pls)). % 7.37/7.40 0 [] ord_less_e_q_real(number267125858f_real(X_2),one_one_real)| -ord_less_e_q_int(X_2,bit1(pls)). % 7.37/7.40 0 [] -ord_less_e_q_int(number_number_of_int(X_2),one_one_int)|ord_less_e_q_int(X_2,bit1(pls)). % 7.37/7.40 0 [] ord_less_e_q_int(number_number_of_int(X_2),one_one_int)| -ord_less_e_q_int(X_2,bit1(pls)). % 7.37/7.40 0 [] -ord_less_e_q_real(one_one_real,number267125858f_real(Y_2))|ord_less_e_q_int(bit1(pls),Y_2). % 7.37/7.40 0 [] ord_less_e_q_real(one_one_real,number267125858f_real(Y_2))| -ord_less_e_q_int(bit1(pls),Y_2). % 7.37/7.40 0 [] -ord_less_e_q_int(one_one_int,number_number_of_int(Y_2))|ord_less_e_q_int(bit1(pls),Y_2). % 7.37/7.40 0 [] ord_less_e_q_int(one_one_int,number_number_of_int(Y_2))| -ord_less_e_q_int(bit1(pls),Y_2). % 7.37/7.40 0 [] plus_plus_nat(one_one_nat,one_one_nat)=number_number_of_nat(bit0(bit1(pls))). % 7.37/7.40 0 [] times_times_int(pls,W)=pls. % 7.37/7.40 0 [] times_times_int(bit0(K_1),L)=bit0(times_times_int(K_1,L)). % 7.37/7.40 0 [] -ord_less_int(number_number_of_int(K),number_number_of_int(L_1))|ord_less_int(K,L_1). % 7.37/7.40 0 [] ord_less_int(number_number_of_int(K),number_number_of_int(L_1))| -ord_less_int(K,L_1). % 7.37/7.40 0 [] -is_int(Z)|times_times_int(Z,one_one_int)=Z. % 7.37/7.40 0 [] -is_int(Z)|times_times_int(one_one_int,Z)=Z. % 7.37/7.40 0 [] plus_plus_int(number_number_of_int(V_4),number_number_of_int(W))=number_number_of_int(plus_plus_int(V_4,W)). % 7.37/7.40 0 [] times_times_int(plus_plus_int(Z1,Z2),W)=plus_plus_int(times_times_int(Z1,W),times_times_int(Z2,W)). % 7.37/7.40 0 [] times_times_int(W,plus_plus_int(Z1,Z2))=plus_plus_int(times_times_int(W,Z1),times_times_int(W,Z2)). % 7.37/7.40 0 [] -ord_less_e_q_int(bit1(K),pls)|ord_less_int(K,pls). % 7.37/7.40 0 [] ord_less_e_q_int(bit1(K),pls)| -ord_less_int(K,pls). % 7.37/7.40 0 [] -ord_less_int(pls,bit1(K))|ord_less_e_q_int(pls,K). % 7.37/7.40 0 [] ord_less_int(pls,bit1(K))| -ord_less_e_q_int(pls,K). % 7.37/7.40 0 [] -ord_less_e_q_int(bit1(K1),bit0(K2))|ord_less_int(K1,K2). % 7.37/7.40 0 [] ord_less_e_q_int(bit1(K1),bit0(K2))| -ord_less_int(K1,K2). % 7.37/7.40 0 [] -ord_less_e_q_int(bit1(K),bit0(L_1))|ord_less_int(K,L_1). % 7.37/7.40 0 [] ord_less_e_q_int(bit1(K),bit0(L_1))| -ord_less_int(K,L_1). % 7.37/7.40 0 [] -ord_less_int(bit0(K1),bit1(K2))|ord_less_e_q_int(K1,K2). % 7.37/7.40 0 [] ord_less_int(bit0(K1),bit1(K2))| -ord_less_e_q_int(K1,K2). % 7.37/7.40 0 [] -ord_less_int(bit0(K),bit1(L_1))|ord_less_e_q_int(K,L_1). % 7.37/7.40 0 [] ord_less_int(bit0(K),bit1(L_1))| -ord_less_e_q_int(K,L_1). % 7.37/7.40 0 [] -ord_less_nat(number_number_of_nat(V_7),number_number_of_nat(V_6))| -ord_less_int(V_7,V_6)|ord_less_int(pls,V_6). % 7.37/7.40 0 [] -ord_less_nat(number_number_of_nat(V_7),number_number_of_nat(V_6))|ord_less_int(V_7,V_6). % 7.37/7.40 0 [] ord_less_nat(number_number_of_nat(V_7),number_number_of_nat(V_6))| -ord_less_int(pls,V_6)| -ord_less_int(V_7,V_6). % 7.37/7.40 0 [] -ord_less_e_q_int(one_one_int,Z_1)|ord_less_int(zero_zero_int,Z_1). % 7.37/7.40 0 [] ord_less_e_q_int(one_one_int,Z_1)| -ord_less_int(zero_zero_int,Z_1). % 7.37/7.40 0 [] number_number_of_nat(bit1(pls))=one_one_nat. % 7.37/7.40 0 [] one_one_nat=number_number_of_nat(bit1(pls)). % 7.37/7.40 0 [] -ord_less_int(W,Z)|ord_less_e_q_int(plus_plus_int(W,one_one_int),Z). % 7.37/7.40 0 [] -ord_less_e_q_int(plus_plus_int(W_1,one_one_int),Z_1)|ord_less_int(W_1,Z_1). % 7.37/7.40 0 [] ord_less_e_q_int(plus_plus_int(W_1,one_one_int),Z_1)| -ord_less_int(W_1,Z_1). % 7.37/7.40 0 [] -ord_less_int(W_1,plus_plus_int(Z_1,one_one_int))|ord_less_e_q_int(W_1,Z_1). % 7.37/7.40 0 [] ord_less_int(W_1,plus_plus_int(Z_1,one_one_int))| -ord_less_e_q_int(W_1,Z_1). % 7.37/7.40 0 [] -ord_less_e_q_int(pls,V_13)| -ord_less_e_q_int(pls,V_14)|plus_plus_real(number267125858f_real(V_13),number267125858f_real(V_14))=number267125858f_real(plus_plus_int(V_13,V_14)). % 7.37/7.40 0 [] -ord_less_e_q_int(pls,V_13)| -ord_less_e_q_int(pls,V_14)|plus_plus_nat(number_number_of_nat(V_13),number_number_of_nat(V_14))=number_number_of_nat(plus_plus_int(V_13,V_14)). % 7.37/7.40 0 [] -ord_less_e_q_int(pls,V_13)| -ord_less_e_q_int(pls,V_14)|plus_plus_int(number_number_of_int(V_13),number_number_of_int(V_14))=number_number_of_int(plus_plus_int(V_13,V_14)). % 7.37/7.40 0 [] -ord_less_int(V_4,pls)|plus_plus_nat(number_number_of_nat(V_4),number_number_of_nat(V_5))=number_number_of_nat(V_5). % 7.37/7.40 0 [] ord_less_int(V_4,pls)| -ord_less_int(V_5,pls)|plus_plus_nat(number_number_of_nat(V_4),number_number_of_nat(V_5))=number_number_of_nat(V_4). % 7.37/7.40 0 [] ord_less_int(V_4,pls)|ord_less_int(V_5,pls)|plus_plus_nat(number_number_of_nat(V_4),number_number_of_nat(V_5))=number_number_of_nat(plus_plus_int(V_4,V_5)). % 7.37/7.40 0 [] -ord_less_e_q_int(zero_zero_int,Z)|ord_less_int(zero_zero_int,plus_plus_int(one_one_int,Z)). % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|number267125858f_real(X_2)!=number267125858f_real(Y_2)|X_2=Y_2. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|number267125858f_real(X_2)=number267125858f_real(Y_2)|X_2!=Y_2. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|number_number_of_int(X_2)!=number_number_of_int(Y_2)|X_2=Y_2. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|number_number_of_int(X_2)=number_number_of_int(Y_2)|X_2!=Y_2. % 7.37/7.40 0 [] number267125858f_real(W_1)!=X_2|X_2=number267125858f_real(W_1). % 7.37/7.40 0 [] number267125858f_real(W_1)=X_2|X_2!=number267125858f_real(W_1). % 7.37/7.40 0 [] -is_int(X_2)|number_number_of_int(W_1)!=X_2|X_2=number_number_of_int(W_1). % 7.37/7.40 0 [] -is_int(X_2)|number_number_of_int(W_1)=X_2|X_2!=number_number_of_int(W_1). % 7.37/7.40 0 [] number_number_of_nat(W_1)!=X_2|X_2=number_number_of_nat(W_1). % 7.37/7.40 0 [] number_number_of_nat(W_1)=X_2|X_2!=number_number_of_nat(W_1). % 7.37/7.40 0 [] -is_int(K)| -is_int(L_1)|bit1(K)!=bit1(L_1)|K=L_1. % 7.37/7.40 0 [] -is_int(K)| -is_int(L_1)|bit1(K)=bit1(L_1)|K!=L_1. % 7.37/7.40 0 [] -is_int(K)| -is_int(L_1)|bit0(K)!=bit0(L_1)|K=L_1. % 7.37/7.40 0 [] -is_int(K)| -is_int(L_1)|bit0(K)=bit0(L_1)|K!=L_1. % 7.37/7.40 0 [] -is_int(X)| -is_int(Y)|ord_less_int(X,Y)|X=Y|ord_less_int(Y,X). % 7.37/7.40 0 [] plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2))!=zero_zero_real|X_2=zero_zero_real. % 7.37/7.40 0 [] plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2))!=zero_zero_real|Y_2=zero_zero_real. % 7.37/7.40 0 [] plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2))=zero_zero_real|X_2!=zero_zero_real|Y_2!=zero_zero_real. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|plus_plus_int(times_times_int(X_2,X_2),times_times_int(Y_2,Y_2))!=zero_zero_int|X_2=zero_zero_int. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|plus_plus_int(times_times_int(X_2,X_2),times_times_int(Y_2,Y_2))!=zero_zero_int|Y_2=zero_zero_int. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|plus_plus_int(times_times_int(X_2,X_2),times_times_int(Y_2,Y_2))=zero_zero_int|X_2!=zero_zero_int|Y_2!=zero_zero_int. % 7.37/7.40 0 [] times_times_real(plus_plus_real(A_55,B_20),number267125858f_real(V_12))=plus_plus_real(times_times_real(A_55,number267125858f_real(V_12)),times_times_real(B_20,number267125858f_real(V_12))). % 7.37/7.40 0 [] times_times_nat(plus_plus_nat(A_55,B_20),number_number_of_nat(V_12))=plus_plus_nat(times_times_nat(A_55,number_number_of_nat(V_12)),times_times_nat(B_20,number_number_of_nat(V_12))). % 7.37/7.40 0 [] times_times_int(plus_plus_int(A_55,B_20),number_number_of_int(V_12))=plus_plus_int(times_times_int(A_55,number_number_of_int(V_12)),times_times_int(B_20,number_number_of_int(V_12))). % 7.37/7.40 0 [] times_times_real(number267125858f_real(V_11),plus_plus_real(B_19,C_13))=plus_plus_real(times_times_real(number267125858f_real(V_11),B_19),times_times_real(number267125858f_real(V_11),C_13)). % 7.37/7.40 0 [] times_times_nat(number_number_of_nat(V_11),plus_plus_nat(B_19,C_13))=plus_plus_nat(times_times_nat(number_number_of_nat(V_11),B_19),times_times_nat(number_number_of_nat(V_11),C_13)). % 7.37/7.40 0 [] times_times_int(number_number_of_int(V_11),plus_plus_int(B_19,C_13))=plus_plus_int(times_times_int(number_number_of_int(V_11),B_19),times_times_int(number_number_of_int(V_11),C_13)). % 7.37/7.40 0 [] plus_plus_int(plus_plus_int(Z1,Z2),Z3)=plus_plus_int(Z1,plus_plus_int(Z2,Z3)). % 7.37/7.40 0 [] plus_plus_int(X,plus_plus_int(Y,Z))=plus_plus_int(Y,plus_plus_int(X,Z)). % 7.37/7.40 0 [] plus_plus_int(Z,W)=plus_plus_int(W,Z). % 7.37/7.40 0 [] zero_zero_int=number_number_of_int(pls). % 7.37/7.40 0 [] -ord_less_int(I,J)| -ord_less_int(zero_zero_int,K_1)|ord_less_int(times_times_int(K_1,I),times_times_int(K_1,J)). % 7.37/7.40 0 [] power_power_real(X_23,number_number_of_nat(bit0(bit1(pls))))!=power_power_real(Y_15,number_number_of_nat(bit0(bit1(pls))))| -ord_less_e_q_real(zero_zero_real,X_23)| -ord_less_e_q_real(zero_zero_real,Y_15)|X_23=Y_15. % 7.37/7.40 0 [] power_power_nat(X_23,number_number_of_nat(bit0(bit1(pls))))!=power_power_nat(Y_15,number_number_of_nat(bit0(bit1(pls))))| -ord_less_e_q_nat(zero_zero_nat,X_23)| -ord_less_e_q_nat(zero_zero_nat,Y_15)|X_23=Y_15. % 7.37/7.40 0 [] -is_int(X_23)| -is_int(Y_15)|power_power_int(X_23,number_number_of_nat(bit0(bit1(pls))))!=power_power_int(Y_15,number_number_of_nat(bit0(bit1(pls))))| -ord_less_e_q_int(zero_zero_int,X_23)| -ord_less_e_q_int(zero_zero_int,Y_15)|X_23=Y_15. % 7.37/7.40 0 [] -ord_less_e_q_real(power_power_real(X_22,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_14,number_number_of_nat(bit0(bit1(pls)))))| -ord_less_e_q_real(zero_zero_real,Y_14)|ord_less_e_q_real(X_22,Y_14). % 7.37/7.40 0 [] -ord_less_e_q_nat(power_power_nat(X_22,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(Y_14,number_number_of_nat(bit0(bit1(pls)))))| -ord_less_e_q_nat(zero_zero_nat,Y_14)|ord_less_e_q_nat(X_22,Y_14). % 7.37/7.40 0 [] -ord_less_e_q_int(power_power_int(X_22,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_14,number_number_of_nat(bit0(bit1(pls)))))| -ord_less_e_q_int(zero_zero_int,Y_14)|ord_less_e_q_int(X_22,Y_14). % 7.37/7.40 0 [] ord_less_e_q_real(zero_zero_real,power_power_real(A_54,number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.40 0 [] ord_less_e_q_int(zero_zero_int,power_power_int(A_54,number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.40 0 [] -ord_less_real(power_power_real(X_21,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_13,number_number_of_nat(bit0(bit1(pls)))))| -ord_less_e_q_real(zero_zero_real,Y_13)|ord_less_real(X_21,Y_13). % 7.37/7.40 0 [] -ord_less_nat(power_power_nat(X_21,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(Y_13,number_number_of_nat(bit0(bit1(pls)))))| -ord_less_e_q_nat(zero_zero_nat,Y_13)|ord_less_nat(X_21,Y_13). % 7.37/7.40 0 [] -ord_less_int(power_power_int(X_21,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_13,number_number_of_nat(bit0(bit1(pls)))))| -ord_less_e_q_int(zero_zero_int,Y_13)|ord_less_int(X_21,Y_13). % 7.37/7.40 0 [] -ord_less_e_q_real(plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)|X_2=zero_zero_real. % 7.37/7.40 0 [] -ord_less_e_q_real(plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)|Y_2=zero_zero_real. % 7.37/7.40 0 [] ord_less_e_q_real(plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)|X_2!=zero_zero_real|Y_2!=zero_zero_real. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)| -ord_less_e_q_int(plus_plus_int(power_power_int(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)|X_2=zero_zero_int. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)| -ord_less_e_q_int(plus_plus_int(power_power_int(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)|Y_2=zero_zero_int. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|ord_less_e_q_int(plus_plus_int(power_power_int(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_2,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)|X_2!=zero_zero_int|Y_2!=zero_zero_int. % 7.37/7.40 0 [] ord_less_e_q_real(zero_zero_real,plus_plus_real(power_power_real(X_20,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_12,number_number_of_nat(bit0(bit1(pls)))))). % 7.37/7.40 0 [] ord_less_e_q_int(zero_zero_int,plus_plus_int(power_power_int(X_20,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_12,number_number_of_nat(bit0(bit1(pls)))))). % 7.37/7.40 0 [] -ord_less_real(zero_zero_real,plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2)))|X_2!=zero_zero_real|Y_2!=zero_zero_real. % 7.37/7.40 0 [] ord_less_real(zero_zero_real,plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2)))|X_2=zero_zero_real. % 7.37/7.40 0 [] ord_less_real(zero_zero_real,plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2)))|Y_2=zero_zero_real. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)| -ord_less_int(zero_zero_int,plus_plus_int(times_times_int(X_2,X_2),times_times_int(Y_2,Y_2)))|X_2!=zero_zero_int|Y_2!=zero_zero_int. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|ord_less_int(zero_zero_int,plus_plus_int(times_times_int(X_2,X_2),times_times_int(Y_2,Y_2)))|X_2=zero_zero_int. % 7.37/7.40 0 [] -is_int(X_2)| -is_int(Y_2)|ord_less_int(zero_zero_int,plus_plus_int(times_times_int(X_2,X_2),times_times_int(Y_2,Y_2)))|Y_2=zero_zero_int. % 7.37/7.40 0 [] -ord_less_real(plus_plus_real(times_times_real(X_19,X_19),times_times_real(Y_11,Y_11)),zero_zero_real). % 7.37/7.40 0 [] -ord_less_int(plus_plus_int(times_times_int(X_19,X_19),times_times_int(Y_11,Y_11)),zero_zero_int). % 7.37/7.40 0 [] times_times_real(number267125858f_real(bit1(pls)),A_53)=A_53. % 7.37/7.40 0 [] -is_int(A_53)|times_times_int(number_number_of_int(bit1(pls)),A_53)=A_53. % 7.37/7.40 0 [] times_times_real(A_52,number267125858f_real(bit1(pls)))=A_52. % 7.37/7.40 0 [] -is_int(A_52)|times_times_int(A_52,number_number_of_int(bit1(pls)))=A_52. % 7.37/7.40 0 [] one_one_int=number_number_of_int(bit1(pls)). % 7.37/7.40 0 [] times_times_int(bit1(K_1),L)=plus_plus_int(bit0(times_times_int(K_1,L)),L). % 7.37/7.40 0 [] -is_int(N_1)| -is_int(Ma)| -ord_less_int(zero_zero_int,Ma)|times_times_int(Ma,N_1)!=one_one_int|Ma=one_one_int. % 7.37/7.40 0 [] -is_int(N_1)| -is_int(Ma)| -ord_less_int(zero_zero_int,Ma)|times_times_int(Ma,N_1)!=one_one_int|N_1=one_one_int. % 7.37/7.40 0 [] -is_int(N_1)| -is_int(Ma)| -ord_less_int(zero_zero_int,Ma)|times_times_int(Ma,N_1)=one_one_int|Ma!=one_one_int|N_1!=one_one_int. % 7.37/7.40 0 [] plus_plus_real(A_13,A_13)!=zero_zero_real|A_13=zero_zero_real. % 7.37/7.40 0 [] plus_plus_real(A_13,A_13)=zero_zero_real|A_13!=zero_zero_real. % 7.37/7.40 0 [] -is_int(A_13)|plus_plus_int(A_13,A_13)!=zero_zero_int|A_13=zero_zero_int. % 7.37/7.40 0 [] -is_int(A_13)|plus_plus_int(A_13,A_13)=zero_zero_int|A_13!=zero_zero_int. % 7.37/7.40 0 [] bit1(K_1)!=pls. % 7.37/7.40 0 [] pls!=bit1(L). % 7.37/7.40 0 [] bit1(K_1)!=bit0(L). % 7.37/7.40 0 [] bit0(K_1)!=bit1(L). % 7.37/7.40 0 [] -is_int(K)|bit0(K)!=pls|K=pls. % 7.37/7.40 0 [] -is_int(K)|bit0(K)=pls|K!=pls. % 7.37/7.40 0 [] -is_int(L_1)|pls!=bit0(L_1)|pls=L_1. % 7.37/7.40 0 [] -is_int(L_1)|pls=bit0(L_1)|pls!=L_1. % 7.37/7.40 0 [] bit0(pls)=pls. % 7.37/7.40 0 [] pls=zero_zero_int. % 7.37/7.40 0 [] -ord_less_int(bit1(K1),bit1(K2))|ord_less_int(K1,K2). % 7.37/7.40 0 [] ord_less_int(bit1(K1),bit1(K2))| -ord_less_int(K1,K2). % 7.37/7.40 0 [] -ord_less_int(bit1(K),bit1(L_1))|ord_less_int(K,L_1). % 7.37/7.40 0 [] ord_less_int(bit1(K),bit1(L_1))| -ord_less_int(K,L_1). % 7.37/7.40 0 [] -ord_less_int(pls,pls). % 7.37/7.40 0 [] -ord_less_int(bit0(K1),bit0(K2))|ord_less_int(K1,K2). % 7.37/7.40 0 [] ord_less_int(bit0(K1),bit0(K2))| -ord_less_int(K1,K2). % 7.37/7.40 0 [] -ord_less_int(bit0(K),bit0(L_1))|ord_less_int(K,L_1). % 7.37/7.40 0 [] ord_less_int(bit0(K),bit0(L_1))| -ord_less_int(K,L_1). % 7.37/7.40 0 [] zero_zero_int!=one_one_int. % 7.37/7.40 0 [] -is_int(K_1)|plus_plus_int(K_1,pls)=K_1. % 7.37/7.40 0 [] -is_int(K_1)|plus_plus_int(pls,K_1)=K_1. % 7.37/7.40 0 [] plus_plus_int(bit0(K_1),bit0(L))=bit0(plus_plus_int(K_1,L)). % 7.37/7.40 0 [] bit0(K_1)=plus_plus_int(K_1,K_1). % 7.37/7.40 0 [] -is_int(Z)|plus_plus_int(Z,zero_zero_int)=Z. % 7.37/7.40 0 [] -is_int(Z)|plus_plus_int(zero_zero_int,Z)=Z. % 7.37/7.40 0 [] -ord_less_int(I,J)|ord_less_int(plus_plus_int(I,K_1),plus_plus_int(J,K_1)). % 7.37/7.40 0 [] times_times_real(plus_plus_real(one_one_real,one_one_real),number267125858f_real(W_11))=number267125858f_real(bit0(W_11)). % 7.37/7.40 0 [] times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11))=number_number_of_int(bit0(W_11)). % 7.37/7.40 0 [] power_power_real(A_51,number_number_of_nat(bit1(bit1(pls))))=times_times_real(times_times_real(A_51,A_51),A_51). % 7.37/7.40 0 [] power_power_nat(A_51,number_number_of_nat(bit1(bit1(pls))))=times_times_nat(times_times_nat(A_51,A_51),A_51). % 7.37/7.40 0 [] power_power_int(A_51,number_number_of_nat(bit1(bit1(pls))))=times_times_int(times_times_int(A_51,A_51),A_51). % 7.37/7.40 0 [] times_times_real(number267125858f_real(bit0(bit1(pls))),Z_7)=plus_plus_real(Z_7,Z_7). % 7.37/7.40 0 [] times_times_nat(number_number_of_nat(bit0(bit1(pls))),Z_7)=plus_plus_nat(Z_7,Z_7). % 7.37/7.40 0 [] times_times_int(number_number_of_int(bit0(bit1(pls))),Z_7)=plus_plus_int(Z_7,Z_7). % 7.37/7.40 0 [] times_times_real(number267125858f_real(bit0(bit1(pls))),Z_6)=plus_plus_real(Z_6,Z_6). % 7.37/7.40 0 [] times_times_int(number_number_of_int(bit0(bit1(pls))),Z_6)=plus_plus_int(Z_6,Z_6). % 7.37/7.40 0 [] times_times_real(Z_5,number267125858f_real(bit0(bit1(pls))))=plus_plus_real(Z_5,Z_5). % 7.37/7.40 0 [] times_times_nat(Z_5,number_number_of_nat(bit0(bit1(pls))))=plus_plus_nat(Z_5,Z_5). % 7.37/7.40 0 [] times_times_int(Z_5,number_number_of_int(bit0(bit1(pls))))=plus_plus_int(Z_5,Z_5). % 7.37/7.40 0 [] times_times_real(Z_4,number267125858f_real(bit0(bit1(pls))))=plus_plus_real(Z_4,Z_4). % 7.37/7.40 0 [] times_times_int(Z_4,number_number_of_int(bit0(bit1(pls))))=plus_plus_int(Z_4,Z_4). % 7.37/7.40 0 [] power_power_real(A_50,number_number_of_nat(bit0(bit1(pls))))=times_times_real(A_50,A_50). % 7.37/7.40 0 [] power_power_nat(A_50,number_number_of_nat(bit0(bit1(pls))))=times_times_nat(A_50,A_50). % 7.37/7.40 0 [] power_power_int(A_50,number_number_of_nat(bit0(bit1(pls))))=times_times_int(A_50,A_50). % 7.37/7.40 0 [] -ord_less_real(plus_plus_real(A_13,A_13),zero_zero_real)|ord_less_real(A_13,zero_zero_real). % 7.37/7.40 0 [] ord_less_real(plus_plus_real(A_13,A_13),zero_zero_real)| -ord_less_real(A_13,zero_zero_real). % 7.37/7.40 0 [] -ord_less_int(plus_plus_int(A_13,A_13),zero_zero_int)|ord_less_int(A_13,zero_zero_int). % 7.37/7.40 0 [] ord_less_int(plus_plus_int(A_13,A_13),zero_zero_int)| -ord_less_int(A_13,zero_zero_int). % 7.37/7.40 0 [] number267125858f_real(pls)=zero_zero_real. % 7.37/7.40 0 [] number_number_of_nat(pls)=zero_zero_nat. % 7.37/7.40 0 [] number_number_of_int(pls)=zero_zero_int. % 7.37/7.40 0 [] number267125858f_real(pls)=zero_zero_real. % 7.37/7.40 0 [] number_number_of_int(pls)=zero_zero_int. % 7.37/7.40 0 [] zero_zero_real=number267125858f_real(pls). % 7.37/7.40 0 [] zero_zero_int=number_number_of_int(pls). % 7.37/7.40 0 [] plus_plus_real(number267125858f_real(pls),A_49)=A_49. % 7.37/7.40 0 [] -is_int(A_49)|plus_plus_int(number_number_of_int(pls),A_49)=A_49. % 7.37/7.40 0 [] plus_plus_real(A_48,number267125858f_real(pls))=A_48. % 7.37/7.40 0 [] -is_int(A_48)|plus_plus_int(A_48,number_number_of_int(pls))=A_48. % 7.37/7.40 0 [] -ord_less_real(number267125858f_real(X_2),number267125858f_real(Y_2))|ord_less_int(X_2,Y_2). % 7.37/7.40 0 [] ord_less_real(number267125858f_real(X_2),number267125858f_real(Y_2))| -ord_less_int(X_2,Y_2). % 7.37/7.40 0 [] -ord_less_int(number_number_of_int(X_2),number_number_of_int(Y_2))|ord_less_int(X_2,Y_2). % 7.37/7.40 0 [] ord_less_int(number_number_of_int(X_2),number_number_of_int(Y_2))| -ord_less_int(X_2,Y_2). % 7.37/7.40 0 [] plus_plus_real(number267125858f_real(V_10),plus_plus_real(number267125858f_real(W_10),Z_3))=plus_plus_real(number267125858f_real(plus_plus_int(V_10,W_10)),Z_3). % 7.37/7.40 0 [] plus_plus_int(number_number_of_int(V_10),plus_plus_int(number_number_of_int(W_10),Z_3))=plus_plus_int(number_number_of_int(plus_plus_int(V_10,W_10)),Z_3). % 7.37/7.40 0 [] plus_plus_real(number267125858f_real(V_9),number267125858f_real(W_9))=number267125858f_real(plus_plus_int(V_9,W_9)). % 7.37/7.40 0 [] plus_plus_int(number_number_of_int(V_9),number_number_of_int(W_9))=number_number_of_int(plus_plus_int(V_9,W_9)). % 7.37/7.40 0 [] number267125858f_real(plus_plus_int(V_8,W_8))=plus_plus_real(number267125858f_real(V_8),number267125858f_real(W_8)). % 7.37/7.40 0 [] number_number_of_int(plus_plus_int(V_8,W_8))=plus_plus_int(number_number_of_int(V_8),number_number_of_int(W_8)). % 7.37/7.40 0 [] -ord_less_int(bit1(K),pls)|ord_less_int(K,pls). % 7.37/7.40 0 [] ord_less_int(bit1(K),pls)| -ord_less_int(K,pls). % 7.37/7.40 0 [] -ord_less_int(bit1(K1),bit0(K2))|ord_less_int(K1,K2). % 7.37/7.40 0 [] ord_less_int(bit1(K1),bit0(K2))| -ord_less_int(K1,K2). % 7.37/7.40 0 [] -ord_less_int(bit1(K),bit0(L_1))|ord_less_int(K,L_1). % 7.37/7.40 0 [] ord_less_int(bit1(K),bit0(L_1))| -ord_less_int(K,L_1). % 7.37/7.40 0 [] -ord_less_int(bit1(W_1),zero_zero_int)|ord_less_int(W_1,zero_zero_int). % 7.37/7.40 0 [] ord_less_int(bit1(W_1),zero_zero_int)| -ord_less_int(W_1,zero_zero_int). % 7.37/7.40 0 [] -ord_less_int(bit0(K),pls)|ord_less_int(K,pls). % 7.37/7.40 0 [] ord_less_int(bit0(K),pls)| -ord_less_int(K,pls). % 7.37/7.40 0 [] -ord_less_int(pls,bit0(K))|ord_less_int(pls,K). % 7.37/7.40 0 [] ord_less_int(pls,bit0(K))| -ord_less_int(pls,K). % 7.37/7.40 0 [] -ord_less_int(pls,zero_zero_int). % 7.37/7.40 0 [] -ord_less_int(bit0(W_1),zero_zero_int)|ord_less_int(W_1,zero_zero_int). % 7.37/7.40 0 [] ord_less_int(bit0(W_1),zero_zero_int)| -ord_less_int(W_1,zero_zero_int). % 7.37/7.40 0 [] plus_plus_int(bit1(K_1),bit0(L))=bit1(plus_plus_int(K_1,L)). % 7.37/7.40 0 [] plus_plus_int(bit0(K_1),bit1(L))=bit1(plus_plus_int(K_1,L)). % 7.37/7.40 0 [] ord_less_int(zero_zero_int,one_one_int). % 7.37/7.40 0 [] bit1(K_1)=plus_plus_int(plus_plus_int(one_one_int,K_1),K_1). % 7.37/7.40 0 [] plus_plus_int(plus_plus_int(one_one_int,Z),Z)!=zero_zero_int. % 7.37/7.40 0 [] -is_int(W_1)| -is_int(Z_1)| -ord_less_int(W_1,plus_plus_int(Z_1,one_one_int))|ord_less_int(W_1,Z_1)|W_1=Z_1. % 7.37/7.40 0 [] -is_int(W_1)| -is_int(Z_1)|ord_less_int(W_1,plus_plus_int(Z_1,one_one_int))| -ord_less_int(W_1,Z_1). % 7.37/7.40 0 [] -is_int(W_1)| -is_int(Z_1)|ord_less_int(W_1,plus_plus_int(Z_1,one_one_int))|W_1!=Z_1. % 7.37/7.40 0 [] power_power_real(number267125858f_real(W_7),number_number_of_nat(bit0(bit1(pls))))=times_times_real(number267125858f_real(W_7),number267125858f_real(W_7)). % 7.37/7.40 0 [] power_power_nat(number_number_of_nat(W_7),number_number_of_nat(bit0(bit1(pls))))=times_times_nat(number_number_of_nat(W_7),number_number_of_nat(W_7)). % 7.37/7.40 0 [] power_power_int(number_number_of_int(W_7),number_number_of_nat(bit0(bit1(pls))))=times_times_int(number_number_of_int(W_7),number_number_of_int(W_7)). % 7.37/7.40 0 [] power_power_real(plus_plus_real(X_18,Y_10),number_number_of_nat(bit0(bit1(pls))))=plus_plus_real(plus_plus_real(power_power_real(X_18,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_10,number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X_18),Y_10)). % 7.37/7.40 0 [] power_power_nat(plus_plus_nat(X_18,Y_10),number_number_of_nat(bit0(bit1(pls))))=plus_plus_nat(plus_plus_nat(power_power_nat(X_18,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(Y_10,number_number_of_nat(bit0(bit1(pls))))),times_times_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))),X_18),Y_10)). % 7.37/7.40 0 [] power_power_int(plus_plus_int(X_18,Y_10),number_number_of_nat(bit0(bit1(pls))))=plus_plus_int(plus_plus_int(power_power_int(X_18,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_10,number_number_of_nat(bit0(bit1(pls))))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X_18),Y_10)). % 7.37/7.40 0 [] number267125858f_real(bit0(W_6))=plus_plus_real(plus_plus_real(zero_zero_real,number267125858f_real(W_6)),number267125858f_real(W_6)). % 7.37/7.40 0 [] number_number_of_int(bit0(W_6))=plus_plus_int(plus_plus_int(zero_zero_int,number_number_of_int(W_6)),number_number_of_int(W_6)). % 7.37/7.40 0 [] number267125858f_real(bit1(W_5))=plus_plus_real(plus_plus_real(one_one_real,number267125858f_real(W_5)),number267125858f_real(W_5)). % 7.37/7.40 0 [] number_number_of_int(bit1(W_5))=plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)). % 7.37/7.40 0 [] number267125858f_real(bit1(pls))=one_one_real. % 7.37/7.40 0 [] number_number_of_nat(bit1(pls))=one_one_nat. % 7.37/7.40 0 [] number_number_of_int(bit1(pls))=one_one_int. % 7.37/7.40 0 [] number267125858f_real(bit1(pls))=one_one_real. % 7.37/7.40 0 [] number_number_of_int(bit1(pls))=one_one_int. % 7.37/7.40 0 [] one_one_real=number267125858f_real(bit1(pls)). % 7.37/7.40 0 [] one_one_int=number_number_of_int(bit1(pls)). % 7.37/7.40 0 [] -ord_less_int(plus_plus_int(plus_plus_int(one_one_int,Z_1),Z_1),zero_zero_int)|ord_less_int(Z_1,zero_zero_int). % 7.37/7.40 0 [] ord_less_int(plus_plus_int(plus_plus_int(one_one_int,Z_1),Z_1),zero_zero_int)| -ord_less_int(Z_1,zero_zero_int). % 7.37/7.40 0 [] -ord_less_real(number267125858f_real(X_2),zero_zero_real)|ord_less_int(X_2,pls). % 7.37/7.40 0 [] ord_less_real(number267125858f_real(X_2),zero_zero_real)| -ord_less_int(X_2,pls). % 7.37/7.40 0 [] -ord_less_int(number_number_of_int(X_2),zero_zero_int)|ord_less_int(X_2,pls). % 7.37/7.40 0 [] ord_less_int(number_number_of_int(X_2),zero_zero_int)| -ord_less_int(X_2,pls). % 7.37/7.40 0 [] -ord_less_real(zero_zero_real,number267125858f_real(Y_2))|ord_less_int(pls,Y_2). % 7.37/7.40 0 [] ord_less_real(zero_zero_real,number267125858f_real(Y_2))| -ord_less_int(pls,Y_2). % 7.37/7.40 0 [] -ord_less_int(zero_zero_int,number_number_of_int(Y_2))|ord_less_int(pls,Y_2). % 7.37/7.40 0 [] ord_less_int(zero_zero_int,number_number_of_int(Y_2))| -ord_less_int(pls,Y_2). % 7.37/7.40 0 [] plus_plus_real(one_one_real,one_one_real)=number267125858f_real(bit0(bit1(pls))). % 7.37/7.40 0 [] plus_plus_nat(one_one_nat,one_one_nat)=number_number_of_nat(bit0(bit1(pls))). % 7.37/7.40 0 [] plus_plus_int(one_one_int,one_one_int)=number_number_of_int(bit0(bit1(pls))). % 7.37/7.40 0 [] plus_plus_real(one_one_real,one_one_real)=number267125858f_real(bit0(bit1(pls))). % 7.37/7.40 0 [] plus_plus_int(one_one_int,one_one_int)=number_number_of_int(bit0(bit1(pls))). % 7.37/7.40 0 [] -ord_less_real(number267125858f_real(X_2),one_one_real)|ord_less_int(X_2,bit1(pls)). % 7.37/7.40 0 [] ord_less_real(number267125858f_real(X_2),one_one_real)| -ord_less_int(X_2,bit1(pls)). % 7.37/7.40 0 [] -ord_less_int(number_number_of_int(X_2),one_one_int)|ord_less_int(X_2,bit1(pls)). % 7.37/7.40 0 [] ord_less_int(number_number_of_int(X_2),one_one_int)| -ord_less_int(X_2,bit1(pls)). % 7.37/7.40 0 [] -ord_less_real(one_one_real,number267125858f_real(Y_2))|ord_less_int(bit1(pls),Y_2). % 7.37/7.40 0 [] ord_less_real(one_one_real,number267125858f_real(Y_2))| -ord_less_int(bit1(pls),Y_2). % 7.37/7.40 0 [] -ord_less_int(one_one_int,number_number_of_int(Y_2))|ord_less_int(bit1(pls),Y_2). % 7.37/7.40 0 [] ord_less_int(one_one_int,number_number_of_int(Y_2))| -ord_less_int(bit1(pls),Y_2). % 7.37/7.40 0 [] dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)). % 7.37/7.40 0 [] power_power_int(plus_plus_int(A,B),number_number_of_nat(bit1(bit1(pls))))=plus_plus_int(plus_plus_int(plus_plus_int(power_power_int(A,number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),power_power_int(A,number_number_of_nat(bit0(bit1(pls))))),B)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),A),power_power_int(B,number_number_of_nat(bit0(bit1(pls)))))),power_power_int(B,number_number_of_nat(bit1(bit1(pls))))). % 7.37/7.40 0 [] power_power_int(plus_plus_int(A,B),number_number_of_nat(bit0(bit1(pls))))=plus_plus_int(plus_plus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B)),power_power_int(B,number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.40 0 [] -is_int(X)| -ord_less_e_q_int(zero_zero_int,X)| -ord_less_int(X,number_number_of_int(bit0(bit1(pls))))|X=zero_zero_int|X=one_one_int. % 7.37/7.40 0 [] ord_less_e_q_int(zero_zero_int,s). % 7.37/7.40 0 [] ord_less_int(s,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.40 0 [] zcong(s1,s,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.40 0 [] times_times_int(A,power_power_int(A,number_number_of_nat(bit0(bit1(pls)))))=power_power_int(A,number_number_of_nat(bit1(bit1(pls)))). % 7.37/7.40 0 [] ord_less_e_q_int(X,power_power_int(X,number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.40 0 [] -ord_less_int(zero_zero_int,A)|A!=plus_plus_int(R,times_times_int(A,Q))| -ord_less_int(R,A)|ord_less_e_q_int(one_one_int,Q). % 7.37/7.40 0 [] -ord_less_int(zero_zero_int,A)|A!=plus_plus_int(R,times_times_int(A,Q))| -ord_less_e_q_int(zero_zero_int,R)|ord_less_e_q_int(Q,one_one_int). % 7.37/7.40 0 [] ord_less_e_q_int(zero_zero_int,number_number_of_int(bit0(bit1(pls)))). % 7.37/7.40 0 [] power_power_real(X_17,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_34))=times_times_real(power_power_real(X_17,N_34),power_power_real(X_17,N_34)). % 7.37/7.40 0 [] power_power_nat(X_17,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_34))=times_times_nat(power_power_nat(X_17,N_34),power_power_nat(X_17,N_34)). % 7.37/7.40 0 [] power_power_int(X_17,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_34))=times_times_int(power_power_int(X_17,N_34),power_power_int(X_17,N_34)). % 7.37/7.40 0 [] zcong(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),power_power_int(s1,number_number_of_nat(bit0(bit1(pls)))),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.40 0 [] is_int($c2). % 7.37/7.40 0 [] ord_less_e_q_int(zero_zero_int,$c2). % 7.37/7.40 0 [] ord_less_int($c2,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.40 0 [] zcong(s1,$c2,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.40 0 [] -is_int(Y_1)| -ord_less_e_q_int(zero_zero_int,Y_1)| -ord_less_int(Y_1,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))| -zcong(s1,Y_1,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))|Y_1=$c2. % 7.37/7.40 0 [] is_int($c3). % 7.37/7.40 0 [] ord_less_e_q_int(zero_zero_int,$c3). % 7.37/7.40 0 [] ord_less_int($c3,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.40 0 [] zcong(s1,$c3,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.40 0 [] zcong(power_power_int(s1,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.40 0 [] -ord_less_nat(zero_zero_nat,power_power_nat(X_2,N_1))|N_1=zero_zero_nat|ord_less_nat(zero_zero_nat,X_2). % 7.37/7.40 0 [] ord_less_nat(zero_zero_nat,power_power_nat(X_2,N_1))|N_1!=zero_zero_nat. % 7.37/7.40 0 [] ord_less_nat(zero_zero_nat,power_power_nat(X_2,N_1))| -ord_less_nat(zero_zero_nat,X_2). % 7.37/7.40 0 [] -zprime(P)| -dvd_dvd_int(P,power_power_int(A,N))|dvd_dvd_int(P,A). % 7.37/7.40 0 [] power_power_real(power_power_real(X_16,P_3),Q_4)=power_power_real(X_16,times_times_nat(P_3,Q_4)). % 7.37/7.40 0 [] power_power_nat(power_power_nat(X_16,P_3),Q_4)=power_power_nat(X_16,times_times_nat(P_3,Q_4)). % 7.37/7.40 0 [] power_power_int(power_power_int(X_16,P_3),Q_4)=power_power_int(X_16,times_times_nat(P_3,Q_4)). % 7.37/7.40 0 [] -zprime(P)|dvd_dvd_int(P,B)| -dvd_dvd_int(power_power_int(P,N),times_times_int(A,B))|dvd_dvd_int(power_power_int(P,N),A). % 7.37/7.40 0 [] -zprime(P)|dvd_dvd_int(P,A)| -dvd_dvd_int(power_power_int(P,N),times_times_int(A,B))|dvd_dvd_int(power_power_int(P,N),B). % 7.37/7.40 0 [] power_power_int(power_power_int(X,Y),Z)=power_power_int(X,times_times_nat(Y,Z)). % 7.37/7.40 0 [] -ord_less_int(zero_zero_int,M)| -ord_less_int(M,N)| -dvd_dvd_int(N,M). % 7.37/7.40 0 [] -is_int(N)| -is_int(M)| -ord_less_e_q_int(zero_zero_int,M)| -ord_less_e_q_int(zero_zero_int,N)| -dvd_dvd_int(M,N)| -dvd_dvd_int(N,M)|M=N. % 7.37/7.40 0 [] -is_int(K_1)| -dvd_dvd_int(times_times_int(K_1,M),times_times_int(K_1,N))|K_1=zero_zero_int|dvd_dvd_int(M,N). % 7.37/7.40 0 [] -dvd_dvd_int(K,plus_plus_int(N_1,times_times_int(K,Ma)))|dvd_dvd_int(K,N_1). % 7.37/7.40 0 [] dvd_dvd_int(K,plus_plus_int(N_1,times_times_int(K,Ma)))| -dvd_dvd_int(K,N_1). % 7.37/7.40 0 [] -dvd_dvd_int(A_13,D_2)| -dvd_dvd_int(A_13,plus_plus_int(X_2,Ta))|dvd_dvd_int(A_13,plus_plus_int(plus_plus_int(X_2,times_times_int(C_1,D_2)),Ta)). % 7.37/7.40 0 [] -dvd_dvd_int(A_13,D_2)|dvd_dvd_int(A_13,plus_plus_int(X_2,Ta))| -dvd_dvd_int(A_13,plus_plus_int(plus_plus_int(X_2,times_times_int(C_1,D_2)),Ta)). % 7.37/7.40 0 [] zprime(number_number_of_int(bit0(bit1(pls)))). % 7.37/7.40 0 [] -dvd_dvd_int(Z,N)| -ord_less_int(zero_zero_int,N)|ord_less_e_q_int(Z,N). % 7.37/7.40 0 [] -twoSqu142715416sum2sq(X)| -twoSqu142715416sum2sq(Y)|twoSqu142715416sum2sq(times_times_int(X,Y)). % 7.37/7.40 0 [] -ord_less_e_q_nat(number_number_of_nat(V_7),number_number_of_nat(V_6))|ord_less_e_q_int(V_7,V_6)|ord_less_e_q_int(V_7,pls). % 7.37/7.40 0 [] ord_less_e_q_nat(number_number_of_nat(V_7),number_number_of_nat(V_6))| -ord_less_e_q_int(V_7,V_6). % 7.37/7.40 0 [] ord_less_e_q_nat(number_number_of_nat(V_7),number_number_of_nat(V_6))| -ord_less_e_q_int(V_7,pls). % 7.37/7.40 0 [] times_times_real(times_times_real(Lx_6,Ly_4),times_times_real(Rx_6,Ry_4))=times_times_real(times_times_real(Lx_6,Rx_6),times_times_real(Ly_4,Ry_4)). % 7.37/7.40 0 [] times_times_nat(times_times_nat(Lx_6,Ly_4),times_times_nat(Rx_6,Ry_4))=times_times_nat(times_times_nat(Lx_6,Rx_6),times_times_nat(Ly_4,Ry_4)). % 7.37/7.40 0 [] times_times_int(times_times_int(Lx_6,Ly_4),times_times_int(Rx_6,Ry_4))=times_times_int(times_times_int(Lx_6,Rx_6),times_times_int(Ly_4,Ry_4)). % 7.37/7.40 0 [] times_times_real(times_times_real(Lx_5,Ly_3),times_times_real(Rx_5,Ry_3))=times_times_real(Rx_5,times_times_real(times_times_real(Lx_5,Ly_3),Ry_3)). % 7.37/7.40 0 [] times_times_nat(times_times_nat(Lx_5,Ly_3),times_times_nat(Rx_5,Ry_3))=times_times_nat(Rx_5,times_times_nat(times_times_nat(Lx_5,Ly_3),Ry_3)). % 7.37/7.40 0 [] times_times_int(times_times_int(Lx_5,Ly_3),times_times_int(Rx_5,Ry_3))=times_times_int(Rx_5,times_times_int(times_times_int(Lx_5,Ly_3),Ry_3)). % 7.37/7.40 0 [] times_times_real(times_times_real(Lx_4,Ly_2),times_times_real(Rx_4,Ry_2))=times_times_real(Lx_4,times_times_real(Ly_2,times_times_real(Rx_4,Ry_2))). % 7.37/7.40 0 [] times_times_nat(times_times_nat(Lx_4,Ly_2),times_times_nat(Rx_4,Ry_2))=times_times_nat(Lx_4,times_times_nat(Ly_2,times_times_nat(Rx_4,Ry_2))). % 7.37/7.40 0 [] times_times_int(times_times_int(Lx_4,Ly_2),times_times_int(Rx_4,Ry_2))=times_times_int(Lx_4,times_times_int(Ly_2,times_times_int(Rx_4,Ry_2))). % 7.37/7.40 0 [] times_times_real(times_times_real(Lx_3,Ly_1),Rx_3)=times_times_real(times_times_real(Lx_3,Rx_3),Ly_1). % 7.37/7.40 0 [] times_times_nat(times_times_nat(Lx_3,Ly_1),Rx_3)=times_times_nat(times_times_nat(Lx_3,Rx_3),Ly_1). % 7.37/7.40 0 [] times_times_int(times_times_int(Lx_3,Ly_1),Rx_3)=times_times_int(times_times_int(Lx_3,Rx_3),Ly_1). % 7.37/7.40 0 [] times_times_real(times_times_real(Lx_2,Ly),Rx_2)=times_times_real(Lx_2,times_times_real(Ly,Rx_2)). % 7.37/7.40 0 [] times_times_nat(times_times_nat(Lx_2,Ly),Rx_2)=times_times_nat(Lx_2,times_times_nat(Ly,Rx_2)). % 7.37/7.40 0 [] times_times_int(times_times_int(Lx_2,Ly),Rx_2)=times_times_int(Lx_2,times_times_int(Ly,Rx_2)). % 7.37/7.40 0 [] times_times_real(Lx_1,times_times_real(Rx_1,Ry_1))=times_times_real(times_times_real(Lx_1,Rx_1),Ry_1). % 7.37/7.40 0 [] times_times_nat(Lx_1,times_times_nat(Rx_1,Ry_1))=times_times_nat(times_times_nat(Lx_1,Rx_1),Ry_1). % 7.37/7.40 0 [] times_times_int(Lx_1,times_times_int(Rx_1,Ry_1))=times_times_int(times_times_int(Lx_1,Rx_1),Ry_1). % 7.37/7.40 0 [] times_times_real(Lx,times_times_real(Rx,Ry))=times_times_real(Rx,times_times_real(Lx,Ry)). % 7.37/7.40 0 [] times_times_nat(Lx,times_times_nat(Rx,Ry))=times_times_nat(Rx,times_times_nat(Lx,Ry)). % 7.37/7.40 0 [] times_times_int(Lx,times_times_int(Rx,Ry))=times_times_int(Rx,times_times_int(Lx,Ry)). % 7.37/7.40 0 [] times_times_real(A_47,B_18)=times_times_real(B_18,A_47). % 7.37/7.40 0 [] times_times_nat(A_47,B_18)=times_times_nat(B_18,A_47). % 7.37/7.40 0 [] times_times_int(A_47,B_18)=times_times_int(B_18,A_47). % 7.37/7.40 0 [] plus_plus_real(A_46,C_12)=plus_plus_real(C_12,A_46). % 7.37/7.40 0 [] plus_plus_nat(A_46,C_12)=plus_plus_nat(C_12,A_46). % 7.37/7.40 0 [] plus_plus_int(A_46,C_12)=plus_plus_int(C_12,A_46). % 7.37/7.40 0 [] plus_plus_real(A_45,plus_plus_real(C_11,D_6))=plus_plus_real(C_11,plus_plus_real(A_45,D_6)). % 7.37/7.40 0 [] plus_plus_nat(A_45,plus_plus_nat(C_11,D_6))=plus_plus_nat(C_11,plus_plus_nat(A_45,D_6)). % 7.37/7.40 0 [] plus_plus_int(A_45,plus_plus_int(C_11,D_6))=plus_plus_int(C_11,plus_plus_int(A_45,D_6)). % 7.37/7.40 0 [] plus_plus_real(A_44,plus_plus_real(C_10,D_5))=plus_plus_real(plus_plus_real(A_44,C_10),D_5). % 7.37/7.40 0 [] plus_plus_nat(A_44,plus_plus_nat(C_10,D_5))=plus_plus_nat(plus_plus_nat(A_44,C_10),D_5). % 7.37/7.40 0 [] plus_plus_int(A_44,plus_plus_int(C_10,D_5))=plus_plus_int(plus_plus_int(A_44,C_10),D_5). % 7.37/7.40 0 [] plus_plus_real(plus_plus_real(A_43,B_17),C_9)=plus_plus_real(A_43,plus_plus_real(B_17,C_9)). % 7.37/7.40 0 [] plus_plus_nat(plus_plus_nat(A_43,B_17),C_9)=plus_plus_nat(A_43,plus_plus_nat(B_17,C_9)). % 7.37/7.40 0 [] plus_plus_int(plus_plus_int(A_43,B_17),C_9)=plus_plus_int(A_43,plus_plus_int(B_17,C_9)). % 7.37/7.40 0 [] plus_plus_real(plus_plus_real(A_42,B_16),C_8)=plus_plus_real(plus_plus_real(A_42,C_8),B_16). % 7.37/7.40 0 [] plus_plus_nat(plus_plus_nat(A_42,B_16),C_8)=plus_plus_nat(plus_plus_nat(A_42,C_8),B_16). % 7.37/7.40 0 [] plus_plus_int(plus_plus_int(A_42,B_16),C_8)=plus_plus_int(plus_plus_int(A_42,C_8),B_16). % 7.37/7.40 0 [] plus_plus_real(plus_plus_real(A_41,B_15),plus_plus_real(C_7,D_4))=plus_plus_real(plus_plus_real(A_41,C_7),plus_plus_real(B_15,D_4)). % 7.37/7.40 0 [] plus_plus_nat(plus_plus_nat(A_41,B_15),plus_plus_nat(C_7,D_4))=plus_plus_nat(plus_plus_nat(A_41,C_7),plus_plus_nat(B_15,D_4)). % 7.37/7.40 0 [] plus_plus_int(plus_plus_int(A_41,B_15),plus_plus_int(C_7,D_4))=plus_plus_int(plus_plus_int(A_41,C_7),plus_plus_int(B_15,D_4)). % 7.37/7.40 0 [] power_power_real(X_15,one_one_nat)=X_15. % 7.37/7.40 0 [] power_power_nat(X_15,one_one_nat)=X_15. % 7.37/7.40 0 [] -is_int(X_15)|power_power_int(X_15,one_one_nat)=X_15. % 7.37/7.40 0 [] -ord_less_nat(zero_zero_nat,power_power_nat(X_2,number_number_of_nat(W_1)))|number_number_of_nat(W_1)=zero_zero_nat|ord_less_nat(zero_zero_nat,X_2). % 7.37/7.40 0 [] ord_less_nat(zero_zero_nat,power_power_nat(X_2,number_number_of_nat(W_1)))|number_number_of_nat(W_1)!=zero_zero_nat. % 7.37/7.40 0 [] ord_less_nat(zero_zero_nat,power_power_nat(X_2,number_number_of_nat(W_1)))| -ord_less_nat(zero_zero_nat,X_2). % 7.37/7.40 0 [] times_times_nat(Z,number_number_of_nat(bit0(bit1(pls))))=plus_plus_nat(Z,Z). % 7.37/7.40 0 [] times_times_nat(number_number_of_nat(bit0(bit1(pls))),Z)=plus_plus_nat(Z,Z). % 7.37/7.40 0 [] -ord_less_int(V_4,pls)|times_times_nat(number_number_of_nat(V_4),number_number_of_nat(V_5))=zero_zero_nat. % 7.37/7.40 0 [] ord_less_int(V_4,pls)|times_times_nat(number_number_of_nat(V_4),number_number_of_nat(V_5))=number_number_of_nat(times_times_int(V_4,V_5)). % 7.37/7.40 0 [] -ord_less_int(V_4,pls)|times_times_nat(number_number_of_nat(V_4),times_times_nat(number_number_of_nat(V_5),K_1))=zero_zero_nat. % 7.37/7.40 0 [] ord_less_int(V_4,pls)|times_times_nat(number_number_of_nat(V_4),times_times_nat(number_number_of_nat(V_5),K_1))=times_times_nat(number_number_of_nat(times_times_int(V_4,V_5)),K_1). % 7.37/7.40 0 [] power_power_real(A_40,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_33))=power_power_real(power_power_real(A_40,N_33),number_number_of_nat(bit0(bit1(pls)))). % 7.37/7.40 0 [] power_power_nat(A_40,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_33))=power_power_nat(power_power_nat(A_40,N_33),number_number_of_nat(bit0(bit1(pls)))). % 7.37/7.40 0 [] power_power_int(A_40,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_33))=power_power_int(power_power_int(A_40,N_33),number_number_of_nat(bit0(bit1(pls)))). % 7.37/7.40 0 [] -ord_less_e_q_real(power_power_real(A_39,times_times_nat(number_number_of_nat(bit0(bit1(pls))),K_3)),zero_zero_real)|A_39=zero_zero_real. % 7.37/7.40 0 [] -is_int(A_39)| -ord_less_e_q_int(power_power_int(A_39,times_times_nat(number_number_of_nat(bit0(bit1(pls))),K_3)),zero_zero_int)|A_39=zero_zero_int. % 7.37/7.40 0 [] times_times_real(zero_zero_real,A_38)=zero_zero_real. % 7.37/7.40 0 [] times_times_nat(zero_zero_nat,A_38)=zero_zero_nat. % 7.37/7.40 0 [] times_times_int(zero_zero_int,A_38)=zero_zero_int. % 7.37/7.40 0 [] times_times_real(A_37,zero_zero_real)=zero_zero_real. % 7.37/7.40 0 [] times_times_nat(A_37,zero_zero_nat)=zero_zero_nat. % 7.37/7.40 0 [] times_times_int(A_37,zero_zero_int)=zero_zero_int. % 7.37/7.40 0 [] plus_plus_real(zero_zero_real,A_36)=A_36. % 7.37/7.40 0 [] plus_plus_nat(zero_zero_nat,A_36)=A_36. % 7.37/7.40 0 [] -is_int(A_36)|plus_plus_int(zero_zero_int,A_36)=A_36. % 7.37/7.40 0 [] plus_plus_real(A_35,zero_zero_real)=A_35. % 7.37/7.40 0 [] plus_plus_nat(A_35,zero_zero_nat)=A_35. % 7.37/7.40 0 [] -is_int(A_35)|plus_plus_int(A_35,zero_zero_int)=A_35. % 7.37/7.40 0 [] B_1!=plus_plus_real(B_1,A_13)|A_13=zero_zero_real. % 7.37/7.40 0 [] B_1=plus_plus_real(B_1,A_13)|A_13!=zero_zero_real. % 7.37/7.40 0 [] B_1!=plus_plus_nat(B_1,A_13)|A_13=zero_zero_nat. % 7.37/7.40 0 [] B_1=plus_plus_nat(B_1,A_13)|A_13!=zero_zero_nat. % 7.37/7.40 0 [] -is_int(B_1)| -is_int(A_13)|B_1!=plus_plus_int(B_1,A_13)|A_13=zero_zero_int. % 7.37/7.40 0 [] -is_int(B_1)| -is_int(A_13)|B_1=plus_plus_int(B_1,A_13)|A_13!=zero_zero_int. % 7.37/7.40 0 [] times_times_real(X_14,plus_plus_real(Y_9,Z_2))=plus_plus_real(times_times_real(X_14,Y_9),times_times_real(X_14,Z_2)). % 7.37/7.40 0 [] times_times_nat(X_14,plus_plus_nat(Y_9,Z_2))=plus_plus_nat(times_times_nat(X_14,Y_9),times_times_nat(X_14,Z_2)). % 7.37/7.40 0 [] times_times_int(X_14,plus_plus_int(Y_9,Z_2))=plus_plus_int(times_times_int(X_14,Y_9),times_times_int(X_14,Z_2)). % 7.37/7.40 0 [] A_13=B_1|C_1=D_2|plus_plus_real(times_times_real(A_13,C_1),times_times_real(B_1,D_2))!=plus_plus_real(times_times_real(A_13,D_2),times_times_real(B_1,C_1)). % 7.37/7.40 0 [] A_13!=B_1|plus_plus_real(times_times_real(A_13,C_1),times_times_real(B_1,D_2))=plus_plus_real(times_times_real(A_13,D_2),times_times_real(B_1,C_1)). % 7.37/7.40 0 [] C_1!=D_2|plus_plus_real(times_times_real(A_13,C_1),times_times_real(B_1,D_2))=plus_plus_real(times_times_real(A_13,D_2),times_times_real(B_1,C_1)). % 7.37/7.40 0 [] A_13=B_1|C_1=D_2|plus_plus_nat(times_times_nat(A_13,C_1),times_times_nat(B_1,D_2))!=plus_plus_nat(times_times_nat(A_13,D_2),times_times_nat(B_1,C_1)). % 7.37/7.40 0 [] A_13!=B_1|plus_plus_nat(times_times_nat(A_13,C_1),times_times_nat(B_1,D_2))=plus_plus_nat(times_times_nat(A_13,D_2),times_times_nat(B_1,C_1)). % 7.37/7.40 0 [] C_1!=D_2|plus_plus_nat(times_times_nat(A_13,C_1),times_times_nat(B_1,D_2))=plus_plus_nat(times_times_nat(A_13,D_2),times_times_nat(B_1,C_1)). % 7.37/7.40 0 [] -is_int(C_1)| -is_int(D_2)| -is_int(A_13)| -is_int(B_1)|A_13=B_1|C_1=D_2|plus_plus_int(times_times_int(A_13,C_1),times_times_int(B_1,D_2))!=plus_plus_int(times_times_int(A_13,D_2),times_times_int(B_1,C_1)). % 7.37/7.40 0 [] -is_int(C_1)| -is_int(D_2)| -is_int(A_13)| -is_int(B_1)|A_13!=B_1|plus_plus_int(times_times_int(A_13,C_1),times_times_int(B_1,D_2))=plus_plus_int(times_times_int(A_13,D_2),times_times_int(B_1,C_1)). % 7.37/7.40 0 [] -is_int(C_1)| -is_int(D_2)| -is_int(A_13)| -is_int(B_1)|C_1!=D_2|plus_plus_int(times_times_int(A_13,C_1),times_times_int(B_1,D_2))=plus_plus_int(times_times_int(A_13,D_2),times_times_int(B_1,C_1)). % 7.37/7.40 0 [] times_times_real(plus_plus_real(A_34,B_14),C_6)=plus_plus_real(times_times_real(A_34,C_6),times_times_real(B_14,C_6)). % 7.37/7.40 0 [] times_times_nat(plus_plus_nat(A_34,B_14),C_6)=plus_plus_nat(times_times_nat(A_34,C_6),times_times_nat(B_14,C_6)). % 7.37/7.40 0 [] times_times_int(plus_plus_int(A_34,B_14),C_6)=plus_plus_int(times_times_int(A_34,C_6),times_times_int(B_14,C_6)). % 7.37/7.40 0 [] plus_plus_real(times_times_real(A_33,M_12),times_times_real(B_13,M_12))=times_times_real(plus_plus_real(A_33,B_13),M_12). % 7.37/7.40 0 [] plus_plus_nat(times_times_nat(A_33,M_12),times_times_nat(B_13,M_12))=times_times_nat(plus_plus_nat(A_33,B_13),M_12). % 7.37/7.40 0 [] plus_plus_int(times_times_int(A_33,M_12),times_times_int(B_13,M_12))=times_times_int(plus_plus_int(A_33,B_13),M_12). % 7.37/7.40 0 [] plus_plus_real(times_times_real(W_1,Y_2),times_times_real(X_2,Z_1))!=plus_plus_real(times_times_real(W_1,Z_1),times_times_real(X_2,Y_2))|W_1=X_2|Y_2=Z_1. % 7.37/7.40 0 [] plus_plus_real(times_times_real(W_1,Y_2),times_times_real(X_2,Z_1))=plus_plus_real(times_times_real(W_1,Z_1),times_times_real(X_2,Y_2))|W_1!=X_2. % 7.37/7.40 0 [] plus_plus_real(times_times_real(W_1,Y_2),times_times_real(X_2,Z_1))=plus_plus_real(times_times_real(W_1,Z_1),times_times_real(X_2,Y_2))|Y_2!=Z_1. % 7.37/7.40 0 [] plus_plus_nat(times_times_nat(W_1,Y_2),times_times_nat(X_2,Z_1))!=plus_plus_nat(times_times_nat(W_1,Z_1),times_times_nat(X_2,Y_2))|W_1=X_2|Y_2=Z_1. % 7.37/7.40 0 [] plus_plus_nat(times_times_nat(W_1,Y_2),times_times_nat(X_2,Z_1))=plus_plus_nat(times_times_nat(W_1,Z_1),times_times_nat(X_2,Y_2))|W_1!=X_2. % 7.37/7.40 0 [] plus_plus_nat(times_times_nat(W_1,Y_2),times_times_nat(X_2,Z_1))=plus_plus_nat(times_times_nat(W_1,Z_1),times_times_nat(X_2,Y_2))|Y_2!=Z_1. % 7.37/7.40 0 [] -is_int(W_1)| -is_int(Y_2)| -is_int(X_2)| -is_int(Z_1)|plus_plus_int(times_times_int(W_1,Y_2),times_times_int(X_2,Z_1))!=plus_plus_int(times_times_int(W_1,Z_1),times_times_int(X_2,Y_2))|W_1=X_2|Y_2=Z_1. % 7.37/7.40 0 [] -is_int(W_1)| -is_int(Y_2)| -is_int(X_2)| -is_int(Z_1)|plus_plus_int(times_times_int(W_1,Y_2),times_times_int(X_2,Z_1))=plus_plus_int(times_times_int(W_1,Z_1),times_times_int(X_2,Y_2))|W_1!=X_2. % 7.37/7.40 0 [] -is_int(W_1)| -is_int(Y_2)| -is_int(X_2)| -is_int(Z_1)|plus_plus_int(times_times_int(W_1,Y_2),times_times_int(X_2,Z_1))=plus_plus_int(times_times_int(W_1,Z_1),times_times_int(X_2,Y_2))|Y_2!=Z_1. % 7.37/7.40 0 [] times_times_real(one_one_real,A_32)=A_32. % 7.37/7.40 0 [] times_times_nat(one_one_nat,A_32)=A_32. % 7.37/7.40 0 [] -is_int(A_32)|times_times_int(one_one_int,A_32)=A_32. % 7.37/7.40 0 [] times_times_real(A_31,one_one_real)=A_31. % 7.37/7.40 0 [] times_times_nat(A_31,one_one_nat)=A_31. % 7.37/7.40 0 [] -is_int(A_31)|times_times_int(A_31,one_one_int)=A_31. % 7.37/7.40 0 [] power_power_real(times_times_real(X_13,Y_8),Q_3)=times_times_real(power_power_real(X_13,Q_3),power_power_real(Y_8,Q_3)). % 7.37/7.40 0 [] power_power_nat(times_times_nat(X_13,Y_8),Q_3)=times_times_nat(power_power_nat(X_13,Q_3),power_power_nat(Y_8,Q_3)). % 7.37/7.40 0 [] power_power_int(times_times_int(X_13,Y_8),Q_3)=times_times_int(power_power_int(X_13,Q_3),power_power_int(Y_8,Q_3)). % 7.37/7.40 0 [] times_times_real(power_power_real(X_12,P_2),power_power_real(X_12,Q_2))=power_power_real(X_12,plus_plus_nat(P_2,Q_2)). % 7.37/7.40 0 [] times_times_nat(power_power_nat(X_12,P_2),power_power_nat(X_12,Q_2))=power_power_nat(X_12,plus_plus_nat(P_2,Q_2)). % 7.37/7.40 0 [] times_times_int(power_power_int(X_12,P_2),power_power_int(X_12,Q_2))=power_power_int(X_12,plus_plus_nat(P_2,Q_2)). % 7.37/7.40 0 [] power_power_real(X_11,zero_zero_nat)=one_one_real. % 7.37/7.40 0 [] power_power_nat(X_11,zero_zero_nat)=one_one_nat. % 7.37/7.40 0 [] power_power_int(X_11,zero_zero_nat)=one_one_int. % 7.37/7.40 0 [] ord_less_e_q_int(zero_zero_int,zero_zero_int). % 7.37/7.40 0 [] ord_less_e_q_real(zero_zero_real,power_power_real(A_30,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_32))). % 7.37/7.40 0 [] ord_less_e_q_int(zero_zero_int,power_power_int(A_30,times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_32))). % 7.37/7.40 0 [] R_2=zero_zero_real|A_29!=B_12|C_5=D_3|plus_plus_real(A_29,times_times_real(R_2,C_5))!=plus_plus_real(B_12,times_times_real(R_2,D_3)). % 7.37/7.40 0 [] R_2=zero_zero_nat|A_29!=B_12|C_5=D_3|plus_plus_nat(A_29,times_times_nat(R_2,C_5))!=plus_plus_nat(B_12,times_times_nat(R_2,D_3)). % 7.37/7.40 0 [] -is_int(C_5)| -is_int(D_3)| -is_int(R_2)|R_2=zero_zero_int|A_29!=B_12|C_5=D_3|plus_plus_int(A_29,times_times_int(R_2,C_5))!=plus_plus_int(B_12,times_times_int(R_2,D_3)). % 7.37/7.40 0 [] plus_plus_real(M_11,M_11)=times_times_real(plus_plus_real(one_one_real,one_one_real),M_11). % 7.37/7.40 0 [] plus_plus_nat(M_11,M_11)=times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),M_11). % 7.37/7.40 0 [] plus_plus_int(M_11,M_11)=times_times_int(plus_plus_int(one_one_int,one_one_int),M_11). % 7.37/7.40 0 [] plus_plus_real(M_10,times_times_real(A_28,M_10))=times_times_real(plus_plus_real(A_28,one_one_real),M_10). % 7.37/7.40 0 [] plus_plus_nat(M_10,times_times_nat(A_28,M_10))=times_times_nat(plus_plus_nat(A_28,one_one_nat),M_10). % 7.37/7.40 0 [] plus_plus_int(M_10,times_times_int(A_28,M_10))=times_times_int(plus_plus_int(A_28,one_one_int),M_10). % 7.37/7.40 0 [] plus_plus_real(times_times_real(A_27,M_9),M_9)=times_times_real(plus_plus_real(A_27,one_one_real),M_9). % 7.37/7.40 0 [] plus_plus_nat(times_times_nat(A_27,M_9),M_9)=times_times_nat(plus_plus_nat(A_27,one_one_nat),M_9). % 7.37/7.40 0 [] plus_plus_int(times_times_int(A_27,M_9),M_9)=times_times_int(plus_plus_int(A_27,one_one_int),M_9). % 7.37/7.40 0 [] power_power_real(A_13,number_number_of_nat(W_1))!=zero_zero_real|A_13=zero_zero_real. % 7.37/7.40 0 [] power_power_real(A_13,number_number_of_nat(W_1))!=zero_zero_real|number_number_of_nat(W_1)!=zero_zero_nat. % 7.37/7.40 0 [] power_power_real(A_13,number_number_of_nat(W_1))=zero_zero_real|A_13!=zero_zero_real|number_number_of_nat(W_1)=zero_zero_nat. % 7.37/7.40 0 [] power_power_nat(A_13,number_number_of_nat(W_1))!=zero_zero_nat|A_13=zero_zero_nat. % 7.37/7.40 0 [] power_power_nat(A_13,number_number_of_nat(W_1))!=zero_zero_nat|number_number_of_nat(W_1)!=zero_zero_nat. % 7.37/7.40 0 [] power_power_nat(A_13,number_number_of_nat(W_1))=zero_zero_nat|A_13!=zero_zero_nat|number_number_of_nat(W_1)=zero_zero_nat. % 7.37/7.40 0 [] -is_int(A_13)|power_power_int(A_13,number_number_of_nat(W_1))!=zero_zero_int|A_13=zero_zero_int. % 7.37/7.40 0 [] -is_int(A_13)|power_power_int(A_13,number_number_of_nat(W_1))!=zero_zero_int|number_number_of_nat(W_1)!=zero_zero_nat. % 7.37/7.40 0 [] -is_int(A_13)|power_power_int(A_13,number_number_of_nat(W_1))=zero_zero_int|A_13!=zero_zero_int|number_number_of_nat(W_1)=zero_zero_nat. % 7.37/7.40 0 [] -ord_less_int(zero_zero_int,A)| -ord_less_int(zero_zero_int,times_times_int(A,B))|ord_less_int(zero_zero_int,B). % 7.37/7.40 0 [] ord_less_e_q_int(zero_zero_int,one_one_int). % 7.37/7.40 0 [] -ord_less_e_q_int(zero_zero_int,X)| -ord_less_e_q_int(zero_zero_int,Y)|ord_less_e_q_int(zero_zero_int,times_times_int(X,Y)). % 7.37/7.40 0 [] -ord_less_e_q_int(zero_zero_int,X)| -ord_less_e_q_int(zero_zero_int,Y)|ord_less_e_q_int(zero_zero_int,plus_plus_int(X,Y)). % 7.37/7.40 0 [] -ord_less_e_q_int(zero_zero_int,X)|ord_less_e_q_int(zero_zero_int,power_power_int(X,N)). % 7.37/7.40 0 [] number_number_of_nat(W_4)!=zero_zero_nat|power_power_real(zero_zero_real,number_number_of_nat(W_4))=one_one_real. % 7.37/7.40 0 [] number_number_of_nat(W_4)=zero_zero_nat|power_power_real(zero_zero_real,number_number_of_nat(W_4))=zero_zero_real. % 7.37/7.40 0 [] number_number_of_nat(W_4)!=zero_zero_nat|power_power_nat(zero_zero_nat,number_number_of_nat(W_4))=one_one_nat. % 7.37/7.40 0 [] number_number_of_nat(W_4)=zero_zero_nat|power_power_nat(zero_zero_nat,number_number_of_nat(W_4))=zero_zero_nat. % 7.37/7.41 0 [] number_number_of_nat(W_4)!=zero_zero_nat|power_power_int(zero_zero_int,number_number_of_nat(W_4))=one_one_int. % 7.37/7.41 0 [] number_number_of_nat(W_4)=zero_zero_nat|power_power_int(zero_zero_int,number_number_of_nat(W_4))=zero_zero_int. % 7.37/7.41 0 [] ord_less_e_q_int(zero_zero_int,number_number_of_int(bit1(bit1(pls)))). % 7.37/7.41 0 [] -ord_less_e_q_int(zero_zero_int,plus_plus_int(times_times_int(B_11,Q_1),R_1))| -ord_less_int(R_1,B_11)| -ord_less_int(zero_zero_int,B_11)|ord_less_e_q_int(zero_zero_int,Q_1). % 7.37/7.41 0 [] -ord_less_int(plus_plus_int(times_times_int(B_11,Q_1),R_1),zero_zero_int)| -ord_less_e_q_int(zero_zero_int,R_1)| -ord_less_int(zero_zero_int,B_11)|ord_less_e_q_int(Q_1,zero_zero_int). % 7.37/7.41 0 [] -ord_less_e_q_int(plus_plus_int(times_times_int(B,Q_1),R_1),plus_plus_int(times_times_int(B,Q),R))| -ord_less_e_q_int(zero_zero_int,R_1)| -ord_less_int(R_1,B)| -ord_less_int(R,B)|ord_less_e_q_int(Q_1,Q). % 7.37/7.41 0 [] plus_plus_int(times_times_int(B,Q),R)!=plus_plus_int(times_times_int(B_11,Q_1),R_1)| -ord_less_e_q_int(zero_zero_int,plus_plus_int(times_times_int(B_11,Q_1),R_1))| -ord_less_int(R_1,B_11)| -ord_less_e_q_int(zero_zero_int,R)| -ord_less_int(zero_zero_int,B_11)| -ord_less_e_q_int(B_11,B)|ord_less_e_q_int(Q,Q_1). % 7.37/7.41 0 [] -ord_less_e_q_int(plus_plus_int(times_times_int(B,Q_1),R_1),plus_plus_int(times_times_int(B,Q),R))| -ord_less_e_q_int(R,zero_zero_int)| -ord_less_int(B,R)| -ord_less_int(B,R_1)|ord_less_e_q_int(Q,Q_1). % 7.37/7.41 0 [] plus_plus_int(times_times_int(B,Q),R)!=plus_plus_int(times_times_int(B_11,Q_1),R_1)| -ord_less_int(plus_plus_int(times_times_int(B_11,Q_1),R_1),zero_zero_int)| -ord_less_int(R,B)| -ord_less_e_q_int(zero_zero_int,R_1)| -ord_less_int(zero_zero_int,B_11)| -ord_less_e_q_int(B_11,B)|ord_less_e_q_int(Q_1,Q). % 7.37/7.41 0 [] power_power_int(power_power_int(X,number_number_of_nat(bit0(bit1(pls)))),number_number_of_nat(bit0(bit1(pls))))=power_power_int(X,number_number_of_nat(bit0(bit0(bit1(pls))))). % 7.37/7.41 0 [] times_times_real(X_10,X_10)=power_power_real(X_10,number_number_of_nat(bit0(bit1(pls)))). % 7.37/7.41 0 [] times_times_nat(X_10,X_10)=power_power_nat(X_10,number_number_of_nat(bit0(bit1(pls)))). % 7.37/7.41 0 [] times_times_int(X_10,X_10)=power_power_int(X_10,number_number_of_nat(bit0(bit1(pls)))). % 7.37/7.41 0 [] zcong(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.41 0 [] zcong(X,zero_zero_int,P)| -zcong(power_power_int(Y,number_number_of_nat(bit0(bit1(pls)))),X,P)| -dvd_dvd_int(P,Y). % 7.37/7.41 0 [] -is_int(P_1)| -zprime(P_1)|ord_less_int(one_one_int,P_1). % 7.37/7.41 0 [] -is_int(P_1)| -zprime(P_1)| -is_int(M_8)| -ord_less_e_q_int(zero_zero_int,M_8)| -dvd_dvd_int(M_8,P_1)|M_8=one_one_int|M_8=P_1. % 7.37/7.41 0 [] -is_int(P_1)|zprime(P_1)| -ord_less_int(one_one_int,P_1)|is_int($f1(P_1)). % 7.37/7.41 0 [] -is_int(P_1)|zprime(P_1)| -ord_less_int(one_one_int,P_1)|ord_less_e_q_int(zero_zero_int,$f1(P_1)). % 7.37/7.41 0 [] -is_int(P_1)|zprime(P_1)| -ord_less_int(one_one_int,P_1)|dvd_dvd_int($f1(P_1),P_1). % 7.37/7.41 0 [] -is_int(P_1)|zprime(P_1)| -ord_less_int(one_one_int,P_1)|$f1(P_1)!=one_one_int. % 7.37/7.41 0 [] -is_int(P_1)|zprime(P_1)| -ord_less_int(one_one_int,P_1)|$f1(P_1)!=P_1. % 7.37/7.41 0 [] -is_int(P)| -zprime(P)|P=number_number_of_int(bit0(bit1(pls)))|P=number_number_of_int(bit1(bit1(pls)))|ord_less_e_q_int(number_number_of_int(bit1(bit0(bit1(pls)))),P). % 7.37/7.41 0 [] ord_less_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls)))). % 7.37/7.41 0 [] is_int($c4). % 7.37/7.41 0 [] zcong(power_power_int($c4,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.37/7.41 0 [] legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))=one_one_int. % 7.37/7.41 0 [] bit1(min)=min. % 7.37/7.41 0 [] -is_int(L_1)|min!=bit1(L_1)|min=L_1. % 7.37/7.41 0 [] -is_int(L_1)|min=bit1(L_1)|min!=L_1. % 7.37/7.41 0 [] -is_int(K)|bit1(K)!=min|K=min. % 7.37/7.41 0 [] -is_int(K)|bit1(K)=min|K!=min. % 7.37/7.41 0 [] min!=pls. % 7.37/7.41 0 [] pls!=min. % 7.37/7.41 0 [] min!=bit0(L). % 7.37/7.41 0 [] bit0(K_1)!=min. % 7.37/7.41 0 [] -ord_less_int(min,min). % 7.37/7.41 0 [] ord_less_e_q_int(min,min). % 7.37/7.41 0 [] -ord_less_int(bit1(K),min)|ord_less_int(K,min). % 7.37/7.41 0 [] ord_less_int(bit1(K),min)| -ord_less_int(K,min). % 7.37/7.41 0 [] -ord_less_int(min,bit1(K))|ord_less_int(min,K). % 7.37/7.41 0 [] ord_less_int(min,bit1(K))| -ord_less_int(min,K). % 7.37/7.41 0 [] -ord_less_int(pls,min). % 7.37/7.41 0 [] ord_less_int(min,pls). % 7.37/7.41 0 [] -ord_less_int(min,bit0(K))|ord_less_int(min,K). % 7.37/7.41 0 [] ord_less_int(min,bit0(K))| -ord_less_int(min,K). % 7.37/7.41 0 [] ord_less_int(min,zero_zero_int). % 7.37/7.41 0 [] -ord_less_e_q_int(min,bit1(K))|ord_less_e_q_int(min,K). % 7.37/7.41 0 [] ord_less_e_q_int(min,bit1(K))| -ord_less_e_q_int(min,K). % 7.37/7.41 0 [] -ord_less_e_q_int(bit1(K),min)|ord_less_e_q_int(K,min). % 7.37/7.41 0 [] ord_less_e_q_int(bit1(K),min)| -ord_less_e_q_int(K,min). % 7.37/7.41 0 [] ord_less_e_q_int(min,pls). % 7.37/7.41 0 [] -ord_less_e_q_int(pls,min). % 7.37/7.41 0 [] -ord_less_e_q_int(bit0(K),min)|ord_less_e_q_int(K,min). % 7.37/7.41 0 [] ord_less_e_q_int(bit0(K),min)| -ord_less_e_q_int(K,min). % 7.37/7.41 0 [] number_number_of_int(pls)!=number_number_of_int(min). % 7.37/7.41 0 [] -ord_less_int(bit0(K),min)|ord_less_e_q_int(K,min). % 7.37/7.41 0 [] ord_less_int(bit0(K),min)| -ord_less_e_q_int(K,min). % 7.37/7.41 0 [] -ord_less_e_q_int(min,bit0(K))|ord_less_int(min,K). % 7.37/7.41 0 [] ord_less_e_q_int(min,bit0(K))| -ord_less_int(min,K). % 7.37/7.41 0 [] -is_int(Ma)| -is_int(N_1)|times_times_int(Ma,N_1)!=one_one_int|Ma=one_one_int|Ma=number_number_of_int(min). % 7.37/7.41 0 [] -is_int(Ma)| -is_int(N_1)|times_times_int(Ma,N_1)!=one_one_int|Ma=one_one_int|N_1=number_number_of_int(min). % 7.37/7.41 0 [] -is_int(Ma)| -is_int(N_1)|times_times_int(Ma,N_1)!=one_one_int|N_1=one_one_int|Ma=number_number_of_int(min). % 7.37/7.41 0 [] -is_int(Ma)| -is_int(N_1)|times_times_int(Ma,N_1)!=one_one_int|N_1=one_one_int|N_1=number_number_of_int(min). % 7.37/7.41 0 [] -is_int(Ma)| -is_int(N_1)|times_times_int(Ma,N_1)=one_one_int|Ma!=one_one_int|N_1!=one_one_int. % 7.37/7.41 0 [] -is_int(Ma)| -is_int(N_1)|times_times_int(Ma,N_1)=one_one_int|Ma!=number_number_of_int(min)|N_1!=number_number_of_int(min). % 7.37/7.41 0 [] -is_int(M)|times_times_int(M,N)!=one_one_int|M=one_one_int|M=number_number_of_int(min). % 7.37/7.41 0 [] -zcong(A_13,B_1,Ma)|zcong(B_1,A_13,Ma). % 7.37/7.41 0 [] zcong(A_13,B_1,Ma)| -zcong(B_1,A_13,Ma). % 7.37/7.41 0 [] zcong(K_1,K_1,M). % 7.37/7.41 0 [] -zcong(A,B,M)| -zcong(B,C,M)|zcong(A,C,M). % 7.37/7.41 0 [] -ord_less_e_q_real(X_9,Y_7)|X_9=Y_7|ord_less_real(X_9,Y_7). % 7.37/7.41 0 [] -ord_less_e_q_nat(X_9,Y_7)|X_9=Y_7|ord_less_nat(X_9,Y_7). % 7.37/7.41 0 [] -is_int(X_9)| -is_int(Y_7)| -ord_less_e_q_int(X_9,Y_7)|X_9=Y_7|ord_less_int(X_9,Y_7). % 7.37/7.41 0 [] -ord_less_int(A,C)| -ord_less_int(B,C)|ord_less_e_q_int(A,B)|ord_less_e_q_int(B,A). % 7.37/7.41 0 [] -is_int(A_13)| -is_int(B_1)| -zcong(A_13,B_1,zero_zero_int)|A_13=B_1. % 7.37/7.41 0 [] -is_int(A_13)| -is_int(B_1)|zcong(A_13,B_1,zero_zero_int)|A_13!=B_1. % 7.37/7.41 0 [] zcong(A,B,one_one_int). % 7.37/7.41 0 [] zcong(times_times_int(A,M),times_times_int(B,M),M). % 7.37/7.41 0 [] -zcong(A,B,M)|zcong(times_times_int(A,K_1),times_times_int(B,K_1),M). % 7.37/7.41 0 [] -zcong(A,B,M)|zcong(times_times_int(K_1,A),times_times_int(K_1,B),M). % 7.37/7.41 0 [] -zcong(A,B,M)| -zcong(C,D,M)|zcong(times_times_int(A,C),times_times_int(B,D),M). % 7.37/7.41 0 [] -zcong(A,B,M)| -zcong(C,D,M)|zcong(plus_plus_int(A,C),plus_plus_int(B,D),M). % 7.37/7.41 0 [] power_power_real(number267125858f_real(min),times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_31))=one_one_real. % 7.37/7.41 0 [] power_power_int(number_number_of_int(min),times_times_nat(number_number_of_nat(bit0(bit1(pls))),N_31))=one_one_int. % 7.37/7.41 0 [] -ord_less_int(zero_zero_int,A)| -ord_less_int(A,M)| -ord_less_int(zero_zero_int,B)| -ord_less_int(B,A)| -zcong(A,B,M). % 7.37/7.41 0 [] -is_int(B_1)| -zcong(A_13,B_1,Ma)|is_int($f2(A_13,B_1,Ma)). % 7.37/7.41 0 [] -is_int(B_1)| -zcong(A_13,B_1,Ma)|B_1=plus_plus_int(A_13,times_times_int(Ma,$f2(A_13,B_1,Ma))). % 7.37/7.41 0 [] -is_int(B_1)|zcong(A_13,B_1,Ma)| -is_int(K_2)|B_1!=plus_plus_int(A_13,times_times_int(Ma,K_2)). % 7.37/7.41 0 [] times_times_real(number267125858f_real(bit0(bit0(bit1(pls)))),power_power_real(X,number_number_of_nat(bit0(bit1(pls)))))=power_power_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X),number_number_of_nat(bit0(bit1(pls)))). % 7.37/7.41 0 [] -is_int(A)| -ord_less_e_q_int(zero_zero_int,A)| -ord_less_int(A,M)| -zcong(A,zero_zero_int,M)|A=zero_zero_int. % 7.37/7.41 0 [] -is_int(B)| -is_int(A)| -ord_less_e_q_int(zero_zero_int,A)| -ord_less_int(A,M)| -ord_less_e_q_int(zero_zero_int,B)| -ord_less_int(B,M)| -zcong(A,B,M)|A=B. % 7.37/7.41 0 [] -zcong(power_power_int(X,Y),one_one_int,P)|zcong(power_power_int(X,times_times_nat(Y,Z)),one_one_int,P). % 7.37/7.41 0 [] -ord_less_e_q_int(zero_zero_int,M)| -zprime(P)| -dvd_dvd_int(P,times_times_int(M,N))|dvd_dvd_int(P,M)|dvd_dvd_int(P,N). % 7.37/7.41 0 [] quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),number_number_of_int(min)). % 7.37/7.41 0 [] dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),minus_minus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min))). % 7.37/7.41 0 [] -ord_less_int(number_number_of_int(bit0(bit1(pls))),M)| -zcong(power_power_int(number_number_of_int(min),J),power_power_int(number_number_of_int(min),K_1),M)|power_power_int(number_number_of_int(min),J)=power_power_int(number_number_of_int(min),K_1). % 7.37/7.41 0 [] -ord_less_int(number_number_of_int(bit0(bit1(pls))),P)| -zcong(X,number_number_of_int(min),P)| -zcong(X,one_one_int,P). % 7.37/7.41 0 [] minus_minus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),number_number_of_int(min))=plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int). % 7.37/7.41 0 [] quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),number_number_of_int(min))|legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))!=one_one_int. % 7.37/7.41 0 [] ord_less_real(zero_zero_real,times_times_real(X_2,X_2))|X_2=zero_zero_real. % 7.37/7.41 0 [] -ord_less_real(zero_zero_real,times_times_real(X_2,X_2))|X_2!=zero_zero_real. % 7.37/7.41 0 [] -zcong(A,B,M)| -zcong(C,D,M)|zcong(minus_minus_int(A,C),minus_minus_int(B,D),M). % 7.37/7.41 0 [] -dvd_dvd_int(K_1,minus_minus_int(M,N))| -dvd_dvd_int(K_1,N)|dvd_dvd_int(K_1,M). % 7.37/7.41 0 [] times_times_int(W,minus_minus_int(Z1,Z2))=minus_minus_int(times_times_int(W,Z1),times_times_int(W,Z2)). % 7.37/7.41 0 [] times_times_int(minus_minus_int(Z1,Z2),W)=minus_minus_int(times_times_int(Z1,W),times_times_int(Z2,W)). % 7.37/7.41 0 [] minus_minus_int(bit0(K_1),bit0(L))=bit0(minus_minus_int(K_1,L)). % 7.37/7.41 0 [] -is_int(K_1)|minus_minus_int(K_1,pls)=K_1. % 7.37/7.41 0 [] -is_int(A)|minus_minus_int(A,B)!=C|A=plus_plus_int(C,B). % 7.37/7.41 0 [] number267125858f_real(minus_minus_int(V_3,W_3))=minus_minus_real(number267125858f_real(V_3),number267125858f_real(W_3)). % 7.37/7.41 0 [] number_number_of_int(minus_minus_int(V_3,W_3))=minus_minus_int(number_number_of_int(V_3),number_number_of_int(W_3)). % 7.37/7.41 0 [] times_times_real(number267125858f_real(V_2),minus_minus_real(B_10,C_4))=minus_minus_real(times_times_real(number267125858f_real(V_2),B_10),times_times_real(number267125858f_real(V_2),C_4)). % 7.37/7.41 0 [] times_times_int(number_number_of_int(V_2),minus_minus_int(B_10,C_4))=minus_minus_int(times_times_int(number_number_of_int(V_2),B_10),times_times_int(number_number_of_int(V_2),C_4)). % 7.37/7.41 0 [] times_times_real(minus_minus_real(A_26,B_9),number267125858f_real(V_1))=minus_minus_real(times_times_real(A_26,number267125858f_real(V_1)),times_times_real(B_9,number267125858f_real(V_1))). % 7.37/7.41 0 [] times_times_int(minus_minus_int(A_26,B_9),number_number_of_int(V_1))=minus_minus_int(times_times_int(A_26,number_number_of_int(V_1)),times_times_int(B_9,number_number_of_int(V_1))). % 7.37/7.41 0 [] minus_minus_int(bit1(K_1),bit0(L))=bit1(minus_minus_int(K_1,L)). % 7.37/7.41 0 [] minus_minus_int(bit1(K_1),bit1(L))=bit0(minus_minus_int(K_1,L)). % 7.37/7.41 0 [] minus_minus_int(pls,bit0(L))=bit0(minus_minus_int(pls,L)). % 7.37/7.41 0 [] -ord_less_int(K,L_1)|ord_less_int(minus_minus_int(K,L_1),zero_zero_int). % 7.37/7.41 0 [] ord_less_int(K,L_1)| -ord_less_int(minus_minus_int(K,L_1),zero_zero_int). % 7.37/7.41 0 [] plus_plus_int(times_times_int(minus_minus_int(A,times_times_int(R,B)),M),times_times_int(minus_minus_int(C,times_times_int(R,D)),N))=minus_minus_int(plus_plus_int(times_times_int(A,M),times_times_int(C,N)),times_times_int(R,plus_plus_int(times_times_int(B,M),times_times_int(D,N)))). % 7.37/7.41 0 [] -zcong(A_13,B_1,Ma)|dvd_dvd_int(Ma,minus_minus_int(A_13,B_1)). % 7.37/7.41 0 [] zcong(A_13,B_1,Ma)| -dvd_dvd_int(Ma,minus_minus_int(A_13,B_1)). % 7.37/7.41 0 [] plus_plus_real(number267125858f_real(V),minus_minus_real(number267125858f_real(W_2),C_3))=minus_minus_real(number267125858f_real(plus_plus_int(V,W_2)),C_3). % 7.37/7.41 0 [] plus_plus_int(number_number_of_int(V),minus_minus_int(number_number_of_int(W_2),C_3))=minus_minus_int(number_number_of_int(plus_plus_int(V,W_2)),C_3). % 7.37/7.41 0 [] -is_int(X)| -ord_less_int(zero_zero_int,X)| -ord_less_int(X,A)|X=minus_minus_int(A,one_one_int)|ord_less_int(X,minus_minus_int(A,one_one_int)). % 7.37/7.41 0 [] -ord_less_e_q_int(W_1,minus_minus_int(Z_1,one_one_int))|ord_less_int(W_1,Z_1). % 7.37/7.41 0 [] ord_less_e_q_int(W_1,minus_minus_int(Z_1,one_one_int))| -ord_less_int(W_1,Z_1). % 7.37/7.41 0 [] minus_minus_int(pls,bit1(L))=bit1(minus_minus_int(min,L)). % 7.37/7.41 0 [] minus_minus_int(min,bit1(L))=bit0(minus_minus_int(min,L)). % 7.37/7.41 0 [] minus_minus_int(min,bit0(L))=bit1(minus_minus_int(min,L)). % 7.37/7.41 0 [] -zcong(times_times_int(A_13,minus_minus_int(P_1,one_one_int)),one_one_int,P_1)|zcong(A_13,minus_minus_int(P_1,one_one_int),P_1). % 7.37/7.41 0 [] zcong(times_times_int(A_13,minus_minus_int(P_1,one_one_int)),one_one_int,P_1)| -zcong(A_13,minus_minus_int(P_1,one_one_int),P_1). % 7.37/7.41 0 [] -zcong(A,B,M)|B!=C| -zcong(C,D,M)|zcong(A,D,M). % 7.37/7.41 0 [] -is_int(A)| -zprime(P)| -ord_less_int(zero_zero_int,A)| -ord_less_int(A,P)| -zcong(times_times_int(A,A),one_one_int,P)|A=one_one_int|A=minus_minus_int(P,one_one_int). % 7.37/7.41 0 [] -zprime(P)| -ord_less_int(zero_zero_int,A)| -zcong(times_times_int(A,A),one_one_int,P)|zcong(A,one_one_int,P)|zcong(A,minus_minus_int(P,one_one_int),P). % 7.37/7.41 0 [] times_times_int(plus_plus_int(A,B),minus_minus_int(A,B))=minus_minus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.41 0 [] zcong(M,zero_zero_int,M). % 7.37/7.41 0 [] -zcong(A_13,B_1,Ma)| -zcong(C_1,times_times_int(D_2,A_13),Ma)|zcong(C_1,times_times_int(D_2,B_1),Ma). % 7.37/7.41 0 [] -zcong(A_13,B_1,Ma)|zcong(C_1,times_times_int(D_2,A_13),Ma)| -zcong(C_1,times_times_int(D_2,B_1),Ma). % 7.37/7.41 0 [] -zcong(A_13,B_1,Ma)| -zcong(C_1,times_times_int(A_13,D_2),Ma)|zcong(C_1,times_times_int(B_1,D_2),Ma). % 7.37/7.41 0 [] -zcong(A_13,B_1,Ma)|zcong(C_1,times_times_int(A_13,D_2),Ma)| -zcong(C_1,times_times_int(B_1,D_2),Ma). % 7.37/7.41 0 [] -zcong(A,B,M)|zcong(plus_plus_int(A,C),plus_plus_int(B,C),M). % 7.37/7.41 0 [] -zcong(X,Y,M)|zcong(power_power_int(X,Z),power_power_int(Y,Z),M). % 7.37/7.41 0 [] power_power_real(minus_minus_real(X_8,Y_6),number_number_of_nat(bit0(bit1(pls))))=minus_minus_real(plus_plus_real(power_power_real(X_8,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_6,number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X_8),Y_6)). % 7.37/7.41 0 [] power_power_int(minus_minus_int(X_8,Y_6),number_number_of_nat(bit0(bit1(pls))))=minus_minus_int(plus_plus_int(power_power_int(X_8,number_number_of_nat(bit0(bit1(pls)))),power_power_int(Y_6,number_number_of_nat(bit0(bit1(pls))))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),X_8),Y_6)). % 7.37/7.41 0 [] power_power_int(minus_minus_int(A,B),number_number_of_nat(bit0(bit1(pls))))=plus_plus_int(minus_minus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B)),power_power_int(B,number_number_of_nat(bit0(bit1(pls))))). % 7.37/7.41 0 [] power_power_int(minus_minus_int(A,B),number_number_of_nat(bit1(bit1(pls))))=minus_minus_int(plus_plus_int(minus_minus_int(power_power_int(A,number_number_of_nat(bit1(bit1(pls)))),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),power_power_int(A,number_number_of_nat(bit0(bit1(pls))))),B)),times_times_int(times_times_int(number_number_of_int(bit1(bit1(pls))),A),power_power_int(B,number_number_of_nat(bit0(bit1(pls)))))),power_power_int(B,number_number_of_nat(bit1(bit1(pls))))). % 7.37/7.41 0 [] -is_int(Y)| -is_int(X)| -ord_less_int(zero_zero_int,X)| -ord_less_int(zero_zero_int,Y)| -ord_less_int(zero_zero_int,M)| -zcong(X,Y,M)| -ord_less_int(X,M)| -ord_less_int(Y,M)|X=Y. % 7.37/7.41 0 [] -ord_less_int(zero_zero_int,X)| -ord_less_int(X,M)| -zcong(X,zero_zero_int,M). % 7.37/7.41 0 [] -dvd_dvd_int(N,M)|ord_less_e_q_int(M,zero_zero_int)|ord_less_e_q_int(N,M). % 7.37/7.41 0 [] -zcong(A_13,zero_zero_int,Ma)|dvd_dvd_int(Ma,A_13). % 7.37/7.41 0 [] zcong(A_13,zero_zero_int,Ma)| -dvd_dvd_int(Ma,A_13). % 7.37/7.41 0 [] -zcong(X_2,zero_zero_int,P_1)|dvd_dvd_int(P_1,X_2). % 7.37/7.41 0 [] zcong(X_2,zero_zero_int,P_1)| -dvd_dvd_int(P_1,X_2). % 7.37/7.41 0 [] -zprime(P)| -dvd_dvd_int(P,times_times_int(M,N))|dvd_dvd_int(P,M)|dvd_dvd_int(P,N). % 7.37/7.41 0 [] -is_int(X)| -ord_less_e_q_int(zero_zero_int,X)| -ord_less_int(X,M)| -zcong(X,zero_zero_int,M)|X=zero_zero_int. % 7.37/7.41 0 [] -ord_less_nat(zero_zero_nat,N)| -dvd_dvd_int(P,Y)|dvd_dvd_int(P,power_power_int(Y,N)). % 7.37/7.41 0 [] power_power_int(number_number_of_int(min),N)=one_one_int|power_power_int(number_number_of_int(min),N)=number_number_of_int(min). % 7.37/7.41 0 [] -zprime(P)|zcong(X,zero_zero_int,P)|zcong(Y,zero_zero_int,P)| -zcong(times_times_int(X,Y),zero_zero_int,P). % 7.37/7.41 0 [] -zprime(P)| -ord_less_int(zero_zero_int,A)|zcong(A,zero_zero_int,P)|zcong(B,zero_zero_int,P)| -zcong(times_times_int(A,B),zero_zero_int,P). % 7.37/7.41 0 [] -zprime(P)| -ord_less_int(zero_zero_int,A)| -zcong(times_times_int(A,B),zero_zero_int,P)|zcong(A,zero_zero_int,P)|zcong(B,zero_zero_int,P). % 7.37/7.41 0 [] -zprime(P)| -dvd_dvd_int(P,power_power_int(Y,N))| -ord_less_nat(zero_zero_nat,N)|dvd_dvd_int(P,Y). % 7.37/7.41 0 [] -zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),M),one_one_int))|legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),M),one_one_int))=one_one_int. % 7.37/7.41 0 [] -ord_less_int(number_number_of_int(bit0(bit1(pls))),M)| -zcong(one_one_int,number_number_of_int(min),M). % 7.37/7.41 0 [] -zcong(A,zero_zero_int,P)|legendre(A,P)=zero_zero_int. % 7.37/7.41 0 [] zcong(A,zero_zero_int,P)| -quadRes(P,A)|legendre(A,P)=one_one_int. % 7.37/7.41 0 [] zcong(A,zero_zero_int,P)|quadRes(P,A)|legendre(A,P)=number_number_of_int(min). % 7.37/7.41 0 [] -quadRes(Ma,X_2)|is_int($f3(Ma,X_2)). % 7.37/7.41 0 [] -quadRes(Ma,X_2)|zcong(power_power_int($f3(Ma,X_2),number_number_of_nat(bit0(bit1(pls)))),X_2,Ma). % 7.37/7.41 0 [] quadRes(Ma,X_2)| -is_int(Y_1)| -zcong(power_power_int(Y_1,number_number_of_nat(bit0(bit1(pls)))),X_2,Ma). % 7.37/7.41 0 [] power_power_real(plus_plus_real(X,Y),number_number_of_nat(bit0(bit1(pls))))=plus_plus_real(plus_plus_real(power_power_real(X,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y,number_number_of_nat(bit0(bit1(pls))))),times_times_real(times_times_real(number267125858f_real(bit0(bit1(pls))),X),Y)). % 7.37/7.41 0 [] M!=zero_zero_nat|times_times_nat(M,N)=zero_zero_nat. % 7.37/7.41 0 [] M=zero_zero_nat|times_times_nat(M,N)=plus_plus_nat(N,times_times_nat(minus_minus_nat(M,one_one_nat),N)). % 7.37/7.41 0 [] M!=zero_zero_nat|power_power_nat(P,M)=one_one_nat. % 7.37/7.41 0 [] M=zero_zero_nat|power_power_nat(P,M)=times_times_nat(P,power_power_nat(P,minus_minus_nat(M,one_one_nat))). % 7.37/7.41 0 [] minus_minus_nat(power_power_nat(X,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(Y,number_number_of_nat(bit0(bit1(pls)))))=times_times_nat(plus_plus_nat(X,Y),minus_minus_nat(X,Y)). % 7.37/7.41 0 [] plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|X_2=zero_zero_real. % 7.37/7.41 0 [] plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|Y_2=zero_zero_real. % 7.37/7.41 0 [] plus_plus_real(power_power_real(X_2,number_number_of_nat(bit0(bit1(pls)))),power_power_real(Y_2,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|X_2!=zero_zero_real|Y_2!=zero_zero_real. % 7.37/7.41 0 [] zero_zero_real!=one_one_real. % 7.37/7.41 0 [] -ord_less_e_q_real(X_2,Y_2)|ord_less_e_q_real(minus_minus_real(X_2,Y_2),zero_zero_real). % 7.37/7.41 0 [] ord_less_e_q_real(X_2,Y_2)| -ord_less_e_q_real(minus_minus_real(X_2,Y_2),zero_zero_real). % 7.37/7.41 0 [] -ord_less_real(X_2,Y_2)|ord_less_e_q_real(X_2,Y_2). % 7.37/7.41 0 [] -ord_less_real(X_2,Y_2)|X_2!=Y_2. % 7.37/7.41 0 [] ord_less_real(X_2,Y_2)| -ord_less_e_q_real(X_2,Y_2)|X_2=Y_2. % 7.37/7.41 0 [] -ord_less_e_q_real(X_2,Y_2)|ord_less_real(X_2,Y_2)|X_2=Y_2. % 7.37/7.41 0 [] ord_less_e_q_real(X_2,Y_2)| -ord_less_real(X_2,Y_2). % 7.37/7.41 0 [] ord_less_e_q_real(X_2,Y_2)|X_2!=Y_2. % 7.37/7.41 0 [] times_times_real(times_times_real(Z1,Z2),Z3)=times_times_real(Z1,times_times_real(Z2,Z3)). % 7.37/7.41 0 [] times_times_real(Z,W)=times_times_real(W,Z). % 7.37/7.41 0 [] times_times_real(one_one_real,Z)=Z. % 7.37/7.41 0 [] -ord_less_e_q_real(X,Y)|ord_less_e_q_real(plus_plus_real(Z,X),plus_plus_real(Z,Y)). % 7.37/7.41 0 [] minus_minus_real(plus_plus_real(A_25,C_2),plus_plus_real(B_8,D_1))=plus_plus_real(minus_minus_real(A_25,B_8),minus_minus_real(C_2,D_1)). % 7.37/7.41 0 [] minus_minus_int(plus_plus_int(A_25,C_2),plus_plus_int(B_8,D_1))=plus_plus_int(minus_minus_int(A_25,B_8),minus_minus_int(C_2,D_1)). % 7.37/7.41 0 [] C_1=zero_zero_real|times_times_real(C_1,A_13)!=times_times_real(C_1,B_1)|A_13=B_1. % 7.37/7.41 0 [] C_1=zero_zero_real|times_times_real(C_1,A_13)=times_times_real(C_1,B_1)|A_13!=B_1. % 7.37/7.41 0 [] C_1=zero_zero_real|times_times_real(A_13,C_1)!=times_times_real(B_1,C_1)|A_13=B_1. % 7.37/7.41 0 [] C_1=zero_zero_real|times_times_real(A_13,C_1)=times_times_real(B_1,C_1)|A_13!=B_1. % 7.37/7.41 0 [] times_times_nat(N_1,Ma)!=one_one_nat|N_1=one_one_nat. % 7.37/7.41 0 [] times_times_nat(N_1,Ma)!=one_one_nat|Ma=one_one_nat. % 7.37/7.41 0 [] times_times_nat(N_1,Ma)=one_one_nat|N_1!=one_one_nat|Ma!=one_one_nat. % 7.37/7.41 0 [] times_times_real(plus_plus_real(Z1,Z2),W)=plus_plus_real(times_times_real(Z1,W),times_times_real(Z2,W)). % 7.37/7.41 0 [] power_power_nat(Ma,N_1)!=zero_zero_nat|N_1!=zero_zero_nat. % 7.37/7.41 0 [] power_power_nat(Ma,N_1)!=zero_zero_nat|Ma=zero_zero_nat. % 7.37/7.41 0 [] power_power_nat(Ma,N_1)=zero_zero_nat|N_1=zero_zero_nat|Ma!=zero_zero_nat. % 7.37/7.41 0 [] minus_minus_real(times_times_real(X_7,Y_5),times_times_real(A_24,B_7))=plus_plus_real(times_times_real(X_7,minus_minus_real(Y_5,B_7)),times_times_real(minus_minus_real(X_7,A_24),B_7)). % 7.37/7.41 0 [] minus_minus_int(times_times_int(X_7,Y_5),times_times_int(A_24,B_7))=plus_plus_int(times_times_int(X_7,minus_minus_int(Y_5,B_7)),times_times_int(minus_minus_int(X_7,A_24),B_7)). % 7.37/7.41 0 [] -ord_less_real(zero_zero_real,Z_1)| -ord_less_e_q_real(times_times_real(X_2,Z_1),times_times_real(Y_2,Z_1))|ord_less_e_q_real(X_2,Y_2). % 7.37/7.41 0 [] -ord_less_real(zero_zero_real,Z_1)|ord_less_e_q_real(times_times_real(X_2,Z_1),times_times_real(Y_2,Z_1))| -ord_less_e_q_real(X_2,Y_2). % 7.37/7.41 0 [] -ord_less_real(zero_zero_real,Z_1)| -ord_less_e_q_real(times_times_real(Z_1,X_2),times_times_real(Z_1,Y_2))|ord_less_e_q_real(X_2,Y_2). % 7.37/7.41 0 [] -ord_less_real(zero_zero_real,Z_1)|ord_less_e_q_real(times_times_real(Z_1,X_2),times_times_real(Z_1,Y_2))| -ord_less_e_q_real(X_2,Y_2). % 7.37/7.41 0 [] -ord_less_real(zero_zero_real,Z)| -ord_less_real(X,Y)|ord_less_real(times_times_real(Z,X),times_times_real(Z,Y)). % 7.37/7.41 0 [] -ord_less_real(zero_zero_real,X)| -ord_less_real(zero_zero_real,Y)|ord_less_real(zero_zero_real,times_times_real(X,Y)). % 7.37/7.41 0 [] -ord_less_real(zero_zero_real,Z_1)| -ord_less_real(times_times_real(X_2,Z_1),times_times_real(Y_2,Z_1))|ord_less_real(X_2,Y_2). % 7.37/7.41 0 [] -ord_less_real(zero_zero_real,Z_1)|ord_less_real(times_times_real(X_2,Z_1),times_times_real(Y_2,Z_1))| -ord_less_real(X_2,Y_2). % 7.37/7.41 0 [] plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2))!=zero_zero_real|X_2=zero_zero_real. % 7.37/7.41 0 [] plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2))!=zero_zero_real|Y_2=zero_zero_real. % 7.37/7.41 0 [] plus_plus_real(times_times_real(X_2,X_2),times_times_real(Y_2,Y_2))=zero_zero_real|X_2!=zero_zero_real|Y_2!=zero_zero_real. % 7.37/7.41 0 [] power_power_nat(X_2,N_1)!=one_one_nat|X_2=one_one_nat|N_1=zero_zero_nat. % 7.37/7.41 0 [] power_power_nat(X_2,N_1)=one_one_nat|X_2!=one_one_nat. % 7.37/7.41 0 [] power_power_nat(X_2,N_1)=one_one_nat|N_1!=zero_zero_nat. % 7.37/7.41 0 [] minus_minus_real(times_times_real(X_6,X_6),one_one_real)=times_times_real(plus_plus_real(X_6,one_one_real),minus_minus_real(X_6,one_one_real)). % 7.37/7.41 0 [] minus_minus_int(times_times_int(X_6,X_6),one_one_int)=times_times_int(plus_plus_int(X_6,one_one_int),minus_minus_int(X_6,one_one_int)). % 7.37/7.41 0 [] -ord_less_nat(zero_zero_nat,N_30)|times_times_real(power_power_real(X_5,minus_minus_nat(N_30,one_one_nat)),X_5)=power_power_real(X_5,N_30). % 7.37/7.41 0 [] -ord_less_nat(zero_zero_nat,N_30)|times_times_nat(power_power_nat(X_5,minus_minus_nat(N_30,one_one_nat)),X_5)=power_power_nat(X_5,N_30). % 7.37/7.41 0 [] -ord_less_nat(zero_zero_nat,N_30)|times_times_int(power_power_int(X_5,minus_minus_nat(N_30,one_one_nat)),X_5)=power_power_int(X_5,N_30). % 7.37/7.41 0 [] ord_less_e_q_real(one_one_real,power_power_real(number267125858f_real(bit0(bit1(pls))),N)). % 7.37/7.41 0 [] N_29!=zero_zero_nat|power_power_real(M_7,N_29)=one_one_real. % 7.37/7.41 0 [] N_29=zero_zero_nat|power_power_real(M_7,N_29)=times_times_real(M_7,power_power_real(M_7,minus_minus_nat(N_29,one_one_nat))). % 7.37/7.41 0 [] N_29!=zero_zero_nat|power_power_nat(M_7,N_29)=one_one_nat. % 7.37/7.41 0 [] N_29=zero_zero_nat|power_power_nat(M_7,N_29)=times_times_nat(M_7,power_power_nat(M_7,minus_minus_nat(N_29,one_one_nat))). % 7.37/7.41 0 [] N_29!=zero_zero_nat|power_power_int(M_7,N_29)=one_one_int. % 7.37/7.41 0 [] N_29=zero_zero_nat|power_power_int(M_7,N_29)=times_times_int(M_7,power_power_int(M_7,minus_minus_nat(N_29,one_one_nat))). % 7.37/7.41 0 [] -ord_less_real(A_23,B_6)| -ord_less_e_q_real(zero_zero_real,A_23)| -ord_less_nat(zero_zero_nat,N_28)|ord_less_real(power_power_real(A_23,N_28),power_power_real(B_6,N_28)). % 7.37/7.41 0 [] -ord_less_nat(A_23,B_6)| -ord_less_e_q_nat(zero_zero_nat,A_23)| -ord_less_nat(zero_zero_nat,N_28)|ord_less_nat(power_power_nat(A_23,N_28),power_power_nat(B_6,N_28)). % 7.37/7.41 0 [] -ord_less_int(A_23,B_6)| -ord_less_e_q_int(zero_zero_int,A_23)| -ord_less_nat(zero_zero_nat,N_28)|ord_less_int(power_power_int(A_23,N_28),power_power_int(B_6,N_28)). % 7.37/7.41 0 [] ord_less_e_q_real(W,W). % 7.37/7.41 0 [] ord_less_e_q_real(Z,W)|ord_less_e_q_real(W,Z). % 7.37/7.41 0 [] -ord_less_e_q_real(I,J)| -ord_less_e_q_real(J,K_1)|ord_less_e_q_real(I,K_1). % 7.37/7.41 0 [] -ord_less_e_q_real(Z,W)| -ord_less_e_q_real(W,Z)|Z=W. % 7.37/7.41 0 [] A_22=zero_zero_real|power_power_real(A_22,N_27)!=zero_zero_real. % 7.37/7.41 0 [] -is_int(A_22)|A_22=zero_zero_int|power_power_int(A_22,N_27)!=zero_zero_int. % 7.37/7.41 0 [] power_power_real(times_times_real(A_21,B_5),N_26)=times_times_real(power_power_real(A_21,N_26),power_power_real(B_5,N_26)). % 7.37/7.41 0 [] power_power_nat(times_times_nat(A_21,B_5),N_26)=times_times_nat(power_power_nat(A_21,N_26),power_power_nat(B_5,N_26)). % 7.37/7.41 0 [] power_power_int(times_times_int(A_21,B_5),N_26)=times_times_int(power_power_int(A_21,N_26),power_power_int(B_5,N_26)). % 7.37/7.41 0 [] times_times_real(power_power_real(A_20,N_25),A_20)=times_times_real(A_20,power_power_real(A_20,N_25)). % 7.37/7.41 0 [] times_times_nat(power_power_nat(A_20,N_25),A_20)=times_times_nat(A_20,power_power_nat(A_20,N_25)). % 7.37/7.41 0 [] times_times_int(power_power_int(A_20,N_25),A_20)=times_times_int(A_20,power_power_int(A_20,N_25)). % 7.37/7.41 0 [] power_power_real(one_one_real,N_24)=one_one_real. % 7.37/7.41 0 [] power_power_nat(one_one_nat,N_24)=one_one_nat. % 7.37/7.41 0 [] power_power_int(one_one_int,N_24)=one_one_int. % 7.37/7.41 0 [] -dvd_dvd_nat(X_4,Y_4)|dvd_dvd_nat(power_power_nat(X_4,N_23),power_power_nat(Y_4,N_23)). % 7.37/7.41 0 [] -dvd_dvd_int(X_4,Y_4)|dvd_dvd_int(power_power_int(X_4,N_23),power_power_int(Y_4,N_23)). % 7.37/7.41 0 [] -dvd_dvd_real(X_4,Y_4)|dvd_dvd_real(power_power_real(X_4,N_23),power_power_real(Y_4,N_23)). % 7.37/7.41 0 [] power_power_real(A_19,times_times_nat(M_6,N_22))=power_power_real(power_power_real(A_19,M_6),N_22). % 7.37/7.41 0 [] power_power_nat(A_19,times_times_nat(M_6,N_22))=power_power_nat(power_power_nat(A_19,M_6),N_22). % 7.37/7.41 0 [] power_power_int(A_19,times_times_nat(M_6,N_22))=power_power_int(power_power_int(A_19,M_6),N_22). % 7.37/7.41 0 [] power_power_real(A_18,one_one_nat)=A_18. % 7.37/7.41 0 [] power_power_nat(A_18,one_one_nat)=A_18. % 7.37/7.41 0 [] -is_int(A_18)|power_power_int(A_18,one_one_nat)=A_18. % 7.37/7.41 0 [] -ord_less_e_q_real(A_17,B_4)| -ord_less_e_q_real(zero_zero_real,A_17)|ord_less_e_q_real(power_power_real(A_17,N_21),power_power_real(B_4,N_21)). % 7.37/7.41 0 [] -ord_less_e_q_nat(A_17,B_4)| -ord_less_e_q_nat(zero_zero_nat,A_17)|ord_less_e_q_nat(power_power_nat(A_17,N_21),power_power_nat(B_4,N_21)). % 7.37/7.41 0 [] -ord_less_e_q_int(A_17,B_4)| -ord_less_e_q_int(zero_zero_int,A_17)|ord_less_e_q_int(power_power_int(A_17,N_21),power_power_int(B_4,N_21)). % 7.37/7.41 0 [] -ord_less_e_q_real(zero_zero_real,A_16)|ord_less_e_q_real(zero_zero_real,power_power_real(A_16,N_20)). % 7.37/7.41 0 [] -ord_less_e_q_nat(zero_zero_nat,A_16)|ord_less_e_q_nat(zero_zero_nat,power_power_nat(A_16,N_20)). % 7.37/7.41 0 [] -ord_less_e_q_int(zero_zero_int,A_16)|ord_less_e_q_int(zero_zero_int,power_power_int(A_16,N_20)). % 7.37/7.41 0 [] -ord_less_real(zero_zero_real,A_15)|ord_less_real(zero_zero_real,power_power_real(A_15,N_19)). % 7.37/7.41 0 [] -ord_less_nat(zero_zero_nat,A_15)|ord_less_nat(zero_zero_nat,power_power_nat(A_15,N_19)). % 7.37/7.41 0 [] -ord_less_int(zero_zero_int,A_15)|ord_less_int(zero_zero_int,power_power_int(A_15,N_19)). % 7.37/7.41 0 [] -ord_less_e_q_real(one_one_real,A_14)|ord_less_e_q_real(one_one_real,power_power_real(A_14,N_18)). % 7.37/7.41 0 [] -ord_less_e_q_nat(one_one_nat,A_14)|ord_less_e_q_nat(one_one_nat,power_power_nat(A_14,N_18)). % 7.37/7.41 0 [] -ord_less_e_q_int(one_one_int,A_14)|ord_less_e_q_int(one_one_int,power_power_int(A_14,N_18)). % 7.37/7.41 0 [] -ord_less_real(one_one_real,A_13)|power_power_real(A_13,Ma)!=power_power_real(A_13,N_1)|Ma=N_1. % 7.37/7.41 0 [] -ord_less_real(one_one_real,A_13)|power_power_real(A_13,Ma)=power_power_real(A_13,N_1)|Ma!=N_1. % 7.37/7.41 0 [] -ord_less_nat(one_one_nat,A_13)|power_power_nat(A_13,Ma)!=power_power_nat(A_13,N_1)|Ma=N_1. % 7.37/7.41 0 [] -ord_less_nat(one_one_nat,A_13)|power_power_nat(A_13,Ma)=power_power_nat(A_13,N_1)|Ma!=N_1. % 7.37/7.41 0 [] -ord_less_int(one_one_int,A_13)|power_power_int(A_13,Ma)!=power_power_int(A_13,N_1)|Ma=N_1. % 7.37/7.41 0 [] -ord_less_int(one_one_int,A_13)|power_power_int(A_13,Ma)=power_power_int(A_13,N_1)|Ma!=N_1. % 7.37/7.41 0 [] power_power_real(A_13,N_1)!=zero_zero_real|A_13=zero_zero_real. % 7.37/7.41 0 [] power_power_real(A_13,N_1)!=zero_zero_real|N_1!=zero_zero_nat. % 7.37/7.41 0 [] power_power_real(A_13,N_1)=zero_zero_real|A_13!=zero_zero_real|N_1=zero_zero_nat. % 7.37/7.41 0 [] power_power_nat(A_13,N_1)!=zero_zero_nat|A_13=zero_zero_nat. % 7.37/7.41 0 [] power_power_nat(A_13,N_1)!=zero_zero_nat|N_1!=zero_zero_nat. % 7.37/7.41 0 [] power_power_nat(A_13,N_1)=zero_zero_nat|A_13!=zero_zero_nat|N_1=zero_zero_nat. % 7.37/7.41 0 [] -is_int(A_13)|power_power_int(A_13,N_1)!=zero_zero_int|A_13=zero_zero_int. % 7.37/7.41 0 [] -is_int(A_13)|power_power_int(A_13,N_1)!=zero_zero_int|N_1!=zero_zero_nat. % 7.37/7.41 0 [] -is_int(A_13)|power_power_int(A_13,N_1)=zero_zero_int|A_13!=zero_zero_int|N_1=zero_zero_nat. % 7.37/7.41 0 [] power_power_real(A_12,zero_zero_nat)=one_one_real. % 7.37/7.41 0 [] power_power_nat(A_12,zero_zero_nat)=one_one_nat. % 7.37/7.41 0 [] power_power_int(A_12,zero_zero_nat)=one_one_int. % 7.37/7.41 0 [] power_power_real(A_11,plus_plus_nat(M_5,N_17))=times_times_real(power_power_real(A_11,M_5),power_power_real(A_11,N_17)). % 7.37/7.41 0 [] power_power_nat(A_11,plus_plus_nat(M_5,N_17))=times_times_nat(power_power_nat(A_11,M_5),power_power_nat(A_11,N_17)). % 7.37/7.41 0 [] power_power_int(A_11,plus_plus_nat(M_5,N_17))=times_times_int(power_power_int(A_11,M_5),power_power_int(A_11,N_17)). % 7.37/7.41 0 [] -dvd_dvd_nat(power_power_nat(A_10,N_16),B_3)| -ord_less_e_q_nat(M_4,N_16)|dvd_dvd_nat(power_power_nat(A_10,M_4),B_3). % 7.37/7.41 0 [] -dvd_dvd_int(power_power_int(A_10,N_16),B_3)| -ord_less_e_q_nat(M_4,N_16)|dvd_dvd_int(power_power_int(A_10,M_4),B_3). % 7.37/7.41 0 [] -dvd_dvd_real(power_power_real(A_10,N_16),B_3)| -ord_less_e_q_nat(M_4,N_16)|dvd_dvd_real(power_power_real(A_10,M_4),B_3). % 7.37/7.41 0 [] -dvd_dvd_nat(X_3,Y_3)| -ord_less_e_q_nat(N_15,M_3)|dvd_dvd_nat(power_power_nat(X_3,N_15),power_power_nat(Y_3,M_3)). % 7.37/7.41 0 [] -dvd_dvd_int(X_3,Y_3)| -ord_less_e_q_nat(N_15,M_3)|dvd_dvd_int(power_power_int(X_3,N_15),power_power_int(Y_3,M_3)). % 7.37/7.41 0 [] -dvd_dvd_real(X_3,Y_3)| -ord_less_e_q_nat(N_15,M_3)|dvd_dvd_real(power_power_real(X_3,N_15),power_power_real(Y_3,M_3)). % 7.37/7.41 0 [] -ord_less_e_q_nat(M_2,N_14)|dvd_dvd_nat(power_power_nat(A_9,M_2),power_power_nat(A_9,N_14)). % 7.37/7.41 0 [] -ord_less_e_q_nat(M_2,N_14)|dvd_dvd_int(power_power_int(A_9,M_2),power_power_int(A_9,N_14)). % 7.37/7.41 0 [] -ord_less_e_q_nat(M_2,N_14)|dvd_dvd_real(power_power_real(A_9,M_2),power_power_real(A_9,N_14)). % 7.37/7.41 0 [] -ord_less_nat(zero_zero_nat,I)| -ord_less_nat(power_power_nat(I,M),power_power_nat(I,N))|ord_less_nat(M,N). % 7.37/7.41 0 [] -ord_less_nat(zero_zero_nat,power_power_nat(X_2,N_1))|ord_less_nat(zero_zero_nat,X_2)|N_1=zero_zero_nat. % 7.37/7.41 0 [] ord_less_nat(zero_zero_nat,power_power_nat(X_2,N_1))| -ord_less_nat(zero_zero_nat,X_2). % 7.37/7.41 0 [] ord_less_nat(zero_zero_nat,power_power_nat(X_2,N_1))|N_1!=zero_zero_nat. % 7.37/7.41 0 [] -ord_less_real(power_power_real(A_8,N_13),power_power_real(B_2,N_13))| -ord_less_e_q_real(zero_zero_real,B_2)|ord_less_real(A_8,B_2). % 7.37/7.41 0 [] -ord_less_nat(power_power_nat(A_8,N_13),power_power_nat(B_2,N_13))| -ord_less_e_q_nat(zero_zero_nat,B_2)|ord_less_nat(A_8,B_2). % 7.37/7.41 0 [] -ord_less_int(power_power_int(A_8,N_13),power_power_int(B_2,N_13))| -ord_less_e_q_int(zero_zero_int,B_2)|ord_less_int(A_8,B_2). % 7.37/7.41 0 [] -ord_less_real(one_one_real,A_7)|ord_less_real(power_power_real(A_7,N_12),times_times_real(A_7,power_power_real(A_7,N_12))). % 7.37/7.41 0 [] -ord_less_nat(one_one_nat,A_7)|ord_less_nat(power_power_nat(A_7,N_12),times_times_nat(A_7,power_power_nat(A_7,N_12))). % 7.37/7.41 0 [] -ord_less_int(one_one_int,A_7)|ord_less_int(power_power_int(A_7,N_12),times_times_int(A_7,power_power_int(A_7,N_12))). % 7.37/7.41 0 [] -ord_less_real(one_one_real,A_6)|ord_less_real(one_one_real,times_times_real(A_6,power_power_real(A_6,N_11))). % 7.37/7.41 0 [] -ord_less_nat(one_one_nat,A_6)|ord_less_nat(one_one_nat,times_times_nat(A_6,power_power_nat(A_6,N_11))). % 7.37/7.41 0 [] -ord_less_int(one_one_int,A_6)|ord_less_int(one_one_int,times_times_int(A_6,power_power_int(A_6,N_11))). % 7.37/7.41 0 [] N_10!=zero_zero_nat|power_power_real(zero_zero_real,N_10)=one_one_real. % 7.37/7.41 0 [] N_10=zero_zero_nat|power_power_real(zero_zero_real,N_10)=zero_zero_real. % 7.37/7.41 0 [] N_10!=zero_zero_nat|power_power_nat(zero_zero_nat,N_10)=one_one_nat. % 7.37/7.41 0 [] N_10=zero_zero_nat|power_power_nat(zero_zero_nat,N_10)=zero_zero_nat. % 7.37/7.41 0 [] N_10!=zero_zero_nat|power_power_int(zero_zero_int,N_10)=one_one_int. % 7.37/7.41 0 [] N_10=zero_zero_nat|power_power_int(zero_zero_int,N_10)=zero_zero_int. % 7.37/7.41 0 [] -ord_less_nat(N_9,N_8)| -ord_less_real(one_one_real,A_5)|ord_less_real(power_power_real(A_5,N_9),power_power_real(A_5,N_8)). % 7.37/7.41 0 [] -ord_less_nat(N_9,N_8)| -ord_less_nat(one_one_nat,A_5)|ord_less_nat(power_power_nat(A_5,N_9),power_power_nat(A_5,N_8)). % 7.37/7.41 0 [] -ord_less_nat(N_9,N_8)| -ord_less_int(one_one_int,A_5)|ord_less_int(power_power_int(A_5,N_9),power_power_int(A_5,N_8)). % 7.37/7.41 0 [] -ord_less_real(one_one_real,A_4)| -ord_less_real(power_power_real(A_4,M_1),power_power_real(A_4,N_7))|ord_less_nat(M_1,N_7). % 7.37/7.41 0 [] -ord_less_nat(one_one_nat,A_4)| -ord_less_nat(power_power_nat(A_4,M_1),power_power_nat(A_4,N_7))|ord_less_nat(M_1,N_7). % 7.37/7.41 0 [] -ord_less_int(one_one_int,A_4)| -ord_less_int(power_power_int(A_4,M_1),power_power_int(A_4,N_7))|ord_less_nat(M_1,N_7). % 7.37/7.41 0 [] -ord_less_real(one_one_real,B_1)| -ord_less_real(power_power_real(B_1,X_2),power_power_real(B_1,Y_2))|ord_less_nat(X_2,Y_2). % 7.37/7.41 0 [] -ord_less_real(one_one_real,B_1)|ord_less_real(power_power_real(B_1,X_2),power_power_real(B_1,Y_2))| -ord_less_nat(X_2,Y_2). % 7.37/7.41 0 [] -ord_less_nat(one_one_nat,B_1)| -ord_less_nat(power_power_nat(B_1,X_2),power_power_nat(B_1,Y_2))|ord_less_nat(X_2,Y_2). % 7.37/7.41 0 [] -ord_less_nat(one_one_nat,B_1)|ord_less_nat(power_power_nat(B_1,X_2),power_power_nat(B_1,Y_2))| -ord_less_nat(X_2,Y_2). % 7.37/7.41 0 [] -ord_less_int(one_one_int,B_1)| -ord_less_int(power_power_int(B_1,X_2),power_power_int(B_1,Y_2))|ord_less_nat(X_2,Y_2). % 7.37/7.41 0 [] -ord_less_int(one_one_int,B_1)|ord_less_int(power_power_int(B_1,X_2),power_power_int(B_1,Y_2))| -ord_less_nat(X_2,Y_2). % 7.37/7.41 0 [] -ord_less_e_q_nat(N_6,N_5)| -ord_less_e_q_real(one_one_real,A_3)|ord_less_e_q_real(power_power_real(A_3,N_6),power_power_real(A_3,N_5)). % 7.37/7.41 0 [] -ord_less_e_q_nat(N_6,N_5)| -ord_less_e_q_nat(one_one_nat,A_3)|ord_less_e_q_nat(power_power_nat(A_3,N_6),power_power_nat(A_3,N_5)). % 7.37/7.41 0 [] -ord_less_e_q_nat(N_6,N_5)| -ord_less_e_q_int(one_one_int,A_3)|ord_less_e_q_int(power_power_int(A_3,N_6),power_power_int(A_3,N_5)). % 7.37/7.41 0 [] -ord_less_real(zero_zero_real,A_2)| -ord_less_real(A_2,one_one_real)|ord_less_real(times_times_real(A_2,power_power_real(A_2,N_4)),power_power_real(A_2,N_4)). % 7.37/7.41 0 [] -ord_less_nat(zero_zero_nat,A_2)| -ord_less_nat(A_2,one_one_nat)|ord_less_nat(times_times_nat(A_2,power_power_nat(A_2,N_4)),power_power_nat(A_2,N_4)). % 7.37/7.41 0 [] -ord_less_int(zero_zero_int,A_2)| -ord_less_int(A_2,one_one_int)|ord_less_int(times_times_int(A_2,power_power_int(A_2,N_4)),power_power_int(A_2,N_4)). % 7.37/7.41 0 [] -ord_less_nat(N_3,N_2)| -ord_less_int(zero_zero_int,A_1)| -ord_less_int(A_1,one_one_int)|ord_less_int(power_power_int(A_1,N_2),power_power_int(A_1,N_3)). % 7.37/7.41 0 [] -ord_less_nat(zero_zero_nat,N)| -ord_less_real(zero_zero_real,A)|ord_less_real(zero_zero_real,$f4(A,N)). % 7.37/7.41 0 [] -ord_less_nat(zero_zero_nat,N)| -ord_less_real(zero_zero_real,A)|power_power_real($f4(A,N),N)=A. % 7.37/7.41 0 [] -ord_less_nat(zero_zero_nat,N)| -ord_less_real(zero_zero_real,A)| -ord_less_real(zero_zero_real,Y_1)|power_power_real(Y_1,N)!=A|Y_1=$f4(A,N). % 7.37/7.41 0 [] -dvd_dvd_nat(A,B)|B=zero_zero_nat|ord_less_e_q_nat(A,B). % 7.37/7.41 0 [] -dvd_dvd_nat(X,Y)|dvd_dvd_nat(power_power_nat(X,N),power_power_nat(Y,N)). % 7.37/7.41 0 [] -dvd_dvd_nat(A,B)|dvd_dvd_nat(times_times_nat(C,A),times_times_nat(C,B)). % 7.37/7.41 0 [] -dvd_dvd_nat(A,B)|dvd_dvd_nat(times_times_nat(A,C),times_times_nat(B,C)). % 7.37/7.41 0 [] -dvd_dvd_nat(D,A)| -dvd_dvd_nat(D,plus_plus_nat(A,B))|dvd_dvd_nat(D,B). % 7.37/7.41 0 [] -dvd_dvd_nat(times_times_nat(Ma,K),times_times_nat(N_1,K))|K=zero_zero_nat|dvd_dvd_nat(Ma,N_1). % 7.37/7.41 0 [] dvd_dvd_nat(times_times_nat(Ma,K),times_times_nat(N_1,K))|K!=zero_zero_nat. % 7.37/7.41 0 [] dvd_dvd_nat(times_times_nat(Ma,K),times_times_nat(N_1,K))| -dvd_dvd_nat(Ma,N_1). % 7.37/7.41 0 [] -dvd_dvd_nat(power_power_nat(A,N),power_power_nat(B,N))|N=zero_zero_nat|dvd_dvd_nat(A,B). % 7.37/7.41 0 [] N=zero_zero_nat| -dvd_dvd_nat(power_power_nat(X,N),Y)|dvd_dvd_nat(X,Y). % 7.37/7.41 0 [] X!=plus_plus_nat(times_times_nat(Q,N),R)| -ord_less_nat(zero_zero_nat,R)| -ord_less_nat(R,N)| -dvd_dvd_nat(N,X). % 7.37/7.41 0 [] -dvd_dvd_nat(power_power_nat(I,M),power_power_nat(I,N))| -ord_less_nat(one_one_nat,I)|ord_less_e_q_nat(M,N). % 7.37/7.41 0 [] -dvd_dvd_nat(N,M)|M=zero_zero_nat|M=N|ord_less_e_q_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))),N),M). % 7.37/7.41 0 [] -ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int). % 7.37/7.41 end_of_list. % 7.37/7.41 % 7.37/7.41 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9. % 7.37/7.41 % 7.37/7.41 This ia a non-Horn set with equality. The strategy will be % 7.37/7.41 Knuth-Bendix, ordered hyper_res, factoring, and unit % 7.37/7.41 deletion, with positive clauses in sos and nonpositive % 7.37/7.41 clauses in usable. % 7.37/7.41 % 7.37/7.41 dependent: set(knuth_bendix). % 7.37/7.41 dependent: set(anl_eq). % 7.37/7.41 dependent: set(para_from). % 7.37/7.41 dependent: set(para_into). % 7.37/7.41 dependent: clear(para_from_right). % 7.37/7.41 dependent: clear(para_into_right). % 7.37/7.41 dependent: set(para_from_vars). % 7.37/7.41 dependent: set(eq_units_both_ways). % 7.37/7.41 dependent: set(dynamic_demod_all). % 7.37/7.41 dependent: set(dynamic_demod). % 7.37/7.41 dependent: set(order_eq). % 7.37/7.41 dependent: set(back_demod). % 7.37/7.41 dependent: set(lrpo). % 7.37/7.41 dependent: set(hyper_res). % 7.37/7.41 dependent: set(unit_deletion). % 7.37/7.41 dependent: set(factor). % 7.37/7.41 % 7.37/7.41 ------------> process usable: % 7.37/7.41 ** KEPT (pick-wt=8): 1 [] -is_int(A)| -is_int(B)|is_int(minus_minus_int(A,B)). % 7.37/7.41 ** KEPT (pick-wt=8): 2 [] -is_int(A)| -is_int(B)|is_int(plus_plus_int(A,B)). % 7.37/7.41 ** KEPT (pick-wt=8): 3 [] -is_int(A)| -is_int(B)|is_int(times_times_int(A,B)). % 7.37/7.41 ** KEPT (pick-wt=5): 4 [] -is_int(A)|is_int(bit0(A)). % 7.37/7.41 ** KEPT (pick-wt=5): 5 [] -is_int(A)|is_int(bit1(A)). % 7.37/7.41 ** KEPT (pick-wt=5): 6 [] -is_int(A)|is_int(number_number_of_int(A)). % 7.37/7.41 ** KEPT (pick-wt=6): 7 [] -is_int(A)|is_int(power_power_int(A,B)). % 7.37/7.41 ** KEPT (pick-wt=8): 8 [] -is_int(A)| -is_int(B)|is_int(legendre(A,B)). % 7.37/7.41 ** KEPT (pick-wt=13): 10 [copy,9,flip.1] zero_zero_int!=t|plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)=zero_zero_int. % 7.37/7.41 ** KEPT (pick-wt=3): 11 [] -ord_less_e_q_int(one_one_int,t). % 7.37/7.41 ** KEPT (pick-wt=15): 12 [] -ord_less_real(plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real). % 7.37/7.41 ** KEPT (pick-wt=15): 13 [] -ord_less_int(plus_plus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int). % 7.37/7.41 ** KEPT (pick-wt=21): 14 [] -ord_less_real(zero_zero_real,plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls))))))|A!=zero_zero_real|B!=zero_zero_real. % 7.37/7.41 ** KEPT (pick-wt=25): 15 [] -is_int(A)| -is_int(B)| -ord_less_int(zero_zero_int,plus_plus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls))))))|A!=zero_zero_int|B!=zero_zero_int. % 7.37/7.41 ** KEPT (pick-wt=22): 16 [] -is_int(A)| -is_int(B)|ord_less_int(zero_zero_int,plus_plus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls))))))|A=zero_zero_int. % 7.37/7.41 ** KEPT (pick-wt=22): 17 [] -is_int(A)| -is_int(B)|ord_less_int(zero_zero_int,plus_plus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls))))))|B=zero_zero_int. % 7.37/7.41 ** KEPT (pick-wt=18): 18 [] plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|A=zero_zero_real. % 7.37/7.41 ** KEPT (pick-wt=18): 19 [] plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|B=zero_zero_real. % 7.37/7.41 ** KEPT (pick-wt=21): 20 [] plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real. % 7.37/7.41 ** KEPT (pick-wt=22): 21 [] -is_int(A)| -is_int(B)|plus_plus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_int|A=zero_zero_int. % 7.37/7.41 ** KEPT (pick-wt=22): 22 [] -is_int(A)| -is_int(B)|plus_plus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_int|B=zero_zero_int. % 7.37/7.41 ** KEPT (pick-wt=25): 23 [] -is_int(A)| -is_int(B)|plus_plus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|A!=zero_zero_int|B!=zero_zero_int. % 7.37/7.41 ** KEPT (pick-wt=8): 24 [] -ord_less_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),zero_zero_real). % 7.37/7.41 ** KEPT (pick-wt=8): 25 [] -ord_less_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),zero_zero_int). % 7.37/7.41 ** KEPT (pick-wt=11): 26 [] -ord_less_real(zero_zero_real,power_power_real(A,number_number_of_nat(bit0(bit1(pls)))))|A!=zero_zero_real. % 7.37/7.41 ** KEPT (pick-wt=13): 27 [] -is_int(A)| -ord_less_int(zero_zero_int,power_power_int(A,number_number_of_nat(bit0(bit1(pls)))))|A!=zero_zero_int. % 7.37/7.41 ** KEPT (pick-wt=13): 28 [] -is_int(A)|ord_less_int(zero_zero_int,power_power_int(A,number_number_of_nat(bit0(bit1(pls)))))|A=zero_zero_int. % 7.37/7.41 ** KEPT (pick-wt=11): 29 [] power_power_real(A,number_number_of_nat(bit0(bit1(pls))))!=zero_zero_real|A=zero_zero_real. % 7.37/7.41 ** KEPT (pick-wt=11): 30 [] power_power_real(A,number_number_of_nat(bit0(bit1(pls))))=zero_zero_real|A!=zero_zero_real. % 7.37/7.41 ** KEPT (pick-wt=13): 31 [] -is_int(A)|power_power_int(A,number_number_of_nat(bit0(bit1(pls))))!=zero_zero_int|A=zero_zero_int. % 7.37/7.41 ** KEPT (pick-wt=13): 32 [] -is_int(A)|power_power_int(A,number_number_of_nat(bit0(bit1(pls))))=zero_zero_int|A!=zero_zero_int. % 7.37/7.41 ** KEPT (pick-wt=6): 33 [] -is_int(A)|number_number_of_int(A)=A. % 7.37/7.41 ** KEPT (pick-wt=8): 34 [] -ord_less_e_q_int(number_number_of_int(A),number_number_of_int(B))|ord_less_e_q_int(A,B). % 7.37/7.41 ** KEPT (pick-wt=8): 35 [] ord_less_e_q_int(number_number_of_int(A),number_number_of_int(B))| -ord_less_e_q_int(A,B). % 7.37/7.41 ** KEPT (pick-wt=8): 36 [] -ord_less_e_q_real(number267125858f_real(A),number267125858f_real(B))|ord_less_e_q_int(A,B). % 7.37/7.41 ** KEPT (pick-wt=8): 37 [] ord_less_e_q_real(number267125858f_real(A),number267125858f_real(B))| -ord_less_e_q_int(A,B). % 7.37/7.41 Following clause subsumed by 34 during input processing: 0 [] -ord_less_e_q_int(number_number_of_int(A),number_number_of_int(B))|ord_less_e_q_int(A,B). % 7.37/7.41 Following clause subsumed by 35 during input processing: 0 [] ord_less_e_q_int(number_number_of_int(A),number_number_of_int(B))| -ord_less_e_q_int(A,B). % 7.37/7.41 ** KEPT (pick-wt=9): 38 [] -ord_less_e_q_int(A,B)| -ord_less_e_q_int(B,C)|ord_less_e_q_int(A,C). % 7.37/7.41 ** KEPT (pick-wt=13): 39 [] -is_int(A)| -is_int(B)| -ord_less_e_q_int(A,B)| -ord_less_e_q_int(B,A)|A=B. % 7.37/7.41 ** KEPT (pick-wt=8): 40 [] -ord_less_e_q_int(bit1(A),bit1(B))|ord_less_e_q_int(A,B). % 7.37/7.41 ** KEPT (pick-wt=8): 41 [] ord_less_e_q_int(bit1(A),bit1(B))| -ord_less_e_q_int(A,B). % 7.37/7.41 Following clause subsumed by 40 during input processing: 0 [] -ord_less_e_q_int(bit1(A),bit1(B))|ord_less_e_q_int(A,B). % 7.37/7.41 Following clause subsumed by 41 during input processing: 0 [] ord_less_e_q_int(bit1(A),bit1(B))| -ord_less_e_q_int(A,B). % 7.37/7.41 ** KEPT (pick-wt=8): 42 [] -ord_less_e_q_int(bit0(A),bit0(B))|ord_less_e_q_int(A,B). % 7.37/7.41 ** KEPT (pick-wt=8): 43 [] ord_less_e_q_int(bit0(A),bit0(B))| -ord_less_e_q_int(A,B). % 7.37/7.41 Following clause subsumed by 42 during input processing: 0 [] -ord_less_e_q_int(bit0(A),bit0(B))|ord_less_e_q_int(A,B). % 7.37/7.41 Following clause subsumed by 43 during input processing: 0 [] ord_less_e_q_int(bit0(A),bit0(B))| -ord_less_e_q_int(A,B). % 7.37/7.41 ** KEPT (pick-wt=10): 44 [] -is_int(A)| -is_int(B)| -ord_less_int(A,B)|ord_less_e_q_int(A,B). % 7.37/7.41 ** KEPT (pick-wt=10): 45 [] -is_int(A)| -is_int(B)| -ord_less_int(A,B)|A!=B. % 7.37/7.41 ** KEPT (pick-wt=13): 46 [] -is_int(A)| -is_int(B)|ord_less_int(A,B)| -ord_less_e_q_int(A,B)|A=B. % 7.37/7.41 ** KEPT (pick-wt=10): 47 [] -ord_less_e_q_int(A,B)|ord_less_e_q_int(plus_plus_int(C,A),plus_plus_int(C,B)). % 7.37/7.41 ** KEPT (pick-wt=7): 48 [] number_number_of_nat(A)!=zero_zero_nat|ord_less_e_q_int(A,pls). % 7.37/7.41 ** KEPT (pick-wt=7): 49 [] number_number_of_nat(A)=zero_zero_nat| -ord_less_e_q_int(A,pls). % 7.37/7.41 Following clause subsumed by 48 during input processing: 0 [flip.1] number_number_of_nat(A)!=zero_zero_nat|ord_less_e_q_int(A,pls). % 7.37/7.41 Following clause subsumed by 49 during input processing: 0 [flip.1] number_number_of_nat(A)=zero_zero_nat| -ord_less_e_q_int(A,pls). % 7.37/7.41 ** KEPT (pick-wt=16): 51 [copy,50,flip.3] -ord_less_e_q_int(pls,A)| -ord_less_e_q_int(pls,B)|number267125858f_real(times_times_int(A,B))=times_times_real(number267125858f_real(A),number267125858f_real(B)). % 7.37/7.41 ** KEPT (pick-wt=16): 53 [copy,52,flip.3] -ord_less_e_q_int(pls,A)| -ord_less_e_q_int(pls,B)|number_number_of_nat(times_times_int(A,B))=times_times_nat(number_number_of_nat(A),number_number_of_nat(B)). % 7.37/7.42 ** KEPT (pick-wt=16): 55 [copy,54,flip.3] -ord_less_e_q_int(pls,A)| -ord_less_e_q_int(pls,B)|number_number_of_int(times_times_int(A,B))=times_times_int(number_number_of_int(A),number_number_of_int(B)). % 7.37/7.42 ** KEPT (pick-wt=12): 56 [] -ord_less_e_q_real(plus_plus_real(times_times_real(A,A),times_times_real(B,B)),zero_zero_real)|A=zero_zero_real. % 7.37/7.42 ** KEPT (pick-wt=12): 57 [] -ord_less_e_q_real(plus_plus_real(times_times_real(A,A),times_times_real(B,B)),zero_zero_real)|B=zero_zero_real. % 7.37/7.42 ** KEPT (pick-wt=15): 58 [] ord_less_e_q_real(plus_plus_real(times_times_real(A,A),times_times_real(B,B)),zero_zero_real)|A!=zero_zero_real|B!=zero_zero_real. % 7.37/7.42 ** KEPT (pick-wt=16): 59 [] -is_int(A)| -is_int(B)| -ord_less_e_q_int(plus_plus_int(times_times_int(A,A),times_times_int(B,B)),zero_zero_int)|A=zero_zero_int. % 7.37/7.42 ** KEPT (pick-wt=16): 60 [] -is_int(A)| -is_int(B)| -ord_less_e_q_int(plus_plus_int(times_times_int(A,A),times_times_int(B,B)),zero_zero_int)|B=zero_zero_int. % 7.37/7.42 ** KEPT (pick-wt=19): 61 [] -is_int(A)| -is_int(B)|ord_less_e_q_int(plus_plus_int(times_times_int(A,A),times_times_int(B,B)),zero_zero_int)|A!=zero_zero_int|B!=zero_zero_int. % 7.37/7.42 ** KEPT (pick-wt=7): 62 [] -ord_less_e_q_real(number267125858f_real(A),zero_zero_real)|ord_less_e_q_int(A,pls). % 7.37/7.42 ** KEPT (pick-wt=7): 63 [] ord_less_e_q_real(number267125858f_real(A),zero_zero_real)| -ord_less_e_q_int(A,pls). % 7.37/7.42 ** KEPT (pick-wt=7): 64 [] -ord_less_e_q_int(number_number_of_int(A),zero_zero_int)|ord_less_e_q_int(A,pls). % 7.37/7.42 ** KEPT (pick-wt=7): 65 [] ord_less_e_q_int(number_number_of_int(A),zero_zero_int)| -ord_less_e_q_int(A,pls). % 7.37/7.42 ** KEPT (pick-wt=7): 66 [] -ord_less_e_q_real(zero_zero_real,number267125858f_real(A))|ord_less_e_q_int(pls,A). % 7.37/7.42 ** KEPT (pick-wt=7): 67 [] ord_less_e_q_real(zero_zero_real,number267125858f_real(A))| -ord_less_e_q_int(pls,A). % 7.37/7.42 ** KEPT (pick-wt=7): 68 [] -ord_less_e_q_int(zero_zero_int,number_number_of_int(A))|ord_less_e_q_int(pls,A). % 7.37/7.42 ** KEPT (pick-wt=7): 69 [] ord_less_e_q_int(zero_zero_int,number_number_of_int(A))| -ord_less_e_q_int(pls,A). % 7.37/7.42 ** KEPT (pick-wt=7): 70 [] -ord_less_nat(zero_zero_nat,number_number_of_nat(A))|ord_less_int(pls,A). % 7.37/7.42 ** KEPT (pick-wt=7): 71 [] ord_less_nat(zero_zero_nat,number_number_of_nat(A))| -ord_less_int(pls,A). % 7.37/7.42 ** KEPT (pick-wt=10): 72 [] -ord_less_e_q_real(number267125858f_real(A),number267125858f_real(B))| -ord_less_real(number267125858f_real(B),number267125858f_real(A)). % 7.37/7.42 ** KEPT (pick-wt=10): 73 [] -ord_less_e_q_nat(number_number_of_nat(A),number_number_of_nat(B))| -ord_less_nat(number_number_of_nat(B),number_number_of_nat(A)). % 7.37/7.42 ** KEPT (pick-wt=10): 74 [] -ord_less_e_q_int(number_number_of_int(A),number_number_of_int(B))| -ord_less_int(number_number_of_int(B),number_number_of_int(A)). % 7.37/7.42 ** KEPT (pick-wt=7): 75 [] -ord_less_e_q_int(pls,bit1(A))|ord_less_e_q_int(pls,A). % 7.37/7.42 ** KEPT (pick-wt=7): 76 [] ord_less_e_q_int(pls,bit1(A))| -ord_less_e_q_int(pls,A). % 7.37/7.42 ** KEPT (pick-wt=8): 77 [] -ord_less_e_q_int(bit0(A),bit1(B))|ord_less_e_q_int(A,B). % 7.37/7.42 ** KEPT (pick-wt=8): 78 [] ord_less_e_q_int(bit0(A),bit1(B))| -ord_less_e_q_int(A,B). % 7.43/7.42 Following clause subsumed by 77 during input processing: 0 [] -ord_less_e_q_int(bit0(A),bit1(B))|ord_less_e_q_int(A,B). % 7.43/7.42 Following clause subsumed by 78 during input processing: 0 [] ord_less_e_q_int(bit0(A),bit1(B))| -ord_less_e_q_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=7): 79 [] -ord_less_e_q_int(bit0(A),pls)|ord_less_e_q_int(A,pls). % 7.43/7.42 ** KEPT (pick-wt=7): 80 [] ord_less_e_q_int(bit0(A),pls)| -ord_less_e_q_int(A,pls). % 7.43/7.42 ** KEPT (pick-wt=7): 81 [] -ord_less_e_q_int(pls,bit0(A))|ord_less_e_q_int(pls,A). % 7.43/7.42 ** KEPT (pick-wt=7): 82 [] ord_less_e_q_int(pls,bit0(A))| -ord_less_e_q_int(pls,A). % 7.43/7.42 ** KEPT (pick-wt=13): 83 [] -ord_less_int(A,B)| -ord_less_e_q_int(C,D)|ord_less_int(plus_plus_int(A,C),plus_plus_int(B,D)). % 7.43/7.42 ** KEPT (pick-wt=8): 84 [] -ord_less_e_q_real(number267125858f_real(A),one_one_real)|ord_less_e_q_int(A,bit1(pls)). % 7.43/7.42 ** KEPT (pick-wt=8): 85 [] ord_less_e_q_real(number267125858f_real(A),one_one_real)| -ord_less_e_q_int(A,bit1(pls)). % 7.43/7.42 ** KEPT (pick-wt=8): 86 [] -ord_less_e_q_int(number_number_of_int(A),one_one_int)|ord_less_e_q_int(A,bit1(pls)). % 7.43/7.42 ** KEPT (pick-wt=8): 87 [] ord_less_e_q_int(number_number_of_int(A),one_one_int)| -ord_less_e_q_int(A,bit1(pls)). % 7.43/7.42 ** KEPT (pick-wt=8): 88 [] -ord_less_e_q_real(one_one_real,number267125858f_real(A))|ord_less_e_q_int(bit1(pls),A). % 7.43/7.42 ** KEPT (pick-wt=8): 89 [] ord_less_e_q_real(one_one_real,number267125858f_real(A))| -ord_less_e_q_int(bit1(pls),A). % 7.43/7.42 ** KEPT (pick-wt=8): 90 [] -ord_less_e_q_int(one_one_int,number_number_of_int(A))|ord_less_e_q_int(bit1(pls),A). % 7.43/7.42 ** KEPT (pick-wt=8): 91 [] ord_less_e_q_int(one_one_int,number_number_of_int(A))| -ord_less_e_q_int(bit1(pls),A). % 7.43/7.42 ** KEPT (pick-wt=8): 92 [] -ord_less_int(number_number_of_int(A),number_number_of_int(B))|ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=8): 93 [] ord_less_int(number_number_of_int(A),number_number_of_int(B))| -ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=7): 94 [] -is_int(A)|times_times_int(A,one_one_int)=A. % 7.43/7.42 ** KEPT (pick-wt=7): 95 [] -is_int(A)|times_times_int(one_one_int,A)=A. % 7.43/7.42 ** KEPT (pick-wt=7): 96 [] -ord_less_e_q_int(bit1(A),pls)|ord_less_int(A,pls). % 7.43/7.42 ** KEPT (pick-wt=7): 97 [] ord_less_e_q_int(bit1(A),pls)| -ord_less_int(A,pls). % 7.43/7.42 ** KEPT (pick-wt=7): 98 [] -ord_less_int(pls,bit1(A))|ord_less_e_q_int(pls,A). % 7.43/7.42 ** KEPT (pick-wt=7): 99 [] ord_less_int(pls,bit1(A))| -ord_less_e_q_int(pls,A). % 7.43/7.42 ** KEPT (pick-wt=8): 100 [] -ord_less_e_q_int(bit1(A),bit0(B))|ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=8): 101 [] ord_less_e_q_int(bit1(A),bit0(B))| -ord_less_int(A,B). % 7.43/7.42 Following clause subsumed by 100 during input processing: 0 [] -ord_less_e_q_int(bit1(A),bit0(B))|ord_less_int(A,B). % 7.43/7.42 Following clause subsumed by 101 during input processing: 0 [] ord_less_e_q_int(bit1(A),bit0(B))| -ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=8): 102 [] -ord_less_int(bit0(A),bit1(B))|ord_less_e_q_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=8): 103 [] ord_less_int(bit0(A),bit1(B))| -ord_less_e_q_int(A,B). % 7.43/7.42 Following clause subsumed by 102 during input processing: 0 [] -ord_less_int(bit0(A),bit1(B))|ord_less_e_q_int(A,B). % 7.43/7.42 Following clause subsumed by 103 during input processing: 0 [] ord_less_int(bit0(A),bit1(B))| -ord_less_e_q_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=11): 104 [] -ord_less_nat(number_number_of_nat(A),number_number_of_nat(B))| -ord_less_int(A,B)|ord_less_int(pls,B). % 7.43/7.42 ** KEPT (pick-wt=8): 105 [] -ord_less_nat(number_number_of_nat(A),number_number_of_nat(B))|ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=11): 106 [] ord_less_nat(number_number_of_nat(A),number_number_of_nat(B))| -ord_less_int(pls,B)| -ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=6): 107 [] -ord_less_e_q_int(one_one_int,A)|ord_less_int(zero_zero_int,A). % 7.43/7.42 ** KEPT (pick-wt=6): 108 [] ord_less_e_q_int(one_one_int,A)| -ord_less_int(zero_zero_int,A). % 7.43/7.42 ** KEPT (pick-wt=8): 109 [] -ord_less_int(A,B)|ord_less_e_q_int(plus_plus_int(A,one_one_int),B). % 7.43/7.42 ** KEPT (pick-wt=8): 110 [] -ord_less_e_q_int(plus_plus_int(A,one_one_int),B)|ord_less_int(A,B). % 7.43/7.42 Following clause subsumed by 109 during input processing: 0 [] ord_less_e_q_int(plus_plus_int(A,one_one_int),B)| -ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=8): 111 [] -ord_less_int(A,plus_plus_int(B,one_one_int))|ord_less_e_q_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=8): 112 [] ord_less_int(A,plus_plus_int(B,one_one_int))| -ord_less_e_q_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=16): 114 [copy,113,flip.3] -ord_less_e_q_int(pls,A)| -ord_less_e_q_int(pls,B)|number267125858f_real(plus_plus_int(A,B))=plus_plus_real(number267125858f_real(A),number267125858f_real(B)). % 7.43/7.42 ** KEPT (pick-wt=16): 116 [copy,115,flip.3] -ord_less_e_q_int(pls,A)| -ord_less_e_q_int(pls,B)|number_number_of_nat(plus_plus_int(A,B))=plus_plus_nat(number_number_of_nat(A),number_number_of_nat(B)). % 7.43/7.42 ** KEPT (pick-wt=16): 118 [copy,117,flip.3] -ord_less_e_q_int(pls,A)| -ord_less_e_q_int(pls,B)|number_number_of_int(plus_plus_int(A,B))=plus_plus_int(number_number_of_int(A),number_number_of_int(B)). % 7.43/7.42 ** KEPT (pick-wt=11): 119 [] -ord_less_int(A,pls)|plus_plus_nat(number_number_of_nat(A),number_number_of_nat(B))=number_number_of_nat(B). % 7.43/7.42 ** KEPT (pick-wt=14): 120 [] ord_less_int(A,pls)| -ord_less_int(B,pls)|plus_plus_nat(number_number_of_nat(A),number_number_of_nat(B))=number_number_of_nat(A). % 7.43/7.42 ** KEPT (pick-wt=8): 121 [] -ord_less_e_q_int(zero_zero_int,A)|ord_less_int(zero_zero_int,plus_plus_int(one_one_int,A)). % 7.43/7.42 ** KEPT (pick-wt=12): 122 [] -is_int(A)| -is_int(B)|number267125858f_real(A)!=number267125858f_real(B)|A=B. % 7.43/7.42 ** KEPT (pick-wt=12): 123 [] -is_int(A)| -is_int(B)|number267125858f_real(A)=number267125858f_real(B)|A!=B. % 7.43/7.42 ** KEPT (pick-wt=12): 124 [] -is_int(A)| -is_int(B)|number_number_of_int(A)!=number_number_of_int(B)|A=B. % 7.43/7.42 ** KEPT (pick-wt=12): 125 [] -is_int(A)| -is_int(B)|number_number_of_int(A)=number_number_of_int(B)|A!=B. % 7.43/7.42 ** KEPT (pick-wt=8): 126 [] number267125858f_real(A)!=B|B=number267125858f_real(A). % 7.43/7.42 ** KEPT (pick-wt=8): 127 [] number267125858f_real(A)=B|B!=number267125858f_real(A). % 7.43/7.42 ** KEPT (pick-wt=10): 128 [] -is_int(A)|number_number_of_int(B)!=A|A=number_number_of_int(B). % 7.43/7.42 ** KEPT (pick-wt=10): 129 [] -is_int(A)|number_number_of_int(B)=A|A!=number_number_of_int(B). % 7.43/7.42 ** KEPT (pick-wt=8): 130 [] number_number_of_nat(A)!=B|B=number_number_of_nat(A). % 7.43/7.42 ** KEPT (pick-wt=8): 131 [] number_number_of_nat(A)=B|B!=number_number_of_nat(A). % 7.43/7.42 ** KEPT (pick-wt=12): 132 [] -is_int(A)| -is_int(B)|bit1(A)!=bit1(B)|A=B. % 7.43/7.42 ** KEPT (pick-wt=12): 133 [] -is_int(A)| -is_int(B)|bit1(A)=bit1(B)|A!=B. % 7.43/7.42 ** KEPT (pick-wt=12): 134 [] -is_int(A)| -is_int(B)|bit0(A)!=bit0(B)|A=B. % 7.43/7.42 ** KEPT (pick-wt=12): 135 [] -is_int(A)| -is_int(B)|bit0(A)=bit0(B)|A!=B. % 7.43/7.42 ** KEPT (pick-wt=13): 136 [] -is_int(A)| -is_int(B)|ord_less_int(A,B)|A=B|ord_less_int(B,A). % 7.43/7.42 ** KEPT (pick-wt=12): 137 [] plus_plus_real(times_times_real(A,A),times_times_real(B,B))!=zero_zero_real|A=zero_zero_real. % 7.43/7.42 ** KEPT (pick-wt=12): 138 [] plus_plus_real(times_times_real(A,A),times_times_real(B,B))!=zero_zero_real|B=zero_zero_real. % 7.43/7.42 ** KEPT (pick-wt=15): 139 [] plus_plus_real(times_times_real(A,A),times_times_real(B,B))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real. % 7.43/7.42 ** KEPT (pick-wt=16): 140 [] -is_int(A)| -is_int(B)|plus_plus_int(times_times_int(A,A),times_times_int(B,B))!=zero_zero_int|A=zero_zero_int. % 7.43/7.42 ** KEPT (pick-wt=16): 141 [] -is_int(A)| -is_int(B)|plus_plus_int(times_times_int(A,A),times_times_int(B,B))!=zero_zero_int|B=zero_zero_int. % 7.43/7.42 ** KEPT (pick-wt=19): 142 [] -is_int(A)| -is_int(B)|plus_plus_int(times_times_int(A,A),times_times_int(B,B))=zero_zero_int|A!=zero_zero_int|B!=zero_zero_int. % 7.43/7.42 ** KEPT (pick-wt=13): 143 [] -ord_less_int(A,B)| -ord_less_int(zero_zero_int,C)|ord_less_int(times_times_int(C,A),times_times_int(C,B)). % 7.43/7.42 ** KEPT (pick-wt=22): 144 [] power_power_real(A,number_number_of_nat(bit0(bit1(pls))))!=power_power_real(B,number_number_of_nat(bit0(bit1(pls))))| -ord_less_e_q_real(zero_zero_real,A)| -ord_less_e_q_real(zero_zero_real,B)|A=B. % 7.43/7.42 ** KEPT (pick-wt=22): 145 [] power_power_nat(A,number_number_of_nat(bit0(bit1(pls))))!=power_power_nat(B,number_number_of_nat(bit0(bit1(pls))))| -ord_less_e_q_nat(zero_zero_nat,A)| -ord_less_e_q_nat(zero_zero_nat,B)|A=B. % 7.43/7.42 ** KEPT (pick-wt=26): 146 [] -is_int(A)| -is_int(B)|power_power_int(A,number_number_of_nat(bit0(bit1(pls))))!=power_power_int(B,number_number_of_nat(bit0(bit1(pls))))| -ord_less_e_q_int(zero_zero_int,A)| -ord_less_e_q_int(zero_zero_int,B)|A=B. % 7.43/7.42 ** KEPT (pick-wt=19): 147 [] -ord_less_e_q_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls)))))| -ord_less_e_q_real(zero_zero_real,B)|ord_less_e_q_real(A,B). % 7.43/7.42 ** KEPT (pick-wt=19): 148 [] -ord_less_e_q_nat(power_power_nat(A,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(B,number_number_of_nat(bit0(bit1(pls)))))| -ord_less_e_q_nat(zero_zero_nat,B)|ord_less_e_q_nat(A,B). % 7.43/7.42 ** KEPT (pick-wt=19): 149 [] -ord_less_e_q_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls)))))| -ord_less_e_q_int(zero_zero_int,B)|ord_less_e_q_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=19): 150 [] -ord_less_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls)))))| -ord_less_e_q_real(zero_zero_real,B)|ord_less_real(A,B). % 7.43/7.42 ** KEPT (pick-wt=19): 151 [] -ord_less_nat(power_power_nat(A,number_number_of_nat(bit0(bit1(pls)))),power_power_nat(B,number_number_of_nat(bit0(bit1(pls)))))| -ord_less_e_q_nat(zero_zero_nat,B)|ord_less_nat(A,B). % 7.43/7.42 ** KEPT (pick-wt=19): 152 [] -ord_less_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls)))))| -ord_less_e_q_int(zero_zero_int,B)|ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=18): 153 [] -ord_less_e_q_real(plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)|A=zero_zero_real. % 7.43/7.42 ** KEPT (pick-wt=18): 154 [] -ord_less_e_q_real(plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)|B=zero_zero_real. % 7.43/7.42 ** KEPT (pick-wt=21): 155 [] ord_less_e_q_real(plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)|A!=zero_zero_real|B!=zero_zero_real. % 7.43/7.42 ** KEPT (pick-wt=22): 156 [] -is_int(A)| -is_int(B)| -ord_less_e_q_int(plus_plus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)|A=zero_zero_int. % 7.43/7.42 ** KEPT (pick-wt=22): 157 [] -is_int(A)| -is_int(B)| -ord_less_e_q_int(plus_plus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)|B=zero_zero_int. % 7.43/7.42 ** KEPT (pick-wt=25): 158 [] -is_int(A)| -is_int(B)|ord_less_e_q_int(plus_plus_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),power_power_int(B,number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)|A!=zero_zero_int|B!=zero_zero_int. % 7.43/7.42 ** KEPT (pick-wt=15): 159 [] -ord_less_real(zero_zero_real,plus_plus_real(times_times_real(A,A),times_times_real(B,B)))|A!=zero_zero_real|B!=zero_zero_real. % 7.43/7.42 ** KEPT (pick-wt=19): 160 [] -is_int(A)| -is_int(B)| -ord_less_int(zero_zero_int,plus_plus_int(times_times_int(A,A),times_times_int(B,B)))|A!=zero_zero_int|B!=zero_zero_int. % 7.43/7.42 ** KEPT (pick-wt=16): 161 [] -is_int(A)| -is_int(B)|ord_less_int(zero_zero_int,plus_plus_int(times_times_int(A,A),times_times_int(B,B)))|A=zero_zero_int. % 7.43/7.42 ** KEPT (pick-wt=16): 162 [] -is_int(A)| -is_int(B)|ord_less_int(zero_zero_int,plus_plus_int(times_times_int(A,A),times_times_int(B,B)))|B=zero_zero_int. % 7.43/7.42 ** KEPT (pick-wt=9): 163 [] -ord_less_real(plus_plus_real(times_times_real(A,A),times_times_real(B,B)),zero_zero_real). % 7.43/7.42 ** KEPT (pick-wt=9): 164 [] -ord_less_int(plus_plus_int(times_times_int(A,A),times_times_int(B,B)),zero_zero_int). % 7.43/7.42 ** KEPT (pick-wt=9): 165 [] -is_int(A)|times_times_int(number_number_of_int(bit1(pls)),A)=A. % 7.43/7.42 ** KEPT (pick-wt=9): 166 [] -is_int(A)|times_times_int(A,number_number_of_int(bit1(pls)))=A. % 7.43/7.42 ** KEPT (pick-wt=15): 167 [] -is_int(A)| -is_int(B)| -ord_less_int(zero_zero_int,B)|times_times_int(B,A)!=one_one_int|B=one_one_int. % 7.43/7.42 ** KEPT (pick-wt=15): 168 [] -is_int(A)| -is_int(B)| -ord_less_int(zero_zero_int,B)|times_times_int(B,A)!=one_one_int|A=one_one_int. % 7.43/7.42 ** KEPT (pick-wt=18): 169 [] -is_int(A)| -is_int(B)| -ord_less_int(zero_zero_int,B)|times_times_int(B,A)=one_one_int|B!=one_one_int|A!=one_one_int. % 7.43/7.42 ** KEPT (pick-wt=8): 170 [] plus_plus_real(A,A)!=zero_zero_real|A=zero_zero_real. % 7.43/7.42 ** KEPT (pick-wt=8): 171 [] plus_plus_real(A,A)=zero_zero_real|A!=zero_zero_real. % 7.43/7.42 ** KEPT (pick-wt=10): 172 [] -is_int(A)|plus_plus_int(A,A)!=zero_zero_int|A=zero_zero_int. % 7.43/7.42 ** KEPT (pick-wt=10): 173 [] -is_int(A)|plus_plus_int(A,A)=zero_zero_int|A!=zero_zero_int. % 7.43/7.42 ** KEPT (pick-wt=4): 174 [] bit1(A)!=pls. % 7.43/7.42 Following clause subsumed by 174 during input processing: 0 [flip.1] bit1(A)!=pls. % 7.43/7.42 ** KEPT (pick-wt=5): 175 [] bit1(A)!=bit0(B). % 7.43/7.42 ** KEPT (pick-wt=5): 176 [] bit0(A)!=bit1(B). % 7.43/7.42 ** KEPT (pick-wt=9): 177 [] -is_int(A)|bit0(A)!=pls|A=pls. % 7.43/7.42 ** KEPT (pick-wt=9): 178 [] -is_int(A)|bit0(A)=pls|A!=pls. % 7.43/7.42 ** KEPT (pick-wt=9): 180 [copy,179,flip.2] -is_int(A)|bit0(A)!=pls|pls=A. % 7.43/7.42 ** KEPT (pick-wt=9): 182 [copy,181,flip.2] -is_int(A)|bit0(A)=pls|pls!=A. % 7.43/7.42 ** KEPT (pick-wt=8): 183 [] -ord_less_int(bit1(A),bit1(B))|ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=8): 184 [] ord_less_int(bit1(A),bit1(B))| -ord_less_int(A,B). % 7.43/7.42 Following clause subsumed by 183 during input processing: 0 [] -ord_less_int(bit1(A),bit1(B))|ord_less_int(A,B). % 7.43/7.42 Following clause subsumed by 184 during input processing: 0 [] ord_less_int(bit1(A),bit1(B))| -ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=3): 185 [] -ord_less_int(pls,pls). % 7.43/7.42 ** KEPT (pick-wt=8): 186 [] -ord_less_int(bit0(A),bit0(B))|ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=8): 187 [] ord_less_int(bit0(A),bit0(B))| -ord_less_int(A,B). % 7.43/7.42 Following clause subsumed by 186 during input processing: 0 [] -ord_less_int(bit0(A),bit0(B))|ord_less_int(A,B). % 7.43/7.42 Following clause subsumed by 187 during input processing: 0 [] ord_less_int(bit0(A),bit0(B))| -ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=3): 188 [] zero_zero_int!=one_one_int. % 7.43/7.42 ** KEPT (pick-wt=7): 189 [] -is_int(A)|plus_plus_int(A,pls)=A. % 7.43/7.42 ** KEPT (pick-wt=7): 190 [] -is_int(A)|plus_plus_int(pls,A)=A. % 7.43/7.42 ** KEPT (pick-wt=7): 191 [] -is_int(A)|plus_plus_int(A,zero_zero_int)=A. % 7.43/7.42 ** KEPT (pick-wt=7): 192 [] -is_int(A)|plus_plus_int(zero_zero_int,A)=A. % 7.43/7.42 ** KEPT (pick-wt=10): 193 [] -ord_less_int(A,B)|ord_less_int(plus_plus_int(A,C),plus_plus_int(B,C)). % 7.43/7.42 ** KEPT (pick-wt=8): 194 [] -ord_less_real(plus_plus_real(A,A),zero_zero_real)|ord_less_real(A,zero_zero_real). % 7.43/7.42 ** KEPT (pick-wt=8): 195 [] ord_less_real(plus_plus_real(A,A),zero_zero_real)| -ord_less_real(A,zero_zero_real). % 7.43/7.42 ** KEPT (pick-wt=8): 196 [] -ord_less_int(plus_plus_int(A,A),zero_zero_int)|ord_less_int(A,zero_zero_int). % 7.43/7.42 ** KEPT (pick-wt=8): 197 [] ord_less_int(plus_plus_int(A,A),zero_zero_int)| -ord_less_int(A,zero_zero_int). % 7.43/7.42 ** KEPT (pick-wt=8): 198 [] -is_int(A)|plus_plus_int(number_number_of_int(pls),A)=A. % 7.43/7.42 ** KEPT (pick-wt=8): 199 [] -is_int(A)|plus_plus_int(A,number_number_of_int(pls))=A. % 7.43/7.42 ** KEPT (pick-wt=8): 200 [] -ord_less_real(number267125858f_real(A),number267125858f_real(B))|ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=8): 201 [] ord_less_real(number267125858f_real(A),number267125858f_real(B))| -ord_less_int(A,B). % 7.43/7.42 Following clause subsumed by 92 during input processing: 0 [] -ord_less_int(number_number_of_int(A),number_number_of_int(B))|ord_less_int(A,B). % 7.43/7.42 Following clause subsumed by 93 during input processing: 0 [] ord_less_int(number_number_of_int(A),number_number_of_int(B))| -ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=7): 202 [] -ord_less_int(bit1(A),pls)|ord_less_int(A,pls). % 7.43/7.42 ** KEPT (pick-wt=7): 203 [] ord_less_int(bit1(A),pls)| -ord_less_int(A,pls). % 7.43/7.42 ** KEPT (pick-wt=8): 204 [] -ord_less_int(bit1(A),bit0(B))|ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=8): 205 [] ord_less_int(bit1(A),bit0(B))| -ord_less_int(A,B). % 7.43/7.42 Following clause subsumed by 204 during input processing: 0 [] -ord_less_int(bit1(A),bit0(B))|ord_less_int(A,B). % 7.43/7.42 Following clause subsumed by 205 during input processing: 0 [] ord_less_int(bit1(A),bit0(B))| -ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=7): 206 [] -ord_less_int(bit1(A),zero_zero_int)|ord_less_int(A,zero_zero_int). % 7.43/7.42 ** KEPT (pick-wt=7): 207 [] ord_less_int(bit1(A),zero_zero_int)| -ord_less_int(A,zero_zero_int). % 7.43/7.42 ** KEPT (pick-wt=7): 208 [] -ord_less_int(bit0(A),pls)|ord_less_int(A,pls). % 7.43/7.42 ** KEPT (pick-wt=7): 209 [] ord_less_int(bit0(A),pls)| -ord_less_int(A,pls). % 7.43/7.42 ** KEPT (pick-wt=7): 210 [] -ord_less_int(pls,bit0(A))|ord_less_int(pls,A). % 7.43/7.42 ** KEPT (pick-wt=7): 211 [] ord_less_int(pls,bit0(A))| -ord_less_int(pls,A). % 7.43/7.42 ** KEPT (pick-wt=3): 212 [] -ord_less_int(pls,zero_zero_int). % 7.43/7.42 ** KEPT (pick-wt=7): 213 [] -ord_less_int(bit0(A),zero_zero_int)|ord_less_int(A,zero_zero_int). % 7.43/7.42 ** KEPT (pick-wt=7): 214 [] ord_less_int(bit0(A),zero_zero_int)| -ord_less_int(A,zero_zero_int). % 7.43/7.42 ** KEPT (pick-wt=7): 215 [] plus_plus_int(plus_plus_int(one_one_int,A),A)!=zero_zero_int. % 7.43/7.42 ** KEPT (pick-wt=15): 216 [] -is_int(A)| -is_int(B)| -ord_less_int(A,plus_plus_int(B,one_one_int))|ord_less_int(A,B)|A=B. % 7.43/7.42 ** KEPT (pick-wt=12): 217 [] -is_int(A)| -is_int(B)|ord_less_int(A,plus_plus_int(B,one_one_int))| -ord_less_int(A,B). % 7.43/7.42 ** KEPT (pick-wt=12): 218 [] -is_int(A)| -is_int(B)|ord_less_int(A,plus_plus_int(B,one_one_int))|A!=B. % 7.43/7.42 ** KEPT (pick-wt=10): 219 [] -ord_less_int(plus_plus_int(plus_plus_int(one_one_int,A),A),zero_zero_int)|ord_less_int(A,zero_zero_int). % 7.43/7.42 ** KEPT (pick-wt=10): 220 [] ord_less_int(plus_plus_int(plus_plus_int(one_one_int,A),A),zero_zero_int)| -ord_less_int(A,zero_zero_int). % 7.43/7.42 ** KEPT (pick-wt=7): 221 [] -ord_less_real(number267125858f_real(A),zero_zero_real)|ord_less_int(A,pls). % 7.43/7.42 ** KEPT (pick-wt=7): 222 [] ord_less_real(number267125858f_real(A),zero_zero_real)| -ord_less_int(A,pls). % 7.43/7.42 ** KEPT (pick-wt=7): 223 [] -ord_less_int(number_number_of_int(A),zero_zero_int)|ord_less_int(A,pls). % 7.43/7.42 ** KEPT (pick-wt=7): 224 [] ord_less_int(number_number_of_int(A),zero_zero_int)| -ord_less_int(A,pls). % 7.43/7.42 ** KEPT (pick-wt=7): 225 [] -ord_less_real(zero_zero_real,number267125858f_real(A))|ord_less_int(pls,A). % 7.43/7.42 ** KEPT (pick-wt=7): 226 [] ord_less_real(zero_zero_real,number267125858f_real(A))| -ord_less_int(pls,A). % 7.43/7.42 ** KEPT (pick-wt=7): 227 [] -ord_less_int(zero_zero_int,number_number_of_int(A))|ord_less_int(pls,A). % 7.43/7.42 ** KEPT (pick-wt=7): 228 [] ord_less_int(zero_zero_int,number_number_of_int(A))| -ord_less_int(pls,A). % 7.43/7.42 ** KEPT (pick-wt=8): 229 [] -ord_less_real(number267125858f_real(A),one_one_real)|ord_less_int(A,bit1(pls)). % 7.43/7.42 ** KEPT (pick-wt=8): 230 [] ord_less_real(number267125858f_real(A),one_one_real)| -ord_less_int(A,bit1(pls)). % 7.43/7.42 ** KEPT (pick-wt=8): 231 [] -ord_less_int(number_number_of_int(A),one_one_int)|ord_less_int(A,bit1(pls)). % 7.43/7.42 ** KEPT (pick-wt=8): 232 [] ord_less_int(number_number_of_int(A),one_one_int)| -ord_less_int(A,bit1(pls)). % 7.43/7.42 ** KEPT (pick-wt=8): 233 [] -ord_less_real(one_one_real,number267125858f_real(A))|ord_less_int(bit1(pls),A). % 7.43/7.42 ** KEPT (pick-wt=8): 234 [] ord_less_real(one_one_real,number267125858f_real(A))| -ord_less_int(bit1(pls),A). % 7.43/7.42 ** KEPT (pick-wt=8): 235 [] -ord_less_int(one_one_int,number_number_of_int(A))|ord_less_int(bit1(pls),A). % 7.43/7.42 ** KEPT (pick-wt=8): 236 [] ord_less_int(one_one_int,number_number_of_int(A))| -ord_less_int(bit1(pls),A). % 7.43/7.42 ** KEPT (pick-wt=17): 237 [] -is_int(A)| -ord_less_e_q_int(zero_zero_int,A)| -ord_less_int(A,number_number_of_int(bit0(bit1(pls))))|A=zero_zero_int|A=one_one_int. % 7.43/7.42 ** KEPT (pick-wt=16): 239 [copy,238,flip.2] -ord_less_int(zero_zero_int,A)|plus_plus_int(B,times_times_int(A,C))!=A| -ord_less_int(B,A)|ord_less_e_q_int(one_one_int,C). % 7.43/7.42 ** KEPT (pick-wt=16): 241 [copy,240,flip.2] -ord_less_int(zero_zero_int,A)|plus_plus_int(B,times_times_int(A,C))!=A| -ord_less_e_q_int(zero_zero_int,B)|ord_less_e_q_int(C,one_one_int). % 7.43/7.42 ** KEPT (pick-wt=31): 242 [] -is_int(A)| -ord_less_e_q_int(zero_zero_int,A)| -ord_less_int(A,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))| -zcong(s1,A,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))|A=$c2. % 7.43/7.42 ** KEPT (pick-wt=11): 243 [] -ord_less_nat(zero_zero_nat,power_power_nat(A,B))|B=zero_zero_nat|ord_less_nat(zero_zero_nat,A). % 7.43/7.42 ** KEPT (pick-wt=8): 244 [] ord_less_nat(zero_zero_nat,power_power_nat(A,B))|B!=zero_zero_nat. % 7.43/7.42 ** KEPT (pick-wt=8): 245 [] ord_less_nat(zero_zero_nat,power_power_nat(A,B))| -ord_less_nat(zero_zero_nat,A). % 7.43/7.43 ** KEPT (pick-wt=10): 246 [] -zprime(A)| -dvd_dvd_int(A,power_power_int(B,C))|dvd_dvd_int(A,B). % 7.43/7.43 ** KEPT (pick-wt=17): 247 [] -zprime(A)|dvd_dvd_int(A,B)| -dvd_dvd_int(power_power_int(A,C),times_times_int(D,B))|dvd_dvd_int(power_power_int(A,C),D). % 7.43/7.43 ** KEPT (pick-wt=17): 248 [] -zprime(A)|dvd_dvd_int(A,B)| -dvd_dvd_int(power_power_int(A,C),times_times_int(B,D))|dvd_dvd_int(power_power_int(A,C),D). % 7.43/7.43 ** KEPT (pick-wt=9): 249 [] -ord_less_int(zero_zero_int,A)| -ord_less_int(A,B)| -dvd_dvd_int(B,A). % 7.43/7.43 ** KEPT (pick-wt=19): 250 [] -is_int(A)| -is_int(B)| -ord_less_e_q_int(zero_zero_int,B)| -ord_less_e_q_int(zero_zero_int,A)| -dvd_dvd_int(B,A)| -dvd_dvd_int(A,B)|B=A. % 7.43/7.43 ** KEPT (pick-wt=15): 251 [] -is_int(A)| -dvd_dvd_int(times_times_int(A,B),times_times_int(A,C))|A=zero_zero_int|dvd_dvd_int(B,C). % 7.43/7.43 ** KEPT (pick-wt=10): 252 [] -dvd_dvd_int(A,plus_plus_int(B,times_times_int(A,C)))|dvd_dvd_int(A,B). % 7.43/7.43 ** KEPT (pick-wt=10): 253 [] dvd_dvd_int(A,plus_plus_int(B,times_times_int(A,C)))| -dvd_dvd_int(A,B). % 7.43/7.43 ** KEPT (pick-wt=17): 254 [] -dvd_dvd_int(A,B)| -dvd_dvd_int(A,plus_plus_int(C,D))|dvd_dvd_int(A,plus_plus_int(plus_plus_int(C,times_times_int(E,B)),D)). % 7.43/7.43 ** KEPT (pick-wt=17): 255 [] -dvd_dvd_int(A,B)|dvd_dvd_int(A,plus_plus_int(C,D))| -dvd_dvd_int(A,plus_plus_int(plus_plus_int(C,times_times_int(E,B)),D)). % 7.43/7.43 ** KEPT (pick-wt=9): 256 [] -dvd_dvd_int(A,B)| -ord_less_int(zero_zero_int,B)|ord_less_e_q_int(A,B). % 7.43/7.43 ** KEPT (pick-wt=8): 257 [] -twoSqu142715416sum2sq(A)| -twoSqu142715416sum2sq(B)|twoSqu142715416sum2sq(times_times_int(A,B)). % 7.43/7.43 ** KEPT (pick-wt=11): 258 [] -ord_less_e_q_nat(number_number_of_nat(A),number_number_of_nat(B))|ord_less_e_q_int(A,B)|ord_less_e_q_int(A,pls). % 7.43/7.43 ** KEPT (pick-wt=8): 259 [] ord_less_e_q_nat(number_number_of_nat(A),number_number_of_nat(B))| -ord_less_e_q_int(A,B). % 7.43/7.43 ** KEPT (pick-wt=8): 260 [] ord_less_e_q_nat(number_number_of_nat(A),number_number_of_nat(B))| -ord_less_e_q_int(A,pls). % 7.43/7.43 ** KEPT (pick-wt=7): 261 [] -is_int(A)|power_power_int(A,one_one_nat)=A. % 7.43/7.43 Following clause subsumed by 243 during input processing: 0 [] -ord_less_nat(zero_zero_nat,power_power_nat(A,number_number_of_nat(B)))|number_number_of_nat(B)=zero_zero_nat|ord_less_nat(zero_zero_nat,A). % 7.43/7.43 Following clause subsumed by 244 during input processing: 0 [] ord_less_nat(zero_zero_nat,power_power_nat(A,number_number_of_nat(B)))|number_number_of_nat(B)!=zero_zero_nat. % 7.43/7.43 Following clause subsumed by 245 during input processing: 0 [] ord_less_nat(zero_zero_nat,power_power_nat(A,number_number_of_nat(B)))| -ord_less_nat(zero_zero_nat,A). % 7.43/7.43 ** KEPT (pick-wt=10): 262 [] -ord_less_int(A,pls)|times_times_nat(number_number_of_nat(A),number_number_of_nat(B))=zero_zero_nat. % 7.43/7.43 ** KEPT (pick-wt=12): 263 [] -ord_less_int(A,pls)|times_times_nat(number_number_of_nat(A),times_times_nat(number_number_of_nat(B),C))=zero_zero_nat. % 7.43/7.43 ** KEPT (pick-wt=13): 264 [] -ord_less_e_q_real(power_power_real(A,times_times_nat(number_number_of_nat(bit0(bit1(pls))),B)),zero_zero_real)|A=zero_zero_real. % 7.43/7.43 ** KEPT (pick-wt=15): 265 [] -is_int(A)| -ord_less_e_q_int(power_power_int(A,times_times_nat(number_number_of_nat(bit0(bit1(pls))),B)),zero_zero_int)|A=zero_zero_int. % 7.43/7.43 Following clause subsumed by 192 during input processing: 0 [] -is_int(A)|plus_plus_int(zero_zero_int,A)=A. % 7.43/7.43 Following clause subsumed by 191 during input processing: 0 [] -is_int(A)|plus_plus_int(A,zero_zero_int)=A. % 7.43/7.43 ** KEPT (pick-wt=8): 267 [copy,266,flip.1] plus_plus_real(A,B)!=A|B=zero_zero_real. % 7.43/7.43 ** KEPT (pick-wt=8): 269 [copy,268,flip.1] plus_plus_real(A,B)=A|B!=zero_zero_real. % 7.43/7.43 ** KEPT (pick-wt=8): 271 [copy,270,flip.1] plus_plus_nat(A,B)!=A|B=zero_zero_nat. % 7.43/7.43 ** KEPT (pick-wt=8): 273 [copy,272,flip.1] plus_plus_nat(A,B)=A|B!=zero_zero_nat. % 7.43/7.43 ** KEPT (pick-wt=12): 275 [copy,274,flip.3] -is_int(A)| -is_int(B)|plus_plus_int(A,B)!=A|B=zero_zero_int. % 7.43/7.43 ** KEPT (pick-wt=12): 277 [copy,276,flip.3] -is_int(A)| -is_int(B)|plus_plus_int(A,B)=A|B!=zero_zero_int. % 7.43/7.43 ** KEPT (pick-wt=21): 278 [] A=B|C=D|plus_plus_real(times_times_real(A,C),times_times_real(B,D))!=plus_plus_real(times_times_real(A,D),times_times_real(B,C)). % 7.43/7.43 ** KEPT (pick-wt=18): 279 [] A!=B|plus_plus_real(times_times_real(A,C),times_times_real(B,D))=plus_plus_real(times_times_real(A,D),times_times_real(B,C)). % 7.43/7.43 ** KEPT (pick-wt=18): 280 [] A!=B|plus_plus_real(times_times_real(C,A),times_times_real(D,B))=plus_plus_real(times_times_real(C,B),times_times_real(D,A)). % 7.43/7.43 ** KEPT (pick-wt=21): 281 [] A=B|C=D|plus_plus_nat(times_times_nat(A,C),times_times_nat(B,D))!=plus_plus_nat(times_times_nat(A,D),times_times_nat(B,C)). % 7.43/7.43 ** KEPT (pick-wt=18): 282 [] A!=B|plus_plus_nat(times_times_nat(A,C),times_times_nat(B,D))=plus_plus_nat(times_times_nat(A,D),times_times_nat(B,C)). % 7.43/7.43 ** KEPT (pick-wt=18): 283 [] A!=B|plus_plus_nat(times_times_nat(C,A),times_times_nat(D,B))=plus_plus_nat(times_times_nat(C,B),times_times_nat(D,A)). % 7.43/7.43 ** KEPT (pick-wt=29): 284 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|C=D|A=B|plus_plus_int(times_times_int(C,A),times_times_int(D,B))!=plus_plus_int(times_times_int(C,B),times_times_int(D,A)). % 7.43/7.43 ** KEPT (pick-wt=26): 285 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|C!=D|plus_plus_int(times_times_int(C,A),times_times_int(D,B))=plus_plus_int(times_times_int(C,B),times_times_int(D,A)). % 7.43/7.43 ** KEPT (pick-wt=26): 286 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|A!=B|plus_plus_int(times_times_int(C,A),times_times_int(D,B))=plus_plus_int(times_times_int(C,B),times_times_int(D,A)). % 7.43/7.43 Following clause subsumed by 278 during input processing: 0 [] plus_plus_real(times_times_real(A,B),times_times_real(C,D))!=plus_plus_real(times_times_real(A,D),times_times_real(C,B))|A=C|B=D. % 7.43/7.43 Following clause subsumed by 279 during input processing: 0 [] plus_plus_real(times_times_real(A,B),times_times_real(C,D))=plus_plus_real(times_times_real(A,D),times_times_real(C,B))|A!=C. % 7.43/7.43 Following clause subsumed by 280 during input processing: 0 [] plus_plus_real(times_times_real(A,B),times_times_real(C,D))=plus_plus_real(times_times_real(A,D),times_times_real(C,B))|B!=D. % 7.43/7.43 Following clause subsumed by 281 during input processing: 0 [] plus_plus_nat(times_times_nat(A,B),times_times_nat(C,D))!=plus_plus_nat(times_times_nat(A,D),times_times_nat(C,B))|A=C|B=D. % 7.43/7.43 Following clause subsumed by 282 during input processing: 0 [] plus_plus_nat(times_times_nat(A,B),times_times_nat(C,D))=plus_plus_nat(times_times_nat(A,D),times_times_nat(C,B))|A!=C. % 7.43/7.43 Following clause subsumed by 283 during input processing: 0 [] plus_plus_nat(times_times_nat(A,B),times_times_nat(C,D))=plus_plus_nat(times_times_nat(A,D),times_times_nat(C,B))|B!=D. % 7.43/7.43 Following clause subsumed by 284 during input processing: 0 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|plus_plus_int(times_times_int(A,B),times_times_int(C,D))!=plus_plus_int(times_times_int(A,D),times_times_int(C,B))|A=C|B=D. % 7.43/7.43 Following clause subsumed by 285 during input processing: 0 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|plus_plus_int(times_times_int(A,B),times_times_int(C,D))=plus_plus_int(times_times_int(A,D),times_times_int(C,B))|A!=C. % 7.43/7.43 Following clause subsumed by 286 during input processing: 0 [] -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|plus_plus_int(times_times_int(A,B),times_times_int(C,D))=plus_plus_int(times_times_int(A,D),times_times_int(C,B))|B!=D. % 7.43/7.43 Following clause subsumed by 95 during input processing: 0 [] -is_int(A)|times_times_int(one_one_int,A)=A. % 7.43/7.43 Following clause subsumed by 94 during input processing: 0 [] -is_int(A)|times_times_int(A,one_one_int)=A. % 7.43/7.43 ** KEPT (pick-wt=20): 287 [] A=zero_zero_real|B!=C|D=E|plus_plus_real(B,times_times_real(A,D))!=plus_plus_real(C,times_times_real(A,E)). % 7.43/7.43 ** KEPT (pick-wt=20): 288 [] A=zero_zero_nat|B!=C|D=E|plus_plus_nat(B,times_times_nat(A,D))!=plus_plus_nat(C,times_times_nat(A,E)). % 7.43/7.43 ** KEPT (pick-wt=26): 289 [] -is_int(A)| -is_int(B)| -is_int(C)|C=zero_zero_int|D!=E|A=B|plus_plus_int(D,times_times_int(C,A))!=plus_plus_int(E,times_times_int(C,B)). % 7.43/7.43 ** KEPT (pick-wt=9): 290 [] power_power_real(A,number_number_of_nat(B))!=zero_zero_real|A=zero_zero_real. % 7.43/7.43 ** KEPT (pick-wt=10): 291 [] power_power_real(A,number_number_of_nat(B))!=zero_zero_real|number_number_of_nat(B)!=zero_zero_nat. % 7.43/7.43 ** KEPT (pick-wt=13): 292 [] power_power_real(A,number_number_of_nat(B))=zero_zero_real|A!=zero_zero_real|number_number_of_nat(B)=zero_zero_nat. % 7.43/7.43 ** KEPT (pick-wt=9): 293 [] power_power_nat(A,number_number_of_nat(B))!=zero_zero_nat|A=zero_zero_nat. % 7.43/7.43 ** KEPT (pick-wt=10): 294 [] power_power_nat(A,number_number_of_nat(B))!=zero_zero_nat|number_number_of_nat(B)!=zero_zero_nat. % 7.43/7.43 ** KEPT (pick-wt=13): 295 [] power_power_nat(A,number_number_of_nat(B))=zero_zero_nat|A!=zero_zero_nat|number_number_of_nat(B)=zero_zero_nat. % 7.43/7.43 ** KEPT (pick-wt=11): 296 [] -is_int(A)|power_power_int(A,number_number_of_nat(B))!=zero_zero_int|A=zero_zero_int. % 7.43/7.43 ** KEPT (pick-wt=12): 297 [] -is_int(A)|power_power_int(A,number_number_of_nat(B))!=zero_zero_int|number_number_of_nat(B)!=zero_zero_nat. % 7.43/7.43 ** KEPT (pick-wt=15): 298 [] -is_int(A)|power_power_int(A,number_number_of_nat(B))=zero_zero_int|A!=zero_zero_int|number_number_of_nat(B)=zero_zero_nat. % 7.43/7.43 ** KEPT (pick-wt=11): 299 [] -ord_less_int(zero_zero_int,A)| -ord_less_int(zero_zero_int,times_times_int(A,B))|ord_less_int(zero_zero_int,B). % 7.43/7.43 ** KEPT (pick-wt=11): 300 [] -ord_less_e_q_int(zero_zero_int,A)| -ord_less_e_q_int(zero_zero_int,B)|ord_less_e_q_int(zero_zero_int,times_times_int(A,B)). % 7.43/7.43 ** KEPT (pick-wt=11): 301 [] -ord_less_e_q_int(zero_zero_int,A)| -ord_less_e_q_int(zero_zero_int,B)|ord_less_e_q_int(zero_zero_int,plus_plus_int(A,B)). % 7.43/7.43 ** KEPT (pick-wt=8): 302 [] -ord_less_e_q_int(zero_zero_int,A)|ord_less_e_q_int(zero_zero_int,power_power_int(A,B)). % 7.43/7.43 ** KEPT (pick-wt=10): 303 [] number_number_of_nat(A)!=zero_zero_nat|power_power_real(zero_zero_real,number_number_of_nat(A))=one_one_real. % 7.43/7.43 ** KEPT (pick-wt=10): 304 [] number_number_of_nat(A)!=zero_zero_nat|power_power_nat(zero_zero_nat,number_number_of_nat(A))=one_one_nat. % 7.43/7.43 ** KEPT (pick-wt=10): 305 [] number_number_of_nat(A)!=zero_zero_nat|power_power_int(zero_zero_int,number_number_of_nat(A))=one_one_int. % 7.43/7.43 ** KEPT (pick-wt=16): 306 [] -ord_less_e_q_int(zero_zero_int,plus_plus_int(times_times_int(A,B),C))| -ord_less_int(C,A)| -ord_less_int(zero_zero_int,A)|ord_less_e_q_int(zero_zero_int,B). % 7.43/7.43 ** KEPT (pick-wt=16): 307 [] -ord_less_int(plus_plus_int(times_times_int(A,B),C),zero_zero_int)| -ord_less_e_q_int(zero_zero_int,C)| -ord_less_int(zero_zero_int,A)|ord_less_e_q_int(B,zero_zero_int). % 7.43/7.43 ** KEPT (pick-wt=23): 308 [] -ord_less_e_q_int(plus_plus_int(times_times_int(A,B),C),plus_plus_int(times_times_int(A,D),E))| -ord_less_e_q_int(zero_zero_int,C)| -ord_less_int(C,A)| -ord_less_int(E,A)|ord_less_e_q_int(B,D). % 7.43/7.43 ** KEPT (pick-wt=33): 309 [] plus_plus_int(times_times_int(A,B),C)!=plus_plus_int(times_times_int(D,E),F)| -ord_less_e_q_int(zero_zero_int,plus_plus_int(times_times_int(D,E),F))| -ord_less_int(F,D)| -ord_less_e_q_int(zero_zero_int,C)| -ord_less_int(zero_zero_int,D)| -ord_less_e_q_int(D,A)|ord_less_e_q_int(B,E). % 7.43/7.43 ** KEPT (pick-wt=23): 310 [] -ord_less_e_q_int(plus_plus_int(times_times_int(A,B),C),plus_plus_int(times_times_int(A,D),E))| -ord_less_e_q_int(E,zero_zero_int)| -ord_less_int(A,E)| -ord_less_int(A,C)|ord_less_e_q_int(D,B). % 7.43/7.43 ** KEPT (pick-wt=33): 311 [] plus_plus_int(times_times_int(A,B),C)!=plus_plus_int(times_times_int(D,E),F)| -ord_less_int(plus_plus_int(times_times_int(D,E),F),zero_zero_int)| -ord_less_int(C,A)| -ord_less_e_q_int(zero_zero_int,F)| -ord_less_int(zero_zero_int,D)| -ord_less_e_q_int(D,A)|ord_less_e_q_int(E,B). % 7.43/7.43 ** KEPT (pick-wt=16): 312 [] zcong(A,zero_zero_int,B)| -zcong(power_power_int(C,number_number_of_nat(bit0(bit1(pls)))),A,B)| -dvd_dvd_int(B,C). % 7.43/7.43 ** KEPT (pick-wt=7): 313 [] -is_int(A)| -zprime(A)|ord_less_int(one_one_int,A). % 7.43/7.43 ** KEPT (pick-wt=18): 314 [] -is_int(A)| -zprime(A)| -is_int(B)| -ord_less_e_q_int(zero_zero_int,B)| -dvd_dvd_int(B,A)|B=one_one_int|B=A. % 7.43/7.43 ** KEPT (pick-wt=10): 315 [] -is_int(A)|zprime(A)| -ord_less_int(one_one_int,A)|is_int($f1(A)). % 7.43/7.43 ** KEPT (pick-wt=11): 316 [] -is_int(A)|zprime(A)| -ord_less_int(one_one_int,A)|ord_less_e_q_int(zero_zero_int,$f1(A)). % 7.43/7.43 ** KEPT (pick-wt=11): 317 [] -is_int(A)|zprime(A)| -ord_less_int(one_one_int,A)|dvd_dvd_int($f1(A),A). % 7.43/7.43 ** KEPT (pick-wt=11): 318 [] -is_int(A)|zprime(A)| -ord_less_int(one_one_int,A)|$f1(A)!=one_one_int. % 7.43/7.44 ** KEPT (pick-wt=11): 319 [] -is_int(A)|zprime(A)| -ord_less_int(one_one_int,A)|$f1(A)!=A. % 7.43/7.44 ** KEPT (pick-wt=23): 320 [] -is_int(A)| -zprime(A)|A=number_number_of_int(bit0(bit1(pls)))|A=number_number_of_int(bit1(bit1(pls)))|ord_less_e_q_int(number_number_of_int(bit1(bit0(bit1(pls)))),A). % 7.43/7.44 ** KEPT (pick-wt=9): 322 [copy,321,flip.2] -is_int(A)|bit1(A)!=min|min=A. % 7.43/7.44 ** KEPT (pick-wt=9): 324 [copy,323,flip.2] -is_int(A)|bit1(A)=min|min!=A. % 7.43/7.44 ** KEPT (pick-wt=9): 325 [] -is_int(A)|bit1(A)!=min|A=min. % 7.43/7.44 ** KEPT (pick-wt=9): 326 [] -is_int(A)|bit1(A)=min|A!=min. % 7.43/7.44 ** KEPT (pick-wt=3): 328 [copy,327,flip.1] pls!=min. % 7.43/7.44 Following clause subsumed by 328 during input processing: 0 [] pls!=min. % 7.43/7.44 ** KEPT (pick-wt=4): 330 [copy,329,flip.1] bit0(A)!=min. % 7.43/7.44 Following clause subsumed by 330 during input processing: 0 [] bit0(A)!=min. % 7.43/7.44 ** KEPT (pick-wt=3): 331 [] -ord_less_int(min,min). % 7.43/7.44 ** KEPT (pick-wt=7): 332 [] -ord_less_int(bit1(A),min)|ord_less_int(A,min). % 7.43/7.44 ** KEPT (pick-wt=7): 333 [] ord_less_int(bit1(A),min)| -ord_less_int(A,min). % 7.43/7.44 ** KEPT (pick-wt=7): 334 [] -ord_less_int(min,bit1(A))|ord_less_int(min,A). % 7.43/7.44 ** KEPT (pick-wt=7): 335 [] ord_less_int(min,bit1(A))| -ord_less_int(min,A). % 7.43/7.44 ** KEPT (pick-wt=3): 336 [] -ord_less_int(pls,min). % 7.43/7.44 ** KEPT (pick-wt=7): 337 [] -ord_less_int(min,bit0(A))|ord_less_int(min,A). % 7.43/7.44 ** KEPT (pick-wt=7): 338 [] ord_less_int(min,bit0(A))| -ord_less_int(min,A). % 7.43/7.44 ** KEPT (pick-wt=7): 339 [] -ord_less_e_q_int(min,bit1(A))|ord_less_e_q_int(min,A). % 7.43/7.44 ** KEPT (pick-wt=7): 340 [] ord_less_e_q_int(min,bit1(A))| -ord_less_e_q_int(min,A). % 7.43/7.44 ** KEPT (pick-wt=7): 341 [] -ord_less_e_q_int(bit1(A),min)|ord_less_e_q_int(A,min). % 7.43/7.44 ** KEPT (pick-wt=7): 342 [] ord_less_e_q_int(bit1(A),min)| -ord_less_e_q_int(A,min). % 7.43/7.44 ** KEPT (pick-wt=3): 343 [] -ord_less_e_q_int(pls,min). % 7.43/7.44 ** KEPT (pick-wt=7): 344 [] -ord_less_e_q_int(bit0(A),min)|ord_less_e_q_int(A,min). % 7.43/7.44 ** KEPT (pick-wt=7): 345 [] ord_less_e_q_int(bit0(A),min)| -ord_less_e_q_int(A,min). % 7.43/7.44 ** KEPT (pick-wt=5): 346 [] number_number_of_int(pls)!=number_number_of_int(min). % 7.43/7.44 ** KEPT (pick-wt=7): 347 [] -ord_less_int(bit0(A),min)|ord_less_e_q_int(A,min). % 7.43/7.44 ** KEPT (pick-wt=7): 348 [] ord_less_int(bit0(A),min)| -ord_less_e_q_int(A,min). % 7.43/7.44 ** KEPT (pick-wt=7): 349 [] -ord_less_e_q_int(min,bit0(A))|ord_less_int(min,A). % 7.43/7.44 ** KEPT (pick-wt=7): 350 [] ord_less_e_q_int(min,bit0(A))| -ord_less_int(min,A). % 7.43/7.44 ** KEPT (pick-wt=16): 351 [] -is_int(A)| -is_int(B)|times_times_int(A,B)!=one_one_int|A=one_one_int|A=number_number_of_int(min). % 7.43/7.44 ** KEPT (pick-wt=16): 352 [] -is_int(A)| -is_int(B)|times_times_int(A,B)!=one_one_int|A=one_one_int|B=number_number_of_int(min). % 7.43/7.44 ** KEPT (pick-wt=16): 353 [] -is_int(A)| -is_int(B)|times_times_int(A,B)!=one_one_int|B=one_one_int|A=number_number_of_int(min). % 7.43/7.44 ** KEPT (pick-wt=16): 354 [] -is_int(A)| -is_int(B)|times_times_int(A,B)!=one_one_int|B=one_one_int|B=number_number_of_int(min). % 7.43/7.44 ** KEPT (pick-wt=15): 355 [] -is_int(A)| -is_int(B)|times_times_int(A,B)=one_one_int|A!=one_one_int|B!=one_one_int. % 7.43/7.44 ** KEPT (pick-wt=17): 356 [] -is_int(A)| -is_int(B)|times_times_int(A,B)=one_one_int|A!=number_number_of_int(min)|B!=number_number_of_int(min). % 7.43/7.44 ** KEPT (pick-wt=14): 357 [] -is_int(A)|times_times_int(A,B)!=one_one_int|A=one_one_int|A=number_number_of_int(min). % 7.43/7.44 ** KEPT (pick-wt=8): 358 [] -zcong(A,B,C)|zcong(B,A,C). % 7.43/7.44 Following clause subsumed by 358 during input processing: 0 [] zcong(A,B,C)| -zcong(B,A,C). % 7.43/7.44 ** KEPT (pick-wt=12): 359 [] -zcong(A,B,C)| -zcong(B,D,C)|zcong(A,D,C). % 7.43/7.44 ** KEPT (pick-wt=9): 360 [] -ord_less_e_q_real(A,B)|A=B|ord_less_real(A,B). % 7.43/7.44 ** KEPT (pick-wt=9): 361 [] -ord_less_e_q_nat(A,B)|A=B|ord_less_nat(A,B). % 7.43/7.44 Following clause subsumed by 46 during input processing: 0 [] -is_int(A)| -is_int(B)| -ord_less_e_q_int(A,B)|A=B|ord_less_int(A,B). % 7.43/7.44 ** KEPT (pick-wt=12): 362 [] -ord_less_int(A,B)| -ord_less_int(C,B)|ord_less_e_q_int(A,C)|ord_less_e_q_int(C,A). % 7.43/7.44 ** KEPT (pick-wt=11): 363 [] -is_int(A)| -is_int(B)| -zcong(A,B,zero_zero_int)|A=B. % 7.43/7.44 ** KEPT (pick-wt=11): 364 [] -is_int(A)| -is_int(B)|zcong(A,B,zero_zero_int)|A!=B. % 7.43/7.44 ** KEPT (pick-wt=12): 365 [] -zcong(A,B,C)|zcong(times_times_int(A,D),times_times_int(B,D),C). % 7.43/7.44 ** KEPT (pick-wt=12): 366 [] -zcong(A,B,C)|zcong(times_times_int(D,A),times_times_int(D,B),C). % 7.43/7.44 ** KEPT (pick-wt=16): 367 [] -zcong(A,B,C)| -zcong(D,E,C)|zcong(times_times_int(A,D),times_times_int(B,E),C). % 7.43/7.44 ** KEPT (pick-wt=16): 368 [] -zcong(A,B,C)| -zcong(D,E,C)|zcong(plus_plus_int(A,D),plus_plus_int(B,E),C). % 7.43/7.44 ** KEPT (pick-wt=16): 369 [] -ord_less_int(zero_zero_int,A)| -ord_less_int(A,B)| -ord_less_int(zero_zero_int,C)| -ord_less_int(C,A)| -zcong(A,C,B). % 7.43/7.44 ** KEPT (pick-wt=11): 370 [] -is_int(A)| -zcong(B,A,C)|is_int($f2(B,A,C)). % 7.43/7.44 ** KEPT (pick-wt=16): 372 [copy,371,flip.3] -is_int(A)| -zcong(B,A,C)|plus_plus_int(B,times_times_int(C,$f2(B,A,C)))=A. % 7.43/7.44 ** KEPT (pick-wt=15): 373 [] -is_int(A)|zcong(B,A,C)| -is_int(D)|A!=plus_plus_int(B,times_times_int(C,D)). % 7.43/7.44 ** KEPT (pick-wt=15): 374 [] -is_int(A)| -ord_less_e_q_int(zero_zero_int,A)| -ord_less_int(A,B)| -zcong(A,zero_zero_int,B)|A=zero_zero_int. % 7.43/7.44 ** KEPT (pick-wt=23): 375 [] -is_int(A)| -is_int(B)| -ord_less_e_q_int(zero_zero_int,B)| -ord_less_int(B,C)| -ord_less_e_q_int(zero_zero_int,A)| -ord_less_int(A,C)| -zcong(B,A,C)|B=A. % 7.43/7.44 ** KEPT (pick-wt=14): 376 [] -zcong(power_power_int(A,B),one_one_int,C)|zcong(power_power_int(A,times_times_nat(B,D)),one_one_int,C). % 7.43/7.44 ** KEPT (pick-wt=16): 377 [] -ord_less_e_q_int(zero_zero_int,A)| -zprime(B)| -dvd_dvd_int(B,times_times_int(A,C))|dvd_dvd_int(B,A)|dvd_dvd_int(B,C). % 7.43/7.44 ** KEPT (pick-wt=25): 378 [] -ord_less_int(number_number_of_int(bit0(bit1(pls))),A)| -zcong(power_power_int(number_number_of_int(min),B),power_power_int(number_number_of_int(min),C),A)|power_power_int(number_number_of_int(min),B)=power_power_int(number_number_of_int(min),C). % 7.43/7.44 ** KEPT (pick-wt=15): 379 [] -ord_less_int(number_number_of_int(bit0(bit1(pls))),A)| -zcong(B,number_number_of_int(min),A)| -zcong(B,one_one_int,A). % 7.43/7.44 ** KEPT (pick-wt=26): 380 [] quadRes(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),number_number_of_int(min))|legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int))!=one_one_int. % 7.43/7.44 ** KEPT (pick-wt=8): 381 [] -ord_less_real(zero_zero_real,times_times_real(A,A))|A!=zero_zero_real. % 7.43/7.44 ** KEPT (pick-wt=16): 382 [] -zcong(A,B,C)| -zcong(D,E,C)|zcong(minus_minus_int(A,D),minus_minus_int(B,E),C). % 7.43/7.44 ** KEPT (pick-wt=11): 383 [] -dvd_dvd_int(A,minus_minus_int(B,C))| -dvd_dvd_int(A,C)|dvd_dvd_int(A,B). % 7.43/7.44 ** KEPT (pick-wt=7): 384 [] -is_int(A)|minus_minus_int(A,pls)=A. % 7.43/7.44 ** KEPT (pick-wt=12): 385 [] -is_int(A)|minus_minus_int(A,B)!=C|A=plus_plus_int(C,B). % 7.43/7.44 ** KEPT (pick-wt=8): 386 [] -ord_less_int(A,B)|ord_less_int(minus_minus_int(A,B),zero_zero_int). % 7.43/7.44 ** KEPT (pick-wt=8): 387 [] ord_less_int(A,B)| -ord_less_int(minus_minus_int(A,B),zero_zero_int). % 7.43/7.44 ** KEPT (pick-wt=9): 388 [] -zcong(A,B,C)|dvd_dvd_int(C,minus_minus_int(A,B)). % 7.43/7.44 ** KEPT (pick-wt=9): 389 [] zcong(A,B,C)| -dvd_dvd_int(C,minus_minus_int(A,B)). % 7.43/7.44 ** KEPT (pick-wt=18): 390 [] -is_int(A)| -ord_less_int(zero_zero_int,A)| -ord_less_int(A,B)|A=minus_minus_int(B,one_one_int)|ord_less_int(A,minus_minus_int(B,one_one_int)). % 7.43/7.44 ** KEPT (pick-wt=8): 391 [] -ord_less_e_q_int(A,minus_minus_int(B,one_one_int))|ord_less_int(A,B). % 7.43/7.44 ** KEPT (pick-wt=8): 392 [] ord_less_e_q_int(A,minus_minus_int(B,one_one_int))| -ord_less_int(A,B). % 7.43/7.44 ** KEPT (pick-wt=14): 393 [] -zcong(times_times_int(A,minus_minus_int(B,one_one_int)),one_one_int,B)|zcong(A,minus_minus_int(B,one_one_int),B). % 7.43/7.44 ** KEPT (pick-wt=14): 394 [] zcong(times_times_int(A,minus_minus_int(B,one_one_int)),one_one_int,B)| -zcong(A,minus_minus_int(B,one_one_int),B). % 7.43/7.44 ** KEPT (pick-wt=15): 395 [] -zcong(A,B,C)|B!=D| -zcong(D,E,C)|zcong(A,E,C). % 7.43/7.44 ** KEPT (pick-wt=24): 396 [] -is_int(A)| -zprime(B)| -ord_less_int(zero_zero_int,A)| -ord_less_int(A,B)| -zcong(times_times_int(A,A),one_one_int,B)|A=one_one_int|A=minus_minus_int(B,one_one_int). % 7.43/7.44 ** KEPT (pick-wt=21): 397 [] -zprime(A)| -ord_less_int(zero_zero_int,B)| -zcong(times_times_int(B,B),one_one_int,A)|zcong(B,one_one_int,A)|zcong(B,minus_minus_int(A,one_one_int),A). % 7.43/7.44 ** KEPT (pick-wt=16): 398 [] -zcong(A,B,C)| -zcong(D,times_times_int(E,A),C)|zcong(D,times_times_int(E,B),C). % 7.43/7.44 ** KEPT (pick-wt=16): 399 [] -zcong(A,B,C)|zcong(D,times_times_int(E,A),C)| -zcong(D,times_times_int(E,B),C). % 7.43/7.44 ** KEPT (pick-wt=16): 400 [] -zcong(A,B,C)| -zcong(D,times_times_int(A,E),C)|zcong(D,times_times_int(B,E),C). % 7.43/7.44 ** KEPT (pick-wt=16): 401 [] -zcong(A,B,C)|zcong(D,times_times_int(A,E),C)| -zcong(D,times_times_int(B,E),C). % 7.43/7.44 ** KEPT (pick-wt=12): 402 [] -zcong(A,B,C)|zcong(plus_plus_int(A,D),plus_plus_int(B,D),C). % 7.43/7.44 ** KEPT (pick-wt=12): 403 [] -zcong(A,B,C)|zcong(power_power_int(A,D),power_power_int(B,D),C). % 7.43/7.44 ** KEPT (pick-wt=26): 404 [] -is_int(A)| -is_int(B)| -ord_less_int(zero_zero_int,B)| -ord_less_int(zero_zero_int,A)| -ord_less_int(zero_zero_int,C)| -zcong(B,A,C)| -ord_less_int(B,C)| -ord_less_int(A,C)|B=A. % 7.43/7.44 ** KEPT (pick-wt=10): 405 [] -ord_less_int(zero_zero_int,A)| -ord_less_int(A,B)| -zcong(A,zero_zero_int,B). % 7.43/7.44 ** KEPT (pick-wt=9): 406 [] -dvd_dvd_int(A,B)|ord_less_e_q_int(B,zero_zero_int)|ord_less_e_q_int(A,B). % 7.43/7.44 ** KEPT (pick-wt=7): 407 [] -zcong(A,zero_zero_int,B)|dvd_dvd_int(B,A). % 7.43/7.44 ** KEPT (pick-wt=7): 408 [] zcong(A,zero_zero_int,B)| -dvd_dvd_int(B,A). % 7.43/7.44 Following clause subsumed by 407 during input processing: 0 [] -zcong(A,zero_zero_int,B)|dvd_dvd_int(B,A). % 7.43/7.44 Following clause subsumed by 408 during input processing: 0 [] zcong(A,zero_zero_int,B)| -dvd_dvd_int(B,A). % 7.43/7.44 ** KEPT (pick-wt=13): 409 [] -zprime(A)| -dvd_dvd_int(A,times_times_int(B,C))|dvd_dvd_int(A,B)|dvd_dvd_int(A,C). % 7.43/7.44 Following clause subsumed by 374 during input processing: 0 [] -is_int(A)| -ord_less_e_q_int(zero_zero_int,A)| -ord_less_int(A,B)| -zcong(A,zero_zero_int,B)|A=zero_zero_int. % 7.43/7.44 ** KEPT (pick-wt=11): 410 [] -ord_less_nat(zero_zero_nat,A)| -dvd_dvd_int(B,C)|dvd_dvd_int(B,power_power_int(C,A)). % 7.43/7.44 ** KEPT (pick-wt=16): 411 [] -zprime(A)|zcong(B,zero_zero_int,A)|zcong(C,zero_zero_int,A)| -zcong(times_times_int(B,C),zero_zero_int,A). % 7.43/7.44 Following clause subsumed by 411 during input processing: 0 [] -zprime(A)| -ord_less_int(zero_zero_int,B)|zcong(B,zero_zero_int,A)|zcong(C,zero_zero_int,A)| -zcong(times_times_int(B,C),zero_zero_int,A). % 7.43/7.44 Following clause subsumed by 411 during input processing: 0 [] -zprime(A)| -ord_less_int(zero_zero_int,B)| -zcong(times_times_int(B,C),zero_zero_int,A)|zcong(B,zero_zero_int,A)|zcong(C,zero_zero_int,A). % 7.43/7.44 Following clause subsumed by 246 during input processing: 0 [] -zprime(A)| -dvd_dvd_int(A,power_power_int(B,C))| -ord_less_nat(zero_zero_nat,C)|dvd_dvd_int(A,B). % 7.43/7.44 ** KEPT (pick-wt=24): 412 [] -zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),A),one_one_int))|legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),A),one_one_int))=one_one_int. % 7.43/7.44 ** KEPT (pick-wt=11): 413 [] -ord_less_int(number_number_of_int(bit0(bit1(pls))),A)| -zcong(one_one_int,number_number_of_int(min),A). % 7.43/7.44 ** KEPT (pick-wt=9): 414 [] -zcong(A,zero_zero_int,B)|legendre(A,B)=zero_zero_int. % 7.43/7.44 ** KEPT (pick-wt=12): 415 [] zcong(A,zero_zero_int,B)| -quadRes(B,A)|legendre(A,B)=one_one_int. % 7.43/7.44 ** KEPT (pick-wt=7): 416 [] -quadRes(A,B)|is_int($f3(A,B)). % 7.43/7.44 ** KEPT (pick-wt=14): 417 [] -quadRes(A,B)|zcong(power_power_int($f3(A,B),number_number_of_nat(bit0(bit1(pls)))),B,A). % 7.43/7.44 ** KEPT (pick-wt=14): 418 [] quadRes(A,B)| -is_int(C)| -zcong(power_power_int(C,number_number_of_nat(bit0(bit1(pls)))),B,A). % 7.43/7.44 ** KEPT (pick-wt=8): 419 [] A!=zero_zero_nat|times_times_nat(A,B)=zero_zero_nat. % 7.43/7.44 ** KEPT (pick-wt=8): 420 [] A!=zero_zero_nat|power_power_nat(B,A)=one_one_nat. % 7.43/7.44 Following clause subsumed by 18 during input processing: 0 [] plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|A=zero_zero_real. % 7.43/7.44 Following clause subsumed by 19 during input processing: 0 [] plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|B=zero_zero_real. % 7.43/7.44 Following clause subsumed by 20 during input processing: 0 [] plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real. % 7.43/7.44 ** KEPT (pick-wt=3): 421 [] zero_zero_real!=one_one_real. % 7.43/7.44 ** KEPT (pick-wt=8): 422 [] -ord_less_e_q_real(A,B)|ord_less_e_q_real(minus_minus_real(A,B),zero_zero_real). % 7.43/7.44 ** KEPT (pick-wt=8): 423 [] ord_less_e_q_real(A,B)| -ord_less_e_q_real(minus_minus_real(A,B),zero_zero_real). % 7.43/7.44 ** KEPT (pick-wt=6): 424 [] -ord_less_real(A,B)|ord_less_e_q_real(A,B). % 7.43/7.44 ** KEPT (pick-wt=6): 425 [] -ord_less_real(A,B)|A!=B. % 7.43/7.44 Following clause subsumed by 360 during input processing: 0 [] ord_less_real(A,B)| -ord_less_e_q_real(A,B)|A=B. % 7.43/7.44 Following clause subsumed by 360 during input processing: 0 [] -ord_less_e_q_real(A,B)|ord_less_real(A,B)|A=B. % 7.43/7.44 Following clause subsumed by 424 during input processing: 0 [] ord_less_e_q_real(A,B)| -ord_less_real(A,B). % 7.43/7.44 ** KEPT (pick-wt=6): 426 [] ord_less_e_q_real(A,B)|A!=B. % 7.43/7.44 ** KEPT (pick-wt=10): 427 [] -ord_less_e_q_real(A,B)|ord_less_e_q_real(plus_plus_real(C,A),plus_plus_real(C,B)). % 7.43/7.44 ** KEPT (pick-wt=13): 428 [] A=zero_zero_real|times_times_real(A,B)!=times_times_real(A,C)|B=C. % 7.43/7.44 ** KEPT (pick-wt=13): 429 [] A=zero_zero_real|times_times_real(A,B)=times_times_real(A,C)|B!=C. % 7.43/7.44 ** KEPT (pick-wt=13): 430 [] A=zero_zero_real|times_times_real(B,A)!=times_times_real(C,A)|B=C. % 7.43/7.44 ** KEPT (pick-wt=13): 431 [] A=zero_zero_real|times_times_real(B,A)=times_times_real(C,A)|B!=C. % 7.43/7.44 ** KEPT (pick-wt=8): 432 [] times_times_nat(A,B)!=one_one_nat|A=one_one_nat. % 7.43/7.44 ** KEPT (pick-wt=8): 433 [] times_times_nat(A,B)!=one_one_nat|B=one_one_nat. % 7.43/7.44 ** KEPT (pick-wt=11): 434 [] times_times_nat(A,B)=one_one_nat|A!=one_one_nat|B!=one_one_nat. % 7.43/7.44 ** KEPT (pick-wt=8): 435 [] power_power_nat(A,B)!=zero_zero_nat|B!=zero_zero_nat. % 7.43/7.44 ** KEPT (pick-wt=8): 436 [] power_power_nat(A,B)!=zero_zero_nat|A=zero_zero_nat. % 7.43/7.44 ** KEPT (pick-wt=11): 437 [] power_power_nat(A,B)=zero_zero_nat|B=zero_zero_nat|A!=zero_zero_nat. % 7.43/7.44 ** KEPT (pick-wt=13): 438 [] -ord_less_real(zero_zero_real,A)| -ord_less_e_q_real(times_times_real(B,A),times_times_real(C,A))|ord_less_e_q_real(B,C). % 7.43/7.44 ** KEPT (pick-wt=13): 439 [] -ord_less_real(zero_zero_real,A)|ord_less_e_q_real(times_times_real(B,A),times_times_real(C,A))| -ord_less_e_q_real(B,C). % 7.43/7.44 ** KEPT (pick-wt=13): 440 [] -ord_less_real(zero_zero_real,A)| -ord_less_e_q_real(times_times_real(A,B),times_times_real(A,C))|ord_less_e_q_real(B,C). % 7.43/7.44 ** KEPT (pick-wt=13): 441 [] -ord_less_real(zero_zero_real,A)|ord_less_e_q_real(times_times_real(A,B),times_times_real(A,C))| -ord_less_e_q_real(B,C). % 7.43/7.44 ** KEPT (pick-wt=13): 442 [] -ord_less_real(zero_zero_real,A)| -ord_less_real(B,C)|ord_less_real(times_times_real(A,B),times_times_real(A,C)). % 7.43/7.44 ** KEPT (pick-wt=11): 443 [] -ord_less_real(zero_zero_real,A)| -ord_less_real(zero_zero_real,B)|ord_less_real(zero_zero_real,times_times_real(A,B)). % 7.43/7.44 ** KEPT (pick-wt=13): 444 [] -ord_less_real(zero_zero_real,A)| -ord_less_real(times_times_real(B,A),times_times_real(C,A))|ord_less_real(B,C). % 7.43/7.44 ** KEPT (pick-wt=13): 445 [] -ord_less_real(zero_zero_real,A)|ord_less_real(times_times_real(B,A),times_times_real(C,A))| -ord_less_real(B,C). % 7.43/7.44 Following clause subsumed by 137 during input processing: 0 [] plus_plus_real(times_times_real(A,A),times_times_real(B,B))!=zero_zero_real|A=zero_zero_real. % 7.43/7.44 Following clause subsumed by 138 during input processing: 0 [] plus_plus_real(times_times_real(A,A),times_times_real(B,B))!=zero_zero_real|B=zero_zero_real. % 7.43/7.44 Following clause subsumed by 139 during input processing: 0 [] plus_plus_real(times_times_real(A,A),times_times_real(B,B))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real. % 7.43/7.44 ** KEPT (pick-wt=11): 446 [] power_power_nat(A,B)!=one_one_nat|A=one_one_nat|B=zero_zero_nat. % 7.43/7.44 ** KEPT (pick-wt=8): 447 [] power_power_nat(A,B)=one_one_nat|A!=one_one_nat. % 7.43/7.44 Following clause subsumed by 420 during input processing: 0 [] power_power_nat(A,B)=one_one_nat|B!=zero_zero_nat. % 7.43/7.44 ** KEPT (pick-wt=14): 448 [] -ord_less_nat(zero_zero_nat,A)|times_times_real(power_power_real(B,minus_minus_nat(A,one_one_nat)),B)=power_power_real(B,A). % 7.43/7.44 ** KEPT (pick-wt=14): 449 [] -ord_less_nat(zero_zero_nat,A)|times_times_nat(power_power_nat(B,minus_minus_nat(A,one_one_nat)),B)=power_power_nat(B,A). % 7.43/7.44 ** KEPT (pick-wt=14): 450 [] -ord_less_nat(zero_zero_nat,A)|times_times_int(power_power_int(B,minus_minus_nat(A,one_one_nat)),B)=power_power_int(B,A). % 7.43/7.44 ** KEPT (pick-wt=8): 451 [] A!=zero_zero_nat|power_power_real(B,A)=one_one_real. % 7.43/7.44 Following clause subsumed by 420 during input processing: 0 [] A!=zero_zero_nat|power_power_nat(B,A)=one_one_nat. % 7.43/7.44 ** KEPT (pick-wt=8): 452 [] A!=zero_zero_nat|power_power_int(B,A)=one_one_int. % 7.43/7.44 ** KEPT (pick-wt=16): 453 [] -ord_less_real(A,B)| -ord_less_e_q_real(zero_zero_real,A)| -ord_less_nat(zero_zero_nat,C)|ord_less_real(power_power_real(A,C),power_power_real(B,C)). % 7.43/7.44 ** KEPT (pick-wt=16): 454 [] -ord_less_nat(A,B)| -ord_less_e_q_nat(zero_zero_nat,A)| -ord_less_nat(zero_zero_nat,C)|ord_less_nat(power_power_nat(A,C),power_power_nat(B,C)). % 7.43/7.44 ** KEPT (pick-wt=16): 455 [] -ord_less_int(A,B)| -ord_less_e_q_int(zero_zero_int,A)| -ord_less_nat(zero_zero_nat,C)|ord_less_int(power_power_int(A,C),power_power_int(B,C)). % 7.43/7.44 ** KEPT (pick-wt=9): 456 [] -ord_less_e_q_real(A,B)| -ord_less_e_q_real(B,C)|ord_less_e_q_real(A,C). % 7.43/7.44 ** KEPT (pick-wt=9): 457 [] -ord_less_e_q_real(A,B)| -ord_less_e_q_real(B,A)|A=B. % 7.43/7.44 ** KEPT (pick-wt=8): 458 [] A=zero_zero_real|power_power_real(A,B)!=zero_zero_real. % 7.43/7.44 ** KEPT (pick-wt=10): 459 [] -is_int(A)|A=zero_zero_int|power_power_int(A,B)!=zero_zero_int. % 7.43/7.44 ** KEPT (pick-wt=10): 460 [] -dvd_dvd_nat(A,B)|dvd_dvd_nat(power_power_nat(A,C),power_power_nat(B,C)). % 7.43/7.44 ** KEPT (pick-wt=10): 461 [] -dvd_dvd_int(A,B)|dvd_dvd_int(power_power_int(A,C),power_power_int(B,C)). % 7.43/7.44 ** KEPT (pick-wt=10): 462 [] -dvd_dvd_real(A,B)|dvd_dvd_real(power_power_real(A,C),power_power_real(B,C)). % 7.43/7.44 Following clause subsumed by 261 during input processing: 0 [] -is_int(A)|power_power_int(A,one_one_nat)=A. % 7.43/7.44 ** KEPT (pick-wt=13): 463 [] -ord_less_e_q_real(A,B)| -ord_less_e_q_real(zero_zero_real,A)|ord_less_e_q_real(power_power_real(A,C),power_power_real(B,C)). % 7.43/7.44 ** KEPT (pick-wt=13): 464 [] -ord_less_e_q_nat(A,B)| -ord_less_e_q_nat(zero_zero_nat,A)|ord_less_e_q_nat(power_power_nat(A,C),power_power_nat(B,C)). % 7.43/7.44 ** KEPT (pick-wt=13): 465 [] -ord_less_e_q_int(A,B)| -ord_less_e_q_int(zero_zero_int,A)|ord_less_e_q_int(power_power_int(A,C),power_power_int(B,C)). % 7.43/7.44 ** KEPT (pick-wt=8): 466 [] -ord_less_e_q_real(zero_zero_real,A)|ord_less_e_q_real(zero_zero_real,power_power_real(A,B)). % 7.43/7.44 ** KEPT (pick-wt=8): 467 [] -ord_less_e_q_nat(zero_zero_nat,A)|ord_less_e_q_nat(zero_zero_nat,power_power_nat(A,B)). % 7.43/7.44 Following clause subsumed by 302 during input processing: 0 [] -ord_less_e_q_int(zero_zero_int,A)|ord_less_e_q_int(zero_zero_int,power_power_int(A,B)). % 7.43/7.44 ** KEPT (pick-wt=8): 468 [] -ord_less_real(zero_zero_real,A)|ord_less_real(zero_zero_real,power_power_real(A,B)). % 7.43/7.44 Following clause subsumed by 245 during input processing: 0 [] -ord_less_nat(zero_zero_nat,A)|ord_less_nat(zero_zero_nat,power_power_nat(A,B)). % 7.43/7.44 ** KEPT (pick-wt=8): 469 [] -ord_less_int(zero_zero_int,A)|ord_less_int(zero_zero_int,power_power_int(A,B)). % 7.43/7.44 ** KEPT (pick-wt=8): 470 [] -ord_less_e_q_real(one_one_real,A)|ord_less_e_q_real(one_one_real,power_power_real(A,B)). % 7.43/7.44 ** KEPT (pick-wt=8): 471 [] -ord_less_e_q_nat(one_one_nat,A)|ord_less_e_q_nat(one_one_nat,power_power_nat(A,B)). % 7.43/7.44 ** KEPT (pick-wt=8): 472 [] -ord_less_e_q_int(one_one_int,A)|ord_less_e_q_int(one_one_int,power_power_int(A,B)). % 7.43/7.44 ** KEPT (pick-wt=13): 473 [] -ord_less_real(one_one_real,A)|power_power_real(A,B)!=power_power_real(A,C)|B=C. % 7.43/7.44 ** KEPT (pick-wt=13): 474 [] -ord_less_real(one_one_real,A)|power_power_real(A,B)=power_power_real(A,C)|B!=C. % 7.43/7.44 ** KEPT (pick-wt=13): 475 [] -ord_less_nat(one_one_nat,A)|power_power_nat(A,B)!=power_power_nat(A,C)|B=C. % 7.43/7.44 ** KEPT (pick-wt=13): 476 [] -ord_less_nat(one_one_nat,A)|power_power_nat(A,B)=power_power_nat(A,C)|B!=C. % 7.43/7.44 ** KEPT (pick-wt=13): 477 [] -ord_less_int(one_one_int,A)|power_power_int(A,B)!=power_power_int(A,C)|B=C. % 7.43/7.44 ** KEPT (pick-wt=13): 478 [] -ord_less_int(one_one_int,A)|power_power_int(A,B)=power_power_int(A,C)|B!=C. % 7.43/7.44 Following clause subsumed by 458 during input processing: 0 [] power_power_real(A,B)!=zero_zero_real|A=zero_zero_real. % 7.43/7.44 ** KEPT (pick-wt=8): 479 [] power_power_real(A,B)!=zero_zero_real|B!=zero_zero_nat. % 7.43/7.44 ** KEPT (pick-wt=11): 480 [] power_power_real(A,B)=zero_zero_real|A!=zero_zero_real|B=zero_zero_nat. % 7.43/7.44 Following clause subsumed by 436 during input processing: 0 [] power_power_nat(A,B)!=zero_zero_nat|A=zero_zero_nat. % 7.43/7.44 Following clause subsumed by 435 during input processing: 0 [] power_power_nat(A,B)!=zero_zero_nat|B!=zero_zero_nat. % 7.43/7.44 Following clause subsumed by 437 during input processing: 0 [] power_power_nat(A,B)=zero_zero_nat|A!=zero_zero_nat|B=zero_zero_nat. % 7.43/7.44 Following clause subsumed by 459 during input processing: 0 [] -is_int(A)|power_power_int(A,B)!=zero_zero_int|A=zero_zero_int. % 7.43/7.44 ** KEPT (pick-wt=10): 481 [] -is_int(A)|power_power_int(A,B)!=zero_zero_int|B!=zero_zero_nat. % 7.43/7.44 ** KEPT (pick-wt=13): 482 [] -is_int(A)|power_power_int(A,B)=zero_zero_int|A!=zero_zero_int|B=zero_zero_nat. % 7.43/7.44 ** KEPT (pick-wt=13): 483 [] -dvd_dvd_nat(power_power_nat(A,B),C)| -ord_less_e_q_nat(D,B)|dvd_dvd_nat(power_power_nat(A,D),C). % 7.43/7.44 ** KEPT (pick-wt=13): 484 [] -dvd_dvd_int(power_power_int(A,B),C)| -ord_less_e_q_nat(D,B)|dvd_dvd_int(power_power_int(A,D),C). % 7.43/7.44 ** KEPT (pick-wt=13): 485 [] -dvd_dvd_real(power_power_real(A,B),C)| -ord_less_e_q_nat(D,B)|dvd_dvd_real(power_power_real(A,D),C). % 7.43/7.44 ** KEPT (pick-wt=13): 486 [] -dvd_dvd_nat(A,B)| -ord_less_e_q_nat(C,D)|dvd_dvd_nat(power_power_nat(A,C),power_power_nat(B,D)). % 7.43/7.44 ** KEPT (pick-wt=13): 487 [] -dvd_dvd_int(A,B)| -ord_less_e_q_nat(C,D)|dvd_dvd_int(power_power_int(A,C),power_power_int(B,D)). % 7.43/7.44 ** KEPT (pick-wt=13): 488 [] -dvd_dvd_real(A,B)| -ord_less_e_q_nat(C,D)|dvd_dvd_real(power_power_real(A,C),power_power_real(B,D)). % 7.43/7.44 ** KEPT (pick-wt=10): 489 [] -ord_less_e_q_nat(A,B)|dvd_dvd_nat(power_power_nat(C,A),power_power_nat(C,B)). % 7.43/7.44 ** KEPT (pick-wt=10): 490 [] -ord_less_e_q_nat(A,B)|dvd_dvd_int(power_power_int(C,A),power_power_int(C,B)). % 7.43/7.44 ** KEPT (pick-wt=10): 491 [] -ord_less_e_q_nat(A,B)|dvd_dvd_real(power_power_real(C,A),power_power_real(C,B)). % 7.43/7.44 ** KEPT (pick-wt=13): 492 [] -ord_less_nat(zero_zero_nat,A)| -ord_less_nat(power_power_nat(A,B),power_power_nat(A,C))|ord_less_nat(B,C). % 7.43/7.44 Following clause subsumed by 243 during input processing: 0 [] -ord_less_nat(zero_zero_nat,power_power_nat(A,B))|ord_less_nat(zero_zero_nat,A)|B=zero_zero_nat. % 7.43/7.44 Following clause subsumed by 245 during input processing: 0 [] ord_less_nat(zero_zero_nat,power_power_nat(A,B))| -ord_less_nat(zero_zero_nat,A). % 7.43/7.44 Following clause subsumed by 244 during input processing: 0 [] ord_less_nat(zero_zero_nat,power_power_nat(A,B))|B!=zero_zero_nat. % 7.43/7.44 ** KEPT (pick-wt=13): 493 [] -ord_less_real(power_power_real(A,B),power_power_real(C,B))| -ord_less_e_q_real(zero_zero_real,C)|ord_less_real(A,C). % 7.43/7.44 ** KEPT (pick-wt=13): 494 [] -ord_less_nat(power_power_nat(A,B),power_power_nat(C,B))| -ord_less_e_q_nat(zero_zero_nat,C)|ord_less_nat(A,C). % 7.43/7.44 ** KEPT (pick-wt=13): 495 [] -ord_less_int(power_power_int(A,B),power_power_int(C,B))| -ord_less_e_q_int(zero_zero_int,C)|ord_less_int(A,C). % 7.43/7.44 ** KEPT (pick-wt=12): 496 [] -ord_less_real(one_one_real,A)|ord_less_real(power_power_real(A,B),times_times_real(A,power_power_real(A,B))). % 7.43/7.44 ** KEPT (pick-wt=12): 497 [] -ord_less_nat(one_one_nat,A)|ord_less_nat(power_power_nat(A,B),times_times_nat(A,power_power_nat(A,B))). % 7.43/7.44 ** KEPT (pick-wt=12): 498 [] -ord_less_int(one_one_int,A)|ord_less_int(power_power_int(A,B),times_times_int(A,power_power_int(A,B))). % 7.43/7.44 ** KEPT (pick-wt=10): 499 [] -ord_less_real(one_one_real,A)|ord_less_real(one_one_real,times_times_real(A,power_power_real(A,B))). % 7.43/7.44 ** KEPT (pick-wt=10): 500 [] -ord_less_nat(one_one_nat,A)|ord_less_nat(one_one_nat,times_times_nat(A,power_power_nat(A,B))). % 7.43/7.44 ** KEPT (pick-wt=10): 501 [] -ord_less_int(one_one_int,A)|ord_less_int(one_one_int,times_times_int(A,power_power_int(A,B))). % 7.43/7.44 Following clause subsumed by 451 during input processing: 0 [] A!=zero_zero_nat|power_power_real(zero_zero_real,A)=one_one_real. % 7.43/7.44 Following clause subsumed by 420 during input processing: 0 [] A!=zero_zero_nat|power_power_nat(zero_zero_nat,A)=one_one_nat. % 7.46/7.48 Following clause subsumed by 452 during input processing: 0 [] A!=zero_zero_nat|power_power_int(zero_zero_int,A)=one_one_int. % 7.46/7.48 ** KEPT (pick-wt=13): 502 [] -ord_less_nat(A,B)| -ord_less_real(one_one_real,C)|ord_less_real(power_power_real(C,A),power_power_real(C,B)). % 7.46/7.48 ** KEPT (pick-wt=13): 503 [] -ord_less_nat(A,B)| -ord_less_nat(one_one_nat,C)|ord_less_nat(power_power_nat(C,A),power_power_nat(C,B)). % 7.46/7.48 ** KEPT (pick-wt=13): 504 [] -ord_less_nat(A,B)| -ord_less_int(one_one_int,C)|ord_less_int(power_power_int(C,A),power_power_int(C,B)). % 7.46/7.48 ** KEPT (pick-wt=13): 505 [] -ord_less_real(one_one_real,A)| -ord_less_real(power_power_real(A,B),power_power_real(A,C))|ord_less_nat(B,C). % 7.46/7.48 ** KEPT (pick-wt=13): 506 [] -ord_less_nat(one_one_nat,A)| -ord_less_nat(power_power_nat(A,B),power_power_nat(A,C))|ord_less_nat(B,C). % 7.46/7.48 ** KEPT (pick-wt=13): 507 [] -ord_less_int(one_one_int,A)| -ord_less_int(power_power_int(A,B),power_power_int(A,C))|ord_less_nat(B,C). % 7.46/7.48 Following clause subsumed by 505 during input processing: 0 [] -ord_less_real(one_one_real,A)| -ord_less_real(power_power_real(A,B),power_power_real(A,C))|ord_less_nat(B,C). % 7.46/7.48 Following clause subsumed by 502 during input processing: 0 [] -ord_less_real(one_one_real,A)|ord_less_real(power_power_real(A,B),power_power_real(A,C))| -ord_less_nat(B,C). % 7.46/7.48 Following clause subsumed by 506 during input processing: 0 [] -ord_less_nat(one_one_nat,A)| -ord_less_nat(power_power_nat(A,B),power_power_nat(A,C))|ord_less_nat(B,C). % 7.46/7.48 Following clause subsumed by 503 during input processing: 0 [] -ord_less_nat(one_one_nat,A)|ord_less_nat(power_power_nat(A,B),power_power_nat(A,C))| -ord_less_nat(B,C). % 7.46/7.48 Following clause subsumed by 507 during input processing: 0 [] -ord_less_int(one_one_int,A)| -ord_less_int(power_power_int(A,B),power_power_int(A,C))|ord_less_nat(B,C). % 7.46/7.48 Following clause subsumed by 504 during input processing: 0 [] -ord_less_int(one_one_int,A)|ord_less_int(power_power_int(A,B),power_power_int(A,C))| -ord_less_nat(B,C). % 7.46/7.48 ** KEPT (pick-wt=13): 508 [] -ord_less_e_q_nat(A,B)| -ord_less_e_q_real(one_one_real,C)|ord_less_e_q_real(power_power_real(C,A),power_power_real(C,B)). % 7.46/7.48 ** KEPT (pick-wt=13): 509 [] -ord_less_e_q_nat(A,B)| -ord_less_e_q_nat(one_one_nat,C)|ord_less_e_q_nat(power_power_nat(C,A),power_power_nat(C,B)). % 7.46/7.48 ** KEPT (pick-wt=13): 510 [] -ord_less_e_q_nat(A,B)| -ord_less_e_q_int(one_one_int,C)|ord_less_e_q_int(power_power_int(C,A),power_power_int(C,B)). % 7.46/7.48 ** KEPT (pick-wt=15): 511 [] -ord_less_real(zero_zero_real,A)| -ord_less_real(A,one_one_real)|ord_less_real(times_times_real(A,power_power_real(A,B)),power_power_real(A,B)). % 7.46/7.48 ** KEPT (pick-wt=15): 512 [] -ord_less_nat(zero_zero_nat,A)| -ord_less_nat(A,one_one_nat)|ord_less_nat(times_times_nat(A,power_power_nat(A,B)),power_power_nat(A,B)). % 7.46/7.48 ** KEPT (pick-wt=15): 513 [] -ord_less_int(zero_zero_int,A)| -ord_less_int(A,one_one_int)|ord_less_int(times_times_int(A,power_power_int(A,B)),power_power_int(A,B)). % 7.46/7.48 ** KEPT (pick-wt=16): 514 [] -ord_less_nat(A,B)| -ord_less_int(zero_zero_int,C)| -ord_less_int(C,one_one_int)|ord_less_int(power_power_int(C,B),power_power_int(C,A)). % 7.46/7.48 ** KEPT (pick-wt=11): 515 [] -ord_less_nat(zero_zero_nat,A)| -ord_less_real(zero_zero_real,B)|ord_less_real(zero_zero_real,$f4(B,A)). % 7.46/7.48 ** KEPT (pick-wt=13): 516 [] -ord_less_nat(zero_zero_nat,A)| -ord_less_real(zero_zero_real,B)|power_power_real($f4(B,A),A)=B. % 7.46/7.48 ** KEPT (pick-wt=19): 517 [] -ord_less_nat(zero_zero_nat,A)| -ord_less_real(zero_zero_real,B)| -ord_less_real(zero_zero_real,C)|power_power_real(C,A)!=B|C=$f4(B,A). % 7.46/7.48 ** KEPT (pick-wt=9): 518 [] -dvd_dvd_nat(A,B)|B=zero_zero_nat|ord_less_e_q_nat(A,B). % 7.46/7.48 Following clause subsumed by 460 during input processing: 0 [] -dvd_dvd_nat(A,B)|dvd_dvd_nat(power_power_nat(A,C),power_power_nat(B,C)). % 7.46/7.48 ** KEPT (pick-wt=10): 519 [] -dvd_dvd_nat(A,B)|dvd_dvd_nat(times_times_nat(C,A),times_times_nat(C,B)). % 7.46/7.48 ** KEPT (pick-wt=10): 520 [] -dvd_dvd_nat(A,B)|dvd_dvd_nat(times_times_nat(A,C),times_times_nat(B,C)). % 7.46/7.48 ** KEPT (pick-wt=11): 521 [] -dvd_dvd_nat(A,B)| -dvd_dvd_nat(A,plus_plus_nat(B,C))|dvd_dvd_nat(A,C). % 7.46/7.48 ** KEPT (pick-wt=13): 522 [] -dvd_dvd_nat(times_times_nat(A,B),times_times_nat(C,B))|B=zero_zero_nat|dvd_dvd_nat(A,C). % 7.46/7.48 ** KEPT (pick-wt=10): 523 [] dvd_dvd_nat(times_times_nat(A,B),times_times_nat(C,B))|B!=zero_zero_nat. % 7.46/7.48 Following clause subsumed by 520 during input processing: 0 [] dvd_dvd_nat(times_times_nat(A,B),times_times_nat(C,B))| -dvd_dvd_nat(A,C). % 7.46/7.48 ** KEPT (pick-wt=13): 524 [] -dvd_dvd_nat(power_power_nat(A,B),power_power_nat(C,B))|B=zero_zero_nat|dvd_dvd_nat(A,C). % 7.46/7.48 ** KEPT (pick-wt=11): 525 [] A=zero_zero_nat| -dvd_dvd_nat(power_power_nat(B,A),C)|dvd_dvd_nat(B,C). % 7.46/7.48 ** KEPT (pick-wt=16): 526 [] A!=plus_plus_nat(times_times_nat(B,C),D)| -ord_less_nat(zero_zero_nat,D)| -ord_less_nat(D,C)| -dvd_dvd_nat(C,A). % 7.46/7.48 ** KEPT (pick-wt=13): 527 [] -dvd_dvd_nat(power_power_nat(A,B),power_power_nat(A,C))| -ord_less_nat(one_one_nat,A)|ord_less_e_q_nat(B,C). % 7.46/7.48 ** KEPT (pick-wt=17): 528 [] -dvd_dvd_nat(A,B)|B=zero_zero_nat|B=A|ord_less_e_q_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls))),A),B). % 7.46/7.48 ** KEPT (pick-wt=10): 529 [] -ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int). % 7.46/7.48 Following clause subsumed by 176 during input processing: 0 [copy,175,flip.1] bit0(A)!=bit1(B). % 7.46/7.48 Following clause subsumed by 175 during input processing: 0 [copy,176,flip.1] bit1(A)!=bit0(B). % 7.46/7.48 290 back subsumes 29. % 7.46/7.48 296 back subsumes 31. % 7.46/7.48 355 back subsumes 169. % 7.46/7.48 357 back subsumes 351. % 7.46/7.48 409 back subsumes 377. % 7.46/7.48 420 back subsumes 304. % 7.46/7.48 435 back subsumes 294. % 7.46/7.48 436 back subsumes 293. % 7.46/7.48 437 back subsumes 295. % 7.46/7.48 451 back subsumes 303. % 7.46/7.48 452 back subsumes 305. % 7.46/7.48 458 back subsumes 290. % 7.46/7.48 459 back subsumes 296. % 7.46/7.48 479 back subsumes 291. % 7.46/7.48 480 back subsumes 292. % 7.46/7.48 481 back subsumes 297. % 7.46/7.48 482 back subsumes 298. % 7.46/7.48 493 back subsumes 150. % 7.46/7.48 494 back subsumes 151. % 7.46/7.48 495 back subsumes 152. % 7.46/7.48 627 back subsumes 576. % 7.46/7.48 629 back subsumes 541. % 7.46/7.48 % 7.46/7.48 ------------> process sos: % 7.46/7.48 ** KEPT (pick-wt=3): 699 [] A=A. % 7.46/7.48 ** KEPT (pick-wt=2): 700 [] is_int(one_one_int). % 7.46/7.48 ** KEPT (pick-wt=2): 701 [] is_int(zero_zero_int). % 7.46/7.48 ** KEPT (pick-wt=3): 702 [] is_int(undefined_int(int)). % 7.46/7.48 ** KEPT (pick-wt=2): 703 [] is_int(min). % 7.46/7.48 ** KEPT (pick-wt=2): 704 [] is_int(pls). % 7.46/7.48 ** KEPT (pick-wt=2): 705 [] is_int(m). % 7.46/7.48 ** KEPT (pick-wt=2): 706 [] is_int(s1). % 7.46/7.48 ** KEPT (pick-wt=2): 707 [] is_int(s). % 7.46/7.48 ** KEPT (pick-wt=2): 708 [] is_int(t). % 7.46/7.48 ** KEPT (pick-wt=3): 709 [] ord_less_int(t,zero_zero_int). % 7.46/7.48 ** KEPT (pick-wt=3): 710 [] ord_less_int(t,one_one_int). % 7.46/7.48 ** KEPT (pick-wt=23): 711 [] ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)). % 7.46/7.48 ** KEPT (pick-wt=20): 712 [] plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t). % 7.46/7.48 ---> New Demodulator: 713 [new_demod,712] plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int)=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t). % 7.46/7.48 ** KEPT (pick-wt=11): 714 [] ord_less_int(zero_zero_int,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.46/7.48 ** KEPT (pick-wt=18): 715 [] ord_less_real(zero_zero_real,plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls))))))|A=zero_zero_real. % 7.46/7.48 ** KEPT (pick-wt=18): 716 [] ord_less_real(zero_zero_real,plus_plus_real(power_power_real(A,number_number_of_nat(bit0(bit1(pls)))),power_power_real(B,number_number_of_nat(bit0(bit1(pls))))))|B=zero_zero_real. % 7.46/7.48 ** KEPT (pick-wt=11): 717 [] ord_less_real(zero_zero_real,power_power_real(A,number_number_of_nat(bit0(bit1(pls)))))|A=zero_zero_real. % 7.46/7.48 ** KEPT (pick-wt=8): 718 [] power_power_real(one_one_real,number_number_of_nat(bit0(bit1(pls))))=one_one_real. % 7.46/7.48 ---> New Demodulator: 719 [new_demod,718] power_power_real(one_one_real,number_number_of_nat(bit0(bit1(pls))))=one_one_real. % 7.46/7.48 ** KEPT (pick-wt=8): 720 [] power_power_nat(one_one_nat,number_number_of_nat(bit0(bit1(pls))))=one_one_nat. % 7.46/7.48 ---> New Demodulator: 721 [new_demod,720] power_power_nat(one_one_nat,number_number_of_nat(bit0(bit1(pls))))=one_one_nat. % 7.46/7.48 ** KEPT (pick-wt=8): 722 [] power_power_int(one_one_int,number_number_of_nat(bit0(bit1(pls))))=one_one_int. % 7.46/7.48 ---> New Demodulator: 723 [new_demod,722] power_power_int(one_one_int,number_number_of_nat(bit0(bit1(pls))))=one_one_int. % 7.46/7.48 ** KEPT (pick-wt=8): 724 [] power_power_real(zero_zero_real,number_number_of_nat(bit0(bit1(pls))))=zero_zero_real. % 7.46/7.48 ---> New Demodulator: 725 [new_demod,724] power_power_real(zero_zero_real,number_number_of_nat(bit0(bit1(pls))))=zero_zero_real. % 7.46/7.48 ** KEPT (pick-wt=8): 726 [] power_power_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls))))=zero_zero_nat. % 7.46/7.48 ---> New Demodulator: 727 [new_demod,726] power_power_nat(zero_zero_nat,number_number_of_nat(bit0(bit1(pls))))=zero_zero_nat. % 7.46/7.48 ** KEPT (pick-wt=8): 728 [] power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls))))=zero_zero_int. % 7.46/7.48 ---> New Demodulator: 729 [new_demod,728] power_power_int(zero_zero_int,number_number_of_nat(bit0(bit1(pls))))=zero_zero_int. % 7.46/7.48 ** KEPT (pick-wt=10): 731 [copy,730,flip.1] number267125858f_real(plus_plus_int(bit1(pls),A))=plus_plus_real(one_one_real,number267125858f_real(A)). % 7.46/7.48 ---> New Demodulator: 732 [new_demod,731] number267125858f_real(plus_plus_int(bit1(pls),A))=plus_plus_real(one_one_real,number267125858f_real(A)). % 7.46/7.48 ** KEPT (pick-wt=10): 734 [copy,733,flip.1] number_number_of_int(plus_plus_int(bit1(pls),A))=plus_plus_int(one_one_int,number_number_of_int(A)). % 7.46/7.48 ---> New Demodulator: 735 [new_demod,734] number_number_of_int(plus_plus_int(bit1(pls),A))=plus_plus_int(one_one_int,number_number_of_int(A)). % 7.46/7.48 ** KEPT (pick-wt=10): 737 [copy,736,flip.1] number267125858f_real(plus_plus_int(A,bit1(pls)))=plus_plus_real(number267125858f_real(A),one_one_real). % 7.46/7.48 ---> New Demodulator: 738 [new_demod,737] number267125858f_real(plus_plus_int(A,bit1(pls)))=plus_plus_real(number267125858f_real(A),one_one_real). % 7.46/7.48 ** KEPT (pick-wt=10): 740 [copy,739,flip.1] number_number_of_int(plus_plus_int(A,bit1(pls)))=plus_plus_int(number_number_of_int(A),one_one_int). % 7.46/7.48 ---> New Demodulator: 741 [new_demod,740] number_number_of_int(plus_plus_int(A,bit1(pls)))=plus_plus_int(number_number_of_int(A),one_one_int). % 7.46/7.48 ** KEPT (pick-wt=11): 742 [] ord_less_int(t,plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.46/7.48 ** KEPT (pick-wt=2): 743 [] is_int($c1). % 7.46/7.48 ** KEPT (pick-wt=23): 745 [copy,744,demod,713] times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t)=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),$c1). % 7.46/7.48 ---> New Demodulator: 746 [new_demod,745] times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t)=times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),$c1). % 7.46/7.48 ** KEPT (pick-wt=10): 747 [] zprime(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int)). % 7.46/7.48 ** KEPT (pick-wt=12): 749 [copy,748,demod,746] twoSqu142715416sum2sq(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),$c1)). % 7.46/7.48 ** KEPT (pick-wt=3): 750 [] ord_less_e_q_int(A,A). % 7.46/7.48 ** KEPT (pick-wt=7): 751 [] times_times_int(A,B)=times_times_int(B,A). % 7.46/7.48 ** KEPT (pick-wt=6): 752 [] ord_less_e_q_int(A,B)|ord_less_e_q_int(B,A). % 7.46/7.48 ** KEPT (pick-wt=10): 754 [copy,753,flip.1] number_number_of_int(times_times_int(A,B))=times_times_int(number_number_of_int(A),number_number_of_int(B)). % 7.46/7.48 ---> New Demodulator: 755 [new_demod,754] number_number_of_int(times_times_int(A,B))=times_times_int(number_number_of_int(A),number_number_of_int(B)). % 7.46/7.48 ** KEPT (pick-wt=11): 756 [] times_times_int(times_times_int(A,B),C)=times_times_int(A,times_times_int(B,C)). % 7.46/7.48 ---> New Demodulator: 757 [new_demod,756] times_times_int(times_times_int(A,B),C)=times_times_int(A,times_times_int(B,C)). % 7.46/7.48 ** KEPT (pick-wt=13): 759 [copy,758,flip.1] times_times_int(power_power_int(A,B),power_power_int(A,C))=power_power_int(A,plus_plus_nat(B,C)). % 7.46/7.48 ---> New Demodulator: 760 [new_demod,759] times_times_int(power_power_int(A,B),power_power_int(A,C))=power_power_int(A,plus_plus_nat(B,C)). % 7.46/7.48 Following clause subsumed by 750 during input processing: 0 [] ord_less_e_q_int(pls,pls). % 7.46/7.48 ** KEPT (pick-wt=14): 762 [copy,761,flip.1] times_times_real(number267125858f_real(times_times_int(A,B)),C)=times_times_real(number267125858f_real(A),times_times_real(number267125858f_real(B),C)). % 7.46/7.48 ---> New Demodulator: 763 [new_demod,762] times_times_real(number267125858f_real(times_times_int(A,B)),C)=times_times_real(number267125858f_real(A),times_times_real(number267125858f_real(B),C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,755,757] times_times_int(number_number_of_int(A),times_times_int(number_number_of_int(B),C))=times_times_int(number_number_of_int(A),times_times_int(number_number_of_int(B),C)). % 7.46/7.48 ** KEPT (pick-wt=10): 765 [copy,764,flip.1] number267125858f_real(times_times_int(A,B))=times_times_real(number267125858f_real(A),number267125858f_real(B)). % 7.46/7.48 ---> New Demodulator: 766 [new_demod,765] number267125858f_real(times_times_int(A,B))=times_times_real(number267125858f_real(A),number267125858f_real(B)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,755] times_times_int(number_number_of_int(A),number_number_of_int(B))=times_times_int(number_number_of_int(A),number_number_of_int(B)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,766] times_times_real(number267125858f_real(A),number267125858f_real(B))=times_times_real(number267125858f_real(A),number267125858f_real(B)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,755] times_times_int(number_number_of_int(A),number_number_of_int(B))=times_times_int(number_number_of_int(A),number_number_of_int(B)). % 7.46/7.48 ** KEPT (pick-wt=9): 767 [] ord_less_e_q_real(zero_zero_real,plus_plus_real(times_times_real(A,A),times_times_real(B,B))). % 7.46/7.48 ** KEPT (pick-wt=9): 768 [] ord_less_e_q_int(zero_zero_int,plus_plus_int(times_times_int(A,A),times_times_int(B,B))). % 7.46/7.48 ** KEPT (pick-wt=10): 769 [] ord_less_e_q_real(number267125858f_real(A),number267125858f_real(B))|ord_less_real(number267125858f_real(B),number267125858f_real(A)). % 7.46/7.48 ** KEPT (pick-wt=10): 770 [] ord_less_e_q_nat(number_number_of_nat(A),number_number_of_nat(B))|ord_less_nat(number_number_of_nat(B),number_number_of_nat(A)). % 7.46/7.48 ** KEPT (pick-wt=10): 771 [] ord_less_e_q_int(number_number_of_int(A),number_number_of_int(B))|ord_less_int(number_number_of_int(B),number_number_of_int(A)). % 7.46/7.48 ** KEPT (pick-wt=4): 772 [] number_number_of_nat(pls)=zero_zero_nat. % 7.46/7.48 ---> New Demodulator: 773 [new_demod,772] number_number_of_nat(pls)=zero_zero_nat. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,773] zero_zero_nat=zero_zero_nat. % 7.46/7.48 ** KEPT (pick-wt=8): 775 [copy,774,flip.1] number_number_of_nat(bit0(bit1(pls)))=plus_plus_nat(one_one_nat,one_one_nat). % 7.46/7.48 ---> New Demodulator: 776 [new_demod,775] number_number_of_nat(bit0(bit1(pls)))=plus_plus_nat(one_one_nat,one_one_nat). % 7.46/7.48 ** KEPT (pick-wt=5): 777 [] times_times_int(pls,A)=pls. % 7.46/7.48 ---> New Demodulator: 778 [new_demod,777] times_times_int(pls,A)=pls. % 7.46/7.48 ** KEPT (pick-wt=9): 780 [copy,779,flip.1] bit0(times_times_int(A,B))=times_times_int(bit0(A),B). % 7.46/7.48 ---> New Demodulator: 781 [new_demod,780] bit0(times_times_int(A,B))=times_times_int(bit0(A),B). % 7.46/7.48 ** KEPT (pick-wt=10): 783 [copy,782,flip.1] number_number_of_int(plus_plus_int(A,B))=plus_plus_int(number_number_of_int(A),number_number_of_int(B)). % 7.46/7.48 ---> New Demodulator: 784 [new_demod,783] number_number_of_int(plus_plus_int(A,B))=plus_plus_int(number_number_of_int(A),number_number_of_int(B)). % 7.46/7.48 ** KEPT (pick-wt=13): 785 [] times_times_int(plus_plus_int(A,B),C)=plus_plus_int(times_times_int(A,C),times_times_int(B,C)). % 7.46/7.48 ---> New Demodulator: 786 [new_demod,785] times_times_int(plus_plus_int(A,B),C)=plus_plus_int(times_times_int(A,C),times_times_int(B,C)). % 7.46/7.48 ** KEPT (pick-wt=13): 787 [] times_times_int(A,plus_plus_int(B,C))=plus_plus_int(times_times_int(A,B),times_times_int(A,C)). % 7.46/7.48 ---> New Demodulator: 788 [new_demod,787] times_times_int(A,plus_plus_int(B,C))=plus_plus_int(times_times_int(A,B),times_times_int(A,C)). % 7.46/7.48 ** KEPT (pick-wt=5): 789 [] number_number_of_nat(bit1(pls))=one_one_nat. % 7.46/7.48 ---> New Demodulator: 790 [new_demod,789] number_number_of_nat(bit1(pls))=one_one_nat. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,790] one_one_nat=one_one_nat. % 7.46/7.48 ** KEPT (pick-wt=16): 792 [copy,791,flip.3] ord_less_int(A,pls)|ord_less_int(B,pls)|number_number_of_nat(plus_plus_int(A,B))=plus_plus_nat(number_number_of_nat(A),number_number_of_nat(B)). % 7.46/7.48 ** KEPT (pick-wt=16): 793 [] times_times_real(plus_plus_real(A,B),number267125858f_real(C))=plus_plus_real(times_times_real(A,number267125858f_real(C)),times_times_real(B,number267125858f_real(C))). % 7.46/7.48 ---> New Demodulator: 794 [new_demod,793] times_times_real(plus_plus_real(A,B),number267125858f_real(C))=plus_plus_real(times_times_real(A,number267125858f_real(C)),times_times_real(B,number267125858f_real(C))). % 7.46/7.48 ** KEPT (pick-wt=16): 795 [] times_times_nat(plus_plus_nat(A,B),number_number_of_nat(C))=plus_plus_nat(times_times_nat(A,number_number_of_nat(C)),times_times_nat(B,number_number_of_nat(C))). % 7.46/7.48 ---> New Demodulator: 796 [new_demod,795] times_times_nat(plus_plus_nat(A,B),number_number_of_nat(C))=plus_plus_nat(times_times_nat(A,number_number_of_nat(C)),times_times_nat(B,number_number_of_nat(C))). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,786] plus_plus_int(times_times_int(A,number_number_of_int(C)),times_times_int(B,number_number_of_int(C)))=plus_plus_int(times_times_int(A,number_number_of_int(C)),times_times_int(B,number_number_of_int(C))). % 7.46/7.48 ** KEPT (pick-wt=16): 797 [] times_times_real(number267125858f_real(A),plus_plus_real(B,C))=plus_plus_real(times_times_real(number267125858f_real(A),B),times_times_real(number267125858f_real(A),C)). % 7.46/7.48 ---> New Demodulator: 798 [new_demod,797] times_times_real(number267125858f_real(A),plus_plus_real(B,C))=plus_plus_real(times_times_real(number267125858f_real(A),B),times_times_real(number267125858f_real(A),C)). % 7.46/7.48 ** KEPT (pick-wt=16): 799 [] times_times_nat(number_number_of_nat(A),plus_plus_nat(B,C))=plus_plus_nat(times_times_nat(number_number_of_nat(A),B),times_times_nat(number_number_of_nat(A),C)). % 7.46/7.48 ---> New Demodulator: 800 [new_demod,799] times_times_nat(number_number_of_nat(A),plus_plus_nat(B,C))=plus_plus_nat(times_times_nat(number_number_of_nat(A),B),times_times_nat(number_number_of_nat(A),C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,788] plus_plus_int(times_times_int(number_number_of_int(A),B),times_times_int(number_number_of_int(A),C))=plus_plus_int(times_times_int(number_number_of_int(A),B),times_times_int(number_number_of_int(A),C)). % 7.46/7.48 ** KEPT (pick-wt=11): 801 [] plus_plus_int(plus_plus_int(A,B),C)=plus_plus_int(A,plus_plus_int(B,C)). % 7.46/7.48 ---> New Demodulator: 802 [new_demod,801] plus_plus_int(plus_plus_int(A,B),C)=plus_plus_int(A,plus_plus_int(B,C)). % 7.46/7.48 ** KEPT (pick-wt=11): 803 [] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(B,plus_plus_int(A,C)). % 7.46/7.48 ** KEPT (pick-wt=7): 804 [] plus_plus_int(A,B)=plus_plus_int(B,A). % 7.46/7.48 ** KEPT (pick-wt=4): 806 [copy,805,flip.1] number_number_of_int(pls)=zero_zero_int. % 7.46/7.48 ---> New Demodulator: 807 [new_demod,806] number_number_of_int(pls)=zero_zero_int. % 7.46/7.48 ** KEPT (pick-wt=7): 809 [copy,808,demod,776] ord_less_e_q_real(zero_zero_real,power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat))). % 7.46/7.48 ** KEPT (pick-wt=7): 811 [copy,810,demod,776] ord_less_e_q_int(zero_zero_int,power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat))). % 7.46/7.48 ** KEPT (pick-wt=13): 813 [copy,812,demod,776,776] ord_less_e_q_real(zero_zero_real,plus_plus_real(power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat)),power_power_real(B,plus_plus_nat(one_one_nat,one_one_nat)))). % 7.46/7.48 ** KEPT (pick-wt=13): 815 [copy,814,demod,776,776] ord_less_e_q_int(zero_zero_int,plus_plus_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat)))). % 7.46/7.48 ** KEPT (pick-wt=12): 816 [] ord_less_real(zero_zero_real,plus_plus_real(times_times_real(A,A),times_times_real(B,B)))|A=zero_zero_real. % 7.46/7.48 ** KEPT (pick-wt=12): 817 [] ord_less_real(zero_zero_real,plus_plus_real(times_times_real(A,A),times_times_real(B,B)))|B=zero_zero_real. % 7.46/7.48 ** KEPT (pick-wt=7): 818 [] times_times_real(number267125858f_real(bit1(pls)),A)=A. % 7.46/7.48 ---> New Demodulator: 819 [new_demod,818] times_times_real(number267125858f_real(bit1(pls)),A)=A. % 7.46/7.48 ** KEPT (pick-wt=7): 820 [] times_times_real(A,number267125858f_real(bit1(pls)))=A. % 7.46/7.48 ---> New Demodulator: 821 [new_demod,820] times_times_real(A,number267125858f_real(bit1(pls)))=A. % 7.46/7.48 ** KEPT (pick-wt=5): 823 [copy,822,flip.1] number_number_of_int(bit1(pls))=one_one_int. % 7.46/7.48 ---> New Demodulator: 824 [new_demod,823] number_number_of_int(bit1(pls))=one_one_int. % 7.46/7.48 ** KEPT (pick-wt=11): 826 [copy,825,demod,781] times_times_int(bit1(A),B)=plus_plus_int(times_times_int(bit0(A),B),B). % 7.46/7.48 ---> New Demodulator: 827 [new_demod,826] times_times_int(bit1(A),B)=plus_plus_int(times_times_int(bit0(A),B),B). % 7.46/7.48 ** KEPT (pick-wt=4): 828 [] bit0(pls)=pls. % 7.46/7.48 ---> New Demodulator: 829 [new_demod,828] bit0(pls)=pls. % 7.46/7.48 ** KEPT (pick-wt=3): 831 [copy,830,flip.1] zero_zero_int=pls. % 7.46/7.48 ---> New Demodulator: 832 [new_demod,831] zero_zero_int=pls. % 7.46/7.48 ** KEPT (pick-wt=10): 834 [copy,833,flip.1] bit0(plus_plus_int(A,B))=plus_plus_int(bit0(A),bit0(B)). % 7.46/7.48 ---> New Demodulator: 835 [new_demod,834] bit0(plus_plus_int(A,B))=plus_plus_int(bit0(A),bit0(B)). % 7.46/7.48 ** KEPT (pick-wt=6): 836 [] bit0(A)=plus_plus_int(A,A). % 7.46/7.48 ---> New Demodulator: 837 [new_demod,836] bit0(A)=plus_plus_int(A,A). % 7.46/7.48 ** KEPT (pick-wt=14): 839 [copy,838,demod,794,837,flip.1] number267125858f_real(plus_plus_int(A,A))=plus_plus_real(times_times_real(one_one_real,number267125858f_real(A)),times_times_real(one_one_real,number267125858f_real(A))). % 7.46/7.48 ---> New Demodulator: 840 [new_demod,839] number267125858f_real(plus_plus_int(A,A))=plus_plus_real(times_times_real(one_one_real,number267125858f_real(A)),times_times_real(one_one_real,number267125858f_real(A))). % 7.46/7.48 ** KEPT (pick-wt=15): 842 [copy,841,demod,786,837,784] plus_plus_int(times_times_int(one_one_int,number_number_of_int(A)),times_times_int(one_one_int,number_number_of_int(A)))=plus_plus_int(number_number_of_int(A),number_number_of_int(A)). % 7.46/7.48 ---> New Demodulator: 843 [new_demod,842] plus_plus_int(times_times_int(one_one_int,number_number_of_int(A)),times_times_int(one_one_int,number_number_of_int(A)))=plus_plus_int(number_number_of_int(A),number_number_of_int(A)). % 7.46/7.48 ** KEPT (pick-wt=12): 844 [] power_power_real(A,number_number_of_nat(bit1(bit1(pls))))=times_times_real(times_times_real(A,A),A). % 7.46/7.48 ** KEPT (pick-wt=12): 845 [] power_power_nat(A,number_number_of_nat(bit1(bit1(pls))))=times_times_nat(times_times_nat(A,A),A). % 7.46/7.48 ** KEPT (pick-wt=12): 847 [copy,846,demod,757] power_power_int(A,number_number_of_nat(bit1(bit1(pls))))=times_times_int(A,times_times_int(A,A)). % 7.46/7.48 ** KEPT (pick-wt=9): 849 [copy,848,demod,837,840,821,821] times_times_real(plus_plus_real(one_one_real,one_one_real),A)=plus_plus_real(A,A). % 7.46/7.48 ---> New Demodulator: 850 [new_demod,849] times_times_real(plus_plus_real(one_one_real,one_one_real),A)=plus_plus_real(A,A). % 7.46/7.48 ** KEPT (pick-wt=12): 852 [copy,851,demod,837] times_times_nat(number_number_of_nat(plus_plus_int(bit1(pls),bit1(pls))),A)=plus_plus_nat(A,A). % 7.46/7.48 ---> New Demodulator: 853 [new_demod,852] times_times_nat(number_number_of_nat(plus_plus_int(bit1(pls),bit1(pls))),A)=plus_plus_nat(A,A). % 7.46/7.48 ** KEPT (pick-wt=11): 855 [copy,854,demod,837,784,824,824,786] plus_plus_int(times_times_int(one_one_int,A),times_times_int(one_one_int,A))=plus_plus_int(A,A). % 7.46/7.48 ---> New Demodulator: 856 [new_demod,855] plus_plus_int(times_times_int(one_one_int,A),times_times_int(one_one_int,A))=plus_plus_int(A,A). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,837,840,821,821,850] plus_plus_real(A,A)=plus_plus_real(A,A). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,837,784,824,824,786,856] plus_plus_int(A,A)=plus_plus_int(A,A). % 7.46/7.48 ** KEPT (pick-wt=9): 858 [copy,857,demod,837,840,821,821] times_times_real(A,plus_plus_real(one_one_real,one_one_real))=plus_plus_real(A,A). % 7.46/7.48 ---> New Demodulator: 859 [new_demod,858] times_times_real(A,plus_plus_real(one_one_real,one_one_real))=plus_plus_real(A,A). % 7.46/7.48 ** KEPT (pick-wt=12): 861 [copy,860,demod,837] times_times_nat(A,number_number_of_nat(plus_plus_int(bit1(pls),bit1(pls))))=plus_plus_nat(A,A). % 7.46/7.48 ---> New Demodulator: 862 [new_demod,861] times_times_nat(A,number_number_of_nat(plus_plus_int(bit1(pls),bit1(pls))))=plus_plus_nat(A,A). % 7.46/7.48 ** KEPT (pick-wt=11): 864 [copy,863,demod,837,784,824,824,788] plus_plus_int(times_times_int(A,one_one_int),times_times_int(A,one_one_int))=plus_plus_int(A,A). % 7.46/7.48 ---> New Demodulator: 865 [new_demod,864] plus_plus_int(times_times_int(A,one_one_int),times_times_int(A,one_one_int))=plus_plus_int(A,A). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,837,840,821,821,859] plus_plus_real(A,A)=plus_plus_real(A,A). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,837,784,824,824,788,865] plus_plus_int(A,A)=plus_plus_int(A,A). % 7.46/7.48 ** KEPT (pick-wt=12): 867 [copy,866,demod,837] power_power_real(A,number_number_of_nat(plus_plus_int(bit1(pls),bit1(pls))))=times_times_real(A,A). % 7.46/7.48 ** KEPT (pick-wt=12): 869 [copy,868,demod,837] power_power_nat(A,number_number_of_nat(plus_plus_int(bit1(pls),bit1(pls))))=times_times_nat(A,A). % 7.46/7.48 ** KEPT (pick-wt=12): 871 [copy,870,demod,837] power_power_int(A,number_number_of_nat(plus_plus_int(bit1(pls),bit1(pls))))=times_times_int(A,A). % 7.46/7.48 ** KEPT (pick-wt=4): 872 [] number267125858f_real(pls)=zero_zero_real. % 7.46/7.48 ---> New Demodulator: 873 [new_demod,872] number267125858f_real(pls)=zero_zero_real. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,773] zero_zero_nat=zero_zero_nat. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,807,832,832] pls=pls. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,873] zero_zero_real=zero_zero_real. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,807,832,832] pls=pls. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,873] zero_zero_real=zero_zero_real. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,832,807,832] pls=pls. % 7.46/7.48 ** KEPT (pick-wt=5): 875 [copy,874,demod,873] plus_plus_real(zero_zero_real,A)=A. % 7.46/7.48 ---> New Demodulator: 876 [new_demod,875] plus_plus_real(zero_zero_real,A)=A. % 7.46/7.48 ** KEPT (pick-wt=5): 878 [copy,877,demod,873] plus_plus_real(A,zero_zero_real)=A. % 7.46/7.48 ---> New Demodulator: 879 [new_demod,878] plus_plus_real(A,zero_zero_real)=A. % 7.46/7.48 ** KEPT (pick-wt=14): 881 [copy,880,flip.1] plus_plus_real(number267125858f_real(plus_plus_int(A,B)),C)=plus_plus_real(number267125858f_real(A),plus_plus_real(number267125858f_real(B),C)). % 7.46/7.48 ---> New Demodulator: 882 [new_demod,881] plus_plus_real(number267125858f_real(plus_plus_int(A,B)),C)=plus_plus_real(number267125858f_real(A),plus_plus_real(number267125858f_real(B),C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,784,802] plus_plus_int(number_number_of_int(A),plus_plus_int(number_number_of_int(B),C))=plus_plus_int(number_number_of_int(A),plus_plus_int(number_number_of_int(B),C)). % 7.46/7.48 ** KEPT (pick-wt=10): 884 [copy,883,flip.1] number267125858f_real(plus_plus_int(A,B))=plus_plus_real(number267125858f_real(A),number267125858f_real(B)). % 7.46/7.48 ---> New Demodulator: 885 [new_demod,884] number267125858f_real(plus_plus_int(A,B))=plus_plus_real(number267125858f_real(A),number267125858f_real(B)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,784] plus_plus_int(number_number_of_int(A),number_number_of_int(B))=plus_plus_int(number_number_of_int(A),number_number_of_int(B)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,885] plus_plus_real(number267125858f_real(A),number267125858f_real(B))=plus_plus_real(number267125858f_real(A),number267125858f_real(B)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,784] plus_plus_int(number_number_of_int(A),number_number_of_int(B))=plus_plus_int(number_number_of_int(A),number_number_of_int(B)). % 7.46/7.48 ** KEPT (pick-wt=11): 887 [copy,886,demod,837,flip.1] bit1(plus_plus_int(A,B))=plus_plus_int(bit1(A),plus_plus_int(B,B)). % 7.46/7.48 ---> New Demodulator: 888 [new_demod,887] bit1(plus_plus_int(A,B))=plus_plus_int(bit1(A),plus_plus_int(B,B)). % 7.46/7.48 ** KEPT (pick-wt=13): 890 [copy,889,demod,837,802,888] plus_plus_int(A,plus_plus_int(A,bit1(B)))=plus_plus_int(bit1(A),plus_plus_int(B,B)). % 7.46/7.48 ** KEPT (pick-wt=3): 892 [copy,891,demod,832] ord_less_int(pls,one_one_int). % 7.46/7.48 ** KEPT (pick-wt=8): 894 [copy,893,demod,802] bit1(A)=plus_plus_int(one_one_int,plus_plus_int(A,A)). % 7.46/7.48 ---> New Demodulator: 895 [new_demod,894] bit1(A)=plus_plus_int(one_one_int,plus_plus_int(A,A)). % 7.46/7.48 ** KEPT (pick-wt=21): 897 [copy,896,demod,895,837,802,802] power_power_real(number267125858f_real(A),number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))=times_times_real(number267125858f_real(A),number267125858f_real(A)). % 7.46/7.48 ** KEPT (pick-wt=21): 899 [copy,898,demod,895,837,802,802] power_power_nat(number_number_of_nat(A),number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))=times_times_nat(number_number_of_nat(A),number_number_of_nat(A)). % 7.46/7.48 ** KEPT (pick-wt=21): 901 [copy,900,demod,895,837,802,802] power_power_int(number_number_of_int(A),number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))=times_times_int(number_number_of_int(A),number_number_of_int(A)). % 7.46/7.48 ** KEPT (pick-wt=64): 903 [copy,902,demod,895,837,802,802,895,837,802,802,895,837,802,802,895,837,802,802,885,885,873,885,873,885,840,873,873,876,876] power_power_real(plus_plus_real(A,B),number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))=plus_plus_real(plus_plus_real(power_power_real(A,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))),power_power_real(B,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))),times_times_real(times_times_real(plus_plus_real(number267125858f_real(one_one_int),plus_plus_real(number267125858f_real(one_one_int),plus_plus_real(times_times_real(one_one_real,zero_zero_real),times_times_real(one_one_real,zero_zero_real)))),A),B)). % 7.46/7.48 ** KEPT (pick-wt=63): 905 [copy,904,demod,895,837,802,802,895,837,802,802,895,837,802,802,895,837,802,802,flip.1] plus_plus_nat(plus_plus_nat(power_power_nat(A,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))),power_power_nat(B,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))),times_times_nat(times_times_nat(number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))),A),B))=power_power_nat(plus_plus_nat(A,B),number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))). % 7.46/7.48 ---> New Demodulator: 906 [new_demod,905] plus_plus_nat(plus_plus_nat(power_power_nat(A,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))),power_power_nat(B,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))),times_times_nat(times_times_nat(number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))),A),B))=power_power_nat(plus_plus_nat(A,B),number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))). % 7.46/7.48 ** KEPT (pick-wt=68): 908 [copy,907,demod,895,837,802,802,895,837,802,802,895,837,802,802,895,837,802,802,784,784,807,832,784,807,832,784,784,807,832,807,832,786,786,778,786,778,786,786,778,778,786,757,786,778,786,778,786,757,786,778,778,802] power_power_int(plus_plus_int(A,B),number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))=plus_plus_int(power_power_int(A,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))),plus_plus_int(power_power_int(B,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))),plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(A,B)),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(A,B)),plus_plus_int(pls,pls))))))). % 7.46/7.48 ** KEPT (pick-wt=15): 910 [copy,909,demod,837,840,876] plus_plus_real(times_times_real(one_one_real,number267125858f_real(A)),times_times_real(one_one_real,number267125858f_real(A)))=plus_plus_real(number267125858f_real(A),number267125858f_real(A)). % 7.46/7.48 ---> New Demodulator: 911 [new_demod,910] plus_plus_real(times_times_real(one_one_real,number267125858f_real(A)),times_times_real(one_one_real,number267125858f_real(A)))=plus_plus_real(number267125858f_real(A),number267125858f_real(A)). % 7.46/7.48 ** KEPT (pick-wt=13): 913 [copy,912,demod,837,784,832,802,flip.1] plus_plus_int(pls,plus_plus_int(number_number_of_int(A),number_number_of_int(A)))=plus_plus_int(number_number_of_int(A),number_number_of_int(A)). % 7.46/7.48 ---> New Demodulator: 914 [new_demod,913] plus_plus_int(pls,plus_plus_int(number_number_of_int(A),number_number_of_int(A)))=plus_plus_int(number_number_of_int(A),number_number_of_int(A)). % 7.46/7.48 ** KEPT (pick-wt=16): 916 [copy,915,demod,895,885,840,911] plus_plus_real(number267125858f_real(one_one_int),plus_plus_real(number267125858f_real(A),number267125858f_real(A)))=plus_plus_real(plus_plus_real(one_one_real,number267125858f_real(A)),number267125858f_real(A)). % 7.46/7.48 ** KEPT (pick-wt=16): 918 [copy,917,demod,895,784,784,802] plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(number_number_of_int(A),number_number_of_int(A)))=plus_plus_int(one_one_int,plus_plus_int(number_number_of_int(A),number_number_of_int(A))). % 7.46/7.48 ---> New Demodulator: 919 [new_demod,918] plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(number_number_of_int(A),number_number_of_int(A)))=plus_plus_int(one_one_int,plus_plus_int(number_number_of_int(A),number_number_of_int(A))). % 7.46/7.48 ** KEPT (pick-wt=12): 921 [copy,920,demod,895,885,840,873,873] plus_plus_real(number267125858f_real(one_one_int),plus_plus_real(times_times_real(one_one_real,zero_zero_real),times_times_real(one_one_real,zero_zero_real)))=one_one_real. % 7.46/7.48 ---> New Demodulator: 922 [new_demod,921] plus_plus_real(number267125858f_real(one_one_int),plus_plus_real(times_times_real(one_one_real,zero_zero_real),times_times_real(one_one_real,zero_zero_real)))=one_one_real. % 7.46/7.48 ** KEPT (pick-wt=8): 924 [copy,923,demod,895] number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,pls)))=one_one_nat. % 7.46/7.48 ---> New Demodulator: 925 [new_demod,924] number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,pls)))=one_one_nat. % 7.46/7.48 ** KEPT (pick-wt=8): 927 [copy,926,demod,895,784,784,807,832,807,832] plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,pls))=one_one_int. % 7.46/7.48 ---> New Demodulator: 928 [new_demod,927] plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,pls))=one_one_int. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,895,885,840,873,873,922] one_one_real=one_one_real. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,895,784,784,807,832,807,832,928] one_one_int=one_one_int. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,895,885,840,873,873,922] one_one_real=one_one_real. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,895,784,784,807,832,807,832,928] one_one_int=one_one_int. % 7.46/7.48 ** KEPT (pick-wt=8): 930 [copy,929,demod,895,837,802,802,885,885,873,885,873,885,840,873,873,922,876,876,flip.1] plus_plus_real(number267125858f_real(one_one_int),one_one_real)=plus_plus_real(one_one_real,one_one_real). % 7.46/7.48 ---> New Demodulator: 931 [new_demod,930] plus_plus_real(number267125858f_real(one_one_int),one_one_real)=plus_plus_real(one_one_real,one_one_real). % 7.46/7.48 ** KEPT (pick-wt=16): 933 [copy,932,demod,895,837,802,802,flip.1] number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))=plus_plus_nat(one_one_nat,one_one_nat). % 7.46/7.48 ---> New Demodulator: 934 [new_demod,933] number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))=plus_plus_nat(one_one_nat,one_one_nat). % 7.46/7.48 ** KEPT (pick-wt=12): 936 [copy,935,demod,895,837,802,802,784,784,807,832,784,807,832,784,784,807,832,807,832,928,flip.1] plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,plus_plus_int(pls,one_one_int)))=plus_plus_int(one_one_int,one_one_int). % 7.46/7.48 ---> New Demodulator: 937 [new_demod,936] plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,plus_plus_int(pls,one_one_int)))=plus_plus_int(one_one_int,one_one_int). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,895,837,802,802,885,885,873,885,873,885,840,873,873,922,876,876,931] plus_plus_real(one_one_real,one_one_real)=plus_plus_real(one_one_real,one_one_real). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,895,837,802,802,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937] plus_plus_int(one_one_int,one_one_int)=plus_plus_int(one_one_int,one_one_int). % 7.46/7.48 ** KEPT (pick-wt=31): 939 [copy,938,demod,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,856,802,802,802,802,802,802,802,895,837,802,802,934] dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(m,one_one_int)))))))),plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int)). % 7.46/7.48 ** KEPT (pick-wt=106): 941 [copy,940,demod,895,895,802,802,895,895,802,802,895,895,802,802,784,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,895,837,802,802,934,786,786,856,786,757,786,895,895,802,802,784,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,856,895,837,802,802,934,786,757,786,802,802,802,895,895,802,802,802,802,802,802,802,802] power_power_int(plus_plus_int(A,B),number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))))=plus_plus_int(power_power_int(A,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))),plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),B)),plus_plus_int(times_times_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),B),plus_plus_int(times_times_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),B),plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(A,power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat)))),plus_plus_int(times_times_int(A,power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat))),plus_plus_int(times_times_int(A,power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat))),power_power_int(B,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))))))))))). % 7.46/7.48 ** KEPT (pick-wt=27): 943 [copy,942,demod,895,837,802,802,934,895,837,802,802,934,895,837,802,802,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,856,786,895,837,802,802,934,802,802,flip.1] plus_plus_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),plus_plus_int(times_times_int(A,B),plus_plus_int(times_times_int(A,B),power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat)))))=power_power_int(plus_plus_int(A,B),plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.48 ---> New Demodulator: 944 [new_demod,943] plus_plus_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),plus_plus_int(times_times_int(A,B),plus_plus_int(times_times_int(A,B),power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat)))))=power_power_int(plus_plus_int(A,B),plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.48 ** KEPT (pick-wt=3): 946 [copy,945,demod,832] ord_less_e_q_int(pls,s). % 7.46/7.48 ** KEPT (pick-wt=25): 948 [copy,947,demod,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,856,802,802,802,802,802,802,802] ord_less_int(s,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(m,one_one_int))))))))). % 7.46/7.48 ** KEPT (pick-wt=26): 950 [copy,949,demod,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,856,802,802,802,802,802,802,802] zcong(s1,s,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(m,one_one_int))))))))). % 7.46/7.48 ** KEPT (pick-wt=24): 952 [copy,951,demod,895,837,802,802,934,895,895,802,802] times_times_int(A,power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)))=power_power_int(A,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))). % 7.46/7.48 ** KEPT (pick-wt=7): 954 [copy,953,demod,895,837,802,802,934] ord_less_e_q_int(A,power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat))). % 7.46/7.48 ** KEPT (pick-wt=5): 956 [copy,955,demod,832,895,837,802,802,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937] ord_less_e_q_int(pls,plus_plus_int(one_one_int,one_one_int)). % 7.46/7.48 ** KEPT (pick-wt=15): 958 [copy,957,demod,895,837,802,802,934,flip.1] times_times_real(power_power_real(A,B),power_power_real(A,B))=power_power_real(A,times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),B)). % 7.46/7.48 ---> New Demodulator: 959 [new_demod,958] times_times_real(power_power_real(A,B),power_power_real(A,B))=power_power_real(A,times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),B)). % 7.46/7.48 ** KEPT (pick-wt=15): 961 [copy,960,demod,895,837,802,802,934,flip.1] times_times_nat(power_power_nat(A,B),power_power_nat(A,B))=power_power_nat(A,times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),B)). % 7.46/7.48 ---> New Demodulator: 962 [new_demod,961] times_times_nat(power_power_nat(A,B),power_power_nat(A,B))=power_power_nat(A,times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),B)). % 7.46/7.48 ** KEPT (pick-wt=13): 964 [copy,963,demod,895,837,802,802,934,760] power_power_int(A,times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),B))=power_power_int(A,plus_plus_nat(B,B)). % 7.46/7.48 ---> New Demodulator: 965 [new_demod,964] power_power_int(A,times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),B))=power_power_int(A,plus_plus_nat(B,B)). % 7.46/7.48 ** KEPT (pick-wt=34): 967 [copy,966,demod,895,837,802,802,934,895,837,802,802,934,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,856,802,802,802,802,802,802,802] zcong(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(s1,plus_plus_nat(one_one_nat,one_one_nat)),plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(m,one_one_int))))))))). % 7.46/7.48 ** KEPT (pick-wt=2): 968 [] is_int($c2). % 7.46/7.48 ** KEPT (pick-wt=3): 970 [copy,969,demod,832] ord_less_e_q_int(pls,$c2). % 7.46/7.48 ** KEPT (pick-wt=25): 972 [copy,971,demod,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,856,802,802,802,802,802,802,802] ord_less_int($c2,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(m,one_one_int))))))))). % 7.46/7.48 ** KEPT (pick-wt=26): 974 [copy,973,demod,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,856,802,802,802,802,802,802,802] zcong(s1,$c2,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(m,one_one_int))))))))). % 7.46/7.48 ** KEPT (pick-wt=2): 975 [] is_int($c3). % 7.46/7.48 ** KEPT (pick-wt=3): 977 [copy,976,demod,832] ord_less_e_q_int(pls,$c3). % 7.46/7.48 ** KEPT (pick-wt=25): 979 [copy,978,demod,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,856,802,802,802,802,802,802,802] ord_less_int($c3,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(m,one_one_int))))))))). % 7.46/7.48 ** KEPT (pick-wt=26): 981 [copy,980,demod,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,856,802,802,802,802,802,802,802] zcong(s1,$c3,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(m,one_one_int))))))))). % 7.46/7.48 ** KEPT (pick-wt=31): 983 [copy,982,demod,895,837,802,802,934,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,856,802,802,802,802,802,802,802] zcong(power_power_int(s1,plus_plus_nat(one_one_nat,one_one_nat)),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(m,one_one_int))))))))). % 7.46/7.48 ** KEPT (pick-wt=11): 984 [] power_power_real(power_power_real(A,B),C)=power_power_real(A,times_times_nat(B,C)). % 7.46/7.48 ** KEPT (pick-wt=11): 985 [] power_power_nat(power_power_nat(A,B),C)=power_power_nat(A,times_times_nat(B,C)). % 7.46/7.48 ** KEPT (pick-wt=11): 986 [] power_power_int(power_power_int(A,B),C)=power_power_int(A,times_times_nat(B,C)). % 7.46/7.48 Following clause subsumed by 986 during input processing: 0 [] power_power_int(power_power_int(A,B),C)=power_power_int(A,times_times_nat(B,C)). % 7.46/7.48 ** KEPT (pick-wt=4): 988 [copy,987,demod,895,837,802,802,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937] zprime(plus_plus_int(one_one_int,one_one_int)). % 7.46/7.48 ** KEPT (pick-wt=15): 989 [] times_times_real(times_times_real(A,B),times_times_real(C,D))=times_times_real(times_times_real(A,C),times_times_real(B,D)). % 7.46/7.48 ** KEPT (pick-wt=15): 990 [] times_times_nat(times_times_nat(A,B),times_times_nat(C,D))=times_times_nat(times_times_nat(A,C),times_times_nat(B,D)). % 7.46/7.48 ** KEPT (pick-wt=15): 992 [copy,991,demod,757,757] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(A,times_times_int(C,times_times_int(B,D))). % 7.46/7.48 ** KEPT (pick-wt=15): 993 [] times_times_real(times_times_real(A,B),times_times_real(C,D))=times_times_real(C,times_times_real(times_times_real(A,B),D)). % 7.46/7.48 ** KEPT (pick-wt=15): 994 [] times_times_nat(times_times_nat(A,B),times_times_nat(C,D))=times_times_nat(C,times_times_nat(times_times_nat(A,B),D)). % 7.46/7.48 ** KEPT (pick-wt=15): 996 [copy,995,demod,757,757] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(C,times_times_int(A,times_times_int(B,D))). % 7.46/7.48 ** KEPT (pick-wt=15): 997 [] times_times_real(times_times_real(A,B),times_times_real(C,D))=times_times_real(A,times_times_real(B,times_times_real(C,D))). % 7.46/7.48 ---> New Demodulator: 998 [new_demod,997] times_times_real(times_times_real(A,B),times_times_real(C,D))=times_times_real(A,times_times_real(B,times_times_real(C,D))). % 7.46/7.48 ** KEPT (pick-wt=15): 999 [] times_times_nat(times_times_nat(A,B),times_times_nat(C,D))=times_times_nat(A,times_times_nat(B,times_times_nat(C,D))). % 7.46/7.48 ---> New Demodulator: 1000 [new_demod,999] times_times_nat(times_times_nat(A,B),times_times_nat(C,D))=times_times_nat(A,times_times_nat(B,times_times_nat(C,D))). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,757] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(A,times_times_int(B,times_times_int(C,D))). % 7.46/7.48 ** KEPT (pick-wt=11): 1001 [] times_times_real(times_times_real(A,B),C)=times_times_real(times_times_real(A,C),B). % 7.46/7.48 ** KEPT (pick-wt=11): 1002 [] times_times_nat(times_times_nat(A,B),C)=times_times_nat(times_times_nat(A,C),B). % 7.46/7.48 ** KEPT (pick-wt=11): 1004 [copy,1003,demod,757,757] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(C,B)). % 7.46/7.48 ** KEPT (pick-wt=11): 1005 [] times_times_real(times_times_real(A,B),C)=times_times_real(A,times_times_real(B,C)). % 7.46/7.48 ---> New Demodulator: 1006 [new_demod,1005] times_times_real(times_times_real(A,B),C)=times_times_real(A,times_times_real(B,C)). % 7.46/7.48 ** KEPT (pick-wt=11): 1007 [] times_times_nat(times_times_nat(A,B),C)=times_times_nat(A,times_times_nat(B,C)). % 7.46/7.48 ---> New Demodulator: 1008 [new_demod,1007] times_times_nat(times_times_nat(A,B),C)=times_times_nat(A,times_times_nat(B,C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,757] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,1006] times_times_real(A,times_times_real(B,C))=times_times_real(A,times_times_real(B,C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,1008] times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(B,C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,757] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)). % 7.46/7.48 ** KEPT (pick-wt=11): 1009 [] times_times_real(A,times_times_real(B,C))=times_times_real(B,times_times_real(A,C)). % 7.46/7.48 ** KEPT (pick-wt=11): 1010 [] times_times_nat(A,times_times_nat(B,C))=times_times_nat(B,times_times_nat(A,C)). % 7.46/7.48 ** KEPT (pick-wt=11): 1011 [] times_times_int(A,times_times_int(B,C))=times_times_int(B,times_times_int(A,C)). % 7.46/7.48 ** KEPT (pick-wt=7): 1012 [] times_times_real(A,B)=times_times_real(B,A). % 7.46/7.48 ** KEPT (pick-wt=7): 1013 [] times_times_nat(A,B)=times_times_nat(B,A). % 7.46/7.48 Following clause subsumed by 751 during input processing: 0 [] times_times_int(A,B)=times_times_int(B,A). % 7.46/7.48 ** KEPT (pick-wt=7): 1014 [] plus_plus_real(A,B)=plus_plus_real(B,A). % 7.46/7.48 ** KEPT (pick-wt=7): 1015 [] plus_plus_nat(A,B)=plus_plus_nat(B,A). % 7.46/7.48 Following clause subsumed by 804 during input processing: 0 [] plus_plus_int(A,B)=plus_plus_int(B,A). % 7.46/7.48 ** KEPT (pick-wt=11): 1016 [] plus_plus_real(A,plus_plus_real(B,C))=plus_plus_real(B,plus_plus_real(A,C)). % 7.46/7.48 ** KEPT (pick-wt=11): 1017 [] plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(B,plus_plus_nat(A,C)). % 7.46/7.48 Following clause subsumed by 803 during input processing: 0 [] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(B,plus_plus_int(A,C)). % 7.46/7.48 ** KEPT (pick-wt=11): 1019 [copy,1018,flip.1] plus_plus_real(plus_plus_real(A,B),C)=plus_plus_real(A,plus_plus_real(B,C)). % 7.46/7.48 ---> New Demodulator: 1020 [new_demod,1019] plus_plus_real(plus_plus_real(A,B),C)=plus_plus_real(A,plus_plus_real(B,C)). % 7.46/7.48 ** KEPT (pick-wt=11): 1022 [copy,1021,flip.1] plus_plus_nat(plus_plus_nat(A,B),C)=plus_plus_nat(A,plus_plus_nat(B,C)). % 7.46/7.48 ---> New Demodulator: 1023 [new_demod,1022] plus_plus_nat(plus_plus_nat(A,B),C)=plus_plus_nat(A,plus_plus_nat(B,C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,802] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,1020] plus_plus_real(A,plus_plus_real(B,C))=plus_plus_real(A,plus_plus_real(B,C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,1023] plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(B,C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,802] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)). % 7.46/7.48 ** KEPT (pick-wt=11): 1025 [copy,1024,demod,1020,1020] plus_plus_real(A,plus_plus_real(B,C))=plus_plus_real(A,plus_plus_real(C,B)). % 7.46/7.48 ** KEPT (pick-wt=11): 1027 [copy,1026,demod,1023,1023] plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(C,B)). % 7.46/7.48 ** KEPT (pick-wt=11): 1029 [copy,1028,demod,802,802] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(C,B)). % 7.46/7.48 ** KEPT (pick-wt=15): 1031 [copy,1030,demod,1020,1020] plus_plus_real(A,plus_plus_real(B,plus_plus_real(C,D)))=plus_plus_real(A,plus_plus_real(C,plus_plus_real(B,D))). % 7.46/7.48 ** KEPT (pick-wt=15): 1033 [copy,1032,demod,1023,1023] plus_plus_nat(A,plus_plus_nat(B,plus_plus_nat(C,D)))=plus_plus_nat(A,plus_plus_nat(C,plus_plus_nat(B,D))). % 7.46/7.48 ** KEPT (pick-wt=15): 1035 [copy,1034,demod,802,802] plus_plus_int(A,plus_plus_int(B,plus_plus_int(C,D)))=plus_plus_int(A,plus_plus_int(C,plus_plus_int(B,D))). % 7.46/7.48 ** KEPT (pick-wt=5): 1036 [] power_power_real(A,one_one_nat)=A. % 7.46/7.48 ---> New Demodulator: 1037 [new_demod,1036] power_power_real(A,one_one_nat)=A. % 7.46/7.48 ** KEPT (pick-wt=5): 1038 [] power_power_nat(A,one_one_nat)=A. % 7.46/7.48 ---> New Demodulator: 1039 [new_demod,1038] power_power_nat(A,one_one_nat)=A. % 7.46/7.48 ** KEPT (pick-wt=9): 1041 [copy,1040,demod,895,837,802,802,934] times_times_nat(A,plus_plus_nat(one_one_nat,one_one_nat))=plus_plus_nat(A,A). % 7.46/7.48 ---> New Demodulator: 1042 [new_demod,1041] times_times_nat(A,plus_plus_nat(one_one_nat,one_one_nat))=plus_plus_nat(A,A). % 7.46/7.48 ** KEPT (pick-wt=9): 1044 [copy,1043,demod,895,837,802,802,934] times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),A)=plus_plus_nat(A,A). % 7.46/7.48 ---> New Demodulator: 1045 [new_demod,1044] times_times_nat(plus_plus_nat(one_one_nat,one_one_nat),A)=plus_plus_nat(A,A). % 7.46/7.48 ** KEPT (pick-wt=13): 1047 [copy,1046,flip.2] ord_less_int(A,pls)|number_number_of_nat(times_times_int(A,B))=times_times_nat(number_number_of_nat(A),number_number_of_nat(B)). % 7.46/7.48 ** KEPT (pick-wt=17): 1049 [copy,1048,flip.2] ord_less_int(A,pls)|times_times_nat(number_number_of_nat(times_times_int(A,B)),C)=times_times_nat(number_number_of_nat(A),times_times_nat(number_number_of_nat(B),C)). % 7.46/7.48 ** KEPT (pick-wt=13): 1051 [copy,1050,demod,895,837,802,802,934,1045,895,837,802,802,934,flip.1] power_power_real(power_power_real(A,B),plus_plus_nat(one_one_nat,one_one_nat))=power_power_real(A,plus_plus_nat(B,B)). % 7.46/7.48 ---> New Demodulator: 1052 [new_demod,1051] power_power_real(power_power_real(A,B),plus_plus_nat(one_one_nat,one_one_nat))=power_power_real(A,plus_plus_nat(B,B)). % 7.46/7.48 ** KEPT (pick-wt=13): 1054 [copy,1053,demod,895,837,802,802,934,1045,895,837,802,802,934,flip.1] power_power_nat(power_power_nat(A,B),plus_plus_nat(one_one_nat,one_one_nat))=power_power_nat(A,plus_plus_nat(B,B)). % 7.46/7.48 ---> New Demodulator: 1055 [new_demod,1054] power_power_nat(power_power_nat(A,B),plus_plus_nat(one_one_nat,one_one_nat))=power_power_nat(A,plus_plus_nat(B,B)). % 7.46/7.48 ** KEPT (pick-wt=13): 1057 [copy,1056,demod,895,837,802,802,934,1045,895,837,802,802,934,flip.1] power_power_int(power_power_int(A,B),plus_plus_nat(one_one_nat,one_one_nat))=power_power_int(A,plus_plus_nat(B,B)). % 7.46/7.48 ---> New Demodulator: 1058 [new_demod,1057] power_power_int(power_power_int(A,B),plus_plus_nat(one_one_nat,one_one_nat))=power_power_int(A,plus_plus_nat(B,B)). % 7.46/7.48 ** KEPT (pick-wt=5): 1059 [] times_times_real(zero_zero_real,A)=zero_zero_real. % 7.46/7.48 ---> New Demodulator: 1060 [new_demod,1059] times_times_real(zero_zero_real,A)=zero_zero_real. % 7.46/7.48 ** KEPT (pick-wt=5): 1061 [] times_times_nat(zero_zero_nat,A)=zero_zero_nat. % 7.46/7.48 ---> New Demodulator: 1062 [new_demod,1061] times_times_nat(zero_zero_nat,A)=zero_zero_nat. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,832,778,832] pls=pls. % 7.46/7.48 ** KEPT (pick-wt=5): 1063 [] times_times_real(A,zero_zero_real)=zero_zero_real. % 7.46/7.48 ---> New Demodulator: 1064 [new_demod,1063] times_times_real(A,zero_zero_real)=zero_zero_real. % 7.46/7.48 ** KEPT (pick-wt=5): 1065 [] times_times_nat(A,zero_zero_nat)=zero_zero_nat. % 7.46/7.48 ---> New Demodulator: 1066 [new_demod,1065] times_times_nat(A,zero_zero_nat)=zero_zero_nat. % 7.46/7.48 ** KEPT (pick-wt=5): 1068 [copy,1067,demod,832,832] times_times_int(A,pls)=pls. % 7.46/7.48 ---> New Demodulator: 1069 [new_demod,1068] times_times_int(A,pls)=pls. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,876] A=A. % 7.46/7.48 ** KEPT (pick-wt=5): 1070 [] plus_plus_nat(zero_zero_nat,A)=A. % 7.46/7.48 ---> New Demodulator: 1071 [new_demod,1070] plus_plus_nat(zero_zero_nat,A)=A. % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,879] A=A. % 7.46/7.48 ** KEPT (pick-wt=5): 1072 [] plus_plus_nat(A,zero_zero_nat)=A. % 7.46/7.48 ---> New Demodulator: 1073 [new_demod,1072] plus_plus_nat(A,zero_zero_nat)=A. % 7.46/7.48 ** KEPT (pick-wt=13): 1074 [] times_times_real(A,plus_plus_real(B,C))=plus_plus_real(times_times_real(A,B),times_times_real(A,C)). % 7.46/7.48 ---> New Demodulator: 1075 [new_demod,1074] times_times_real(A,plus_plus_real(B,C))=plus_plus_real(times_times_real(A,B),times_times_real(A,C)). % 7.46/7.48 ** KEPT (pick-wt=13): 1076 [] times_times_nat(A,plus_plus_nat(B,C))=plus_plus_nat(times_times_nat(A,B),times_times_nat(A,C)). % 7.46/7.48 ---> New Demodulator: 1077 [new_demod,1076] times_times_nat(A,plus_plus_nat(B,C))=plus_plus_nat(times_times_nat(A,B),times_times_nat(A,C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,788] plus_plus_int(times_times_int(A,B),times_times_int(A,C))=plus_plus_int(times_times_int(A,B),times_times_int(A,C)). % 7.46/7.48 ** KEPT (pick-wt=13): 1078 [] times_times_real(plus_plus_real(A,B),C)=plus_plus_real(times_times_real(A,C),times_times_real(B,C)). % 7.46/7.48 ---> New Demodulator: 1079 [new_demod,1078] times_times_real(plus_plus_real(A,B),C)=plus_plus_real(times_times_real(A,C),times_times_real(B,C)). % 7.46/7.48 ** KEPT (pick-wt=13): 1080 [] times_times_nat(plus_plus_nat(A,B),C)=plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C)). % 7.46/7.48 ---> New Demodulator: 1081 [new_demod,1080] times_times_nat(plus_plus_nat(A,B),C)=plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,786] plus_plus_int(times_times_int(A,C),times_times_int(B,C))=plus_plus_int(times_times_int(A,C),times_times_int(B,C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,1079] plus_plus_real(times_times_real(A,B),times_times_real(C,B))=plus_plus_real(times_times_real(A,B),times_times_real(C,B)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,1081] plus_plus_nat(times_times_nat(A,B),times_times_nat(C,B))=plus_plus_nat(times_times_nat(A,B),times_times_nat(C,B)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,786] plus_plus_int(times_times_int(A,B),times_times_int(C,B))=plus_plus_int(times_times_int(A,B),times_times_int(C,B)). % 7.46/7.48 ** KEPT (pick-wt=5): 1082 [] times_times_real(one_one_real,A)=A. % 7.46/7.48 ---> New Demodulator: 1083 [new_demod,1082] times_times_real(one_one_real,A)=A. % 7.46/7.48 ** KEPT (pick-wt=5): 1084 [] times_times_nat(one_one_nat,A)=A. % 7.46/7.48 ---> New Demodulator: 1085 [new_demod,1084] times_times_nat(one_one_nat,A)=A. % 7.46/7.48 ** KEPT (pick-wt=5): 1086 [] times_times_real(A,one_one_real)=A. % 7.46/7.48 ---> New Demodulator: 1087 [new_demod,1086] times_times_real(A,one_one_real)=A. % 7.46/7.48 ** KEPT (pick-wt=5): 1088 [] times_times_nat(A,one_one_nat)=A. % 7.46/7.48 ---> New Demodulator: 1089 [new_demod,1088] times_times_nat(A,one_one_nat)=A. % 7.46/7.48 ** KEPT (pick-wt=13): 1091 [copy,1090,flip.1] times_times_real(power_power_real(A,B),power_power_real(C,B))=power_power_real(times_times_real(A,C),B). % 7.46/7.48 ---> New Demodulator: 1092 [new_demod,1091] times_times_real(power_power_real(A,B),power_power_real(C,B))=power_power_real(times_times_real(A,C),B). % 7.46/7.48 ** KEPT (pick-wt=13): 1094 [copy,1093,flip.1] times_times_nat(power_power_nat(A,B),power_power_nat(C,B))=power_power_nat(times_times_nat(A,C),B). % 7.46/7.48 ---> New Demodulator: 1095 [new_demod,1094] times_times_nat(power_power_nat(A,B),power_power_nat(C,B))=power_power_nat(times_times_nat(A,C),B). % 7.46/7.48 ** KEPT (pick-wt=13): 1097 [copy,1096,flip.1] times_times_int(power_power_int(A,B),power_power_int(C,B))=power_power_int(times_times_int(A,C),B). % 7.46/7.48 ---> New Demodulator: 1098 [new_demod,1097] times_times_int(power_power_int(A,B),power_power_int(C,B))=power_power_int(times_times_int(A,C),B). % 7.46/7.48 ** KEPT (pick-wt=13): 1099 [] times_times_real(power_power_real(A,B),power_power_real(A,C))=power_power_real(A,plus_plus_nat(B,C)). % 7.46/7.48 ---> New Demodulator: 1100 [new_demod,1099] times_times_real(power_power_real(A,B),power_power_real(A,C))=power_power_real(A,plus_plus_nat(B,C)). % 7.46/7.48 ** KEPT (pick-wt=13): 1101 [] times_times_nat(power_power_nat(A,B),power_power_nat(A,C))=power_power_nat(A,plus_plus_nat(B,C)). % 7.46/7.48 ---> New Demodulator: 1102 [new_demod,1101] times_times_nat(power_power_nat(A,B),power_power_nat(A,C))=power_power_nat(A,plus_plus_nat(B,C)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,760] power_power_int(A,plus_plus_nat(B,C))=power_power_int(A,plus_plus_nat(B,C)). % 7.46/7.48 ** KEPT (pick-wt=5): 1103 [] power_power_real(A,zero_zero_nat)=one_one_real. % 7.46/7.48 ---> New Demodulator: 1104 [new_demod,1103] power_power_real(A,zero_zero_nat)=one_one_real. % 7.46/7.48 ** KEPT (pick-wt=5): 1105 [] power_power_nat(A,zero_zero_nat)=one_one_nat. % 7.46/7.48 ---> New Demodulator: 1106 [new_demod,1105] power_power_nat(A,zero_zero_nat)=one_one_nat. % 7.46/7.48 ** KEPT (pick-wt=5): 1107 [] power_power_int(A,zero_zero_nat)=one_one_int. % 7.46/7.48 ---> New Demodulator: 1108 [new_demod,1107] power_power_int(A,zero_zero_nat)=one_one_int. % 7.46/7.48 Following clause subsumed by 750 during input processing: 0 [demod,832,832] ord_less_e_q_int(pls,pls). % 7.46/7.48 ** KEPT (pick-wt=7): 1110 [copy,1109,demod,895,837,802,802,934,1081,1085,1085] ord_less_e_q_real(zero_zero_real,power_power_real(A,plus_plus_nat(B,B))). % 7.46/7.48 ** KEPT (pick-wt=7): 1112 [copy,1111,demod,832,895,837,802,802,934,1081,1085,1085] ord_less_e_q_int(pls,power_power_int(A,plus_plus_nat(B,B))). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,1079,1083,1083] plus_plus_real(A,A)=plus_plus_real(A,A). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,1081,1085,1085] plus_plus_nat(A,A)=plus_plus_nat(A,A). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,786,856] plus_plus_int(A,A)=plus_plus_int(A,A). % 7.46/7.48 Following clause subsumed by 1014 during input processing: 0 [demod,1079,1083,flip.1] plus_plus_real(times_times_real(B,A),A)=plus_plus_real(A,times_times_real(B,A)). % 7.46/7.48 Following clause subsumed by 1015 during input processing: 0 [demod,1081,1085,flip.1] plus_plus_nat(times_times_nat(B,A),A)=plus_plus_nat(A,times_times_nat(B,A)). % 7.46/7.48 ** KEPT (pick-wt=13): 1114 [copy,1113,demod,786,flip.1] plus_plus_int(times_times_int(A,B),times_times_int(one_one_int,B))=plus_plus_int(B,times_times_int(A,B)). % 7.46/7.48 ---> New Demodulator: 1115 [new_demod,1114] plus_plus_int(times_times_int(A,B),times_times_int(one_one_int,B))=plus_plus_int(B,times_times_int(A,B)). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,1079,1083] plus_plus_real(times_times_real(A,B),B)=plus_plus_real(times_times_real(A,B),B). % 7.46/7.48 Following clause subsumed by 699 during input processing: 0 [demod,1081,1085] plus_plus_nat(times_times_nat(A,B),B)=plus_plus_nat(times_times_nat(A,B),B). % 7.46/7.48 Following clause subsumed by 804 during input processing: 0 [demod,786,1115] plus_plus_int(times_times_int(A,B),B)=plus_plus_int(B,times_times_int(A,B)). % 7.46/7.49 ** KEPT (pick-wt=3): 1117 [copy,1116,demod,832] ord_less_e_q_int(pls,one_one_int). % 7.46/7.49 ** KEPT (pick-wt=10): 1118 [] number_number_of_nat(A)=zero_zero_nat|power_power_real(zero_zero_real,number_number_of_nat(A))=zero_zero_real. % 7.46/7.49 ** KEPT (pick-wt=10): 1119 [] number_number_of_nat(A)=zero_zero_nat|power_power_nat(zero_zero_nat,number_number_of_nat(A))=zero_zero_nat. % 7.46/7.49 ** KEPT (pick-wt=10): 1121 [copy,1120,demod,832,832] number_number_of_nat(A)=zero_zero_nat|power_power_int(pls,number_number_of_nat(A))=pls. % 7.46/7.49 ** KEPT (pick-wt=8): 1123 [copy,1122,demod,832,895,895,802,802,784,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937] ord_less_e_q_int(pls,plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(one_one_int,one_one_int))). % 7.46/7.49 ** KEPT (pick-wt=36): 1125 [copy,1124,demod,895,837,802,802,934,895,837,802,802,934,1058,1023,895,837,802,802,837,802,802,802,802,802,flip.1] power_power_int(A,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))))))))=power_power_int(A,plus_plus_nat(one_one_nat,plus_plus_nat(one_one_nat,plus_plus_nat(one_one_nat,one_one_nat)))). % 7.46/7.49 ---> New Demodulator: 1126 [new_demod,1125] power_power_int(A,number_number_of_nat(plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,pls)))))))))))))=power_power_int(A,plus_plus_nat(one_one_nat,plus_plus_nat(one_one_nat,plus_plus_nat(one_one_nat,one_one_nat)))). % 7.46/7.49 ** KEPT (pick-wt=9): 1128 [copy,1127,demod,895,837,802,802,934] times_times_real(A,A)=power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ---> New Demodulator: 1129 [new_demod,1128] times_times_real(A,A)=power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ** KEPT (pick-wt=9): 1131 [copy,1130,demod,895,837,802,802,934] times_times_nat(A,A)=power_power_nat(A,plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ---> New Demodulator: 1132 [new_demod,1131] times_times_nat(A,A)=power_power_nat(A,plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ** KEPT (pick-wt=9): 1134 [copy,1133,demod,895,837,802,802,934] times_times_int(A,A)=power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ---> New Demodulator: 1135 [new_demod,1134] times_times_int(A,A)=power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ** KEPT (pick-wt=33): 1137 [copy,1136,demod,895,837,802,802,934,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,1115,802,802,802,802,802,802,802] zcong(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(times_times_int(one_one_int,m),one_one_int))))))))). % 7.46/7.49 ** KEPT (pick-wt=5): 1139 [copy,1138,demod,895,837,802,802,934] ord_less_nat(zero_zero_nat,plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ** KEPT (pick-wt=2): 1140 [] is_int($c4). % 7.46/7.49 ** KEPT (pick-wt=33): 1142 [copy,1141,demod,895,837,802,802,934,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,1115,802,802,802,802,802,802,802] zcong(power_power_int($c4,plus_plus_nat(one_one_nat,one_one_nat)),number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(times_times_int(one_one_int,m),one_one_int))))))))). % 7.46/7.49 ** KEPT (pick-wt=30): 1144 [copy,1143,demod,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,1115,802,802,802,802,802,802,802] legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(times_times_int(one_one_int,m),one_one_int)))))))))=one_one_int. % 7.46/7.49 ---> New Demodulator: 1145 [new_demod,1144] legendre(number_number_of_int(min),plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(times_times_int(one_one_int,m),one_one_int)))))))))=one_one_int. % 7.46/7.49 ** KEPT (pick-wt=7): 1147 [copy,1146,demod,895] plus_plus_int(one_one_int,plus_plus_int(min,min))=min. % 7.46/7.49 ---> New Demodulator: 1148 [new_demod,1147] plus_plus_int(one_one_int,plus_plus_int(min,min))=min. % 7.46/7.49 Following clause subsumed by 750 during input processing: 0 [] ord_less_e_q_int(min,min). % 7.46/7.49 ** KEPT (pick-wt=3): 1149 [] ord_less_int(min,pls). % 7.46/7.49 Following clause subsumed by 1149 during input processing: 0 [demod,832] ord_less_int(min,pls). % 7.46/7.49 ** KEPT (pick-wt=3): 1150 [] ord_less_e_q_int(min,pls). % 7.46/7.49 ** KEPT (pick-wt=4): 1151 [] zcong(A,A,B). % 7.46/7.49 ** KEPT (pick-wt=4): 1152 [] zcong(A,B,one_one_int). % 7.46/7.49 ** KEPT (pick-wt=8): 1153 [] zcong(times_times_int(A,B),times_times_int(C,B),B). % 7.46/7.49 ** KEPT (pick-wt=8): 1155 [copy,1154,demod,895,837,802,802,934,1081,1085,1085] power_power_real(number267125858f_real(min),plus_plus_nat(A,A))=one_one_real. % 7.46/7.49 ---> New Demodulator: 1156 [new_demod,1155] power_power_real(number267125858f_real(min),plus_plus_nat(A,A))=one_one_real. % 7.46/7.49 ** KEPT (pick-wt=8): 1158 [copy,1157,demod,895,837,802,802,934,1081,1085,1085] power_power_int(number_number_of_int(min),plus_plus_nat(A,A))=one_one_int. % 7.46/7.49 ---> New Demodulator: 1159 [new_demod,1158] power_power_int(number_number_of_int(min),plus_plus_nat(A,A))=one_one_int. % 7.46/7.49 ** KEPT (pick-wt=49): 1161 [copy,1160,demod,895,837,802,802,837,802,802,802,802,802,885,885,873,885,873,885,885,873,885,873,885,885,873,885,873,885,840,873,1064,873,1064,879,879,876,876,876,876,876,876,895,837,802,802,934,1079,1079,1079,895,837,802,802,885,885,873,885,873,885,840,873,1064,873,1064,879,879,876,876,1079,895,837,802,802,934] plus_plus_real(times_times_real(number267125858f_real(one_one_int),power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat))),plus_plus_real(times_times_real(number267125858f_real(one_one_int),power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat))),plus_plus_real(times_times_real(number267125858f_real(one_one_int),power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat))),times_times_real(number267125858f_real(one_one_int),power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat))))))=power_power_real(plus_plus_real(times_times_real(number267125858f_real(one_one_int),A),times_times_real(number267125858f_real(one_one_int),A)),plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ---> New Demodulator: 1162 [new_demod,1161] plus_plus_real(times_times_real(number267125858f_real(one_one_int),power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat))),plus_plus_real(times_times_real(number267125858f_real(one_one_int),power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat))),plus_plus_real(times_times_real(number267125858f_real(one_one_int),power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat))),times_times_real(number267125858f_real(one_one_int),power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat))))))=power_power_real(plus_plus_real(times_times_real(number267125858f_real(one_one_int),A),times_times_real(number267125858f_real(one_one_int),A)),plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ** KEPT (pick-wt=28): 1164 [copy,1163,demod,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,1115,802,802,802,802,802,802,802] quadRes(plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(times_times_int(one_one_int,m),one_one_int)))))))),number_number_of_int(min)). % 7.46/7.49 ** KEPT (pick-wt=34): 1166 [copy,1165,demod,895,837,802,802,837,802,802,802,802,802,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,786,778,786,778,786,786,778,786,778,786,1115,802,802,802,802,802,802,802,895,837,802,802,934] dvd_dvd_int(plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(m,plus_plus_int(times_times_int(one_one_int,m),one_one_int)))))))),minus_minus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),number_number_of_int(min))). % 7.46/7.49 ** KEPT (pick-wt=16): 1168 [copy,1167,demod,895,837,802,802,934,895,837,802,802,934] minus_minus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),number_number_of_int(min))=plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int). % 7.46/7.49 ---> New Demodulator: 1169 [new_demod,1168] minus_minus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),number_number_of_int(min))=plus_plus_int(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),one_one_int). % 7.46/7.49 ** KEPT (pick-wt=10): 1171 [copy,1170,demod,1129] ord_less_real(zero_zero_real,power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat)))|A=zero_zero_real. % 7.46/7.49 ** KEPT (pick-wt=13): 1172 [] times_times_int(A,minus_minus_int(B,C))=minus_minus_int(times_times_int(A,B),times_times_int(A,C)). % 7.46/7.49 ---> New Demodulator: 1173 [new_demod,1172] times_times_int(A,minus_minus_int(B,C))=minus_minus_int(times_times_int(A,B),times_times_int(A,C)). % 7.46/7.49 ** KEPT (pick-wt=13): 1174 [] times_times_int(minus_minus_int(A,B),C)=minus_minus_int(times_times_int(A,C),times_times_int(B,C)). % 7.46/7.49 ---> New Demodulator: 1175 [new_demod,1174] times_times_int(minus_minus_int(A,B),C)=minus_minus_int(times_times_int(A,C),times_times_int(B,C)). % 7.46/7.49 ** KEPT (pick-wt=15): 1177 [copy,1176,demod,837,837,837,flip.1] plus_plus_int(minus_minus_int(A,B),minus_minus_int(A,B))=minus_minus_int(plus_plus_int(A,A),plus_plus_int(B,B)). % 7.46/7.49 ---> New Demodulator: 1178 [new_demod,1177] plus_plus_int(minus_minus_int(A,B),minus_minus_int(A,B))=minus_minus_int(plus_plus_int(A,A),plus_plus_int(B,B)). % 7.46/7.49 ** KEPT (pick-wt=10): 1179 [] number267125858f_real(minus_minus_int(A,B))=minus_minus_real(number267125858f_real(A),number267125858f_real(B)). % 7.46/7.49 ---> New Demodulator: 1180 [new_demod,1179] number267125858f_real(minus_minus_int(A,B))=minus_minus_real(number267125858f_real(A),number267125858f_real(B)). % 7.46/7.49 ** KEPT (pick-wt=10): 1181 [] number_number_of_int(minus_minus_int(A,B))=minus_minus_int(number_number_of_int(A),number_number_of_int(B)). % 7.46/7.49 ---> New Demodulator: 1182 [new_demod,1181] number_number_of_int(minus_minus_int(A,B))=minus_minus_int(number_number_of_int(A),number_number_of_int(B)). % 7.46/7.49 ** KEPT (pick-wt=16): 1183 [] times_times_real(number267125858f_real(A),minus_minus_real(B,C))=minus_minus_real(times_times_real(number267125858f_real(A),B),times_times_real(number267125858f_real(A),C)). % 7.46/7.49 ---> New Demodulator: 1184 [new_demod,1183] times_times_real(number267125858f_real(A),minus_minus_real(B,C))=minus_minus_real(times_times_real(number267125858f_real(A),B),times_times_real(number267125858f_real(A),C)). % 7.46/7.49 Following clause subsumed by 699 during input processing: 0 [demod,1173] minus_minus_int(times_times_int(number_number_of_int(A),B),times_times_int(number_number_of_int(A),C))=minus_minus_int(times_times_int(number_number_of_int(A),B),times_times_int(number_number_of_int(A),C)). % 7.46/7.49 ** KEPT (pick-wt=16): 1185 [] times_times_real(minus_minus_real(A,B),number267125858f_real(C))=minus_minus_real(times_times_real(A,number267125858f_real(C)),times_times_real(B,number267125858f_real(C))). % 7.46/7.49 ---> New Demodulator: 1186 [new_demod,1185] times_times_real(minus_minus_real(A,B),number267125858f_real(C))=minus_minus_real(times_times_real(A,number267125858f_real(C)),times_times_real(B,number267125858f_real(C))). % 7.46/7.49 Following clause subsumed by 699 during input processing: 0 [demod,1175] minus_minus_int(times_times_int(A,number_number_of_int(C)),times_times_int(B,number_number_of_int(C)))=minus_minus_int(times_times_int(A,number_number_of_int(C)),times_times_int(B,number_number_of_int(C))). % 7.46/7.49 ** KEPT (pick-wt=19): 1188 [copy,1187,demod,895,837,895,1178,flip.1] plus_plus_int(one_one_int,minus_minus_int(plus_plus_int(A,A),plus_plus_int(B,B)))=minus_minus_int(plus_plus_int(one_one_int,plus_plus_int(A,A)),plus_plus_int(B,B)). % 7.46/7.49 ---> New Demodulator: 1189 [new_demod,1188] plus_plus_int(one_one_int,minus_minus_int(plus_plus_int(A,A),plus_plus_int(B,B)))=minus_minus_int(plus_plus_int(one_one_int,plus_plus_int(A,A)),plus_plus_int(B,B)). % 7.46/7.49 ** KEPT (pick-wt=19): 1191 [copy,1190,demod,895,895,837,1178] minus_minus_int(plus_plus_int(one_one_int,plus_plus_int(A,A)),plus_plus_int(one_one_int,plus_plus_int(B,B)))=minus_minus_int(plus_plus_int(A,A),plus_plus_int(B,B)). % 7.46/7.49 ---> New Demodulator: 1192 [new_demod,1191] minus_minus_int(plus_plus_int(one_one_int,plus_plus_int(A,A)),plus_plus_int(one_one_int,plus_plus_int(B,B)))=minus_minus_int(plus_plus_int(A,A),plus_plus_int(B,B)). % 7.46/7.49 ** KEPT (pick-wt=13): 1194 [copy,1193,demod,837,837,1178,flip.1] minus_minus_int(plus_plus_int(pls,pls),plus_plus_int(A,A))=minus_minus_int(pls,plus_plus_int(A,A)). % 7.46/7.49 ---> New Demodulator: 1195 [new_demod,1194] minus_minus_int(plus_plus_int(pls,pls),plus_plus_int(A,A))=minus_minus_int(pls,plus_plus_int(A,A)). % 7.46/7.49 ** KEPT (pick-wt=39): 1197 [copy,1196,demod,1175,757,1175,757,788] plus_plus_int(minus_minus_int(times_times_int(A,B),times_times_int(C,times_times_int(D,B))),minus_minus_int(times_times_int(E,F),times_times_int(C,times_times_int(G,F))))=minus_minus_int(plus_plus_int(times_times_int(A,B),times_times_int(E,F)),plus_plus_int(times_times_int(C,times_times_int(D,B)),times_times_int(C,times_times_int(G,F)))). % 7.46/7.49 ---> New Demodulator: 1198 [new_demod,1197] plus_plus_int(minus_minus_int(times_times_int(A,B),times_times_int(C,times_times_int(D,B))),minus_minus_int(times_times_int(E,F),times_times_int(C,times_times_int(G,F))))=minus_minus_int(plus_plus_int(times_times_int(A,B),times_times_int(E,F)),plus_plus_int(times_times_int(C,times_times_int(D,B)),times_times_int(C,times_times_int(G,F)))). % 7.46/7.49 ** KEPT (pick-wt=15): 1200 [copy,1199,demod,885] plus_plus_real(number267125858f_real(A),minus_minus_real(number267125858f_real(B),C))=minus_minus_real(plus_plus_real(number267125858f_real(A),number267125858f_real(B)),C). % 7.46/7.49 ---> New Demodulator: 1201 [new_demod,1200] plus_plus_real(number267125858f_real(A),minus_minus_real(number267125858f_real(B),C))=minus_minus_real(plus_plus_real(number267125858f_real(A),number267125858f_real(B)),C). % 7.46/7.49 ** KEPT (pick-wt=15): 1203 [copy,1202,demod,784] plus_plus_int(number_number_of_int(A),minus_minus_int(number_number_of_int(B),C))=minus_minus_int(plus_plus_int(number_number_of_int(A),number_number_of_int(B)),C). % 7.46/7.49 ---> New Demodulator: 1204 [new_demod,1203] plus_plus_int(number_number_of_int(A),minus_minus_int(number_number_of_int(B),C))=minus_minus_int(plus_plus_int(number_number_of_int(A),number_number_of_int(B)),C). % 7.46/7.49 ** KEPT (pick-wt=13): 1206 [copy,1205,demod,895,895,1178,1189,1148] minus_minus_int(pls,plus_plus_int(one_one_int,plus_plus_int(A,A)))=minus_minus_int(min,plus_plus_int(A,A)). % 7.46/7.49 ---> New Demodulator: 1207 [new_demod,1206] minus_minus_int(pls,plus_plus_int(one_one_int,plus_plus_int(A,A)))=minus_minus_int(min,plus_plus_int(A,A)). % 7.46/7.49 ** KEPT (pick-wt=15): 1209 [copy,1208,demod,895,837,1178] minus_minus_int(min,plus_plus_int(one_one_int,plus_plus_int(A,A)))=minus_minus_int(plus_plus_int(min,min),plus_plus_int(A,A)). % 7.46/7.49 ---> New Demodulator: 1210 [new_demod,1209] minus_minus_int(min,plus_plus_int(one_one_int,plus_plus_int(A,A)))=minus_min % 7.46/7.49 Search stopped in tp_alloc by max_mem option. % 7.46/7.49 us_int(plus_plus_int(min,min),plus_plus_int(A,A)). % 7.46/7.49 Following clause subsumed by 699 during input processing: 0 [demod,837,895,1178,1189,1148] minus_minus_int(min,plus_plus_int(A,A))=minus_minus_int(min,plus_plus_int(A,A)). % 7.46/7.49 ** KEPT (pick-wt=31): 1212 [copy,1211,demod,1173,786,1135,786,1135,895,837,802,802,934,895,837,802,802,934] minus_minus_int(plus_plus_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),times_times_int(B,A)),plus_plus_int(times_times_int(A,B),power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat))))=minus_minus_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat))). % 7.46/7.49 ---> New Demodulator: 1213 [new_demod,1212] minus_minus_int(plus_plus_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),times_times_int(B,A)),plus_plus_int(times_times_int(A,B),power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat))))=minus_minus_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat))). % 7.46/7.49 ** KEPT (pick-wt=4): 1215 [copy,1214,demod,832] zcong(A,pls,A). % 7.46/7.49 ** KEPT (pick-wt=33): 1217 [copy,1216,demod,895,837,802,802,934,895,837,802,802,934,895,837,802,802,934,895,837,802,802,885,885,873,885,873,885,840,873,1064,873,1064,879,879,876,876,1079,1079,1006,1006,flip.1] minus_minus_real(plus_plus_real(power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat)),power_power_real(B,plus_plus_nat(one_one_nat,one_one_nat))),plus_plus_real(times_times_real(number267125858f_real(one_one_int),times_times_real(A,B)),times_times_real(number267125858f_real(one_one_int),times_times_real(A,B))))=power_power_real(minus_minus_real(A,B),plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ---> New Demodulator: 1218 [new_demod,1217] minus_minus_real(plus_plus_real(power_power_real(A,plus_plus_nat(one_one_nat,one_one_nat)),power_power_real(B,plus_plus_nat(one_one_nat,one_one_nat))),plus_plus_real(times_times_real(number267125858f_real(one_one_int),times_times_real(A,B)),times_times_real(number267125858f_real(one_one_int),times_times_real(A,B))))=power_power_real(minus_minus_real(A,B),plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ** KEPT (pick-wt=29): 1220 [copy,1219,demod,895,837,802,802,934,895,837,802,802,934,895,837,802,802,934,895,837,802,802,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,1115,786,757,flip.1] minus_minus_int(plus_plus_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat))),plus_plus_int(times_times_int(A,B),times_times_int(one_one_int,times_times_int(A,B))))=power_power_int(minus_minus_int(A,B),plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ---> New Demodulator: 1221 [new_demod,1220] minus_minus_int(plus_plus_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat))),plus_plus_int(times_times_int(A,B),times_times_int(one_one_int,times_times_int(A,B))))=power_power_int(minus_minus_int(A,B),plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ** KEPT (pick-wt=29): 1223 [copy,1222,demod,895,837,802,802,934,895,837,802,802,934,895,837,802,802,784,784,807,832,784,807,832,784,784,807,832,807,832,928,937,786,1115,786,757,895,837,802,802,934,flip.1] plus_plus_int(minus_minus_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),plus_plus_int(times_times_int(A,B),times_times_int(one_one_int,times_times_int(A,B)))),power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat)))=power_power_int(minus_minus_int(A,B),plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 ---> New Demodulator: 1224 [new_demod,1223] plus_plus_int(minus_minus_int(power_power_int(A,plus_plus_nat(one_one_nat,one_one_nat)),plus_plus_int(times_times_int(A,B),times_times_int(one_one_int,times_times_int(A,B)))),power_power_int(B,plus_plus_nat(one_one_nat,one_one_nat)))=power_power_int(minus_minus_int(A,B),plus_plus_nat(one_one_nat,one_one_nat)). % 7.46/7.49 % 7.46/7.49 Search stopped in tp_alloc by max_mem option. % 7.46/7.49 % 7.46/7.49 ============ end of search ============ % 7.46/7.49 % 7.46/7.49 -------------- statistics ------------- % 7.46/7.49 clauses given 0 % 7.46/7.49 clauses generated 327 % 7.46/7.49 clauses kept 930 % 7.46/7.49 clauses forward subsumed 304 % 7.46/7.49 clauses back subsumed 22 % 7.46/7.49 Kbytes malloced 11718 % 7.46/7.49 % 7.46/7.49 ----------- times (seconds) ----------- % 7.46/7.49 user CPU time 0.16 (0 hr, 0 min, 0 sec) % 7.46/7.49 system CPU time 0.01 (0 hr, 0 min, 0 sec) % 7.46/7.49 wall-clock time 7 (0 hr, 0 min, 7 sec) % 7.46/7.49 % 7.46/7.49 Process 31116 finished Wed Jul 27 10:06:26 2022 % 7.46/7.49 Otter interrupted % 7.46/7.49 PROOF NOT FOUND %------------------------------------------------------------------------------