0.08/0.34 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.15/0.45 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.u3IAhEPrsq 0.28/0.66 % Computer : n021.cluster.edu 0.28/0.66 % Model : x86_64 x86_64 0.28/0.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.28/0.66 % Memory : 8042.1875MB 0.28/0.66 % OS : Linux 3.10.0-693.el7.x86_64 0.28/0.66 % CPULimit : 960 0.28/0.66 % DateTime : Thu Jul 2 08:02:53 EDT 2020 0.28/0.66 % CPUTime : 0.28/0.66 % Running portfolio for 120 s 0.28/0.66 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.28/0.67 % Number of cores: 8 0.28/0.67 % Python version: Python 3.6.8 0.28/0.67 % Running in FO mode 46.94/47.56 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 46.94/47.56 % Warning: 46.94/47.56 % To remain in the chosen logic fragment, unification with booleans has been disabled. 46.94/47.56 % 46.94/47.56 % Running /export/starexec/sandbox2/solver/bin/fo/fo8.sh for 20 46.94/47.56 % Warning: 46.94/47.56 % To remain in the chosen logic fragment, unification with booleans has been disabled. 46.94/47.56 % 46.94/47.56 % Running /export/starexec/sandbox2/solver/bin/fo/fo5.sh for 20 46.94/47.56 % Solved by: fo/fo5.sh 46.94/47.56 To remain in the chosen logic fragment, unification with booleans has been disabled. 46.94/47.56 % done 763 iterations in 1.750s 46.94/47.56 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 46.94/47.56 % SZS output start Refutation 46.94/47.56 tff(fact_570_order__le__neq__implies__less, axiom, 46.94/47.56 (![X_8,Y_7]: 46.94/47.56 ((is_int(X_8) & is_int(Y_7)) => 46.94/47.56 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X_8),Y_7)) => 46.94/47.56 ((X_8 != Y_7) => 46.94/47.56 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_8),Y_7))))))). 46.94/47.56 tff('0', plain, 46.94/47.56 ![X262, X263]: 46.94/47.56 (~ is_int(X262) 46.94/47.56 | ~ is_int(X263) 46.94/47.56 | X262 = X263 46.94/47.56 | hBOOL( 46.94/47.56 hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X262), X263)) 46.94/47.56 | ~ hBOOL( 46.94/47.56 hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, X262), 46.94/47.56 X263))), 46.94/47.56 inference('cnf', [status(esa)], [fact_570_order__le__neq__implies__less])). 46.94/47.56 tff(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06, axiom, 46.94/47.56 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) => 46.94/47.56 (?[X,Y]: 46.94/47.56 (is_int(Y) & 46.94/47.56 (hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int( 46.94/47.56 bit0( 46.94/47.56 bit0( 46.94/47.56 bit1(pls))))), 46.94/47.56 m)), 46.94/47.56 one_one_int) = 46.94/47.56 hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X), 46.94/47.56 number_number_of_nat( 46.94/47.56 bit0(bit1(pls))))), 46.94/47.56 hAPP_nat_int(power_power_int(Y), 46.94/47.56 number_number_of_nat(bit0(bit1(pls)))))) & 46.94/47.56 is_int(X))))). 46.94/47.56 tff('1', plain, 46.94/47.56 (hAPP_int_int( 46.94/47.56 plus_plus_int( 46.94/47.56 hAPP_int_int( 46.94/47.56 times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))), m)), 46.94/47.56 one_one_int) 46.94/47.56 = hAPP_int_int( 46.94/47.56 plus_plus_int( 46.94/47.56 hAPP_nat_int(power_power_int(sk_X_6), 46.94/47.56 number_number_of_nat(bit0(bit1(pls))))), 46.94/47.56 hAPP_nat_int(power_power_int(sk_Y_2), 46.94/47.56 number_number_of_nat(bit0(bit1(pls))))) 46.94/47.56 | ~ hBOOL( 46.94/47.56 hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), 46.94/47.56 t))), 46.94/47.56 inference('cnf', [status(esa)], 46.94/47.56 [fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])). 46.94/47.56 tff(fact_358_Pls__def, axiom, (zero_zero_int = pls)). 46.94/47.56 tff('2', plain, zero_zero_int = pls, 46.94/47.56 inference('cnf', [status(esa)], [fact_358_Pls__def])). 46.94/47.56 tff(fact_260_semiring__numeral__1__eq__1, axiom, 46.94/47.56 (number_number_of_int(bit1(pls)) = one_one_int)). 46.94/47.56 tff('3', plain, number_number_of_int(bit1(pls)) = one_one_int, 46.94/47.56 inference('cnf', [status(esa)], [fact_260_semiring__numeral__1__eq__1])). 46.94/47.56 tff('4', plain, zero_zero_int = pls, 46.94/47.56 inference('cnf', [status(esa)], [fact_358_Pls__def])). 46.94/47.56 tff('5', plain, number_number_of_int(bit1(zero_zero_int)) = one_one_int, 46.94/47.56 inference('demod', [status(thm)], ['3', '4'])). 46.94/47.56 tff(fact_254_number__of__Bit1, axiom, 46.94/47.56 (![W_7]: 46.94/47.56 (number_number_of_int(bit1(W_7)) = 46.94/47.56 hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int), 46.94/47.56 number_number_of_int(W_7))), 46.94/47.56 number_number_of_int(W_7))))). 46.94/47.56 tff('6', plain, 46.94/47.56 ![X1030]: 46.94/47.56 number_number_of_int(bit1(X1030)) 46.94/47.56 = hAPP_int_int( 46.94/47.56 plus_plus_int( 46.94/47.56 hAPP_int_int(plus_plus_int(one_one_int), 46.94/47.56 number_number_of_int(X1030))), number_number_of_int(X1030)), 46.94/47.56 inference('cnf', [status(esa)], [fact_254_number__of__Bit1])). 46.94/47.56 tff(fact_147_zadd__commute, axiom, 46.94/47.56 (![Z,W]: 46.94/47.56 (hAPP_int_int(plus_plus_int(Z),W) = hAPP_int_int(plus_plus_int(W),Z)))). 46.94/47.56 tff('7', plain, 46.94/47.56 ![X1470, X1471]: 46.94/47.56 hAPP_int_int(plus_plus_int(X1471), X1470) 46.94/47.56 = hAPP_int_int(plus_plus_int(X1470), X1471), 46.94/47.56 inference('cnf', [status(esa)], [fact_147_zadd__commute])). 46.94/47.56 tff(fact_253_Bit1__def, axiom, 46.94/47.56 (![K_1]: 46.94/47.56 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)), 46.94/47.56 K_1) = 46.94/47.56 bit1(K_1)))). 46.94/47.56 tff('8', plain, 46.94/47.56 ![X1753]: 46.94/47.56 hAPP_int_int( 46.94/47.56 plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int), X1753)), 46.94/47.56 X1753) 46.94/47.56 = bit1(X1753), 46.94/47.56 inference('cnf', [status(esa)], [fact_253_Bit1__def])). 46.94/47.56 tff('9', plain, 46.94/47.56 ![X1470, X1471]: 46.94/47.56 hAPP_int_int(plus_plus_int(X1471), X1470) 46.94/47.56 = hAPP_int_int(plus_plus_int(X1470), X1471), 46.94/47.56 inference('cnf', [status(esa)], [fact_147_zadd__commute])). 46.94/47.56 tff('10', plain, 46.94/47.56 ![X1753]: 46.94/47.56 hAPP_int_int(plus_plus_int(X1753), 46.94/47.56 hAPP_int_int(plus_plus_int(one_one_int), X1753)) 46.94/47.56 = bit1(X1753), 46.94/47.56 inference('demod', [status(thm)], ['8', '9'])). 46.94/47.56 tff('11', plain, 46.94/47.56 ![X1030]: 46.94/47.56 number_number_of_int(bit1(X1030)) = bit1(number_number_of_int(X1030)), 46.94/47.56 inference('demod', [status(thm)], ['6', '7', '10'])). 46.94/47.56 tff(fact_391_semiring__norm_I112_J, axiom, 46.94/47.56 (zero_zero_int = number_number_of_int(pls))). 46.94/47.56 tff('12', plain, zero_zero_int = number_number_of_int(pls), 46.94/47.56 inference('cnf', [status(esa)], [fact_391_semiring__norm_I112_J])). 46.94/47.56 tff('13', plain, zero_zero_int = pls, 46.94/47.56 inference('cnf', [status(esa)], [fact_358_Pls__def])). 46.94/47.56 tff('14', plain, zero_zero_int = number_number_of_int(zero_zero_int), 46.94/47.56 inference('demod', [status(thm)], ['12', '13'])). 46.94/47.56 tff('15', plain, bit1(zero_zero_int) = one_one_int, 46.94/47.56 inference('demod', [status(thm)], ['5', '11', '14'])). 46.94/47.56 tff(fact_143_zmult__commute, axiom, 46.94/47.56 (![Z,W]: 46.94/47.56 (hAPP_int_int(times_times_int(W),Z) = hAPP_int_int(times_times_int(Z),W)))). 46.94/47.56 tff('16', plain, 46.94/47.56 ![X1457, X1458]: 46.94/47.56 hAPP_int_int(times_times_int(X1458), X1457) 46.94/47.56 = hAPP_int_int(times_times_int(X1457), X1458), 46.94/47.56 inference('cnf', [status(esa)], [fact_143_zmult__commute])). 46.94/47.56 tff('17', plain, 46.94/47.56 ![X1470, X1471]: 46.94/47.56 hAPP_int_int(plus_plus_int(X1471), X1470) 46.94/47.56 = hAPP_int_int(plus_plus_int(X1470), X1471), 46.94/47.56 inference('cnf', [status(esa)], [fact_147_zadd__commute])). 46.94/47.56 tff('18', plain, zero_zero_int = pls, 46.94/47.56 inference('cnf', [status(esa)], [fact_358_Pls__def])). 46.94/47.56 tff('19', plain, bit1(zero_zero_int) = one_one_int, 46.94/47.56 inference('demod', [status(thm)], ['5', '11', '14'])). 46.94/47.56 tff(fact_19_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J, axiom, 46.94/47.56 (![X_26]: 46.94/47.56 (hAPP_nat_int(power_power_int(X_26), 46.94/47.56 number_number_of_nat(bit0(bit1(pls)))) = 46.94/47.56 hAPP_int_int(times_times_int(X_26),X_26)))). 46.94/47.56 tff('20', plain, 46.94/47.56 ![X379]: 46.94/47.56 hAPP_nat_int(power_power_int(X379), 46.94/47.56 number_number_of_nat(bit0(bit1(pls)))) 46.94/47.56 = hAPP_int_int(times_times_int(X379), X379), 46.94/47.56 inference('cnf', [status(esa)], 46.94/47.56 [fact_19_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J])). 46.94/47.56 tff('21', plain, zero_zero_int = pls, 46.94/47.56 inference('cnf', [status(esa)], [fact_358_Pls__def])). 46.94/47.56 tff('22', plain, 46.94/47.56 ![X379]: 46.94/47.56 hAPP_nat_int(power_power_int(X379), 46.94/47.56 number_number_of_nat(bit0(bit1(zero_zero_int)))) 46.94/47.56 = hAPP_int_int(times_times_int(X379), X379), 46.94/47.56 inference('demod', [status(thm)], ['20', '21'])). 46.94/47.56 tff('23', plain, bit1(zero_zero_int) = one_one_int, 46.94/47.56 inference('demod', [status(thm)], ['5', '11', '14'])). 46.94/47.56 tff('24', plain, 46.94/47.56 ![X379]: 46.94/47.56 hAPP_nat_int(power_power_int(X379), 46.94/47.56 number_number_of_nat(bit0(one_one_int))) 46.94/47.56 = hAPP_int_int(times_times_int(X379), X379), 46.94/47.56 inference('demod', [status(thm)], ['22', '23'])). 46.94/47.56 tff('25', plain, zero_zero_int = pls, 46.94/47.56 inference('cnf', [status(esa)], [fact_358_Pls__def])). 46.94/47.56 tff('26', plain, bit1(zero_zero_int) = one_one_int, 46.94/47.56 inference('demod', [status(thm)], ['5', '11', '14'])). 46.94/47.56 tff('27', plain, 46.94/47.56 ![X379]: 46.94/47.56 hAPP_nat_int(power_power_int(X379), 46.94/47.56 number_number_of_nat(bit0(one_one_int))) 46.94/47.56 = hAPP_int_int(times_times_int(X379), X379), 46.94/47.56 inference('demod', [status(thm)], ['22', '23'])). 46.94/47.56 tff('28', plain, 46.94/47.56 (hAPP_int_int(plus_plus_int(one_one_int), 46.94/47.56 hAPP_int_int(times_times_int(m), 46.94/47.56 number_number_of_int(bit0(bit0(one_one_int))))) 46.94/47.56 = hAPP_int_int( 46.94/47.56 plus_plus_int(hAPP_int_int(times_times_int(sk_X_6), sk_X_6)), 46.94/47.56 hAPP_int_int(times_times_int(sk_Y_2), sk_Y_2)) 46.94/47.56 | ~ hBOOL( 46.94/47.56 hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), 46.94/47.56 t))), 46.94/47.56 inference('demod', [status(thm)], 46.94/47.56 ['1', '2', '15', '16', '17', '18', '19', '24', '25', '26', '27'])). 46.94/47.56 tff(conj_0, conjecture, 46.94/47.56 (?[X,Y]: 46.94/47.56 (hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X), 46.94/47.56 number_number_of_nat(bit0( 46.94/47.56 bit1(pls))))), 46.94/47.56 hAPP_nat_int(power_power_int(Y), 46.94/47.56 number_number_of_nat(bit0(bit1(pls))))) = 46.94/47.56 hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int( 46.94/47.56 bit0(bit0( 46.94/47.56 bit1(pls))))), 46.94/47.56 m)), 46.94/47.56 one_one_int)))). 46.94/47.56 tff(zf_stmt_0, negated_conjecture, 46.94/47.56 (~ 46.94/47.56 (?[X,Y]: 46.94/47.56 (hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X), 46.94/47.56 number_number_of_nat( 46.94/47.56 bit0(bit1(pls))))), 46.94/47.56 hAPP_nat_int(power_power_int(Y), 46.94/47.56 number_number_of_nat(bit0(bit1(pls))))) = 46.94/47.56 hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int( 46.94/47.56 bit0( 46.94/47.56 bit0( 46.94/47.56 bit1(pls))))), 46.94/47.56 m)), 46.94/47.56 one_one_int))))). 46.94/47.56 tff('29', plain, 46.94/47.56 ![X2436, X2437]: 46.94/47.56 hAPP_int_int( 46.94/47.56 plus_plus_int( 46.94/47.56 hAPP_nat_int(power_power_int(X2436), 46.94/47.56 number_number_of_nat(bit0(bit1(pls))))), 46.94/47.56 hAPP_nat_int(power_power_int(X2437), 46.94/47.56 number_number_of_nat(bit0(bit1(pls))))) 46.94/47.56 != hAPP_int_int( 46.94/47.56 plus_plus_int( 46.94/47.56 hAPP_int_int( 46.94/47.56 times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))), 46.94/47.56 m)), one_one_int), 46.94/47.56 inference('cnf', [status(esa)], [zf_stmt_0])). 46.94/47.56 tff('30', plain, zero_zero_int = pls, 46.94/47.56 inference('cnf', [status(esa)], [fact_358_Pls__def])). 46.94/47.56 tff('31', plain, zero_zero_int = pls, 46.94/47.56 inference('cnf', [status(esa)], [fact_358_Pls__def])). 46.94/47.56 tff('32', plain, zero_zero_int = pls, 46.94/47.56 inference('cnf', [status(esa)], [fact_358_Pls__def])). 46.94/47.56 tff('33', plain, 46.94/47.56 ![X2436, X2437]: 46.94/47.56 hAPP_int_int( 46.94/47.56 plus_plus_int( 46.94/47.56 hAPP_nat_int(power_power_int(X2436), 46.94/47.56 number_number_of_nat(bit0(bit1(zero_zero_int))))), 46.94/47.56 hAPP_nat_int(power_power_int(X2437), 46.94/47.56 number_number_of_nat(bit0(bit1(zero_zero_int))))) 46.94/47.56 != hAPP_int_int( 46.94/47.56 plus_plus_int( 46.94/47.56 hAPP_int_int( 46.94/47.56 times_times_int( 46.94/47.56 number_number_of_int(bit0(bit0(bit1(zero_zero_int))))), m)), 46.94/47.56 one_one_int), 46.94/47.56 inference('demod', [status(thm)], ['29', '30', '31', '32'])). 46.94/47.56 tff('34', plain, 46.94/47.56 ![X1457, X1458]: 46.94/47.56 hAPP_int_int(times_times_int(X1458), X1457) 46.94/47.56 = hAPP_int_int(times_times_int(X1457), X1458), 46.94/47.56 inference('cnf', [status(esa)], [fact_143_zmult__commute])). 46.94/47.56 tff('35', plain, 46.94/47.56 ![X2436, X2437]: 46.94/47.56 hAPP_int_int( 46.94/47.56 plus_plus_int( 46.94/47.56 hAPP_nat_int(power_power_int(X2436), 46.94/47.56 number_number_of_nat(bit0(bit1(zero_zero_int))))), 46.94/47.56 hAPP_nat_int(power_power_int(X2437), 46.94/47.56 number_number_of_nat(bit0(bit1(zero_zero_int))))) 46.94/47.56 != hAPP_int_int( 46.94/47.56 plus_plus_int( 46.94/47.56 hAPP_int_int(times_times_int(m), 46.94/47.56 number_number_of_int(bit0(bit0(bit1(zero_zero_int)))))), 46.94/47.56 one_one_int), 46.94/47.56 inference('demod', [status(thm)], ['33', '34'])). 46.94/47.56 tff('36', plain, bit1(zero_zero_int) = one_one_int, 46.94/47.56 inference('demod', [status(thm)], ['5', '11', '14'])). 46.94/47.56 tff('37', plain, 46.94/47.56 ![X379]: 46.94/47.56 hAPP_nat_int(power_power_int(X379), 46.94/47.56 number_number_of_nat(bit0(one_one_int))) 46.94/47.56 = hAPP_int_int(times_times_int(X379), X379), 46.94/47.56 inference('demod', [status(thm)], ['22', '23'])). 46.94/47.56 tff('38', plain, bit1(zero_zero_int) = one_one_int, 46.94/47.56 inference('demod', [status(thm)], ['5', '11', '14'])). 46.94/47.56 tff('39', plain, 46.94/47.56 ![X379]: 46.94/47.56 hAPP_nat_int(power_power_int(X379), 46.94/47.56 number_number_of_nat(bit0(one_one_int))) 46.94/47.56 = hAPP_int_int(times_times_int(X379), X379), 46.94/47.56 inference('demod', [status(thm)], ['22', '23'])). 46.94/47.56 tff('40', plain, bit1(zero_zero_int) = one_one_int, 46.94/47.56 inference('demod', [status(thm)], ['5', '11', '14'])). 46.94/47.56 tff('41', plain, 46.94/47.56 ![X1470, X1471]: 46.94/47.56 hAPP_int_int(plus_plus_int(X1471), X1470) 46.94/47.56 = hAPP_int_int(plus_plus_int(X1470), X1471), 46.94/47.56 inference('cnf', [status(esa)], [fact_147_zadd__commute])). 46.94/47.56 tff('42', plain, 46.94/47.56 ![X2436, X2437]: 46.94/47.56 hAPP_int_int( 46.94/47.56 plus_plus_int(hAPP_int_int(times_times_int(X2436), X2436)), 46.94/47.56 hAPP_int_int(times_times_int(X2437), X2437)) 46.94/47.56 != hAPP_int_int(plus_plus_int(one_one_int), 46.94/47.56 hAPP_int_int(times_times_int(m), 46.94/47.56 number_number_of_int(bit0(bit0(one_one_int))))), 46.94/47.56 inference('demod', [status(thm)], 46.94/47.56 ['35', '36', '37', '38', '39', '40', '41'])). 46.94/47.56 tff('43', plain, 46.94/47.56 ~ hBOOL( 46.94/47.56 hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t)), 46.94/47.56 inference('simplify_reflect-', [status(thm)], ['28', '42'])). 46.94/47.56 tff('44', plain, 46.94/47.56 (~ hBOOL( 46.94/47.56 hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int), 46.94/47.56 t)) 46.94/47.56 | one_one_int = t 46.94/47.56 | ~ is_int(t) 46.94/47.56 | ~ is_int(one_one_int)), 46.94/47.56 inference('s_sup-', [status(thm)], ['0', '43'])). 46.94/47.56 tff(fact_0_tpos, axiom, 46.94/47.56 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)))). 46.94/47.56 tff('45', plain, 46.94/47.56 hBOOL( 46.94/47.56 hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int), t)), 46.94/47.56 inference('cnf', [status(esa)], [fact_0_tpos])). 46.94/47.56 tff(gsy_v_t____, axiom, (is_int(t))). 46.94/47.56 tff('46', plain, is_int(t), inference('cnf', [status(esa)], [gsy_v_t____])). 46.94/47.56 tff(gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint, axiom, 46.94/47.56 (is_int(one_one_int))). 46.94/47.56 tff('47', plain, is_int(one_one_int), 46.94/47.56 inference('cnf', [status(esa)], 46.94/47.56 [gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint])). 46.94/47.56 tff('48', plain, one_one_int = t, 46.94/47.56 inference('demod', [status(thm)], ['44', '45', '46', '47'])). 46.94/47.56 tff(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06, axiom, 46.94/47.56 ((t = one_one_int) => 46.94/47.56 (?[X,Y]: 46.94/47.56 (is_int(X) & is_int(Y) & 46.94/47.56 (hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X), 46.94/47.56 number_number_of_nat( 46.94/47.56 bit0(bit1(pls))))), 46.94/47.56 hAPP_nat_int(power_power_int(Y), 46.94/47.56 number_number_of_nat(bit0(bit1(pls))))) = 46.94/47.56 hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int( 46.94/47.56 bit0( 46.94/47.56 bit0( 46.94/47.56 bit1(pls))))), 46.94/47.56 m)), 46.94/47.56 one_one_int)))))). 46.94/47.56 tff('49', plain, 46.94/47.56 (hAPP_int_int( 46.94/47.56 plus_plus_int( 46.94/47.56 hAPP_nat_int(power_power_int(sk_X_3), 46.94/47.56 number_number_of_nat(bit0(bit1(pls))))), 46.94/47.56 hAPP_nat_int(power_power_int(sk_Y), 46.94/47.56 number_number_of_nat(bit0(bit1(pls))))) 46.94/47.56 = hAPP_int_int( 46.94/47.56 plus_plus_int( 46.94/47.56 hAPP_int_int( 47.01/47.56 times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))), 47.01/47.56 m)), one_one_int) 47.01/47.56 | t != one_one_int), 47.01/47.56 inference('cnf', [status(esa)], 47.01/47.56 [fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])). 47.01/47.56 tff('50', plain, zero_zero_int = pls, 47.01/47.56 inference('cnf', [status(esa)], [fact_358_Pls__def])). 47.01/47.56 tff('51', plain, bit1(zero_zero_int) = one_one_int, 47.01/47.56 inference('demod', [status(thm)], ['5', '11', '14'])). 47.01/47.56 tff('52', plain, 47.01/47.56 ![X379]: 47.01/47.56 hAPP_nat_int(power_power_int(X379), 47.01/47.56 number_number_of_nat(bit0(one_one_int))) 47.01/47.56 = hAPP_int_int(times_times_int(X379), X379), 47.01/47.56 inference('demod', [status(thm)], ['22', '23'])). 47.01/47.56 tff('53', plain, zero_zero_int = pls, 47.01/47.56 inference('cnf', [status(esa)], [fact_358_Pls__def])). 47.01/47.56 tff('54', plain, bit1(zero_zero_int) = one_one_int, 47.01/47.56 inference('demod', [status(thm)], ['5', '11', '14'])). 47.01/47.56 tff('55', plain, 47.01/47.56 ![X379]: 47.01/47.56 hAPP_nat_int(power_power_int(X379), 47.01/47.56 number_number_of_nat(bit0(one_one_int))) 47.01/47.56 = hAPP_int_int(times_times_int(X379), X379), 47.01/47.56 inference('demod', [status(thm)], ['22', '23'])). 47.01/47.56 tff('56', plain, zero_zero_int = pls, 47.01/47.56 inference('cnf', [status(esa)], [fact_358_Pls__def])). 47.01/47.56 tff('57', plain, bit1(zero_zero_int) = one_one_int, 47.01/47.56 inference('demod', [status(thm)], ['5', '11', '14'])). 47.01/47.56 tff('58', plain, 47.01/47.56 ![X1457, X1458]: 47.01/47.56 hAPP_int_int(times_times_int(X1458), X1457) 47.01/47.56 = hAPP_int_int(times_times_int(X1457), X1458), 47.01/47.56 inference('cnf', [status(esa)], [fact_143_zmult__commute])). 47.01/47.56 tff('59', plain, 47.01/47.56 ![X1470, X1471]: 47.01/47.56 hAPP_int_int(plus_plus_int(X1471), X1470) 47.01/47.56 = hAPP_int_int(plus_plus_int(X1470), X1471), 47.01/47.56 inference('cnf', [status(esa)], [fact_147_zadd__commute])). 47.01/47.56 tff('60', plain, 47.01/47.56 (hAPP_int_int( 47.01/47.56 plus_plus_int(hAPP_int_int(times_times_int(sk_X_3), sk_X_3)), 47.01/47.56 hAPP_int_int(times_times_int(sk_Y), sk_Y)) 47.01/47.56 = hAPP_int_int(plus_plus_int(one_one_int), 47.01/47.56 hAPP_int_int(times_times_int(m), 47.01/47.56 number_number_of_int(bit0(bit0(one_one_int))))) 47.01/47.56 | t != one_one_int), 47.01/47.56 inference('demod', [status(thm)], 47.01/47.56 ['49', '50', '51', '52', '53', '54', '55', '56', '57', '58', 47.01/47.56 '59'])). 47.01/47.56 tff('61', plain, 47.01/47.56 ![X2436, X2437]: 47.01/47.56 hAPP_int_int( 47.01/47.56 plus_plus_int(hAPP_int_int(times_times_int(X2436), X2436)), 47.01/47.56 hAPP_int_int(times_times_int(X2437), X2437)) 47.01/47.56 != hAPP_int_int(plus_plus_int(one_one_int), 47.01/47.56 hAPP_int_int(times_times_int(m), 47.01/47.56 number_number_of_int(bit0(bit0(one_one_int))))), 47.01/47.56 inference('demod', [status(thm)], 47.01/47.56 ['35', '36', '37', '38', '39', '40', '41'])). 47.01/47.56 tff('62', plain, t != one_one_int, 47.01/47.56 inference('simplify_reflect-', [status(thm)], ['60', '61'])). 47.01/47.56 tff('63', plain, $false, 47.01/47.56 inference('simplify_reflect-', [status(thm)], ['48', '62'])). 47.01/47.56 47.01/47.56 % SZS output end Refutation 47.01/47.56 47.01/47.57 % Zipperpin 1.5 exiting 47.01/47.57 EOF