0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.17 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.H64eD2VTIb true 0.18/0.39 % Computer : n011.cluster.edu 0.18/0.39 % Model : x86_64 x86_64 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.39 % Memory : 8042.1875MB 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64 0.18/0.39 % CPULimit : 960 0.18/0.39 % WCLimit : 120 0.18/0.39 % DateTime : Tue Aug 9 04:17:51 EDT 2022 0.18/0.39 % CPUTime : 0.18/0.39 % Running portfolio for 960 s 0.18/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.18/0.39 % Number of cores: 8 0.18/0.39 % Python version: Python 3.6.8 0.18/0.40 % Running in FO mode 0.62/0.70 % Total configuration time : 435 0.62/0.70 % Estimated wc time : 845 0.62/0.70 % Estimated cpu time (7 cpus) : 120.71428571428571 0.63/0.84 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 58s 0.63/0.84 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 58s 0.63/0.84 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 49s 0.63/0.84 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 58s 0.63/0.84 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 39s 0.63/0.84 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 39s 0.63/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 39s 78.41/11.89 % Solved by fo/fo6_bce.sh. 78.41/11.89 % BCE start: 853 78.41/11.89 % BCE eliminated: 2 78.41/11.89 % PE start: 851 78.41/11.89 logic: eq 78.41/11.89 % PE eliminated: -67 78.41/11.89 % done 2879 iterations in 11.024s 78.41/11.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 78.41/11.89 % SZS output start Refutation 78.41/11.89 thf(power_power_type, type, power_power: $i > $i > $i > $i). 78.41/11.89 thf(sk__type, type, sk_: $i). 78.41/11.89 thf(number_ring_type, type, number_ring: $i > $o). 78.41/11.89 thf(bit0_type, type, bit0: $i > $i). 78.41/11.89 thf(semiring_1_type, type, semiring_1: $i > $o). 78.41/11.89 thf(sk__1_type, type, sk__1: $i). 78.41/11.89 thf(t_type, type, t: $i). 78.41/11.89 thf(one_one_type, type, one_one: $i > $i). 78.41/11.89 thf(pls_type, type, pls: $i). 78.41/11.89 thf(comm_semiring_1_type, type, comm_semiring_1: $i > $o). 78.41/11.89 thf(int_type, type, int: $i). 78.41/11.89 thf(sk__10_type, type, sk__10: $i). 78.41/11.89 thf(ti_type, type, ti: $i > $i > $i). 78.41/11.89 thf(number_number_of_type, type, number_number_of: $i > $i > $i). 78.41/11.89 thf(times_times_type, type, times_times: $i > $i > $i > $i). 78.41/11.89 thf(m_type, type, m: $i). 78.41/11.89 thf(ord_less_type, type, ord_less: $i > $i > $i > $o). 78.41/11.89 thf(order_type, type, order: $i > $o). 78.41/11.89 thf(ord_less_eq_type, type, ord_less_eq: $i > $i > $i > $o). 78.41/11.89 thf(monoid_mult_type, type, monoid_mult: $i > $o). 78.41/11.89 thf(nat_type, type, nat: $i). 78.41/11.89 thf(bit1_type, type, bit1: $i > $i). 78.41/11.89 thf(plus_plus_type, type, plus_plus: $i > $i > $i > $i). 78.41/11.89 thf(sk__11_type, type, sk__11: $i). 78.41/11.89 thf(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06, axiom, 78.41/11.89 (( ( t ) = ( one_one @ int ) ) => 78.41/11.89 ( ?[X:$i,Y:$i]: 78.41/11.89 ( ( plus_plus @ 78.41/11.89 int @ 78.41/11.89 ( power_power @ 78.41/11.89 int @ X @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 78.41/11.89 ( power_power @ 78.41/11.89 int @ Y @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) = 78.41/11.89 ( plus_plus @ 78.41/11.89 int @ 78.41/11.89 ( times_times @ 78.41/11.89 int @ 78.41/11.89 ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 78.41/11.89 m ) @ 78.41/11.89 ( one_one @ int ) ) ) ))). 78.41/11.89 thf(zip_derived_cl1, plain, 78.41/11.89 ((((plus_plus @ int @ 78.41/11.89 (power_power @ int @ sk_ @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))) @ 78.41/11.89 (power_power @ int @ sk__1 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls))))) 78.41/11.89 = (plus_plus @ int @ 78.41/11.89 (times_times @ int @ 78.41/11.89 (number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ m) @ 78.41/11.89 (one_one @ int))) 78.41/11.89 | ((t) != (one_one @ int)))), 78.41/11.89 inference('cnf', [status(esa)], 78.41/11.89 [fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])). 78.41/11.89 thf(fact_85_zmult__commute, axiom, 78.41/11.89 (![Z:$i,W:$i]: 78.41/11.89 ( ( times_times @ int @ Z @ W ) = ( times_times @ int @ W @ Z ) ))). 78.41/11.89 thf(zip_derived_cl141, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 ((times_times @ int @ X1 @ X0) = (times_times @ int @ X0 @ X1))), 78.41/11.89 inference('cnf', [status(esa)], [fact_85_zmult__commute])). 78.41/11.89 thf(zip_derived_cl7508, plain, 78.41/11.89 ((((plus_plus @ int @ 78.41/11.89 (power_power @ int @ sk_ @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))) @ 78.41/11.89 (power_power @ int @ sk__1 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls))))) 78.41/11.89 = (plus_plus @ int @ 78.41/11.89 (times_times @ int @ m @ 78.41/11.89 (number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls))))) @ 78.41/11.89 (one_one @ int))) 78.41/11.89 | ((t) != (one_one @ int)))), 78.41/11.89 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl141])). 78.41/11.89 thf(fact_0_tpos, axiom, (ord_less_eq @ int @ ( one_one @ int ) @ t)). 78.41/11.89 thf(zip_derived_cl595, plain, ( (ord_less_eq @ int @ (one_one @ int) @ t)), 78.41/11.89 inference('cnf', [status(esa)], [fact_0_tpos])). 78.41/11.89 thf(arity_Int_Oint___Rings_Osemiring__1, axiom, (semiring_1 @ int)). 78.41/11.89 thf(zip_derived_cl272, plain, ( (semiring_1 @ int)), 78.41/11.89 inference('cnf', [status(esa)], [arity_Int_Oint___Rings_Osemiring__1])). 78.41/11.89 thf(fact_12_one__power2, axiom, 78.41/11.89 (![X_a:$i]: 78.41/11.89 ( ( semiring_1 @ X_a ) => 78.41/11.89 ( ( one_one @ X_a ) = 78.41/11.89 ( power_power @ 78.41/11.89 X_a @ ( one_one @ X_a ) @ 78.41/11.89 ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ))). 78.41/11.89 thf(zip_derived_cl480, plain, 78.41/11.89 (![X0 : $i]: 78.41/11.89 (((one_one @ X0) 78.41/11.89 = (power_power @ X0 @ (one_one @ X0) @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls))))) 78.41/11.89 | ~ (semiring_1 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_12_one__power2])). 78.41/11.89 thf(zip_derived_cl3639, plain, 78.41/11.89 (((one_one @ int) 78.41/11.89 = (power_power @ int @ (one_one @ int) @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))))), 78.41/11.89 inference('dp-resolution', [status(thm)], 78.41/11.89 [zip_derived_cl272, zip_derived_cl480])). 78.41/11.89 thf(fact_14_power2__eq__square, axiom, 78.41/11.89 (![X_a:$i]: 78.41/11.89 ( ( monoid_mult @ X_a ) => 78.41/11.89 ( ![A_1:$i]: 78.41/11.89 ( ( power_power @ 78.41/11.89 X_a @ A_1 @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) = 78.41/11.89 ( times_times @ X_a @ A_1 @ A_1 ) ) ) ))). 78.41/11.89 thf(zip_derived_cl147, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 (((power_power @ X0 @ X1 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))) 78.41/11.89 = (times_times @ X0 @ X1 @ X1)) 78.41/11.89 | ~ (monoid_mult @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_14_power2__eq__square])). 78.41/11.89 thf(zip_derived_cl8319, plain, 78.41/11.89 ((((one_one @ int) 78.41/11.89 = (times_times @ int @ (one_one @ int) @ (one_one @ int))) 78.41/11.89 | ~ (monoid_mult @ int))), 78.41/11.89 inference('s_sup+', [status(thm)], 78.41/11.89 [zip_derived_cl3639, zip_derived_cl147])). 78.41/11.89 thf(arity_Int_Oint___Groups_Omonoid__mult, axiom, (monoid_mult @ int)). 78.41/11.89 thf(zip_derived_cl602, plain, ( (monoid_mult @ int)), 78.41/11.89 inference('cnf', [status(esa)], [arity_Int_Oint___Groups_Omonoid__mult])). 78.41/11.89 thf(zip_derived_cl8323, plain, 78.41/11.89 (((one_one @ int) 78.41/11.89 = (times_times @ int @ (one_one @ int) @ (one_one @ int)))), 78.41/11.89 inference('demod', [status(thm)], [zip_derived_cl8319, zip_derived_cl602])). 78.41/11.89 thf(fact_128_zmult__1, axiom, 78.41/11.89 (![Z:$i]: 78.41/11.89 ( ( times_times @ int @ ( one_one @ int ) @ Z ) = ( ti @ int @ Z ) ))). 78.41/11.89 thf(zip_derived_cl104, plain, 78.41/11.89 (![X0 : $i]: 78.41/11.89 ((times_times @ int @ (one_one @ int) @ X0) = (ti @ int @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_128_zmult__1])). 78.41/11.89 thf(fact_123_add__Pls__right, axiom, 78.41/11.89 (![K:$i]: ( ( plus_plus @ int @ K @ pls ) = ( ti @ int @ K ) ))). 78.41/11.89 thf(zip_derived_cl39, plain, 78.41/11.89 (![X0 : $i]: ((plus_plus @ int @ X0 @ pls) = (ti @ int @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_123_add__Pls__right])). 78.41/11.89 thf(zip_derived_cl6553, plain, 78.41/11.89 (![X0 : $i]: 78.41/11.89 ((times_times @ int @ (one_one @ int) @ X0) 78.41/11.89 = (plus_plus @ int @ X0 @ pls))), 78.41/11.89 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl39])). 78.41/11.89 thf(zip_derived_cl8473, plain, 78.41/11.89 (((one_one @ int) = (plus_plus @ int @ (one_one @ int) @ pls))), 78.41/11.89 inference('s_sup+', [status(thm)], 78.41/11.89 [zip_derived_cl8323, zip_derived_cl6553])). 78.41/11.89 thf(zip_derived_cl8473, plain, 78.41/11.89 (((one_one @ int) = (plus_plus @ int @ (one_one @ int) @ pls))), 78.41/11.89 inference('s_sup+', [status(thm)], 78.41/11.89 [zip_derived_cl8323, zip_derived_cl6553])). 78.41/11.89 thf(fact_151_Bit1__def, axiom, 78.41/11.89 (![K:$i]: 78.41/11.89 ( ( bit1 @ K ) = 78.41/11.89 ( plus_plus @ int @ ( plus_plus @ int @ ( one_one @ int ) @ K ) @ K ) ))). 78.41/11.89 thf(zip_derived_cl174, plain, 78.41/11.89 (![X0 : $i]: 78.41/11.89 ((bit1 @ X0) 78.41/11.89 = (plus_plus @ int @ (plus_plus @ int @ (one_one @ int) @ X0) @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_151_Bit1__def])). 78.41/11.89 thf(zip_derived_cl9194, plain, 78.41/11.89 (((bit1 @ pls) = (plus_plus @ int @ (one_one @ int) @ pls))), 78.41/11.89 inference('s_sup+', [status(thm)], 78.41/11.89 [zip_derived_cl8473, zip_derived_cl174])). 78.41/11.89 thf(zip_derived_cl9312, plain, (((one_one @ int) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl8473, zip_derived_cl9194])). 78.41/11.89 thf(zip_derived_cl9345, plain, ( (ord_less_eq @ int @ (bit1 @ pls) @ t)), 78.41/11.89 inference('demod', [status(thm)], [zip_derived_cl595, zip_derived_cl9312])). 78.41/11.89 thf(fact_327_order__le__neq__implies__less, axiom, 78.41/11.89 (![X_a:$i]: 78.41/11.89 ( ( order @ X_a ) => 78.41/11.89 ( ![X_1:$i,Y_1:$i]: 78.41/11.89 ( ( ord_less_eq @ X_a @ X_1 @ Y_1 ) => 78.41/11.89 ( ( ( ti @ X_a @ Y_1 ) != ( ti @ X_a @ X_1 ) ) => 78.41/11.89 ( ord_less @ X_a @ X_1 @ Y_1 ) ) ) ) ))). 78.41/11.89 thf(zip_derived_cl378, plain, 78.41/11.89 (![X0 : $i, X1 : $i, X2 : $i]: 78.41/11.89 (~ (ord_less_eq @ X0 @ X1 @ X2) 78.41/11.89 | (ord_less @ X0 @ X1 @ X2) 78.41/11.89 | ((ti @ X0 @ X2) = (ti @ X0 @ X1)) 78.41/11.89 | ~ (order @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_327_order__le__neq__implies__less])). 78.41/11.89 thf(zip_derived_cl63760, plain, 78.41/11.89 (( (ord_less @ int @ (bit1 @ pls) @ t) 78.41/11.89 | ((ti @ int @ t) = (ti @ int @ (bit1 @ pls))) 78.41/11.89 | ~ (order @ int))), 78.41/11.89 inference('s_sup-', [status(thm)], 78.41/11.89 [zip_derived_cl9345, zip_derived_cl378])). 78.41/11.89 thf(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06, axiom, 78.41/11.89 (( ord_less @ int @ ( one_one @ int ) @ t ) => 78.41/11.89 ( ?[X:$i,Y:$i]: 78.41/11.89 ( ( plus_plus @ 78.41/11.89 int @ 78.41/11.89 ( times_times @ 78.41/11.89 int @ 78.41/11.89 ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 78.41/11.89 m ) @ 78.41/11.89 ( one_one @ int ) ) = 78.41/11.89 ( plus_plus @ 78.41/11.89 int @ 78.41/11.89 ( power_power @ 78.41/11.89 int @ X @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 78.41/11.89 ( power_power @ 78.41/11.89 int @ Y @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ))). 78.41/11.89 thf(zip_derived_cl744, plain, 78.41/11.89 ((((plus_plus @ int @ 78.41/11.89 (times_times @ int @ 78.41/11.89 (number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ m) @ 78.41/11.89 (one_one @ int)) 78.41/11.89 = (plus_plus @ int @ 78.41/11.89 (power_power @ int @ sk__10 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))) @ 78.41/11.89 (power_power @ int @ sk__11 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))))) 78.41/11.89 | ~ (ord_less @ int @ (one_one @ int) @ t))), 78.41/11.89 inference('cnf', [status(esa)], 78.41/11.89 [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])). 78.41/11.89 thf(zip_derived_cl141, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 ((times_times @ int @ X1 @ X0) = (times_times @ int @ X0 @ X1))), 78.41/11.89 inference('cnf', [status(esa)], [fact_85_zmult__commute])). 78.41/11.89 thf(zip_derived_cl9312, plain, (((one_one @ int) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl8473, zip_derived_cl9194])). 78.41/11.89 thf(fact_89_zadd__commute, axiom, 78.41/11.89 (![Z:$i,W:$i]: 78.41/11.89 ( ( plus_plus @ int @ Z @ W ) = ( plus_plus @ int @ W @ Z ) ))). 78.41/11.89 thf(zip_derived_cl426, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 ((plus_plus @ int @ X1 @ X0) = (plus_plus @ int @ X0 @ X1))), 78.41/11.89 inference('cnf', [status(esa)], [fact_89_zadd__commute])). 78.41/11.89 thf(zip_derived_cl9312, plain, (((one_one @ int) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl8473, zip_derived_cl9194])). 78.41/11.89 thf(zip_derived_cl40361, plain, 78.41/11.89 ((((plus_plus @ int @ (bit1 @ pls) @ 78.41/11.89 (times_times @ int @ m @ 78.41/11.89 (number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls)))))) 78.41/11.89 = (plus_plus @ int @ 78.41/11.89 (power_power @ int @ sk__10 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))) @ 78.41/11.89 (power_power @ int @ sk__11 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))))) 78.41/11.89 | ~ (ord_less @ int @ (bit1 @ pls) @ t))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl744, zip_derived_cl141, zip_derived_cl9312, 78.41/11.89 zip_derived_cl426, zip_derived_cl9312])). 78.41/11.89 thf(conj_0, conjecture, 78.41/11.89 (?[X:$i,Y:$i]: 78.41/11.89 ( ( plus_plus @ 78.41/11.89 int @ 78.41/11.89 ( power_power @ 78.41/11.89 int @ X @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 78.41/11.89 ( power_power @ 78.41/11.89 int @ Y @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) = 78.41/11.89 ( plus_plus @ 78.41/11.89 int @ 78.41/11.89 ( times_times @ 78.41/11.89 int @ 78.41/11.89 ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 78.41/11.89 m ) @ 78.41/11.89 ( one_one @ int ) ) ))). 78.41/11.89 thf(zf_stmt_0, negated_conjecture, 78.41/11.89 (~( ?[X:$i,Y:$i]: 78.41/11.89 ( ( plus_plus @ 78.41/11.89 int @ 78.41/11.89 ( power_power @ 78.41/11.89 int @ X @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 78.41/11.89 ( power_power @ 78.41/11.89 int @ Y @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) = 78.41/11.89 ( plus_plus @ 78.41/11.89 int @ 78.41/11.89 ( times_times @ 78.41/11.89 int @ 78.41/11.89 ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 78.41/11.89 m ) @ 78.41/11.89 ( one_one @ int ) ) ) )), 78.41/11.89 inference('cnf.neg', [status(esa)], [conj_0])). 78.41/11.89 thf(zip_derived_cl566, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 ((plus_plus @ int @ 78.41/11.89 (power_power @ int @ X0 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))) @ 78.41/11.89 (power_power @ int @ X1 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls))))) 78.41/11.89 != (plus_plus @ int @ 78.41/11.89 (times_times @ int @ 78.41/11.89 (number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ m) @ 78.41/11.89 (one_one @ int)))), 78.41/11.89 inference('cnf', [status(esa)], [zf_stmt_0])). 78.41/11.89 thf(zip_derived_cl141, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 ((times_times @ int @ X1 @ X0) = (times_times @ int @ X0 @ X1))), 78.41/11.89 inference('cnf', [status(esa)], [fact_85_zmult__commute])). 78.41/11.89 thf(zip_derived_cl9312, plain, (((one_one @ int) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl8473, zip_derived_cl9194])). 78.41/11.89 thf(zip_derived_cl426, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 ((plus_plus @ int @ X1 @ X0) = (plus_plus @ int @ X0 @ X1))), 78.41/11.89 inference('cnf', [status(esa)], [fact_89_zadd__commute])). 78.41/11.89 thf(zip_derived_cl26455, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 ((plus_plus @ int @ 78.41/11.89 (power_power @ int @ X0 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))) @ 78.41/11.89 (power_power @ int @ X1 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls))))) 78.41/11.89 != (plus_plus @ int @ (bit1 @ pls) @ 78.41/11.89 (times_times @ int @ m @ 78.41/11.89 (number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls)))))))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl566, zip_derived_cl141, zip_derived_cl9312, 78.41/11.89 zip_derived_cl426])). 78.41/11.89 thf(zip_derived_cl40362, plain, (~ (ord_less @ int @ (bit1 @ pls) @ t)), 78.41/11.89 inference('simplify_reflect-', [status(thm)], 78.41/11.89 [zip_derived_cl40361, zip_derived_cl26455])). 78.41/11.89 thf(tsy_v_t_____res, axiom, (( ti @ int @ t ) = ( t ))). 78.41/11.89 thf(zip_derived_cl778, plain, (((ti @ int @ t) = (t))), 78.41/11.89 inference('cnf', [status(esa)], [tsy_v_t_____res])). 78.41/11.89 thf(tsy_c_Int_OBit1_res, axiom, 78.41/11.89 (![B_1_1:$i]: ( ( bit1 @ B_1_1 ) = ( ti @ int @ ( bit1 @ B_1_1 ) ) ))). 78.41/11.89 thf(zip_derived_cl357, plain, 78.41/11.89 (![X0 : $i]: ((bit1 @ X0) = (ti @ int @ (bit1 @ X0)))), 78.41/11.89 inference('cnf', [status(esa)], [tsy_c_Int_OBit1_res])). 78.41/11.89 thf(arity_Int_Oint___Orderings_Oorder, axiom, (order @ int)). 78.41/11.89 thf(zip_derived_cl619, plain, ( (order @ int)), 78.41/11.89 inference('cnf', [status(esa)], [arity_Int_Oint___Orderings_Oorder])). 78.41/11.89 thf(zip_derived_cl63768, plain, (((t) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63760, zip_derived_cl40362, zip_derived_cl778, 78.41/11.89 zip_derived_cl357, zip_derived_cl619])). 78.41/11.89 thf(fact_126_Bit0__def, axiom, 78.41/11.89 (![K:$i]: ( ( bit0 @ K ) = ( plus_plus @ int @ K @ K ) ))). 78.41/11.89 thf(zip_derived_cl114, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ X0) = (plus_plus @ int @ X0 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_126_Bit0__def])). 78.41/11.89 thf(zip_derived_cl63768, plain, (((t) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63760, zip_derived_cl40362, zip_derived_cl778, 78.41/11.89 zip_derived_cl357, zip_derived_cl619])). 78.41/11.89 thf(zip_derived_cl114, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ X0) = (plus_plus @ int @ X0 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_126_Bit0__def])). 78.41/11.89 thf(zip_derived_cl63768, plain, (((t) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63760, zip_derived_cl40362, zip_derived_cl778, 78.41/11.89 zip_derived_cl357, zip_derived_cl619])). 78.41/11.89 thf(zip_derived_cl114, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ X0) = (plus_plus @ int @ X0 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_126_Bit0__def])). 78.41/11.89 thf(fact_158_one__is__num__one, axiom, 78.41/11.89 (( one_one @ int ) = ( number_number_of @ int @ ( bit1 @ pls ) ))). 78.41/11.89 thf(zip_derived_cl407, plain, 78.41/11.89 (((one_one @ int) = (number_number_of @ int @ (bit1 @ pls)))), 78.41/11.89 inference('cnf', [status(esa)], [fact_158_one__is__num__one])). 78.41/11.89 thf(zip_derived_cl9312, plain, (((one_one @ int) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl8473, zip_derived_cl9194])). 78.41/11.89 thf(zip_derived_cl9344, plain, 78.41/11.89 (((bit1 @ pls) = (number_number_of @ int @ (bit1 @ pls)))), 78.41/11.89 inference('demod', [status(thm)], [zip_derived_cl407, zip_derived_cl9312])). 78.41/11.89 thf(fact_83_rel__simps_I48_J, axiom, 78.41/11.89 (![K_1:$i,L_1:$i]: 78.41/11.89 ( ( ( bit0 @ K_1 ) = ( bit0 @ L_1 ) ) <=> 78.41/11.89 ( ( ti @ int @ K_1 ) = ( ti @ int @ L_1 ) ) ))). 78.41/11.89 thf(zip_derived_cl551, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 (((bit0 @ X1) = (bit0 @ X0)) | ((ti @ int @ X1) != (ti @ int @ X0)))), 78.41/11.89 inference('cnf', [status(esa)], [fact_83_rel__simps_I48_J])). 78.41/11.89 thf(fact_86_number__of__is__id, axiom, 78.41/11.89 (![K:$i]: ( ( ti @ int @ K ) = ( number_number_of @ int @ K ) ))). 78.41/11.89 thf(zip_derived_cl242, plain, 78.41/11.89 (![X0 : $i]: ((ti @ int @ X0) = (number_number_of @ int @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_86_number__of__is__id])). 78.41/11.89 thf(zip_derived_cl242, plain, 78.41/11.89 (![X0 : $i]: ((ti @ int @ X0) = (number_number_of @ int @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_86_number__of__is__id])). 78.41/11.89 thf(zip_derived_cl15251, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 (((bit0 @ X1) = (bit0 @ X0)) 78.41/11.89 | ((number_number_of @ int @ X1) != (number_number_of @ int @ X0)))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl551, zip_derived_cl242, zip_derived_cl242])). 78.41/11.89 thf(zip_derived_cl15259, plain, 78.41/11.89 (![X0 : $i]: 78.41/11.89 (((bit0 @ (bit1 @ pls)) = (bit0 @ X0)) 78.41/11.89 | ((bit1 @ pls) != (number_number_of @ int @ X0)))), 78.41/11.89 inference('s_sup-', [status(thm)], 78.41/11.89 [zip_derived_cl9344, zip_derived_cl15251])). 78.41/11.89 thf(zip_derived_cl407, plain, 78.41/11.89 (((one_one @ int) = (number_number_of @ int @ (bit1 @ pls)))), 78.41/11.89 inference('cnf', [status(esa)], [fact_158_one__is__num__one])). 78.41/11.89 thf(fact_16_add__special_I2_J, axiom, 78.41/11.89 (![X_a:$i]: 78.41/11.89 ( ( number_ring @ X_a ) => 78.41/11.89 ( ![W:$i]: 78.41/11.89 ( ( number_number_of @ X_a @ ( plus_plus @ int @ ( bit1 @ pls ) @ W ) ) = 78.41/11.89 ( plus_plus @ 78.41/11.89 X_a @ ( one_one @ X_a ) @ ( number_number_of @ X_a @ W ) ) ) ) ))). 78.41/11.89 thf(zip_derived_cl30, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 (((number_number_of @ X0 @ (plus_plus @ int @ (bit1 @ pls) @ X1)) 78.41/11.89 = (plus_plus @ X0 @ (one_one @ X0) @ (number_number_of @ X0 @ X1))) 78.41/11.89 | ~ (number_ring @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_16_add__special_I2_J])). 78.41/11.89 thf(zip_derived_cl4919, plain, 78.41/11.89 ((((number_number_of @ int @ 78.41/11.89 (plus_plus @ int @ (bit1 @ pls) @ (bit1 @ pls))) 78.41/11.89 = (plus_plus @ int @ (one_one @ int) @ (one_one @ int))) 78.41/11.89 | ~ (number_ring @ int))), 78.41/11.89 inference('s_sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl30])). 78.41/11.89 thf(arity_Int_Oint___Int_Onumber__ring, axiom, (number_ring @ int)). 78.41/11.89 thf(zip_derived_cl148, plain, ( (number_ring @ int)), 78.41/11.89 inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber__ring])). 78.41/11.89 thf(zip_derived_cl4923, plain, 78.41/11.89 (((number_number_of @ int @ 78.41/11.89 (plus_plus @ int @ (bit1 @ pls) @ (bit1 @ pls))) 78.41/11.89 = (plus_plus @ int @ (one_one @ int) @ (one_one @ int)))), 78.41/11.89 inference('demod', [status(thm)], [zip_derived_cl4919, zip_derived_cl148])). 78.41/11.89 thf(zip_derived_cl114, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ X0) = (plus_plus @ int @ X0 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_126_Bit0__def])). 78.41/11.89 thf(zip_derived_cl114, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ X0) = (plus_plus @ int @ X0 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_126_Bit0__def])). 78.41/11.89 thf(zip_derived_cl4999, plain, 78.41/11.89 (((number_number_of @ int @ (bit0 @ (bit1 @ pls))) 78.41/11.89 = (bit0 @ (one_one @ int)))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl4923, zip_derived_cl114, zip_derived_cl114])). 78.41/11.89 thf(zip_derived_cl407, plain, 78.41/11.89 (((one_one @ int) = (number_number_of @ int @ (bit1 @ pls)))), 78.41/11.89 inference('cnf', [status(esa)], [fact_158_one__is__num__one])). 78.41/11.89 thf(tsy_c_Int_OBit0_arg1, axiom, 78.41/11.89 (![B_1_1:$i]: ( ( bit0 @ ( ti @ int @ B_1_1 ) ) = ( bit0 @ B_1_1 ) ))). 78.41/11.89 thf(zip_derived_cl376, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ (ti @ int @ X0)) = (bit0 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [tsy_c_Int_OBit0_arg1])). 78.41/11.89 thf(zip_derived_cl242, plain, 78.41/11.89 (![X0 : $i]: ((ti @ int @ X0) = (number_number_of @ int @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_86_number__of__is__id])). 78.41/11.89 thf(zip_derived_cl8595, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ (number_number_of @ int @ X0)) = (bit0 @ X0))), 78.41/11.89 inference('demod', [status(thm)], [zip_derived_cl376, zip_derived_cl242])). 78.41/11.89 thf(zip_derived_cl8616, plain, 78.41/11.89 (((bit0 @ (one_one @ int)) = (bit0 @ (bit1 @ pls)))), 78.41/11.89 inference('s_sup+', [status(thm)], 78.41/11.89 [zip_derived_cl407, zip_derived_cl8595])). 78.41/11.89 thf(zip_derived_cl8665, plain, 78.41/11.89 (((number_number_of @ int @ (bit0 @ (bit1 @ pls))) 78.41/11.89 = (bit0 @ (bit1 @ pls)))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl4999, zip_derived_cl8616])). 78.41/11.89 thf(fact_160_double__number__of__Bit0, axiom, 78.41/11.89 (![X_a:$i]: 78.41/11.89 ( ( number_ring @ X_a ) => 78.41/11.89 ( ![W:$i]: 78.41/11.89 ( ( number_number_of @ X_a @ ( bit0 @ W ) ) = 78.41/11.89 ( times_times @ 78.41/11.89 X_a @ 78.41/11.89 ( plus_plus @ X_a @ ( one_one @ X_a ) @ ( one_one @ X_a ) ) @ 78.41/11.89 ( number_number_of @ X_a @ W ) ) ) ) ))). 78.41/11.89 thf(zip_derived_cl657, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 (((number_number_of @ X0 @ (bit0 @ X1)) 78.41/11.89 = (times_times @ X0 @ 78.41/11.89 (plus_plus @ X0 @ (one_one @ X0) @ (one_one @ X0)) @ 78.41/11.89 (number_number_of @ X0 @ X1))) 78.41/11.89 | ~ (number_ring @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_160_double__number__of__Bit0])). 78.41/11.89 thf(zip_derived_cl34102, plain, 78.41/11.89 ((((number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls)))) 78.41/11.89 = (times_times @ int @ 78.41/11.89 (plus_plus @ int @ (one_one @ int) @ (one_one @ int)) @ 78.41/11.89 (bit0 @ (bit1 @ pls)))) 78.41/11.89 | ~ (number_ring @ int))), 78.41/11.89 inference('s_sup+', [status(thm)], 78.41/11.89 [zip_derived_cl8665, zip_derived_cl657])). 78.41/11.89 thf(zip_derived_cl9312, plain, (((one_one @ int) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl8473, zip_derived_cl9194])). 78.41/11.89 thf(zip_derived_cl9312, plain, (((one_one @ int) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl8473, zip_derived_cl9194])). 78.41/11.89 thf(zip_derived_cl114, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ X0) = (plus_plus @ int @ X0 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_126_Bit0__def])). 78.41/11.89 thf(fact_122_mult__Bit0, axiom, 78.41/11.89 (![K:$i,L:$i]: 78.41/11.89 ( ( bit0 @ ( times_times @ int @ K @ L ) ) = 78.41/11.89 ( times_times @ int @ ( bit0 @ K ) @ L ) ))). 78.41/11.89 thf(zip_derived_cl586, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 ((bit0 @ (times_times @ int @ X0 @ X1)) 78.41/11.89 = (times_times @ int @ (bit0 @ X0) @ X1))), 78.41/11.89 inference('cnf', [status(esa)], [fact_122_mult__Bit0])). 78.41/11.89 thf(zip_derived_cl148, plain, ( (number_ring @ int)), 78.41/11.89 inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber__ring])). 78.41/11.89 thf(zip_derived_cl34144, plain, 78.41/11.89 (((number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls)))) 78.41/11.89 = (bit0 @ (times_times @ int @ (bit1 @ pls) @ (bit0 @ (bit1 @ pls)))))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl34102, zip_derived_cl9312, zip_derived_cl9312, 78.41/11.89 zip_derived_cl114, zip_derived_cl586, zip_derived_cl148])). 78.41/11.89 thf(zip_derived_cl62644, plain, 78.41/11.89 ((((bit1 @ pls) != (number_number_of @ int @ (bit1 @ pls))) 78.41/11.89 | ((number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls)))) 78.41/11.89 = (bit0 @ 78.41/11.89 (times_times @ int @ (bit1 @ pls) @ (bit0 @ (bit1 @ pls))))))), 78.41/11.89 inference('s_sup+', [status(thm)], 78.41/11.89 [zip_derived_cl15259, zip_derived_cl34144])). 78.41/11.89 thf(zip_derived_cl9344, plain, 78.41/11.89 (((bit1 @ pls) = (number_number_of @ int @ (bit1 @ pls)))), 78.41/11.89 inference('demod', [status(thm)], [zip_derived_cl407, zip_derived_cl9312])). 78.41/11.89 thf(zip_derived_cl63155, plain, 78.41/11.89 ((((bit1 @ pls) != (bit1 @ pls)) 78.41/11.89 | ((number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls)))) 78.41/11.89 = (bit0 @ 78.41/11.89 (times_times @ int @ (bit1 @ pls) @ (bit0 @ (bit1 @ pls))))))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl62644, zip_derived_cl9344])). 78.41/11.89 thf(zip_derived_cl63156, plain, 78.41/11.89 (((number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls)))) 78.41/11.89 = (bit0 @ (times_times @ int @ (bit1 @ pls) @ (bit0 @ (bit1 @ pls)))))), 78.41/11.89 inference('simplify', [status(thm)], [zip_derived_cl63155])). 78.41/11.89 thf(zip_derived_cl63768, plain, (((t) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63760, zip_derived_cl40362, zip_derived_cl778, 78.41/11.89 zip_derived_cl357, zip_derived_cl619])). 78.41/11.89 thf(zip_derived_cl114, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ X0) = (plus_plus @ int @ X0 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_126_Bit0__def])). 78.41/11.89 thf(zip_derived_cl63768, plain, (((t) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63760, zip_derived_cl40362, zip_derived_cl778, 78.41/11.89 zip_derived_cl357, zip_derived_cl619])). 78.41/11.89 thf(zip_derived_cl63768, plain, (((t) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63760, zip_derived_cl40362, zip_derived_cl778, 78.41/11.89 zip_derived_cl357, zip_derived_cl619])). 78.41/11.89 thf(zip_derived_cl114, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ X0) = (plus_plus @ int @ X0 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_126_Bit0__def])). 78.41/11.89 thf(zip_derived_cl67806, plain, 78.41/11.89 (((number_number_of @ int @ (bit0 @ (plus_plus @ int @ t @ t))) 78.41/11.89 = (bit0 @ (times_times @ int @ t @ (plus_plus @ int @ t @ t))))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63156, zip_derived_cl63768, zip_derived_cl114, 78.41/11.89 zip_derived_cl63768, zip_derived_cl63768, zip_derived_cl114])). 78.41/11.89 thf(zip_derived_cl9312, plain, (((one_one @ int) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl8473, zip_derived_cl9194])). 78.41/11.89 thf(zip_derived_cl63768, plain, (((t) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63760, zip_derived_cl40362, zip_derived_cl778, 78.41/11.89 zip_derived_cl357, zip_derived_cl619])). 78.41/11.89 thf(zip_derived_cl63948, plain, (((one_one @ int) = (t))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl9312, zip_derived_cl63768])). 78.41/11.89 thf(zip_derived_cl426, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 ((plus_plus @ int @ X1 @ X0) = (plus_plus @ int @ X0 @ X1))), 78.41/11.89 inference('cnf', [status(esa)], [fact_89_zadd__commute])). 78.41/11.89 thf(zip_derived_cl63948, plain, (((one_one @ int) = (t))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl9312, zip_derived_cl63768])). 78.41/11.89 thf(zip_derived_cl70258, plain, 78.41/11.89 ((((plus_plus @ int @ 78.41/11.89 (power_power @ int @ sk_ @ 78.41/11.89 (number_number_of @ nat @ (plus_plus @ int @ t @ t))) @ 78.41/11.89 (power_power @ int @ sk__1 @ 78.41/11.89 (number_number_of @ nat @ (plus_plus @ int @ t @ t)))) 78.41/11.89 = (plus_plus @ int @ t @ 78.41/11.89 (times_times @ int @ m @ 78.41/11.89 (bit0 @ (times_times @ int @ t @ (plus_plus @ int @ t @ t)))))) 78.41/11.89 | ((t) != (t)))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl7508, zip_derived_cl63768, zip_derived_cl114, 78.41/11.89 zip_derived_cl63768, zip_derived_cl114, zip_derived_cl63768, 78.41/11.89 zip_derived_cl114, zip_derived_cl67806, zip_derived_cl63948, 78.41/11.89 zip_derived_cl426, zip_derived_cl63948])). 78.41/11.89 thf(zip_derived_cl70259, plain, 78.41/11.89 (((plus_plus @ int @ 78.41/11.89 (power_power @ int @ sk_ @ 78.41/11.89 (number_number_of @ nat @ (plus_plus @ int @ t @ t))) @ 78.41/11.89 (power_power @ int @ sk__1 @ 78.41/11.89 (number_number_of @ nat @ (plus_plus @ int @ t @ t)))) 78.41/11.89 = (plus_plus @ int @ t @ 78.41/11.89 (times_times @ int @ m @ 78.41/11.89 (bit0 @ (times_times @ int @ t @ (plus_plus @ int @ t @ t))))))), 78.41/11.89 inference('simplify', [status(thm)], [zip_derived_cl70258])). 78.41/11.89 thf(fact_79_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom, 78.41/11.89 (![X_a:$i]: 78.41/11.89 ( ( comm_semiring_1 @ X_a ) => 78.41/11.89 ( ![A_1:$i,C:$i]: 78.41/11.89 ( ( plus_plus @ X_a @ A_1 @ C ) = ( plus_plus @ X_a @ C @ A_1 ) ) ) ))). 78.41/11.89 thf(zip_derived_cl223, plain, 78.41/11.89 (![X0 : $i, X1 : $i, X2 : $i]: 78.41/11.89 (((plus_plus @ X0 @ X2 @ X1) = (plus_plus @ X0 @ X1 @ X2)) 78.41/11.89 | ~ (comm_semiring_1 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], 78.41/11.89 [fact_79_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])). 78.41/11.89 thf(zip_derived_cl26455, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 ((plus_plus @ int @ 78.41/11.89 (power_power @ int @ X0 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))) @ 78.41/11.89 (power_power @ int @ X1 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls))))) 78.41/11.89 != (plus_plus @ int @ (bit1 @ pls) @ 78.41/11.89 (times_times @ int @ m @ 78.41/11.89 (number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls)))))))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl566, zip_derived_cl141, zip_derived_cl9312, 78.41/11.89 zip_derived_cl426])). 78.41/11.89 thf(zip_derived_cl26459, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 (~ (comm_semiring_1 @ int) 78.41/11.89 | ((plus_plus @ int @ 78.41/11.89 (power_power @ int @ X1 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))) @ 78.41/11.89 (power_power @ int @ X0 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls))))) 78.41/11.89 != (plus_plus @ int @ (bit1 @ pls) @ 78.41/11.89 (times_times @ int @ m @ 78.41/11.89 (number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls))))))))), 78.41/11.89 inference('s_sup-', [status(thm)], 78.41/11.89 [zip_derived_cl223, zip_derived_cl26455])). 78.41/11.89 thf(arity_Int_Oint___Rings_Ocomm__semiring__1, axiom, 78.41/11.89 (comm_semiring_1 @ int)). 78.41/11.89 thf(zip_derived_cl192, plain, ( (comm_semiring_1 @ int)), 78.41/11.89 inference('cnf', [status(esa)], 78.41/11.89 [arity_Int_Oint___Rings_Ocomm__semiring__1])). 78.41/11.89 thf(zip_derived_cl26483, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 ((plus_plus @ int @ 78.41/11.89 (power_power @ int @ X1 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls)))) @ 78.41/11.89 (power_power @ int @ X0 @ 78.41/11.89 (number_number_of @ nat @ (bit0 @ (bit1 @ pls))))) 78.41/11.89 != (plus_plus @ int @ (bit1 @ pls) @ 78.41/11.89 (times_times @ int @ m @ 78.41/11.89 (number_number_of @ int @ (bit0 @ (bit0 @ (bit1 @ pls)))))))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl26459, zip_derived_cl192])). 78.41/11.89 thf(zip_derived_cl63768, plain, (((t) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63760, zip_derived_cl40362, zip_derived_cl778, 78.41/11.89 zip_derived_cl357, zip_derived_cl619])). 78.41/11.89 thf(zip_derived_cl114, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ X0) = (plus_plus @ int @ X0 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_126_Bit0__def])). 78.41/11.89 thf(zip_derived_cl63768, plain, (((t) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63760, zip_derived_cl40362, zip_derived_cl778, 78.41/11.89 zip_derived_cl357, zip_derived_cl619])). 78.41/11.89 thf(zip_derived_cl114, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ X0) = (plus_plus @ int @ X0 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_126_Bit0__def])). 78.41/11.89 thf(zip_derived_cl63768, plain, (((t) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63760, zip_derived_cl40362, zip_derived_cl778, 78.41/11.89 zip_derived_cl357, zip_derived_cl619])). 78.41/11.89 thf(zip_derived_cl63768, plain, (((t) = (bit1 @ pls))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63760, zip_derived_cl40362, zip_derived_cl778, 78.41/11.89 zip_derived_cl357, zip_derived_cl619])). 78.41/11.89 thf(zip_derived_cl114, plain, 78.41/11.89 (![X0 : $i]: ((bit0 @ X0) = (plus_plus @ int @ X0 @ X0))), 78.41/11.89 inference('cnf', [status(esa)], [fact_126_Bit0__def])). 78.41/11.89 thf(zip_derived_cl67806, plain, 78.41/11.89 (((number_number_of @ int @ (bit0 @ (plus_plus @ int @ t @ t))) 78.41/11.89 = (bit0 @ (times_times @ int @ t @ (plus_plus @ int @ t @ t))))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl63156, zip_derived_cl63768, zip_derived_cl114, 78.41/11.89 zip_derived_cl63768, zip_derived_cl63768, zip_derived_cl114])). 78.41/11.89 thf(zip_derived_cl71830, plain, 78.41/11.89 (![X0 : $i, X1 : $i]: 78.41/11.89 ((plus_plus @ int @ 78.41/11.89 (power_power @ int @ X1 @ 78.41/11.89 (number_number_of @ nat @ (plus_plus @ int @ t @ t))) @ 78.41/11.89 (power_power @ int @ X0 @ 78.41/11.89 (number_number_of @ nat @ (plus_plus @ int @ t @ t)))) 78.41/11.89 != (plus_plus @ int @ t @ 78.41/11.89 (times_times @ int @ m @ 78.41/11.89 (bit0 @ (times_times @ int @ t @ (plus_plus @ int @ t @ t))))))), 78.41/11.89 inference('demod', [status(thm)], 78.41/11.89 [zip_derived_cl26483, zip_derived_cl63768, zip_derived_cl114, 78.41/11.89 zip_derived_cl63768, zip_derived_cl114, zip_derived_cl63768, 78.41/11.89 zip_derived_cl63768, zip_derived_cl114, zip_derived_cl67806])). 78.41/11.89 thf(zip_derived_cl71839, plain, 78.41/11.89 (((plus_plus @ int @ t @ 78.41/11.89 (times_times @ int @ m @ 78.41/11.89 (bit0 @ (times_times @ int @ t @ (plus_plus @ int @ t @ t))))) 78.41/11.89 != (plus_plus @ int @ t @ 78.41/11.89 (times_times @ int @ m @ 78.41/11.89 (bit0 @ (times_times @ int @ t @ (plus_plus @ int @ t @ t))))))), 78.41/11.89 inference('s_sup-', [status(thm)], 78.41/11.89 [zip_derived_cl70259, zip_derived_cl71830])). 78.41/11.89 thf(zip_derived_cl71865, plain, ($false), 78.41/11.89 inference('simplify', [status(thm)], [zip_derived_cl71839])). 78.41/11.89 78.41/11.89 % SZS output end Refutation 78.41/11.89 78.41/11.89 78.41/11.89 % Terminating... 78.73/11.96 % Runner terminated. 78.73/11.96 % Zipperpin 1.5 exiting 78.73/11.97 EOF