0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2D77urDVji true 0.11/0.38 % Computer : n002.cluster.edu 0.11/0.38 % Model : x86_64 x86_64 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.38 % Memory : 8046.5625MB 0.11/0.38 % OS : Linux 6.8.0-71-generic 0.11/0.38 % CPULimit : 1440 0.11/0.38 % WCLimit : 180 0.11/0.38 % DateTime : Mon Jul 27 11:02:43 UTC 2026 0.11/0.38 % CPUTime : 0.11/0.38 % Running portfolio for 1440 s 0.11/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.39 % Number of cores: 8 0.11/0.39 % Python version: Python 3.12.3 0.11/0.39 % Running in HO mode 0.44/0.67 % Total configuration time : 828 0.44/0.67 % Estimated wc time : 1656 0.44/0.67 % Estimated cpu time (8 cpus) : 207.0 0.48/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.49/0.80 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.49/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.49/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.49/0.81 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.49/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.49/0.85 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.49/0.89 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 0.51/0.90 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 8.79/2.04 % Solved by lams/40_b.comb.sh. 8.79/2.04 % done 241 iterations in 1.181s 8.79/2.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 8.79/2.04 % SZS output start Refutation 8.79/2.04 thf(int_type, type, int: $tType). 8.79/2.04 thf(nat_type, type, nat: $tType). 8.79/2.04 thf(number_number_of_nat_type, type, number_number_of_nat: int > nat). 8.79/2.04 thf(t_type, type, t: int). 8.79/2.04 thf(plus_plus_int_type, type, plus_plus_int: int > int > int). 8.79/2.04 thf('#sk1_type', type, '#sk1': int). 8.79/2.04 thf(pls_type, type, pls: int). 8.79/2.04 thf(ord_less_eq_int_type, type, ord_less_eq_int: int > int > $o). 8.79/2.04 thf(power_power_int_type, type, power_power_int: int > nat > int). 8.79/2.04 thf(one_one_int_type, type, one_one_int: int). 8.79/2.04 thf(times_times_int_type, type, times_times_int: int > int > int). 8.79/2.04 thf(bit0_type, type, bit0: int > int). 8.79/2.04 thf(m_type, type, m: int). 8.79/2.04 thf(plus_plus_nat_type, type, plus_plus_nat: nat > nat > nat). 8.79/2.04 thf(one_one_nat_type, type, one_one_nat: nat). 8.79/2.04 thf(bit1_type, type, bit1: int > int). 8.79/2.04 thf('#sk2_type', type, '#sk2': int). 8.79/2.04 thf(number_number_of_int_type, type, number_number_of_int: int > int). 8.79/2.04 thf(ord_less_int_type, type, ord_less_int: int > int > $o). 8.79/2.04 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 8.79/2.04 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 8.79/2.04 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 8.79/2.04 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 8.79/2.04 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 8.79/2.04 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, 8.79/2.04 (( ( t ) = ( one_one_int ) ) => 8.79/2.04 ( ?[X:int,Y:int]: 8.79/2.04 ( ( plus_plus_int @ 8.79/2.04 ( power_power_int @ 8.79/2.04 X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 8.79/2.04 ( power_power_int @ 8.79/2.04 Y @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) = 8.79/2.04 ( plus_plus_int @ 8.79/2.04 ( times_times_int @ 8.79/2.04 ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 8.79/2.04 m ) @ 8.79/2.04 one_one_int ) ) ))). 8.79/2.04 thf(zip_derived_cl207, plain, 8.79/2.04 ( (((((t) = (one_one_int))) => 8.79/2.04 (((??) @ (^[Y0 : int]: 8.79/2.04 (((??) @ (^[Y1 : int]: 8.79/2.04 (((plus_plus_int @ 8.79/2.04 (power_power_int @ Y0 @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 (power_power_int @ Y1 @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))) = 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ 8.79/2.04 (bit0 @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 m) @ 8.79/2.04 one_one_int)))))))))))), 8.79/2.04 inference('cnf', [status(esa)], 8.79/2.04 [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])). 8.79/2.04 thf(zip_derived_cl208, plain, 8.79/2.04 ( (((((t) = (one_one_int))) => 8.79/2.04 (((??) @ ((('#B') @ (??) @ 8.79/2.04 ((('#C') @ ((('#B') @ ('#C') @ 8.79/2.04 ((('#B') @ ((('#B') @ (=))) @ 8.79/2.04 ((('#C') @ ((('#B') @ ('#B') @ 8.79/2.04 ((('#B') @ plus_plus_int @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))) @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))))) @ 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 m) @ 8.79/2.04 one_one_int)))))))))), 8.79/2.04 inference('lams2combs', [status(thm)], [zip_derived_cl207])). 8.79/2.04 thf(zip_derived_cl418, plain, 8.79/2.04 ((~ (((t) = (one_one_int))) 8.79/2.04 | (((??) @ ((('#B') @ (??) @ 8.79/2.04 ((('#C') @ ((('#B') @ ('#C') @ 8.79/2.04 ((('#B') @ ((('#B') @ (=))) @ 8.79/2.04 ((('#C') @ ((('#B') @ ('#B') @ 8.79/2.04 ((('#B') @ plus_plus_int @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))) @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))))) @ 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ 8.79/2.04 (bit0 @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 m) @ 8.79/2.04 one_one_int))))))))), 8.79/2.04 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl208])). 8.79/2.04 thf(zip_derived_cl419, plain, 8.79/2.04 ((((t) != (one_one_int)) 8.79/2.04 | (((??) @ ((('#B') @ (??) @ 8.79/2.04 ((('#C') @ ((('#B') @ ('#C') @ 8.79/2.04 ((('#B') @ ((('#B') @ (=))) @ 8.79/2.04 ((('#C') @ ((('#B') @ ('#B') @ 8.79/2.04 ((('#B') @ plus_plus_int @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))) @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))))) @ 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ 8.79/2.04 (bit0 @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 m) @ 8.79/2.04 one_one_int))))))))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl418])). 8.79/2.04 thf(zip_derived_cl420, plain, 8.79/2.04 (( (((??) @ ((('#C') @ ((('#B') @ (=) @ 8.79/2.04 ((('#B') @ (plus_plus_int @ 8.79/2.04 (power_power_int @ '#sk1' @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))) @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))) @ 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 m) @ 8.79/2.04 one_one_int))))) 8.79/2.04 | ((t) != (one_one_int)))), 8.79/2.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl419])). 8.79/2.04 thf(zip_derived_cl421, plain, 8.79/2.04 (( (((plus_plus_int @ 8.79/2.04 (power_power_int @ '#sk1' @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 (power_power_int @ '#sk2' @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) = 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ m) @ 8.79/2.04 one_one_int))) 8.79/2.04 | ((t) != (one_one_int)))), 8.79/2.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl420])). 8.79/2.04 thf(zip_derived_cl422, plain, 8.79/2.04 ((((plus_plus_int @ 8.79/2.04 (power_power_int @ '#sk1' @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 (power_power_int @ '#sk2' @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) 8.79/2.04 = (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ m) @ 8.79/2.04 one_one_int)) 8.79/2.04 | ((t) != (one_one_int)))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl421])). 8.79/2.04 thf(fact_47_nat__1__add__1, axiom, 8.79/2.04 (( plus_plus_nat @ one_one_nat @ one_one_nat ) = 8.79/2.04 ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ))). 8.79/2.04 thf(zip_derived_cl116, plain, 8.79/2.04 (((plus_plus_nat @ one_one_nat @ one_one_nat) 8.79/2.04 = (number_number_of_nat @ (bit0 @ (bit1 @ pls))))), 8.79/2.04 inference('cnf', [status(esa)], [fact_47_nat__1__add__1])). 8.79/2.04 thf(fact_16_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J, axiom, 8.79/2.04 (![X_10:int]: 8.79/2.04 ( ( times_times_int @ X_10 @ X_10 ) = 8.79/2.04 ( power_power_int @ 8.79/2.04 X_10 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ))). 8.79/2.04 thf(zip_derived_cl87, plain, 8.79/2.04 ( (((!!) @ (^[Y0 : int]: 8.79/2.04 (((times_times_int @ Y0 @ Y0) = (power_power_int @ Y0 @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))))))), 8.79/2.04 inference('cnf', [status(esa)], 8.79/2.04 [fact_16_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J])). 8.79/2.04 thf(zip_derived_cl88, plain, 8.79/2.04 ( (((!!) @ ((('#S') @ ((('#B') @ (=) @ 8.79/2.04 ((('#S') @ times_times_int @ ('#I'))))) @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))))))), 8.79/2.04 inference('lams2combs', [status(thm)], [zip_derived_cl87])). 8.79/2.04 thf(zip_derived_cl261, plain, 8.79/2.04 (![X2 : int]: 8.79/2.04 (((times_times_int @ X2 @ X2) = (power_power_int @ X2 @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))), 8.79/2.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl88])). 8.79/2.04 thf(zip_derived_cl262, plain, 8.79/2.04 (![X2 : int]: 8.79/2.04 ((times_times_int @ X2 @ X2) 8.79/2.04 = (power_power_int @ X2 @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl261])). 8.79/2.04 thf(zip_derived_cl116, plain, 8.79/2.04 (((plus_plus_nat @ one_one_nat @ one_one_nat) 8.79/2.04 = (number_number_of_nat @ (bit0 @ (bit1 @ pls))))), 8.79/2.04 inference('cnf', [status(esa)], [fact_47_nat__1__add__1])). 8.79/2.04 thf(zip_derived_cl263, plain, 8.79/2.04 (![X2 : int]: 8.79/2.04 ((times_times_int @ X2 @ X2) 8.79/2.04 = (power_power_int @ X2 @ 8.79/2.04 (plus_plus_nat @ one_one_nat @ one_one_nat)))), 8.79/2.04 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl116])). 8.79/2.04 thf(zip_derived_cl116, plain, 8.79/2.04 (((plus_plus_nat @ one_one_nat @ one_one_nat) 8.79/2.04 = (number_number_of_nat @ (bit0 @ (bit1 @ pls))))), 8.79/2.04 inference('cnf', [status(esa)], [fact_47_nat__1__add__1])). 8.79/2.04 thf(zip_derived_cl263, plain, 8.79/2.04 (![X2 : int]: 8.79/2.04 ((times_times_int @ X2 @ X2) 8.79/2.04 = (power_power_int @ X2 @ 8.79/2.04 (plus_plus_nat @ one_one_nat @ one_one_nat)))), 8.79/2.04 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl116])). 8.79/2.04 thf(fact_111_number__of__is__id, axiom, 8.79/2.04 (![K:int]: ( ( number_number_of_int @ K ) = ( K ) ))). 8.79/2.04 thf(zip_derived_cl79, plain, 8.79/2.04 ( (((!!) @ (^[Y0 : int]: (((number_number_of_int @ Y0) = (Y0))))))), 8.79/2.04 inference('cnf', [status(esa)], [fact_111_number__of__is__id])). 8.79/2.04 thf(zip_derived_cl80, plain, 8.79/2.04 ( (((!!) @ ((('#S') @ ((('#B') @ (=) @ number_number_of_int)) @ ('#I')))))), 8.79/2.04 inference('lams2combs', [status(thm)], [zip_derived_cl79])). 8.79/2.04 thf(zip_derived_cl230, plain, 8.79/2.04 (![X2 : int]: (((number_number_of_int @ X2) = (X2)))), 8.79/2.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl80])). 8.79/2.04 thf(zip_derived_cl231, plain, 8.79/2.04 (![X2 : int]: ((number_number_of_int @ X2) = (X2))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl230])). 8.79/2.04 thf(fact_90_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J, axiom, 8.79/2.04 (![A_6:int,B_3:int]: 8.79/2.04 ( ( times_times_int @ A_6 @ B_3 ) = ( times_times_int @ B_3 @ A_6 ) ))). 8.79/2.04 thf(zip_derived_cl22, plain, 8.79/2.04 ( (((!!) @ (^[Y0 : int]: 8.79/2.04 (((!!) @ (^[Y1 : int]: 8.79/2.04 (((times_times_int @ Y0 @ Y1) = 8.79/2.04 (times_times_int @ Y1 @ Y0)))))))))), 8.79/2.04 inference('cnf', [status(esa)], 8.79/2.04 [fact_90_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J])). 8.79/2.04 thf(zip_derived_cl23, plain, 8.79/2.04 ( (((!!) @ ((('#B') @ (!!) @ 8.79/2.04 ((('#S') @ ((('#B') @ ('#S') @ 8.79/2.04 ((('#B') @ ((('#B') @ (=))) @ times_times_int)))) @ 8.79/2.04 ((('#C') @ times_times_int))))))))), 8.79/2.04 inference('lams2combs', [status(thm)], [zip_derived_cl22])). 8.79/2.04 thf(zip_derived_cl253, plain, 8.79/2.04 (![X2 : int]: 8.79/2.04 (((!!) @ ((('#S') @ ((('#B') @ (=) @ (times_times_int @ X2))) @ 8.79/2.04 ((('#C') @ times_times_int @ X2))))))), 8.79/2.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])). 8.79/2.04 thf(zip_derived_cl254, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 (((times_times_int @ X2 @ X4) = (times_times_int @ X4 @ X2)))), 8.79/2.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl253])). 8.79/2.04 thf(zip_derived_cl255, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 ((times_times_int @ X2 @ X4) = (times_times_int @ X4 @ X2))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl254])). 8.79/2.04 thf(fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom, 8.79/2.04 (![A:int,C:int]: ( ( plus_plus_int @ A @ C ) = ( plus_plus_int @ C @ A ) ))). 8.79/2.04 thf(zip_derived_cl34, plain, 8.79/2.04 ( (((!!) @ (^[Y0 : int]: 8.79/2.04 (((!!) @ (^[Y1 : int]: 8.79/2.04 (((plus_plus_int @ Y0 @ Y1) = (plus_plus_int @ 8.79/2.04 Y1 @ Y0)))))))))), 8.79/2.04 inference('cnf', [status(esa)], 8.79/2.04 [fact_102_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])). 8.79/2.04 thf(zip_derived_cl35, plain, 8.79/2.04 ( (((!!) @ ((('#B') @ (!!) @ 8.79/2.04 ((('#S') @ ((('#B') @ ('#S') @ 8.79/2.04 ((('#B') @ ((('#B') @ (=))) @ plus_plus_int)))) @ 8.79/2.04 ((('#C') @ plus_plus_int))))))))), 8.79/2.04 inference('lams2combs', [status(thm)], [zip_derived_cl34])). 8.79/2.04 thf(zip_derived_cl257, plain, 8.79/2.04 (![X2 : int]: 8.79/2.04 (((!!) @ ((('#S') @ ((('#B') @ (=) @ (plus_plus_int @ X2))) @ 8.79/2.04 ((('#C') @ plus_plus_int @ X2))))))), 8.79/2.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])). 8.79/2.04 thf(zip_derived_cl258, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 (((plus_plus_int @ X2 @ X4) = (plus_plus_int @ X4 @ X2)))), 8.79/2.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl257])). 8.79/2.04 thf(zip_derived_cl259, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 ((plus_plus_int @ X2 @ X4) = (plus_plus_int @ X4 @ X2))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl258])). 8.79/2.04 thf(zip_derived_cl423, plain, 8.79/2.04 ((((plus_plus_int @ (times_times_int @ '#sk1' @ '#sk1') @ 8.79/2.04 (times_times_int @ '#sk2' @ '#sk2')) 8.79/2.04 = (plus_plus_int @ one_one_int @ 8.79/2.04 (times_times_int @ m @ (bit0 @ (bit0 @ (bit1 @ pls)))))) 8.79/2.04 | ((t) != (one_one_int)))), 8.79/2.04 inference('demod', [status(thm)], 8.79/2.04 [zip_derived_cl422, zip_derived_cl116, zip_derived_cl263, 8.79/2.04 zip_derived_cl116, zip_derived_cl263, zip_derived_cl231, 8.79/2.04 zip_derived_cl255, zip_derived_cl259])). 8.79/2.04 thf(fact_0_tpos, axiom, (ord_less_eq_int @ one_one_int @ t)). 8.79/2.04 thf(zip_derived_cl173, plain, ( (ord_less_eq_int @ one_one_int @ t)), 8.79/2.04 inference('cnf', [status(esa)], [fact_0_tpos])). 8.79/2.04 thf(fact_28_zless__le, axiom, 8.79/2.04 (![Z:int,W:int]: 8.79/2.04 ( ( ( ( Z ) != ( W ) ) & ( ord_less_eq_int @ Z @ W ) ) <=> 8.79/2.04 ( ord_less_int @ Z @ W ) ))). 8.79/2.04 thf(zip_derived_cl136, plain, 8.79/2.04 ( (((!!) @ (^[Y0 : int]: 8.79/2.04 (((!!) @ (^[Y1 : int]: 8.79/2.04 (((((((Y0) != (Y1))) & (ord_less_eq_int @ Y0 @ 8.79/2.04 Y1))) <=> 8.79/2.04 (ord_less_int @ Y0 @ Y1)))))))))), 8.79/2.04 inference('cnf', [status(esa)], [fact_28_zless__le])). 8.79/2.04 thf(zip_derived_cl137, plain, 8.79/2.04 ( (((!!) @ ((('#B') @ (!!) @ 8.79/2.04 ((('#S') @ ((('#B') @ ('#S') @ 8.79/2.04 ((('#B') @ ((('#B') @ (<=>))) @ 8.79/2.04 ((('#S') @ ((('#B') @ ('#S') @ 8.79/2.04 ((('#B') @ ((('#B') @ (&))) @ 8.79/2.04 (!=))))) @ 8.79/2.04 ord_less_eq_int)))))) @ 8.79/2.04 ord_less_int))))))), 8.79/2.04 inference('lams2combs', [status(thm)], [zip_derived_cl136])). 8.79/2.04 thf(zip_derived_cl410, plain, 8.79/2.04 (![X2 : int]: 8.79/2.04 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 8.79/2.04 ((('#S') @ ((('#B') @ (&) @ (((int) != (X2))))) @ 8.79/2.04 (ord_less_eq_int @ X2))))) @ 8.79/2.04 (ord_less_int @ X2)))))), 8.79/2.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl137])). 8.79/2.04 thf(zip_derived_cl411, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 (((((((X2) != (X4))) & (ord_less_eq_int @ X2 @ X4))) <=> 8.79/2.04 (ord_less_int @ X2 @ X4)))), 8.79/2.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl410])). 8.79/2.04 thf(zip_derived_cl412, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 ((((((X2) != (X4))) & (ord_less_eq_int @ X2 @ X4))) 8.79/2.04 = (ord_less_int @ X2 @ X4))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl411])). 8.79/2.04 thf(zip_derived_cl1571, plain, 8.79/2.04 (((((((one_one_int) != (t))) & ($true))) 8.79/2.04 = (ord_less_int @ one_one_int @ t))), 8.79/2.04 inference('sup+', [status(thm)], [zip_derived_cl173, zip_derived_cl412])). 8.79/2.04 thf(zip_derived_cl1594, plain, 8.79/2.04 (((((one_one_int) != (t))) = (ord_less_int @ one_one_int @ t))), 8.79/2.04 inference('simplify boolean subterms', [status(thm)], 8.79/2.04 [zip_derived_cl1571])). 8.79/2.04 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, 8.79/2.04 (( ord_less_int @ one_one_int @ t ) => 8.79/2.04 ( ?[X:int,Y:int]: 8.79/2.04 ( ( plus_plus_int @ 8.79/2.04 ( power_power_int @ 8.79/2.04 X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 8.79/2.04 ( power_power_int @ 8.79/2.04 Y @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) = 8.79/2.04 ( plus_plus_int @ 8.79/2.04 ( times_times_int @ 8.79/2.04 ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 8.79/2.04 m ) @ 8.79/2.04 one_one_int ) ) ))). 8.79/2.04 thf(zip_derived_cl61, plain, 8.79/2.04 ( (((ord_less_int @ one_one_int @ t) => 8.79/2.04 (((??) @ (^[Y0 : int]: 8.79/2.04 (((??) @ (^[Y1 : int]: 8.79/2.04 (((plus_plus_int @ 8.79/2.04 (power_power_int @ Y0 @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 (power_power_int @ Y1 @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))) = 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ 8.79/2.04 (bit0 @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 m) @ 8.79/2.04 one_one_int)))))))))))), 8.79/2.04 inference('cnf', [status(esa)], 8.79/2.04 [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])). 8.79/2.04 thf(zip_derived_cl62, plain, 8.79/2.04 ( (((ord_less_int @ one_one_int @ t) => 8.79/2.04 (((??) @ ((('#B') @ (??) @ 8.79/2.04 ((('#C') @ ((('#B') @ ('#C') @ 8.79/2.04 ((('#B') @ ((('#B') @ (=))) @ 8.79/2.04 ((('#C') @ ((('#B') @ ('#B') @ 8.79/2.04 ((('#B') @ plus_plus_int @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))) @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))))) @ 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 m) @ 8.79/2.04 one_one_int)))))))))), 8.79/2.04 inference('lams2combs', [status(thm)], [zip_derived_cl61])). 8.79/2.04 thf(zip_derived_cl413, plain, 8.79/2.04 ((~ (ord_less_int @ one_one_int @ t) 8.79/2.04 | (((??) @ ((('#B') @ (??) @ 8.79/2.04 ((('#C') @ ((('#B') @ ('#C') @ 8.79/2.04 ((('#B') @ ((('#B') @ (=))) @ 8.79/2.04 ((('#C') @ ((('#B') @ ('#B') @ 8.79/2.04 ((('#B') @ plus_plus_int @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))) @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))))) @ 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ 8.79/2.04 (bit0 @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 m) @ 8.79/2.04 one_one_int))))))))), 8.79/2.04 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])). 8.79/2.04 thf(zip_derived_cl414, plain, 8.79/2.04 (( (((??) @ ((('#C') @ ((('#B') @ (=) @ 8.79/2.04 ((('#B') @ (plus_plus_int @ 8.79/2.04 (power_power_int @ '#sk1' @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))) @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))) @ 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 m) @ 8.79/2.04 one_one_int))))) 8.79/2.04 | ~ (ord_less_int @ one_one_int @ t))), 8.79/2.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl413])). 8.79/2.04 thf(zip_derived_cl415, plain, 8.79/2.04 (( (((plus_plus_int @ 8.79/2.04 (power_power_int @ '#sk1' @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 (power_power_int @ '#sk2' @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) = 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ m) @ 8.79/2.04 one_one_int))) 8.79/2.04 | ~ (ord_less_int @ one_one_int @ t))), 8.79/2.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl414])). 8.79/2.04 thf(zip_derived_cl416, plain, 8.79/2.04 ((((plus_plus_int @ 8.79/2.04 (power_power_int @ '#sk1' @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 (power_power_int @ '#sk2' @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) 8.79/2.04 = (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ m) @ 8.79/2.04 one_one_int)) 8.79/2.04 | ~ (ord_less_int @ one_one_int @ t))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl415])). 8.79/2.04 thf(zip_derived_cl116, plain, 8.79/2.04 (((plus_plus_nat @ one_one_nat @ one_one_nat) 8.79/2.04 = (number_number_of_nat @ (bit0 @ (bit1 @ pls))))), 8.79/2.04 inference('cnf', [status(esa)], [fact_47_nat__1__add__1])). 8.79/2.04 thf(zip_derived_cl263, plain, 8.79/2.04 (![X2 : int]: 8.79/2.04 ((times_times_int @ X2 @ X2) 8.79/2.04 = (power_power_int @ X2 @ 8.79/2.04 (plus_plus_nat @ one_one_nat @ one_one_nat)))), 8.79/2.04 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl116])). 8.79/2.04 thf(zip_derived_cl116, plain, 8.79/2.04 (((plus_plus_nat @ one_one_nat @ one_one_nat) 8.79/2.04 = (number_number_of_nat @ (bit0 @ (bit1 @ pls))))), 8.79/2.04 inference('cnf', [status(esa)], [fact_47_nat__1__add__1])). 8.79/2.04 thf(zip_derived_cl263, plain, 8.79/2.04 (![X2 : int]: 8.79/2.04 ((times_times_int @ X2 @ X2) 8.79/2.04 = (power_power_int @ X2 @ 8.79/2.04 (plus_plus_nat @ one_one_nat @ one_one_nat)))), 8.79/2.04 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl116])). 8.79/2.04 thf(zip_derived_cl231, plain, 8.79/2.04 (![X2 : int]: ((number_number_of_int @ X2) = (X2))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl230])). 8.79/2.04 thf(zip_derived_cl255, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 ((times_times_int @ X2 @ X4) = (times_times_int @ X4 @ X2))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl254])). 8.79/2.04 thf(zip_derived_cl259, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 ((plus_plus_int @ X2 @ X4) = (plus_plus_int @ X4 @ X2))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl258])). 8.79/2.04 thf(zip_derived_cl417, plain, 8.79/2.04 ((((plus_plus_int @ (times_times_int @ '#sk1' @ '#sk1') @ 8.79/2.04 (times_times_int @ '#sk2' @ '#sk2')) 8.79/2.04 = (plus_plus_int @ one_one_int @ 8.79/2.04 (times_times_int @ m @ (bit0 @ (bit0 @ (bit1 @ pls)))))) 8.79/2.04 | ~ (ord_less_int @ one_one_int @ t))), 8.79/2.04 inference('demod', [status(thm)], 8.79/2.04 [zip_derived_cl416, zip_derived_cl116, zip_derived_cl263, 8.79/2.04 zip_derived_cl116, zip_derived_cl263, zip_derived_cl231, 8.79/2.04 zip_derived_cl255, zip_derived_cl259])). 8.79/2.04 thf(zip_derived_cl263, plain, 8.79/2.04 (![X2 : int]: 8.79/2.04 ((times_times_int @ X2 @ X2) 8.79/2.04 = (power_power_int @ X2 @ 8.79/2.04 (plus_plus_nat @ one_one_nat @ one_one_nat)))), 8.79/2.04 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl116])). 8.79/2.04 thf(zip_derived_cl263, plain, 8.79/2.04 (![X2 : int]: 8.79/2.04 ((times_times_int @ X2 @ X2) 8.79/2.04 = (power_power_int @ X2 @ 8.79/2.04 (plus_plus_nat @ one_one_nat @ one_one_nat)))), 8.79/2.04 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl116])). 8.79/2.04 thf(conj_0, conjecture, 8.79/2.04 (?[X:int,Y:int]: 8.79/2.04 ( ( plus_plus_int @ 8.79/2.04 ( power_power_int @ 8.79/2.04 X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 8.79/2.04 ( power_power_int @ 8.79/2.04 Y @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) = 8.79/2.04 ( plus_plus_int @ 8.79/2.04 ( times_times_int @ 8.79/2.04 ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ m ) @ 8.79/2.04 one_one_int ) ))). 8.79/2.04 thf(zf_stmt_0, negated_conjecture, 8.79/2.04 (~( ?[X:int,Y:int]: 8.79/2.04 ( ( plus_plus_int @ 8.79/2.04 ( power_power_int @ 8.79/2.04 X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 8.79/2.04 ( power_power_int @ 8.79/2.04 Y @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) = 8.79/2.04 ( plus_plus_int @ 8.79/2.04 ( times_times_int @ 8.79/2.04 ( number_number_of_int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ 8.79/2.04 m ) @ 8.79/2.04 one_one_int ) ) )), 8.79/2.04 inference('cnf.neg', [status(esa)], [conj_0])). 8.79/2.04 thf(zip_derived_cl222, plain, 8.79/2.04 (~ (((??) @ (^[Y0 : int]: 8.79/2.04 (((??) @ (^[Y1 : int]: 8.79/2.04 (((plus_plus_int @ 8.79/2.04 (power_power_int @ Y0 @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 (power_power_int @ Y1 @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))) = 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ 8.79/2.04 (bit0 @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 m) @ 8.79/2.04 one_one_int)))))))))), 8.79/2.04 inference('cnf', [status(esa)], [zf_stmt_0])). 8.79/2.04 thf(zip_derived_cl223, plain, 8.79/2.04 (~ (((??) @ ((('#B') @ (??) @ 8.79/2.04 ((('#C') @ ((('#B') @ ('#C') @ 8.79/2.04 ((('#B') @ ((('#B') @ (=))) @ 8.79/2.04 ((('#C') @ ((('#B') @ ('#B') @ 8.79/2.04 ((('#B') @ plus_plus_int @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))) @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))))) @ 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 m) @ 8.79/2.04 one_one_int)))))))), 8.79/2.04 inference('lams2combs', [status(thm)], [zip_derived_cl222])). 8.79/2.04 thf(zip_derived_cl333, plain, 8.79/2.04 (![X2 : int]: 8.79/2.04 ~ (((??) @ ((('#C') @ ((('#B') @ (=) @ 8.79/2.04 ((('#B') @ (plus_plus_int @ 8.79/2.04 (power_power_int @ X2 @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))) @ 8.79/2.04 ((('#C') @ power_power_int @ 8.79/2.04 (number_number_of_nat @ 8.79/2.04 (bit0 @ (bit1 @ pls))))))))) @ 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 m) @ 8.79/2.04 one_one_int)))))), 8.79/2.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl223])). 8.79/2.04 thf(zip_derived_cl334, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 ~ (((plus_plus_int @ 8.79/2.04 (power_power_int @ X2 @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 (power_power_int @ X4 @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) = 8.79/2.04 (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ m) @ 8.79/2.04 one_one_int)))), 8.79/2.04 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl333])). 8.79/2.04 thf(zip_derived_cl335, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 ((plus_plus_int @ 8.79/2.04 (power_power_int @ X2 @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ 8.79/2.04 (power_power_int @ X4 @ 8.79/2.04 (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) 8.79/2.04 != (plus_plus_int @ 8.79/2.04 (times_times_int @ 8.79/2.04 (number_number_of_int @ (bit0 @ (bit0 @ (bit1 @ pls)))) @ m) @ 8.79/2.04 one_one_int))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl334])). 8.79/2.04 thf(zip_derived_cl116, plain, 8.79/2.04 (((plus_plus_nat @ one_one_nat @ one_one_nat) 8.79/2.04 = (number_number_of_nat @ (bit0 @ (bit1 @ pls))))), 8.79/2.04 inference('cnf', [status(esa)], [fact_47_nat__1__add__1])). 8.79/2.04 thf(zip_derived_cl116, plain, 8.79/2.04 (((plus_plus_nat @ one_one_nat @ one_one_nat) 8.79/2.04 = (number_number_of_nat @ (bit0 @ (bit1 @ pls))))), 8.79/2.04 inference('cnf', [status(esa)], [fact_47_nat__1__add__1])). 8.79/2.04 thf(zip_derived_cl231, plain, 8.79/2.04 (![X2 : int]: ((number_number_of_int @ X2) = (X2))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl230])). 8.79/2.04 thf(zip_derived_cl255, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 ((times_times_int @ X2 @ X4) = (times_times_int @ X4 @ X2))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl254])). 8.79/2.04 thf(zip_derived_cl259, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 ((plus_plus_int @ X2 @ X4) = (plus_plus_int @ X4 @ X2))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl258])). 8.79/2.04 thf(zip_derived_cl336, plain, 8.79/2.04 (![X2 : int, X4 : int]: 8.79/2.04 ((plus_plus_int @ 8.79/2.04 (power_power_int @ X2 @ (plus_plus_nat @ one_one_nat @ one_one_nat)) @ 8.79/2.04 (power_power_int @ X4 @ (plus_plus_nat @ one_one_nat @ one_one_nat))) 8.79/2.04 != (plus_plus_int @ one_one_int @ 8.79/2.04 (times_times_int @ m @ (bit0 @ (bit0 @ (bit1 @ pls))))))), 8.79/2.04 inference('demod', [status(thm)], 8.79/2.04 [zip_derived_cl335, zip_derived_cl116, zip_derived_cl116, 8.79/2.04 zip_derived_cl231, zip_derived_cl255, zip_derived_cl259])). 8.79/2.04 thf(zip_derived_cl835, plain, 8.79/2.04 (![X0 : int, X1 : int]: 8.79/2.04 ((plus_plus_int @ 8.79/2.04 (power_power_int @ X1 @ (plus_plus_nat @ one_one_nat @ one_one_nat)) @ 8.79/2.04 (times_times_int @ X0 @ X0)) 8.79/2.04 != (plus_plus_int @ one_one_int @ 8.79/2.04 (times_times_int @ m @ (bit0 @ (bit0 @ (bit1 @ pls))))))), 8.79/2.04 inference('sup-', [status(thm)], [zip_derived_cl263, zip_derived_cl336])). 8.79/2.04 thf(zip_derived_cl935, plain, 8.79/2.04 (![X0 : int, X1 : int]: 8.79/2.04 ((plus_plus_int @ (times_times_int @ X0 @ X0) @ 8.79/2.04 (times_times_int @ X1 @ X1)) 8.79/2.04 != (plus_plus_int @ one_one_int @ 8.79/2.04 (times_times_int @ m @ (bit0 @ (bit0 @ (bit1 @ pls))))))), 8.79/2.04 inference('sup-', [status(thm)], [zip_derived_cl263, zip_derived_cl835])). 8.79/2.04 thf(zip_derived_cl1708, plain, (~ (ord_less_int @ one_one_int @ t)), 8.79/2.04 inference('simplify_reflect-', [status(thm)], 8.79/2.04 [zip_derived_cl417, zip_derived_cl935])). 8.79/2.04 thf(zip_derived_cl1785, plain, (~ (((one_one_int) != (t)))), 8.79/2.04 inference('demod', [status(thm)], 8.79/2.04 [zip_derived_cl1594, zip_derived_cl1708])). 8.79/2.04 thf(zip_derived_cl1786, plain, (((one_one_int) = (t))), 8.79/2.04 inference('simplify nested equalities', [status(thm)], 8.79/2.04 [zip_derived_cl1785])). 8.79/2.04 thf(zip_derived_cl1791, plain, 8.79/2.04 ((((plus_plus_int @ (times_times_int @ '#sk1' @ '#sk1') @ 8.79/2.04 (times_times_int @ '#sk2' @ '#sk2')) 8.79/2.04 = (plus_plus_int @ one_one_int @ 8.79/2.04 (times_times_int @ m @ (bit0 @ (bit0 @ (bit1 @ pls)))))) 8.79/2.04 | ((one_one_int) != (one_one_int)))), 8.79/2.04 inference('demod', [status(thm)], [zip_derived_cl423, zip_derived_cl1786])). 8.79/2.04 thf(zip_derived_cl1792, plain, 8.79/2.04 (((plus_plus_int @ (times_times_int @ '#sk1' @ '#sk1') @ 8.79/2.04 (times_times_int @ '#sk2' @ '#sk2')) 8.79/2.04 = (plus_plus_int @ one_one_int @ 8.79/2.04 (times_times_int @ m @ (bit0 @ (bit0 @ (bit1 @ pls))))))), 8.79/2.04 inference('simplify', [status(thm)], [zip_derived_cl1791])). 8.79/2.04 thf(zip_derived_cl935, plain, 8.79/2.04 (![X0 : int, X1 : int]: 8.79/2.04 ((plus_plus_int @ (times_times_int @ X0 @ X0) @ 8.79/2.04 (times_times_int @ X1 @ X1)) 8.79/2.04 != (plus_plus_int @ one_one_int @ 8.79/2.04 (times_times_int @ m @ (bit0 @ (bit0 @ (bit1 @ pls))))))), 8.79/2.04 inference('sup-', [status(thm)], [zip_derived_cl263, zip_derived_cl835])). 8.79/2.04 thf(zip_derived_cl1793, plain, ($false), 8.79/2.04 inference('simplify_reflect-', [status(thm)], 8.79/2.04 [zip_derived_cl1792, zip_derived_cl935])). 8.79/2.04 8.79/2.04 % SZS output end Refutation 8.79/2.04 8.79/2.04 8.79/2.04 % Terminating... 7.31/2.10 % Runner terminated. 7.31/2.12 % Zipperpin 1.5 exiting 7.31/2.13 EOF