0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZaXxXbJ4nM true 0.18/0.44 % Computer : n026.cluster.edu 0.18/0.44 % Model : x86_64 x86_64 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.44 % Memory : 8046.5625MB 0.18/0.44 % OS : Linux 6.8.0-71-generic 0.18/0.45 % CPULimit : 1440 0.18/0.45 % WCLimit : 180 0.18/0.45 % DateTime : Mon Jul 27 10:26:34 UTC 2026 0.18/0.45 % CPUTime : 0.18/0.45 % Running portfolio for 1440 s 0.18/0.45 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.18/0.45 % Number of cores: 8 0.18/0.45 % Python version: Python 3.12.3 0.18/0.46 % Running in HO mode 0.34/0.73 % Total configuration time : 828 0.34/0.73 % Estimated wc time : 1656 0.34/0.73 % Estimated cpu time (8 cpus) : 207.0 0.35/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.35/0.87 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.35/0.87 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.35/0.87 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.35/0.87 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.35/0.87 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.35/0.87 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.35/0.87 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.35/0.94 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 227.06/30.81 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 418.91/60.97 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s 456.27/70.97 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s 488.83/75.07 % Solved by lams/15_old_s4.sh. 488.83/75.07 % done 1070 iterations in 14.036s 488.83/75.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 488.83/75.07 % SZS output start Refutation 488.83/75.07 thf(set_nat_nat_type, type, set_nat_nat: $tType). 488.83/75.07 thf(nat_type, type, nat: $tType). 488.83/75.07 thf(ord_le1415039317at_nat_type, type, ord_le1415039317at_nat: set_nat_nat > 488.83/75.07 set_nat_nat > $o). 488.83/75.07 thf(number1551313001itions_type, type, number1551313001itions: (nat > nat) > 488.83/75.07 nat > $o). 488.83/75.07 thf(n_type, type, n: nat). 488.83/75.07 thf(collect_nat_nat_type, type, collect_nat_nat: ((nat > nat) > $o) > set_nat_nat). 488.83/75.07 thf(ord_less_eq_nat_type, type, ord_less_eq_nat: nat > nat > $o). 488.83/75.07 thf(zero_zero_nat_type, type, zero_zero_nat: nat). 488.83/75.07 thf(one_one_nat_type, type, one_one_nat: nat). 488.83/75.07 thf(plus_plus_nat_type, type, plus_plus_nat: nat > nat > nat). 488.83/75.07 thf(finite570312790at_nat_type, type, finite570312790at_nat: set_nat_nat > $o). 488.83/75.07 thf(fact_0__092_060open_062finite_A_123f_O_A_I_092_060forall_062i_O_Af_Ai_A_092_060le_062_An_J_A_092_060and_062_A_I_092_060forall_062i_092_060ge_062n_A_L_A1_O_Af_Ai_A_061_A0_J_125_092_060close_062, axiom, 488.83/75.07 (finite570312790at_nat @ 488.83/75.07 ( collect_nat_nat @ 488.83/75.07 ( ^[F:( nat > nat )]: 488.83/75.07 ( ( ![I:nat]: 488.83/75.07 ( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ I ) => 488.83/75.07 ( ( F @ I ) = ( zero_zero_nat ) ) ) ) & 488.83/75.07 ( ![I:nat]: ( ord_less_eq_nat @ ( F @ I ) @ n ) ) ) ) ))). 488.83/75.07 thf(zip_derived_cl184, plain, 488.83/75.07 ( (finite570312790at_nat @ 488.83/75.07 (collect_nat_nat @ 488.83/75.07 (^[Y0 : nat > nat]: 488.83/75.07 (((((!!) @ (^[Y1 : nat]: 488.83/75.07 (((ord_less_eq_nat @ 488.83/75.07 (plus_plus_nat @ n @ one_one_nat) @ Y1) => 488.83/75.07 (((Y0 @ Y1) = (zero_zero_nat)))))))) & 488.83/75.07 (((!!) @ (^[Y1 : nat]: (ord_less_eq_nat @ (Y0 @ Y1) @ n)))))))))), 488.83/75.07 inference('cnf', [status(esa)], 488.83/75.07 [fact_0__092_060open_062finite_A_123f_O_A_I_092_060forall_062i_O_Af_Ai_A_092_060le_062_An_J_A_092_060and_062_A_I_092_060forall_062i_092_060ge_062n_A_L_A1_O_Af_Ai_A_061_A0_J_125_092_060close_062])). 488.83/75.07 thf(fact_1__092_060open_062_123p_O_Ap_Apartitions_An_125_A_092_060subseteq_062_A_123f_O_A_I_092_060forall_062i_O_Af_Ai_A_092_060le_062_An_J_A_092_060and_062_A_I_092_060forall_062i_092_060ge_062n_A_L_A1_O_Af_Ai_A_061_A0_J_125_092_060close_062, axiom, 488.83/75.07 (ord_le1415039317at_nat @ 488.83/75.07 ( collect_nat_nat @ 488.83/75.07 ( ^[P:( nat > nat )]: ( number1551313001itions @ P @ n ) ) ) @ 488.83/75.07 ( collect_nat_nat @ 488.83/75.07 ( ^[F:( nat > nat )]: 488.83/75.07 ( ( ![I:nat]: ( ord_less_eq_nat @ ( F @ I ) @ n ) ) & 488.83/75.07 ( ![I:nat]: 488.83/75.07 ( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ I ) => 488.83/75.07 ( ( F @ I ) = ( zero_zero_nat ) ) ) ) ) ) ))). 488.83/75.07 thf(zip_derived_cl211, plain, 488.83/75.07 ( (ord_le1415039317at_nat @ 488.83/75.07 (collect_nat_nat @ 488.83/75.07 (^[Y0 : nat > nat]: (number1551313001itions @ Y0 @ n))) @ 488.83/75.07 (collect_nat_nat @ 488.83/75.07 (^[Y0 : nat > nat]: 488.83/75.07 (((((!!) @ (^[Y1 : nat]: (ord_less_eq_nat @ (Y0 @ Y1) @ n)))) & 488.83/75.07 (((!!) @ (^[Y1 : nat]: 488.83/75.07 (((ord_less_eq_nat @ 488.83/75.07 (plus_plus_nat @ n @ one_one_nat) @ Y1) => 488.83/75.07 (((Y0 @ Y1) = (zero_zero_nat)))))))))))))), 488.83/75.07 inference('cnf', [status(esa)], 488.83/75.07 [fact_1__092_060open_062_123p_O_Ap_Apartitions_An_125_A_092_060subseteq_062_A_123f_O_A_I_092_060forall_062i_O_Af_Ai_A_092_060le_062_An_J_A_092_060and_062_A_I_092_060forall_062i_092_060ge_062n_A_L_A1_O_Af_Ai_A_061_A0_J_125_092_060close_062])). 488.83/75.07 thf(fact_62_rev__finite__subset, axiom, 488.83/75.07 (![B:set_nat_nat,A:set_nat_nat]: 488.83/75.07 ( ( finite570312790at_nat @ B ) => 488.83/75.07 ( ( ord_le1415039317at_nat @ A @ B ) => ( finite570312790at_nat @ A ) ) ))). 488.83/75.07 thf(zip_derived_cl268, plain, 488.83/75.07 ( (((!!) @ (^[Y0 : set_nat_nat]: 488.83/75.07 (((!!) @ (^[Y1 : set_nat_nat]: 488.83/75.07 (((finite570312790at_nat @ Y0) => 488.83/75.07 (((ord_le1415039317at_nat @ Y1 @ Y0) => 488.83/75.07 (finite570312790at_nat @ Y1)))))))))))), 488.83/75.07 inference('cnf', [status(esa)], [fact_62_rev__finite__subset])). 488.83/75.07 thf(zip_derived_cl935, plain, 488.83/75.07 (![X2 : set_nat_nat]: 488.83/75.07 (((!!) @ (^[Y0 : set_nat_nat]: 488.83/75.07 (((finite570312790at_nat @ X2) => 488.83/75.07 (((ord_le1415039317at_nat @ Y0 @ X2) => 488.83/75.07 (finite570312790at_nat @ Y0))))))))), 488.83/75.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl268])). 488.83/75.07 thf(zip_derived_cl6493, plain, 488.83/75.07 (![X2 : set_nat_nat, X4 : set_nat_nat]: 488.83/75.07 (((finite570312790at_nat @ X2) => 488.83/75.07 (((ord_le1415039317at_nat @ X4 @ X2) => (finite570312790at_nat @ 488.83/75.07 X4)))))), 488.83/75.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl935])). 488.83/75.07 thf(zip_derived_cl6501, plain, 488.83/75.07 (![X2 : set_nat_nat, X4 : set_nat_nat]: 488.83/75.07 (~ (finite570312790at_nat @ X2) 488.83/75.07 | (((ord_le1415039317at_nat @ X4 @ X2) => (finite570312790at_nat @ 488.83/75.07 X4))))), 488.83/75.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6493])). 488.83/75.07 thf(zip_derived_cl6549, plain, 488.83/75.07 (![X2 : set_nat_nat, X4 : set_nat_nat]: 488.83/75.07 (~ (ord_le1415039317at_nat @ X4 @ X2) 488.83/75.07 | (finite570312790at_nat @ X4) 488.83/75.07 | ~ (finite570312790at_nat @ X2))), 488.83/75.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6501])). 488.83/75.07 thf(zip_derived_cl9285, plain, 488.83/75.07 ((~ (finite570312790at_nat @ 488.83/75.07 (collect_nat_nat @ 488.83/75.07 (^[Y0 : nat > nat]: 488.83/75.07 (((((!!) @ (^[Y1 : nat]: (ord_less_eq_nat @ (Y0 @ Y1) @ n)))) & 488.83/75.07 (((!!) @ (^[Y1 : nat]: 488.83/75.07 (((ord_less_eq_nat @ 488.83/75.07 (plus_plus_nat @ n @ one_one_nat) @ Y1) => 488.83/75.07 (((Y0 @ Y1) = (zero_zero_nat))))))))))))) 488.83/75.07 | (finite570312790at_nat @ 488.83/75.07 (collect_nat_nat @ 488.83/75.07 (^[Y0 : nat > nat]: (number1551313001itions @ Y0 @ n)))))), 488.83/75.07 inference('sup-', [status(thm)], [zip_derived_cl211, zip_derived_cl6549])). 488.83/75.07 thf(conj_0, conjecture, 488.83/75.07 (finite570312790at_nat @ 488.83/75.07 ( collect_nat_nat @ 488.83/75.07 ( ^[P:( nat > nat )]: ( number1551313001itions @ P @ n ) ) ))). 488.83/75.07 thf(zf_stmt_0, negated_conjecture, 488.83/75.07 (~( finite570312790at_nat @ 488.83/75.07 ( collect_nat_nat @ 488.83/75.07 ( ^[P:( nat > nat )]: ( number1551313001itions @ P @ n ) ) ) )), 488.83/75.07 inference('cnf.neg', [status(esa)], [conj_0])). 488.83/75.07 thf(zip_derived_cl309, plain, 488.83/75.07 (~ (finite570312790at_nat @ 488.83/75.07 (collect_nat_nat @ 488.83/75.07 (^[Y0 : nat > nat]: (number1551313001itions @ Y0 @ n))))), 488.83/75.07 inference('cnf', [status(esa)], [zf_stmt_0])). 488.83/75.07 thf(zip_derived_cl9294, plain, 488.83/75.07 (~ (finite570312790at_nat @ 488.83/75.07 (collect_nat_nat @ 488.83/75.07 (^[Y0 : nat > nat]: 488.83/75.07 (((((!!) @ (^[Y1 : nat]: (ord_less_eq_nat @ (Y0 @ Y1) @ n)))) & 488.83/75.07 (((!!) @ (^[Y1 : nat]: 488.83/75.07 (((ord_less_eq_nat @ 488.83/75.07 (plus_plus_nat @ n @ one_one_nat) @ Y1) => 488.83/75.07 (((Y0 @ Y1) = (zero_zero_nat)))))))))))))), 488.83/75.07 inference('demod', [status(thm)], [zip_derived_cl9285, zip_derived_cl309])). 488.83/75.07 thf(zip_derived_cl9309, plain, ($false), 488.83/75.07 inference('sup-', [status(thm)], [zip_derived_cl184, zip_derived_cl9294])). 488.83/75.07 488.83/75.07 % SZS output end Refutation 488.83/75.07 488.83/75.07 488.83/75.07 % Terminating... 174.41/75.14 % Runner terminated. 174.41/75.17 % Zipperpin 1.5 exiting 174.41/75.19 EOF