0.05/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bc6QLVRbKm true 0.11/0.33 % Computer : n012.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1200 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Jul 13 12:29:46 EDT 2021 0.11/0.33 % CPUTime : 0.11/0.33 % Running portfolio for 120 s 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.34 % Number of cores: 8 0.17/0.35 % Python version: Python 3.6.8 0.17/0.35 % Running in HO mode 0.42/0.62 % Total configuration time : 828 0.42/0.62 % Estimated wc time : 983 0.42/0.62 % Estimated cpu time (8 cpus) : 122.875 0.44/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.44/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.44/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.44/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.44/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.44/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.45/0.88 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.45/0.89 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 115.78/18.70 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 154.99/24.97 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 33s 217.63/36.10 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 18s 251.58/41.87 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 18s 284.64/47.84 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 39s 284.64/47.89 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 47s 284.64/47.96 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 18s 315.35/54.01 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 10s 320.12/55.05 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 12s 338.60/58.01 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 10s 353.38/59.92 % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 10s 381.88/63.82 % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 21s 397.82/65.89 % /export/starexec/sandbox2/solver/bin/lams/10_shallow_lift.sh running for 18s 407.05/67.04 % /export/starexec/sandbox2/solver/bin/lams/15_lcnf_noform.sh running for 18s 413.24/67.83 % /export/starexec/sandbox2/solver/bin/lams/8_sh.eqenc2.sh running for 6s 428.36/69.81 % /export/starexec/sandbox2/solver/bin/lams/8_cmb.lcnf4.sh running for 6s 441.92/71.73 % /export/starexec/sandbox2/solver/bin/lams/8_new_l_av.sh running for 14s 444.64/72.06 % Solved by lams/8_new_l_av.sh. 444.64/72.06 % done 210 iterations in 0.303s 444.64/72.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 444.64/72.06 % SZS output start Refutation 444.64/72.06 thf(nat_type, type, nat: $tType). 444.64/72.06 thf(set_type, type, set: $tType). 444.64/72.06 thf(z_type, type, z: nat). 444.64/72.06 thf(setof_type, type, setof: (nat > $o) > set). 444.64/72.06 thf(x_type, type, x: nat). 444.64/72.06 thf(n_1_type, type, n_1: nat). 444.64/72.06 thf(esti_type, type, esti: nat > set > $o). 444.64/72.06 thf(pl_type, type, pl: nat > nat > nat). 444.64/72.06 thf(y_type, type, y: nat). 444.64/72.06 thf(suc_type, type, suc: nat > nat). 444.64/72.06 thf('#sk15_type', type, '#sk15': set > nat). 444.64/72.06 thf(satz8, conjecture, (( pl @ x @ y ) != ( pl @ x @ z ))). 444.64/72.06 thf(zf_stmt_0, negated_conjecture, (( pl @ x @ y ) = ( pl @ x @ z )), 444.64/72.06 inference('cnf.neg', [status(esa)], [satz8])). 444.64/72.06 thf(zip_derived_cl6, plain, (((pl @ x @ y) = (pl @ x @ z))), 444.64/72.06 inference('cnf', [status(esa)], [zf_stmt_0])). 444.64/72.06 thf(estii, axiom, 444.64/72.06 (![Xp:( nat > $o ),Xs:nat]: 444.64/72.06 ( ( Xp @ Xs ) => ( esti @ Xs @ ( setof @ Xp ) ) ))). 444.64/72.06 thf(zip_derived_cl7, plain, 444.64/72.06 ( (((!!) @ (^[Y0 : nat > $o]: 444.64/72.06 (((!!) @ (^[Y1 : nat]: 444.64/72.06 (((Y0 @ Y1) => (esti @ Y1 @ (setof @ Y0))))))))))), 444.64/72.06 inference('cnf', [status(esa)], [estii])). 444.64/72.06 thf(zip_derived_cl21, plain, 444.64/72.06 (![X2 : nat > $o]: 444.64/72.06 (((!!) @ (^[Y0 : nat]: (((X2 @ Y0) => (esti @ Y0 @ (setof @ X2)))))))), 444.64/72.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 444.64/72.06 thf(zip_derived_cl22, plain, 444.64/72.06 ( (((!!) @ (^[Y0 : nat]: 444.64/72.06 (((((pl @ Y0 @ y) != (pl @ Y0 @ z))) => (esti @ Y0 @ 444.64/72.06 (setof @ 444.64/72.06 (^[Y1 : nat]: (((pl @ Y1 @ y) != (pl @ Y1 @ z)))))))))))), 444.64/72.06 inference('triggered_bool_instantiation', [status(thm)], 444.64/72.06 [zip_derived_cl21])). 444.64/72.06 thf(zip_derived_cl114, plain, 444.64/72.06 (![X2 : nat]: 444.64/72.06 (((((pl @ X2 @ y) != (pl @ X2 @ z))) => (esti @ X2 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z))))))))), 444.64/72.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 444.64/72.06 thf(zip_derived_cl115, plain, 444.64/72.06 (![X2 : nat]: 444.64/72.06 (~ (((pl @ X2 @ y) != (pl @ X2 @ z))) 444.64/72.06 | (esti @ X2 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))))), 444.64/72.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])). 444.64/72.06 thf(zip_derived_cl116, plain, 444.64/72.06 (![X2 : nat]: 444.64/72.06 (((pl @ X2 @ y) = (pl @ X2 @ z)) 444.64/72.06 | (esti @ X2 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], 444.64/72.06 [zip_derived_cl115])). 444.64/72.06 thf(zip_derived_cl116, plain, 444.64/72.06 (![X2 : nat]: 444.64/72.06 (((pl @ X2 @ y) = (pl @ X2 @ z)) 444.64/72.06 | (esti @ X2 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], 444.64/72.06 [zip_derived_cl115])). 444.64/72.06 thf(ax5, axiom, 444.64/72.06 (![Xs:set]: 444.64/72.06 ( ( esti @ n_1 @ Xs ) => 444.64/72.06 ( ( ![Xx:nat]: ( ( esti @ Xx @ Xs ) => ( esti @ ( suc @ Xx ) @ Xs ) ) ) => 444.64/72.06 ( ![Xx:nat]: ( esti @ Xx @ Xs ) ) ) ))). 444.64/72.06 thf(zip_derived_cl0, plain, 444.64/72.06 ( (((!!) @ (^[Y0 : set]: 444.64/72.06 (((esti @ n_1 @ Y0) => 444.64/72.06 (((((!!) @ (^[Y1 : nat]: 444.64/72.06 (((esti @ Y1 @ Y0) => (esti @ (suc @ Y1) @ 444.64/72.06 Y0)))))) => 444.64/72.06 (((!!) @ (^[Y1 : nat]: (esti @ Y1 @ Y0)))))))))))), 444.64/72.06 inference('cnf', [status(esa)], [ax5])). 444.64/72.06 thf(zip_derived_cl67, plain, 444.64/72.06 (![X2 : set]: 444.64/72.06 (((esti @ n_1 @ X2) => 444.64/72.06 (((((!!) @ (^[Y0 : nat]: 444.64/72.06 (((esti @ Y0 @ X2) => (esti @ (suc @ Y0) @ X2)))))) => 444.64/72.06 (((!!) @ (^[Y0 : nat]: (esti @ Y0 @ X2))))))))), 444.64/72.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 444.64/72.06 thf(zip_derived_cl68, plain, 444.64/72.06 (![X2 : set]: 444.64/72.06 (~ (esti @ n_1 @ X2) 444.64/72.06 | (((((!!) @ (^[Y0 : nat]: 444.64/72.06 (((esti @ Y0 @ X2) => (esti @ (suc @ Y0) @ X2)))))) => 444.64/72.06 (((!!) @ (^[Y0 : nat]: (esti @ Y0 @ X2)))))))), 444.64/72.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 444.64/72.06 thf(zip_derived_cl69, plain, 444.64/72.06 (![X2 : set]: 444.64/72.06 (~ (((!!) @ (^[Y0 : nat]: 444.64/72.06 (((esti @ Y0 @ X2) => (esti @ (suc @ Y0) @ X2)))))) 444.64/72.06 | (((!!) @ (^[Y0 : nat]: (esti @ Y0 @ X2)))) 444.64/72.06 | ~ (esti @ n_1 @ X2))), 444.64/72.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl68])). 444.64/72.06 thf(zip_derived_cl70, plain, 444.64/72.06 (![X2 : set]: 444.64/72.06 (~ (((esti @ ('#sk15' @ X2) @ X2) => (esti @ (suc @ ('#sk15' @ X2)) @ 444.64/72.06 X2))) 444.64/72.06 | ~ (esti @ n_1 @ X2) 444.64/72.06 | (((!!) @ (^[Y0 : nat]: (esti @ Y0 @ X2)))))), 444.64/72.06 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl69])). 444.64/72.06 thf(zip_derived_cl72, plain, 444.64/72.06 (![X2 : set]: 444.64/72.06 (~ (esti @ (suc @ ('#sk15' @ X2)) @ X2) 444.64/72.06 | (((!!) @ (^[Y0 : nat]: (esti @ Y0 @ X2)))) 444.64/72.06 | ~ (esti @ n_1 @ X2))), 444.64/72.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl70])). 444.64/72.06 thf(zip_derived_cl74, plain, 444.64/72.06 (![X2 : set, X4 : nat]: 444.64/72.06 ( (esti @ X4 @ X2) 444.64/72.06 | ~ (esti @ n_1 @ X2) 444.64/72.06 | ~ (esti @ (suc @ ('#sk15' @ X2)) @ X2))), 444.64/72.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl72])). 444.64/72.06 thf(zip_derived_cl117, plain, 444.64/72.06 (![X0 : nat]: 444.64/72.06 (((pl @ 444.64/72.06 (suc @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z))))))) @ 444.64/72.06 y) 444.64/72.06 = (pl @ 444.64/72.06 (suc @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z))))))) @ 444.64/72.06 z)) 444.64/72.06 | ~ (esti @ n_1 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) 444.64/72.06 | (esti @ X0 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))))), 444.64/72.06 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl74])). 444.64/72.06 thf(satz4h, axiom, 444.64/72.06 (![Xx:nat,Xy:nat]: 444.64/72.06 ( ( suc @ ( pl @ Xx @ Xy ) ) = ( pl @ ( suc @ Xx ) @ Xy ) ))). 444.64/72.06 thf(zip_derived_cl1, plain, 444.64/72.06 ( (((!!) @ (^[Y0 : nat]: 444.64/72.06 (((!!) @ (^[Y1 : nat]: 444.64/72.06 (((suc @ (pl @ Y0 @ Y1)) = (pl @ (suc @ Y0) @ 444.64/72.06 Y1)))))))))), 444.64/72.06 inference('cnf', [status(esa)], [satz4h])). 444.64/72.06 thf(zip_derived_cl11, plain, 444.64/72.06 (![X2 : nat]: 444.64/72.06 (((!!) @ (^[Y0 : nat]: 444.64/72.06 (((suc @ (pl @ X2 @ Y0)) = (pl @ (suc @ X2) @ Y0))))))), 444.64/72.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 444.64/72.06 thf(zip_derived_cl12, plain, 444.64/72.06 (![X2 : nat, X4 : nat]: 444.64/72.06 (((suc @ (pl @ X2 @ X4)) = (pl @ (suc @ X2) @ X4)))), 444.64/72.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 444.64/72.06 thf(zip_derived_cl13, plain, 444.64/72.06 (![X2 : nat, X4 : nat]: ((suc @ (pl @ X2 @ X4)) = (pl @ (suc @ X2) @ X4))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])). 444.64/72.06 thf(zip_derived_cl13, plain, 444.64/72.06 (![X2 : nat, X4 : nat]: ((suc @ (pl @ X2 @ X4)) = (pl @ (suc @ X2) @ X4))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])). 444.64/72.06 thf(zip_derived_cl132, plain, 444.64/72.06 (![X0 : nat]: 444.64/72.06 (((suc @ 444.64/72.06 (pl @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 y)) 444.64/72.06 = (suc @ 444.64/72.06 (pl @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 z))) 444.64/72.06 | ~ (esti @ n_1 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) 444.64/72.06 | (esti @ X0 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))))), 444.64/72.06 inference('demod', [status(thm)], 444.64/72.06 [zip_derived_cl117, zip_derived_cl13, zip_derived_cl13])). 444.64/72.06 thf(satz1, axiom, 444.64/72.06 (![Xx:nat,Xy:nat]: 444.64/72.06 ( ( ( Xx ) != ( Xy ) ) => ( ( suc @ Xx ) != ( suc @ Xy ) ) ))). 444.64/72.06 thf(zip_derived_cl2, plain, 444.64/72.06 ( (((!!) @ (^[Y0 : nat]: 444.64/72.06 (((!!) @ (^[Y1 : nat]: 444.64/72.06 (((((Y0) != (Y1))) => 444.64/72.06 (((suc @ Y0) != (suc @ Y1)))))))))))), 444.64/72.06 inference('cnf', [status(esa)], [satz1])). 444.64/72.06 thf(zip_derived_cl28, plain, 444.64/72.06 (![X2 : nat]: 444.64/72.06 (((!!) @ (^[Y0 : nat]: 444.64/72.06 (((((X2) != (Y0))) => (((suc @ X2) != (suc @ Y0))))))))), 444.64/72.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 444.64/72.06 thf(zip_derived_cl29, plain, 444.64/72.06 (![X2 : nat, X4 : nat]: 444.64/72.06 (((((X2) != (X4))) => (((suc @ X2) != (suc @ X4)))))), 444.64/72.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])). 444.64/72.06 thf(zip_derived_cl30, plain, 444.64/72.06 (![X2 : nat, X4 : nat]: 444.64/72.06 (~ (((X2) != (X4))) | (((suc @ X2) != (suc @ X4))))), 444.64/72.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])). 444.64/72.06 thf(zip_derived_cl31, plain, 444.64/72.06 (![X2 : nat, X4 : nat]: (((X2) = (X4)) | ((suc @ X2) != (suc @ X4)))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], [zip_derived_cl30])). 444.64/72.06 thf(zip_derived_cl116, plain, 444.64/72.06 (![X2 : nat]: 444.64/72.06 (((pl @ X2 @ y) = (pl @ X2 @ z)) 444.64/72.06 | (esti @ X2 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], 444.64/72.06 [zip_derived_cl115])). 444.64/72.06 thf(zip_derived_cl71, plain, 444.64/72.06 (![X2 : set]: 444.64/72.06 ( (esti @ ('#sk15' @ X2) @ X2) 444.64/72.06 | (((!!) @ (^[Y0 : nat]: (esti @ Y0 @ X2)))) 444.64/72.06 | ~ (esti @ n_1 @ X2))), 444.64/72.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl70])). 444.64/72.06 thf(zip_derived_cl73, plain, 444.64/72.06 (![X2 : set, X4 : nat]: 444.64/72.06 ( (esti @ X4 @ X2) 444.64/72.06 | ~ (esti @ n_1 @ X2) 444.64/72.06 | (esti @ ('#sk15' @ X2) @ X2))), 444.64/72.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl71])). 444.64/72.06 thf(zip_derived_cl75, plain, 444.64/72.06 (![X0 : set]: ( (esti @ ('#sk15' @ X0) @ X0) | ~ (esti @ n_1 @ X0))), 444.64/72.06 inference('condensation', [status(thm)], [zip_derived_cl73])). 444.64/72.06 thf(zip_derived_cl139, plain, 444.64/72.06 ((((pl @ n_1 @ y) = (pl @ n_1 @ z)) 444.64/72.06 | (esti @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))))), 444.64/72.06 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl75])). 444.64/72.06 thf(satz4g, axiom, (![Xx:nat]: ( ( suc @ Xx ) = ( pl @ n_1 @ Xx ) ))). 444.64/72.06 thf(zip_derived_cl5, plain, 444.64/72.06 ( (((!!) @ (^[Y0 : nat]: (((suc @ Y0) = (pl @ n_1 @ Y0))))))), 444.64/72.06 inference('cnf', [status(esa)], [satz4g])). 444.64/72.06 thf(zip_derived_cl8, plain, (![X2 : nat]: (((suc @ X2) = (pl @ n_1 @ X2)))), 444.64/72.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 444.64/72.06 thf(zip_derived_cl9, plain, (![X2 : nat]: ((suc @ X2) = (pl @ n_1 @ X2))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])). 444.64/72.06 thf(zip_derived_cl9, plain, (![X2 : nat]: ((suc @ X2) = (pl @ n_1 @ X2))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])). 444.64/72.06 thf(zip_derived_cl140, plain, 444.64/72.06 ((((suc @ y) = (suc @ z)) 444.64/72.06 | (esti @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))))), 444.64/72.06 inference('demod', [status(thm)], 444.64/72.06 [zip_derived_cl139, zip_derived_cl9, zip_derived_cl9])). 444.64/72.06 thf(zip_derived_cl142, plain, 444.64/72.06 (( (esti @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z))))))) 444.64/72.06 <= (( (esti @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z))))))))), 444.64/72.06 inference('split', [status(esa)], [zip_derived_cl140])). 444.64/72.06 thf(estie, axiom, 444.64/72.06 (![Xp:( nat > $o ),Xs:nat]: 444.64/72.06 ( ( esti @ Xs @ ( setof @ Xp ) ) => ( Xp @ Xs ) ))). 444.64/72.06 thf(zip_derived_cl3, plain, 444.64/72.06 ( (((!!) @ (^[Y0 : nat > $o]: 444.64/72.06 (((!!) @ (^[Y1 : nat]: 444.64/72.06 (((esti @ Y1 @ (setof @ Y0)) => (Y0 @ Y1)))))))))), 444.64/72.06 inference('cnf', [status(esa)], [estie])). 444.64/72.06 thf(zip_derived_cl14, plain, 444.64/72.06 (![X2 : nat > $o]: 444.64/72.06 (((!!) @ (^[Y0 : nat]: (((esti @ Y0 @ (setof @ X2)) => (X2 @ Y0))))))), 444.64/72.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 444.64/72.06 thf(zip_derived_cl20, plain, 444.64/72.06 ( (((!!) @ (^[Y0 : nat]: 444.64/72.06 (((esti @ Y0 @ 444.64/72.06 (setof @ 444.64/72.06 (^[Y1 : nat]: (((pl @ Y1 @ y) != (pl @ Y1 @ z)))))) => 444.64/72.06 (((pl @ Y0 @ y) != (pl @ Y0 @ z))))))))), 444.64/72.06 inference('triggered_bool_instantiation', [status(thm)], 444.64/72.06 [zip_derived_cl14])). 444.64/72.06 thf(zip_derived_cl64, plain, 444.64/72.06 (![X2 : nat]: 444.64/72.06 (((esti @ X2 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) => 444.64/72.06 (((pl @ X2 @ y) != (pl @ X2 @ z)))))), 444.64/72.06 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])). 444.64/72.06 thf(zip_derived_cl65, plain, 444.64/72.06 (![X2 : nat]: 444.64/72.06 (~ (esti @ X2 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) 444.64/72.06 | (((pl @ X2 @ y) != (pl @ X2 @ z))))), 444.64/72.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])). 444.64/72.06 thf(zip_derived_cl66, plain, 444.64/72.06 (![X2 : nat]: 444.64/72.06 (~ (esti @ X2 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) 444.64/72.06 | ((pl @ X2 @ y) != (pl @ X2 @ z)))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], [zip_derived_cl65])). 444.64/72.06 thf(zip_derived_cl144, plain, 444.64/72.06 ((((pl @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 y) 444.64/72.06 != (pl @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 z))) 444.64/72.06 <= (( (esti @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z))))))))), 444.64/72.06 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl66])). 444.64/72.06 thf(zip_derived_cl158, plain, 444.64/72.06 ((![X0 : nat]: 444.64/72.06 (((X0) 444.64/72.06 != (pl @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 z)) 444.64/72.06 | ((suc @ X0) 444.64/72.06 != (suc @ 444.64/72.06 (pl @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 y))))) 444.64/72.06 <= (( (esti @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z))))))))), 444.64/72.06 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl144])). 444.64/72.06 thf(zip_derived_cl160, plain, 444.64/72.06 ((((suc @ 444.64/72.06 (pl @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 z)) 444.64/72.06 != (suc @ 444.64/72.06 (pl @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 y)))) 444.64/72.06 <= (( (esti @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z))))))))), 444.64/72.06 inference('simplify', [status(thm)], [zip_derived_cl158])). 444.64/72.06 thf(zip_derived_cl143, plain, 444.64/72.06 ((((suc @ y) = (suc @ z))) <= ((((suc @ y) = (suc @ z))))), 444.64/72.06 inference('split', [status(esa)], [zip_derived_cl140])). 444.64/72.06 thf(zip_derived_cl31, plain, 444.64/72.06 (![X2 : nat, X4 : nat]: (((X2) = (X4)) | ((suc @ X2) != (suc @ X4)))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], [zip_derived_cl30])). 444.64/72.06 thf(zip_derived_cl148, plain, 444.64/72.06 ((![X0 : nat]: (((suc @ X0) != (suc @ z)) | ((X0) = (y)))) 444.64/72.06 <= ((((suc @ y) = (suc @ z))))), 444.64/72.06 inference('sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl31])). 444.64/72.06 thf(zip_derived_cl178, plain, ((((z) = (y))) <= ((((suc @ y) = (suc @ z))))), 444.64/72.06 inference('eq_res', [status(thm)], [zip_derived_cl148])). 444.64/72.06 thf(n, axiom, (( y ) != ( z ))). 444.64/72.06 thf(zip_derived_cl4, plain, (((y) != (z))), 444.64/72.06 inference('cnf', [status(esa)], [n])). 444.64/72.06 thf('0', plain, (~ (((suc @ y) = (suc @ z)))), 444.64/72.06 inference('simplify_reflect-', [status(thm)], 444.64/72.06 [zip_derived_cl178, zip_derived_cl4])). 444.64/72.06 thf('1', plain, 444.64/72.06 (( (esti @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z))))))) | 444.64/72.06 (((suc @ y) = (suc @ z)))), 444.64/72.06 inference('split', [status(esa)], [zip_derived_cl140])). 444.64/72.06 thf('2', plain, 444.64/72.06 (( (esti @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))))), 444.64/72.06 inference('sat_resolution*', [status(thm)], ['0', '1'])). 444.64/72.06 thf(zip_derived_cl200, plain, 444.64/72.06 (((suc @ 444.64/72.06 (pl @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 z)) 444.64/72.06 != (suc @ 444.64/72.06 (pl @ 444.64/72.06 ('#sk15' @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) @ 444.64/72.06 y)))), 444.64/72.06 inference('simpl_trail', [status(thm)], [zip_derived_cl160, '2'])). 444.64/72.06 thf(zip_derived_cl1313, plain, 444.64/72.06 (![X0 : nat]: 444.64/72.06 (~ (esti @ n_1 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) 444.64/72.06 | (esti @ X0 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))))), 444.64/72.06 inference('simplify_reflect-', [status(thm)], 444.64/72.06 [zip_derived_cl132, zip_derived_cl200])). 444.64/72.06 thf(zip_derived_cl1314, plain, 444.64/72.06 (![X0 : nat]: 444.64/72.06 (((pl @ n_1 @ y) = (pl @ n_1 @ z)) 444.64/72.06 | (esti @ X0 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))))), 444.64/72.06 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl1313])). 444.64/72.06 thf(zip_derived_cl9, plain, (![X2 : nat]: ((suc @ X2) = (pl @ n_1 @ X2))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])). 444.64/72.06 thf(zip_derived_cl9, plain, (![X2 : nat]: ((suc @ X2) = (pl @ n_1 @ X2))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])). 444.64/72.06 thf(zip_derived_cl1316, plain, 444.64/72.06 (![X0 : nat]: 444.64/72.06 (((suc @ y) = (suc @ z)) 444.64/72.06 | (esti @ X0 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))))), 444.64/72.06 inference('demod', [status(thm)], 444.64/72.06 [zip_derived_cl1314, zip_derived_cl9, zip_derived_cl9])). 444.64/72.06 thf(zip_derived_cl66, plain, 444.64/72.06 (![X2 : nat]: 444.64/72.06 (~ (esti @ X2 @ 444.64/72.06 (setof @ (^[Y0 : nat]: (((pl @ Y0 @ y) != (pl @ Y0 @ z)))))) 444.64/72.06 | ((pl @ X2 @ y) != (pl @ X2 @ z)))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], [zip_derived_cl65])). 444.64/72.06 thf(zip_derived_cl1321, plain, 444.64/72.06 (![X0 : nat]: 444.64/72.06 (((suc @ y) = (suc @ z)) | ((pl @ X0 @ y) != (pl @ X0 @ z)))), 444.64/72.06 inference('sup-', [status(thm)], [zip_derived_cl1316, zip_derived_cl66])). 444.64/72.06 thf(zip_derived_cl1342, plain, 444.64/72.06 ((((pl @ x @ z) != (pl @ x @ z)) | ((suc @ y) = (suc @ z)))), 444.64/72.06 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl1321])). 444.64/72.06 thf(zip_derived_cl1353, plain, (((suc @ y) = (suc @ z))), 444.64/72.06 inference('simplify', [status(thm)], [zip_derived_cl1342])). 444.64/72.06 thf(zip_derived_cl31, plain, 444.64/72.06 (![X2 : nat, X4 : nat]: (((X2) = (X4)) | ((suc @ X2) != (suc @ X4)))), 444.64/72.06 inference('simplify nested equalities', [status(thm)], [zip_derived_cl30])). 444.64/72.06 thf(zip_derived_cl1378, plain, 444.64/72.06 (![X0 : nat]: (((suc @ X0) != (suc @ z)) | ((X0) = (y)))), 444.64/72.06 inference('sup-', [status(thm)], [zip_derived_cl1353, zip_derived_cl31])). 444.64/72.06 thf(zip_derived_cl1400, plain, (((z) = (y))), 444.64/72.06 inference('eq_res', [status(thm)], [zip_derived_cl1378])). 444.64/72.06 thf(zip_derived_cl4, plain, (((y) != (z))), 444.64/72.06 inference('cnf', [status(esa)], [n])). 444.64/72.06 thf(zip_derived_cl1403, plain, ($false), 444.64/72.06 inference('simplify_reflect-', [status(thm)], 444.64/72.06 [zip_derived_cl1400, zip_derived_cl4])). 444.64/72.06 444.64/72.06 % SZS output end Refutation 444.64/72.06 444.64/72.06 444.64/72.06 % Terminating... 444.94/72.11 % Runner terminated. 444.94/72.12 % Zipperpin 1.5 exiting 444.94/72.14 EOF