0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.14/0.26 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ry6QeFtpON true 0.26/0.47 % Computer : n005.cluster.edu 0.26/0.47 % Model : x86_64 x86_64 0.26/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.26/0.47 % Memory : 8042.1875MB 0.26/0.47 % OS : Linux 3.10.0-693.el7.x86_64 0.26/0.47 % CPULimit : 1440 0.26/0.47 % WCLimit : 180 0.26/0.47 % DateTime : Mon Jul 3 10:20:15 EDT 2023 0.26/0.47 % CPUTime : 0.26/0.47 % Running portfolio for 1440 s 0.26/0.47 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.26/0.47 % Number of cores: 8 0.26/0.47 % Python version: Python 3.6.8 0.26/0.47 % Running in HO mode 0.45/0.75 % Total configuration time : 828 0.45/0.75 % Estimated wc time : 1656 0.45/0.75 % Estimated cpu time (8 cpus) : 207.0 0.48/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.48/0.86 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.48/0.88 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.48/0.88 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.48/0.88 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.48/0.88 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.48/0.89 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.48/0.93 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.48/1.13 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 91.86/12.66 % Solved by lams/40_b.comb.sh. 91.86/12.66 % done 398 iterations in 11.691s 91.86/12.66 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 91.86/12.66 % SZS output start Refutation 91.86/12.66 thf(list_A1402527603le_alt_type, type, list_A1402527603le_alt: $tType). 91.86/12.66 thf(arrow_1389031998le_alt_type, type, arrow_1389031998le_alt: $tType). 91.86/12.66 thf(produc1572197287le_alt_type, type, produc1572197287le_alt: $tType). 91.86/12.66 thf(arrow_1196572341e_indi_type, type, arrow_1196572341e_indi: $tType). 91.86/12.66 thf(member1241905979_alt_o_type, type, member1241905979_alt_o: (produc1572197287le_alt > $o) > 91.86/12.66 ((produc1572197287le_alt > $o) > $o) > $o). 91.86/12.66 thf(produc897867031le_alt_type, type, produc897867031le_alt: arrow_1389031998le_alt > 91.86/12.66 arrow_1389031998le_alt > produc1572197287le_alt). 91.86/12.66 thf(b_type, type, b: arrow_1389031998le_alt). 91.86/12.66 thf(top_to54564308indi_o_type, type, top_to54564308indi_o: arrow_1196572341e_indi > $o). 91.86/12.66 thf(last_A2130988295le_alt_type, type, last_A2130988295le_alt: list_A1402527603le_alt > arrow_1389031998le_alt). 91.86/12.66 thf(hd_Arr731872705le_alt_type, type, hd_Arr731872705le_alt: list_A1402527603le_alt > arrow_1389031998le_alt). 91.86/12.66 thf(c_type, type, c: arrow_1389031998le_alt). 91.86/12.66 thf(cons_A1142416030le_alt_type, type, cons_A1142416030le_alt: arrow_1389031998le_alt > 91.86/12.66 list_A1402527603le_alt > list_A1402527603le_alt). 91.86/12.66 thf('#ty_enc64_type', type, '#ty_enc64': ((produc1572197287le_alt > $o) > $o) > 91.86/12.66 arrow_1196572341e_indi > 91.86/12.66 (produc1572197287le_alt > $o) > $o). 91.86/12.66 thf(member822980838_alt_o_type, type, member822980838_alt_o: (arrow_1196572341e_indi > 91.86/12.66 produc1572197287le_alt > $o) > 91.86/12.66 ((arrow_1196572341e_indi > 91.86/12.66 produc1572197287le_alt > $o) > $o) > $o). 91.86/12.66 thf(ord_le602483040lt_o_o_type, type, ord_le602483040lt_o_o: ((arrow_1196572341e_indi > 91.86/12.66 produc1572197287le_alt > $o) > $o) > 91.86/12.66 ((arrow_1196572341e_indi > 91.86/12.66 produc1572197287le_alt > $o) > $o) > $o). 91.86/12.66 thf(append1092755459le_alt_type, type, append1092755459le_alt: list_A1402527603le_alt > 91.86/12.66 list_A1402527603le_alt > list_A1402527603le_alt). 91.86/12.66 thf(butlas1188620858le_alt_type, type, butlas1188620858le_alt: list_A1402527603le_alt > list_A1402527603le_alt). 91.86/12.66 thf(arrow_1647925946e_Prof_type, type, arrow_1647925946e_Prof: (arrow_1196572341e_indi > 91.86/12.66 produc1572197287le_alt > $o) > $o). 91.86/12.66 thf(member285112084le_alt_type, type, member285112084le_alt: produc1572197287le_alt > 91.86/12.66 (produc1572197287le_alt > $o) > $o). 91.86/12.66 thf(member998036369le_alt_type, type, member998036369le_alt: arrow_1389031998le_alt > 91.86/12.66 (arrow_1389031998le_alt > $o) > $o). 91.86/12.66 thf('#sk11_type', type, '#sk11': arrow_1196572341e_indi). 91.86/12.66 thf(p_type, type, p: arrow_1196572341e_indi > produc1572197287le_alt > $o). 91.86/12.66 thf(nil_Ar52383470le_alt_type, type, nil_Ar52383470le_alt: list_A1402527603le_alt). 91.86/12.66 thf(distin1149997281le_alt_type, type, distin1149997281le_alt: list_A1402527603le_alt > $o). 91.86/12.66 thf(pi_Arr1309696186_alt_o_type, type, pi_Arr1309696186_alt_o: (arrow_1196572341e_indi > $o) > 91.86/12.66 (arrow_1196572341e_indi > 91.86/12.66 (produc1572197287le_alt > $o) > $o) > 91.86/12.66 (arrow_1196572341e_indi > 91.86/12.66 produc1572197287le_alt > $o) > $o). 91.86/12.66 thf(arrow_1865170000_below_type, type, arrow_1865170000_below: (produc1572197287le_alt > $o) > 91.86/12.66 arrow_1389031998le_alt > 91.86/12.66 arrow_1389031998le_alt > 91.86/12.66 produc1572197287le_alt > $o). 91.86/12.66 thf(set_Ar1491127311le_alt_type, type, set_Ar1491127311le_alt: list_A1402527603le_alt > 91.86/12.66 arrow_1389031998le_alt > $o). 91.86/12.66 thf(arrow_1982173296le_Lin_type, type, arrow_1982173296le_Lin: (produc1572197287le_alt > $o) > $o). 91.86/12.66 thf(ord_le865407012indi_o_type, type, ord_le865407012indi_o: (arrow_1196572341e_indi > $o) > 91.86/12.66 (arrow_1196572341e_indi > $o) > $o). 91.86/12.66 thf(a_type, type, a: arrow_1389031998le_alt). 91.86/12.66 thf(member1818997282e_indi_type, type, member1818997282e_indi: arrow_1196572341e_indi > 91.86/12.66 (arrow_1196572341e_indi > $o) > $o). 91.86/12.66 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 91.86/12.66 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 91.86/12.66 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 91.86/12.66 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 91.86/12.66 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 91.86/12.66 thf(fact_4_dist, axiom, 91.86/12.66 (distin1149997281le_alt @ 91.86/12.66 ( cons_A1142416030le_alt @ 91.86/12.66 a @ 91.86/12.66 ( cons_A1142416030le_alt @ 91.86/12.66 b @ ( cons_A1142416030le_alt @ c @ nil_Ar52383470le_alt ) ) ))). 91.86/12.66 thf(zip_derived_cl112, plain, 91.86/12.66 ( (distin1149997281le_alt @ 91.86/12.66 (cons_A1142416030le_alt @ a @ 91.86/12.66 (cons_A1142416030le_alt @ b @ 91.86/12.66 (cons_A1142416030le_alt @ c @ nil_Ar52383470le_alt))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_4_dist])). 91.86/12.66 thf(fact_37_list_Osimps_I2_J, axiom, 91.86/12.66 (![A_48:arrow_1389031998le_alt,List_5:list_A1402527603le_alt]: 91.86/12.66 ( ( nil_Ar52383470le_alt ) != ( cons_A1142416030le_alt @ A_48 @ List_5 ) ))). 91.86/12.66 thf(zip_derived_cl78, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ (^[Y1 : list_A1402527603le_alt]: 91.86/12.66 (((nil_Ar52383470le_alt) != 91.86/12.66 (cons_A1142416030le_alt @ Y0 @ Y1)))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_37_list_Osimps_I2_J])). 91.86/12.66 thf(zip_derived_cl79, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#B') @ ((('#B') @ (((list_A1402527603le_alt) != 91.86/12.66 (nil_Ar52383470le_alt))))) @ 91.86/12.66 cons_A1142416030le_alt))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl78])). 91.86/12.66 thf(zip_derived_cl482, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ ((('#B') @ (((list_A1402527603le_alt) != 91.86/12.66 (nil_Ar52383470le_alt))) @ 91.86/12.66 (cons_A1142416030le_alt @ X2)))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl79])). 91.86/12.66 thf(zip_derived_cl483, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 91.86/12.66 (((nil_Ar52383470le_alt) != (cons_A1142416030le_alt @ X2 @ X4)))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl482])). 91.86/12.66 thf(zip_derived_cl484, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 91.86/12.66 ((nil_Ar52383470le_alt) != (cons_A1142416030le_alt @ X2 @ X4))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl483])). 91.86/12.66 thf(fact_583_hd_Osimps, axiom, 91.86/12.66 (![X_54:arrow_1389031998le_alt,Xs_77:list_A1402527603le_alt]: 91.86/12.66 ( ( hd_Arr731872705le_alt @ ( cons_A1142416030le_alt @ X_54 @ Xs_77 ) ) = 91.86/12.66 ( X_54 ) ))). 91.86/12.66 thf(zip_derived_cl156, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ (^[Y1 : list_A1402527603le_alt]: 91.86/12.66 (((hd_Arr731872705le_alt @ 91.86/12.66 (cons_A1142416030le_alt @ Y0 @ Y1)) = (Y0)))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_583_hd_Osimps])). 91.86/12.66 thf(zip_derived_cl157, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#C') @ 91.86/12.66 ((('#B') @ ((('#B') @ (=))) @ 91.86/12.66 ((('#B') @ ((('#B') @ hd_Arr731872705le_alt)) @ 91.86/12.66 cons_A1142416030le_alt)))))) @ 91.86/12.66 ('#I')))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl156])). 91.86/12.66 thf(zip_derived_cl557, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ ((('#C') @ ((('#B') @ (=) @ 91.86/12.66 ((('#B') @ hd_Arr731872705le_alt @ 91.86/12.66 (cons_A1142416030le_alt @ X2))))) @ 91.86/12.66 X2))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl157])). 91.86/12.66 thf(zip_derived_cl558, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 91.86/12.66 (((hd_Arr731872705le_alt @ (cons_A1142416030le_alt @ X2 @ X4)) = (X2)))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl557])). 91.86/12.66 thf(zip_derived_cl559, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 91.86/12.66 ((hd_Arr731872705le_alt @ (cons_A1142416030le_alt @ X2 @ X4)) = (X2))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl558])). 91.86/12.66 thf(fact_401_append__Nil, axiom, 91.86/12.66 (![Ys_57:list_A1402527603le_alt]: 91.86/12.66 ( ( append1092755459le_alt @ nil_Ar52383470le_alt @ Ys_57 ) = ( Ys_57 ) ))). 91.86/12.66 thf(zip_derived_cl190, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : list_A1402527603le_alt]: 91.86/12.66 (((append1092755459le_alt @ nil_Ar52383470le_alt @ Y0) = 91.86/12.66 (Y0))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_401_append__Nil])). 91.86/12.66 thf(zip_derived_cl191, plain, 91.86/12.66 ( (((!!) @ ((('#S') @ ((('#B') @ (=) @ 91.86/12.66 (append1092755459le_alt @ nil_Ar52383470le_alt))) @ 91.86/12.66 ('#I')))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl190])). 91.86/12.66 thf(zip_derived_cl443, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt]: 91.86/12.66 (((append1092755459le_alt @ nil_Ar52383470le_alt @ X2) = (X2)))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl191])). 91.86/12.66 thf(zip_derived_cl444, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt]: 91.86/12.66 ((append1092755459le_alt @ nil_Ar52383470le_alt @ X2) = (X2))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl443])). 91.86/12.66 thf(fact_744_hd__in__set, axiom, 91.86/12.66 (![Xs_25:list_A1402527603le_alt]: 91.86/12.66 ( ( ( Xs_25 ) != ( nil_Ar52383470le_alt ) ) => 91.86/12.66 ( member998036369le_alt @ 91.86/12.66 ( hd_Arr731872705le_alt @ Xs_25 ) @ ( set_Ar1491127311le_alt @ Xs_25 ) ) ))). 91.86/12.66 thf(zip_derived_cl228, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : list_A1402527603le_alt]: 91.86/12.66 (((((Y0) != (nil_Ar52383470le_alt))) => 91.86/12.66 (member998036369le_alt @ (hd_Arr731872705le_alt @ Y0) @ 91.86/12.66 (set_Ar1491127311le_alt @ Y0)))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_744_hd__in__set])). 91.86/12.66 thf(zip_derived_cl229, plain, 91.86/12.66 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 91.86/12.66 ((('#C') @ (!=) @ nil_Ar52383470le_alt)))) @ 91.86/12.66 ((('#S') @ ((('#B') @ member998036369le_alt @ 91.86/12.66 hd_Arr731872705le_alt)) @ 91.86/12.66 set_Ar1491127311le_alt))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl228])). 91.86/12.66 thf(zip_derived_cl494, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt]: 91.86/12.66 (((((X2) != (nil_Ar52383470le_alt))) => (member998036369le_alt @ 91.86/12.66 (hd_Arr731872705le_alt @ X2) @ (set_Ar1491127311le_alt @ X2))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl229])). 91.86/12.66 thf(zip_derived_cl495, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt]: 91.86/12.66 (~ (((X2) != (nil_Ar52383470le_alt))) 91.86/12.66 | (member998036369le_alt @ (hd_Arr731872705le_alt @ X2) @ 91.86/12.66 (set_Ar1491127311le_alt @ X2)))), 91.86/12.66 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl494])). 91.86/12.66 thf(zip_derived_cl496, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt]: 91.86/12.66 (((X2) = (nil_Ar52383470le_alt)) 91.86/12.66 | (member998036369le_alt @ (hd_Arr731872705le_alt @ X2) @ 91.86/12.66 (set_Ar1491127311le_alt @ X2)))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl495])). 91.86/12.66 thf(fact_399_append__Cons, axiom, 91.86/12.66 (![X_86:arrow_1389031998le_alt,Xs_140:list_A1402527603le_alt, 91.86/12.66 Ys_59:list_A1402527603le_alt]: 91.86/12.66 ( ( append1092755459le_alt @ 91.86/12.66 ( cons_A1142416030le_alt @ X_86 @ Xs_140 ) @ Ys_59 ) = 91.86/12.66 ( cons_A1142416030le_alt @ 91.86/12.66 X_86 @ ( append1092755459le_alt @ Xs_140 @ Ys_59 ) ) ))). 91.86/12.66 thf(zip_derived_cl180, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ (^[Y1 : list_A1402527603le_alt]: 91.86/12.66 (((!!) @ (^[Y2 : list_A1402527603le_alt]: 91.86/12.66 (((append1092755459le_alt @ 91.86/12.66 (cons_A1142416030le_alt @ Y0 @ Y1) @ 91.86/12.66 Y2) = (cons_A1142416030le_alt @ 91.86/12.66 Y0 @ 91.86/12.66 (append1092755459le_alt @ Y1 @ Y2)))))))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_399_append__Cons])). 91.86/12.66 thf(zip_derived_cl181, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#B') @ ((('#B') @ (!!))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#S'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ append1092755459le_alt)) @ 91.86/12.66 cons_A1142416030le_alt)))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ ('#B') @ cons_A1142416030le_alt)))) @ 91.86/12.66 append1092755459le_alt))))))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl180])). 91.86/12.66 thf(zip_derived_cl814, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (=))) @ 91.86/12.66 ((('#B') @ append1092755459le_alt @ 91.86/12.66 (cons_A1142416030le_alt @ X2))))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ (cons_A1142416030le_alt @ X2))) @ 91.86/12.66 append1092755459le_alt))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl181])). 91.86/12.66 thf(zip_derived_cl815, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 91.86/12.66 (((!!) @ ((('#S') @ ((('#B') @ (=) @ 91.86/12.66 (append1092755459le_alt @ 91.86/12.66 (cons_A1142416030le_alt @ X2 @ X4)))) @ 91.86/12.66 ((('#B') @ (cons_A1142416030le_alt @ X2) @ 91.86/12.66 (append1092755459le_alt @ X4)))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl814])). 91.86/12.66 thf(zip_derived_cl816, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt, 91.86/12.66 X6 : list_A1402527603le_alt]: 91.86/12.66 (((append1092755459le_alt @ (cons_A1142416030le_alt @ X2 @ X4) @ 91.86/12.66 X6) = (cons_A1142416030le_alt @ X2 @ 91.86/12.66 (append1092755459le_alt @ X4 @ X6))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl815])). 91.86/12.66 thf(zip_derived_cl817, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt, 91.86/12.66 X6 : list_A1402527603le_alt]: 91.86/12.66 ((append1092755459le_alt @ (cons_A1142416030le_alt @ X2 @ X4) @ X6) 91.86/12.66 = (cons_A1142416030le_alt @ X2 @ (append1092755459le_alt @ X4 @ X6)))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl816])). 91.86/12.66 thf(fact_423_last__snoc, axiom, 91.86/12.66 (![Xs_119:list_A1402527603le_alt,X_77:arrow_1389031998le_alt]: 91.86/12.66 ( ( last_A2130988295le_alt @ 91.86/12.66 ( append1092755459le_alt @ 91.86/12.66 Xs_119 @ ( cons_A1142416030le_alt @ X_77 @ nil_Ar52383470le_alt ) ) ) = 91.86/12.66 ( X_77 ) ))). 91.86/12.66 thf(zip_derived_cl154, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : list_A1402527603le_alt]: 91.86/12.66 (((!!) @ (^[Y1 : arrow_1389031998le_alt]: 91.86/12.66 (((last_A2130988295le_alt @ 91.86/12.66 (append1092755459le_alt @ Y0 @ 91.86/12.66 (cons_A1142416030le_alt @ Y1 @ 91.86/12.66 nil_Ar52383470le_alt))) = 91.86/12.66 (Y1)))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_423_last__snoc])). 91.86/12.66 thf(zip_derived_cl155, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (=))) @ 91.86/12.66 ((('#B') @ ((('#B') @ last_A2130988295le_alt)) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#B') @ 91.86/12.66 append1092755459le_alt)) @ 91.86/12.66 ((('#C') @ cons_A1142416030le_alt @ 91.86/12.66 nil_Ar52383470le_alt)))))))))) @ 91.86/12.66 ('#I')))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl154])). 91.86/12.66 thf(zip_derived_cl626, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt]: 91.86/12.66 (((!!) @ ((('#S') @ ((('#B') @ (=) @ 91.86/12.66 ((('#B') @ last_A2130988295le_alt @ 91.86/12.66 ((('#B') @ (append1092755459le_alt @ X2) @ 91.86/12.66 ((('#C') @ cons_A1142416030le_alt @ 91.86/12.66 nil_Ar52383470le_alt)))))))) @ 91.86/12.66 ('#I')))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl155])). 91.86/12.66 thf(zip_derived_cl627, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt, X4 : arrow_1389031998le_alt]: 91.86/12.66 (((last_A2130988295le_alt @ 91.86/12.66 (append1092755459le_alt @ X2 @ 91.86/12.66 (cons_A1142416030le_alt @ X4 @ nil_Ar52383470le_alt))) = 91.86/12.66 (X4)))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl626])). 91.86/12.66 thf(zip_derived_cl628, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt, X4 : arrow_1389031998le_alt]: 91.86/12.66 ((last_A2130988295le_alt @ 91.86/12.66 (append1092755459le_alt @ X2 @ 91.86/12.66 (cons_A1142416030le_alt @ X4 @ nil_Ar52383470le_alt))) 91.86/12.66 = (X4))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl627])). 91.86/12.66 thf(fact_433_snoc__eq__iff__butlast, axiom, 91.86/12.66 (![Xs_118:list_A1402527603le_alt,X_75:arrow_1389031998le_alt, 91.86/12.66 Ys_41:list_A1402527603le_alt]: 91.86/12.66 ( ( ( append1092755459le_alt @ 91.86/12.66 Xs_118 @ ( cons_A1142416030le_alt @ X_75 @ nil_Ar52383470le_alt ) ) = 91.86/12.66 ( Ys_41 ) ) <=> 91.86/12.66 ( ( ( last_A2130988295le_alt @ Ys_41 ) = ( X_75 ) ) & 91.86/12.66 ( ( butlas1188620858le_alt @ Ys_41 ) = ( Xs_118 ) ) & 91.86/12.66 ( ( Ys_41 ) != ( nil_Ar52383470le_alt ) ) ) ))). 91.86/12.66 thf(zip_derived_cl222, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : list_A1402527603le_alt]: 91.86/12.66 (((!!) @ (^[Y1 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ (^[Y2 : list_A1402527603le_alt]: 91.86/12.66 (((((append1092755459le_alt @ Y0 @ 91.86/12.66 (cons_A1142416030le_alt @ Y1 @ 91.86/12.66 nil_Ar52383470le_alt)) = 91.86/12.66 (Y2))) <=> 91.86/12.66 (((((last_A2130988295le_alt @ 91.86/12.66 Y2) = (Y1))) & 91.86/12.66 (((butlas1188620858le_alt @ 91.86/12.66 Y2) = (Y0))) & 91.86/12.66 (((Y2) != 91.86/12.66 (nil_Ar52383470le_alt))))))))))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_433_snoc__eq__iff__butlast])). 91.86/12.66 thf(zip_derived_cl223, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#B') @ ((('#B') @ (!!))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#S'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ (<=>))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ (=))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#B') @ 91.86/12.66 append1092755459le_alt)) @ 91.86/12.66 ((('#C') @ cons_A1142416030le_alt @ 91.86/12.66 nil_Ar52383470le_alt)))))))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#C') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#S'))) @ 91.86/12.66 ((('#B') @ ((('#C') @ ((('#B') @ ( 91.86/12.66 '#S') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ (&))) @ 91.86/12.66 ((('#C') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 =) @ 91.86/12.66 last_A2130988295le_alt)))))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ (=) @ 91.86/12.66 butlas1188620858le_alt)))))))))) @ 91.86/12.66 ((('#C') @ (!=) @ nil_Ar52383470le_alt))))))))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl222])). 91.86/12.66 thf(zip_derived_cl990, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt]: 91.86/12.66 (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (<=>))) @ 91.86/12.66 ((('#B') @ (=) @ 91.86/12.66 ((('#B') @ (append1092755459le_alt @ X2) @ 91.86/12.66 ((('#C') @ cons_A1142416030le_alt @ 91.86/12.66 nil_Ar52383470le_alt)))))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (&))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ( 91.86/12.66 =) @ 91.86/12.66 last_A2130988295le_alt)))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ (=) @ 91.86/12.66 butlas1188620858le_alt)) @ 91.86/12.66 X2)))))) @ 91.86/12.66 ((('#C') @ (!=) @ nil_Ar52383470le_alt))))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl223])). 91.86/12.66 thf(zip_derived_cl991, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt, X4 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 91.86/12.66 (((list_A1402527603le_alt) = 91.86/12.66 (append1092755459le_alt @ X2 @ 91.86/12.66 (cons_A1142416030le_alt @ X4 @ 91.86/12.66 nil_Ar52383470le_alt)))))) @ 91.86/12.66 ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 91.86/12.66 ((('#C') @ ((('#B') @ (=) @ 91.86/12.66 last_A2130988295le_alt)) @ 91.86/12.66 X4)))) @ 91.86/12.66 ((('#C') @ ((('#B') @ (=) @ 91.86/12.66 butlas1188620858le_alt)) @ 91.86/12.66 X2)))) @ 91.86/12.66 ((('#C') @ (!=) @ nil_Ar52383470le_alt))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl990])). 91.86/12.66 thf(zip_derived_cl992, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt, X4 : arrow_1389031998le_alt, 91.86/12.66 X6 : list_A1402527603le_alt]: 91.86/12.66 (((((append1092755459le_alt @ X2 @ 91.86/12.66 (cons_A1142416030le_alt @ X4 @ nil_Ar52383470le_alt)) = (X6))) <=> 91.86/12.66 (((((last_A2130988295le_alt @ X6) = (X4))) & 91.86/12.66 (((butlas1188620858le_alt @ X6) = (X2))) & 91.86/12.66 (((X6) != (nil_Ar52383470le_alt)))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl991])). 91.86/12.66 thf(zip_derived_cl993, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt, X4 : arrow_1389031998le_alt, 91.86/12.66 X6 : list_A1402527603le_alt]: 91.86/12.66 ((((append1092755459le_alt @ X2 @ 91.86/12.66 (cons_A1142416030le_alt @ X4 @ nil_Ar52383470le_alt)) = (X6))) 91.86/12.66 = (((((last_A2130988295le_alt @ X6) = (X4))) & 91.86/12.66 (((butlas1188620858le_alt @ X6) = (X2))) & 91.86/12.66 (((X6) != (nil_Ar52383470le_alt))))))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl992])). 91.86/12.66 thf(fact_321_mem__def, axiom, 91.86/12.66 (![X_102:( produc1572197287le_alt > $o ), 91.86/12.66 A_36:( ( produc1572197287le_alt > $o ) > $o )]: 91.86/12.66 ( ( member1241905979_alt_o @ X_102 @ A_36 ) <=> ( A_36 @ X_102 ) ))). 91.86/12.66 thf(zip_derived_cl31, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : produc1572197287le_alt > $o]: 91.86/12.66 (((!!) @ (^[Y1 : (produc1572197287le_alt > $o) > $o]: 91.86/12.66 (((member1241905979_alt_o @ Y0 @ Y1) <=> (Y1 @ 91.86/12.66 Y0)))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_321_mem__def])). 91.86/12.66 thf(zip_derived_cl32, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (<=>))) @ 91.86/12.66 member1241905979_alt_o)))) @ 91.86/12.66 ((('#C') @ ('#I')))))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl31])). 91.86/12.66 thf(zip_derived_cl576, plain, 91.86/12.66 (![X2 : produc1572197287le_alt > $o]: 91.86/12.66 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ (member1241905979_alt_o @ X2))) @ 91.86/12.66 ((('#C') @ ('#I') @ X2))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 91.86/12.66 thf(zip_derived_cl577, plain, 91.86/12.66 (![X2 : produc1572197287le_alt > $o, 91.86/12.66 X4 : (produc1572197287le_alt > $o) > $o]: 91.86/12.66 (((member1241905979_alt_o @ X2 @ X4) <=> (X4 @ X2)))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl576])). 91.86/12.66 thf(zip_derived_cl578, plain, 91.86/12.66 (![X2 : produc1572197287le_alt > $o, 91.86/12.66 X4 : (produc1572197287le_alt > $o) > $o]: 91.86/12.66 ((member1241905979_alt_o @ X2 @ X4) = (X4 @ X2))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl577])). 91.86/12.66 thf(fact_319_mem__def, axiom, 91.86/12.66 (![X_102:produc1572197287le_alt,A_36:( produc1572197287le_alt > $o )]: 91.86/12.66 ( ( A_36 @ X_102 ) <=> ( member285112084le_alt @ X_102 @ A_36 ) ))). 91.86/12.66 thf(zip_derived_cl10, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : produc1572197287le_alt]: 91.86/12.66 (((!!) @ (^[Y1 : produc1572197287le_alt > $o]: 91.86/12.66 (((Y1 @ Y0) <=> (member285112084le_alt @ Y0 @ 91.86/12.66 Y1)))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_319_mem__def])). 91.86/12.66 thf(zip_derived_cl11, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (<=>))) @ 91.86/12.66 ((('#C') @ ('#I'))))))) @ 91.86/12.66 member285112084le_alt))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl10])). 91.86/12.66 thf(zip_derived_cl474, plain, 91.86/12.66 (![X2 : produc1572197287le_alt]: 91.86/12.66 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ ((('#C') @ ('#I') @ X2)))) @ 91.86/12.66 (member285112084le_alt @ X2)))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 91.86/12.66 thf(zip_derived_cl475, plain, 91.86/12.66 (![X2 : produc1572197287le_alt, X4 : produc1572197287le_alt > $o]: 91.86/12.66 (((X4 @ X2) <=> (member285112084le_alt @ X2 @ X4)))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl474])). 91.86/12.66 thf(zip_derived_cl476, plain, 91.86/12.66 (![X2 : produc1572197287le_alt, X4 : produc1572197287le_alt > $o]: 91.86/12.66 ((X4 @ X2) = (member285112084le_alt @ X2 @ X4))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl475])). 91.86/12.66 thf(fact_725_last__in__set, axiom, 91.86/12.66 (![As:list_A1402527603le_alt]: 91.86/12.66 ( ( ( As ) != ( nil_Ar52383470le_alt ) ) => 91.86/12.66 ( member998036369le_alt @ 91.86/12.66 ( last_A2130988295le_alt @ As ) @ ( set_Ar1491127311le_alt @ As ) ) ))). 91.86/12.66 thf(zip_derived_cl260, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : list_A1402527603le_alt]: 91.86/12.66 (((((Y0) != (nil_Ar52383470le_alt))) => 91.86/12.66 (member998036369le_alt @ (last_A2130988295le_alt @ Y0) @ 91.86/12.66 (set_Ar1491127311le_alt @ Y0)))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_725_last__in__set])). 91.86/12.66 thf(zip_derived_cl261, plain, 91.86/12.66 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 91.86/12.66 ((('#C') @ (!=) @ nil_Ar52383470le_alt)))) @ 91.86/12.66 ((('#S') @ ((('#B') @ member998036369le_alt @ 91.86/12.66 last_A2130988295le_alt)) @ 91.86/12.66 set_Ar1491127311le_alt))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl260])). 91.86/12.66 thf(zip_derived_cl497, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt]: 91.86/12.66 (((((X2) != (nil_Ar52383470le_alt))) => (member998036369le_alt @ 91.86/12.66 (last_A2130988295le_alt @ X2) @ (set_Ar1491127311le_alt @ X2))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl261])). 91.86/12.66 thf(zip_derived_cl498, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt]: 91.86/12.66 (~ (((X2) != (nil_Ar52383470le_alt))) 91.86/12.66 | (member998036369le_alt @ (last_A2130988295le_alt @ X2) @ 91.86/12.66 (set_Ar1491127311le_alt @ X2)))), 91.86/12.66 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl497])). 91.86/12.66 thf(zip_derived_cl499, plain, 91.86/12.66 (![X2 : list_A1402527603le_alt]: 91.86/12.66 (((X2) = (nil_Ar52383470le_alt)) 91.86/12.66 | (member998036369le_alt @ (last_A2130988295le_alt @ X2) @ 91.86/12.66 (set_Ar1491127311le_alt @ X2)))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl498])). 91.86/12.66 thf(fact_316_mem__def, axiom, 91.86/12.66 (![X_102:arrow_1389031998le_alt,A_36:( arrow_1389031998le_alt > $o )]: 91.86/12.66 ( ( A_36 @ X_102 ) <=> ( member998036369le_alt @ X_102 @ A_36 ) ))). 91.86/12.66 thf(zip_derived_cl49, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ (^[Y1 : arrow_1389031998le_alt > $o]: 91.86/12.66 (((Y1 @ Y0) <=> (member998036369le_alt @ Y0 @ 91.86/12.66 Y1)))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_316_mem__def])). 91.86/12.66 thf(zip_derived_cl50, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (<=>))) @ 91.86/12.66 ((('#C') @ ('#I'))))))) @ 91.86/12.66 member998036369le_alt))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl49])). 91.86/12.66 thf(zip_derived_cl579, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ ((('#C') @ ('#I') @ X2)))) @ 91.86/12.66 (member998036369le_alt @ X2)))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl50])). 91.86/12.66 thf(zip_derived_cl580, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt > $o]: 91.86/12.66 (((X4 @ X2) <=> (member998036369le_alt @ X2 @ X4)))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl579])). 91.86/12.66 thf(zip_derived_cl581, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt > $o]: 91.86/12.66 ((X4 @ X2) = (member998036369le_alt @ X2 @ X4))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl580])). 91.86/12.66 thf(fact_708_distinct_Osimps_I2_J, axiom, 91.86/12.66 (![X_31:arrow_1389031998le_alt,Xs_29:list_A1402527603le_alt]: 91.86/12.66 ( ( distin1149997281le_alt @ ( cons_A1142416030le_alt @ X_31 @ Xs_29 ) ) <=> 91.86/12.66 ( ( distin1149997281le_alt @ Xs_29 ) & 91.86/12.66 ( ~( member998036369le_alt @ X_31 @ ( set_Ar1491127311le_alt @ Xs_29 ) ) ) ) ))). 91.86/12.66 thf(zip_derived_cl194, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ (^[Y1 : list_A1402527603le_alt]: 91.86/12.66 (((distin1149997281le_alt @ 91.86/12.66 (cons_A1142416030le_alt @ Y0 @ Y1)) <=> 91.86/12.66 (((distin1149997281le_alt @ Y1) & 91.86/12.66 (((~) @ (member998036369le_alt @ Y0 @ 91.86/12.66 (set_Ar1491127311le_alt @ Y1))))))))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_708_distinct_Osimps_I2_J])). 91.86/12.66 thf(zip_derived_cl195, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (<=>))) @ 91.86/12.66 ((('#B') @ ((('#B') @ distin1149997281le_alt)) @ 91.86/12.66 cons_A1142416030le_alt)))))) @ 91.86/12.66 ((('#B') @ ((('#S') @ ((('#B') @ (&) @ 91.86/12.66 distin1149997281le_alt)))) @ 91.86/12.66 ((('#B') @ ((('#B') @ (~))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#B') @ member998036369le_alt)) @ 91.86/12.66 set_Ar1491127311le_alt))))))))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl194])). 91.86/12.66 thf(zip_derived_cl760, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 91.86/12.66 ((('#B') @ distin1149997281le_alt @ 91.86/12.66 (cons_A1142416030le_alt @ X2))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ (&) @ distin1149997281le_alt)) @ 91.86/12.66 ((('#B') @ (~) @ 91.86/12.66 ((('#B') @ (member998036369le_alt @ X2) @ 91.86/12.66 set_Ar1491127311le_alt))))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl195])). 91.86/12.66 thf(zip_derived_cl761, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 91.86/12.66 (((distin1149997281le_alt @ (cons_A1142416030le_alt @ X2 @ X4)) <=> 91.86/12.66 (((distin1149997281le_alt @ X4) & 91.86/12.66 (((~) @ (member998036369le_alt @ X2 @ 91.86/12.66 (set_Ar1491127311le_alt @ X4))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl760])). 91.86/12.66 thf(zip_derived_cl762, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 91.86/12.66 ((distin1149997281le_alt @ (cons_A1142416030le_alt @ X2 @ X4)) 91.86/12.66 = (((distin1149997281le_alt @ X4) & 91.86/12.66 (((~) @ (member998036369le_alt @ X2 @ 91.86/12.66 (set_Ar1491127311le_alt @ X4)))))))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl761])). 91.86/12.66 thf(zip_derived_cl581, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt > $o]: 91.86/12.66 ((X4 @ X2) = (member998036369le_alt @ X2 @ X4))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl580])). 91.86/12.66 thf(zip_derived_cl763, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 91.86/12.66 ((distin1149997281le_alt @ (cons_A1142416030le_alt @ X2 @ X4)) 91.86/12.66 = (((distin1149997281le_alt @ X4) & 91.86/12.66 (((~) @ (set_Ar1491127311le_alt @ X4 @ X2))))))), 91.86/12.66 inference('demod', [status(thm)], [zip_derived_cl762, zip_derived_cl581])). 91.86/12.66 thf(conj_0, conjecture, 91.86/12.66 (![I:arrow_1196572341e_indi]: 91.86/12.66 ( ( member285112084le_alt @ ( produc897867031le_alt @ a @ b ) @ ( p @ I ) ) <=> 91.86/12.66 ( member285112084le_alt @ 91.86/12.66 ( produc897867031le_alt @ a @ c ) @ 91.86/12.66 ( arrow_1865170000_below @ ( p @ I ) @ c @ b ) ) ))). 91.86/12.66 thf(zf_stmt_0, negated_conjecture, 91.86/12.66 (~( ![I:arrow_1196572341e_indi]: 91.86/12.66 ( ( member285112084le_alt @ 91.86/12.66 ( produc897867031le_alt @ a @ b ) @ ( p @ I ) ) <=> 91.86/12.66 ( member285112084le_alt @ 91.86/12.66 ( produc897867031le_alt @ a @ c ) @ 91.86/12.66 ( arrow_1865170000_below @ ( p @ I ) @ c @ b ) ) ) )), 91.86/12.66 inference('cnf.neg', [status(esa)], [conj_0])). 91.86/12.66 thf(zip_derived_cl401, plain, 91.86/12.66 (~ (((!!) @ (^[Y0 : arrow_1196572341e_indi]: 91.86/12.66 (((member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ a @ b) @ (p @ Y0)) <=> 91.86/12.66 (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ a @ c) @ 91.86/12.66 (arrow_1865170000_below @ (p @ Y0) @ c @ b)))))))), 91.86/12.66 inference('cnf', [status(esa)], [zf_stmt_0])). 91.86/12.66 thf(zip_derived_cl402, plain, 91.86/12.66 (~ (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 91.86/12.66 ((('#B') @ (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ a @ b)) @ 91.86/12.66 p)))) @ 91.86/12.66 ((('#B') @ (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ a @ c)) @ 91.86/12.66 ((('#C') @ ((('#C') @ ((('#B') @ arrow_1865170000_below @ 91.86/12.66 p)) @ 91.86/12.66 c)) @ 91.86/12.66 b))))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl401])). 91.86/12.66 thf(zip_derived_cl462, plain, 91.86/12.66 (~ (((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ 91.86/12.66 (p @ '#sk11')) <=> (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ a @ c) @ 91.86/12.66 (arrow_1865170000_below @ (p @ '#sk11') @ c @ b))))), 91.86/12.66 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl402])). 91.86/12.66 thf(zip_derived_cl463, plain, 91.86/12.66 (((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ 91.86/12.66 (p @ '#sk11')) 91.86/12.66 != (member285112084le_alt @ (produc897867031le_alt @ a @ c) @ 91.86/12.66 (arrow_1865170000_below @ (p @ '#sk11') @ c @ b)))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl462])). 91.86/12.66 thf(zip_derived_cl476, plain, 91.86/12.66 (![X2 : produc1572197287le_alt, X4 : produc1572197287le_alt > $o]: 91.86/12.66 ((X4 @ X2) = (member285112084le_alt @ X2 @ X4))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl475])). 91.86/12.66 thf(zip_derived_cl476, plain, 91.86/12.66 (![X2 : produc1572197287le_alt, X4 : produc1572197287le_alt > $o]: 91.86/12.66 ((X4 @ X2) = (member285112084le_alt @ X2 @ X4))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl475])). 91.86/12.66 thf(zip_derived_cl477, plain, 91.86/12.66 (((p @ '#sk11' @ (produc897867031le_alt @ a @ b)) 91.86/12.66 != (arrow_1865170000_below @ (p @ '#sk11') @ c @ b @ 91.86/12.66 (produc897867031le_alt @ a @ c)))), 91.86/12.66 inference('demod', [status(thm)], 91.86/12.66 [zip_derived_cl463, zip_derived_cl476, zip_derived_cl476])). 91.86/12.66 thf(fact_376_UNIV__I, axiom, 91.86/12.66 (![X_90:arrow_1196572341e_indi]: 91.86/12.66 ( member1818997282e_indi @ X_90 @ top_to54564308indi_o ))). 91.86/12.66 thf(zip_derived_cl230, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi]: 91.86/12.66 (member1818997282e_indi @ Y0 @ top_to54564308indi_o))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_376_UNIV__I])). 91.86/12.66 thf(zip_derived_cl231, plain, 91.86/12.66 ( (((!!) @ ((('#C') @ member1818997282e_indi @ top_to54564308indi_o))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl230])). 91.86/12.66 thf(zip_derived_cl416, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi]: 91.86/12.66 (member1818997282e_indi @ X2 @ top_to54564308indi_o)), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl231])). 91.86/12.66 thf(fact_12_in__below, axiom, 91.86/12.66 (![X:arrow_1389031998le_alt,Y:arrow_1389031998le_alt, 91.86/12.66 L_4:( produc1572197287le_alt > $o ),A:arrow_1389031998le_alt, 91.86/12.66 B:arrow_1389031998le_alt]: 91.86/12.66 ( ( ( A ) != ( B ) ) => 91.86/12.66 ( ( member1241905979_alt_o @ L_4 @ arrow_1982173296le_Lin ) => 91.86/12.66 ( ( member285112084le_alt @ 91.86/12.66 ( produc897867031le_alt @ X @ Y ) @ 91.86/12.66 ( arrow_1865170000_below @ L_4 @ A @ B ) ) <=> 91.86/12.66 ( ( ( X ) != ( Y ) ) & 91.86/12.66 ( ( ( Y ) != ( A ) ) => 91.86/12.66 ( ( ( ( X ) = ( A ) ) => 91.86/12.66 ( ( member285112084le_alt @ 91.86/12.66 ( produc897867031le_alt @ B @ Y ) @ L_4 ) | 91.86/12.66 ( ( Y ) = ( B ) ) ) ) & 91.86/12.66 ( ( ( X ) != ( A ) ) => 91.86/12.66 ( member285112084le_alt @ 91.86/12.66 ( produc897867031le_alt @ X @ Y ) @ L_4 ) ) ) ) & 91.86/12.66 ( ( ( Y ) = ( A ) ) => 91.86/12.66 ( member285112084le_alt @ 91.86/12.66 ( produc897867031le_alt @ X @ B ) @ L_4 ) ) ) ) ) ))). 91.86/12.66 thf(zip_derived_cl310, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ (^[Y1 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ (^[Y2 : produc1572197287le_alt > $o]: 91.86/12.66 (((!!) @ (^[Y3 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ (^[Y4 : arrow_1389031998le_alt]: 91.86/12.66 (((( 91.86/12.66 (Y3) != 91.86/12.66 (Y4))) => 91.86/12.66 (( 91.86/12.66 (member1241905979_alt_o @ 91.86/12.66 Y2 @ 91.86/12.66 arrow_1982173296le_Lin) => 91.86/12.66 (( 91.86/12.66 (member285112084le_alt @ 91.86/12.66 ( 91.86/12.66 produc897867031le_alt @ 91.86/12.66 Y0 @ Y1) @ 91.86/12.66 ( 91.86/12.66 arrow_1865170000_below @ 91.86/12.66 Y2 @ 91.86/12.66 Y3 @ Y4)) <=> 91.86/12.66 (( 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 (Y0) != 91.86/12.66 (Y1))) & 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 (( 91.86/12.66 (Y1) != 91.86/12.66 (Y3))) => 91.86/12.66 (( 91.86/12.66 (( 91.86/12.66 (( 91.86/12.66 (Y0) = 91.86/12.66 (Y3))) => 91.86/12.66 (( 91.86/12.66 (member285112084le_alt @ 91.86/12.66 ( 91.86/12.66 produc897867031le_alt @ 91.86/12.66 Y4 @ Y1) @ 91.86/12.66 Y2) | 91.86/12.66 (( 91.86/12.66 (Y1) = 91.86/12.66 (Y4))))))) & 91.86/12.66 (( 91.86/12.66 (( 91.86/12.66 (Y0) != 91.86/12.66 (Y3))) => 91.86/12.66 (member285112084le_alt @ 91.86/12.66 ( 91.86/12.66 produc897867031le_alt @ 91.86/12.66 Y0 @ Y1) @ 91.86/12.66 Y2))))))) & 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 (( 91.86/12.66 (Y1) = 91.86/12.66 (Y3))) => 91.86/12.66 (member285112084le_alt @ 91.86/12.66 ( 91.86/12.66 produc897867031le_alt @ 91.86/12.66 Y0 @ Y4) @ 91.86/12.66 Y2))))))))))))))))))))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_12_in__below])). 91.86/12.66 thf(zip_derived_cl311, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#B') @ ((('#B') @ (!!))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (!!))))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ ((('#S') @ (( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#S') @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 =>))) @ 91.86/12.66 ( 91.86/12.66 !=))))))))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 =>) @ 91.86/12.66 ((('#C') @ member1241905979_alt_o @ 91.86/12.66 arrow_1982173296le_Lin)))))))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#S'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ ( 91.86/12.66 '#S'))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#S'))))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 (('#B') @ (<=>))))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ( 91.86/12.66 '#C') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#B'))) @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#B'))) @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#B'))) @ 91.86/12.66 (( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ member285112084le_alt)) @ 91.86/12.66 produc897867031le_alt)))))))))) @ 91.86/12.66 arrow_1865170000_below)))))))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#S'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ ( 91.86/12.66 '#S'))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 (('#B') @ ('#S'))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ( 91.86/12.66 '#S') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#B'))) @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#B'))) @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#B'))) @ 91.86/12.66 (( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 &))) @ 91.86/12.66 ( 91.86/12.66 !=))))))))))) @ 91.86/12.66 ((('#B') @ ((('#S') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 '#S') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#B'))) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 =>))) @ 91.86/12.66 ( 91.86/12.66 !=))))))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ( 91.86/12.66 '#S') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#S'))) @ 91.86/12.66 (( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#S'))))) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#C'))))))) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 &))))))))) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#C') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#C') @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#B'))) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 =>))) @ 91.86/12.66 ( 91.86/12.66 =))))))))))) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#S') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#C') @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#S'))) @ 91.86/12.66 ( 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91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ('#B'))) @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ (=>))) @ 91.86/12.66 (=))))))))))) @ 91.86/12.66 ((('#B') @ ('#C') @ 91.86/12.66 ((('#B') @ ((('#B') @ member285112084le_alt)) @ 91.86/12.66 produc897867031le_alt))))))))))))))))))))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl310])). 91.86/12.66 thf(zip_derived_cl1284, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#B') @ ((('#B') @ (!!))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ (=>))) @ 91.86/12.66 (!=))))))))) @ 91.86/12.66 ((('#B') @ ((('#S') @ ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ (=>) @ 91.86/12.66 ((('#C') @ member1241905979_alt_o @ 91.86/12.66 arrow_1982173296le_Lin)))))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#S'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ ( 91.86/12.66 '#S'))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 <=>))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ((('#B') @ member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ 91.86/12.66 X2))))))))) @ 91.86/12.66 arrow_1865170000_below)))))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#S'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ ( 91.86/12.66 '#S'))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 &) @ 91.86/12.66 (((arrow_1389031998le_alt) != 91.86/12.66 (X2))))))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 '#S') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#B'))) @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 =>))) @ 91.86/12.66 (!=))))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ( 91.86/12.66 '#S') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#S'))) @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#C'))))) @ 91.86/12.66 (( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 &))))))) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#C') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 =>) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 (arrow_1389031998le_alt) = 91.86/12.66 (X2))))))))))) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#S') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#C') @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#S'))) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 |))))) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 '#C') @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ member285112084le_alt)) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#C') @ produc897867031le_alt)))))))))))) @ 91.86/12.66 ( 91.86/12.66 =))))))))))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ( 91.86/12.66 (('#C') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 =>) @ 91.86/12.66 (( 91.86/12.66 (arrow_1389031998le_alt) != 91.86/12.66 (X2))))))))) @ 91.86/12.66 ((('#B') @ member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ 91.86/12.66 X2))))))))))))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ ('#C') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#B'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ (=>))) @ 91.86/12.66 (=))))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2)))))))))))))))))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl311])). 91.86/12.66 thf(zip_derived_cl1285, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#B') @ ((('#B') @ (!!))) @ 91.86/12.66 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (=>))) @ 91.86/12.66 (!=))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ (=>) @ 91.86/12.66 ((('#C') @ member1241905979_alt_o @ 91.86/12.66 arrow_1982173296le_Lin)))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#S'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ ( 91.86/12.66 <=>))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ ( 91.86/12.66 member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ 91.86/12.66 X2 @ X4)))))) @ 91.86/12.66 arrow_1865170000_below)))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#S'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ ( 91.86/12.66 ((&) @ ( 91.86/12.66 ((X2) != 91.86/12.66 (X4))))))))) @ 91.86/12.66 ((('#B') @ ((('#S') @ ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 =>) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 (arrow_1389031998le_alt) != 91.86/12.66 (X4))))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ( 91.86/12.66 '#S') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ('#C'))) @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 (('#B') @ (&))))) @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 (('#C') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 (( 91.86/12.66 ('#B') @ ( 91.86/12.66 =>) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 (arrow_1389031998le_alt) = 91.86/12.66 (X2))))))))) @ 91.86/12.66 ((('#C') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#S') @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ ( 91.86/12.66 |))) @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#C') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ member285112084le_alt @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#C') @ produc897867031le_alt @ 91.86/12.66 X4)))))))))) @ 91.86/12.66 (( 91.86/12.66 (arrow_1389031998le_alt) = 91.86/12.66 (X4))))))))))))) @ 91.86/12.66 ((('#B') @ ((('#C') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 =>) @ 91.86/12.66 (((arrow_1389031998le_alt) != 91.86/12.66 (X2))))))) @ 91.86/12.66 (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ 91.86/12.66 X2 @ X4)))))))))))))) @ 91.86/12.66 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ (=>) @ 91.86/12.66 (((arrow_1389031998le_alt) = 91.86/12.66 (X4))))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2)))))))))))))))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1284])). 91.86/12.66 thf(zip_derived_cl1286, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 91.86/12.66 X6 : produc1572197287le_alt > $o]: 91.86/12.66 (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (=>))) @ (!=))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ (((=>) @ (member1241905979_alt_o @ 91.86/12.66 X6 @ 91.86/12.66 arrow_1982173296le_Lin))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (<=>))) @ 91.86/12.66 ((('#B') @ ((('#B') @ (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ 91.86/12.66 X2 @ X4)))) @ 91.86/12.66 (arrow_1865170000_below @ X6))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (((&) @ ( 91.86/12.66 ((X2) != (X4))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ (=>) @ 91.86/12.66 (((arrow_1389031998le_alt) != 91.86/12.66 (X4))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#C') @ 91.86/12.66 ((('#B') @ ((('#B') @ ( 91.86/12.66 &))) @ 91.86/12.66 ((('#C') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 =>) @ 91.86/12.66 (((arrow_1389031998le_alt) = 91.86/12.66 (X2))))))) @ 91.86/12.66 ((('#S') @ ( 91.86/12.66 (('#B') @ ( 91.86/12.66 |) @ 91.86/12.66 ((('#C') @ ( 91.86/12.66 (('#B') @ member285112084le_alt @ 91.86/12.66 ((('#C') @ produc897867031le_alt @ 91.86/12.66 X4)))) @ 91.86/12.66 X6)))) @ 91.86/12.66 (((arrow_1389031998le_alt) = 91.86/12.66 (X4))))))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ (=>) @ 91.86/12.66 (((arrow_1389031998le_alt) != 91.86/12.66 (X2))))) @ 91.86/12.66 (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ 91.86/12.66 X4) @ 91.86/12.66 X6))))))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ (=>) @ 91.86/12.66 (((arrow_1389031998le_alt) = (X4))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2))) @ 91.86/12.66 X6))))))))))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1285])). 91.86/12.66 thf(zip_derived_cl1287, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 91.86/12.66 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt]: 91.86/12.66 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 91.86/12.66 (((arrow_1389031998le_alt) != (X8))))) @ 91.86/12.66 ((('#B') @ (((=>) @ (member1241905979_alt_o @ X6 @ 91.86/12.66 arrow_1982173296le_Lin))) @ 91.86/12.66 ((('#S') @ ((('#B') @ (<=>) @ 91.86/12.66 ((('#B') @ (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ 91.86/12.66 X4)) @ 91.86/12.66 (arrow_1865170000_below @ X6 @ X8))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ (((&) @ (((X2) != (X4))))) @ 91.86/12.66 ((('#B') @ (((=>) @ (((X4) != (X8))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ (&) @ 91.86/12.66 ((('#B') @ (((=>) @ ( 91.86/12.66 ((X2) = (X8))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ( 91.86/12.66 |) @ 91.86/12.66 ((('#C') @ ( 91.86/12.66 ( 91.86/12.66 ('#B') @ member285112084le_alt @ 91.86/12.66 ( 91.86/12.66 ( 91.86/12.66 ('#C') @ produc897867031le_alt @ 91.86/12.66 X4)))) @ 91.86/12.66 X6)))) @ 91.86/12.66 (((arrow_1389031998le_alt) = 91.86/12.66 (X4))))))))) @ 91.86/12.66 (((((X2) != (X8))) => 91.86/12.66 (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X4) @ 91.86/12.66 X6))))))))) @ 91.86/12.66 ((('#B') @ (((=>) @ (((X4) = (X8))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2))) @ 91.86/12.66 X6))))))))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1286])). 91.86/12.66 thf(zip_derived_cl1288, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 91.86/12.66 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt, 91.86/12.66 X10 : arrow_1389031998le_alt]: 91.86/12.66 (((((X8) != (X10))) => 91.86/12.66 (((member1241905979_alt_o @ X6 @ arrow_1982173296le_Lin) => 91.86/12.66 (((member285112084le_alt @ (produc897867031le_alt @ X2 @ X4) @ 91.86/12.66 (arrow_1865170000_below @ X6 @ X8 @ X10)) <=> 91.86/12.66 (((((X2) != (X4))) & 91.86/12.66 (((((X4) != (X8))) => 91.86/12.66 (((((((X2) = (X8))) => 91.86/12.66 (((member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X10 @ X4) @ X6) | 91.86/12.66 (((X4) = (X10))))))) & 91.86/12.66 (((((X2) != (X8))) => (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X4) @ X6))))))) & 91.86/12.66 (((((X4) = (X8))) => (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X10) @ X6)))))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1287])). 91.86/12.66 thf(zip_derived_cl578, plain, 91.86/12.66 (![X2 : produc1572197287le_alt > $o, 91.86/12.66 X4 : (produc1572197287le_alt > $o) > $o]: 91.86/12.66 ((member1241905979_alt_o @ X2 @ X4) = (X4 @ X2))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl577])). 91.86/12.66 thf(zip_derived_cl476, plain, 91.86/12.66 (![X2 : produc1572197287le_alt, X4 : produc1572197287le_alt > $o]: 91.86/12.66 ((X4 @ X2) = (member285112084le_alt @ X2 @ X4))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl475])). 91.86/12.66 thf(zip_derived_cl1289, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 91.86/12.66 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt, 91.86/12.66 X10 : arrow_1389031998le_alt]: 91.86/12.66 (((((X8) != (X10))) => 91.86/12.66 (((arrow_1982173296le_Lin @ X6) => 91.86/12.66 (((arrow_1865170000_below @ X6 @ X8 @ X10 @ 91.86/12.66 (produc897867031le_alt @ X2 @ X4)) <=> 91.86/12.66 (((((X2) != (X4))) & 91.86/12.66 (((((X4) != (X8))) => 91.86/12.66 (((((((X2) = (X8))) => 91.86/12.66 (((member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X10 @ X4) @ X6) | 91.86/12.66 (((X4) = (X10))))))) & 91.86/12.66 (((((X2) != (X8))) => (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X4) @ X6))))))) & 91.86/12.66 (((((X4) = (X8))) => (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X10) @ X6)))))))))))), 91.86/12.66 inference('demod', [status(thm)], 91.86/12.66 [zip_derived_cl1288, zip_derived_cl578, zip_derived_cl476])). 91.86/12.66 thf(zip_derived_cl1290, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 91.86/12.66 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt, 91.86/12.66 X10 : arrow_1389031998le_alt]: 91.86/12.66 (~ (((X8) != (X10))) 91.86/12.66 | (((arrow_1982173296le_Lin @ X6) => 91.86/12.66 (((arrow_1865170000_below @ X6 @ X8 @ X10 @ 91.86/12.66 (produc897867031le_alt @ X2 @ X4)) <=> 91.86/12.66 (((((X2) != (X4))) & 91.86/12.66 (((((X4) != (X8))) => 91.86/12.66 (((((((X2) = (X8))) => 91.86/12.66 (((member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X10 @ X4) @ X6) | 91.86/12.66 (((X4) = (X10))))))) & 91.86/12.66 (((((X2) != (X8))) => (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X4) @ X6))))))) & 91.86/12.66 (((((X4) = (X8))) => (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X10) @ X6))))))))))), 91.86/12.66 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1289])). 91.86/12.66 thf(zip_derived_cl1291, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 91.86/12.66 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt, 91.86/12.66 X10 : arrow_1389031998le_alt]: 91.86/12.66 (((X8) = (X10)) 91.86/12.66 | (((arrow_1982173296le_Lin @ X6) => 91.86/12.66 (((arrow_1865170000_below @ X6 @ X8 @ X10 @ 91.86/12.66 (produc897867031le_alt @ X2 @ X4)) <=> 91.86/12.66 (((((X2) != (X4))) & 91.86/12.66 (((((X4) != (X8))) => 91.86/12.66 (((((((X2) = (X8))) => 91.86/12.66 (((member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X10 @ X4) @ X6) | 91.86/12.66 (((X4) = (X10))))))) & 91.86/12.66 (((((X2) != (X8))) => (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X4) @ X6))))))) & 91.86/12.66 (((((X4) = (X8))) => (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X10) @ X6))))))))))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl1290])). 91.86/12.66 thf(zip_derived_cl1292, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 91.86/12.66 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt, 91.86/12.66 X10 : arrow_1389031998le_alt]: 91.86/12.66 (~ (arrow_1982173296le_Lin @ X6) 91.86/12.66 | (((arrow_1865170000_below @ X6 @ X8 @ X10 @ 91.86/12.66 (produc897867031le_alt @ X2 @ X4)) <=> 91.86/12.66 (((((X2) != (X4))) & 91.86/12.66 (((((X4) != (X8))) => 91.86/12.66 (((((((X2) = (X8))) => 91.86/12.66 (((member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X10 @ X4) @ X6) | 91.86/12.66 (((X4) = (X10))))))) & 91.86/12.66 (((((X2) != (X8))) => (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X4) @ X6))))))) & 91.86/12.66 (((((X4) = (X8))) => (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X10) @ X6))))))) 91.86/12.66 | ((X8) = (X10)))), 91.86/12.66 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1291])). 91.86/12.66 thf(zip_derived_cl1293, plain, 91.86/12.66 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 91.86/12.66 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt, 91.86/12.66 X10 : arrow_1389031998le_alt]: 91.86/12.66 (~ (arrow_1982173296le_Lin @ X6) 91.86/12.66 | ((arrow_1865170000_below @ X6 @ X8 @ X10 @ 91.86/12.66 (produc897867031le_alt @ X2 @ X4)) 91.86/12.66 = (((((X2) != (X4))) & 91.86/12.66 (((((X4) != (X8))) => 91.86/12.66 (((((((X2) = (X8))) => 91.86/12.66 (((member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X10 @ X4) @ X6) | 91.86/12.66 (((X4) = (X10))))))) & 91.86/12.66 (((((X2) != (X8))) => (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X4) @ X6))))))) & 91.86/12.66 (((((X4) = (X8))) => (member285112084le_alt @ 91.86/12.66 (produc897867031le_alt @ X2 @ X10) @ X6)))))) 91.86/12.66 | ((X8) = (X10)))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl1292])). 91.86/12.66 thf(fact_320_mem__def, axiom, 91.86/12.66 (![X_102:( arrow_1196572341e_indi > produc1572197287le_alt > $o ), 91.86/12.66 A_36:( ( arrow_1196572341e_indi > produc1572197287le_alt > $o ) > $o )]: 91.86/12.66 ( ( member822980838_alt_o @ X_102 @ A_36 ) <=> ( A_36 @ X_102 ) ))). 91.86/12.66 thf(zip_derived_cl214, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi > produc1572197287le_alt > $o]: 91.86/12.66 (((!!) @ (^[Y1 : (arrow_1196572341e_indi > 91.86/12.66 produc1572197287le_alt > $o) > $o]: 91.86/12.66 (((member822980838_alt_o @ Y0 @ Y1) <=> (Y1 @ 91.86/12.66 Y0)))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_320_mem__def])). 91.86/12.66 thf(zip_derived_cl215, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (<=>))) @ 91.86/12.66 member822980838_alt_o)))) @ 91.86/12.66 ((('#C') @ ('#I')))))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl214])). 91.86/12.66 thf(zip_derived_cl613, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o]: 91.86/12.66 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ (member822980838_alt_o @ X2))) @ 91.86/12.66 ((('#C') @ ('#I') @ X2))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl215])). 91.86/12.66 thf(zip_derived_cl614, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 91.86/12.66 (((member822980838_alt_o @ X2 @ X4) <=> (X4 @ X2)))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl613])). 91.86/12.66 thf(zip_derived_cl615, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 91.86/12.66 ((member822980838_alt_o @ X2 @ X4) = (X4 @ X2))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl614])). 91.86/12.66 thf(fact_130_funcset__mem, axiom, 91.86/12.66 (![X_106:arrow_1196572341e_indi, 91.86/12.66 F_20:( arrow_1196572341e_indi > produc1572197287le_alt > $o ), 91.86/12.66 A_43:( arrow_1196572341e_indi > $o ), 91.86/12.66 B_34:( ( produc1572197287le_alt > $o ) > $o )]: 91.86/12.66 ( ( member822980838_alt_o @ 91.86/12.66 F_20 @ 91.86/12.66 ( pi_Arr1309696186_alt_o @ 91.86/12.66 A_43 @ ( ^[Uu:arrow_1196572341e_indi]: ( B_34 ) ) ) ) => 91.86/12.66 ( ( member1818997282e_indi @ X_106 @ A_43 ) => 91.86/12.66 ( member1241905979_alt_o @ ( F_20 @ X_106 ) @ B_34 ) ) ))). 91.86/12.66 thf(zip_derived_cl182, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi]: 91.86/12.66 (((!!) @ (^[Y1 : arrow_1196572341e_indi > 91.86/12.66 produc1572197287le_alt > $o]: 91.86/12.66 (((!!) @ (^[Y2 : arrow_1196572341e_indi > $o]: 91.86/12.66 (((!!) @ (^[Y3 : (produc1572197287le_alt > $o) > $o]: 91.86/12.66 (((member822980838_alt_o @ 91.86/12.66 Y1 @ 91.86/12.66 (pi_Arr1309696186_alt_o @ 91.86/12.66 Y2 @ 91.86/12.66 (^[Y4 : arrow_1196572341e_indi]: 91.86/12.66 (Y3)))) => 91.86/12.66 (((member1818997282e_indi @ 91.86/12.66 Y0 @ Y2) => 91.86/12.66 (member1241905979_alt_o @ 91.86/12.66 (Y1 @ Y0) @ Y3)))))))))))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_130_funcset__mem])). 91.86/12.66 thf(zip_derived_cl183, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#B') @ ((('#B') @ (!!))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 91.86/12.66 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#S'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ( 91.86/12.66 (('#B') @ (=>))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 member822980838_alt_o)))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ( 91.86/12.66 '#B') @ 91.86/12.66 pi_Arr1309696186_alt_o)) @ 91.86/12.66 ('#K'))))))))))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ ('#C') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#B'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ (=>))) @ 91.86/12.66 member1818997282e_indi)))))))) @ 91.86/12.66 ((('#B') @ ((('#B') @ member1241905979_alt_o)) @ 91.86/12.66 ((('#C') @ ('#I')))))))))))))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl182])). 91.86/12.66 thf(zip_derived_cl1087, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi]: 91.86/12.66 (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#B') @ ((('#B') @ (!!))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#S'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ ('#B') @ 91.86/12.66 member822980838_alt_o)))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#B') @ 91.86/12.66 pi_Arr1309696186_alt_o)) @ 91.86/12.66 ('#K'))))))))))) @ 91.86/12.66 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ (=>) @ 91.86/12.66 (member1818997282e_indi @ X2))))))) @ 91.86/12.66 ((('#B') @ member1241905979_alt_o @ 91.86/12.66 ((('#C') @ ('#I') @ X2))))))))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl183])). 91.86/12.66 thf(zip_derived_cl1088, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi, 91.86/12.66 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o]: 91.86/12.66 (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (=>))) @ 91.86/12.66 ((('#B') @ ((('#B') @ (member822980838_alt_o @ 91.86/12.66 X4))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#B') @ 91.86/12.66 pi_Arr1309696186_alt_o)) @ 91.86/12.66 ('#K'))))))))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ (=>) @ 91.86/12.66 (member1818997282e_indi @ X2))))) @ 91.86/12.66 (member1241905979_alt_o @ (X4 @ X2))))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1087])). 91.86/12.66 thf(zip_derived_cl1089, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi, 91.86/12.66 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X6 : arrow_1196572341e_indi > $o]: 91.86/12.66 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 91.86/12.66 ((('#B') @ (member822980838_alt_o @ X4) @ 91.86/12.66 ((('#B') @ (pi_Arr1309696186_alt_o @ X6) @ 91.86/12.66 ('#K'))))))) @ 91.86/12.66 ((('#B') @ (((=>) @ (member1818997282e_indi @ X2 @ X6))) @ 91.86/12.66 (member1241905979_alt_o @ (X4 @ X2))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1088])). 91.86/12.66 thf(zip_derived_cl1090, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi, 91.86/12.66 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X6 : arrow_1196572341e_indi > $o, 91.86/12.66 X8 : (produc1572197287le_alt > $o) > $o]: 91.86/12.66 (((member822980838_alt_o @ X4 @ 91.86/12.66 (pi_Arr1309696186_alt_o @ X6 @ ((('#K') @ X8)))) => 91.86/12.66 (((member1818997282e_indi @ X2 @ X6) => (member1241905979_alt_o @ 91.86/12.66 (X4 @ X2) @ X8)))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1089])). 91.86/12.66 thf(zip_derived_cl615, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 91.86/12.66 ((member822980838_alt_o @ X2 @ X4) = (X4 @ X2))), 91.86/12.66 inference('simplify nested equalities', [status(thm)], 91.86/12.66 [zip_derived_cl614])). 91.86/12.66 thf(zip_derived_cl1091, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi, 91.86/12.66 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X6 : arrow_1196572341e_indi > $o, 91.86/12.66 X8 : (produc1572197287le_alt > $o) > $o]: 91.86/12.66 (((pi_Arr1309696186_alt_o @ X6 @ ((('#K') @ X8)) @ X4) => 91.86/12.66 (((member1818997282e_indi @ X2 @ X6) => (member1241905979_alt_o @ 91.86/12.66 (X4 @ X2) @ X8)))))), 91.86/12.66 inference('demod', [status(thm)], [zip_derived_cl1090, zip_derived_cl615])). 91.86/12.66 thf(zip_derived_cl1092, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi, 91.86/12.66 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X6 : arrow_1196572341e_indi > $o, 91.86/12.66 X8 : (produc1572197287le_alt > $o) > $o]: 91.86/12.66 (~ (pi_Arr1309696186_alt_o @ X6 @ ((('#K') @ X8)) @ X4) 91.86/12.66 | (((member1818997282e_indi @ X2 @ X6) => (member1241905979_alt_o @ 91.86/12.66 (X4 @ X2) @ X8))))), 91.86/12.66 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1091])). 91.86/12.66 thf(zip_derived_cl1093, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi, 91.86/12.66 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X6 : arrow_1196572341e_indi > $o, 91.86/12.66 X8 : (produc1572197287le_alt > $o) > $o]: 91.86/12.66 (~ (member1818997282e_indi @ X2 @ X6) 91.86/12.66 | (member1241905979_alt_o @ (X4 @ X2) @ X8) 91.86/12.66 | ~ (pi_Arr1309696186_alt_o @ X6 @ ((('#K') @ X8)) @ X4))), 91.86/12.66 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1092])). 91.86/12.66 thf(zip_derived_cl7782, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi, 91.86/12.66 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X6 : arrow_1196572341e_indi > $o, 91.86/12.66 X8 : (produc1572197287le_alt > $o) > $o]: 91.86/12.66 (~ (member1818997282e_indi @ X2 @ X6) 91.86/12.66 | (member1241905979_alt_o @ (X4 @ X2) @ X8) 91.86/12.66 | ~ (pi_Arr1309696186_alt_o @ X6 @ ('#ty_enc64' @ X8) @ X4))), 91.86/12.66 inference('remove_ty_args', [status(thm)], [zip_derived_cl1093])). 91.86/12.66 thf(fact_0__096P_A_058_AProf_096, axiom, 91.86/12.66 (member822980838_alt_o @ p @ arrow_1647925946e_Prof)). 91.86/12.66 thf(zip_derived_cl73, plain, 91.86/12.66 ( (member822980838_alt_o @ p @ arrow_1647925946e_Prof)), 91.86/12.66 inference('cnf', [status(esa)], [fact_0__096P_A_058_AProf_096])). 91.86/12.66 thf(fact_340_Prof__def, axiom, 91.86/12.66 (( arrow_1647925946e_Prof ) = 91.86/12.66 ( pi_Arr1309696186_alt_o @ 91.86/12.66 top_to54564308indi_o @ 91.86/12.66 ( ^[Uu:arrow_1196572341e_indi]: ( arrow_1982173296le_Lin ) ) ))). 91.86/12.66 thf(zip_derived_cl296, plain, 91.86/12.66 (((arrow_1647925946e_Prof) 91.86/12.66 = (pi_Arr1309696186_alt_o @ top_to54564308indi_o @ 91.86/12.66 (^[Y0 : arrow_1196572341e_indi]: (arrow_1982173296le_Lin))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_340_Prof__def])). 91.86/12.66 thf(zip_derived_cl297, plain, 91.86/12.66 (((arrow_1647925946e_Prof) 91.86/12.66 = (pi_Arr1309696186_alt_o @ top_to54564308indi_o @ 91.86/12.66 ((('#K') @ arrow_1982173296le_Lin))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl296])). 91.86/12.66 thf(zip_derived_cl7766, plain, 91.86/12.66 (((arrow_1647925946e_Prof) 91.86/12.66 = (pi_Arr1309696186_alt_o @ top_to54564308indi_o @ 91.86/12.66 ('#ty_enc64' @ arrow_1982173296le_Lin)))), 91.86/12.66 inference('remove_ty_args', [status(thm)], [zip_derived_cl297])). 91.86/12.66 thf(fact_967_in__mono, axiom, 91.86/12.66 (![X_6:( arrow_1196572341e_indi > produc1572197287le_alt > $o ), 91.86/12.66 A_4:( ( arrow_1196572341e_indi > produc1572197287le_alt > $o ) > $o ), 91.86/12.66 B_1:( ( arrow_1196572341e_indi > produc1572197287le_alt > $o ) > $o )]: 91.86/12.66 ( ( ord_le602483040lt_o_o @ A_4 @ B_1 ) => 91.86/12.66 ( ( member822980838_alt_o @ X_6 @ A_4 ) => 91.86/12.66 ( member822980838_alt_o @ X_6 @ B_1 ) ) ))). 91.86/12.66 thf(zip_derived_cl63, plain, 91.86/12.66 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi > produc1572197287le_alt > $o]: 91.86/12.66 (((!!) @ (^[Y1 : (arrow_1196572341e_indi > 91.86/12.66 produc1572197287le_alt > $o) > $o]: 91.86/12.66 (((!!) @ (^[Y2 : (arrow_1196572341e_indi > 91.86/12.66 produc1572197287le_alt > $o) > $o]: 91.86/12.66 (((ord_le602483040lt_o_o @ Y1 @ 91.86/12.66 Y2) => 91.86/12.66 (((member822980838_alt_o @ Y0 @ 91.86/12.66 Y1) => 91.86/12.66 (member822980838_alt_o @ Y0 @ 91.86/12.66 Y2))))))))))))))), 91.86/12.66 inference('cnf', [status(esa)], [fact_967_in__mono])). 91.86/12.66 thf(zip_derived_cl64, plain, 91.86/12.66 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#B') @ ((('#B') @ (!!))) @ 91.86/12.66 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (=>))) @ 91.86/12.66 ord_le602483040lt_o_o)))))) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#C') @ 91.86/12.66 ((('#B') @ ((('#B') @ ('#B'))) @ 91.86/12.66 ((('#B') @ ((('#B') @ (=>))) @ 91.86/12.66 member822980838_alt_o)))))) @ 91.86/12.66 member822980838_alt_o))))))))))), 91.86/12.66 inference('lams2combs', [status(thm)], [zip_derived_cl63])). 91.86/12.66 thf(zip_derived_cl742, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o]: 91.86/12.66 (((!!) @ ((('#B') @ (!!) @ 91.86/12.66 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.66 ((('#B') @ ((('#B') @ (=>))) @ 91.86/12.66 ord_le602483040lt_o_o)))) @ 91.86/12.66 ((('#C') @ ((('#B') @ ('#B') @ 91.86/12.66 ((('#B') @ (=>) @ 91.86/12.66 (member822980838_alt_o @ X2))))) @ 91.86/12.66 (member822980838_alt_o @ X2)))))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl64])). 91.86/12.66 thf(zip_derived_cl743, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 91.86/12.66 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (ord_le602483040lt_o_o @ X4))) @ 91.86/12.66 ((('#B') @ (((=>) @ (member822980838_alt_o @ X2 @ X4))) @ 91.86/12.66 (member822980838_alt_o @ X2)))))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl742])). 91.86/12.66 thf(zip_derived_cl744, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o, 91.86/12.66 X6 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 91.86/12.66 (((ord_le602483040lt_o_o @ X4 @ X6) => 91.86/12.66 (((member822980838_alt_o @ X2 @ X4) => (member822980838_alt_o @ 91.86/12.66 X2 @ X6)))))), 91.86/12.66 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl743])). 91.86/12.66 thf(zip_derived_cl745, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o, 91.86/12.66 X6 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 91.86/12.66 (~ (ord_le602483040lt_o_o @ X4 @ X6) 91.86/12.66 | (((member822980838_alt_o @ X2 @ X4) => (member822980838_alt_o @ 91.86/12.66 X2 @ X6))))), 91.86/12.66 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl744])). 91.86/12.66 thf(zip_derived_cl746, plain, 91.86/12.66 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 91.86/12.66 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o, 91.86/12.66 X6 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 91.86/12.66 (~ (member822980838_alt_o @ X2 @ X4) 91.86/12.67 | (member822980838_alt_o @ X2 @ X6) 91.86/12.67 | ~ (ord_le602483040lt_o_o @ X4 @ X6))), 91.86/12.67 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl745])). 91.86/12.67 thf(fact_349_top1I, axiom, 91.86/12.67 (![X_97:arrow_1196572341e_indi]: ( top_to54564308indi_o @ X_97 ))). 91.86/12.67 thf(zip_derived_cl374, plain, 91.86/12.67 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi]: (top_to54564308indi_o @ Y0))))), 91.86/12.67 inference('cnf', [status(esa)], [fact_349_top1I])). 91.86/12.67 thf(zip_derived_cl375, plain, ( (((!!) @ top_to54564308indi_o))), 91.86/12.67 inference('lams2combs', [status(thm)], [zip_derived_cl374])). 91.86/12.67 thf(zip_derived_cl405, plain, 91.86/12.67 (![X2 : arrow_1196572341e_indi]: (top_to54564308indi_o @ X2)), 91.86/12.67 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl375])). 91.86/12.67 thf(fact_989_top__greatest, axiom, 91.86/12.67 (![A_3:( arrow_1196572341e_indi > $o )]: 91.86/12.67 ( ord_le865407012indi_o @ A_3 @ top_to54564308indi_o ))). 91.86/12.67 thf(zip_derived_cl238, plain, 91.86/12.67 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi > $o]: 91.86/12.67 (ord_le865407012indi_o @ Y0 @ top_to54564308indi_o))))), 91.86/12.67 inference('cnf', [status(esa)], [fact_989_top__greatest])). 91.86/12.67 thf(zip_derived_cl239, plain, 91.86/12.67 ( (((!!) @ ((('#C') @ ord_le865407012indi_o @ top_to54564308indi_o))))), 91.86/12.67 inference('lams2combs', [status(thm)], [zip_derived_cl238])). 91.86/12.67 thf(zip_derived_cl419, plain, 91.86/12.67 (![X2 : arrow_1196572341e_indi > $o]: 91.86/12.67 (ord_le865407012indi_o @ X2 @ top_to54564308indi_o)), 91.86/12.67 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl239])). 91.86/12.67 thf(fact_921_Pi__anti__mono, axiom, 91.86/12.67 (![B_8:( arrow_1196572341e_indi > ( produc1572197287le_alt > $o ) > $o ), 91.86/12.67 A_12:( arrow_1196572341e_indi > $o ), 91.86/12.67 A_11:( arrow_1196572341e_indi > $o )]: 91.86/12.67 ( ( ord_le865407012indi_o @ A_12 @ A_11 ) => 91.86/12.67 ( ord_le602483040lt_o_o @ 91.86/12.67 ( pi_Arr1309696186_alt_o @ A_11 @ B_8 ) @ 91.86/12.67 ( pi_Arr1309696186_alt_o @ A_12 @ B_8 ) ) ))). 91.86/12.67 thf(zip_derived_cl92, plain, 91.86/12.67 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o]: 91.86/12.67 (((!!) @ (^[Y1 : arrow_1196572341e_indi > $o]: 91.86/12.67 (((!!) @ (^[Y2 : arrow_1196572341e_indi > $o]: 91.86/12.67 (((ord_le865407012indi_o @ Y1 @ 91.86/12.67 Y2) => (ord_le602483040lt_o_o @ 91.86/12.67 (pi_Arr1309696186_alt_o @ Y2 @ Y0) @ 91.86/12.67 (pi_Arr1309696186_alt_o @ Y1 @ Y0)))))))))))))), 91.86/12.67 inference('cnf', [status(esa)], [fact_921_Pi__anti__mono])). 91.86/12.67 thf(zip_derived_cl93, plain, 91.86/12.67 ( (((!!) @ ((('#B') @ (!!) @ 91.86/12.67 ((('#B') @ ((('#B') @ (!!))) @ 91.86/12.67 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.67 ((('#B') @ ((('#B') @ (=>))) @ 91.86/12.67 ord_le865407012indi_o)))))) @ 91.86/12.67 ((('#S') @ ((('#B') @ ('#B') @ 91.86/12.67 ((('#B') @ ('#C') @ 91.86/12.67 ((('#B') @ ((('#B') @ ord_le602483040lt_o_o)) @ 91.86/12.67 ((('#C') @ pi_Arr1309696186_alt_o)))))))) @ 91.86/12.67 ((('#C') @ pi_Arr1309696186_alt_o))))))))))))), 91.86/12.67 inference('lams2combs', [status(thm)], [zip_derived_cl92])). 91.86/12.67 thf(zip_derived_cl860, plain, 91.86/12.67 (![X2 : arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o]: 91.86/12.67 (((!!) @ ((('#B') @ (!!) @ 91.86/12.67 ((('#S') @ ((('#B') @ ('#S') @ 91.86/12.67 ((('#B') @ ((('#B') @ (=>))) @ 91.86/12.67 ord_le865407012indi_o)))) @ 91.86/12.67 ((('#B') @ ((('#C') @ ((('#B') @ ord_le602483040lt_o_o @ 91.86/12.67 ((('#C') @ pi_Arr1309696186_alt_o @ 91.86/12.67 X2)))))) @ 91.86/12.67 ((('#C') @ pi_Arr1309696186_alt_o @ X2))))))))))), 91.86/12.67 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl93])). 91.86/12.67 thf(zip_derived_cl861, plain, 91.86/12.67 (![X2 : arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o, 91.86/12.67 X4 : arrow_1196572341e_indi > $o]: 91.86/12.67 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (ord_le865407012indi_o @ X4))) @ 91.86/12.67 ((('#C') @ ((('#B') @ ord_le602483040lt_o_o @ 91.86/12.67 ((('#C') @ pi_Arr1309696186_alt_o @ X2)))) @ 91.86/12.67 (pi_Arr1309696186_alt_o @ X4 @ X2)))))))), 91.86/12.67 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl860])). 91.86/12.67 thf(zip_derived_cl862, plain, 91.86/12.67 (![X2 : arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o, 91.86/12.67 X4 : arrow_1196572341e_indi > $o, X6 : arrow_1196572341e_indi > $o]: 91.86/12.67 (((ord_le865407012indi_o @ X4 @ X6) => (ord_le602483040lt_o_o @ 91.86/12.67 (pi_Arr1309696186_alt_o @ X6 @ X2) @ 91.86/12.67 (pi_Arr1309696186_alt_o @ X4 @ X2))))), 91.86/12.67 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl861])). 91.86/12.67 thf(zip_derived_cl863, plain, 91.86/12.67 (![X2 : arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o, 91.86/12.67 X4 : arrow_1196572341e_indi > $o, X6 : arrow_1196572341e_indi > $o]: 91.86/12.67 (~ (ord_le865407012indi_o @ X4 @ X6) 91.86/12.67 | (ord_le602483040lt_o_o @ (pi_Arr1309696186_alt_o @ X6 @ X2) @ 91.86/12.67 (pi_Arr1309696186_alt_o @ X4 @ X2)))), 91.86/12.67 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl862])). 91.86/12.67 thf(zip_derived_cl7787, plain, ($false), 91.86/12.67 inference('eprover', [status(thm)], 91.86/12.67 [zip_derived_cl112, zip_derived_cl484, zip_derived_cl559, 91.86/12.67 zip_derived_cl444, zip_derived_cl496, zip_derived_cl817, 91.86/12.67 zip_derived_cl628, zip_derived_cl993, zip_derived_cl578, 91.86/12.67 zip_derived_cl476, zip_derived_cl499, zip_derived_cl581, 91.86/12.67 zip_derived_cl763, zip_derived_cl477, zip_derived_cl416, 91.86/12.67 zip_derived_cl1293, zip_derived_cl615, zip_derived_cl7782, 91.86/12.67 zip_derived_cl73, zip_derived_cl7766, zip_derived_cl746, 91.86/12.67 zip_derived_cl405, zip_derived_cl419, zip_derived_cl863])). 91.86/12.67 91.86/12.67 % SZS output end Refutation 91.86/12.67 91.86/12.67 91.86/12.67 % Terminating... 92.56/12.80 % Runner terminated. 92.56/12.82 % Zipperpin 1.5 exiting 92.56/12.83 EOF