0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.14/0.27 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2HQxrqBKjj true 0.27/0.48 % Computer : n005.cluster.edu 0.27/0.48 % Model : x86_64 x86_64 0.27/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.27/0.48 % Memory : 8042.1875MB 0.27/0.48 % OS : Linux 3.10.0-693.el7.x86_64 0.27/0.48 % CPULimit : 1440 0.27/0.48 % WCLimit : 180 0.27/0.48 % DateTime : Thu Jul 4 10:41:09 EDT 2024 0.27/0.48 % CPUTime : 0.27/0.48 % Running portfolio for 1440 s 0.27/0.48 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.27/0.48 % Number of cores: 8 0.27/0.49 % Python version: Python 3.6.8 0.27/0.49 % Running in HO mode 0.47/0.80 % Total configuration time : 828 0.47/0.80 % Estimated wc time : 1656 0.47/0.80 % Estimated cpu time (8 cpus) : 207.0 0.47/0.86 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.47/0.86 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.47/0.86 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.47/0.86 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.47/0.88 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.47/0.88 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.47/0.89 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.47/0.91 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.47/0.99 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 92.94/12.43 % Solved by lams/40_b.comb.sh. 92.94/12.43 % done 457 iterations in 11.462s 92.94/12.43 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 92.94/12.43 % SZS output start Refutation 92.94/12.43 thf(list_A1402527603le_alt_type, type, list_A1402527603le_alt: $tType). 92.94/12.43 thf(arrow_1389031998le_alt_type, type, arrow_1389031998le_alt: $tType). 92.94/12.43 thf(produc1572197287le_alt_type, type, produc1572197287le_alt: $tType). 92.94/12.43 thf(arrow_1196572341e_indi_type, type, arrow_1196572341e_indi: $tType). 92.94/12.43 thf(member1241905979_alt_o_type, type, member1241905979_alt_o: (produc1572197287le_alt > $o) > 92.94/12.43 ((produc1572197287le_alt > $o) > $o) > $o). 92.94/12.43 thf(produc897867031le_alt_type, type, produc897867031le_alt: arrow_1389031998le_alt > 92.94/12.43 arrow_1389031998le_alt > produc1572197287le_alt). 92.94/12.43 thf(b_type, type, b: arrow_1389031998le_alt). 92.94/12.43 thf('#sk7_type', type, '#sk7': arrow_1196572341e_indi). 92.94/12.43 thf(top_to54564308indi_o_type, type, top_to54564308indi_o: arrow_1196572341e_indi > $o). 92.94/12.43 thf(last_A2130988295le_alt_type, type, last_A2130988295le_alt: list_A1402527603le_alt > arrow_1389031998le_alt). 92.94/12.43 thf(hd_Arr731872705le_alt_type, type, hd_Arr731872705le_alt: list_A1402527603le_alt > arrow_1389031998le_alt). 92.94/12.43 thf(c_type, type, c: arrow_1389031998le_alt). 92.94/12.43 thf(cons_A1142416030le_alt_type, type, cons_A1142416030le_alt: arrow_1389031998le_alt > 92.94/12.43 list_A1402527603le_alt > list_A1402527603le_alt). 92.94/12.43 thf('#ty_enc67_type', type, '#ty_enc67': ((produc1572197287le_alt > $o) > $o) > 92.94/12.43 arrow_1196572341e_indi > 92.94/12.43 (produc1572197287le_alt > $o) > $o). 92.94/12.43 thf(member822980838_alt_o_type, type, member822980838_alt_o: (arrow_1196572341e_indi > 92.94/12.43 produc1572197287le_alt > $o) > 92.94/12.43 ((arrow_1196572341e_indi > 92.94/12.43 produc1572197287le_alt > $o) > $o) > $o). 92.94/12.43 thf(ord_le602483040lt_o_o_type, type, ord_le602483040lt_o_o: ((arrow_1196572341e_indi > 92.94/12.43 produc1572197287le_alt > $o) > $o) > 92.94/12.43 ((arrow_1196572341e_indi > 92.94/12.43 produc1572197287le_alt > $o) > $o) > $o). 92.94/12.43 thf(append1092755459le_alt_type, type, append1092755459le_alt: list_A1402527603le_alt > 92.94/12.43 list_A1402527603le_alt > list_A1402527603le_alt). 92.94/12.43 thf(butlas1188620858le_alt_type, type, butlas1188620858le_alt: list_A1402527603le_alt > list_A1402527603le_alt). 92.94/12.43 thf(arrow_1647925946e_Prof_type, type, arrow_1647925946e_Prof: (arrow_1196572341e_indi > 92.94/12.43 produc1572197287le_alt > $o) > $o). 92.94/12.43 thf(member285112084le_alt_type, type, member285112084le_alt: produc1572197287le_alt > 92.94/12.43 (produc1572197287le_alt > $o) > $o). 92.94/12.43 thf(member998036369le_alt_type, type, member998036369le_alt: arrow_1389031998le_alt > 92.94/12.43 (arrow_1389031998le_alt > $o) > $o). 92.94/12.43 thf(p_type, type, p: arrow_1196572341e_indi > produc1572197287le_alt > $o). 92.94/12.43 thf(nil_Ar52383470le_alt_type, type, nil_Ar52383470le_alt: list_A1402527603le_alt). 92.94/12.43 thf(distin1149997281le_alt_type, type, distin1149997281le_alt: list_A1402527603le_alt > $o). 92.94/12.43 thf(pi_Arr1309696186_alt_o_type, type, pi_Arr1309696186_alt_o: (arrow_1196572341e_indi > $o) > 92.94/12.43 (arrow_1196572341e_indi > 92.94/12.43 (produc1572197287le_alt > $o) > $o) > 92.94/12.43 (arrow_1196572341e_indi > 92.94/12.43 produc1572197287le_alt > $o) > $o). 92.94/12.43 thf(arrow_1865170000_below_type, type, arrow_1865170000_below: (produc1572197287le_alt > $o) > 92.94/12.43 arrow_1389031998le_alt > 92.94/12.43 arrow_1389031998le_alt > 92.94/12.43 produc1572197287le_alt > $o). 92.94/12.43 thf(set_Ar1491127311le_alt_type, type, set_Ar1491127311le_alt: list_A1402527603le_alt > 92.94/12.43 arrow_1389031998le_alt > $o). 92.94/12.43 thf(arrow_1982173296le_Lin_type, type, arrow_1982173296le_Lin: (produc1572197287le_alt > $o) > $o). 92.94/12.43 thf(ord_le865407012indi_o_type, type, ord_le865407012indi_o: (arrow_1196572341e_indi > $o) > 92.94/12.43 (arrow_1196572341e_indi > $o) > $o). 92.94/12.43 thf(a_type, type, a: arrow_1389031998le_alt). 92.94/12.43 thf(member1818997282e_indi_type, type, member1818997282e_indi: arrow_1196572341e_indi > 92.94/12.43 (arrow_1196572341e_indi > $o) > $o). 92.94/12.43 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 92.94/12.43 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 92.94/12.43 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 92.94/12.43 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 92.94/12.43 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 92.94/12.43 thf(fact_4_dist, axiom, 92.94/12.43 (distin1149997281le_alt @ 92.94/12.43 ( cons_A1142416030le_alt @ 92.94/12.43 a @ 92.94/12.43 ( cons_A1142416030le_alt @ 92.94/12.43 b @ ( cons_A1142416030le_alt @ c @ nil_Ar52383470le_alt ) ) ))). 92.94/12.43 thf(zip_derived_cl38, plain, 92.94/12.43 ( (distin1149997281le_alt @ 92.94/12.43 (cons_A1142416030le_alt @ a @ 92.94/12.43 (cons_A1142416030le_alt @ b @ 92.94/12.43 (cons_A1142416030le_alt @ c @ nil_Ar52383470le_alt))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_4_dist])). 92.94/12.43 thf(fact_401_append__Nil, axiom, 92.94/12.43 (![Ys_57:list_A1402527603le_alt]: 92.94/12.43 ( ( append1092755459le_alt @ nil_Ar52383470le_alt @ Ys_57 ) = ( Ys_57 ) ))). 92.94/12.43 thf(zip_derived_cl26, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : list_A1402527603le_alt]: 92.94/12.43 (((append1092755459le_alt @ nil_Ar52383470le_alt @ Y0) = 92.94/12.43 (Y0))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_401_append__Nil])). 92.94/12.43 thf(zip_derived_cl27, plain, 92.94/12.43 ( (((!!) @ ((('#S') @ ((('#B') @ (=) @ 92.94/12.43 (append1092755459le_alt @ nil_Ar52383470le_alt))) @ 92.94/12.43 ('#I')))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl26])). 92.94/12.43 thf(zip_derived_cl438, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt]: 92.94/12.43 (((append1092755459le_alt @ nil_Ar52383470le_alt @ X2) = (X2)))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])). 92.94/12.43 thf(zip_derived_cl439, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt]: 92.94/12.43 ((append1092755459le_alt @ nil_Ar52383470le_alt @ X2) = (X2))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl438])). 92.94/12.43 thf(fact_37_list_Osimps_I2_J, axiom, 92.94/12.43 (![A_48:arrow_1389031998le_alt,List_5:list_A1402527603le_alt]: 92.94/12.43 ( ( nil_Ar52383470le_alt ) != ( cons_A1142416030le_alt @ A_48 @ List_5 ) ))). 92.94/12.43 thf(zip_derived_cl20, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ (^[Y1 : list_A1402527603le_alt]: 92.94/12.43 (((nil_Ar52383470le_alt) != 92.94/12.43 (cons_A1142416030le_alt @ Y0 @ Y1)))))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_37_list_Osimps_I2_J])). 92.94/12.43 thf(zip_derived_cl21, plain, 92.94/12.43 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.43 ((('#B') @ ((('#B') @ (((list_A1402527603le_alt) != 92.94/12.43 (nil_Ar52383470le_alt))))) @ 92.94/12.43 cons_A1142416030le_alt))))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl20])). 92.94/12.43 thf(zip_derived_cl454, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ ((('#B') @ (((list_A1402527603le_alt) != 92.94/12.43 (nil_Ar52383470le_alt))) @ 92.94/12.43 (cons_A1142416030le_alt @ X2)))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl21])). 92.94/12.43 thf(zip_derived_cl455, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 92.94/12.43 (((nil_Ar52383470le_alt) != (cons_A1142416030le_alt @ X2 @ X4)))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl454])). 92.94/12.43 thf(zip_derived_cl456, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 92.94/12.43 ((nil_Ar52383470le_alt) != (cons_A1142416030le_alt @ X2 @ X4))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl455])). 92.94/12.43 thf(fact_583_hd_Osimps, axiom, 92.94/12.43 (![X_54:arrow_1389031998le_alt,Xs_77:list_A1402527603le_alt]: 92.94/12.43 ( ( hd_Arr731872705le_alt @ ( cons_A1142416030le_alt @ X_54 @ Xs_77 ) ) = 92.94/12.43 ( X_54 ) ))). 92.94/12.43 thf(zip_derived_cl186, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ (^[Y1 : list_A1402527603le_alt]: 92.94/12.43 (((hd_Arr731872705le_alt @ 92.94/12.43 (cons_A1142416030le_alt @ Y0 @ Y1)) = (Y0)))))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_583_hd_Osimps])). 92.94/12.43 thf(zip_derived_cl187, plain, 92.94/12.43 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.43 ((('#S') @ ((('#B') @ ('#C') @ 92.94/12.43 ((('#B') @ ((('#B') @ (=))) @ 92.94/12.43 ((('#B') @ ((('#B') @ hd_Arr731872705le_alt)) @ 92.94/12.43 cons_A1142416030le_alt)))))) @ 92.94/12.43 ('#I')))))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl186])). 92.94/12.43 thf(zip_derived_cl553, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ ((('#C') @ ((('#B') @ (=) @ 92.94/12.43 ((('#B') @ hd_Arr731872705le_alt @ 92.94/12.43 (cons_A1142416030le_alt @ X2))))) @ 92.94/12.43 X2))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl187])). 92.94/12.43 thf(zip_derived_cl554, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 92.94/12.43 (((hd_Arr731872705le_alt @ (cons_A1142416030le_alt @ X2 @ X4)) = (X2)))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl553])). 92.94/12.43 thf(zip_derived_cl555, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 92.94/12.43 ((hd_Arr731872705le_alt @ (cons_A1142416030le_alt @ X2 @ X4)) = (X2))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl554])). 92.94/12.43 thf(fact_744_hd__in__set, axiom, 92.94/12.43 (![Xs_25:list_A1402527603le_alt]: 92.94/12.43 ( ( ( Xs_25 ) != ( nil_Ar52383470le_alt ) ) => 92.94/12.43 ( member998036369le_alt @ 92.94/12.43 ( hd_Arr731872705le_alt @ Xs_25 ) @ ( set_Ar1491127311le_alt @ Xs_25 ) ) ))). 92.94/12.43 thf(zip_derived_cl2, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : list_A1402527603le_alt]: 92.94/12.43 (((((Y0) != (nil_Ar52383470le_alt))) => 92.94/12.43 (member998036369le_alt @ (hd_Arr731872705le_alt @ Y0) @ 92.94/12.43 (set_Ar1491127311le_alt @ Y0)))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_744_hd__in__set])). 92.94/12.43 thf(zip_derived_cl3, plain, 92.94/12.43 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 92.94/12.43 ((('#C') @ (!=) @ nil_Ar52383470le_alt)))) @ 92.94/12.43 ((('#S') @ ((('#B') @ member998036369le_alt @ 92.94/12.43 hd_Arr731872705le_alt)) @ 92.94/12.43 set_Ar1491127311le_alt))))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl2])). 92.94/12.43 thf(zip_derived_cl426, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt]: 92.94/12.43 (((((X2) != (nil_Ar52383470le_alt))) => (member998036369le_alt @ 92.94/12.43 (hd_Arr731872705le_alt @ X2) @ (set_Ar1491127311le_alt @ X2))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 92.94/12.43 thf(zip_derived_cl427, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt]: 92.94/12.43 (~ (((X2) != (nil_Ar52383470le_alt))) 92.94/12.43 | (member998036369le_alt @ (hd_Arr731872705le_alt @ X2) @ 92.94/12.43 (set_Ar1491127311le_alt @ X2)))), 92.94/12.43 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl426])). 92.94/12.43 thf(zip_derived_cl428, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt]: 92.94/12.43 (((X2) = (nil_Ar52383470le_alt)) 92.94/12.43 | (member998036369le_alt @ (hd_Arr731872705le_alt @ X2) @ 92.94/12.43 (set_Ar1491127311le_alt @ X2)))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl427])). 92.94/12.43 thf(fact_399_append__Cons, axiom, 92.94/12.43 (![X_86:arrow_1389031998le_alt,Xs_140:list_A1402527603le_alt, 92.94/12.43 Ys_59:list_A1402527603le_alt]: 92.94/12.43 ( ( append1092755459le_alt @ 92.94/12.43 ( cons_A1142416030le_alt @ X_86 @ Xs_140 ) @ Ys_59 ) = 92.94/12.43 ( cons_A1142416030le_alt @ 92.94/12.43 X_86 @ ( append1092755459le_alt @ Xs_140 @ Ys_59 ) ) ))). 92.94/12.43 thf(zip_derived_cl383, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ (^[Y1 : list_A1402527603le_alt]: 92.94/12.43 (((!!) @ (^[Y2 : list_A1402527603le_alt]: 92.94/12.43 (((append1092755459le_alt @ 92.94/12.43 (cons_A1142416030le_alt @ Y0 @ Y1) @ 92.94/12.43 Y2) = (cons_A1142416030le_alt @ 92.94/12.43 Y0 @ 92.94/12.43 (append1092755459le_alt @ Y1 @ Y2)))))))))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_399_append__Cons])). 92.94/12.43 thf(zip_derived_cl384, plain, 92.94/12.43 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.43 ((('#B') @ ((('#B') @ (!!))) @ 92.94/12.43 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.43 ((('#B') @ ((('#B') @ ('#S'))) @ 92.94/12.43 ((('#B') @ ((('#B') @ ((('#B') @ (=))))) @ 92.94/12.43 ((('#B') @ ((('#B') @ append1092755459le_alt)) @ 92.94/12.43 cons_A1142416030le_alt)))))))) @ 92.94/12.43 ((('#C') @ ((('#B') @ ('#B') @ 92.94/12.43 ((('#B') @ ('#B') @ cons_A1142416030le_alt)))) @ 92.94/12.43 append1092755459le_alt))))))))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl383])). 92.94/12.43 thf(zip_derived_cl776, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ ((('#B') @ (!!) @ 92.94/12.43 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.43 ((('#B') @ ((('#B') @ (=))) @ 92.94/12.43 ((('#B') @ append1092755459le_alt @ 92.94/12.43 (cons_A1142416030le_alt @ X2))))))) @ 92.94/12.43 ((('#B') @ ((('#B') @ (cons_A1142416030le_alt @ X2))) @ 92.94/12.43 append1092755459le_alt))))))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl384])). 92.94/12.43 thf(zip_derived_cl777, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 92.94/12.43 (((!!) @ ((('#S') @ ((('#B') @ (=) @ 92.94/12.43 (append1092755459le_alt @ 92.94/12.43 (cons_A1142416030le_alt @ X2 @ X4)))) @ 92.94/12.43 ((('#B') @ (cons_A1142416030le_alt @ X2) @ 92.94/12.43 (append1092755459le_alt @ X4)))))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl776])). 92.94/12.43 thf(zip_derived_cl778, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt, 92.94/12.43 X6 : list_A1402527603le_alt]: 92.94/12.43 (((append1092755459le_alt @ (cons_A1142416030le_alt @ X2 @ X4) @ 92.94/12.43 X6) = (cons_A1142416030le_alt @ X2 @ 92.94/12.43 (append1092755459le_alt @ X4 @ X6))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl777])). 92.94/12.43 thf(zip_derived_cl779, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt, 92.94/12.43 X6 : list_A1402527603le_alt]: 92.94/12.43 ((append1092755459le_alt @ (cons_A1142416030le_alt @ X2 @ X4) @ X6) 92.94/12.43 = (cons_A1142416030le_alt @ X2 @ (append1092755459le_alt @ X4 @ X6)))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl778])). 92.94/12.43 thf(fact_423_last__snoc, axiom, 92.94/12.43 (![Xs_119:list_A1402527603le_alt,X_77:arrow_1389031998le_alt]: 92.94/12.43 ( ( last_A2130988295le_alt @ 92.94/12.43 ( append1092755459le_alt @ 92.94/12.43 Xs_119 @ ( cons_A1142416030le_alt @ X_77 @ nil_Ar52383470le_alt ) ) ) = 92.94/12.43 ( X_77 ) ))). 92.94/12.43 thf(zip_derived_cl159, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : list_A1402527603le_alt]: 92.94/12.43 (((!!) @ (^[Y1 : arrow_1389031998le_alt]: 92.94/12.43 (((last_A2130988295le_alt @ 92.94/12.43 (append1092755459le_alt @ Y0 @ 92.94/12.43 (cons_A1142416030le_alt @ Y1 @ 92.94/12.43 nil_Ar52383470le_alt))) = 92.94/12.43 (Y1)))))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_423_last__snoc])). 92.94/12.43 thf(zip_derived_cl160, plain, 92.94/12.43 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.43 ((('#C') @ ((('#B') @ ('#S') @ 92.94/12.43 ((('#B') @ ((('#B') @ (=))) @ 92.94/12.43 ((('#B') @ ((('#B') @ last_A2130988295le_alt)) @ 92.94/12.43 ((('#C') @ ((('#B') @ ('#B') @ 92.94/12.43 append1092755459le_alt)) @ 92.94/12.43 ((('#C') @ cons_A1142416030le_alt @ 92.94/12.43 nil_Ar52383470le_alt)))))))))) @ 92.94/12.43 ('#I')))))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl159])). 92.94/12.43 thf(zip_derived_cl593, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt]: 92.94/12.43 (((!!) @ ((('#S') @ ((('#B') @ (=) @ 92.94/12.43 ((('#B') @ last_A2130988295le_alt @ 92.94/12.43 ((('#B') @ (append1092755459le_alt @ X2) @ 92.94/12.43 ((('#C') @ cons_A1142416030le_alt @ 92.94/12.43 nil_Ar52383470le_alt)))))))) @ 92.94/12.43 ('#I')))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl160])). 92.94/12.43 thf(zip_derived_cl594, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt, X4 : arrow_1389031998le_alt]: 92.94/12.43 (((last_A2130988295le_alt @ 92.94/12.43 (append1092755459le_alt @ X2 @ 92.94/12.43 (cons_A1142416030le_alt @ X4 @ nil_Ar52383470le_alt))) = 92.94/12.43 (X4)))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl593])). 92.94/12.43 thf(zip_derived_cl595, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt, X4 : arrow_1389031998le_alt]: 92.94/12.43 ((last_A2130988295le_alt @ 92.94/12.43 (append1092755459le_alt @ X2 @ 92.94/12.43 (cons_A1142416030le_alt @ X4 @ nil_Ar52383470le_alt))) 92.94/12.43 = (X4))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl594])). 92.94/12.43 thf(fact_433_snoc__eq__iff__butlast, axiom, 92.94/12.43 (![Xs_118:list_A1402527603le_alt,X_75:arrow_1389031998le_alt, 92.94/12.43 Ys_41:list_A1402527603le_alt]: 92.94/12.43 ( ( ( ( Ys_41 ) != ( nil_Ar52383470le_alt ) ) & 92.94/12.43 ( ( last_A2130988295le_alt @ Ys_41 ) = ( X_75 ) ) & 92.94/12.43 ( ( butlas1188620858le_alt @ Ys_41 ) = ( Xs_118 ) ) ) <=> 92.94/12.43 ( ( append1092755459le_alt @ 92.94/12.43 Xs_118 @ ( cons_A1142416030le_alt @ X_75 @ nil_Ar52383470le_alt ) ) = 92.94/12.43 ( Ys_41 ) ) ))). 92.94/12.43 thf(zip_derived_cl44, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : list_A1402527603le_alt]: 92.94/12.43 (((!!) @ (^[Y1 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ (^[Y2 : list_A1402527603le_alt]: 92.94/12.43 (((((((Y2) != 92.94/12.43 (nil_Ar52383470le_alt))) & 92.94/12.43 (((last_A2130988295le_alt @ 92.94/12.43 Y2) = (Y1))) & 92.94/12.43 (((butlas1188620858le_alt @ 92.94/12.43 Y2) = (Y0))))) <=> 92.94/12.43 (((append1092755459le_alt @ Y0 @ 92.94/12.43 (cons_A1142416030le_alt @ Y1 @ 92.94/12.43 nil_Ar52383470le_alt)) = 92.94/12.43 (Y2))))))))))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_433_snoc__eq__iff__butlast])). 92.94/12.43 thf(zip_derived_cl45, plain, 92.94/12.43 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.43 ((('#B') @ ((('#B') @ (!!))) @ 92.94/12.43 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.43 ((('#B') @ ((('#B') @ ('#S'))) @ 92.94/12.43 ((('#B') @ ((('#B') @ ((('#B') @ (<=>))))) @ 92.94/12.43 ((('#B') @ ((('#C') @ ((('#B') @ ( 92.94/12.43 '#S') @ 92.94/12.43 ((('#B') @ ( 92.94/12.43 (('#S') @ ( 92.94/12.43 (('#B') @ ( 92.94/12.43 &) @ 92.94/12.43 ((('#C') @ ( 92.94/12.43 !=) @ 92.94/12.43 nil_Ar52383470le_alt)))))) @ 92.94/12.43 ((('#C') @ ( 92.94/12.43 (('#B') @ ( 92.94/12.43 =) @ 92.94/12.43 last_A2130988295le_alt)))))))))) @ 92.94/12.43 ((('#C') @ ((('#B') @ (=) @ 92.94/12.43 butlas1188620858le_alt)))))))))))) @ 92.94/12.43 ((('#B') @ ((('#B') @ (=))) @ 92.94/12.43 ((('#C') @ ((('#B') @ ('#B') @ append1092755459le_alt)) @ 92.94/12.43 ((('#C') @ cons_A1142416030le_alt @ 92.94/12.43 nil_Ar52383470le_alt))))))))))))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl44])). 92.94/12.43 thf(zip_derived_cl741, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt]: 92.94/12.43 (((!!) @ ((('#B') @ (!!) @ 92.94/12.43 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.43 ((('#B') @ ((('#B') @ (<=>))) @ 92.94/12.43 ((('#C') @ ((('#B') @ ('#S') @ 92.94/12.43 ((('#B') @ ((('#S') @ ( 92.94/12.43 (('#B') @ ( 92.94/12.43 &) @ 92.94/12.43 ((('#C') @ ( 92.94/12.43 !=) @ 92.94/12.43 nil_Ar52383470le_alt)))))) @ 92.94/12.43 ((('#C') @ ((('#B') @ ( 92.94/12.43 =) @ 92.94/12.43 last_A2130988295le_alt)))))))) @ 92.94/12.43 ((('#C') @ ((('#B') @ (=) @ 92.94/12.43 butlas1188620858le_alt)) @ 92.94/12.43 X2)))))))) @ 92.94/12.43 ((('#B') @ (=) @ 92.94/12.43 ((('#B') @ (append1092755459le_alt @ X2) @ 92.94/12.43 ((('#C') @ cons_A1142416030le_alt @ 92.94/12.43 nil_Ar52383470le_alt))))))))))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl45])). 92.94/12.43 thf(zip_derived_cl742, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt, X4 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 92.94/12.43 ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 92.94/12.43 ((('#C') @ (!=) @ 92.94/12.43 nil_Ar52383470le_alt)))) @ 92.94/12.43 ((('#C') @ ((('#B') @ (=) @ 92.94/12.43 last_A2130988295le_alt)) @ 92.94/12.43 X4)))) @ 92.94/12.43 ((('#C') @ ((('#B') @ (=) @ 92.94/12.43 butlas1188620858le_alt)) @ 92.94/12.43 X2)))))) @ 92.94/12.43 (((list_A1402527603le_alt) = (append1092755459le_alt @ 92.94/12.43 X2 @ 92.94/12.43 (cons_A1142416030le_alt @ X4 @ nil_Ar52383470le_alt))))))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl741])). 92.94/12.43 thf(zip_derived_cl743, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt, X4 : arrow_1389031998le_alt, 92.94/12.43 X6 : list_A1402527603le_alt]: 92.94/12.43 (((((((X6) != (nil_Ar52383470le_alt))) & 92.94/12.43 (((last_A2130988295le_alt @ X6) = (X4))) & 92.94/12.43 (((butlas1188620858le_alt @ X6) = (X2))))) <=> 92.94/12.43 (((append1092755459le_alt @ X2 @ 92.94/12.43 (cons_A1142416030le_alt @ X4 @ nil_Ar52383470le_alt)) = (X6)))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl742])). 92.94/12.43 thf(zip_derived_cl744, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt, X4 : arrow_1389031998le_alt, 92.94/12.43 X6 : list_A1402527603le_alt]: 92.94/12.43 ((((((X6) != (nil_Ar52383470le_alt))) & 92.94/12.43 (((last_A2130988295le_alt @ X6) = (X4))) & 92.94/12.43 (((butlas1188620858le_alt @ X6) = (X2))))) 92.94/12.43 = (((append1092755459le_alt @ X2 @ 92.94/12.43 (cons_A1142416030le_alt @ X4 @ nil_Ar52383470le_alt)) = (X6))))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl743])). 92.94/12.43 thf(fact_321_mem__def, axiom, 92.94/12.43 (![X_102:( produc1572197287le_alt > $o ), 92.94/12.43 A_36:( ( produc1572197287le_alt > $o ) > $o )]: 92.94/12.43 ( ( member1241905979_alt_o @ X_102 @ A_36 ) <=> ( A_36 @ X_102 ) ))). 92.94/12.43 thf(zip_derived_cl278, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : produc1572197287le_alt > $o]: 92.94/12.43 (((!!) @ (^[Y1 : (produc1572197287le_alt > $o) > $o]: 92.94/12.43 (((member1241905979_alt_o @ Y0 @ Y1) <=> (Y1 @ 92.94/12.43 Y0)))))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_321_mem__def])). 92.94/12.43 thf(zip_derived_cl279, plain, 92.94/12.43 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.43 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.43 ((('#B') @ ((('#B') @ (<=>))) @ 92.94/12.43 member1241905979_alt_o)))) @ 92.94/12.43 ((('#C') @ ('#I')))))))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl278])). 92.94/12.43 thf(zip_derived_cl573, plain, 92.94/12.43 (![X2 : produc1572197287le_alt > $o]: 92.94/12.43 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ (member1241905979_alt_o @ X2))) @ 92.94/12.43 ((('#C') @ ('#I') @ X2))))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl279])). 92.94/12.43 thf(zip_derived_cl574, plain, 92.94/12.43 (![X2 : produc1572197287le_alt > $o, 92.94/12.43 X4 : (produc1572197287le_alt > $o) > $o]: 92.94/12.43 (((member1241905979_alt_o @ X2 @ X4) <=> (X4 @ X2)))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl573])). 92.94/12.43 thf(zip_derived_cl575, plain, 92.94/12.43 (![X2 : produc1572197287le_alt > $o, 92.94/12.43 X4 : (produc1572197287le_alt > $o) > $o]: 92.94/12.43 ((member1241905979_alt_o @ X2 @ X4) = (X4 @ X2))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl574])). 92.94/12.43 thf(fact_319_mem__def, axiom, 92.94/12.43 (![X_102:produc1572197287le_alt,A_36:( produc1572197287le_alt > $o )]: 92.94/12.43 ( ( A_36 @ X_102 ) <=> ( member285112084le_alt @ X_102 @ A_36 ) ))). 92.94/12.43 thf(zip_derived_cl298, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : produc1572197287le_alt]: 92.94/12.43 (((!!) @ (^[Y1 : produc1572197287le_alt > $o]: 92.94/12.43 (((Y1 @ Y0) <=> (member285112084le_alt @ Y0 @ 92.94/12.43 Y1)))))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_319_mem__def])). 92.94/12.43 thf(zip_derived_cl299, plain, 92.94/12.43 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.43 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.43 ((('#B') @ ((('#B') @ (<=>))) @ 92.94/12.43 ((('#C') @ ('#I'))))))) @ 92.94/12.43 member285112084le_alt))))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl298])). 92.94/12.43 thf(zip_derived_cl576, plain, 92.94/12.43 (![X2 : produc1572197287le_alt]: 92.94/12.43 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ ((('#C') @ ('#I') @ X2)))) @ 92.94/12.43 (member285112084le_alt @ X2)))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl299])). 92.94/12.43 thf(zip_derived_cl577, plain, 92.94/12.43 (![X2 : produc1572197287le_alt, X4 : produc1572197287le_alt > $o]: 92.94/12.43 (((X4 @ X2) <=> (member285112084le_alt @ X2 @ X4)))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl576])). 92.94/12.43 thf(zip_derived_cl578, plain, 92.94/12.43 (![X2 : produc1572197287le_alt, X4 : produc1572197287le_alt > $o]: 92.94/12.43 ((X4 @ X2) = (member285112084le_alt @ X2 @ X4))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl577])). 92.94/12.43 thf(fact_725_last__in__set, axiom, 92.94/12.43 (![As:list_A1402527603le_alt]: 92.94/12.43 ( ( ( As ) != ( nil_Ar52383470le_alt ) ) => 92.94/12.43 ( member998036369le_alt @ 92.94/12.43 ( last_A2130988295le_alt @ As ) @ ( set_Ar1491127311le_alt @ As ) ) ))). 92.94/12.43 thf(zip_derived_cl157, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : list_A1402527603le_alt]: 92.94/12.43 (((((Y0) != (nil_Ar52383470le_alt))) => 92.94/12.43 (member998036369le_alt @ (last_A2130988295le_alt @ Y0) @ 92.94/12.43 (set_Ar1491127311le_alt @ Y0)))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_725_last__in__set])). 92.94/12.43 thf(zip_derived_cl158, plain, 92.94/12.43 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 92.94/12.43 ((('#C') @ (!=) @ nil_Ar52383470le_alt)))) @ 92.94/12.43 ((('#S') @ ((('#B') @ member998036369le_alt @ 92.94/12.43 last_A2130988295le_alt)) @ 92.94/12.43 set_Ar1491127311le_alt))))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl157])). 92.94/12.43 thf(zip_derived_cl489, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt]: 92.94/12.43 (((((X2) != (nil_Ar52383470le_alt))) => (member998036369le_alt @ 92.94/12.43 (last_A2130988295le_alt @ X2) @ (set_Ar1491127311le_alt @ X2))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl158])). 92.94/12.43 thf(zip_derived_cl490, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt]: 92.94/12.43 (~ (((X2) != (nil_Ar52383470le_alt))) 92.94/12.43 | (member998036369le_alt @ (last_A2130988295le_alt @ X2) @ 92.94/12.43 (set_Ar1491127311le_alt @ X2)))), 92.94/12.43 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl489])). 92.94/12.43 thf(zip_derived_cl491, plain, 92.94/12.43 (![X2 : list_A1402527603le_alt]: 92.94/12.43 (((X2) = (nil_Ar52383470le_alt)) 92.94/12.43 | (member998036369le_alt @ (last_A2130988295le_alt @ X2) @ 92.94/12.43 (set_Ar1491127311le_alt @ X2)))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl490])). 92.94/12.43 thf(fact_316_mem__def, axiom, 92.94/12.43 (![X_102:arrow_1389031998le_alt,A_36:( arrow_1389031998le_alt > $o )]: 92.94/12.43 ( ( A_36 @ X_102 ) <=> ( member998036369le_alt @ X_102 @ A_36 ) ))). 92.94/12.43 thf(zip_derived_cl84, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ (^[Y1 : arrow_1389031998le_alt > $o]: 92.94/12.43 (((Y1 @ Y0) <=> (member998036369le_alt @ Y0 @ 92.94/12.43 Y1)))))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_316_mem__def])). 92.94/12.43 thf(zip_derived_cl85, plain, 92.94/12.43 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.43 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.43 ((('#B') @ ((('#B') @ (<=>))) @ 92.94/12.43 ((('#C') @ ('#I'))))))) @ 92.94/12.43 member998036369le_alt))))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl84])). 92.94/12.43 thf(zip_derived_cl544, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ ((('#C') @ ('#I') @ X2)))) @ 92.94/12.43 (member998036369le_alt @ X2)))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])). 92.94/12.43 thf(zip_derived_cl545, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt > $o]: 92.94/12.43 (((X4 @ X2) <=> (member998036369le_alt @ X2 @ X4)))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl544])). 92.94/12.43 thf(zip_derived_cl546, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt > $o]: 92.94/12.43 ((X4 @ X2) = (member998036369le_alt @ X2 @ X4))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl545])). 92.94/12.43 thf(fact_708_distinct_Osimps_I2_J, axiom, 92.94/12.43 (![X_31:arrow_1389031998le_alt,Xs_29:list_A1402527603le_alt]: 92.94/12.43 ( ( ( distin1149997281le_alt @ Xs_29 ) & 92.94/12.43 ( ~( member998036369le_alt @ X_31 @ ( set_Ar1491127311le_alt @ Xs_29 ) ) ) ) <=> 92.94/12.43 ( distin1149997281le_alt @ ( cons_A1142416030le_alt @ X_31 @ Xs_29 ) ) ))). 92.94/12.43 thf(zip_derived_cl70, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ (^[Y1 : list_A1402527603le_alt]: 92.94/12.43 (((((distin1149997281le_alt @ Y1) & 92.94/12.43 (((~) @ (member998036369le_alt @ Y0 @ 92.94/12.43 (set_Ar1491127311le_alt @ Y1)))))) <=> 92.94/12.43 (distin1149997281le_alt @ 92.94/12.43 (cons_A1142416030le_alt @ Y0 @ Y1))))))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_708_distinct_Osimps_I2_J])). 92.94/12.43 thf(zip_derived_cl71, plain, 92.94/12.43 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.43 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.43 ((('#B') @ ((('#B') @ (<=>))) @ 92.94/12.43 ((('#B') @ ((('#S') @ ((('#B') @ (&) @ 92.94/12.43 distin1149997281le_alt)))) @ 92.94/12.43 ((('#B') @ ((('#B') @ (~))) @ 92.94/12.43 ((('#C') @ ((('#B') @ ('#B') @ 92.94/12.43 member998036369le_alt)) @ 92.94/12.43 set_Ar1491127311le_alt)))))))))) @ 92.94/12.43 ((('#B') @ ((('#B') @ distin1149997281le_alt)) @ 92.94/12.43 cons_A1142416030le_alt))))))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl70])). 92.94/12.43 thf(zip_derived_cl730, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 92.94/12.43 ((('#S') @ ((('#B') @ (&) @ 92.94/12.43 distin1149997281le_alt)) @ 92.94/12.43 ((('#B') @ (~) @ 92.94/12.43 ((('#B') @ (member998036369le_alt @ X2) @ 92.94/12.43 set_Ar1491127311le_alt)))))))) @ 92.94/12.43 ((('#B') @ distin1149997281le_alt @ 92.94/12.43 (cons_A1142416030le_alt @ X2)))))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl71])). 92.94/12.43 thf(zip_derived_cl731, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 92.94/12.43 (((((distin1149997281le_alt @ X4) & 92.94/12.43 (((~) @ (member998036369le_alt @ X2 @ 92.94/12.43 (set_Ar1491127311le_alt @ X4)))))) <=> 92.94/12.43 (distin1149997281le_alt @ (cons_A1142416030le_alt @ X2 @ X4))))), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl730])). 92.94/12.43 thf(zip_derived_cl732, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 92.94/12.43 ((((distin1149997281le_alt @ X4) & 92.94/12.43 (((~) @ (member998036369le_alt @ X2 @ (set_Ar1491127311le_alt @ X4)))))) 92.94/12.43 = (distin1149997281le_alt @ (cons_A1142416030le_alt @ X2 @ X4)))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl731])). 92.94/12.43 thf(zip_derived_cl546, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt > $o]: 92.94/12.43 ((X4 @ X2) = (member998036369le_alt @ X2 @ X4))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl545])). 92.94/12.43 thf(zip_derived_cl733, plain, 92.94/12.43 (![X2 : arrow_1389031998le_alt, X4 : list_A1402527603le_alt]: 92.94/12.43 ((((distin1149997281le_alt @ X4) & 92.94/12.43 (((~) @ (set_Ar1491127311le_alt @ X4 @ X2))))) 92.94/12.43 = (distin1149997281le_alt @ (cons_A1142416030le_alt @ X2 @ X4)))), 92.94/12.43 inference('demod', [status(thm)], [zip_derived_cl732, zip_derived_cl546])). 92.94/12.43 thf(conj_0, conjecture, 92.94/12.43 (![I:arrow_1196572341e_indi]: 92.94/12.43 ( ( member285112084le_alt @ ( produc897867031le_alt @ a @ b ) @ ( p @ I ) ) <=> 92.94/12.43 ( member285112084le_alt @ 92.94/12.43 ( produc897867031le_alt @ a @ c ) @ 92.94/12.43 ( arrow_1865170000_below @ ( p @ I ) @ c @ b ) ) ))). 92.94/12.43 thf(zf_stmt_0, negated_conjecture, 92.94/12.43 (~( ![I:arrow_1196572341e_indi]: 92.94/12.43 ( ( member285112084le_alt @ 92.94/12.43 ( produc897867031le_alt @ a @ b ) @ ( p @ I ) ) <=> 92.94/12.43 ( member285112084le_alt @ 92.94/12.43 ( produc897867031le_alt @ a @ c ) @ 92.94/12.43 ( arrow_1865170000_below @ ( p @ I ) @ c @ b ) ) ) )), 92.94/12.43 inference('cnf.neg', [status(esa)], [conj_0])). 92.94/12.43 thf(zip_derived_cl401, plain, 92.94/12.43 (~ (((!!) @ (^[Y0 : arrow_1196572341e_indi]: 92.94/12.43 (((member285112084le_alt @ 92.94/12.43 (produc897867031le_alt @ a @ b) @ (p @ Y0)) <=> 92.94/12.43 (member285112084le_alt @ 92.94/12.43 (produc897867031le_alt @ a @ c) @ 92.94/12.43 (arrow_1865170000_below @ (p @ Y0) @ c @ b)))))))), 92.94/12.43 inference('cnf', [status(esa)], [zf_stmt_0])). 92.94/12.43 thf(zip_derived_cl402, plain, 92.94/12.43 (~ (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ 92.94/12.43 ((('#B') @ (member285112084le_alt @ 92.94/12.43 (produc897867031le_alt @ a @ b)) @ 92.94/12.43 p)))) @ 92.94/12.43 ((('#B') @ (member285112084le_alt @ 92.94/12.43 (produc897867031le_alt @ a @ c)) @ 92.94/12.43 ((('#C') @ ((('#C') @ ((('#B') @ arrow_1865170000_below @ 92.94/12.43 p)) @ 92.94/12.43 c)) @ 92.94/12.43 b))))))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl401])). 92.94/12.43 thf(zip_derived_cl457, plain, 92.94/12.43 (~ (((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ 92.94/12.43 (p @ '#sk7')) <=> (member285112084le_alt @ 92.94/12.43 (produc897867031le_alt @ a @ c) @ 92.94/12.43 (arrow_1865170000_below @ (p @ '#sk7') @ c @ b))))), 92.94/12.43 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl402])). 92.94/12.43 thf(zip_derived_cl458, plain, 92.94/12.43 (((member285112084le_alt @ (produc897867031le_alt @ a @ b) @ (p @ '#sk7')) 92.94/12.43 != (member285112084le_alt @ (produc897867031le_alt @ a @ c) @ 92.94/12.43 (arrow_1865170000_below @ (p @ '#sk7') @ c @ b)))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl457])). 92.94/12.43 thf(zip_derived_cl578, plain, 92.94/12.43 (![X2 : produc1572197287le_alt, X4 : produc1572197287le_alt > $o]: 92.94/12.43 ((X4 @ X2) = (member285112084le_alt @ X2 @ X4))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl577])). 92.94/12.43 thf(zip_derived_cl578, plain, 92.94/12.43 (![X2 : produc1572197287le_alt, X4 : produc1572197287le_alt > $o]: 92.94/12.43 ((X4 @ X2) = (member285112084le_alt @ X2 @ X4))), 92.94/12.43 inference('simplify nested equalities', [status(thm)], 92.94/12.43 [zip_derived_cl577])). 92.94/12.43 thf(zip_derived_cl579, plain, 92.94/12.43 (((p @ '#sk7' @ (produc897867031le_alt @ a @ b)) 92.94/12.43 != (arrow_1865170000_below @ (p @ '#sk7') @ c @ b @ 92.94/12.43 (produc897867031le_alt @ a @ c)))), 92.94/12.43 inference('demod', [status(thm)], 92.94/12.43 [zip_derived_cl458, zip_derived_cl578, zip_derived_cl578])). 92.94/12.43 thf(fact_367_iso__tuple__UNIV__I, axiom, 92.94/12.43 (![X_91:arrow_1196572341e_indi]: 92.94/12.43 ( member1818997282e_indi @ X_91 @ top_to54564308indi_o ))). 92.94/12.43 thf(zip_derived_cl321, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi]: 92.94/12.43 (member1818997282e_indi @ Y0 @ top_to54564308indi_o))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_367_iso__tuple__UNIV__I])). 92.94/12.43 thf(zip_derived_cl322, plain, 92.94/12.43 ( (((!!) @ ((('#C') @ member1818997282e_indi @ top_to54564308indi_o))))), 92.94/12.43 inference('lams2combs', [status(thm)], [zip_derived_cl321])). 92.94/12.43 thf(zip_derived_cl415, plain, 92.94/12.43 (![X2 : arrow_1196572341e_indi]: 92.94/12.43 (member1818997282e_indi @ X2 @ top_to54564308indi_o)), 92.94/12.43 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl322])). 92.94/12.43 thf(fact_12_in__below, axiom, 92.94/12.43 (![X:arrow_1389031998le_alt,Y:arrow_1389031998le_alt, 92.94/12.43 L_4:( produc1572197287le_alt > $o ),A:arrow_1389031998le_alt, 92.94/12.43 B:arrow_1389031998le_alt]: 92.94/12.43 ( ( ( A ) != ( B ) ) => 92.94/12.43 ( ( member1241905979_alt_o @ L_4 @ arrow_1982173296le_Lin ) => 92.94/12.43 ( ( ( ( X ) != ( Y ) ) & 92.94/12.43 ( ( ( Y ) = ( A ) ) => 92.94/12.43 ( member285112084le_alt @ 92.94/12.43 ( produc897867031le_alt @ X @ B ) @ L_4 ) ) & 92.94/12.43 ( ( ( Y ) != ( A ) ) => 92.94/12.43 ( ( ( ( X ) = ( A ) ) => 92.94/12.43 ( ( member285112084le_alt @ 92.94/12.43 ( produc897867031le_alt @ B @ Y ) @ L_4 ) | 92.94/12.43 ( ( Y ) = ( B ) ) ) ) & 92.94/12.43 ( ( ( X ) != ( A ) ) => 92.94/12.43 ( member285112084le_alt @ 92.94/12.43 ( produc897867031le_alt @ X @ Y ) @ L_4 ) ) ) ) ) <=> 92.94/12.43 ( member285112084le_alt @ 92.94/12.43 ( produc897867031le_alt @ X @ Y ) @ 92.94/12.43 ( arrow_1865170000_below @ L_4 @ A @ B ) ) ) ) ))). 92.94/12.43 thf(zip_derived_cl76, plain, 92.94/12.43 ( (((!!) @ (^[Y0 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ (^[Y1 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ (^[Y2 : produc1572197287le_alt > $o]: 92.94/12.43 (((!!) @ (^[Y3 : arrow_1389031998le_alt]: 92.94/12.43 (((!!) @ (^[Y4 : arrow_1389031998le_alt]: 92.94/12.43 (((( 92.94/12.43 (Y3) != 92.94/12.43 (Y4))) => 92.94/12.43 (( 92.94/12.43 (member1241905979_alt_o @ 92.94/12.43 Y2 @ 92.94/12.43 arrow_1982173296le_Lin) => 92.94/12.43 (( 92.94/12.43 (( 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 (Y0) != 92.94/12.43 (Y1))) & 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 (( 92.94/12.43 (Y1) = 92.94/12.43 (Y3))) => 92.94/12.43 (member285112084le_alt @ 92.94/12.43 ( 92.94/12.43 produc897867031le_alt @ 92.94/12.43 Y0 @ Y4) @ 92.94/12.43 Y2))) & 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 (( 92.94/12.43 (Y1) != 92.94/12.43 (Y3))) => 92.94/12.43 (( 92.94/12.43 (( 92.94/12.43 (( 92.94/12.43 (Y0) = 92.94/12.43 (Y3))) => 92.94/12.43 (( 92.94/12.43 (member285112084le_alt @ 92.94/12.43 ( 92.94/12.43 produc897867031le_alt @ 92.94/12.43 Y4 @ Y1) @ 92.94/12.43 Y2) | 92.94/12.43 (( 92.94/12.43 (Y1) = 92.94/12.43 (Y4))))))) & 92.94/12.43 (( 92.94/12.43 (( 92.94/12.43 (Y0) != 92.94/12.43 (Y3))) => 92.94/12.43 (member285112084le_alt @ 92.94/12.43 ( 92.94/12.43 produc897867031le_alt @ 92.94/12.43 Y0 @ Y1) @ 92.94/12.43 Y2))))))))) <=> 92.94/12.43 (member285112084le_alt @ 92.94/12.43 ( 92.94/12.43 produc897867031le_alt @ 92.94/12.43 Y0 @ Y1) @ 92.94/12.43 ( 92.94/12.43 arrow_1865170000_below @ 92.94/12.43 Y2 @ 92.94/12.43 Y3 @ Y4)))))))))))))))))))))))), 92.94/12.43 inference('cnf', [status(esa)], [fact_12_in__below])). 92.94/12.43 thf(zip_derived_cl77, plain, 92.94/12.43 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.43 ((('#B') @ ((('#B') @ (!!))) @ 92.94/12.43 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 92.94/12.43 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (!!))))))) @ 92.94/12.43 ((('#B') @ ((('#B') @ ((('#B') @ ((('#S') @ (( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#S') @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 =>))) @ 92.94/12.43 ( 92.94/12.43 !=))))))))))) @ 92.94/12.43 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ( 92.94/12.43 '#B') @ 92.94/12.43 ((('#B') @ ( 92.94/12.43 '#B') @ 92.94/12.43 ((('#B') @ ( 92.94/12.43 =>) @ 92.94/12.43 ((('#C') @ member1241905979_alt_o @ 92.94/12.43 arrow_1982173296le_Lin)))))))))))) @ 92.94/12.43 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.43 ((('#B') @ ((('#B') @ ('#S'))) @ 92.94/12.43 ((('#B') @ ((('#B') @ ((('#B') @ ( 92.94/12.43 '#S'))))) @ 92.94/12.43 ((('#B') @ ((('#B') @ ((('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#S'))))))) @ 92.94/12.43 ((('#B') @ ((('#B') @ ( 92.94/12.43 (('#B') @ ( 92.94/12.43 (('#B') @ ( 92.94/12.43 (('#B') @ (<=>))))))))) @ 92.94/12.43 ((('#S') @ ((('#B') @ ( 92.94/12.43 '#S') @ 92.94/12.43 ((('#B') @ ( 92.94/12.43 (('#B') @ ( 92.94/12.43 '#S'))) @ 92.94/12.43 ((('#B') @ ( 92.94/12.43 (('#B') @ ( 92.94/12.43 (('#B') @ ( 92.94/12.43 '#S'))))) @ 92.94/12.43 ((('#B') @ ( 92.94/12.43 (('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#S'))))))) @ 92.94/12.43 (( 92.94/12.43 ('#S') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#S') @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#B'))) @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#B'))) @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#B'))) @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 &))) @ 92.94/12.43 ( 92.94/12.43 !=))))))))))) @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#C') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#B') @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#C') @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#B'))) @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 =>))) @ 92.94/12.43 ( 92.94/12.43 =))))))))))) @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#C') @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ member285112084le_alt)) @ 92.94/12.43 produc897867031le_alt)))))))))))))))) @ 92.94/12.43 ((('#B') @ ((('#S') @ ( 92.94/12.43 (('#B') @ ( 92.94/12.43 '#B') @ 92.94/12.43 ((('#B') @ ( 92.94/12.43 '#S') @ 92.94/12.43 ((('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#B'))) @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 =>))) @ 92.94/12.43 ( 92.94/12.43 !=))))))))))) @ 92.94/12.43 ((('#S') @ ((('#B') @ ( 92.94/12.43 '#S') @ 92.94/12.43 ((('#B') @ ( 92.94/12.43 (('#B') @ ( 92.94/12.43 '#S'))) @ 92.94/12.43 (( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#S'))))) @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#C'))))))) @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 &))))))))) @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#C') @ ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#B') @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#B') @ 92.94/12.43 ( 92.94/12.43 ( 92.94/12.43 ('#B') @ ( 92.94/12.43 '#C') @ 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92.94/12.44 (( 92.94/12.44 ('#B') @ ( 92.94/12.44 '#B') @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 '#C') @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 =>))) @ 92.94/12.44 ( 92.94/12.44 !=))))))))) @ 92.94/12.44 ((('#B') @ (( 92.94/12.44 ('#B') @ member285112084le_alt)) @ 92.94/12.44 produc897867031le_alt)))))))))))))))))))) @ 92.94/12.44 ((('#C') @ ((('#B') @ ('#C') @ 92.94/12.44 ((('#B') @ ((('#B') @ ('#B'))) @ 92.94/12.44 ((('#B') @ ((('#B') @ ('#B'))) @ 92.94/12.44 ((('#B') @ ((('#B') @ ('#B'))) @ 92.94/12.44 ((('#B') @ ((('#B') @ member285112084le_alt)) @ 92.94/12.44 produc897867031le_alt)))))))))) @ 92.94/12.44 arrow_1865170000_below))))))))))))))))))), 92.94/12.44 inference('lams2combs', [status(thm)], [zip_derived_cl76])). 92.94/12.44 thf(zip_derived_cl1031, plain, 92.94/12.44 (![X2 : arrow_1389031998le_alt]: 92.94/12.44 (((!!) @ ((('#B') @ (!!) @ 92.94/12.44 ((('#B') @ ((('#B') @ (!!))) @ 92.94/12.44 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 92.94/12.44 ((('#B') @ ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 (('#B') @ (=>))) @ 92.94/12.44 (!=))))))))) @ 92.94/12.44 ((('#B') @ ((('#S') @ ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ (=>) @ 92.94/12.44 ((('#C') @ member1241905979_alt_o @ 92.94/12.44 arrow_1982173296le_Lin)))))))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ ('#S'))) @ 92.94/12.44 ((('#B') @ ((('#B') @ ((('#B') @ ( 92.94/12.44 '#S'))))) @ 92.94/12.44 ((('#B') @ ((('#B') @ ((('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 <=>))))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ( 92.94/12.44 '#S') @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 (('#B') @ ('#S'))) @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 '#S'))))) @ 92.94/12.44 ((('#S') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 '#B') @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 '#B') @ 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((('#B') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 =>))) @ 92.94/12.44 (!=))))))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ( 92.94/12.44 '#S') @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 '#S'))) @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 '#C'))))) @ 92.94/12.44 (( 92.94/12.44 ('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 &))))))) @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#C') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 '#B') @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 =>) @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 (arrow_1389031998le_alt) = 92.94/12.44 (X2))))))))))) @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#S') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 '#C') @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 '#S'))) @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 |))))) @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 '#C') @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ member285112084le_alt)) @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#C') @ produc897867031le_alt)))))))))))) @ 92.94/12.44 ( 92.94/12.44 =))))))))))))) @ 92.94/12.44 ((('#B') @ ((('#B') @ ( 92.94/12.44 (('#C') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 =>) @ 92.94/12.44 (( 92.94/12.44 (arrow_1389031998le_alt) != 92.94/12.44 (X2))))))))) @ 92.94/12.44 ((('#B') @ member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ 92.94/12.44 X2))))))))))))))))))) @ 92.94/12.44 ((('#C') @ ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2))))))))) @ 92.94/12.44 arrow_1865170000_below))))))))))))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl77])). 92.94/12.44 thf(zip_derived_cl1032, plain, 92.94/12.44 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt]: 92.94/12.44 (((!!) @ ((('#B') @ (!!) @ 92.94/12.44 ((('#B') @ ((('#B') @ (!!))) @ 92.94/12.44 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ (=>))) @ 92.94/12.44 (!=))))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ (=>) @ 92.94/12.44 ((('#C') @ member1241905979_alt_o @ 92.94/12.44 arrow_1982173296le_Lin)))))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ ('#S'))) @ 92.94/12.44 ((('#B') @ ((('#B') @ ((('#B') @ ( 92.94/12.44 <=>))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ ( 92.94/12.44 '#S'))) @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 ((&) @ ( 92.94/12.44 ((X2) != (X4))))))))) @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 (('#C') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 '#B') @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 =>) @ 92.94/12.44 (((arrow_1389031998le_alt) = 92.94/12.44 (X4))))))))) @ 92.94/12.44 ((('#C') @ ( 92.94/12.44 (('#B') @ member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ 92.94/12.44 X2))))))))))))) @ 92.94/12.44 ((('#B') @ ((('#S') @ ((('#B') @ ( 92.94/12.44 '#B') @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 =>) @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 (arrow_1389031998le_alt) != 92.94/12.44 (X4))))))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ( 92.94/12.44 '#S') @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 (('#B') @ ('#C'))) @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 (('#B') @ (&))))) @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 (('#C') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 '#B') @ 92.94/12.44 (( 92.94/12.44 ('#B') @ ( 92.94/12.44 =>) @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 (arrow_1389031998le_alt) = 92.94/12.44 (X2))))))))) @ 92.94/12.44 ((('#C') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 '#S') @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ ( 92.94/12.44 |))) @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#C') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ member285112084le_alt @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#C') @ produc897867031le_alt @ 92.94/12.44 X4)))))))))) @ 92.94/12.44 (( 92.94/12.44 (arrow_1389031998le_alt) = 92.94/12.44 (X4))))))))))))) @ 92.94/12.44 ((('#B') @ ((('#C') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 =>) @ 92.94/12.44 (((arrow_1389031998le_alt) != 92.94/12.44 (X2))))))) @ 92.94/12.44 (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ 92.94/12.44 X2 @ X4)))))))))))))))) @ 92.94/12.44 ((('#B') @ ((('#B') @ ((('#B') @ (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ 92.94/12.44 X2 @ X4)))))) @ 92.94/12.44 arrow_1865170000_below))))))))))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1031])). 92.94/12.44 thf(zip_derived_cl1033, plain, 92.94/12.44 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 92.94/12.44 X6 : produc1572197287le_alt > $o]: 92.94/12.44 (((!!) @ ((('#B') @ (!!) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ (=>))) @ (!=))))) @ 92.94/12.44 ((('#B') @ ((('#B') @ (((=>) @ (member1241905979_alt_o @ 92.94/12.44 X6 @ 92.94/12.44 arrow_1982173296le_Lin))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ (<=>))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ ( 92.94/12.44 ((&) @ ( 92.94/12.44 ((X2) != 92.94/12.44 (X4))))))) @ 92.94/12.44 ((('#C') @ ((('#B') @ ( 92.94/12.44 '#B') @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 =>) @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 (arrow_1389031998le_alt) = 92.94/12.44 (X4))))))) @ 92.94/12.44 ((('#C') @ ((('#B') @ member285112084le_alt @ 92.94/12.44 ( 92.94/12.44 produc897867031le_alt @ 92.94/12.44 X2))) @ 92.94/12.44 X6)))))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ (=>) @ 92.94/12.44 (((arrow_1389031998le_alt) != 92.94/12.44 (X4))))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#C') @ 92.94/12.44 ((('#B') @ ((('#B') @ ( 92.94/12.44 &))) @ 92.94/12.44 ((('#C') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 '#B') @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 =>) @ 92.94/12.44 (((arrow_1389031998le_alt) = 92.94/12.44 (X2))))))) @ 92.94/12.44 ((('#S') @ ( 92.94/12.44 (('#B') @ ( 92.94/12.44 |) @ 92.94/12.44 ((('#C') @ ( 92.94/12.44 (('#B') @ member285112084le_alt @ 92.94/12.44 ((('#C') @ produc897867031le_alt @ 92.94/12.44 X4)))) @ 92.94/12.44 X6)))) @ 92.94/12.44 (((arrow_1389031998le_alt) = 92.94/12.44 (X4))))))))))) @ 92.94/12.44 ((('#C') @ ((('#B') @ (=>) @ 92.94/12.44 (((arrow_1389031998le_alt) != 92.94/12.44 (X2))))) @ 92.94/12.44 (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ 92.94/12.44 X4) @ 92.94/12.44 X6))))))))))))) @ 92.94/12.44 ((('#B') @ ((('#B') @ (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ 92.94/12.44 X2 @ X4)))) @ 92.94/12.44 (arrow_1865170000_below @ X6)))))))))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1032])). 92.94/12.44 thf(zip_derived_cl1034, plain, 92.94/12.44 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 92.94/12.44 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt]: 92.94/12.44 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 92.94/12.44 (((arrow_1389031998le_alt) != (X8))))) @ 92.94/12.44 ((('#B') @ (((=>) @ (member1241905979_alt_o @ X6 @ 92.94/12.44 arrow_1982173296le_Lin))) @ 92.94/12.44 ((('#S') @ ((('#B') @ (<=>) @ 92.94/12.44 ((('#S') @ ((('#B') @ (((&) @ (((X2) != 92.94/12.44 (X4))))) @ 92.94/12.44 ((('#B') @ (((=>) @ (( 92.94/12.44 (X4) = 92.94/12.44 (X8))))) @ 92.94/12.44 ((('#C') @ ((('#B') @ member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ 92.94/12.44 X2))) @ 92.94/12.44 X6)))))) @ 92.94/12.44 ((('#B') @ (((=>) @ (((X4) != (X8))))) @ 92.94/12.44 ((('#C') @ ((('#B') @ (&) @ 92.94/12.44 ((('#B') @ (((=>) @ ( 92.94/12.44 ((X2) = (X8))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ( 92.94/12.44 |) @ 92.94/12.44 ((('#C') @ ( 92.94/12.44 ( 92.94/12.44 ('#B') @ member285112084le_alt @ 92.94/12.44 ( 92.94/12.44 ( 92.94/12.44 ('#C') @ produc897867031le_alt @ 92.94/12.44 X4)))) @ 92.94/12.44 X6)))) @ 92.94/12.44 (((arrow_1389031998le_alt) = 92.94/12.44 (X4))))))))) @ 92.94/12.44 (((((X2) != (X8))) => 92.94/12.44 (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4) @ 92.94/12.44 X6))))))))))) @ 92.94/12.44 ((('#B') @ (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4)) @ 92.94/12.44 (arrow_1865170000_below @ X6 @ X8)))))))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1033])). 92.94/12.44 thf(zip_derived_cl1035, plain, 92.94/12.44 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 92.94/12.44 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt, 92.94/12.44 X10 : arrow_1389031998le_alt]: 92.94/12.44 (((((X8) != (X10))) => 92.94/12.44 (((member1241905979_alt_o @ X6 @ arrow_1982173296le_Lin) => 92.94/12.44 (((((((X2) != (X4))) & 92.94/12.44 (((((X4) = (X8))) => (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X10) @ X6))) & 92.94/12.44 (((((X4) != (X8))) => 92.94/12.44 (((((((X2) = (X8))) => 92.94/12.44 (((member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X10 @ X4) @ X6) | 92.94/12.44 (((X4) = (X10))))))) & 92.94/12.44 (((((X2) != (X8))) => (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4) @ X6))))))))) <=> 92.94/12.44 (member285112084le_alt @ (produc897867031le_alt @ X2 @ X4) @ 92.94/12.44 (arrow_1865170000_below @ X6 @ X8 @ X10))))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1034])). 92.94/12.44 thf(zip_derived_cl575, plain, 92.94/12.44 (![X2 : produc1572197287le_alt > $o, 92.94/12.44 X4 : (produc1572197287le_alt > $o) > $o]: 92.94/12.44 ((member1241905979_alt_o @ X2 @ X4) = (X4 @ X2))), 92.94/12.44 inference('simplify nested equalities', [status(thm)], 92.94/12.44 [zip_derived_cl574])). 92.94/12.44 thf(zip_derived_cl578, plain, 92.94/12.44 (![X2 : produc1572197287le_alt, X4 : produc1572197287le_alt > $o]: 92.94/12.44 ((X4 @ X2) = (member285112084le_alt @ X2 @ X4))), 92.94/12.44 inference('simplify nested equalities', [status(thm)], 92.94/12.44 [zip_derived_cl577])). 92.94/12.44 thf(zip_derived_cl1036, plain, 92.94/12.44 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 92.94/12.44 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt, 92.94/12.44 X10 : arrow_1389031998le_alt]: 92.94/12.44 (((((X8) != (X10))) => 92.94/12.44 (((arrow_1982173296le_Lin @ X6) => 92.94/12.44 (((((((X2) != (X4))) & 92.94/12.44 (((((X4) = (X8))) => (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X10) @ X6))) & 92.94/12.44 (((((X4) != (X8))) => 92.94/12.44 (((((((X2) = (X8))) => 92.94/12.44 (((member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X10 @ X4) @ X6) | 92.94/12.44 (((X4) = (X10))))))) & 92.94/12.44 (((((X2) != (X8))) => (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4) @ X6))))))))) <=> 92.94/12.44 (arrow_1865170000_below @ X6 @ X8 @ X10 @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4))))))))), 92.94/12.44 inference('demod', [status(thm)], 92.94/12.44 [zip_derived_cl1035, zip_derived_cl575, zip_derived_cl578])). 92.94/12.44 thf(zip_derived_cl1037, plain, 92.94/12.44 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 92.94/12.44 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt, 92.94/12.44 X10 : arrow_1389031998le_alt]: 92.94/12.44 (~ (((X8) != (X10))) 92.94/12.44 | (((arrow_1982173296le_Lin @ X6) => 92.94/12.44 (((((((X2) != (X4))) & 92.94/12.44 (((((X4) = (X8))) => (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X10) @ X6))) & 92.94/12.44 (((((X4) != (X8))) => 92.94/12.44 (((((((X2) = (X8))) => 92.94/12.44 (((member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X10 @ X4) @ X6) | 92.94/12.44 (((X4) = (X10))))))) & 92.94/12.44 (((((X2) != (X8))) => (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4) @ X6))))))))) <=> 92.94/12.44 (arrow_1865170000_below @ X6 @ X8 @ X10 @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4)))))))), 92.94/12.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1036])). 92.94/12.44 thf(zip_derived_cl1038, plain, 92.94/12.44 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 92.94/12.44 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt, 92.94/12.44 X10 : arrow_1389031998le_alt]: 92.94/12.44 (((X8) = (X10)) 92.94/12.44 | (((arrow_1982173296le_Lin @ X6) => 92.94/12.44 (((((((X2) != (X4))) & 92.94/12.44 (((((X4) = (X8))) => (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X10) @ X6))) & 92.94/12.44 (((((X4) != (X8))) => 92.94/12.44 (((((((X2) = (X8))) => 92.94/12.44 (((member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X10 @ X4) @ X6) | 92.94/12.44 (((X4) = (X10))))))) & 92.94/12.44 (((((X2) != (X8))) => (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4) @ X6))))))))) <=> 92.94/12.44 (arrow_1865170000_below @ X6 @ X8 @ X10 @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4)))))))), 92.94/12.44 inference('simplify nested equalities', [status(thm)], 92.94/12.44 [zip_derived_cl1037])). 92.94/12.44 thf(zip_derived_cl1039, plain, 92.94/12.44 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 92.94/12.44 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt, 92.94/12.44 X10 : arrow_1389031998le_alt]: 92.94/12.44 (~ (arrow_1982173296le_Lin @ X6) 92.94/12.44 | (((((((X2) != (X4))) & 92.94/12.44 (((((X4) = (X8))) => (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X10) @ X6))) & 92.94/12.44 (((((X4) != (X8))) => 92.94/12.44 (((((((X2) = (X8))) => 92.94/12.44 (((member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X10 @ X4) @ X6) | 92.94/12.44 (((X4) = (X10))))))) & 92.94/12.44 (((((X2) != (X8))) => (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4) @ X6))))))))) <=> 92.94/12.44 (arrow_1865170000_below @ X6 @ X8 @ X10 @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4)))) 92.94/12.44 | ((X8) = (X10)))), 92.94/12.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1038])). 92.94/12.44 thf(zip_derived_cl1040, plain, 92.94/12.44 (![X2 : arrow_1389031998le_alt, X4 : arrow_1389031998le_alt, 92.94/12.44 X6 : produc1572197287le_alt > $o, X8 : arrow_1389031998le_alt, 92.94/12.44 X10 : arrow_1389031998le_alt]: 92.94/12.44 (~ (arrow_1982173296le_Lin @ X6) 92.94/12.44 | ((((((X2) != (X4))) & 92.94/12.44 (((((X4) = (X8))) => (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X10) @ X6))) & 92.94/12.44 (((((X4) != (X8))) => 92.94/12.44 (((((((X2) = (X8))) => 92.94/12.44 (((member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X10 @ X4) @ X6) | 92.94/12.44 (((X4) = (X10))))))) & 92.94/12.44 (((((X2) != (X8))) => (member285112084le_alt @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4) @ X6))))))))) 92.94/12.44 = (arrow_1865170000_below @ X6 @ X8 @ X10 @ 92.94/12.44 (produc897867031le_alt @ X2 @ X4))) 92.94/12.44 | ((X8) = (X10)))), 92.94/12.44 inference('simplify nested equalities', [status(thm)], 92.94/12.44 [zip_derived_cl1039])). 92.94/12.44 thf(fact_320_mem__def, axiom, 92.94/12.44 (![X_102:( arrow_1196572341e_indi > produc1572197287le_alt > $o ), 92.94/12.44 A_36:( ( arrow_1196572341e_indi > produc1572197287le_alt > $o ) > $o )]: 92.94/12.44 ( ( member822980838_alt_o @ X_102 @ A_36 ) <=> ( A_36 @ X_102 ) ))). 92.94/12.44 thf(zip_derived_cl190, plain, 92.94/12.44 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi > produc1572197287le_alt > $o]: 92.94/12.44 (((!!) @ (^[Y1 : (arrow_1196572341e_indi > 92.94/12.44 produc1572197287le_alt > $o) > $o]: 92.94/12.44 (((member822980838_alt_o @ Y0 @ Y1) <=> (Y1 @ 92.94/12.44 Y0)))))))))), 92.94/12.44 inference('cnf', [status(esa)], [fact_320_mem__def])). 92.94/12.44 thf(zip_derived_cl191, plain, 92.94/12.44 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ (<=>))) @ 92.94/12.44 member822980838_alt_o)))) @ 92.94/12.44 ((('#C') @ ('#I')))))))))), 92.94/12.44 inference('lams2combs', [status(thm)], [zip_derived_cl190])). 92.94/12.44 thf(zip_derived_cl570, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o]: 92.94/12.44 (((!!) @ ((('#S') @ ((('#B') @ (<=>) @ (member822980838_alt_o @ X2))) @ 92.94/12.44 ((('#C') @ ('#I') @ X2))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl191])). 92.94/12.44 thf(zip_derived_cl571, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 92.94/12.44 (((member822980838_alt_o @ X2 @ X4) <=> (X4 @ X2)))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl570])). 92.94/12.44 thf(zip_derived_cl572, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 92.94/12.44 ((member822980838_alt_o @ X2 @ X4) = (X4 @ X2))), 92.94/12.44 inference('simplify nested equalities', [status(thm)], 92.94/12.44 [zip_derived_cl571])). 92.94/12.44 thf(fact_130_funcset__mem, axiom, 92.94/12.44 (![X_106:arrow_1196572341e_indi, 92.94/12.44 F_20:( arrow_1196572341e_indi > produc1572197287le_alt > $o ), 92.94/12.44 A_43:( arrow_1196572341e_indi > $o ), 92.94/12.44 B_34:( ( produc1572197287le_alt > $o ) > $o )]: 92.94/12.44 ( ( member822980838_alt_o @ 92.94/12.44 F_20 @ 92.94/12.44 ( pi_Arr1309696186_alt_o @ 92.94/12.44 A_43 @ ( ^[Uu:arrow_1196572341e_indi]: ( B_34 ) ) ) ) => 92.94/12.44 ( ( member1818997282e_indi @ X_106 @ A_43 ) => 92.94/12.44 ( member1241905979_alt_o @ ( F_20 @ X_106 ) @ B_34 ) ) ))). 92.94/12.44 thf(zip_derived_cl232, plain, 92.94/12.44 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi]: 92.94/12.44 (((!!) @ (^[Y1 : arrow_1196572341e_indi > 92.94/12.44 produc1572197287le_alt > $o]: 92.94/12.44 (((!!) @ (^[Y2 : arrow_1196572341e_indi > $o]: 92.94/12.44 (((!!) @ (^[Y3 : (produc1572197287le_alt > $o) > $o]: 92.94/12.44 (((member822980838_alt_o @ 92.94/12.44 Y1 @ 92.94/12.44 (pi_Arr1309696186_alt_o @ 92.94/12.44 Y2 @ 92.94/12.44 (^[Y4 : arrow_1196572341e_indi]: 92.94/12.44 (Y3)))) => 92.94/12.44 (((member1818997282e_indi @ 92.94/12.44 Y0 @ Y2) => 92.94/12.44 (member1241905979_alt_o @ 92.94/12.44 (Y1 @ Y0) @ Y3)))))))))))))))))), 92.94/12.44 inference('cnf', [status(esa)], [fact_130_funcset__mem])). 92.94/12.44 thf(zip_derived_cl233, plain, 92.94/12.44 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.44 ((('#B') @ ((('#B') @ (!!))) @ 92.94/12.44 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 92.94/12.44 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ ('#S'))) @ 92.94/12.44 ((('#B') @ ((('#B') @ ( 92.94/12.44 (('#B') @ (=>))))) @ 92.94/12.44 ((('#C') @ ((('#B') @ ( 92.94/12.44 '#B') @ 92.94/12.44 ((('#B') @ ( 92.94/12.44 '#B') @ 92.94/12.44 member822980838_alt_o)))) @ 92.94/12.44 ((('#C') @ ((('#B') @ ( 92.94/12.44 '#B') @ 92.94/12.44 pi_Arr1309696186_alt_o)) @ 92.94/12.44 ('#K'))))))))))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ ('#C') @ 92.94/12.44 ((('#B') @ ((('#B') @ ('#B'))) @ 92.94/12.44 ((('#B') @ ((('#B') @ (=>))) @ 92.94/12.44 member1818997282e_indi)))))))) @ 92.94/12.44 ((('#B') @ ((('#B') @ member1241905979_alt_o)) @ 92.94/12.44 ((('#C') @ ('#I')))))))))))))))))), 92.94/12.44 inference('lams2combs', [status(thm)], [zip_derived_cl232])). 92.94/12.44 thf(zip_derived_cl1099, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi]: 92.94/12.44 (((!!) @ ((('#B') @ (!!) @ 92.94/12.44 ((('#B') @ ((('#B') @ (!!))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ ('#S'))) @ 92.94/12.44 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 92.94/12.44 ((('#C') @ ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ ('#B') @ 92.94/12.44 member822980838_alt_o)))) @ 92.94/12.44 ((('#C') @ ((('#B') @ ('#B') @ 92.94/12.44 pi_Arr1309696186_alt_o)) @ 92.94/12.44 ('#K'))))))))))) @ 92.94/12.44 ((('#B') @ ((('#C') @ ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ (=>) @ 92.94/12.44 (member1818997282e_indi @ X2))))))) @ 92.94/12.44 ((('#B') @ member1241905979_alt_o @ 92.94/12.44 ((('#C') @ ('#I') @ X2))))))))))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl233])). 92.94/12.44 thf(zip_derived_cl1100, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi, 92.94/12.44 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o]: 92.94/12.44 (((!!) @ ((('#B') @ (!!) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ (=>))) @ 92.94/12.44 ((('#B') @ ((('#B') @ (member822980838_alt_o @ 92.94/12.44 X4))) @ 92.94/12.44 ((('#C') @ ((('#B') @ ('#B') @ 92.94/12.44 pi_Arr1309696186_alt_o)) @ 92.94/12.44 ('#K'))))))))) @ 92.94/12.44 ((('#C') @ ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ (=>) @ 92.94/12.44 (member1818997282e_indi @ X2))))) @ 92.94/12.44 (member1241905979_alt_o @ (X4 @ X2))))))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1099])). 92.94/12.44 thf(zip_derived_cl1101, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi, 92.94/12.44 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X6 : arrow_1196572341e_indi > $o]: 92.94/12.44 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 92.94/12.44 ((('#B') @ (member822980838_alt_o @ X4) @ 92.94/12.44 ((('#B') @ (pi_Arr1309696186_alt_o @ X6) @ 92.94/12.44 ('#K'))))))) @ 92.94/12.44 ((('#B') @ (((=>) @ (member1818997282e_indi @ X2 @ X6))) @ 92.94/12.44 (member1241905979_alt_o @ (X4 @ X2))))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1100])). 92.94/12.44 thf(zip_derived_cl1102, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi, 92.94/12.44 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X6 : arrow_1196572341e_indi > $o, 92.94/12.44 X8 : (produc1572197287le_alt > $o) > $o]: 92.94/12.44 (((member822980838_alt_o @ X4 @ 92.94/12.44 (pi_Arr1309696186_alt_o @ X6 @ ((('#K') @ X8)))) => 92.94/12.44 (((member1818997282e_indi @ X2 @ X6) => (member1241905979_alt_o @ 92.94/12.44 (X4 @ X2) @ X8)))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1101])). 92.94/12.44 thf(zip_derived_cl572, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 92.94/12.44 ((member822980838_alt_o @ X2 @ X4) = (X4 @ X2))), 92.94/12.44 inference('simplify nested equalities', [status(thm)], 92.94/12.44 [zip_derived_cl571])). 92.94/12.44 thf(zip_derived_cl1103, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi, 92.94/12.44 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X6 : arrow_1196572341e_indi > $o, 92.94/12.44 X8 : (produc1572197287le_alt > $o) > $o]: 92.94/12.44 (((pi_Arr1309696186_alt_o @ X6 @ ((('#K') @ X8)) @ X4) => 92.94/12.44 (((member1818997282e_indi @ X2 @ X6) => (member1241905979_alt_o @ 92.94/12.44 (X4 @ X2) @ X8)))))), 92.94/12.44 inference('demod', [status(thm)], [zip_derived_cl1102, zip_derived_cl572])). 92.94/12.44 thf(zip_derived_cl1104, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi, 92.94/12.44 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X6 : arrow_1196572341e_indi > $o, 92.94/12.44 X8 : (produc1572197287le_alt > $o) > $o]: 92.94/12.44 (~ (pi_Arr1309696186_alt_o @ X6 @ ((('#K') @ X8)) @ X4) 92.94/12.44 | (((member1818997282e_indi @ X2 @ X6) => (member1241905979_alt_o @ 92.94/12.44 (X4 @ X2) @ X8))))), 92.94/12.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1103])). 92.94/12.44 thf(zip_derived_cl1105, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi, 92.94/12.44 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X6 : arrow_1196572341e_indi > $o, 92.94/12.44 X8 : (produc1572197287le_alt > $o) > $o]: 92.94/12.44 (~ (member1818997282e_indi @ X2 @ X6) 92.94/12.44 | (member1241905979_alt_o @ (X4 @ X2) @ X8) 92.94/12.44 | ~ (pi_Arr1309696186_alt_o @ X6 @ ((('#K') @ X8)) @ X4))), 92.94/12.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1104])). 92.94/12.44 thf(zip_derived_cl10428, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi, 92.94/12.44 X4 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X6 : arrow_1196572341e_indi > $o, 92.94/12.44 X8 : (produc1572197287le_alt > $o) > $o]: 92.94/12.44 (~ (member1818997282e_indi @ X2 @ X6) 92.94/12.44 | (member1241905979_alt_o @ (X4 @ X2) @ X8) 92.94/12.44 | ~ (pi_Arr1309696186_alt_o @ X6 @ ('#ty_enc67' @ X8) @ X4))), 92.94/12.44 inference('remove_ty_args', [status(thm)], [zip_derived_cl1105])). 92.94/12.44 thf(fact_0__096P_A_058_AProf_096, axiom, 92.94/12.44 (member822980838_alt_o @ p @ arrow_1647925946e_Prof)). 92.94/12.44 thf(zip_derived_cl184, plain, 92.94/12.44 ( (member822980838_alt_o @ p @ arrow_1647925946e_Prof)), 92.94/12.44 inference('cnf', [status(esa)], [fact_0__096P_A_058_AProf_096])). 92.94/12.44 thf(fact_340_Prof__def, axiom, 92.94/12.44 (( arrow_1647925946e_Prof ) = 92.94/12.44 ( pi_Arr1309696186_alt_o @ 92.94/12.44 top_to54564308indi_o @ 92.94/12.44 ( ^[Uu:arrow_1196572341e_indi]: ( arrow_1982173296le_Lin ) ) ))). 92.94/12.44 thf(zip_derived_cl147, plain, 92.94/12.44 (((arrow_1647925946e_Prof) 92.94/12.44 = (pi_Arr1309696186_alt_o @ top_to54564308indi_o @ 92.94/12.44 (^[Y0 : arrow_1196572341e_indi]: (arrow_1982173296le_Lin))))), 92.94/12.44 inference('cnf', [status(esa)], [fact_340_Prof__def])). 92.94/12.44 thf(zip_derived_cl148, plain, 92.94/12.44 (((arrow_1647925946e_Prof) 92.94/12.44 = (pi_Arr1309696186_alt_o @ top_to54564308indi_o @ 92.94/12.44 ((('#K') @ arrow_1982173296le_Lin))))), 92.94/12.44 inference('lams2combs', [status(thm)], [zip_derived_cl147])). 92.94/12.44 thf(zip_derived_cl10411, plain, 92.94/12.44 (((arrow_1647925946e_Prof) 92.94/12.44 = (pi_Arr1309696186_alt_o @ top_to54564308indi_o @ 92.94/12.44 ('#ty_enc67' @ arrow_1982173296le_Lin)))), 92.94/12.44 inference('remove_ty_args', [status(thm)], [zip_derived_cl148])). 92.94/12.44 thf(fact_946_set__mp, axiom, 92.94/12.44 (![X_9:( arrow_1196572341e_indi > produc1572197287le_alt > $o ), 92.94/12.44 A_8:( ( arrow_1196572341e_indi > produc1572197287le_alt > $o ) > $o ), 92.94/12.44 B_5:( ( arrow_1196572341e_indi > produc1572197287le_alt > $o ) > $o )]: 92.94/12.44 ( ( ord_le602483040lt_o_o @ A_8 @ B_5 ) => 92.94/12.44 ( ( member822980838_alt_o @ X_9 @ A_8 ) => 92.94/12.44 ( member822980838_alt_o @ X_9 @ B_5 ) ) ))). 92.94/12.44 thf(zip_derived_cl153, plain, 92.94/12.44 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi > produc1572197287le_alt > $o]: 92.94/12.44 (((!!) @ (^[Y1 : (arrow_1196572341e_indi > 92.94/12.44 produc1572197287le_alt > $o) > $o]: 92.94/12.44 (((!!) @ (^[Y2 : (arrow_1196572341e_indi > 92.94/12.44 produc1572197287le_alt > $o) > $o]: 92.94/12.44 (((ord_le602483040lt_o_o @ Y1 @ 92.94/12.44 Y2) => 92.94/12.44 (((member822980838_alt_o @ Y0 @ 92.94/12.44 Y1) => 92.94/12.44 (member822980838_alt_o @ Y0 @ 92.94/12.44 Y2))))))))))))))), 92.94/12.44 inference('cnf', [status(esa)], [fact_946_set__mp])). 92.94/12.44 thf(zip_derived_cl154, plain, 92.94/12.44 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.44 ((('#B') @ ((('#B') @ (!!))) @ 92.94/12.44 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ (=>))) @ 92.94/12.44 ord_le602483040lt_o_o)))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#C') @ 92.94/12.44 ((('#B') @ ((('#B') @ ('#B'))) @ 92.94/12.44 ((('#B') @ ((('#B') @ (=>))) @ 92.94/12.44 member822980838_alt_o)))))) @ 92.94/12.44 member822980838_alt_o))))))))))), 92.94/12.44 inference('lams2combs', [status(thm)], [zip_derived_cl153])). 92.94/12.44 thf(zip_derived_cl750, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o]: 92.94/12.44 (((!!) @ ((('#B') @ (!!) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ (=>))) @ 92.94/12.44 ord_le602483040lt_o_o)))) @ 92.94/12.44 ((('#C') @ ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ (=>) @ 92.94/12.44 (member822980838_alt_o @ X2))))) @ 92.94/12.44 (member822980838_alt_o @ X2)))))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl154])). 92.94/12.44 thf(zip_derived_cl751, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 92.94/12.44 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (ord_le602483040lt_o_o @ X4))) @ 92.94/12.44 ((('#B') @ (((=>) @ (member822980838_alt_o @ X2 @ X4))) @ 92.94/12.44 (member822980838_alt_o @ X2)))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl750])). 92.94/12.44 thf(zip_derived_cl752, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o, 92.94/12.44 X6 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 92.94/12.44 (((ord_le602483040lt_o_o @ X4 @ X6) => 92.94/12.44 (((member822980838_alt_o @ X2 @ X4) => (member822980838_alt_o @ 92.94/12.44 X2 @ X6)))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl751])). 92.94/12.44 thf(zip_derived_cl753, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o, 92.94/12.44 X6 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 92.94/12.44 (~ (ord_le602483040lt_o_o @ X4 @ X6) 92.94/12.44 | (((member822980838_alt_o @ X2 @ X4) => (member822980838_alt_o @ 92.94/12.44 X2 @ X6))))), 92.94/12.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl752])). 92.94/12.44 thf(zip_derived_cl754, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > produc1572197287le_alt > $o, 92.94/12.44 X4 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o, 92.94/12.44 X6 : (arrow_1196572341e_indi > produc1572197287le_alt > $o) > $o]: 92.94/12.44 (~ (member822980838_alt_o @ X2 @ X4) 92.94/12.44 | (member822980838_alt_o @ X2 @ X6) 92.94/12.44 | ~ (ord_le602483040lt_o_o @ X4 @ X6))), 92.94/12.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl753])). 92.94/12.44 thf(fact_349_top1I, axiom, 92.94/12.44 (![X_97:arrow_1196572341e_indi]: ( top_to54564308indi_o @ X_97 ))). 92.94/12.44 thf(zip_derived_cl274, plain, 92.94/12.44 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi]: (top_to54564308indi_o @ Y0))))), 92.94/12.44 inference('cnf', [status(esa)], [fact_349_top1I])). 92.94/12.44 thf(zip_derived_cl275, plain, ( (((!!) @ top_to54564308indi_o))), 92.94/12.44 inference('lams2combs', [status(thm)], [zip_derived_cl274])). 92.94/12.44 thf(zip_derived_cl403, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi]: (top_to54564308indi_o @ X2)), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl275])). 92.94/12.44 thf(fact_989_top__greatest, axiom, 92.94/12.44 (![A_3:( arrow_1196572341e_indi > $o )]: 92.94/12.44 ( ord_le865407012indi_o @ A_3 @ top_to54564308indi_o ))). 92.94/12.44 thf(zip_derived_cl250, plain, 92.94/12.44 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi > $o]: 92.94/12.44 (ord_le865407012indi_o @ Y0 @ top_to54564308indi_o))))), 92.94/12.44 inference('cnf', [status(esa)], [fact_989_top__greatest])). 92.94/12.44 thf(zip_derived_cl251, plain, 92.94/12.44 ( (((!!) @ ((('#C') @ ord_le865407012indi_o @ top_to54564308indi_o))))), 92.94/12.44 inference('lams2combs', [status(thm)], [zip_derived_cl250])). 92.94/12.44 thf(zip_derived_cl417, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > $o]: 92.94/12.44 (ord_le865407012indi_o @ X2 @ top_to54564308indi_o)), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl251])). 92.94/12.44 thf(fact_921_Pi__anti__mono, axiom, 92.94/12.44 (![B_8:( arrow_1196572341e_indi > ( produc1572197287le_alt > $o ) > $o ), 92.94/12.44 A_12:( arrow_1196572341e_indi > $o ), 92.94/12.44 A_11:( arrow_1196572341e_indi > $o )]: 92.94/12.44 ( ( ord_le865407012indi_o @ A_12 @ A_11 ) => 92.94/12.44 ( ord_le602483040lt_o_o @ 92.94/12.44 ( pi_Arr1309696186_alt_o @ A_11 @ B_8 ) @ 92.94/12.44 ( pi_Arr1309696186_alt_o @ A_12 @ B_8 ) ) ))). 92.94/12.44 thf(zip_derived_cl206, plain, 92.94/12.44 ( (((!!) @ (^[Y0 : arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o]: 92.94/12.44 (((!!) @ (^[Y1 : arrow_1196572341e_indi > $o]: 92.94/12.44 (((!!) @ (^[Y2 : arrow_1196572341e_indi > $o]: 92.94/12.44 (((ord_le865407012indi_o @ Y1 @ 92.94/12.44 Y2) => (ord_le602483040lt_o_o @ 92.94/12.44 (pi_Arr1309696186_alt_o @ Y2 @ Y0) @ 92.94/12.44 (pi_Arr1309696186_alt_o @ Y1 @ Y0)))))))))))))), 92.94/12.44 inference('cnf', [status(esa)], [fact_921_Pi__anti__mono])). 92.94/12.44 thf(zip_derived_cl207, plain, 92.94/12.44 ( (((!!) @ ((('#B') @ (!!) @ 92.94/12.44 ((('#B') @ ((('#B') @ (!!))) @ 92.94/12.44 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ (=>))) @ 92.94/12.44 ord_le865407012indi_o)))))) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#B') @ 92.94/12.44 ((('#B') @ ('#C') @ 92.94/12.44 ((('#B') @ ((('#B') @ ord_le602483040lt_o_o)) @ 92.94/12.44 ((('#C') @ pi_Arr1309696186_alt_o)))))))) @ 92.94/12.44 ((('#C') @ pi_Arr1309696186_alt_o))))))))))))), 92.94/12.44 inference('lams2combs', [status(thm)], [zip_derived_cl206])). 92.94/12.44 thf(zip_derived_cl811, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o]: 92.94/12.44 (((!!) @ ((('#B') @ (!!) @ 92.94/12.44 ((('#S') @ ((('#B') @ ('#S') @ 92.94/12.44 ((('#B') @ ((('#B') @ (=>))) @ 92.94/12.44 ord_le865407012indi_o)))) @ 92.94/12.44 ((('#B') @ ((('#C') @ ((('#B') @ ord_le602483040lt_o_o @ 92.94/12.44 ((('#C') @ pi_Arr1309696186_alt_o @ 92.94/12.44 X2)))))) @ 92.94/12.44 ((('#C') @ pi_Arr1309696186_alt_o @ X2))))))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl207])). 92.94/12.44 thf(zip_derived_cl812, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o, 92.94/12.44 X4 : arrow_1196572341e_indi > $o]: 92.94/12.44 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (ord_le865407012indi_o @ X4))) @ 92.94/12.44 ((('#C') @ ((('#B') @ ord_le602483040lt_o_o @ 92.94/12.44 ((('#C') @ pi_Arr1309696186_alt_o @ X2)))) @ 92.94/12.44 (pi_Arr1309696186_alt_o @ X4 @ X2)))))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl811])). 92.94/12.44 thf(zip_derived_cl813, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o, 92.94/12.44 X4 : arrow_1196572341e_indi > $o, X6 : arrow_1196572341e_indi > $o]: 92.94/12.44 (((ord_le865407012indi_o @ X4 @ X6) => (ord_le602483040lt_o_o @ 92.94/12.44 (pi_Arr1309696186_alt_o @ X6 @ X2) @ 92.94/12.44 (pi_Arr1309696186_alt_o @ X4 @ X2))))), 92.94/12.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl812])). 92.94/12.44 thf(zip_derived_cl814, plain, 92.94/12.44 (![X2 : arrow_1196572341e_indi > (produc1572197287le_alt > $o) > $o, 92.94/12.44 X4 : arrow_1196572341e_indi > $o, X6 : arrow_1196572341e_indi > $o]: 92.94/12.44 (~ (ord_le865407012indi_o @ X4 @ X6) 92.94/12.44 | (ord_le602483040lt_o_o @ (pi_Arr1309696186_alt_o @ X6 @ X2) @ 92.94/12.44 (pi_Arr1309696186_alt_o @ X4 @ X2)))), 92.94/12.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl813])). 92.94/12.44 thf(zip_derived_cl10433, plain, ($false), 92.94/12.44 inference('eprover', [status(thm)], 92.94/12.44 [zip_derived_cl38, zip_derived_cl439, zip_derived_cl456, 92.94/12.44 zip_derived_cl555, zip_derived_cl428, zip_derived_cl779, 92.94/12.44 zip_derived_cl595, zip_derived_cl744, zip_derived_cl575, 92.94/12.44 zip_derived_cl578, zip_derived_cl491, zip_derived_cl546, 92.94/12.44 zip_derived_cl733, zip_derived_cl579, zip_derived_cl415, 92.94/12.44 zip_derived_cl1040, zip_derived_cl572, zip_derived_cl10428, 92.94/12.44 zip_derived_cl184, zip_derived_cl10411, zip_derived_cl754, 92.94/12.44 zip_derived_cl403, zip_derived_cl417, zip_derived_cl814])). 92.94/12.44 92.94/12.44 % SZS output end Refutation 92.94/12.44 92.94/12.44 92.94/12.44 % Terminating... 92.94/12.55 % Runner terminated. 92.94/12.55 % Zipperpin 1.5 exiting 92.94/12.56 EOF