0.04/0.24 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.25 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xwTafhwNas true 0.09/0.44 % Computer : n015.cluster.edu 0.09/0.44 % Model : x86_64 x86_64 0.09/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.44 % Memory : 8042.1875MB 0.09/0.44 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.44 % CPULimit : 960 0.09/0.44 % WCLimit : 120 0.09/0.44 % DateTime : Tue Aug 9 08:01:11 EDT 2022 0.09/0.46 % CPUTime : 0.09/0.46 % Running portfolio for 960 s 0.09/0.46 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.09/0.46 % Number of cores: 8 0.09/0.48 % Python version: Python 3.6.8 0.13/0.49 % Running in HO mode 0.21/0.73 % Total configuration time : 828 0.21/0.73 % Estimated wc time : 1656 0.21/0.73 % Estimated cpu time (8 cpus) : 207.0 0.22/0.85 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.22/0.88 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.22/0.88 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.22/0.88 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.22/0.88 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.22/0.90 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.22/0.90 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.22/0.92 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 148.14/30.83 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 148.14/30.89 % Solved by lams/35_full_unif4.sh. 148.14/30.89 % done 5624 iterations in 29.963s 148.14/30.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 148.14/30.89 % SZS output start Refutation 148.14/30.89 thf(a_type, type, a: $tType). 148.14/30.89 thf('#sk3_type', type, '#sk3': a > a > $o). 148.14/30.89 thf('#sk1_type', type, '#sk1': (a > $o) > $o). 148.14/30.89 thf('#sk48_type', type, '#sk48': a > $o). 148.14/30.89 thf('#sk2_type', type, '#sk2': (a > $o) > $o). 148.14/30.89 thf('#sk6_type', type, '#sk6': a > a > $o). 148.14/30.89 thf('#sk92_type', type, '#sk92': a > a). 148.14/30.89 thf('#sk60_type', type, '#sk60': a > a). 148.14/30.89 thf('#sk18_type', type, '#sk18': a > a > a > $o). 148.14/30.89 thf('#sk19_type', type, '#sk19': a > a > a > $o). 148.14/30.89 thf('#sk11_type', type, '#sk11': (a > $o) > a). 148.14/30.89 thf(cTHM266_LEMMA_pme, conjecture, 148.14/30.89 (![T:( ( a > $o ) > $o ),U:( ( a > $o ) > $o )]: 148.14/30.89 ( ( ( ![Xx:a]: 148.14/30.89 ( ?[Xp:( a > $o )]: 148.14/30.89 ( ( ![Xq:( a > $o )]: 148.14/30.89 ( ( ( T @ Xq ) & ( Xq @ Xx ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 148.14/30.89 ( Xp @ Xx ) & ( T @ Xp ) ) ) ) & 148.14/30.89 ( ![Xp:( a > $o )]: ( ( U @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 148.14/30.89 ( ![Xx:a]: 148.14/30.89 ( ?[Xp:( a > $o )]: 148.14/30.89 ( ( U @ Xp ) & 148.14/30.89 ( ![Xq:( a > $o )]: 148.14/30.89 ( ( ( Xq @ Xx ) & ( U @ Xq ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 148.14/30.89 ( Xp @ Xx ) ) ) ) & 148.14/30.89 ( ![Xp:( a > $o )]: ( ( T @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 148.14/30.89 ( ( T ) != ( U ) ) ) => 148.14/30.89 ( ?[Xx:a,Xy:a]: 148.14/30.89 ( ( ( ![Xq:( a > $o )]: 148.14/30.89 ( ( U @ Xq ) => ( ( ~( Xq @ Xx ) ) | ( ~( Xq @ Xy ) ) ) ) ) & 148.14/30.89 ( ?[Xs:( a > $o )]: ( ( Xs @ Xy ) & ( Xs @ Xx ) & ( T @ Xs ) ) ) ) | 148.14/30.89 ( ( ![Xq:( a > $o )]: 148.14/30.89 ( ( T @ Xq ) => ( ( ~( Xq @ Xy ) ) | ( ~( Xq @ Xx ) ) ) ) ) & 148.14/30.89 ( ?[Xs:( a > $o )]: ( ( U @ Xs ) & ( Xs @ Xx ) & ( Xs @ Xy ) ) ) ) ) ) ))). 148.14/30.89 thf(zf_stmt_0, negated_conjecture, 148.14/30.89 (~( ![T:( ( a > $o ) > $o ),U:( ( a > $o ) > $o )]: 148.14/30.89 ( ( ( ![Xx:a]: 148.14/30.89 ( ?[Xp:( a > $o )]: 148.14/30.89 ( ( ![Xq:( a > $o )]: 148.14/30.89 ( ( ( T @ Xq ) & ( Xq @ Xx ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 148.14/30.89 ( Xp @ Xx ) & ( T @ Xp ) ) ) ) & 148.14/30.89 ( ![Xp:( a > $o )]: ( ( U @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 148.14/30.89 ( ![Xx:a]: 148.14/30.89 ( ?[Xp:( a > $o )]: 148.14/30.89 ( ( U @ Xp ) & 148.14/30.89 ( ![Xq:( a > $o )]: 148.14/30.89 ( ( ( Xq @ Xx ) & ( U @ Xq ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 148.14/30.89 ( Xp @ Xx ) ) ) ) & 148.14/30.89 ( ![Xp:( a > $o )]: ( ( T @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 148.14/30.89 ( ( T ) != ( U ) ) ) => 148.14/30.89 ( ?[Xx:a,Xy:a]: 148.14/30.89 ( ( ( ![Xq:( a > $o )]: 148.14/30.89 ( ( U @ Xq ) => ( ( ~( Xq @ Xx ) ) | ( ~( Xq @ Xy ) ) ) ) ) & 148.14/30.89 ( ?[Xs:( a > $o )]: ( ( Xs @ Xy ) & ( Xs @ Xx ) & ( T @ Xs ) ) ) ) | 148.14/30.89 ( ( ![Xq:( a > $o )]: 148.14/30.89 ( ( T @ Xq ) => ( ( ~( Xq @ Xy ) ) | ( ~( Xq @ Xx ) ) ) ) ) & 148.14/30.89 ( ?[Xs:( a > $o )]: ( ( U @ Xs ) & ( Xs @ Xx ) & ( Xs @ Xy ) ) ) ) ) ) ) )), 148.14/30.89 inference('cnf.neg', [status(esa)], [cTHM266_LEMMA_pme])). 148.14/30.89 thf(zip_derived_cl0, plain, 148.14/30.89 (~ (((!!) @ (^[Y0 : (a > $o) > $o]: 148.14/30.89 (((!!) @ (^[Y1 : (a > $o) > $o]: 148.14/30.89 (((((((!!) @ (^[Y2 : a]: 148.14/30.89 (((??) @ (^[Y3 : a > $o]: 148.14/30.89 (((((!!) @ ( 148.14/30.89 ^[Y4 : a > $o]: 148.14/30.89 (((( 148.14/30.89 (Y0 @ 148.14/30.89 Y4) & 148.14/30.89 (Y4 @ Y2))) => 148.14/30.89 (( 148.14/30.89 (Y4) = 148.14/30.89 (Y3)))))))) & 148.14/30.89 (Y3 @ Y2) & 148.14/30.89 (Y0 @ Y3))))))))) & 148.14/30.89 (((!!) @ (^[Y2 : a > $o]: 148.14/30.89 (((Y1 @ Y2) => 148.14/30.89 (((??) @ (^[Y3 : a]: 148.14/30.89 (Y2 @ Y3))))))))) & 148.14/30.89 (((!!) @ (^[Y2 : a]: 148.14/30.89 (((??) @ (^[Y3 : a > $o]: 148.14/30.89 (((Y1 @ Y3) & 148.14/30.89 (((!!) @ ( 148.14/30.89 ^[Y4 : a > $o]: 148.14/30.89 (((( 148.14/30.89 (Y4 @ 148.14/30.89 Y2) & 148.14/30.89 (Y1 @ Y4))) => 148.14/30.89 (( 148.14/30.89 (Y4) = 148.14/30.89 (Y3)))))))) & 148.14/30.89 (Y3 @ Y2))))))))) & 148.14/30.89 (((!!) @ (^[Y2 : a > $o]: 148.14/30.89 (((Y0 @ Y2) => 148.14/30.89 (((??) @ (^[Y3 : a]: 148.14/30.89 (Y2 @ Y3))))))))) & 148.14/30.89 (((Y0) != (Y1))))) => 148.14/30.89 (((??) @ (^[Y2 : a]: 148.14/30.89 (((??) @ (^[Y3 : a]: 148.14/30.89 (((((((!!) @ ( 148.14/30.89 ^[Y4 : a > $o]: 148.14/30.89 (((Y1 @ 148.14/30.89 Y4) => 148.14/30.89 (( 148.14/30.89 (( 148.14/30.89 (~) @ ( 148.14/30.89 Y4 @ Y2))) | 148.14/30.89 (( 148.14/30.89 (~) @ ( 148.14/30.89 Y4 @ Y3)))))))))) & 148.14/30.89 (((??) @ ( 148.14/30.89 ^[Y4 : a > $o]: 148.14/30.89 (((Y4 @ Y3) & 148.14/30.89 (Y4 @ Y2) & 148.14/30.89 (Y0 @ Y4)))))))) | 148.14/30.89 (((((!!) @ ( 148.14/30.89 ^[Y4 : a > $o]: 148.14/30.89 (((Y0 @ 148.14/30.89 Y4) => 148.14/30.89 (( 148.14/30.89 (( 148.14/30.89 (~) @ ( 148.14/30.89 Y4 @ Y3))) | 148.14/30.89 (( 148.14/30.89 (~) @ ( 148.14/30.89 Y4 @ Y2)))))))))) & 148.14/30.89 (((??) @ ( 148.14/30.89 ^[Y4 : a > $o]: 148.14/30.89 (((Y1 @ Y4) & 148.14/30.89 (Y4 @ Y2) & 148.14/30.89 (Y4 @ Y3))))))))))))))))))))))))), 148.14/30.89 inference('cnf', [status(esa)], [zf_stmt_0])). 148.14/30.89 thf(zip_derived_cl1, plain, 148.14/30.89 (~ (((!!) @ (^[Y0 : (a > $o) > $o]: 148.14/30.89 (((((((!!) @ (^[Y1 : a]: 148.14/30.89 (((??) @ (^[Y2 : a > $o]: 148.14/30.89 (((((!!) @ (^[Y3 : a > $o]: 148.14/30.89 ((((('#sk1' @ 148.14/30.89 Y3) & (Y3 @ 148.14/30.89 Y1))) => 148.14/30.89 (((Y3) = (Y2)))))))) & 148.14/30.89 (Y2 @ Y1) & ('#sk1' @ Y2))))))))) & 148.14/30.89 (((!!) @ (^[Y1 : a > $o]: 148.14/30.89 (((Y0 @ Y1) => 148.14/30.89 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) & 148.14/30.89 (((!!) @ (^[Y1 : a]: 148.14/30.89 (((??) @ (^[Y2 : a > $o]: 148.14/30.89 (((Y0 @ Y2) & 148.14/30.89 (((!!) @ (^[Y3 : a > $o]: 148.14/30.89 (((((Y3 @ Y1) & 148.14/30.89 (Y0 @ Y3))) => 148.14/30.89 (((Y3) = (Y2)))))))) & 148.14/30.89 (Y2 @ Y1))))))))) & 148.14/30.89 (((!!) @ (^[Y1 : a > $o]: 148.14/30.89 ((('#sk1' @ Y1) => 148.14/30.89 (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))) & 148.14/30.89 ((('#sk1') != (Y0))))) => 148.14/30.89 (((??) @ (^[Y1 : a]: 148.14/30.89 (((??) @ (^[Y2 : a]: 148.14/30.89 (((((((!!) @ (^[Y3 : a > $o]: 148.14/30.89 (((Y0 @ Y3) => 148.14/30.89 (((((~) @ ( 148.14/30.89 Y3 @ Y1))) | 148.14/30.89 (((~) @ ( 148.14/30.89 Y3 @ Y2)))))))))) & 148.14/30.89 (((??) @ (^[Y3 : a > $o]: 148.14/30.89 (((Y3 @ Y2) & 148.14/30.89 (Y3 @ Y1) & 148.14/30.89 ('#sk1' @ Y3)))))))) | 148.14/30.89 (((((!!) @ (^[Y3 : a > $o]: 148.14/30.89 ((('#sk1' @ 148.14/30.89 Y3) => 148.14/30.89 (((((~) @ ( 148.14/30.89 Y3 @ Y2))) | 148.14/30.89 (((~) @ ( 148.14/30.89 Y3 @ Y1)))))))))) & 148.14/30.89 (((??) @ (^[Y3 : a > $o]: 148.14/30.89 (((Y0 @ Y3) & 148.14/30.89 (Y3 @ Y1) & 148.14/30.89 (Y3 @ Y2)))))))))))))))))))))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 148.14/30.89 thf(zip_derived_cl2, plain, 148.14/30.89 (~ (((((((!!) @ (^[Y0 : a]: 148.14/30.89 (((??) @ (^[Y1 : a > $o]: 148.14/30.89 (((((!!) @ (^[Y2 : a > $o]: 148.14/30.89 ((((('#sk1' @ Y2) & (Y2 @ 148.14/30.89 Y0))) => 148.14/30.89 (((Y2) = (Y1)))))))) & 148.14/30.89 (Y1 @ Y0) & ('#sk1' @ Y1))))))))) & 148.14/30.89 (((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) & 148.14/30.89 (((!!) @ (^[Y0 : a]: 148.14/30.89 (((??) @ (^[Y1 : a > $o]: 148.14/30.89 ((('#sk2' @ Y1) & 148.14/30.89 (((!!) @ (^[Y2 : a > $o]: 148.14/30.89 (((((Y2 @ Y0) & ('#sk2' @ 148.14/30.89 Y2))) => 148.14/30.89 (((Y2) = (Y1)))))))) & 148.14/30.89 (Y1 @ Y0))))))))) & 148.14/30.89 (((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) & 148.14/30.89 ((('#sk1') != ('#sk2'))))) => 148.14/30.89 (((??) @ (^[Y0 : a]: 148.14/30.89 (((??) @ (^[Y1 : a]: 148.14/30.89 (((((((!!) @ (^[Y2 : a > $o]: 148.14/30.89 ((('#sk2' @ Y2) => 148.14/30.89 (((((~) @ (Y2 @ Y0))) | 148.14/30.89 (((~) @ (Y2 @ Y1)))))))))) & 148.14/30.89 (((??) @ (^[Y2 : a > $o]: 148.14/30.89 (((Y2 @ Y1) & (Y2 @ Y0) & 148.14/30.89 ('#sk1' @ Y2)))))))) | 148.14/30.89 (((((!!) @ (^[Y2 : a > $o]: 148.14/30.89 ((('#sk1' @ Y2) => 148.14/30.89 (((((~) @ (Y2 @ Y1))) | 148.14/30.89 (((~) @ (Y2 @ Y0)))))))))) & 148.14/30.89 (((??) @ (^[Y2 : a > $o]: 148.14/30.89 ((('#sk2' @ Y2) & 148.14/30.89 (Y2 @ Y0) & (Y2 @ Y1))))))))))))))))))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 148.14/30.89 thf(zip_derived_cl3, plain, 148.14/30.89 ( (((((!!) @ (^[Y0 : a]: 148.14/30.89 (((??) @ (^[Y1 : a > $o]: 148.14/30.89 (((((!!) @ (^[Y2 : a > $o]: 148.14/30.89 ((((('#sk1' @ Y2) & (Y2 @ Y0))) => 148.14/30.89 (((Y2) = (Y1)))))))) & 148.14/30.89 (Y1 @ Y0) & ('#sk1' @ Y1))))))))) & 148.14/30.89 (((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) & 148.14/30.89 (((!!) @ (^[Y0 : a]: 148.14/30.89 (((??) @ (^[Y1 : a > $o]: 148.14/30.89 ((('#sk2' @ Y1) & 148.14/30.89 (((!!) @ (^[Y2 : a > $o]: 148.14/30.89 (((((Y2 @ Y0) & ('#sk2' @ Y2))) => 148.14/30.89 (((Y2) = (Y1)))))))) & 148.14/30.89 (Y1 @ Y0))))))))) & 148.14/30.89 (((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))) & 148.14/30.89 ((('#sk1') != ('#sk2')))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])). 148.14/30.89 thf(zip_derived_cl9, plain, ( ((('#sk1') != ('#sk2')))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3])). 148.14/30.89 thf(zip_derived_cl15, plain, ((('#sk1') != ('#sk2'))), 148.14/30.89 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 148.14/30.89 thf(zip_derived_cl113, plain, 148.14/30.89 ((('#sk1' @ (^[Y0 : a]: ('#sk48' @ Y0))) 148.14/30.89 != ('#sk2' @ (^[Y0 : a]: ('#sk48' @ Y0))))), 148.14/30.89 inference('neg_ext', [status(thm)], [zip_derived_cl15])). 148.14/30.89 thf(zip_derived_cl114, plain, ((('#sk1' @ '#sk48') != ('#sk2' @ '#sk48'))), 148.14/30.89 inference('ho_norm', [status(thm)], [zip_derived_cl113])). 148.14/30.89 thf(zip_derived_cl115, plain, (( ('#sk1' @ '#sk48') | ('#sk2' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl114])). 148.14/30.89 thf(zip_derived_cl7, plain, 148.14/30.89 ( (((!!) @ (^[Y0 : a]: 148.14/30.89 (((??) @ (^[Y1 : a > $o]: 148.14/30.89 ((('#sk2' @ Y1) & 148.14/30.89 (((!!) @ (^[Y2 : a > $o]: 148.14/30.89 (((((Y2 @ Y0) & ('#sk2' @ Y2))) => 148.14/30.89 (((Y2) = (Y1)))))))) & 148.14/30.89 (Y1 @ Y0)))))))))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3])). 148.14/30.89 thf(zip_derived_cl13, plain, 148.14/30.89 (![X2 : a]: 148.14/30.89 (((??) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) & 148.14/30.89 (((!!) @ (^[Y1 : a > $o]: 148.14/30.89 (((((Y1 @ X2) & ('#sk2' @ Y1))) => 148.14/30.89 (((Y1) = (Y0)))))))) & 148.14/30.89 (Y0 @ X2))))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 148.14/30.89 thf(zip_derived_cl23, plain, 148.14/30.89 (![X2 : a]: 148.14/30.89 ((('#sk2' @ ('#sk6' @ X2)) & 148.14/30.89 (((!!) @ (^[Y0 : a > $o]: 148.14/30.89 (((((Y0 @ X2) & ('#sk2' @ Y0))) => 148.14/30.89 (((Y0) = ('#sk6' @ X2)))))))) & 148.14/30.89 ('#sk6' @ X2 @ X2)))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl13])). 148.14/30.89 thf(zip_derived_cl31, plain, (![X2 : a]: ('#sk2' @ ('#sk6' @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl114, plain, ((('#sk1' @ '#sk48') != ('#sk2' @ '#sk48'))), 148.14/30.89 inference('ho_norm', [status(thm)], [zip_derived_cl113])). 148.14/30.89 thf(zip_derived_cl116, plain, 148.14/30.89 ((~ ('#sk1' @ '#sk48') | ~ ('#sk2' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl114])). 148.14/30.89 thf(zip_derived_cl123, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ((((^[Y0 : a]: ('#sk6' @ X0 @ Y0))) != ((^[Y0 : a]: ('#sk48' @ Y0)))) 148.14/30.89 | ~ ('#sk1' @ '#sk48'))), 148.14/30.89 inference('ext_sup', [status(thm)], [zip_derived_cl31, zip_derived_cl116])). 148.14/30.89 thf(zip_derived_cl124, plain, 148.14/30.89 (![X0 : a]: ((('#sk6' @ X0) != ('#sk48')) | ~ ('#sk1' @ '#sk48'))), 148.14/30.89 inference('ho_norm', [status(thm)], [zip_derived_cl123])). 148.14/30.89 thf(zip_derived_cl147, plain, 148.14/30.89 (![X0 : a]: ( ('#sk2' @ '#sk48') | (('#sk6' @ X0) != ('#sk48')))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl124])). 148.14/30.89 thf(zip_derived_cl177, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ( ('#sk2' @ '#sk48') 148.14/30.89 | (('#sk6' @ X0 @ ('#sk60' @ X0)) != ('#sk48' @ ('#sk60' @ X0))))), 148.14/30.89 inference('neg_ext', [status(thm)], [zip_derived_cl147])). 148.14/30.89 thf(zip_derived_cl413, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 (~ ('#sk6' @ X0 @ ('#sk60' @ X0)) 148.14/30.89 | ~ ('#sk48' @ ('#sk60' @ X0)) 148.14/30.89 | ('#sk2' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl177])). 148.14/30.89 thf(zip_derived_cl114, plain, ((('#sk1' @ '#sk48') != ('#sk2' @ '#sk48'))), 148.14/30.89 inference('ho_norm', [status(thm)], [zip_derived_cl113])). 148.14/30.89 thf(zip_derived_cl33, plain, (![X2 : a]: ('#sk6' @ X2 @ X2)), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl4, plain, 148.14/30.89 (~ (((??) @ (^[Y0 : a]: 148.14/30.89 (((??) @ (^[Y1 : a]: 148.14/30.89 (((((((!!) @ (^[Y2 : a > $o]: 148.14/30.89 ((('#sk2' @ Y2) => 148.14/30.89 (((((~) @ (Y2 @ Y0))) | 148.14/30.89 (((~) @ (Y2 @ Y1)))))))))) & 148.14/30.89 (((??) @ (^[Y2 : a > $o]: 148.14/30.89 (((Y2 @ Y1) & (Y2 @ Y0) & 148.14/30.89 ('#sk1' @ Y2)))))))) | 148.14/30.89 (((((!!) @ (^[Y2 : a > $o]: 148.14/30.89 ((('#sk1' @ Y2) => 148.14/30.89 (((((~) @ (Y2 @ Y1))) | 148.14/30.89 (((~) @ (Y2 @ Y0)))))))))) & 148.14/30.89 (((??) @ (^[Y2 : a > $o]: 148.14/30.89 ((('#sk2' @ Y2) & (Y2 @ Y0) & 148.14/30.89 (Y2 @ Y1))))))))))))))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])). 148.14/30.89 thf(zip_derived_cl10, plain, 148.14/30.89 (![X2 : a]: 148.14/30.89 ~ (((??) @ (^[Y0 : a]: 148.14/30.89 (((((((!!) @ (^[Y1 : a > $o]: 148.14/30.89 ((('#sk2' @ Y1) => 148.14/30.89 (((((~) @ (Y1 @ X2))) | 148.14/30.89 (((~) @ (Y1 @ Y0)))))))))) & 148.14/30.89 (((??) @ (^[Y1 : a > $o]: 148.14/30.89 (((Y1 @ Y0) & (Y1 @ X2) & ('#sk1' @ Y1)))))))) | 148.14/30.89 (((((!!) @ (^[Y1 : a > $o]: 148.14/30.89 ((('#sk1' @ Y1) => 148.14/30.89 (((((~) @ (Y1 @ Y0))) | 148.14/30.89 (((~) @ (Y1 @ X2)))))))))) & 148.14/30.89 (((??) @ (^[Y1 : a > $o]: 148.14/30.89 ((('#sk2' @ Y1) & (Y1 @ X2) & (Y1 @ Y0)))))))))))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 148.14/30.89 thf(zip_derived_cl16, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 ~ (((((((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) => 148.14/30.89 (((((~) @ (Y0 @ X2))) | (((~) @ (Y0 @ X4)))))))))) & 148.14/30.89 (((??) @ (^[Y0 : a > $o]: 148.14/30.89 (((Y0 @ X4) & (Y0 @ X2) & ('#sk1' @ Y0)))))))) | 148.14/30.89 (((((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk1' @ Y0) => 148.14/30.89 (((((~) @ (Y0 @ X4))) | (((~) @ (Y0 @ X2)))))))))) & 148.14/30.89 (((??) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) & (Y0 @ X2) & (Y0 @ X4))))))))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 148.14/30.89 thf(zip_derived_cl26, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 ~ (((((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk1' @ Y0) => 148.14/30.89 (((((~) @ (Y0 @ X4))) | (((~) @ (Y0 @ X2)))))))))) & 148.14/30.89 (((??) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) & (Y0 @ X2) & (Y0 @ X4))))))))), 148.14/30.89 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl16])). 148.14/30.89 thf(zip_derived_cl36, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 (~ (((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk1' @ Y0) => 148.14/30.89 (((((~) @ (Y0 @ X4))) | (((~) @ (Y0 @ X2)))))))))) 148.14/30.89 | ~ (((??) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) & (Y0 @ X2) & (Y0 @ X4)))))))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])). 148.14/30.89 thf(zip_derived_cl52, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 (~ ((('#sk1' @ ('#sk19' @ X2 @ X4)) => 148.14/30.89 (((((~) @ ('#sk19' @ X2 @ X4 @ X4))) | 148.14/30.89 (((~) @ ('#sk19' @ X2 @ X4 @ X2))))))) 148.14/30.89 | ~ (((??) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) & (Y0 @ X2) & (Y0 @ X4)))))))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl36])). 148.14/30.89 thf(zip_derived_cl57, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 ( ('#sk1' @ ('#sk19' @ X2 @ X4)) 148.14/30.89 | ~ (((??) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) & (Y0 @ X2) & (Y0 @ X4)))))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])). 148.14/30.89 thf(zip_derived_cl70, plain, 148.14/30.89 (![X2 : a, X4 : a, X6 : a > $o]: 148.14/30.89 (~ ((('#sk2' @ X6) & (X6 @ X2) & (X6 @ X4))) 148.14/30.89 | ('#sk1' @ ('#sk19' @ X2 @ X4)))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])). 148.14/30.89 thf(zip_derived_cl73, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk2' @ ('#sk6' @ X0)) & ('#sk6' @ X0 @ X2) & 148.14/30.89 ('#sk6' @ X0 @ X1))) 148.14/30.89 | ('#sk1' @ ('#sk19' @ X2 @ X1)))), 148.14/30.89 inference('triggered_bool_instantiation', [status(thm)], 148.14/30.89 [zip_derived_cl70])). 148.14/30.89 thf(zip_derived_cl31, plain, (![X2 : a]: ('#sk2' @ ('#sk6' @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl718, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((($true) & ('#sk6' @ X0 @ X2) & ('#sk6' @ X0 @ X1))) 148.14/30.89 | ('#sk1' @ ('#sk19' @ X2 @ X1)))), 148.14/30.89 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl31])). 148.14/30.89 thf(zip_derived_cl719, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk6' @ X0 @ X1) & ('#sk6' @ X0 @ X2))) 148.14/30.89 | ('#sk1' @ ('#sk19' @ X2 @ X1)))), 148.14/30.89 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl718])). 148.14/30.89 thf(zip_derived_cl720, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ('#sk6' @ X0 @ X1) 148.14/30.89 | ~ ('#sk6' @ X0 @ X2) 148.14/30.89 | ('#sk1' @ ('#sk19' @ X2 @ X1)))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl719])). 148.14/30.89 thf(zip_derived_cl726, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ( ('#sk1' @ ('#sk19' @ X0 @ X0)) | ~ ('#sk6' @ X1 @ X0))), 148.14/30.89 inference('eq_fact', [status(thm)], [zip_derived_cl720])). 148.14/30.89 thf(zip_derived_cl737, plain, (![X0 : a]: ('#sk1' @ ('#sk19' @ X0 @ X0))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl726])). 148.14/30.89 thf(zip_derived_cl5, plain, 148.14/30.89 ( (((!!) @ (^[Y0 : a]: 148.14/30.89 (((??) @ (^[Y1 : a > $o]: 148.14/30.89 (((((!!) @ (^[Y2 : a > $o]: 148.14/30.89 ((((('#sk1' @ Y2) & (Y2 @ Y0))) => 148.14/30.89 (((Y2) = (Y1)))))))) & 148.14/30.89 (Y1 @ Y0) & ('#sk1' @ Y1)))))))))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3])). 148.14/30.89 thf(zip_derived_cl11, plain, 148.14/30.89 (![X2 : a]: 148.14/30.89 (((??) @ (^[Y0 : a > $o]: 148.14/30.89 (((((!!) @ (^[Y1 : a > $o]: 148.14/30.89 ((((('#sk1' @ Y1) & (Y1 @ X2))) => 148.14/30.89 (((Y1) = (Y0)))))))) & 148.14/30.89 (Y0 @ X2) & ('#sk1' @ Y0))))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 148.14/30.89 thf(zip_derived_cl19, plain, 148.14/30.89 (![X2 : a]: 148.14/30.89 (((((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((((('#sk1' @ Y0) & (Y0 @ X2))) => 148.14/30.89 (((Y0) = ('#sk3' @ X2)))))))) & 148.14/30.89 ('#sk3' @ X2 @ X2) & ('#sk1' @ ('#sk3' @ X2))))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])). 148.14/30.89 thf(zip_derived_cl27, plain, 148.14/30.89 (![X2 : a]: 148.14/30.89 (((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((((('#sk1' @ Y0) & (Y0 @ X2))) => 148.14/30.89 (((Y0) = ('#sk3' @ X2))))))))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 148.14/30.89 thf(zip_derived_cl37, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 ((((('#sk1' @ X4) & (X4 @ X2))) => (((X4) = ('#sk3' @ X2)))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])). 148.14/30.89 thf(zip_derived_cl53, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 (~ ((('#sk1' @ X4) & (X4 @ X2))) | (((X4) = ('#sk3' @ X2))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])). 148.14/30.89 thf(zip_derived_cl59, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 (~ ((('#sk1' @ X4) & (X4 @ X2))) | ((X4) = ('#sk3' @ X2)))), 148.14/30.89 inference('simplify nested equalities', [status(thm)], [zip_derived_cl53])). 148.14/30.89 thf(zip_derived_cl60, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 (~ ('#sk1' @ X4) | ~ (X4 @ X2) | ((X4) = ('#sk3' @ X2)))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 148.14/30.89 thf(zip_derived_cl743, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((('#sk19' @ X0 @ X0) = ('#sk3' @ X1)) | ~ ('#sk19' @ X0 @ X0 @ X1))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl737, zip_derived_cl60])). 148.14/30.89 thf(zip_derived_cl737, plain, (![X0 : a]: ('#sk1' @ ('#sk19' @ X0 @ X0))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl726])). 148.14/30.89 thf(zip_derived_cl8, plain, 148.14/30.89 ( (((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3])). 148.14/30.89 thf(zip_derived_cl14, plain, 148.14/30.89 (![X2 : a > $o]: ((('#sk1' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 148.14/30.89 thf(zip_derived_cl24, plain, 148.14/30.89 (![X2 : a > $o]: (~ ('#sk1' @ X2) | (((??) @ (^[Y0 : a]: (X2 @ Y0)))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 148.14/30.89 thf(zip_derived_cl34, plain, 148.14/30.89 (![X2 : a > $o]: ( (X2 @ ('#sk11' @ X2)) | ~ ('#sk1' @ X2))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl24])). 148.14/30.89 thf(zip_derived_cl744, plain, 148.14/30.89 (![X0 : a]: ('#sk19' @ X0 @ X0 @ ('#sk11' @ ('#sk19' @ X0 @ X0)))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl737, zip_derived_cl34])). 148.14/30.89 thf(zip_derived_cl776, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 (('#sk19' @ X0 @ X0) = ('#sk3' @ ('#sk11' @ ('#sk19' @ X0 @ X0))))), 148.14/30.89 inference('sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl744])). 148.14/30.89 thf(zip_derived_cl812, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (('#sk19' @ X0 @ X0 @ X1) 148.14/30.89 = ('#sk3' @ ('#sk11' @ ('#sk19' @ X0 @ X0)) @ X1))), 148.14/30.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl776])). 148.14/30.89 thf(zip_derived_cl33, plain, (![X2 : a]: ('#sk6' @ X2 @ X2)), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl58, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 (~ (((((~) @ ('#sk19' @ X2 @ X4 @ X4))) | 148.14/30.89 (((~) @ ('#sk19' @ X2 @ X4 @ X2))))) 148.14/30.89 | ~ (((??) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) & (Y0 @ X2) & (Y0 @ X4)))))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])). 148.14/30.89 thf(zip_derived_cl75, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 ( ('#sk19' @ X2 @ X4 @ X4) 148.14/30.89 | ~ (((??) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) & (Y0 @ X2) & (Y0 @ X4)))))))), 148.14/30.89 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl58])). 148.14/30.89 thf(zip_derived_cl89, plain, 148.14/30.89 (![X2 : a, X4 : a, X6 : a > $o]: 148.14/30.89 (~ ((('#sk2' @ X6) & (X6 @ X2) & (X6 @ X4))) 148.14/30.89 | ('#sk19' @ X2 @ X4 @ X4))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl75])). 148.14/30.89 thf(zip_derived_cl92, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk2' @ ('#sk6' @ X0)) & ('#sk6' @ X0 @ X2) & 148.14/30.89 ('#sk6' @ X0 @ X1))) 148.14/30.89 | ('#sk19' @ X2 @ X1 @ X1))), 148.14/30.89 inference('triggered_bool_instantiation', [status(thm)], 148.14/30.89 [zip_derived_cl89])). 148.14/30.89 thf(zip_derived_cl31, plain, (![X2 : a]: ('#sk2' @ ('#sk6' @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl1532, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((($true) & ('#sk6' @ X0 @ X2) & ('#sk6' @ X0 @ X1))) 148.14/30.89 | ('#sk19' @ X2 @ X1 @ X1))), 148.14/30.89 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl31])). 148.14/30.89 thf(zip_derived_cl1533, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk6' @ X0 @ X1) & ('#sk6' @ X0 @ X2))) 148.14/30.89 | ('#sk19' @ X2 @ X1 @ X1))), 148.14/30.89 inference('simplify boolean subterms', [status(thm)], 148.14/30.89 [zip_derived_cl1532])). 148.14/30.89 thf(zip_derived_cl1534, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ('#sk6' @ X0 @ X1) 148.14/30.89 | ~ ('#sk6' @ X0 @ X2) 148.14/30.89 | ('#sk19' @ X2 @ X1 @ X1))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1533])). 148.14/30.89 thf(zip_derived_cl1541, plain, 148.14/30.89 (![X0 : a, X1 : a]: ( ('#sk19' @ X0 @ X0 @ X0) | ~ ('#sk6' @ X1 @ X0))), 148.14/30.89 inference('eq_fact', [status(thm)], [zip_derived_cl1534])). 148.14/30.89 thf(zip_derived_cl1554, plain, (![X0 : a]: ('#sk19' @ X0 @ X0 @ X0)), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl1541])). 148.14/30.89 thf(zip_derived_cl743, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((('#sk19' @ X0 @ X0) = ('#sk3' @ X1)) | ~ ('#sk19' @ X0 @ X0 @ X1))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl737, zip_derived_cl60])). 148.14/30.89 thf(zip_derived_cl1561, plain, 148.14/30.89 (![X0 : a]: (('#sk19' @ X0 @ X0) = ('#sk3' @ X0))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl1554, zip_derived_cl743])). 148.14/30.89 thf(zip_derived_cl37, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 ((((('#sk1' @ X4) & (X4 @ X2))) => (((X4) = ('#sk3' @ X2)))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])). 148.14/30.89 thf(zip_derived_cl39, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((((('#sk1' @ ('#sk3' @ X1)) & ('#sk3' @ X1 @ X0))) => 148.14/30.89 ((('#sk3' @ X1) = ('#sk3' @ X0)))))), 148.14/30.89 inference('triggered_bool_instantiation', [status(thm)], 148.14/30.89 [zip_derived_cl37])). 148.14/30.89 thf(zip_derived_cl29, plain, (![X2 : a]: ('#sk1' @ ('#sk3' @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 148.14/30.89 thf(zip_derived_cl212, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((((($true) & ('#sk3' @ X1 @ X0))) => 148.14/30.89 ((('#sk3' @ X1) = ('#sk3' @ X0)))))), 148.14/30.89 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl29])). 148.14/30.89 thf(zip_derived_cl213, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((('#sk3' @ X1 @ X0) => ((('#sk3' @ X1) = ('#sk3' @ X0)))))), 148.14/30.89 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl212])). 148.14/30.89 thf(zip_derived_cl214, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (~ ('#sk3' @ X1 @ X0) | ((('#sk3' @ X1) = ('#sk3' @ X0))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl213])). 148.14/30.89 thf(zip_derived_cl215, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (~ ('#sk3' @ X1 @ X0) | (('#sk3' @ X1) = ('#sk3' @ X0)))), 148.14/30.89 inference('simplify nested equalities', [status(thm)], 148.14/30.89 [zip_derived_cl214])). 148.14/30.89 thf(zip_derived_cl14, plain, 148.14/30.89 (![X2 : a > $o]: ((('#sk1' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 148.14/30.89 thf(zip_derived_cl17, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ((('#sk1' @ ('#sk3' @ X0)) => 148.14/30.89 (((??) @ (^[Y0 : a]: ('#sk3' @ X0 @ Y0))))))), 148.14/30.89 inference('triggered_bool_instantiation', [status(thm)], 148.14/30.89 [zip_derived_cl14])). 148.14/30.89 thf(zip_derived_cl29, plain, (![X2 : a]: ('#sk1' @ ('#sk3' @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 148.14/30.89 thf(zip_derived_cl144, plain, 148.14/30.89 (![X0 : a]: ((($true) => (((??) @ (^[Y0 : a]: ('#sk3' @ X0 @ Y0))))))), 148.14/30.89 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl29])). 148.14/30.89 thf(zip_derived_cl145, plain, 148.14/30.89 (![X0 : a]: (((??) @ (^[Y0 : a]: ('#sk3' @ X0 @ Y0))))), 148.14/30.89 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl144])). 148.14/30.89 thf(zip_derived_cl146, plain, 148.14/30.89 (![X0 : a]: ('#sk3' @ X0 @ ('#sk11' @ ('#sk3' @ X0)))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl145])). 148.14/30.89 thf(zip_derived_cl216, plain, 148.14/30.89 (![X0 : a]: (('#sk3' @ X0) = ('#sk3' @ ('#sk11' @ ('#sk3' @ X0))))), 148.14/30.89 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl146])). 148.14/30.89 thf(zip_derived_cl231, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (('#sk3' @ X0 @ X1) = ('#sk3' @ ('#sk11' @ ('#sk3' @ X0)) @ X1))), 148.14/30.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl216])). 148.14/30.89 thf(zip_derived_cl1581, plain, 148.14/30.89 (![X0 : a, X1 : a]: (('#sk19' @ X0 @ X0 @ X1) = ('#sk3' @ X0 @ X1))), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl812, zip_derived_cl1561, zip_derived_cl231])). 148.14/30.89 thf(zip_derived_cl776, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 (('#sk19' @ X0 @ X0) = ('#sk3' @ ('#sk11' @ ('#sk19' @ X0 @ X0))))), 148.14/30.89 inference('sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl744])). 148.14/30.89 thf(zip_derived_cl115, plain, (( ('#sk1' @ '#sk48') | ('#sk2' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl114])). 148.14/30.89 thf(zip_derived_cl29, plain, (![X2 : a]: ('#sk1' @ ('#sk3' @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 148.14/30.89 thf(zip_derived_cl116, plain, 148.14/30.89 ((~ ('#sk1' @ '#sk48') | ~ ('#sk2' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl114])). 148.14/30.89 thf(zip_derived_cl119, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ((((^[Y0 : a]: ('#sk3' @ X0 @ Y0))) != ((^[Y0 : a]: ('#sk48' @ Y0)))) 148.14/30.89 | ~ ('#sk2' @ '#sk48'))), 148.14/30.89 inference('ext_sup', [status(thm)], [zip_derived_cl29, zip_derived_cl116])). 148.14/30.89 thf(zip_derived_cl120, plain, 148.14/30.89 (![X0 : a]: ((('#sk3' @ X0) != ('#sk48')) | ~ ('#sk2' @ '#sk48'))), 148.14/30.89 inference('ho_norm', [status(thm)], [zip_derived_cl119])). 148.14/30.89 thf(zip_derived_cl142, plain, 148.14/30.89 (![X0 : a]: ( ('#sk1' @ '#sk48') | (('#sk3' @ X0) != ('#sk48')))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl120])). 148.14/30.89 thf(zip_derived_cl810, plain, 148.14/30.89 (![X0 : a]: ((('#sk19' @ X0 @ X0) != ('#sk48')) | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl776, zip_derived_cl142])). 148.14/30.89 thf(zip_derived_cl824, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ((('#sk19' @ X0 @ X0 @ ('#sk92' @ X0)) != ('#sk48' @ ('#sk92' @ X0))) 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('neg_ext', [status(thm)], [zip_derived_cl810])). 148.14/30.89 thf(zip_derived_cl944, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 (~ ('#sk19' @ X0 @ X0 @ ('#sk92' @ X0)) 148.14/30.89 | ~ ('#sk48' @ ('#sk92' @ X0)) 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl824])). 148.14/30.89 thf(zip_derived_cl1610, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 (~ ('#sk3' @ X0 @ ('#sk92' @ X0)) 148.14/30.89 | ('#sk1' @ '#sk48') 148.14/30.89 | ~ ('#sk48' @ ('#sk92' @ X0)))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl1581, zip_derived_cl944])). 148.14/30.89 thf(zip_derived_cl115, plain, (( ('#sk1' @ '#sk48') | ('#sk2' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl114])). 148.14/30.89 thf(zip_derived_cl32, plain, 148.14/30.89 (![X2 : a]: 148.14/30.89 (((!!) @ (^[Y0 : a > $o]: 148.14/30.89 (((((Y0 @ X2) & ('#sk2' @ Y0))) => 148.14/30.89 (((Y0) = ('#sk6' @ X2))))))))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl40, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 (((((X4 @ X2) & ('#sk2' @ X4))) => (((X4) = ('#sk6' @ X2)))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 148.14/30.89 thf(zip_derived_cl54, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 (~ (((X4 @ X2) & ('#sk2' @ X4))) | (((X4) = ('#sk6' @ X2))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])). 148.14/30.89 thf(zip_derived_cl61, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 (~ (((X4 @ X2) & ('#sk2' @ X4))) | ((X4) = ('#sk6' @ X2)))), 148.14/30.89 inference('simplify nested equalities', [status(thm)], [zip_derived_cl54])). 148.14/30.89 thf(zip_derived_cl62, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 (~ (X4 @ X2) | ~ ('#sk2' @ X4) | ((X4) = ('#sk6' @ X2)))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl61])). 148.14/30.89 thf(zip_derived_cl361, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ( ('#sk1' @ '#sk48') | (('#sk48') = ('#sk6' @ X0)) | ~ ('#sk48' @ X0))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl62])). 148.14/30.89 thf(zip_derived_cl361, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ( ('#sk1' @ '#sk48') | (('#sk48') = ('#sk6' @ X0)) | ~ ('#sk48' @ X0))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl62])). 148.14/30.89 thf(zip_derived_cl115, plain, (( ('#sk1' @ '#sk48') | ('#sk2' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl114])). 148.14/30.89 thf(zip_derived_cl6, plain, 148.14/30.89 ( (((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3])). 148.14/30.89 thf(zip_derived_cl12, plain, 148.14/30.89 (![X2 : a > $o]: ((('#sk2' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 148.14/30.89 thf(zip_derived_cl20, plain, 148.14/30.89 (![X2 : a > $o]: (~ ('#sk2' @ X2) | (((??) @ (^[Y0 : a]: (X2 @ Y0)))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])). 148.14/30.89 thf(zip_derived_cl30, plain, 148.14/30.89 (![X2 : a > $o]: ( (X2 @ ('#sk11' @ X2)) | ~ ('#sk2' @ X2))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl20])). 148.14/30.89 thf(zip_derived_cl166, plain, 148.14/30.89 (( ('#sk1' @ '#sk48') | ('#sk48' @ ('#sk11' @ '#sk48')))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl30])). 148.14/30.89 thf(zip_derived_cl14, plain, 148.14/30.89 (![X2 : a > $o]: ((('#sk1' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 148.14/30.89 thf(zip_derived_cl111, plain, 148.14/30.89 ( ((('#sk1' @ '#sk48') => (((??) @ (^[Y0 : a]: ('#sk48' @ Y0))))))), 148.14/30.89 inference('triggered_bool_instantiation', [status(thm)], 148.14/30.89 [zip_derived_cl14])). 148.14/30.89 thf(zip_derived_cl126, plain, 148.14/30.89 ((~ ('#sk1' @ '#sk48') | (((??) @ (^[Y0 : a]: ('#sk48' @ Y0)))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl111])). 148.14/30.89 thf(zip_derived_cl127, plain, 148.14/30.89 (( ('#sk48' @ ('#sk11' @ '#sk48')) | ~ ('#sk1' @ '#sk48'))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl126])). 148.14/30.89 thf(zip_derived_cl178, plain, ( ('#sk48' @ ('#sk11' @ '#sk48'))), 148.14/30.89 inference('clc', [status(thm)], [zip_derived_cl166, zip_derived_cl127])). 148.14/30.89 thf(zip_derived_cl2553, plain, 148.14/30.89 (((('#sk48') = ('#sk6' @ ('#sk11' @ '#sk48'))) | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('sup+', [status(thm)], [zip_derived_cl361, zip_derived_cl178])). 148.14/30.89 thf(zip_derived_cl2633, plain, 148.14/30.89 (![X1 : a]: 148.14/30.89 ((('#sk48' @ X1) = ('#sk6' @ ('#sk11' @ '#sk48') @ X1)) 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl2553])). 148.14/30.89 thf(zip_derived_cl2680, plain, 148.14/30.89 (![X1 : a]: 148.14/30.89 ( ('#sk48' @ X1) 148.14/30.89 | ~ ('#sk6' @ ('#sk11' @ '#sk48') @ X1) 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl2633])). 148.14/30.89 thf(zip_derived_cl824, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ((('#sk19' @ X0 @ X0 @ ('#sk92' @ X0)) != ('#sk48' @ ('#sk92' @ X0))) 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('neg_ext', [status(thm)], [zip_derived_cl810])). 148.14/30.89 thf(zip_derived_cl1581, plain, 148.14/30.89 (![X0 : a, X1 : a]: (('#sk19' @ X0 @ X0 @ X1) = ('#sk3' @ X0 @ X1))), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl812, zip_derived_cl1561, zip_derived_cl231])). 148.14/30.89 thf(zip_derived_cl1609, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ((('#sk3' @ X0 @ ('#sk92' @ X0)) != ('#sk48' @ ('#sk92' @ X0))) 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('demod', [status(thm)], [zip_derived_cl824, zip_derived_cl1581])). 148.14/30.89 thf(zip_derived_cl1664, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ( ('#sk3' @ X0 @ ('#sk92' @ X0)) 148.14/30.89 | ('#sk48' @ ('#sk92' @ X0)) 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl1609])). 148.14/30.89 thf(zip_derived_cl215, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (~ ('#sk3' @ X1 @ X0) | (('#sk3' @ X1) = ('#sk3' @ X0)))), 148.14/30.89 inference('simplify nested equalities', [status(thm)], 148.14/30.89 [zip_derived_cl214])). 148.14/30.89 thf(zip_derived_cl1743, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ( ('#sk1' @ '#sk48') 148.14/30.89 | ('#sk48' @ ('#sk92' @ X0)) 148.14/30.89 | (('#sk3' @ X0) = ('#sk3' @ ('#sk92' @ X0))))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl1664, zip_derived_cl215])). 148.14/30.89 thf(zip_derived_cl146, plain, 148.14/30.89 (![X0 : a]: ('#sk3' @ X0 @ ('#sk11' @ ('#sk3' @ X0)))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl145])). 148.14/30.89 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk3' @ X2 @ X2)), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 148.14/30.89 thf(zip_derived_cl25, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 ~ (((((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) => 148.14/30.89 (((((~) @ (Y0 @ X2))) | (((~) @ (Y0 @ X4)))))))))) & 148.14/30.89 (((??) @ (^[Y0 : a > $o]: 148.14/30.89 (((Y0 @ X4) & (Y0 @ X2) & ('#sk1' @ Y0))))))))), 148.14/30.89 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl16])). 148.14/30.89 thf(zip_derived_cl35, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 (~ (((!!) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) => 148.14/30.89 (((((~) @ (Y0 @ X2))) | (((~) @ (Y0 @ X4)))))))))) 148.14/30.89 | ~ (((??) @ (^[Y0 : a > $o]: 148.14/30.89 (((Y0 @ X4) & (Y0 @ X2) & ('#sk1' @ Y0)))))))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])). 148.14/30.89 thf(zip_derived_cl47, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 (~ ((('#sk2' @ ('#sk18' @ X2 @ X4)) => 148.14/30.89 (((((~) @ ('#sk18' @ X2 @ X4 @ X2))) | 148.14/30.89 (((~) @ ('#sk18' @ X2 @ X4 @ X4))))))) 148.14/30.89 | ~ (((??) @ (^[Y0 : a > $o]: 148.14/30.89 (((Y0 @ X4) & (Y0 @ X2) & ('#sk1' @ Y0)))))))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl35])). 148.14/30.89 thf(zip_derived_cl56, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 (~ (((((~) @ ('#sk18' @ X2 @ X4 @ X2))) | 148.14/30.89 (((~) @ ('#sk18' @ X2 @ X4 @ X4))))) 148.14/30.89 | ~ (((??) @ (^[Y0 : a > $o]: 148.14/30.89 (((Y0 @ X4) & (Y0 @ X2) & ('#sk1' @ Y0)))))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])). 148.14/30.89 thf(zip_derived_cl69, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 ( ('#sk18' @ X2 @ X4 @ X4) 148.14/30.89 | ~ (((??) @ (^[Y0 : a > $o]: 148.14/30.89 (((Y0 @ X4) & (Y0 @ X2) & ('#sk1' @ Y0)))))))), 148.14/30.89 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl56])). 148.14/30.89 thf(zip_derived_cl83, plain, 148.14/30.89 (![X2 : a, X4 : a, X6 : a > $o]: 148.14/30.89 (~ (((X6 @ X4) & (X6 @ X2) & ('#sk1' @ X6))) 148.14/30.89 | ('#sk18' @ X2 @ X4 @ X4))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl69])). 148.14/30.89 thf(zip_derived_cl87, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk3' @ X0 @ X2) & ('#sk3' @ X0 @ X1) & 148.14/30.89 ('#sk1' @ ('#sk3' @ X0)))) 148.14/30.89 | ('#sk18' @ X1 @ X2 @ X2))), 148.14/30.89 inference('triggered_bool_instantiation', [status(thm)], 148.14/30.89 [zip_derived_cl83])). 148.14/30.89 thf(zip_derived_cl29, plain, (![X2 : a]: ('#sk1' @ ('#sk3' @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 148.14/30.89 thf(zip_derived_cl1325, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk3' @ X0 @ X2) & ('#sk3' @ X0 @ X1) & ($true))) 148.14/30.89 | ('#sk18' @ X1 @ X2 @ X2))), 148.14/30.89 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl29])). 148.14/30.89 thf(zip_derived_cl1326, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk3' @ X0 @ X1) & ('#sk3' @ X0 @ X2))) 148.14/30.89 | ('#sk18' @ X1 @ X2 @ X2))), 148.14/30.89 inference('simplify boolean subterms', [status(thm)], 148.14/30.89 [zip_derived_cl1325])). 148.14/30.89 thf(zip_derived_cl1327, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ('#sk3' @ X0 @ X1) 148.14/30.89 | ~ ('#sk3' @ X0 @ X2) 148.14/30.89 | ('#sk18' @ X1 @ X2 @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1326])). 148.14/30.89 thf(zip_derived_cl1333, plain, 148.14/30.89 (![X0 : a, X1 : a]: ( ('#sk18' @ X0 @ X1 @ X1) | ~ ('#sk3' @ X0 @ X1))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl1327])). 148.14/30.89 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk3' @ X2 @ X2)), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 148.14/30.89 thf(zip_derived_cl55, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 ( ('#sk2' @ ('#sk18' @ X2 @ X4)) 148.14/30.89 | ~ (((??) @ (^[Y0 : a > $o]: 148.14/30.89 (((Y0 @ X4) & (Y0 @ X2) & ('#sk1' @ Y0)))))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])). 148.14/30.89 thf(zip_derived_cl63, plain, 148.14/30.89 (![X2 : a, X4 : a, X6 : a > $o]: 148.14/30.89 (~ (((X6 @ X4) & (X6 @ X2) & ('#sk1' @ X6))) 148.14/30.89 | ('#sk2' @ ('#sk18' @ X2 @ X4)))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl55])). 148.14/30.89 thf(zip_derived_cl67, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk3' @ X0 @ X2) & ('#sk3' @ X0 @ X1) & 148.14/30.89 ('#sk1' @ ('#sk3' @ X0)))) 148.14/30.89 | ('#sk2' @ ('#sk18' @ X1 @ X2)))), 148.14/30.89 inference('triggered_bool_instantiation', [status(thm)], 148.14/30.89 [zip_derived_cl63])). 148.14/30.89 thf(zip_derived_cl29, plain, (![X2 : a]: ('#sk1' @ ('#sk3' @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 148.14/30.89 thf(zip_derived_cl630, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk3' @ X0 @ X2) & ('#sk3' @ X0 @ X1) & ($true))) 148.14/30.89 | ('#sk2' @ ('#sk18' @ X1 @ X2)))), 148.14/30.89 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl29])). 148.14/30.89 thf(zip_derived_cl631, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk3' @ X0 @ X1) & ('#sk3' @ X0 @ X2))) 148.14/30.89 | ('#sk2' @ ('#sk18' @ X1 @ X2)))), 148.14/30.89 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl630])). 148.14/30.89 thf(zip_derived_cl632, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ('#sk3' @ X0 @ X1) 148.14/30.89 | ~ ('#sk3' @ X0 @ X2) 148.14/30.89 | ('#sk2' @ ('#sk18' @ X1 @ X2)))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl631])). 148.14/30.89 thf(zip_derived_cl637, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ( ('#sk2' @ ('#sk18' @ X0 @ X1)) | ~ ('#sk3' @ X0 @ X1))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl632])). 148.14/30.89 thf(zip_derived_cl62, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 (~ (X4 @ X2) | ~ ('#sk2' @ X4) | ((X4) = ('#sk6' @ X2)))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl61])). 148.14/30.89 thf(zip_derived_cl661, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ('#sk3' @ X1 @ X0) 148.14/30.89 | (('#sk18' @ X1 @ X0) = ('#sk6' @ X2)) 148.14/30.89 | ~ ('#sk18' @ X1 @ X0 @ X2))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl637, zip_derived_cl62])). 148.14/30.89 thf(zip_derived_cl7036, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (~ ('#sk3' @ X1 @ X0) 148.14/30.89 | (('#sk18' @ X1 @ X0) = ('#sk6' @ X0)) 148.14/30.89 | ~ ('#sk3' @ X1 @ X0))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl1333, zip_derived_cl661])). 148.14/30.89 thf(zip_derived_cl7076, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((('#sk18' @ X1 @ X0) = ('#sk6' @ X0)) | ~ ('#sk3' @ X1 @ X0))), 148.14/30.89 inference('simplify', [status(thm)], [zip_derived_cl7036])). 148.14/30.89 thf(zip_derived_cl7367, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 (('#sk18' @ X0 @ ('#sk11' @ ('#sk3' @ X0))) 148.14/30.89 = ('#sk6' @ ('#sk11' @ ('#sk3' @ X0))))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl7076])). 148.14/30.89 thf(zip_derived_cl146, plain, 148.14/30.89 (![X0 : a]: ('#sk3' @ X0 @ ('#sk11' @ ('#sk3' @ X0)))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl145])). 148.14/30.89 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk3' @ X2 @ X2)), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 148.14/30.89 thf(zip_derived_cl68, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 ( ('#sk18' @ X2 @ X4 @ X2) 148.14/30.89 | ~ (((??) @ (^[Y0 : a > $o]: 148.14/30.89 (((Y0 @ X4) & (Y0 @ X2) & ('#sk1' @ Y0)))))))), 148.14/30.89 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl56])). 148.14/30.89 thf(zip_derived_cl78, plain, 148.14/30.89 (![X2 : a, X4 : a, X6 : a > $o]: 148.14/30.89 (~ (((X6 @ X4) & (X6 @ X2) & ('#sk1' @ X6))) 148.14/30.89 | ('#sk18' @ X2 @ X4 @ X2))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl68])). 148.14/30.89 thf(zip_derived_cl82, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk3' @ X0 @ X2) & ('#sk3' @ X0 @ X1) & 148.14/30.89 ('#sk1' @ ('#sk3' @ X0)))) 148.14/30.89 | ('#sk18' @ X1 @ X2 @ X1))), 148.14/30.89 inference('triggered_bool_instantiation', [status(thm)], 148.14/30.89 [zip_derived_cl78])). 148.14/30.89 thf(zip_derived_cl29, plain, (![X2 : a]: ('#sk1' @ ('#sk3' @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 148.14/30.89 thf(zip_derived_cl1084, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk3' @ X0 @ X2) & ('#sk3' @ X0 @ X1) & ($true))) 148.14/30.89 | ('#sk18' @ X1 @ X2 @ X1))), 148.14/30.89 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl29])). 148.14/30.89 thf(zip_derived_cl1085, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk3' @ X0 @ X1) & ('#sk3' @ X0 @ X2))) 148.14/30.89 | ('#sk18' @ X1 @ X2 @ X1))), 148.14/30.89 inference('simplify boolean subterms', [status(thm)], 148.14/30.89 [zip_derived_cl1084])). 148.14/30.89 thf(zip_derived_cl1086, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ('#sk3' @ X0 @ X1) 148.14/30.89 | ~ ('#sk3' @ X0 @ X2) 148.14/30.89 | ('#sk18' @ X1 @ X2 @ X1))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1085])). 148.14/30.89 thf(zip_derived_cl1092, plain, 148.14/30.89 (![X0 : a, X1 : a]: ( ('#sk18' @ X0 @ X1 @ X0) | ~ ('#sk3' @ X0 @ X1))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl1086])). 148.14/30.89 thf(zip_derived_cl661, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ('#sk3' @ X1 @ X0) 148.14/30.89 | (('#sk18' @ X1 @ X0) = ('#sk6' @ X2)) 148.14/30.89 | ~ ('#sk18' @ X1 @ X0 @ X2))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl637, zip_derived_cl62])). 148.14/30.89 thf(zip_derived_cl7034, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (~ ('#sk3' @ X0 @ X1) 148.14/30.89 | (('#sk18' @ X0 @ X1) = ('#sk6' @ X0)) 148.14/30.89 | ~ ('#sk3' @ X0 @ X1))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl1092, zip_derived_cl661])). 148.14/30.89 thf(zip_derived_cl7075, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((('#sk18' @ X0 @ X1) = ('#sk6' @ X0)) | ~ ('#sk3' @ X0 @ X1))), 148.14/30.89 inference('simplify', [status(thm)], [zip_derived_cl7034])). 148.14/30.89 thf(zip_derived_cl7275, plain, 148.14/30.89 (![X0 : a]: (('#sk18' @ X0 @ ('#sk11' @ ('#sk3' @ X0))) = ('#sk6' @ X0))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl7075])). 148.14/30.89 thf(zip_derived_cl7371, plain, 148.14/30.89 (![X0 : a]: (('#sk6' @ X0) = ('#sk6' @ ('#sk11' @ ('#sk3' @ X0))))), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl7367, zip_derived_cl7275])). 148.14/30.89 thf(zip_derived_cl7414, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (('#sk6' @ X0 @ X1) = ('#sk6' @ ('#sk11' @ ('#sk3' @ X0)) @ X1))), 148.14/30.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl7371])). 148.14/30.89 thf(zip_derived_cl8219, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((('#sk6' @ ('#sk92' @ X0) @ X1) 148.14/30.89 = ('#sk6' @ ('#sk11' @ ('#sk3' @ X0)) @ X1)) 148.14/30.89 | ('#sk48' @ ('#sk92' @ X0)) 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('sup+', [status(thm)], [zip_derived_cl1743, zip_derived_cl7414])). 148.14/30.89 thf(zip_derived_cl7414, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (('#sk6' @ X0 @ X1) = ('#sk6' @ ('#sk11' @ ('#sk3' @ X0)) @ X1))), 148.14/30.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl7371])). 148.14/30.89 thf(zip_derived_cl8245, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((('#sk6' @ ('#sk92' @ X0) @ X1) = ('#sk6' @ X0 @ X1)) 148.14/30.89 | ('#sk48' @ ('#sk92' @ X0)) 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl8219, zip_derived_cl7414])). 148.14/30.89 thf(zip_derived_cl33, plain, (![X2 : a]: ('#sk6' @ X2 @ X2)), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl28813, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ( ('#sk6' @ X0 @ ('#sk92' @ X0)) 148.14/30.89 | ('#sk1' @ '#sk48') 148.14/30.89 | ('#sk48' @ ('#sk92' @ X0)))), 148.14/30.89 inference('sup+', [status(thm)], [zip_derived_cl8245, zip_derived_cl33])). 148.14/30.89 thf(zip_derived_cl28872, plain, 148.14/30.89 (( ('#sk1' @ '#sk48') 148.14/30.89 | ('#sk48' @ ('#sk92' @ ('#sk11' @ '#sk48'))) 148.14/30.89 | ('#sk48' @ ('#sk92' @ ('#sk11' @ '#sk48'))) 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('sup+', [status(thm)], 148.14/30.89 [zip_derived_cl2680, zip_derived_cl28813])). 148.14/30.89 thf(zip_derived_cl28895, plain, 148.14/30.89 (( ('#sk48' @ ('#sk92' @ ('#sk11' @ '#sk48'))) | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('simplify', [status(thm)], [zip_derived_cl28872])). 148.14/30.89 thf(zip_derived_cl28924, plain, 148.14/30.89 (((('#sk48') = ('#sk6' @ ('#sk92' @ ('#sk11' @ '#sk48')))) 148.14/30.89 | ('#sk1' @ '#sk48') 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('sup+', [status(thm)], [zip_derived_cl361, zip_derived_cl28895])). 148.14/30.89 thf(zip_derived_cl28928, plain, 148.14/30.89 (( ('#sk1' @ '#sk48') 148.14/30.89 | (('#sk48') = ('#sk6' @ ('#sk92' @ ('#sk11' @ '#sk48')))))), 148.14/30.89 inference('simplify', [status(thm)], [zip_derived_cl28924])). 148.14/30.89 thf(zip_derived_cl12, plain, 148.14/30.89 (![X2 : a > $o]: ((('#sk2' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 148.14/30.89 thf(zip_derived_cl22, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ((('#sk2' @ ('#sk6' @ X0)) => 148.14/30.89 (((??) @ (^[Y0 : a]: ('#sk6' @ X0 @ Y0))))))), 148.14/30.89 inference('triggered_bool_instantiation', [status(thm)], 148.14/30.89 [zip_derived_cl12])). 148.14/30.89 thf(zip_derived_cl31, plain, (![X2 : a]: ('#sk2' @ ('#sk6' @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl154, plain, 148.14/30.89 (![X0 : a]: ((($true) => (((??) @ (^[Y0 : a]: ('#sk6' @ X0 @ Y0))))))), 148.14/30.89 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl31])). 148.14/30.89 thf(zip_derived_cl155, plain, 148.14/30.89 (![X0 : a]: (((??) @ (^[Y0 : a]: ('#sk6' @ X0 @ Y0))))), 148.14/30.89 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl154])). 148.14/30.89 thf(zip_derived_cl156, plain, 148.14/30.89 (![X0 : a]: ('#sk6' @ X0 @ ('#sk11' @ ('#sk6' @ X0)))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl155])). 148.14/30.89 thf(zip_derived_cl33, plain, (![X2 : a]: ('#sk6' @ X2 @ X2)), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl76, plain, 148.14/30.89 (![X2 : a, X4 : a]: 148.14/30.89 ( ('#sk19' @ X2 @ X4 @ X2) 148.14/30.89 | ~ (((??) @ (^[Y0 : a > $o]: 148.14/30.89 ((('#sk2' @ Y0) & (Y0 @ X2) & (Y0 @ X4)))))))), 148.14/30.89 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl58])). 148.14/30.89 thf(zip_derived_cl94, plain, 148.14/30.89 (![X2 : a, X4 : a, X6 : a > $o]: 148.14/30.89 (~ ((('#sk2' @ X6) & (X6 @ X2) & (X6 @ X4))) 148.14/30.89 | ('#sk19' @ X2 @ X4 @ X2))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl76])). 148.14/30.89 thf(zip_derived_cl97, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk2' @ ('#sk6' @ X0)) & ('#sk6' @ X0 @ X2) & 148.14/30.89 ('#sk6' @ X0 @ X1))) 148.14/30.89 | ('#sk19' @ X2 @ X1 @ X2))), 148.14/30.89 inference('triggered_bool_instantiation', [status(thm)], 148.14/30.89 [zip_derived_cl94])). 148.14/30.89 thf(zip_derived_cl31, plain, (![X2 : a]: ('#sk2' @ ('#sk6' @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl1809, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((($true) & ('#sk6' @ X0 @ X2) & ('#sk6' @ X0 @ X1))) 148.14/30.89 | ('#sk19' @ X2 @ X1 @ X2))), 148.14/30.89 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl31])). 148.14/30.89 thf(zip_derived_cl1810, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ((('#sk6' @ X0 @ X1) & ('#sk6' @ X0 @ X2))) 148.14/30.89 | ('#sk19' @ X2 @ X1 @ X2))), 148.14/30.89 inference('simplify boolean subterms', [status(thm)], 148.14/30.89 [zip_derived_cl1809])). 148.14/30.89 thf(zip_derived_cl1811, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ('#sk6' @ X0 @ X1) 148.14/30.89 | ~ ('#sk6' @ X0 @ X2) 148.14/30.89 | ('#sk19' @ X2 @ X1 @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1810])). 148.14/30.89 thf(zip_derived_cl1817, plain, 148.14/30.89 (![X0 : a, X1 : a]: ( ('#sk19' @ X1 @ X0 @ X1) | ~ ('#sk6' @ X0 @ X1))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl1811])). 148.14/30.89 thf(zip_derived_cl33, plain, (![X2 : a]: ('#sk6' @ X2 @ X2)), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl720, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ('#sk6' @ X0 @ X1) 148.14/30.89 | ~ ('#sk6' @ X0 @ X2) 148.14/30.89 | ('#sk1' @ ('#sk19' @ X2 @ X1)))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl719])). 148.14/30.89 thf(zip_derived_cl725, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ( ('#sk1' @ ('#sk19' @ X1 @ X0)) | ~ ('#sk6' @ X0 @ X1))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl720])). 148.14/30.89 thf(zip_derived_cl60, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 (~ ('#sk1' @ X4) | ~ (X4 @ X2) | ((X4) = ('#sk3' @ X2)))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 148.14/30.89 thf(zip_derived_cl797, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ('#sk6' @ X0 @ X1) 148.14/30.89 | (('#sk19' @ X1 @ X0) = ('#sk3' @ X2)) 148.14/30.89 | ~ ('#sk19' @ X1 @ X0 @ X2))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl725, zip_derived_cl60])). 148.14/30.89 thf(zip_derived_cl11478, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (~ ('#sk6' @ X1 @ X0) 148.14/30.89 | (('#sk19' @ X0 @ X1) = ('#sk3' @ X0)) 148.14/30.89 | ~ ('#sk6' @ X1 @ X0))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl1817, zip_derived_cl797])). 148.14/30.89 thf(zip_derived_cl11521, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((('#sk19' @ X0 @ X1) = ('#sk3' @ X0)) | ~ ('#sk6' @ X1 @ X0))), 148.14/30.89 inference('simplify', [status(thm)], [zip_derived_cl11478])). 148.14/30.89 thf(zip_derived_cl11873, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 (('#sk19' @ ('#sk11' @ ('#sk6' @ X0)) @ X0) 148.14/30.89 = ('#sk3' @ ('#sk11' @ ('#sk6' @ X0))))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl11521])). 148.14/30.89 thf(zip_derived_cl156, plain, 148.14/30.89 (![X0 : a]: ('#sk6' @ X0 @ ('#sk11' @ ('#sk6' @ X0)))), 148.14/30.89 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl155])). 148.14/30.89 thf(zip_derived_cl33, plain, (![X2 : a]: ('#sk6' @ X2 @ X2)), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl1534, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ('#sk6' @ X0 @ X1) 148.14/30.89 | ~ ('#sk6' @ X0 @ X2) 148.14/30.89 | ('#sk19' @ X2 @ X1 @ X1))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1533])). 148.14/30.89 thf(zip_derived_cl1540, plain, 148.14/30.89 (![X0 : a, X1 : a]: ( ('#sk19' @ X1 @ X0 @ X0) | ~ ('#sk6' @ X0 @ X1))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl1534])). 148.14/30.89 thf(zip_derived_cl797, plain, 148.14/30.89 (![X0 : a, X1 : a, X2 : a]: 148.14/30.89 (~ ('#sk6' @ X0 @ X1) 148.14/30.89 | (('#sk19' @ X1 @ X0) = ('#sk3' @ X2)) 148.14/30.89 | ~ ('#sk19' @ X1 @ X0 @ X2))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl725, zip_derived_cl60])). 148.14/30.89 thf(zip_derived_cl11476, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (~ ('#sk6' @ X0 @ X1) 148.14/30.89 | (('#sk19' @ X1 @ X0) = ('#sk3' @ X0)) 148.14/30.89 | ~ ('#sk6' @ X0 @ X1))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl1540, zip_derived_cl797])). 148.14/30.89 thf(zip_derived_cl11520, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((('#sk19' @ X1 @ X0) = ('#sk3' @ X0)) | ~ ('#sk6' @ X0 @ X1))), 148.14/30.89 inference('simplify', [status(thm)], [zip_derived_cl11476])). 148.14/30.89 thf(zip_derived_cl11715, plain, 148.14/30.89 (![X0 : a]: (('#sk19' @ ('#sk11' @ ('#sk6' @ X0)) @ X0) = ('#sk3' @ X0))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl11520])). 148.14/30.89 thf(zip_derived_cl12012, plain, 148.14/30.89 (![X0 : a]: (('#sk3' @ X0) = ('#sk3' @ ('#sk11' @ ('#sk6' @ X0))))), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl11873, zip_derived_cl11715])). 148.14/30.89 thf(zip_derived_cl12087, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (('#sk3' @ X0 @ X1) = ('#sk3' @ ('#sk11' @ ('#sk6' @ X0)) @ X1))), 148.14/30.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl12012])). 148.14/30.89 thf(zip_derived_cl28972, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ((('#sk3' @ ('#sk92' @ ('#sk11' @ '#sk48')) @ X0) 148.14/30.89 = ('#sk3' @ ('#sk11' @ '#sk48') @ X0)) 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('sup+', [status(thm)], 148.14/30.89 [zip_derived_cl28928, zip_derived_cl12087])). 148.14/30.89 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk3' @ X2 @ X2)), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 148.14/30.89 thf(zip_derived_cl35481, plain, 148.14/30.89 (( ('#sk3' @ ('#sk11' @ '#sk48') @ ('#sk92' @ ('#sk11' @ '#sk48'))) 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('sup+', [status(thm)], [zip_derived_cl28972, zip_derived_cl28])). 148.14/30.89 thf(zip_derived_cl35541, plain, 148.14/30.89 ((~ ('#sk48' @ ('#sk92' @ ('#sk11' @ '#sk48'))) 148.14/30.89 | ('#sk1' @ '#sk48') 148.14/30.89 | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('sup+', [status(thm)], 148.14/30.89 [zip_derived_cl1610, zip_derived_cl35481])). 148.14/30.89 thf(zip_derived_cl35546, plain, 148.14/30.89 (( ('#sk1' @ '#sk48') | ~ ('#sk48' @ ('#sk92' @ ('#sk11' @ '#sk48'))))), 148.14/30.89 inference('simplify', [status(thm)], [zip_derived_cl35541])). 148.14/30.89 thf(zip_derived_cl28895, plain, 148.14/30.89 (( ('#sk48' @ ('#sk92' @ ('#sk11' @ '#sk48'))) | ('#sk1' @ '#sk48'))), 148.14/30.89 inference('simplify', [status(thm)], [zip_derived_cl28872])). 148.14/30.89 thf(zip_derived_cl35558, plain, ( ('#sk1' @ '#sk48')), 148.14/30.89 inference('clc', [status(thm)], 148.14/30.89 [zip_derived_cl35546, zip_derived_cl28895])). 148.14/30.89 thf(zip_derived_cl35559, plain, (~ ('#sk2' @ '#sk48')), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl114, zip_derived_cl35558])). 148.14/30.89 thf(zip_derived_cl35572, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 (~ ('#sk6' @ X0 @ ('#sk60' @ X0)) | ~ ('#sk48' @ ('#sk60' @ X0)))), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl413, zip_derived_cl35559])). 148.14/30.89 thf(zip_derived_cl115, plain, (( ('#sk1' @ '#sk48') | ('#sk2' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl114])). 148.14/30.89 thf(zip_derived_cl60, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 (~ ('#sk1' @ X4) | ~ (X4 @ X2) | ((X4) = ('#sk3' @ X2)))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 148.14/30.89 thf(zip_derived_cl312, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ( ('#sk2' @ '#sk48') | (('#sk48') = ('#sk3' @ X0)) | ~ ('#sk48' @ X0))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl60])). 148.14/30.89 thf(zip_derived_cl178, plain, ( ('#sk48' @ ('#sk11' @ '#sk48'))), 148.14/30.89 inference('clc', [status(thm)], [zip_derived_cl166, zip_derived_cl127])). 148.14/30.89 thf(zip_derived_cl1841, plain, 148.14/30.89 (((('#sk48') = ('#sk3' @ ('#sk11' @ '#sk48'))) | ('#sk2' @ '#sk48'))), 148.14/30.89 inference('sup+', [status(thm)], [zip_derived_cl312, zip_derived_cl178])). 148.14/30.89 thf(zip_derived_cl1938, plain, 148.14/30.89 (![X1 : a]: 148.14/30.89 ((('#sk48' @ X1) = ('#sk3' @ ('#sk11' @ '#sk48') @ X1)) 148.14/30.89 | ('#sk2' @ '#sk48'))), 148.14/30.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl1841])). 148.14/30.89 thf(zip_derived_cl1992, plain, 148.14/30.89 (![X1 : a]: 148.14/30.89 ( ('#sk48' @ X1) 148.14/30.89 | ~ ('#sk3' @ ('#sk11' @ '#sk48') @ X1) 148.14/30.89 | ('#sk2' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl1938])). 148.14/30.89 thf(zip_derived_cl35559, plain, (~ ('#sk2' @ '#sk48')), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl114, zip_derived_cl35558])). 148.14/30.89 thf(zip_derived_cl35620, plain, 148.14/30.89 (![X1 : a]: ( ('#sk48' @ X1) | ~ ('#sk3' @ ('#sk11' @ '#sk48') @ X1))), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl1992, zip_derived_cl35559])). 148.14/30.89 thf(zip_derived_cl177, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ( ('#sk2' @ '#sk48') 148.14/30.89 | (('#sk6' @ X0 @ ('#sk60' @ X0)) != ('#sk48' @ ('#sk60' @ X0))))), 148.14/30.89 inference('neg_ext', [status(thm)], [zip_derived_cl147])). 148.14/30.89 thf(zip_derived_cl412, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ( ('#sk6' @ X0 @ ('#sk60' @ X0)) 148.14/30.89 | ('#sk48' @ ('#sk60' @ X0)) 148.14/30.89 | ('#sk2' @ '#sk48'))), 148.14/30.89 inference('eq_elim', [status(thm)], [zip_derived_cl177])). 148.14/30.89 thf(zip_derived_cl40, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 (((((X4 @ X2) & ('#sk2' @ X4))) => (((X4) = ('#sk6' @ X2)))))), 148.14/30.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 148.14/30.89 thf(zip_derived_cl41, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((((('#sk6' @ X1 @ X0) & ('#sk2' @ ('#sk6' @ X1)))) => 148.14/30.89 ((('#sk6' @ X1) = ('#sk6' @ X0)))))), 148.14/30.89 inference('triggered_bool_instantiation', [status(thm)], 148.14/30.89 [zip_derived_cl40])). 148.14/30.89 thf(zip_derived_cl31, plain, (![X2 : a]: ('#sk2' @ ('#sk6' @ X2))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl241, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((((('#sk6' @ X1 @ X0) & ($true))) => 148.14/30.89 ((('#sk6' @ X1) = ('#sk6' @ X0)))))), 148.14/30.89 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl31])). 148.14/30.89 thf(zip_derived_cl242, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((('#sk6' @ X1 @ X0) => ((('#sk6' @ X1) = ('#sk6' @ X0)))))), 148.14/30.89 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl241])). 148.14/30.89 thf(zip_derived_cl243, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (~ ('#sk6' @ X1 @ X0) | ((('#sk6' @ X1) = ('#sk6' @ X0))))), 148.14/30.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl242])). 148.14/30.89 thf(zip_derived_cl244, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (~ ('#sk6' @ X1 @ X0) | (('#sk6' @ X1) = ('#sk6' @ X0)))), 148.14/30.89 inference('simplify nested equalities', [status(thm)], 148.14/30.89 [zip_derived_cl243])). 148.14/30.89 thf(zip_derived_cl441, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ( ('#sk2' @ '#sk48') 148.14/30.89 | ('#sk48' @ ('#sk60' @ X0)) 148.14/30.89 | (('#sk6' @ X0) = ('#sk6' @ ('#sk60' @ X0))))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl244])). 148.14/30.89 thf(zip_derived_cl35559, plain, (~ ('#sk2' @ '#sk48')), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl114, zip_derived_cl35558])). 148.14/30.89 thf(zip_derived_cl35574, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ( ('#sk48' @ ('#sk60' @ X0)) 148.14/30.89 | (('#sk6' @ X0) = ('#sk6' @ ('#sk60' @ X0))))), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl441, zip_derived_cl35559])). 148.14/30.89 thf(zip_derived_cl12087, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (('#sk3' @ X0 @ X1) = ('#sk3' @ ('#sk11' @ ('#sk6' @ X0)) @ X1))), 148.14/30.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl12012])). 148.14/30.89 thf(zip_derived_cl39330, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((('#sk3' @ ('#sk60' @ X0) @ X1) 148.14/30.89 = ('#sk3' @ ('#sk11' @ ('#sk6' @ X0)) @ X1)) 148.14/30.89 | ('#sk48' @ ('#sk60' @ X0)))), 148.14/30.89 inference('sup+', [status(thm)], 148.14/30.89 [zip_derived_cl35574, zip_derived_cl12087])). 148.14/30.89 thf(zip_derived_cl12087, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (('#sk3' @ X0 @ X1) = ('#sk3' @ ('#sk11' @ ('#sk6' @ X0)) @ X1))), 148.14/30.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl12012])). 148.14/30.89 thf(zip_derived_cl39373, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 ((('#sk3' @ ('#sk60' @ X0) @ X1) = ('#sk3' @ X0 @ X1)) 148.14/30.89 | ('#sk48' @ ('#sk60' @ X0)))), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl39330, zip_derived_cl12087])). 148.14/30.89 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk3' @ X2 @ X2)), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 148.14/30.89 thf(zip_derived_cl39411, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 ( ('#sk3' @ X0 @ ('#sk60' @ X0)) | ('#sk48' @ ('#sk60' @ X0)))), 148.14/30.89 inference('sup+', [status(thm)], [zip_derived_cl39373, zip_derived_cl28])). 148.14/30.89 thf(zip_derived_cl39456, plain, 148.14/30.89 (( ('#sk48' @ ('#sk60' @ ('#sk11' @ '#sk48'))) 148.14/30.89 | ('#sk48' @ ('#sk60' @ ('#sk11' @ '#sk48'))))), 148.14/30.89 inference('sup+', [status(thm)], 148.14/30.89 [zip_derived_cl35620, zip_derived_cl39411])). 148.14/30.89 thf(zip_derived_cl39464, plain, 148.14/30.89 ( ('#sk48' @ ('#sk60' @ ('#sk11' @ '#sk48')))), 148.14/30.89 inference('simplify', [status(thm)], [zip_derived_cl39456])). 148.14/30.89 thf(zip_derived_cl35558, plain, ( ('#sk1' @ '#sk48')), 148.14/30.89 inference('clc', [status(thm)], 148.14/30.89 [zip_derived_cl35546, zip_derived_cl28895])). 148.14/30.89 thf(zip_derived_cl60, plain, 148.14/30.89 (![X2 : a, X4 : a > $o]: 148.14/30.89 (~ ('#sk1' @ X4) | ~ (X4 @ X2) | ((X4) = ('#sk3' @ X2)))), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 148.14/30.89 thf(zip_derived_cl35567, plain, 148.14/30.89 (![X0 : a]: ((('#sk48') = ('#sk3' @ X0)) | ~ ('#sk48' @ X0))), 148.14/30.89 inference('sup-', [status(thm)], [zip_derived_cl35558, zip_derived_cl60])). 148.14/30.89 thf(zip_derived_cl39478, plain, 148.14/30.89 ((('#sk48') = ('#sk3' @ ('#sk60' @ ('#sk11' @ '#sk48'))))), 148.14/30.89 inference('sup-', [status(thm)], 148.14/30.89 [zip_derived_cl39464, zip_derived_cl35567])). 148.14/30.89 thf(zip_derived_cl7414, plain, 148.14/30.89 (![X0 : a, X1 : a]: 148.14/30.89 (('#sk6' @ X0 @ X1) = ('#sk6' @ ('#sk11' @ ('#sk3' @ X0)) @ X1))), 148.14/30.89 inference('ho_complete_eq', [status(thm)], [zip_derived_cl7371])). 148.14/30.89 thf(zip_derived_cl39536, plain, 148.14/30.89 (![X0 : a]: 148.14/30.89 (('#sk6' @ ('#sk60' @ ('#sk11' @ '#sk48')) @ X0) 148.14/30.89 = ('#sk6' @ ('#sk11' @ '#sk48') @ X0))), 148.14/30.89 inference('sup+', [status(thm)], 148.14/30.89 [zip_derived_cl39478, zip_derived_cl7414])). 148.14/30.89 thf(zip_derived_cl33, plain, (![X2 : a]: ('#sk6' @ X2 @ X2)), 148.14/30.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 148.14/30.89 thf(zip_derived_cl42065, plain, 148.14/30.89 ( ('#sk6' @ ('#sk11' @ '#sk48') @ ('#sk60' @ ('#sk11' @ '#sk48')))), 148.14/30.89 inference('sup+', [status(thm)], [zip_derived_cl39536, zip_derived_cl33])). 148.14/30.89 thf(zip_derived_cl42119, plain, 148.14/30.89 (~ ('#sk48' @ ('#sk60' @ ('#sk11' @ '#sk48')))), 148.14/30.89 inference('sup+', [status(thm)], 148.14/30.89 [zip_derived_cl35572, zip_derived_cl42065])). 148.14/30.89 thf(zip_derived_cl39464, plain, 148.14/30.89 ( ('#sk48' @ ('#sk60' @ ('#sk11' @ '#sk48')))), 148.14/30.89 inference('simplify', [status(thm)], [zip_derived_cl39456])). 148.14/30.89 thf(zip_derived_cl42123, plain, ($false), 148.14/30.89 inference('demod', [status(thm)], 148.14/30.89 [zip_derived_cl42119, zip_derived_cl39464])). 148.14/30.89 148.14/30.89 % SZS output end Refutation 148.14/30.89 148.14/30.89 148.14/30.89 % Terminating... 149.08/31.13 % Runner terminated. 149.08/31.13 % Zipperpin 1.5 exiting 149.08/31.13 EOF