0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.08 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GvFGYBvxJC true 0.15/0.45 % Computer : n021.cluster.edu 0.15/0.45 % Model : x86_64 x86_64 0.15/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.45 % Memory : 8046.5625MB 0.15/0.45 % OS : Linux 6.8.0-71-generic 0.15/0.45 % CPULimit : 1440 0.15/0.45 % WCLimit : 180 0.15/0.45 % DateTime : Mon Jul 27 15:21:08 UTC 2026 0.15/0.46 % CPUTime : 0.15/0.46 % Running portfolio for 1440 s 0.15/0.46 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.46 % Number of cores: 8 0.15/0.47 % Python version: Python 3.12.3 0.15/0.47 % Running in HO mode 0.41/0.85 % Total configuration time : 828 0.41/0.85 % Estimated wc time : 1656 0.41/0.85 % Estimated cpu time (8 cpus) : 207.0 0.43/0.99 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.43/1.07 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.43/1.08 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.43/1.09 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 2.07/1.12 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 2.07/1.12 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 2.07/1.13 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 2.07/1.17 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 201.51/29.81 % Solved by lams/40_b.comb.sh. 201.51/29.81 % done 282 iterations in 28.247s 201.51/29.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 201.51/29.81 % SZS output start Refutation 201.51/29.81 thf(iS_type, type, iS: $tType). 201.51/29.81 thf(x_type, type, x: iS). 201.51/29.81 thf('#sk12_type', type, '#sk12': (iS > iS > iS > $o) > iS). 201.51/29.81 thf('#sk5_type', type, '#sk5': (iS > $o) > iS). 201.51/29.81 thf('#sk11_type', type, '#sk11': (iS > iS > iS > $o) > iS). 201.51/29.81 thf('#sk10_type', type, '#sk10': (iS > iS > iS > $o) > iS). 201.51/29.81 thf(y_type, type, y: iS). 201.51/29.81 thf(c0_type, type, c0: iS). 201.51/29.81 thf('#sk9_type', type, '#sk9': (iS > iS > iS > $o) > iS). 201.51/29.81 thf(cP_type, type, cP: iS > iS > iS). 201.51/29.81 thf('#sk4_type', type, '#sk4': (iS > iS > iS > $o) > iS). 201.51/29.81 thf('#form13_type', type, '#form13': (iS > iS > iS > $o) > $o). 201.51/29.81 thf('#sk7_type', type, '#sk7': (iS > iS > iS > $o) > iS). 201.51/29.81 thf(z_type, type, z: iS). 201.51/29.81 thf('#sk1_type', type, '#sk1': iS > iS > iS > $o). 201.51/29.81 thf('#sk2_type', type, '#sk2': (iS > iS > iS > $o) > iS). 201.51/29.81 thf('#sk8_type', type, '#sk8': (iS > iS > iS > $o) > iS). 201.51/29.81 thf('#sk6_type', type, '#sk6': (iS > iS > iS > $o) > iS). 201.51/29.81 thf('#sk3_type', type, '#sk3': (iS > $o) > iS). 201.51/29.81 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 201.51/29.81 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 201.51/29.81 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 201.51/29.81 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 201.51/29.81 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 201.51/29.81 thf(cS_INCL_LEM7_pme, conjecture, 201.51/29.81 (( ( ![Xx0:iS,Xy0:iS]: ( ( cP @ Xx0 @ Xy0 ) != ( c0 ) ) ) & 201.51/29.81 ( ![X:( iS > $o )]: 201.51/29.81 ( ( ( X @ c0 ) & 201.51/29.81 ( ![Xx0:iS,Xy0:iS]: 201.51/29.81 ( ( ( X @ Xy0 ) & ( X @ Xx0 ) ) => ( X @ ( cP @ Xx0 @ Xy0 ) ) ) ) ) => 201.51/29.81 ( ![Xx0:iS]: ( X @ Xx0 ) ) ) ) & 201.51/29.81 ( ![Xx0:iS,Xy0:iS,Xu:iS,Xv:iS]: 201.51/29.81 ( ( ( cP @ Xx0 @ Xu ) = ( cP @ Xy0 @ Xv ) ) => 201.51/29.81 ( ( ( Xx0 ) = ( Xy0 ) ) & ( ( Xu ) = ( Xv ) ) ) ) ) ) => 201.51/29.81 ( ( ![R:( iS > iS > iS > $o )]: 201.51/29.81 ( ( ![Xa:iS,Xb:iS,Xc:iS]: 201.51/29.81 ( ( ( ?[Xx1:iS,Xx2:iS,Xy1:iS,Xy2:iS,Xz1:iS,Xz2:iS]: 201.51/29.81 ( ( ( Xa ) = ( cP @ Xx1 @ Xx2 ) ) & 201.51/29.81 ( R @ Xx1 @ Xy1 @ Xz1 ) & ( R @ Xx2 @ Xy2 @ Xz2 ) & 201.51/29.81 ( ( Xc ) = ( cP @ Xz1 @ Xz2 ) ) & 201.51/29.81 ( ( Xb ) = ( cP @ Xy1 @ Xy2 ) ) ) ) | 201.51/29.81 ( ( ( Xa ) = ( Xc ) ) & ( ( Xb ) = ( c0 ) ) ) | 201.51/29.81 ( ( ( Xa ) = ( c0 ) ) & ( ( Xb ) = ( Xc ) ) ) ) => 201.51/29.81 ( R @ Xa @ Xb @ Xc ) ) ) => 201.51/29.81 ( R @ x @ y @ y ) ) ) => 201.51/29.81 ( ![R:( iS > iS > iS > $o )]: 201.51/29.81 ( ( ![Xa:iS,Xb:iS,Xc:iS]: 201.51/29.81 ( ( ( ?[Xx1:iS,Xx2:iS,Xy1:iS,Xy2:iS,Xz1:iS,Xz2:iS]: 201.51/29.81 ( ( ( Xa ) = ( cP @ Xx1 @ Xx2 ) ) & 201.51/29.81 ( ( Xb ) = ( cP @ Xy1 @ Xy2 ) ) & 201.51/29.81 ( R @ Xx2 @ Xy2 @ Xz2 ) & ( R @ Xx1 @ Xy1 @ Xz1 ) & 201.51/29.81 ( ( Xc ) = ( cP @ Xz1 @ Xz2 ) ) ) ) | 201.51/29.81 ( ( ( Xb ) = ( c0 ) ) & ( ( Xa ) = ( Xc ) ) ) | 201.51/29.81 ( ( ( Xa ) = ( c0 ) ) & ( ( Xb ) = ( Xc ) ) ) ) => 201.51/29.81 ( R @ Xa @ Xb @ Xc ) ) ) => 201.51/29.81 ( R @ ( cP @ x @ z ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ) ))). 201.51/29.81 thf(zf_stmt_0, negated_conjecture, 201.51/29.81 (~( ( ( ![Xx0:iS,Xy0:iS]: ( ( cP @ Xx0 @ Xy0 ) != ( c0 ) ) ) & 201.51/29.81 ( ![X:( iS > $o )]: 201.51/29.81 ( ( ( X @ c0 ) & 201.51/29.81 ( ![Xx0:iS,Xy0:iS]: 201.51/29.81 ( ( ( X @ Xy0 ) & ( X @ Xx0 ) ) => ( X @ ( cP @ Xx0 @ Xy0 ) ) ) ) ) => 201.51/29.81 ( ![Xx0:iS]: ( X @ Xx0 ) ) ) ) & 201.51/29.81 ( ![Xx0:iS,Xy0:iS,Xu:iS,Xv:iS]: 201.51/29.81 ( ( ( cP @ Xx0 @ Xu ) = ( cP @ Xy0 @ Xv ) ) => 201.51/29.81 ( ( ( Xx0 ) = ( Xy0 ) ) & ( ( Xu ) = ( Xv ) ) ) ) ) ) => 201.51/29.81 ( ( ![R:( iS > iS > iS > $o )]: 201.51/29.81 ( ( ![Xa:iS,Xb:iS,Xc:iS]: 201.51/29.81 ( ( ( ?[Xx1:iS,Xx2:iS,Xy1:iS,Xy2:iS,Xz1:iS,Xz2:iS]: 201.51/29.81 ( ( ( Xa ) = ( cP @ Xx1 @ Xx2 ) ) & 201.51/29.81 ( R @ Xx1 @ Xy1 @ Xz1 ) & ( R @ Xx2 @ Xy2 @ Xz2 ) & 201.51/29.81 ( ( Xc ) = ( cP @ Xz1 @ Xz2 ) ) & 201.51/29.81 ( ( Xb ) = ( cP @ Xy1 @ Xy2 ) ) ) ) | 201.51/29.81 ( ( ( Xa ) = ( Xc ) ) & ( ( Xb ) = ( c0 ) ) ) | 201.51/29.81 ( ( ( Xa ) = ( c0 ) ) & ( ( Xb ) = ( Xc ) ) ) ) => 201.51/29.81 ( R @ Xa @ Xb @ Xc ) ) ) => 201.51/29.81 ( R @ x @ y @ y ) ) ) => 201.51/29.81 ( ![R:( iS > iS > iS > $o )]: 201.51/29.81 ( ( ![Xa:iS,Xb:iS,Xc:iS]: 201.51/29.81 ( ( ( ?[Xx1:iS,Xx2:iS,Xy1:iS,Xy2:iS,Xz1:iS,Xz2:iS]: 201.51/29.81 ( ( ( Xa ) = ( cP @ Xx1 @ Xx2 ) ) & 201.51/29.81 ( ( Xb ) = ( cP @ Xy1 @ Xy2 ) ) & 201.51/29.81 ( R @ Xx2 @ Xy2 @ Xz2 ) & ( R @ Xx1 @ Xy1 @ Xz1 ) & 201.51/29.81 ( ( Xc ) = ( cP @ Xz1 @ Xz2 ) ) ) ) | 201.51/29.81 ( ( ( Xb ) = ( c0 ) ) & ( ( Xa ) = ( Xc ) ) ) | 201.51/29.81 ( ( ( Xa ) = ( c0 ) ) & ( ( Xb ) = ( Xc ) ) ) ) => 201.51/29.81 ( R @ Xa @ Xb @ Xc ) ) ) => 201.51/29.81 ( R @ ( cP @ x @ z ) @ ( cP @ y @ z ) @ ( cP @ y @ z ) ) ) ) ) )), 201.51/29.81 inference('cnf.neg', [status(esa)], [cS_INCL_LEM7_pme])). 201.51/29.81 thf(zip_derived_cl0, plain, 201.51/29.81 (~ (((((((!!) @ (^[Y0 : iS]: 201.51/29.81 (((!!) @ (^[Y1 : iS]: (((cP @ Y0 @ Y1) != (c0))))))))) & 201.51/29.81 (((!!) @ (^[Y0 : iS > $o]: 201.51/29.81 (((((Y0 @ c0) & 201.51/29.81 (((!!) @ (^[Y1 : iS]: 201.51/29.81 (((!!) @ (^[Y2 : iS]: 201.51/29.81 (((((Y0 @ Y2) & (Y0 @ Y1))) => 201.51/29.81 (Y0 @ (cP @ Y1 @ Y2)))))))))))) => 201.51/29.81 (((!!) @ (^[Y1 : iS]: (Y0 @ Y1))))))))) & 201.51/29.81 (((!!) @ (^[Y0 : iS]: 201.51/29.81 (((!!) @ (^[Y1 : iS]: 201.51/29.81 (((!!) @ (^[Y2 : iS]: 201.51/29.81 (((!!) @ (^[Y3 : iS]: 201.51/29.81 (((((cP @ Y0 @ 201.51/29.81 Y2) = (cP @ 201.51/29.81 Y1 @ Y3))) => 201.51/29.81 (((((Y0) = (Y1))) & 201.51/29.81 (((Y2) = (Y3))))))))))))))))))))) => 201.51/29.81 (((((!!) @ (^[Y0 : iS > iS > iS > $o]: 201.51/29.81 (((((!!) @ (^[Y1 : iS]: 201.51/29.81 (((!!) @ (^[Y2 : iS]: 201.51/29.81 (((!!) @ (^[Y3 : iS]: 201.51/29.81 (((((((??) @ ( 201.51/29.81 ^[Y4 : iS]: 201.51/29.81 (( 201.51/29.81 (??) @ ( 201.51/29.81 ^[Y5 : iS]: 201.51/29.81 (( 201.51/29.81 (??) @ ( 201.51/29.81 ^[Y6 : iS]: 201.51/29.81 (( 201.51/29.81 (??) @ ( 201.51/29.81 ^[Y7 : iS]: 201.51/29.81 (( 201.51/29.81 (??) @ ( 201.51/29.81 ^[Y8 : iS]: 201.51/29.81 (( 201.51/29.81 (??) @ ( 201.51/29.81 ^[Y9 : iS]: 201.51/29.81 (( 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 (Y1) = 201.51/29.81 (cP @ 201.51/29.81 Y4 @ Y5))) & 201.51/29.81 ( 201.51/29.81 Y0 @ 201.51/29.81 Y4 @ 201.51/29.81 Y6 @ Y8) & 201.51/29.81 ( 201.51/29.81 Y0 @ 201.51/29.81 Y5 @ 201.51/29.81 Y7 @ Y9) & 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 (Y3) = 201.51/29.81 (cP @ 201.51/29.81 Y8 @ Y9))) & 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 (Y2) = 201.51/29.81 (cP @ 201.51/29.81 Y6 @ Y7))))))))))))))))))))))) | 201.51/29.81 (((( 201.51/29.81 (Y1) = 201.51/29.81 (Y3))) & 201.51/29.81 (( 201.51/29.81 (Y2) = 201.51/29.81 (c0))))) | 201.51/29.81 (((( 201.51/29.81 (Y1) = 201.51/29.81 (c0))) & 201.51/29.81 (( 201.51/29.81 (Y2) = 201.51/29.81 (Y3))))))) => 201.51/29.81 (Y0 @ Y1 @ 201.51/29.81 Y2 @ Y3)))))))))))) => 201.51/29.81 (Y0 @ x @ y @ y)))))) => 201.51/29.81 (((!!) @ (^[Y0 : iS > iS > iS > $o]: 201.51/29.81 (((((!!) @ (^[Y1 : iS]: 201.51/29.81 (((!!) @ (^[Y2 : iS]: 201.51/29.81 (((!!) @ (^[Y3 : iS]: 201.51/29.81 (((((((??) @ ( 201.51/29.81 ^[Y4 : iS]: 201.51/29.81 (( 201.51/29.81 (??) @ ( 201.51/29.81 ^[Y5 : iS]: 201.51/29.81 (( 201.51/29.81 (??) @ ( 201.51/29.81 ^[Y6 : iS]: 201.51/29.81 (( 201.51/29.81 (??) @ ( 201.51/29.81 ^[Y7 : iS]: 201.51/29.81 (( 201.51/29.81 (??) @ ( 201.51/29.81 ^[Y8 : iS]: 201.51/29.81 (( 201.51/29.81 (??) @ ( 201.51/29.81 ^[Y9 : iS]: 201.51/29.81 (( 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 (Y1) = 201.51/29.81 (cP @ 201.51/29.81 Y4 @ Y5))) & 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 (Y2) = 201.51/29.81 (cP @ 201.51/29.81 Y6 @ Y7))) & 201.51/29.81 ( 201.51/29.81 Y0 @ 201.51/29.81 Y5 @ 201.51/29.81 Y7 @ Y9) & 201.51/29.81 ( 201.51/29.81 Y0 @ 201.51/29.81 Y4 @ 201.51/29.81 Y6 @ Y8) & 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 (Y3) = 201.51/29.81 (cP @ 201.51/29.81 Y8 @ Y9))))))))))))))))))))))) | 201.51/29.81 (((( 201.51/29.81 (Y2) = 201.51/29.81 (c0))) & 201.51/29.81 (( 201.51/29.81 (Y1) = 201.51/29.81 (Y3))))) | 201.51/29.81 (((( 201.51/29.81 (Y1) = 201.51/29.81 (c0))) & 201.51/29.81 (( 201.51/29.81 (Y2) = 201.51/29.81 (Y3))))))) => 201.51/29.81 (Y0 @ Y1 @ 201.51/29.81 Y2 @ Y3)))))))))))) => 201.51/29.81 (Y0 @ (cP @ x @ z) @ (cP @ y @ z) @ (cP @ y @ z)))))))))))), 201.51/29.81 inference('cnf', [status(esa)], [zf_stmt_0])). 201.51/29.81 thf(zip_derived_cl1, plain, 201.51/29.81 (~ (((((((!!) @ ((('#B') @ (!!) @ 201.51/29.81 ((('#C') @ ((('#B') @ ('#C') @ 201.51/29.81 ((('#B') @ ((('#B') @ (!=))) @ cP)))) @ 201.51/29.81 c0)))))) & 201.51/29.81 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 201.51/29.81 ((('#S') @ ((('#B') @ (&) @ 201.51/29.81 ((('#C') @ ('#I') @ c0)))) @ 201.51/29.81 ((('#B') @ (!!) @ 201.51/29.81 ((('#B') @ ((('#B') @ (!!))) @ 201.51/29.81 ((('#S') @ ((('#B') @ ('#S') @ 201.51/29.81 ((('#B') @ ((('#B') @ ( 201.51/29.81 '#S'))) @ 201.51/29.81 ((('#B') @ ((('#B') @ ( 201.51/29.81 (('#B') @ ( 201.51/29.81 =>))))) @ 201.51/29.81 ((('#S') @ (( 201.51/29.81 ('#B') @ ( 201.51/29.81 '#B') @ 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 '#C') @ 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 &))))))) @ 201.51/29.81 ('#I'))))))))) @ 201.51/29.81 ((('#C') @ ((('#B') @ ('#B') @ 201.51/29.81 ('#B'))) @ 201.51/29.81 cP)))))))))))) @ 201.51/29.81 (!!))))) & 201.51/29.81 (((!!) @ ((('#B') @ (!!) @ 201.51/29.81 ((('#B') @ ((('#B') @ (!!))) @ 201.51/29.81 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 201.51/29.81 ((('#S') @ ((('#B') @ ('#S') @ 201.51/29.81 ((('#B') @ ((('#B') @ ('#S'))) @ 201.51/29.81 ((('#B') @ ((('#B') @ ((('#B') @ ( 201.51/29.81 '#S'))))) @ 201.51/29.81 ((('#B') @ ((('#B') @ ((('#B') @ ( 201.51/29.81 (('#B') @ ( 201.51/29.81 =>))))))) @ 201.51/29.81 ((('#C') @ ((('#B') @ ('#B') @ 201.51/29.81 ((('#B') @ ( 201.51/29.81 '#C') @ 201.51/29.81 ((('#B') @ ( 201.51/29.81 (('#B') @ ( 201.51/29.81 '#B'))) @ 201.51/29.81 ((('#B') @ ( 201.51/29.81 (('#B') @ (=))) @ 201.51/29.81 cP)))))))) @ 201.51/29.81 cP)))))))))) @ 201.51/29.81 ((('#C') @ ((('#B') @ ('#C') @ 201.51/29.81 ((('#B') @ ((('#B') @ ('#B'))) @ 201.51/29.81 ((('#B') @ ((('#B') @ ('#B'))) @ 201.51/29.81 ((('#B') @ ((('#B') @ (&))) @ 201.51/29.81 (=))))))))) @ 201.51/29.81 (=))))))))))))))) => 201.51/29.81 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 201.51/29.81 ((('#B') @ (!!) @ 201.51/29.81 ((('#B') @ ((('#B') @ (!!))) @ 201.51/29.81 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 201.51/29.81 ((('#S') @ ((('#B') @ ('#S') @ 201.51/29.81 ((('#B') @ ((('#B') @ ( 201.51/29.81 '#S'))) @ 201.51/29.81 ((('#B') @ ((('#B') @ ( 201.51/29.81 (('#B') @ ( 201.51/29.81 '#S'))))) @ 201.51/29.81 ((('#B') @ (( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 =>))))))) @ 201.51/29.81 ((('#C') @ ( 201.51/29.81 (('#B') @ ( 201.51/29.81 '#S') @ 201.51/29.81 ((('#B') @ ( 201.51/29.81 (('#B') @ ( 201.51/29.81 '#S'))) @ 201.51/29.81 ((('#B') @ ( 201.51/29.81 (('#B') @ ( 201.51/29.81 (('#B') @ ( 201.51/29.81 '#S'))))) @ 201.51/29.81 ((('#C') @ ( 201.51/29.81 (('#B') @ ( 201.51/29.81 '#S') @ 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 '#S'))) @ 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 '#S'))))) @ 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 |))))))) @ 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ??))))))) @ 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ??))))))))) @ 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ??))))))))))) @ 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ??))))))))))))) @ 201.51/29.81 ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ( 201.51/29.81 ('#B') @ ( 201.51/29.81 ??))))))))))))))) @ 201.51/29.81 ( 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218.64/29.82 '#S'))))) @ 218.64/29.82 ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 '#C'))))))) @ 218.64/29.82 ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 '#S'))))))))) @ 218.64/29.82 ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 '#C'))))))))))) @ 218.64/29.82 ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 '#B'))))))))))))) @ 218.64/29.82 ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 '#C'))))))))))))) @ 218.64/29.82 ( 218.64/29.82 ( 218.64/29.82 ('#C') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 '#C') @ 218.64/29.82 ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 '#C'))) @ 218.64/29.82 ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 '#S'))))) @ 218.64/29.82 ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 '#C'))))))) @ 218.64/29.82 ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.82 ( 218.64/29.82 ('#B') @ ( 218.64/29.83 '#S'))))))))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B'))))))))))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#C') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B') @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#C') @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#C'))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B'))))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B'))))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 &))))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#C') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B') @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B') @ 218.64/29.83 ( 218.64/29.83 =))))) @ 218.64/29.83 cP)))))))))))))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#C') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B') @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B') @ 218.64/29.83 ( 218.64/29.83 =))))) @ 218.64/29.83 cP)))))))))))))))))))))))))))))))))) @ 218.64/29.83 ( 218.64/29.83 '#I'))))))))))))))))))))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#C') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B') @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B') @ 218.64/29.83 ( 218.64/29.83 =))))) @ 218.64/29.83 cP)))))))))))))))))))))))) @ 218.64/29.83 (( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#C') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B') @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 &) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#C') @ ( 218.64/29.83 =) @ c0)))))))) @ 218.64/29.83 ( 218.64/29.83 =))))))))))) @ 218.64/29.83 ((('#C') @ ( 218.64/29.83 (('#B') @ ( 218.64/29.83 '#B') @ 218.64/29.83 ((('#B') @ ( 218.64/29.83 '#B') @ 218.64/29.83 ((('#B') @ ( 218.64/29.83 &) @ 218.64/29.83 (( 218.64/29.83 ('#C') @ ( 218.64/29.83 =) @ c0)))))))) @ 218.64/29.83 (=))))))))))))) @ 218.64/29.83 ('#I'))))))))))) @ 218.64/29.83 ((('#C') @ ((('#C') @ ((('#C') @ ('#I') @ (cP @ x @ z))) @ 218.64/29.83 (cP @ y @ z))) @ 218.64/29.83 (cP @ y @ z)))))))))))), 218.64/29.83 inference('lams2combs', [status(thm)], [zip_derived_cl0])). 218.64/29.83 thf(zip_derived_cl2, plain, 218.64/29.83 ( (((((!!) @ ((('#B') @ (!!) @ 218.64/29.83 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.83 ((('#B') @ ((('#B') @ (!=))) @ cP)))) @ 218.64/29.83 c0)))))) & 218.64/29.83 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 218.64/29.83 ((('#S') @ ((('#B') @ (&) @ 218.64/29.83 ((('#C') @ ('#I') @ c0)))) @ 218.64/29.83 ((('#B') @ (!!) @ 218.64/29.83 ((('#B') @ ((('#B') @ (!!))) @ 218.64/29.83 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.83 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.83 ((('#B') @ ((('#B') @ ( 218.64/29.83 (('#B') @ ( 218.64/29.83 =>))))) @ 218.64/29.83 ((('#S') @ ((('#B') @ ( 218.64/29.83 '#B') @ 218.64/29.83 ((('#B') @ ( 218.64/29.83 '#C') @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 &))))))) @ 218.64/29.83 ('#I'))))))))) @ 218.64/29.83 ((('#C') @ ((('#B') @ ('#B') @ ('#B'))) @ 218.64/29.83 cP)))))))))))) @ 218.64/29.83 (!!))))) & 218.64/29.83 (((!!) @ ((('#B') @ (!!) @ 218.64/29.83 ((('#B') @ ((('#B') @ (!!))) @ 218.64/29.83 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 218.64/29.83 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.83 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.83 ((('#B') @ ((('#B') @ ((('#B') @ ('#S'))))) @ 218.64/29.83 ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.83 (('#B') @ ( 218.64/29.83 =>))))))) @ 218.64/29.83 ((('#C') @ ((('#B') @ ('#B') @ 218.64/29.83 ((('#B') @ ('#C') @ 218.64/29.83 ((('#B') @ ( 218.64/29.83 (('#B') @ ('#B'))) @ 218.64/29.83 ((('#B') @ ( 218.64/29.83 (('#B') @ (=))) @ 218.64/29.83 cP)))))))) @ 218.64/29.83 cP)))))))))) @ 218.64/29.83 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.83 ((('#B') @ ((('#B') @ ('#B'))) @ 218.64/29.83 ((('#B') @ ((('#B') @ ('#B'))) @ 218.64/29.83 ((('#B') @ ((('#B') @ (&))) @ (=))))))))) @ 218.64/29.83 (=)))))))))))))))), 218.64/29.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 218.64/29.83 thf(zip_derived_cl5, plain, 218.64/29.83 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 218.64/29.83 ((('#S') @ ((('#B') @ (&) @ 218.64/29.83 ((('#C') @ ('#I') @ c0)))) @ 218.64/29.83 ((('#B') @ (!!) @ 218.64/29.83 ((('#B') @ ((('#B') @ (!!))) @ 218.64/29.83 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.83 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.83 ((('#B') @ ((('#B') @ ( 218.64/29.83 (('#B') @ (=>))))) @ 218.64/29.83 ((('#S') @ ((('#B') @ ( 218.64/29.83 '#B') @ 218.64/29.83 ((('#B') @ ( 218.64/29.83 '#C') @ 218.64/29.83 ((('#B') @ ( 218.64/29.83 &))))))) @ 218.64/29.83 ('#I'))))))))) @ 218.64/29.83 ((('#C') @ ((('#B') @ ('#B') @ ('#B'))) @ 218.64/29.83 cP)))))))))))) @ 218.64/29.83 (!!)))))), 218.64/29.83 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])). 218.64/29.83 thf(zip_derived_cl10, plain, 218.64/29.83 (![X2 : iS > $o]: 218.64/29.83 (((((X2 @ c0) & 218.64/29.83 (((!!) @ ((('#B') @ (!!) @ 218.64/29.83 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.83 ((('#B') @ ((('#B') @ (=>))) @ 218.64/29.83 ((('#B') @ ((('#C') @ ((('#B') @ ( 218.64/29.83 &) @ X2)))) @ 218.64/29.83 X2)))))) @ 218.64/29.83 ((('#B') @ ((('#B') @ X2)) @ cP)))))))))) => 218.64/29.83 (((!!) @ X2))))), 218.64/29.83 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 218.64/29.83 thf(zip_derived_cl15, plain, 218.64/29.83 (![X2 : iS > $o]: 218.64/29.83 (~ (((X2 @ c0) & 218.64/29.83 (((!!) @ ((('#B') @ (!!) @ 218.64/29.83 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.83 ((('#B') @ ((('#B') @ (=>))) @ 218.64/29.83 ((('#B') @ ((('#C') @ ((('#B') @ ( 218.64/29.83 &) @ X2)))) @ 218.64/29.83 X2)))))) @ 218.64/29.83 ((('#B') @ ((('#B') @ X2)) @ cP)))))))))) 218.64/29.83 | (((!!) @ X2)))), 218.64/29.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 218.64/29.83 thf(zip_derived_cl21, plain, 218.64/29.83 (![X2 : iS > $o]: 218.64/29.83 (~ (X2 @ c0) 218.64/29.83 | ~ (((!!) @ ((('#B') @ (!!) @ 218.64/29.83 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.83 ((('#B') @ ((('#B') @ (=>))) @ 218.64/29.83 ((('#B') @ ((('#C') @ ((('#B') @ ( 218.64/29.83 &) @ X2)))) @ 218.64/29.83 X2)))))) @ 218.64/29.83 ((('#B') @ ((('#B') @ X2)) @ cP)))))))) 218.64/29.83 | (((!!) @ X2)))), 218.64/29.83 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])). 218.64/29.83 thf(zip_derived_cl25, plain, 218.64/29.83 (![X2 : iS > $o]: 218.64/29.83 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 218.64/29.83 ((('#C') @ ((('#B') @ (&) @ X2)) @ 218.64/29.83 (X2 @ ('#sk3' @ X2)))))) @ 218.64/29.83 ((('#B') @ X2 @ (cP @ ('#sk3' @ X2)))))))) 218.64/29.83 | (((!!) @ X2)) 218.64/29.83 | ~ (X2 @ c0))), 218.64/29.83 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 218.64/29.83 thf(zip_derived_cl29, plain, 218.64/29.83 (![X2 : iS > $o]: 218.64/29.83 (~ (((((X2 @ ('#sk5' @ X2)) & (X2 @ ('#sk3' @ X2)))) => (X2 @ 218.64/29.83 (cP @ ('#sk3' @ X2) @ ('#sk5' @ X2))))) 218.64/29.83 | ~ (X2 @ c0) 218.64/29.83 | (((!!) @ X2)))), 218.64/29.83 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl25])). 218.64/29.83 thf(zip_derived_cl34, plain, 218.64/29.83 (![X2 : iS > $o]: 218.64/29.83 (~ (X2 @ (cP @ ('#sk3' @ X2) @ ('#sk5' @ X2))) 218.64/29.83 | (((!!) @ X2)) 218.64/29.83 | ~ (X2 @ c0))), 218.64/29.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])). 218.64/29.83 thf(zip_derived_cl43, plain, 218.64/29.83 (![X2 : iS > $o, X4 : iS]: 218.64/29.83 ( (X2 @ X4) 218.64/29.83 | ~ (X2 @ c0) 218.64/29.83 | ~ (X2 @ (cP @ ('#sk3' @ X2) @ ('#sk5' @ X2))))), 218.64/29.83 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl34])). 218.64/29.83 thf(zip_derived_cl3, plain, 218.64/29.83 (~ (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 218.64/29.83 ((('#B') @ (!!) @ 218.64/29.83 ((('#B') @ ((('#B') @ (!!))) @ 218.64/29.83 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 218.64/29.83 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.83 ((('#B') @ ((('#B') @ ( 218.64/29.83 '#S'))) @ 218.64/29.83 ((('#B') @ ((('#B') @ ( 218.64/29.83 (('#B') @ ( 218.64/29.83 '#S'))))) @ 218.64/29.83 ((('#B') @ ((('#B') @ ( 218.64/29.83 (('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 =>))))))) @ 218.64/29.83 ((('#C') @ (( 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218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ??))))))))))))))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ??))))))))))))))))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#C') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#C') @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B'))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 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218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#C'))))))))))))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#C'))))))))))))))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#C') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#C') @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#B'))) @ 218.64/29.83 ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 ( 218.64/29.83 ('#B') @ ( 218.64/29.83 '#C'))) @ 218.64/29.83 ( 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218.64/29.84 ((('#B') @ ( 218.64/29.84 '#B') @ 218.64/29.84 ((('#B') @ ( 218.64/29.84 &) @ 218.64/29.84 ((('#C') @ ( 218.64/29.84 =) @ c0)))))))) @ 218.64/29.84 (=))))))))))))) @ 218.64/29.84 ('#I'))))))))))) @ 218.64/29.84 ((('#C') @ ((('#C') @ ((('#C') @ ('#I') @ (cP @ x @ z))) @ 218.64/29.84 (cP @ y @ z))) @ 218.64/29.84 (cP @ y @ z)))))))))), 218.64/29.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 218.64/29.84 thf(zip_derived_cl8, plain, 218.64/29.84 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 218.64/29.84 ((('#B') @ (!!) @ 218.64/29.84 ((('#B') @ ((('#B') @ (!!))) @ 218.64/29.84 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 218.64/29.84 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.84 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.84 ((('#B') @ ((('#B') @ ( 218.64/29.84 (('#B') @ ( 218.64/29.84 '#S'))))) @ 218.64/29.84 ((('#B') @ ((('#B') @ ( 218.64/29.84 (('#B') @ ( 218.64/29.84 (('#B') @ ( 218.64/29.84 =>))))))) @ 218.64/29.84 ((('#C') @ ((('#B') @ ( 218.64/29.84 '#S') @ 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218.64/29.84 '#B'))))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#C') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C') @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#S'))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#S'))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B'))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#C') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B') @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C') @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B'))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B'))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 &))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#C') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B') @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B') @ 218.64/29.84 ( 218.64/29.84 =))))) @ 218.64/29.84 cP)))))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#C') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B') @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B') @ 218.64/29.84 ( 218.64/29.84 =))))) @ 218.64/29.84 cP)))))))))))))))))))))))))))))))))) @ 218.64/29.84 ( 218.64/29.84 '#I'))))))))))))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#C') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B') @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B') @ 218.64/29.84 ( 218.64/29.84 =))))) @ 218.64/29.84 cP)))))))))))))))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#C') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B') @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 &) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#C') @ ( 218.64/29.84 =) @ c0)))))))) @ 218.64/29.84 ( 218.64/29.84 =))))))))))) @ 218.64/29.84 ((('#C') @ (( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B') @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B') @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 &) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#C') @ ( 218.64/29.84 =) @ c0)))))))) @ 218.64/29.84 (=))))))))))))) @ 218.64/29.84 ('#I'))))))))))) @ 218.64/29.84 ((('#C') @ ((('#C') @ ((('#C') @ ('#I') @ (cP @ x @ z))) @ 218.64/29.84 (cP @ y @ z))) @ 218.64/29.84 (cP @ y @ z)))))))), 218.64/29.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 218.64/29.84 thf(zip_derived_cl13, plain, 218.64/29.84 (~ (((((!!) @ ((('#B') @ (!!) @ 218.64/29.84 ((('#B') @ ((('#B') @ (!!))) @ 218.64/29.84 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.84 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.84 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 218.64/29.84 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.84 ((('#B') @ ((('#B') @ ( 218.64/29.84 '#S'))) @ 218.64/29.84 ((('#S') @ ((('#B') @ ( 218.64/29.84 '#S') @ 218.64/29.84 (( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#S'))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 |))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ??))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ??))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ??))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ??))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ??))))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ??))))))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#C') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C') @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B'))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#S'))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#S'))))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#C') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C') @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#S'))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#S'))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#B'))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))))))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#C') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C') @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#S'))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 '#C'))))))) @ 218.64/29.84 ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.84 ('#B') @ ( 218.64/29.84 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 &))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 =))))) @ 218.64/29.85 cP)))))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 =))))) @ 218.64/29.85 cP)))))))))))))))) @ 218.64/29.85 '#sk1')))))))))))))))) @ 218.64/29.85 '#sk1')))))))))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 =))))) @ 218.64/29.85 cP)))))))))))))))))))))) @ 218.64/29.85 ((('#B') @ (( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 &) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 =) @ c0)))))))) @ 218.64/29.85 (=))))))))) @ 218.64/29.85 ((('#C') @ ((('#B') @ ('#B') @ 218.64/29.85 ((('#B') @ ('#B') @ 218.64/29.85 ((('#B') @ (&) @ 218.64/29.85 ((('#C') @ (=) @ c0)))))))) @ 218.64/29.85 (=))))))))))) @ 218.64/29.85 '#sk1')))))))) => 218.64/29.85 ('#sk1' @ (cP @ x @ z) @ (cP @ y @ z) @ (cP @ y @ z))))), 218.64/29.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 218.64/29.85 thf(zip_derived_cl19, plain, 218.64/29.85 (~ ('#sk1' @ (cP @ x @ z) @ (cP @ y @ z) @ (cP @ y @ z))), 218.64/29.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])). 218.64/29.85 thf(zip_derived_cl33, plain, 218.64/29.85 (![X2 : iS > $o]: 218.64/29.85 ( (((X2 @ ('#sk5' @ X2)) & (X2 @ ('#sk3' @ X2)))) 218.64/29.85 | (((!!) @ X2)) 218.64/29.85 | ~ (X2 @ c0))), 218.64/29.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])). 218.64/29.85 thf(zip_derived_cl42, plain, 218.64/29.85 (![X2 : iS > $o]: ( (X2 @ ('#sk3' @ X2)) | ~ (X2 @ c0) | (((!!) @ X2)))), 218.64/29.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])). 218.64/29.85 thf(zip_derived_cl51, plain, 218.64/29.85 (![X2 : iS > $o, X4 : iS]: 218.64/29.85 ( (X2 @ X4) | ~ (X2 @ c0) | (X2 @ ('#sk3' @ X2)))), 218.64/29.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl42])). 218.64/29.85 thf(zip_derived_cl57, plain, 218.64/29.85 (![X0 : iS > $o]: ( (X0 @ ('#sk3' @ X0)) | ~ (X0 @ c0))), 218.64/29.85 inference('condensation', [status(thm)], [zip_derived_cl51])). 218.64/29.85 thf(zip_derived_cl41, plain, 218.64/29.85 (![X2 : iS > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ (X2 @ c0) | (((!!) @ X2)))), 218.64/29.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])). 218.64/29.85 thf(zip_derived_cl50, plain, 218.64/29.85 (![X2 : iS > $o, X4 : iS]: 218.64/29.85 ( (X2 @ X4) | ~ (X2 @ c0) | (X2 @ ('#sk5' @ X2)))), 218.64/29.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl41])). 218.64/29.85 thf(zip_derived_cl56, plain, 218.64/29.85 (![X0 : iS > $o]: ( (X0 @ ('#sk5' @ X0)) | ~ (X0 @ c0))), 218.64/29.85 inference('condensation', [status(thm)], [zip_derived_cl50])). 218.64/29.85 thf(zip_derived_cl18, plain, 218.64/29.85 ( (((!!) @ ((('#B') @ (!!) @ 218.64/29.85 ((('#B') @ ((('#B') @ (!!))) @ 218.64/29.85 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.85 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.85 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 218.64/29.85 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.85 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.85 ((('#S') @ ((('#B') @ ( 218.64/29.85 '#S') @ 218.64/29.85 ((('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 '#S'))) @ 218.64/29.85 ((('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 |))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ??))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ??))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ??))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ??))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ??))))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ??))))))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 &))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 =))))) @ 218.64/29.85 cP)))))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 =))))) @ 218.64/29.85 cP)))))))))))))))) @ 218.64/29.85 '#sk1')))))))))))))))) @ 218.64/29.85 '#sk1')))))))))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 =))))) @ 218.64/29.85 cP)))))))))))))))))))))) @ 218.64/29.85 ((('#B') @ ((('#C') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 (( 218.64/29.85 ('#B') @ ( 218.64/29.85 &) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 =) @ c0)))))))) @ 218.64/29.85 (=))))))))) @ 218.64/29.85 ((('#C') @ ((('#B') @ ('#B') @ 218.64/29.85 ((('#B') @ ('#B') @ 218.64/29.85 ((('#B') @ (&) @ 218.64/29.85 ((('#C') @ (=) @ c0)))))))) @ 218.64/29.85 (=))))))))))) @ 218.64/29.85 '#sk1'))))))))), 218.64/29.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])). 218.64/29.85 thf(zip_derived_cl24, plain, 218.64/29.85 (![X2 : iS]: 218.64/29.85 (((!!) @ ((('#B') @ (!!) @ 218.64/29.85 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.85 ((('#B') @ ((('#B') @ (=>))) @ 218.64/29.85 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.85 ((('#S') @ ((('#B') @ ( 218.64/29.85 '#S') @ 218.64/29.85 ((('#B') @ ( 218.64/29.85 (('#B') @ (|))) @ 218.64/29.85 ((('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 ??))) @ 218.64/29.85 ((('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 ??))))) @ 218.64/29.85 ((('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ??))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ??))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ??))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ??))))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 &))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 (iS) = 218.64/29.85 (X2))))) @ 218.64/29.85 cP)))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 =))))) @ 218.64/29.85 cP)))))))))))))) @ 218.64/29.85 '#sk1')))))))))))))) @ 218.64/29.85 '#sk1')))))))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 =))))) @ 218.64/29.85 cP)))))))))))))))))))) @ 218.64/29.85 ((('#C') @ ((('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ((('#B') @ ( 218.64/29.85 &) @ 218.64/29.85 ((('#C') @ ( 218.64/29.85 =) @ c0)))))) @ 218.64/29.85 (((iS) = (X2))))))))) @ 218.64/29.85 ((('#B') @ ((('#B') @ (((&) @ (((X2) = 218.64/29.85 (c0))))))) @ 218.64/29.85 (=))))))))) @ 218.64/29.85 ('#sk1' @ X2)))))))), 218.64/29.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl18])). 218.64/29.85 thf(zip_derived_cl28, plain, 218.64/29.85 (![X2 : iS, X4 : iS]: 218.64/29.85 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 218.64/29.85 ((('#S') @ ((('#S') @ ((('#B') @ (|) @ 218.64/29.85 ((('#B') @ (??) @ 218.64/29.85 ((('#B') @ (( 218.64/29.85 ('#B') @ ( 218.64/29.85 ??))) @ 218.64/29.85 ((('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 (('#B') @ (??))))) @ 218.64/29.85 ((('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 ??))))))) @ 218.64/29.85 ((('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 ??))))))))) @ 218.64/29.85 ((('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 (('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ??))))))))))) @ 218.64/29.85 ((('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#S') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#S'))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#C') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B'))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 &))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 (iS) = 218.64/29.85 (X2))))) @ 218.64/29.85 cP)))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 ( 218.64/29.85 (iS) = 218.64/29.85 (X4))))) @ 218.64/29.85 cP)))))))))))) @ 218.64/29.85 '#sk1')))))))))))) @ 218.64/29.85 '#sk1')))))))))))))) @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#C') @ ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 ( 218.64/29.85 ('#B') @ ( 218.64/29.85 '#B') @ 218.64/29.85 ( 218.64/29.85 =))))) @ 218.64/29.85 cP)))))))))))))))))) @ 218.64/29.85 ((('#B') @ (((&) @ (((X4) = (c0))))) @ 218.64/29.85 (((iS) = (X2))))))) @ 218.64/29.85 ((('#B') @ (((&) @ (((X2) = (c0))))) @ 218.64/29.85 (((iS) = (X4))))))))) @ 218.64/29.86 ('#sk1' @ X2 @ X4)))))), 218.64/29.86 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 218.64/29.86 thf(zip_derived_cl32, plain, 218.64/29.86 (![X2 : iS, X4 : iS, X6 : iS]: 218.64/29.86 (((((((??) @ ((('#B') @ (??) @ 218.64/29.86 ((('#B') @ ((('#B') @ (??))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (??))))))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 ??))))))))) @ 218.64/29.86 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.86 ((('#B') @ ((('#B') @ ('#C'))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ( 218.64/29.86 (('#B') @ ('#C'))))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 '#S'))))))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 '#S'))))))))) @ 218.64/29.86 ((('#S') @ ((('#B') @ ( 218.64/29.86 '#C') @ 218.64/29.86 ((('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 '#S'))) @ 218.64/29.86 (( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S'))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 &))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 (iS) = 218.64/29.86 (X2))))) @ 218.64/29.86 cP)))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 (iS) = 218.64/29.86 (X4))))) @ 218.64/29.86 cP)))))))))))) @ 218.64/29.86 '#sk1')))))))))))) @ 218.64/29.86 '#sk1')))))))))))) @ 218.64/29.86 ((('#B') @ ((('#B') @ (((iS) = (X6))))) @ cP)))))))))))))))) | 218.64/29.86 (((((X4) = (c0))) & (((X2) = (X6))))) | 218.64/29.86 (((((X2) = (c0))) & (((X4) = (X6))))))) => 218.64/29.86 ('#sk1' @ X2 @ X4 @ X6)))), 218.64/29.86 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])). 218.64/29.86 thf(zip_derived_cl40, plain, 218.64/29.86 (![X2 : iS, X4 : iS, X6 : iS]: 218.64/29.86 (~ (((((??) @ ((('#B') @ (??) @ 218.64/29.86 ((('#B') @ ((('#B') @ (??))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (??))))))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 ??))))))))) @ 218.64/29.86 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.86 ((('#B') @ ((('#B') @ ('#C'))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ( 218.64/29.86 (('#B') @ ('#C'))))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 '#S'))))))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 '#S'))))))))) @ 218.64/29.86 ((('#S') @ ((('#B') @ ( 218.64/29.86 '#C') @ 218.64/29.86 ((('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 '#S'))) @ 218.64/29.86 (( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S'))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 &))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 (iS) = 218.64/29.86 (X2))))) @ 218.64/29.86 cP)))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 (iS) = 218.64/29.86 (X4))))) @ 218.64/29.86 cP)))))))))))) @ 218.64/29.86 '#sk1')))))))))))) @ 218.64/29.86 '#sk1')))))))))))) @ 218.64/29.86 ((('#B') @ ((('#B') @ (((iS) = (X6))))) @ cP)))))))))))))))) | 218.64/29.86 (((((X4) = (c0))) & (((X2) = (X6))))) | 218.64/29.86 (((((X2) = (c0))) & (((X4) = (X6))))))) 218.64/29.86 | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.86 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 218.64/29.86 thf(zip_derived_cl48, plain, 218.64/29.86 (![X2 : iS, X4 : iS, X6 : iS]: 218.64/29.86 (~ (((((X4) = (c0))) & (((X2) = (X6))))) | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.86 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl40])). 218.64/29.86 thf(zip_derived_cl54, plain, 218.64/29.86 (![X2 : iS, X4 : iS, X6 : iS]: 218.64/29.86 (~ (((X4) = (c0))) | ~ (((X2) = (X6))) | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.86 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl48])). 218.64/29.86 thf(zip_derived_cl60, plain, 218.64/29.86 (![X2 : iS, X4 : iS, X6 : iS]: 218.64/29.86 (((X4) != (c0)) | ((X2) != (X6)) | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.86 inference('simplify nested equalities', [status(thm)], [zip_derived_cl54])). 218.64/29.86 thf(zip_derived_cl7, plain, 218.64/29.86 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 218.64/29.86 ((('#B') @ (!!) @ 218.64/29.86 ((('#B') @ ((('#B') @ (!!))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 218.64/29.86 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.86 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 '#S'))))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 (('#B') @ ( 218.64/29.86 =>))))))) @ 218.64/29.86 ((('#C') @ ((('#B') @ ( 218.64/29.86 '#S') @ 218.64/29.86 ((('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S'))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S'))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 |))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ??))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ??))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ??))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ??))))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ??))))))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ??))))))))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S'))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S'))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S'))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S'))))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#S') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S'))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B'))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 &))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B') @ 218.64/29.86 ( 218.64/29.86 =))))) @ 218.64/29.86 cP)))))))))))))))))))))))))))) @ 218.64/29.86 ( 218.64/29.86 '#I'))))))))))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B') @ 218.64/29.86 ( 218.64/29.86 =))))) @ 218.64/29.86 cP)))))))))))))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B') @ 218.64/29.86 ( 218.64/29.86 =))))) @ 218.64/29.86 cP)))))))))))))))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 &))) @ 218.64/29.86 ( 218.64/29.86 =))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 =) @ c0)))))))))))) @ 218.64/29.86 ((('#C') @ ((('#B') @ ( 218.64/29.86 '#B') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 &) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 =) @ c0)))))))) @ 218.64/29.86 (=))))))))))))) @ 218.64/29.86 ('#I'))))))))))) @ 218.64/29.86 ((('#C') @ ((('#C') @ ((('#C') @ ('#I') @ x)) @ y)) @ y))))))), 218.64/29.86 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 218.64/29.86 thf(zip_derived_cl12, plain, 218.64/29.86 (![X2 : iS > iS > iS > $o]: 218.64/29.86 (((((!!) @ ((('#B') @ (!!) @ 218.64/29.86 ((('#B') @ ((('#B') @ (!!))) @ 218.64/29.86 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.86 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.86 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 218.64/29.86 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.86 ((('#B') @ ((('#B') @ ( 218.64/29.86 '#S'))) @ 218.64/29.86 ((('#S') @ ((('#B') @ ( 218.64/29.86 '#S') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#S'))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 |))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ??))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ??))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ??))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ??))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ??))))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ??))))))))))))))) @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#C') @ ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#B') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 '#C') @ 218.64/29.86 ( 218.64/29.86 ( 218.64/29.86 ('#B') @ ( 218.64/29.86 ( 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cP)))))))))))))))))))))) @ 218.64/29.87 ((('#C') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 '#B') @ 218.64/29.87 ((('#B') @ ( 218.64/29.87 '#C') @ 218.64/29.87 ((('#B') @ ( 218.64/29.87 (('#B') @ (&))) @ 218.64/29.87 (=))))))) @ 218.64/29.87 ((('#C') @ ( 218.64/29.87 =) @ c0)))))))))) @ 218.64/29.87 ((('#C') @ ((('#B') @ ('#B') @ 218.64/29.87 ((('#B') @ ('#B') @ 218.64/29.87 ((('#B') @ ( 218.64/29.87 &) @ 218.64/29.87 ((('#C') @ ( 218.64/29.87 =) @ c0)))))))) @ 218.64/29.87 (=))))))))))) @ 218.64/29.87 X2)))))))) => 218.64/29.87 (X2 @ x @ y @ y)))), 218.64/29.87 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 218.64/29.87 thf(zip_derived_cl17, plain, 218.64/29.87 (![X2 : iS > iS > iS > $o]: 218.64/29.87 (~ (((!!) @ ((('#B') @ (!!) @ 218.64/29.87 ((('#B') @ ((('#B') @ (!!))) @ 218.64/29.87 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.87 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.87 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 218.64/29.87 ((('#S') @ ((('#B') @ ('#S') @ 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218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B') @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B') @ 218.64/29.87 ( 218.64/29.87 =))))) @ 218.64/29.87 cP)))))))))))))))))))))) @ 218.64/29.87 ((('#C') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 '#B') @ 218.64/29.87 ((('#B') @ ( 218.64/29.87 '#C') @ 218.64/29.87 ((('#B') @ ( 218.64/29.87 (('#B') @ (&))) @ 218.64/29.87 (=))))))) @ 218.64/29.87 ((('#C') @ ( 218.64/29.87 =) @ c0)))))))))) @ 218.64/29.87 ((('#C') @ ((('#B') @ ('#B') @ 218.64/29.87 ((('#B') @ ('#B') @ 218.64/29.87 ((('#B') @ ( 218.64/29.87 &) @ 218.64/29.87 ((('#C') @ ( 218.64/29.87 =) @ c0)))))))) @ 218.64/29.87 (=))))))))))) @ 218.64/29.87 X2)))))))) 218.64/29.87 | (X2 @ x @ y @ y))), 218.64/29.87 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])). 218.64/29.87 thf(zip_derived_cl23, plain, 218.64/29.87 (![X2 : iS > iS > iS > $o]: 218.64/29.87 (~ (((!!) @ ((('#B') @ (!!) @ 218.64/29.87 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.87 ((('#B') @ ((('#B') @ (=>))) @ 218.64/29.87 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.87 ((('#S') @ ((('#B') @ ( 218.64/29.87 '#S') @ 218.64/29.87 ((('#B') @ ( 218.64/29.87 (('#B') @ (|))) @ 218.64/29.87 ((('#B') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 ??))) @ 218.64/29.87 ((('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ??))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ??))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ??))))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ??))))))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ??))))))))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#C') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C') @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C'))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#S'))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 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218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#S'))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#S'))))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#C') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#S') @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C'))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B'))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C'))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B'))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#S') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C') @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B'))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B'))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 &))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 (iS) = 218.64/29.87 ('#sk2' @ 218.64/29.87 X2))))) @ 218.64/29.87 cP)))))))))) @ 218.64/29.87 X2)))))))))))) @ 218.64/29.87 X2)))))))))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#C') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B') @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B') @ 218.64/29.87 ( 218.64/29.87 =))))) @ 218.64/29.87 cP)))))))))))))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#C') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B') @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B') @ 218.64/29.87 ( 218.64/29.87 =))))) @ 218.64/29.87 cP)))))))))))))))))))) @ 218.64/29.87 ((('#B') @ ((('#C') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 &) @ 218.64/29.87 (((iS) = 218.64/29.87 ('#sk2' @ 218.64/29.87 X2))))))) @ 218.64/29.87 ((('#C') @ (=) @ c0)))))))) @ 218.64/29.87 ((('#B') @ ((('#B') @ (((&) @ ( 218.64/29.87 (('#sk2' @ 218.64/29.87 X2) = (c0))))))) @ 218.64/29.87 (=))))))))) @ 218.64/29.87 (X2 @ ('#sk2' @ X2)))))))) 218.64/29.87 | (X2 @ x @ y @ y))), 218.64/29.87 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl17])). 218.64/29.87 thf(zip_derived_cl27, plain, 218.64/29.87 (![X2 : iS > iS > iS > $o]: 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218.64/29.87 &))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 (iS) = 218.64/29.87 ('#sk2' @ 218.64/29.87 X2))))) @ 218.64/29.87 cP)))))))))) @ 218.64/29.87 X2)))))))))))) @ 218.64/29.87 X2)))))))))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#C') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B') @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B') @ 218.64/29.87 ( 218.64/29.87 =))))) @ 218.64/29.87 cP)))))))))))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 (iS) = 218.64/29.87 ('#sk4' @ 218.64/29.87 X2))))) @ 218.64/29.87 cP)))))))))))))))))) @ 218.64/29.87 ((('#C') @ ((('#B') @ (&) @ 218.64/29.87 (((iS) = ('#sk2' @ 218.64/29.87 X2))))) @ 218.64/29.87 ((('#sk4' @ X2) = (c0))))))) @ 218.64/29.87 ((('#B') @ (((&) @ ((('#sk2' @ X2) = (c0))))) @ 218.64/29.87 (((iS) = ('#sk4' @ X2))))))))) @ 218.64/29.87 (X2 @ ('#sk2' @ X2) @ ('#sk4' @ X2)))))) 218.64/29.87 | (X2 @ x @ y @ y))), 218.64/29.87 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl23])). 218.64/29.87 thf(zip_derived_cl31, plain, 218.64/29.87 (![X2 : iS > iS > iS > $o]: 218.64/29.87 (~ (((((((??) @ ((('#B') @ (??) @ 218.64/29.87 ((('#B') @ ((('#B') @ (??))) @ 218.64/29.87 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 218.64/29.87 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (??))))))) @ 218.64/29.87 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 ??))))))))) @ 218.64/29.87 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.87 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.87 ((('#B') @ ((('#B') @ ( 218.64/29.87 (('#B') @ ('#S'))))) @ 218.64/29.87 ((('#B') @ ((('#B') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 '#C'))))))) @ 218.64/29.87 ((('#B') @ ((('#B') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 '#C'))))))))) @ 218.64/29.87 ((('#C') @ ((('#B') @ ( 218.64/29.87 '#C') @ 218.64/29.87 (( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C'))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C'))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#S'))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#S'))))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#C') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#S') @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C'))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B'))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C'))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B'))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#S') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C') @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B'))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B'))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 &))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 (iS) = 218.64/29.87 ('#sk2' @ 218.64/29.87 X2))))) @ 218.64/29.87 cP)))))))))) @ 218.64/29.87 X2)))))))))))) @ 218.64/29.87 X2)))))))))))) @ 218.64/29.87 ((('#B') @ (( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 (iS) = 218.64/29.87 ('#sk6' @ 218.64/29.87 X2))))) @ 218.64/29.87 cP)))))))))))))) @ 218.64/29.87 ((('#B') @ ((('#B') @ (((iS) = ('#sk4' @ 218.64/29.87 X2))))) @ 218.64/29.87 cP)))))))))))))))) | 218.64/29.87 ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))) | 218.64/29.87 ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))))) => 218.64/29.87 (X2 @ ('#sk2' @ X2) @ ('#sk4' @ X2) @ ('#sk6' @ X2)))) 218.64/29.87 | (X2 @ x @ y @ y))), 218.64/29.87 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])). 218.64/29.87 thf(zip_derived_cl38, plain, 218.64/29.87 (![X2 : iS > iS > iS > $o]: 218.64/29.87 ( (((((??) @ ((('#B') @ (??) @ 218.64/29.87 ((('#B') @ ((('#B') @ (??))) @ 218.64/29.87 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 218.64/29.87 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (??))))))) @ 218.64/29.87 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.87 (('#B') @ (??))))))))) @ 218.64/29.87 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.87 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.87 ((('#B') @ ((('#B') @ (( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#S'))))) @ 218.64/29.87 ((('#B') @ ((('#B') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 (('#B') @ ('#C'))))))) @ 218.64/29.87 ((('#B') @ ((('#B') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 '#C'))))))))) @ 218.64/29.87 ((('#C') @ ((('#B') @ ( 218.64/29.87 '#C') @ 218.64/29.87 ((('#B') @ ( 218.64/29.87 (('#B') @ ( 218.64/29.87 '#C'))) @ 218.64/29.87 ((('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C'))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#S'))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#S'))))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#C') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#S') @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C'))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B'))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#C'))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 ( 218.64/29.87 ('#B') @ ( 218.64/29.87 '#B'))))))) @ 218.64/29.87 ( 218.64/29.87 ( 218.64/29.88 ('#S') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#C') @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#B'))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#B'))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 &))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 (iS) = 218.64/29.88 ('#sk2' @ 218.64/29.88 X2))))) @ 218.64/29.88 cP)))))))))) @ 218.64/29.88 X2)))))))))))) @ 218.64/29.88 X2)))))))))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ( 218.64/29.88 ((iS) = 218.64/29.88 ('#sk6' @ 218.64/29.88 X2))))) @ 218.64/29.88 cP)))))))))))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ (((iS) = ('#sk4' @ X2))))) @ 218.64/29.88 cP)))))))))))))))) | 218.64/29.88 ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))) | 218.64/29.88 ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))))) 218.64/29.88 | (X2 @ x @ y @ y))), 218.64/29.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 218.64/29.88 thf(zip_derived_cl46, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( (((??) @ ((('#B') @ (??) @ 218.64/29.88 ((('#B') @ ((('#B') @ (??))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (??))))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.88 (('#B') @ (??))))))))) @ 218.64/29.88 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.88 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.88 '#S'))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ (( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#C'))))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 '#C'))))))))) @ 218.64/29.88 ((('#C') @ ((('#B') @ ( 218.64/29.88 '#C') @ 218.64/29.88 ((('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 '#C'))) @ 218.64/29.88 ((('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 '#C'))))) @ 218.64/29.88 ((('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#S'))))))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#S'))))))))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#C') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#S') @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#C'))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#B'))))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#C'))))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#B'))))))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#S') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#C') @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#B'))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#B'))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 &))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 (iS) = 218.64/29.88 ('#sk2' @ 218.64/29.88 X2))))) @ 218.64/29.88 cP)))))))))) @ 218.64/29.88 X2)))))))))))) @ 218.64/29.88 X2)))))))))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ( 218.64/29.88 ((iS) = 218.64/29.88 ('#sk6' @ 218.64/29.88 X2))))) @ 218.64/29.88 cP)))))))))))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ (((iS) = ('#sk4' @ X2))))) @ 218.64/29.88 cP)))))))))))))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | (X2 @ x @ y @ y))), 218.64/29.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl38])). 218.64/29.88 thf(zip_derived_cl52, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( (((??) @ ((('#B') @ (??) @ 218.64/29.88 ((('#B') @ ((('#B') @ (??))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (??))))))) @ 218.64/29.88 ((('#C') @ ((('#B') @ ('#S') @ 218.64/29.88 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.88 '#C'))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 '#C'))))))) @ 218.64/29.88 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.88 ((('#B') @ ( 218.64/29.88 (('#B') @ ('#C'))) @ 218.64/29.88 ((('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 '#S'))))) @ 218.64/29.88 ((('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 '#S'))))))) @ 218.64/29.88 ((('#S') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 '#C') @ 218.64/29.88 (( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#B'))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#C'))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#B'))))) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#C') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#B') @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#B') @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 &) @ 218.64/29.88 ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 (iS) = 218.64/29.88 ('#sk2' @ 218.64/29.88 X2))) @ 218.64/29.88 ( 218.64/29.88 cP @ 218.64/29.88 ( 218.64/29.88 '#sk7' @ 218.64/29.88 X2)))))))))) @ 218.64/29.88 ( 218.64/29.88 X2 @ 218.64/29.88 ( 218.64/29.88 '#sk7' @ 218.64/29.88 X2)))))))))))) @ 218.64/29.88 X2)))))))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ( 218.64/29.88 ((iS) = 218.64/29.88 ('#sk6' @ X2))))) @ 218.64/29.88 cP)))))))))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ (((iS) = ('#sk4' @ X2))))) @ 218.64/29.88 cP)))))))))))))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl46])). 218.64/29.88 thf(zip_derived_cl58, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( (((??) @ ((('#B') @ (??) @ 218.64/29.88 ((('#B') @ ((('#B') @ (??))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 218.64/29.88 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.88 ((('#B') @ ((('#B') @ ('#C'))) @ 218.64/29.88 ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.88 '#C'))))) @ 218.64/29.88 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.88 ((('#B') @ ((('#B') @ ( 218.64/29.88 '#S'))) @ 218.64/29.88 ((('#B') @ (( 218.64/29.88 ('#B') @ ( 218.64/29.88 ( 218.64/29.88 ('#B') @ ( 218.64/29.88 '#S'))))) @ 218.64/29.88 ((('#C') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 '#B') @ 218.64/29.88 ((('#B') @ ( 218.64/29.88 '#C') @ 218.64/29.88 ((('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 '#B'))) @ 218.64/29.88 ((('#B') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 ( 218.64/29.88 (&) @ ( 218.64/29.88 ( 218.64/29.88 ('#sk2' @ 218.64/29.88 X2) = 218.64/29.88 (cP @ 218.64/29.88 ( 218.64/29.88 '#sk7' @ 218.64/29.88 X2) @ 218.64/29.88 ( 218.64/29.88 '#sk8' @ 218.64/29.88 X2)))))))) @ 218.64/29.88 (X2 @ 218.64/29.88 ( 218.64/29.88 '#sk7' @ 218.64/29.88 X2)))))))))) @ 218.64/29.88 (X2 @ 218.64/29.88 ('#sk8' @ X2)))))))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ (((iS) = 218.64/29.88 ('#sk6' @ 218.64/29.88 X2))))) @ 218.64/29.88 cP)))))))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ (((iS) = ('#sk4' @ X2))))) @ 218.64/29.88 cP)))))))))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | (X2 @ x @ y @ y))), 218.64/29.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl52])). 218.64/29.88 thf(zip_derived_cl62, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( (((??) @ ((('#B') @ (??) @ 218.64/29.88 ((('#B') @ ((('#B') @ (??))) @ 218.64/29.88 ((('#S') @ ((('#B') @ ('#C') @ 218.64/29.88 ((('#B') @ ((('#B') @ ('#C'))) @ 218.64/29.88 ((('#C') @ ((('#B') @ ('#S') @ 218.64/29.88 ((('#B') @ ((('#B') @ ( 218.64/29.88 '#S'))) @ 218.64/29.88 ((('#B') @ ((('#C') @ ( 218.64/29.88 (('#B') @ ( 218.64/29.88 '#B') @ 218.64/29.88 ((('#B') @ ( 218.64/29.88 ( 218.64/29.88 (&) @ ( 218.64/29.88 ( 218.64/29.88 ('#sk2' @ 218.64/29.88 X2) = 218.64/29.88 (cP @ 218.64/29.88 ( 218.64/29.88 '#sk7' @ 218.64/29.88 X2) @ 218.64/29.88 ( 218.64/29.88 '#sk8' @ 218.64/29.88 X2)))))) @ 218.64/29.88 ( 218.64/29.88 X2 @ 218.64/29.88 ( 218.64/29.88 '#sk7' @ 218.64/29.88 X2) @ 218.64/29.88 ( 218.64/29.88 '#sk9' @ 218.64/29.88 X2)))))))) @ 218.64/29.88 (X2 @ ('#sk8' @ X2)))))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ (((iS) = 218.64/29.88 ('#sk6' @ X2))))) @ 218.64/29.88 cP)))))))) @ 218.64/29.88 ((('#B') @ (((iS) = ('#sk4' @ X2))) @ 218.64/29.88 (cP @ ('#sk9' @ X2)))))))))))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl58])). 218.64/29.88 thf(zip_derived_cl64, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( (((??) @ ((('#B') @ (??) @ 218.64/29.88 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.88 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.88 ((('#C') @ ((('#B') @ ( 218.64/29.88 '#B') @ 218.64/29.88 ((('#B') @ ( 218.64/29.88 ((&) @ ( 218.64/29.88 (('#sk2' @ 218.64/29.88 X2) = (cP @ 218.64/29.88 ('#sk7' @ X2) @ 218.64/29.88 ('#sk8' @ X2)))))) @ 218.64/29.88 (X2 @ 218.64/29.88 ('#sk7' @ X2) @ 218.64/29.88 ('#sk9' @ X2)))))) @ 218.64/29.88 (X2 @ ('#sk8' @ X2) @ 218.64/29.88 ('#sk10' @ X2)))))) @ 218.64/29.88 ((('#B') @ ((('#B') @ (((iS) = ('#sk6' @ 218.64/29.88 X2))))) @ 218.64/29.88 cP)))))) @ 218.64/29.88 ((('#sk4' @ X2) = (cP @ ('#sk9' @ X2) @ ('#sk10' @ X2)))))))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | (X2 @ x @ y @ y))), 218.64/29.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl62])). 218.64/29.88 thf(zip_derived_cl66, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( (((??) @ ((('#C') @ ((('#S') @ ((('#B') @ ((((('#sk2' @ X2) = (cP @ 218.64/29.88 ('#sk7' @ X2) @ 218.64/29.88 ('#sk8' @ X2)))) & 218.64/29.88 (X2 @ ('#sk7' @ X2) @ 218.64/29.88 ('#sk9' @ X2) @ 218.64/29.88 ('#sk11' @ X2)))) @ 218.64/29.88 (X2 @ ('#sk8' @ X2) @ 218.64/29.88 ('#sk10' @ X2)))) @ 218.64/29.88 ((('#B') @ (((iS) = ('#sk6' @ X2))) @ 218.64/29.88 (cP @ ('#sk11' @ X2)))))) @ 218.64/29.88 ((('#sk4' @ X2) = (cP @ ('#sk9' @ X2) @ ('#sk10' @ X2)))))))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl64])). 218.64/29.88 thf(zip_derived_cl68, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ((((('#sk2' @ X2) = (cP @ ('#sk7' @ X2) @ ('#sk8' @ X2)))) & 218.64/29.88 (X2 @ ('#sk7' @ X2) @ ('#sk9' @ X2) @ ('#sk11' @ X2)) & 218.64/29.88 (X2 @ ('#sk8' @ X2) @ ('#sk10' @ X2) @ ('#sk12' @ X2)) & 218.64/29.88 ((('#sk6' @ X2) = (cP @ ('#sk11' @ X2) @ ('#sk12' @ X2)))) & 218.64/29.88 ((('#sk4' @ X2) = (cP @ ('#sk9' @ X2) @ ('#sk10' @ X2)))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | (X2 @ x @ y @ y))), 218.64/29.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl66])). 218.64/29.88 thf(zip_derived_cl74, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ((('#sk4' @ X2) = (cP @ ('#sk9' @ X2) @ ('#sk10' @ X2)))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl68])). 218.64/29.88 thf(zip_derived_cl87, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ((('#sk4' @ X2) = (cP @ ('#sk9' @ X2) @ ('#sk10' @ X2))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 inference('simplify nested equalities', [status(thm)], [zip_derived_cl74])). 218.64/29.88 thf(zip_derived_cl72, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( (X2 @ ('#sk8' @ X2) @ ('#sk10' @ X2) @ ('#sk12' @ X2)) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl68])). 218.64/29.88 thf(zip_derived_cl81, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 (~ ('#form13' @ X2) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 define([status(thm)])). 218.64/29.88 thf(zip_derived_cl88, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ('#form13' @ X2) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | (('#sk4' @ X2) = (cP @ ('#sk9' @ X2) @ ('#sk10' @ X2))))), 218.64/29.88 inference('renaming', [status(thm)], [zip_derived_cl87, zip_derived_cl81])). 218.64/29.88 thf(zip_derived_cl105, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ((('#sk4' @ X2) = ('#sk6' @ X2))) 218.64/29.88 | (('#sk4' @ X2) = (cP @ ('#sk9' @ X2) @ ('#sk10' @ X2))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | ('#form13' @ X2))), 218.64/29.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl88])). 218.64/29.88 thf(zip_derived_cl111, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ((('#sk4' @ X2) = ('#sk6' @ X2)) 218.64/29.88 | (('#sk4' @ X2) = (cP @ ('#sk9' @ X2) @ ('#sk10' @ X2))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | ('#form13' @ X2))), 218.64/29.88 inference('simplify nested equalities', [status(thm)], 218.64/29.88 [zip_derived_cl105])). 218.64/29.88 thf(zip_derived_cl81, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 (~ ('#form13' @ X2) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 define([status(thm)])). 218.64/29.88 thf(zip_derived_cl82, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ((('#sk2' @ X2) = ('#sk6' @ X2))) | ~ ('#form13' @ X2))), 218.64/29.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl81])). 218.64/29.88 thf(zip_derived_cl100, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ((('#sk2' @ X2) = ('#sk6' @ X2)) | ~ ('#form13' @ X2))), 218.64/29.88 inference('simplify nested equalities', [status(thm)], [zip_derived_cl82])). 218.64/29.88 thf(zip_derived_cl71, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( (X2 @ ('#sk7' @ X2) @ ('#sk9' @ X2) @ ('#sk11' @ X2)) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl68])). 218.64/29.88 thf(zip_derived_cl79, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ((('#sk2' @ X2) = (c0))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | (X2 @ ('#sk7' @ X2) @ ('#sk9' @ X2) @ ('#sk11' @ X2)))), 218.64/29.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl71])). 218.64/29.88 thf(zip_derived_cl94, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ((('#sk2' @ X2) = (c0)) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | (X2 @ ('#sk7' @ X2) @ ('#sk9' @ X2) @ ('#sk11' @ X2)))), 218.64/29.88 inference('simplify nested equalities', [status(thm)], [zip_derived_cl79])). 218.64/29.88 thf(zip_derived_cl81, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 (~ ('#form13' @ X2) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 define([status(thm)])). 218.64/29.88 thf(zip_derived_cl95, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ('#form13' @ X2) 218.64/29.88 | (X2 @ ('#sk7' @ X2) @ ('#sk9' @ X2) @ ('#sk11' @ X2)) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | (('#sk2' @ X2) = (c0)))), 218.64/29.88 inference('renaming', [status(thm)], [zip_derived_cl94, zip_derived_cl81])). 218.64/29.88 thf(zip_derived_cl70, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ((('#sk2' @ X2) = (cP @ ('#sk7' @ X2) @ ('#sk8' @ X2)))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl68])). 218.64/29.88 thf(zip_derived_cl76, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ((('#sk2' @ X2) = (cP @ ('#sk7' @ X2) @ ('#sk8' @ X2))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 inference('simplify nested equalities', [status(thm)], [zip_derived_cl70])). 218.64/29.88 thf(zip_derived_cl77, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ((('#sk2' @ X2) = (c0))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | (('#sk2' @ X2) = (cP @ ('#sk7' @ X2) @ ('#sk8' @ X2))))), 218.64/29.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl76])). 218.64/29.88 thf(zip_derived_cl90, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ((('#sk2' @ X2) = (c0)) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | (('#sk2' @ X2) = (cP @ ('#sk7' @ X2) @ ('#sk8' @ X2))))), 218.64/29.88 inference('simplify nested equalities', [status(thm)], [zip_derived_cl77])). 218.64/29.88 thf(zip_derived_cl81, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 (~ ('#form13' @ X2) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 define([status(thm)])). 218.64/29.88 thf(zip_derived_cl91, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ('#form13' @ X2) 218.64/29.88 | (('#sk2' @ X2) = (cP @ ('#sk7' @ X2) @ ('#sk8' @ X2))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | (('#sk2' @ X2) = (c0)))), 218.64/29.88 inference('renaming', [status(thm)], [zip_derived_cl90, zip_derived_cl81])). 218.64/29.88 thf(zip_derived_cl78, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ((('#sk4' @ X2) = ('#sk6' @ X2))) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | (('#sk2' @ X2) = (cP @ ('#sk7' @ X2) @ ('#sk8' @ X2))))), 218.64/29.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl76])). 218.64/29.88 thf(zip_derived_cl92, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ((('#sk4' @ X2) = ('#sk6' @ X2)) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | (('#sk2' @ X2) = (cP @ ('#sk7' @ X2) @ ('#sk8' @ X2))))), 218.64/29.88 inference('simplify nested equalities', [status(thm)], [zip_derived_cl78])). 218.64/29.88 thf(zip_derived_cl81, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 (~ ('#form13' @ X2) 218.64/29.88 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.88 define([status(thm)])). 218.64/29.88 thf(zip_derived_cl93, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ('#form13' @ X2) 218.64/29.88 | (('#sk2' @ X2) = (cP @ ('#sk7' @ X2) @ ('#sk8' @ X2))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | (('#sk4' @ X2) = ('#sk6' @ X2)))), 218.64/29.88 inference('renaming', [status(thm)], [zip_derived_cl92, zip_derived_cl81])). 218.64/29.88 thf(zip_derived_cl4, plain, 218.64/29.88 ( (((!!) @ ((('#B') @ (!!) @ 218.64/29.88 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.88 ((('#B') @ ((('#B') @ (!=))) @ cP)))) @ 218.64/29.88 c0))))))), 218.64/29.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])). 218.64/29.88 thf(zip_derived_cl9, plain, 218.64/29.88 (![X2 : iS]: (((!!) @ ((('#C') @ ((('#B') @ (!=) @ (cP @ X2))) @ c0))))), 218.64/29.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 218.64/29.88 thf(zip_derived_cl14, plain, 218.64/29.88 (![X2 : iS, X4 : iS]: (((cP @ X2 @ X4) != (c0)))), 218.64/29.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 218.64/29.88 thf(zip_derived_cl20, plain, (![X2 : iS, X4 : iS]: ((cP @ X2 @ X4) != (c0))), 218.64/29.88 inference('simplify nested equalities', [status(thm)], [zip_derived_cl14])). 218.64/29.88 thf(zip_derived_cl104, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ( ((('#sk2' @ X2) = (c0))) 218.64/29.88 | (('#sk4' @ X2) = (cP @ ('#sk9' @ X2) @ ('#sk10' @ X2))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.88 | ('#form13' @ X2))), 218.64/29.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl88])). 218.64/29.88 thf(zip_derived_cl110, plain, 218.64/29.88 (![X2 : iS > iS > iS > $o]: 218.64/29.88 ((('#sk2' @ X2) = (c0)) 218.64/29.88 | (('#sk4' @ X2) = (cP @ ('#sk9' @ X2) @ ('#sk10' @ X2))) 218.64/29.88 | (X2 @ x @ y @ y) 218.64/29.89 | ('#form13' @ X2))), 218.64/29.89 inference('simplify nested equalities', [status(thm)], 218.64/29.89 [zip_derived_cl104])). 218.64/29.89 thf(zip_derived_cl73, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 ( ((('#sk6' @ X2) = (cP @ ('#sk11' @ X2) @ ('#sk12' @ X2)))) 218.64/29.89 | (X2 @ x @ y @ y) 218.64/29.89 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.89 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl68])). 218.64/29.89 thf(zip_derived_cl85, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 ((('#sk6' @ X2) = (cP @ ('#sk11' @ X2) @ ('#sk12' @ X2))) 218.64/29.89 | (X2 @ x @ y @ y) 218.64/29.89 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.89 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.89 inference('simplify nested equalities', [status(thm)], [zip_derived_cl73])). 218.64/29.89 thf(zip_derived_cl81, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 (~ ('#form13' @ X2) 218.64/29.89 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.89 define([status(thm)])). 218.64/29.89 thf(zip_derived_cl86, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 ( ('#form13' @ X2) 218.64/29.89 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.89 | (X2 @ x @ y @ y) 218.64/29.89 | (('#sk6' @ X2) = (cP @ ('#sk11' @ X2) @ ('#sk12' @ X2))))), 218.64/29.89 inference('renaming', [status(thm)], [zip_derived_cl85, zip_derived_cl81])). 218.64/29.89 thf(zip_derived_cl102, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 ( ((('#sk2' @ X2) = (c0))) 218.64/29.89 | (('#sk6' @ X2) = (cP @ ('#sk11' @ X2) @ ('#sk12' @ X2))) 218.64/29.89 | (X2 @ x @ y @ y) 218.64/29.89 | ('#form13' @ X2))), 218.64/29.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl86])). 218.64/29.89 thf(zip_derived_cl108, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 ((('#sk2' @ X2) = (c0)) 218.64/29.89 | (('#sk6' @ X2) = (cP @ ('#sk11' @ X2) @ ('#sk12' @ X2))) 218.64/29.89 | (X2 @ x @ y @ y) 218.64/29.89 | ('#form13' @ X2))), 218.64/29.89 inference('simplify nested equalities', [status(thm)], 218.64/29.89 [zip_derived_cl102])). 218.64/29.89 thf(zip_derived_cl49, plain, 218.64/29.89 (![X2 : iS, X4 : iS, X6 : iS]: 218.64/29.89 (~ (((((X2) = (c0))) & (((X4) = (X6))))) | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.89 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl40])). 218.64/29.89 thf(zip_derived_cl55, plain, 218.64/29.89 (![X2 : iS, X4 : iS, X6 : iS]: 218.64/29.89 (~ (((X2) = (c0))) | ~ (((X4) = (X6))) | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl49])). 218.64/29.89 thf(zip_derived_cl61, plain, 218.64/29.89 (![X2 : iS, X4 : iS, X6 : iS]: 218.64/29.89 (((X2) != (c0)) | ((X4) != (X6)) | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.89 inference('simplify nested equalities', [status(thm)], [zip_derived_cl55])). 218.64/29.89 thf(zip_derived_cl72, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 ( (X2 @ ('#sk8' @ X2) @ ('#sk10' @ X2) @ ('#sk12' @ X2)) 218.64/29.89 | (X2 @ x @ y @ y) 218.64/29.89 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.89 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl68])). 218.64/29.89 thf(zip_derived_cl81, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 (~ ('#form13' @ X2) 218.64/29.89 | ((((('#sk2' @ X2) = ('#sk6' @ X2))) & ((('#sk4' @ X2) = (c0))))))), 218.64/29.89 define([status(thm)])). 218.64/29.89 thf(zip_derived_cl84, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 ( ('#form13' @ X2) 218.64/29.89 | ((((('#sk2' @ X2) = (c0))) & ((('#sk4' @ X2) = ('#sk6' @ X2))))) 218.64/29.89 | (X2 @ x @ y @ y) 218.64/29.89 | (X2 @ ('#sk8' @ X2) @ ('#sk10' @ X2) @ ('#sk12' @ X2)))), 218.64/29.89 inference('renaming', [status(thm)], [zip_derived_cl72, zip_derived_cl81])). 218.64/29.89 thf(zip_derived_cl99, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 ( ((('#sk4' @ X2) = ('#sk6' @ X2))) 218.64/29.89 | (X2 @ ('#sk8' @ X2) @ ('#sk10' @ X2) @ ('#sk12' @ X2)) 218.64/29.89 | (X2 @ x @ y @ y) 218.64/29.89 | ('#form13' @ X2))), 218.64/29.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl84])). 218.64/29.89 thf(zip_derived_cl107, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 ((('#sk4' @ X2) = ('#sk6' @ X2)) 218.64/29.89 | (X2 @ ('#sk8' @ X2) @ ('#sk10' @ X2) @ ('#sk12' @ X2)) 218.64/29.89 | (X2 @ x @ y @ y) 218.64/29.89 | ('#form13' @ X2))), 218.64/29.89 inference('simplify nested equalities', [status(thm)], [zip_derived_cl99])). 218.64/29.89 thf(zip_derived_cl47, plain, 218.64/29.89 (![X2 : iS, X4 : iS, X6 : iS]: 218.64/29.89 (~ (((??) @ ((('#B') @ (??) @ 218.64/29.89 ((('#B') @ ((('#B') @ (??))) @ 218.64/29.89 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 218.64/29.89 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (??))))))) @ 218.64/29.89 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.89 (('#B') @ (??))))))))) @ 218.64/29.89 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.89 ((('#B') @ ((('#B') @ ('#C'))) @ 218.64/29.89 ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.89 '#C'))))) @ 218.64/29.89 ((('#B') @ ((('#B') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 (('#B') @ ('#S'))))))) @ 218.64/29.89 ((('#B') @ ((('#B') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 '#S'))))))))) @ 218.64/29.89 ((('#S') @ ((('#B') @ ( 218.64/29.89 '#C') @ 218.64/29.89 ((('#B') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 '#S'))) @ 218.64/29.89 ((('#B') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#C'))))) @ 218.64/29.89 (( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#B'))))))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#C'))))))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#C') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#S') @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#C'))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#S'))))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#B'))))))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#C') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#C') @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#B'))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#B'))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 &))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 (iS) = 218.64/29.89 (X2))))) @ 218.64/29.89 cP)))))))))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 (iS) = 218.64/29.89 (X4))))) @ 218.64/29.89 cP)))))))))))) @ 218.64/29.89 '#sk1')))))))))))) @ 218.64/29.89 '#sk1')))))))))))) @ 218.64/29.89 ((('#B') @ ((('#B') @ (((iS) = (X6))))) @ cP)))))))))))))))) 218.64/29.89 | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.89 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl40])). 218.64/29.89 thf(zip_derived_cl53, plain, 218.64/29.89 (![X2 : iS, X4 : iS, X6 : iS, X8 : iS]: 218.64/29.89 (~ (((??) @ ((('#B') @ (??) @ 218.64/29.89 ((('#B') @ ((('#B') @ (??))) @ 218.64/29.89 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 218.64/29.89 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (??))))))) @ 218.64/29.89 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.89 ((('#B') @ ((('#B') @ ('#C'))) @ 218.64/29.89 ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.89 '#S'))))) @ 218.64/29.89 ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#S'))))))) @ 218.64/29.89 ((('#C') @ ((('#B') @ ( 218.64/29.89 '#S') @ 218.64/29.89 ((('#B') @ ( 218.64/29.89 (('#B') @ ('#C'))) @ 218.64/29.89 ((('#B') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 '#B'))))) @ 218.64/29.89 ((('#B') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 '#C'))))) @ 218.64/29.89 ((('#S') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 '#C') @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#S'))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#B'))))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#C') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#B') @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 '#B') @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 &) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 (iS) = 218.64/29.89 (X2))) @ 218.64/29.89 ( 218.64/29.89 cP @ X8))))))))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 (iS) = 218.64/29.89 (X4))))) @ 218.64/29.89 cP)))))))))) @ 218.64/29.89 '#sk1')))))))))) @ 218.64/29.89 ('#sk1' @ X8))))))))))) @ 218.64/29.89 ((('#B') @ ((('#B') @ (((iS) = (X6))))) @ cP)))))))))))))) 218.64/29.89 | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl47])). 218.64/29.89 thf(zip_derived_cl59, plain, 218.64/29.89 (![X2 : iS, X4 : iS, X6 : iS, X8 : iS, X10 : iS]: 218.64/29.89 (~ (((??) @ ((('#B') @ (??) @ 218.64/29.89 ((('#B') @ ((('#B') @ (??))) @ 218.64/29.89 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 218.64/29.89 ((('#C') @ ((('#B') @ ('#C') @ 218.64/29.89 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.89 ((('#B') @ ((('#B') @ ((('#B') @ ( 218.64/29.89 '#S'))))) @ 218.64/29.89 ((('#S') @ ((('#B') @ ('#C') @ 218.64/29.89 ((('#B') @ ((('#B') @ ( 218.64/29.89 '#B'))) @ 218.64/29.89 ((('#B') @ ( 218.64/29.89 (('#B') @ ('#C'))) @ 218.64/29.89 ((('#C') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 '#S') @ 218.64/29.89 ((('#B') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 '#B'))) @ 218.64/29.89 ((('#B') @ ( 218.64/29.89 (('#B') @ ( 218.64/29.89 ((&) @ ( 218.64/29.89 ( 218.64/29.89 (X2) = 218.64/29.89 (cP @ 218.64/29.89 X8 @ X10))))))) @ 218.64/29.89 ((('#B') @ ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 (iS) = 218.64/29.89 (X4))))) @ 218.64/29.89 cP)))))))) @ 218.64/29.89 ('#sk1' @ X10))))))))) @ 218.64/29.89 ('#sk1' @ X8))))))))) @ 218.64/29.89 ((('#B') @ ((('#B') @ (((iS) = (X6))))) @ cP)))))))))))) 218.64/29.89 | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl53])). 218.64/29.89 thf(zip_derived_cl63, plain, 218.64/29.89 (![X2 : iS, X4 : iS, X6 : iS, X8 : iS, X10 : iS, X12 : iS]: 218.64/29.89 (~ (((??) @ ((('#B') @ (??) @ 218.64/29.89 ((('#B') @ ((('#B') @ (??))) @ 218.64/29.89 ((('#C') @ ((('#B') @ ('#S') @ 218.64/29.89 ((('#B') @ ((('#B') @ ('#S'))) @ 218.64/29.89 ((('#C') @ ((('#B') @ ('#B') @ 218.64/29.89 ((('#B') @ ('#C') @ 218.64/29.89 ((('#S') @ ((('#B') @ ( 218.64/29.89 '#B') @ 218.64/29.89 ((('#B') @ ( 218.64/29.89 ( 218.64/29.89 (&) @ ( 218.64/29.89 ( 218.64/29.89 (X2) = 218.64/29.89 (cP @ 218.64/29.89 X8 @ X10))))) @ 218.64/29.89 ( 218.64/29.89 ( 218.64/29.89 ('#B') @ ( 218.64/29.89 ( 218.64/29.89 (iS) = 218.64/29.89 (X4))) @ 218.64/29.89 ( 218.64/29.89 cP @ X12))))))) @ 218.64/29.89 ('#sk1' @ X10))))))) @ 218.64/29.89 ('#sk1' @ X8 @ X12))))))) @ 218.64/29.89 ((('#B') @ ((('#B') @ (((iS) = (X6))))) @ cP)))))))))) 218.64/29.89 | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl59])). 218.64/29.89 thf(zip_derived_cl65, plain, 218.64/29.89 (![X2 : iS, X4 : iS, X6 : iS, X8 : iS, X10 : iS, X12 : iS, X14 : iS]: 218.64/29.89 (~ (((??) @ ((('#B') @ (??) @ 218.64/29.89 ((('#S') @ ((('#B') @ ('#S') @ 218.64/29.89 ((('#B') @ ((('#C') @ ((('#B') @ (( 218.64/29.89 (( 218.64/29.89 (X2) = 218.64/29.89 (cP @ 218.64/29.89 X8 @ X10))) & 218.64/29.89 (( 218.64/29.89 (X4) = 218.64/29.89 (cP @ 218.64/29.89 X12 @ 218.64/29.89 X14))))) @ 218.64/29.89 ('#sk1' @ X10 @ X14))))) @ 218.64/29.89 ('#sk1' @ X8 @ X12))))) @ 218.64/29.89 ((('#B') @ ((('#B') @ (((iS) = (X6))))) @ cP)))))))) 218.64/29.89 | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])). 218.64/29.89 thf(zip_derived_cl67, plain, 218.64/29.89 (![X2 : iS, X4 : iS, X6 : iS, X8 : iS, X10 : iS, X12 : iS, X14 : iS, 218.64/29.89 X16 : iS]: 218.64/29.89 (~ (((??) @ ((('#S') @ ((('#C') @ ((('#B') @ (((((X2) = (cP @ X8 @ 218.64/29.89 X10))) & 218.64/29.89 (((X4) = (cP @ X12 @ 218.64/29.89 X14))))) @ 218.64/29.89 ('#sk1' @ X10 @ X14))) @ 218.64/29.89 ('#sk1' @ X8 @ X12 @ X16))) @ 218.64/29.89 ((('#B') @ (((iS) = (X6))) @ (cP @ X16))))))) 218.64/29.89 | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl65])). 218.64/29.89 thf(zip_derived_cl69, plain, 218.64/29.89 (![X2 : iS, X4 : iS, X6 : iS, X8 : iS, X10 : iS, X12 : iS, X14 : iS, 218.64/29.89 X16 : iS, X18 : iS]: 218.64/29.89 (~ (((((X2) = (cP @ X8 @ X10))) & (((X4) = (cP @ X12 @ X14))) & 218.64/29.89 ('#sk1' @ X10 @ X14 @ X18) & ('#sk1' @ X8 @ X12 @ X16) & 218.64/29.89 (((X6) = (cP @ X16 @ X18))))) 218.64/29.89 | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.89 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl67])). 218.64/29.89 thf(zip_derived_cl75, plain, 218.64/29.89 (![X2 : iS, X4 : iS, X6 : iS, X8 : iS, X10 : iS, X12 : iS, X14 : iS, 218.64/29.89 X16 : iS, X18 : iS]: 218.64/29.89 (~ (((X2) = (cP @ X8 @ X10))) 218.64/29.89 | ~ (((X4) = (cP @ X12 @ X14))) 218.64/29.89 | ~ ('#sk1' @ X10 @ X14 @ X18) 218.64/29.89 | ~ ('#sk1' @ X8 @ X12 @ X16) 218.64/29.89 | ~ (((X6) = (cP @ X16 @ X18))) 218.64/29.89 | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl69])). 218.64/29.89 thf(zip_derived_cl89, plain, 218.64/29.89 (![X2 : iS, X4 : iS, X6 : iS, X8 : iS, X10 : iS, X12 : iS, X14 : iS, 218.64/29.89 X16 : iS, X18 : iS]: 218.64/29.89 (((X2) != (cP @ X8 @ X10)) 218.64/29.89 | ((X4) != (cP @ X12 @ X14)) 218.64/29.89 | ~ ('#sk1' @ X10 @ X14 @ X18) 218.64/29.89 | ~ ('#sk1' @ X8 @ X12 @ X16) 218.64/29.89 | ((X6) != (cP @ X16 @ X18)) 218.64/29.89 | ('#sk1' @ X2 @ X4 @ X6))), 218.64/29.89 inference('simplify nested equalities', [status(thm)], [zip_derived_cl75])). 218.64/29.89 thf(zip_derived_cl98, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 ( ((('#sk2' @ X2) = (c0))) 218.64/29.89 | (X2 @ ('#sk8' @ X2) @ ('#sk10' @ X2) @ ('#sk12' @ X2)) 218.64/29.89 | (X2 @ x @ y @ y) 218.64/29.89 | ('#form13' @ X2))), 218.64/29.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl84])). 218.64/29.89 thf(zip_derived_cl106, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 ((('#sk2' @ X2) = (c0)) 218.64/29.89 | (X2 @ ('#sk8' @ X2) @ ('#sk10' @ X2) @ ('#sk12' @ X2)) 218.64/29.89 | (X2 @ x @ y @ y) 218.64/29.89 | ('#form13' @ X2))), 218.64/29.89 inference('simplify nested equalities', [status(thm)], [zip_derived_cl98])). 218.64/29.89 thf(zip_derived_cl39, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 (~ (X2 @ ('#sk2' @ X2) @ ('#sk4' @ X2) @ ('#sk6' @ X2)) 218.64/29.89 | (X2 @ x @ y @ y))), 218.64/29.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 218.64/29.89 thf(zip_derived_cl83, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: 218.64/29.89 ( ((('#sk4' @ X2) = (c0))) | ~ ('#form13' @ X2))), 218.64/29.89 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl81])). 218.64/29.89 thf(zip_derived_cl101, plain, 218.64/29.89 (![X2 : iS > iS > iS > $o]: ((('#sk4' @ X2) = (c0)) | ~ ('#form13' @ X2))), 218.64/29.89 inference('simplify nested equalities', [status(thm)], [zip_derived_cl83])). 218.64/29.89 thf(zip_derived_cl6649, plain, ($false), 218.64/29.89 inference('eprover', [status(thm)], 218.64/29.89 [zip_derived_cl43, zip_derived_cl19, zip_derived_cl57, 218.64/29.89 zip_derived_cl56, zip_derived_cl60, zip_derived_cl111, 218.64/29.89 zip_derived_cl100, zip_derived_cl95, zip_derived_cl91, 218.64/29.89 zip_derived_cl93, zip_derived_cl20, zip_derived_cl110, 218.64/29.89 zip_derived_cl108, zip_derived_cl61, zip_derived_cl107, 218.64/29.89 zip_derived_cl89, zip_derived_cl106, zip_derived_cl39, 218.64/29.89 zip_derived_cl101])). 218.64/29.89 218.64/29.89 % SZS output end Refutation 218.64/29.89 218.64/29.89 218.64/29.89 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 218.64/29.89 % Terminating... 104.72/29.97 % Runner terminated. 30.18/30.03 % Zipperpin 1.5 exiting 30.18/30.06 EOF