0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.r5NUsv1AZZ true 0.12/0.37 % Computer : n026.cluster.edu 0.12/0.37 % Model : x86_64 x86_64 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.37 % Memory : 8046.5625MB 0.12/0.37 % OS : Linux 6.8.0-71-generic 0.12/0.37 % CPULimit : 1440 0.12/0.37 % WCLimit : 180 0.12/0.37 % DateTime : Mon Jul 27 14:52:04 UTC 2026 0.12/0.37 % CPUTime : 0.12/0.37 % Running portfolio for 1440 s 0.12/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.38 % Number of cores: 8 0.12/0.38 % Python version: Python 3.12.3 0.12/0.38 % Running in HO mode 0.38/0.61 % Total configuration time : 828 0.38/0.61 % Estimated wc time : 1656 0.38/0.61 % Estimated cpu time (8 cpus) : 207.0 0.44/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.44/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.44/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.45/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.45/0.81 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.45/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.45/0.89 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.45/0.89 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 94.74/12.71 % Solved by lams/40_b.comb.sh. 94.74/12.71 % done 358 iterations in 11.757s 94.74/12.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 94.74/12.71 % SZS output start Refutation 94.74/12.71 thf(a_type, type, a: $tType). 94.74/12.71 thf('#sk4_type', type, '#sk4': a > a > $o). 94.74/12.71 thf('#sk5_type', type, '#sk5': (a > $o) > a). 94.74/12.71 thf('#sk2_type', type, '#sk2': (a > $o) > $o). 94.74/12.71 thf('#sk3_type', type, '#sk3': a > a > $o). 94.74/12.71 thf('#sk7_type', type, '#sk7': a > a > a > $o). 94.74/12.71 thf('#sk1_type', type, '#sk1': (a > $o) > $o). 94.74/12.71 thf('#sk6_type', type, '#sk6': a > a > a > $o). 94.74/12.71 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 94.74/12.71 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 94.74/12.71 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 94.74/12.71 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 94.74/12.71 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 94.74/12.71 thf(cTHM266_LEMMA_pme, conjecture, 94.74/12.71 (![T:( ( a > $o ) > $o ),U:( ( a > $o ) > $o )]: 94.74/12.71 ( ( ( ( T ) != ( U ) ) & 94.74/12.71 ( ![Xx:a]: 94.74/12.71 ( ?[Xp:( a > $o )]: 94.74/12.71 ( ( U @ Xp ) & 94.74/12.71 ( ![Xq:( a > $o )]: 94.74/12.71 ( ( ( Xq @ Xx ) & ( U @ Xq ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 94.74/12.71 ( Xp @ Xx ) ) ) ) & 94.74/12.71 ( ![Xp:( a > $o )]: ( ( U @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 94.74/12.71 ( ![Xx:a]: 94.74/12.71 ( ?[Xp:( a > $o )]: 94.74/12.71 ( ( T @ Xp ) & 94.74/12.71 ( ![Xq:( a > $o )]: 94.74/12.71 ( ( ( Xq @ Xx ) & ( T @ Xq ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 94.74/12.71 ( Xp @ Xx ) ) ) ) & 94.74/12.71 ( ![Xp:( a > $o )]: ( ( T @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) ) => 94.74/12.71 ( ?[Xx:a,Xy:a]: 94.74/12.71 ( ( ( ![Xq:( a > $o )]: 94.74/12.71 ( ( U @ Xq ) => ( ( ~( Xq @ Xx ) ) | ( ~( Xq @ Xy ) ) ) ) ) & 94.74/12.71 ( ?[Xs:( a > $o )]: ( ( T @ Xs ) & ( Xs @ Xx ) & ( Xs @ Xy ) ) ) ) | 94.74/12.71 ( ( ![Xq:( a > $o )]: 94.74/12.71 ( ( T @ Xq ) => ( ( ~( Xq @ Xx ) ) | ( ~( Xq @ Xy ) ) ) ) ) & 94.74/12.71 ( ?[Xs:( a > $o )]: ( ( Xs @ Xy ) & ( Xs @ Xx ) & ( U @ Xs ) ) ) ) ) ) ))). 94.74/12.71 thf(zf_stmt_0, negated_conjecture, 94.74/12.71 (~( ![T:( ( a > $o ) > $o ),U:( ( a > $o ) > $o )]: 94.74/12.71 ( ( ( ( T ) != ( U ) ) & 94.74/12.71 ( ![Xx:a]: 94.74/12.71 ( ?[Xp:( a > $o )]: 94.74/12.71 ( ( U @ Xp ) & 94.74/12.71 ( ![Xq:( a > $o )]: 94.74/12.71 ( ( ( Xq @ Xx ) & ( U @ Xq ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 94.74/12.71 ( Xp @ Xx ) ) ) ) & 94.74/12.71 ( ![Xp:( a > $o )]: ( ( U @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 94.74/12.71 ( ![Xx:a]: 94.74/12.71 ( ?[Xp:( a > $o )]: 94.74/12.71 ( ( T @ Xp ) & 94.74/12.71 ( ![Xq:( a > $o )]: 94.74/12.71 ( ( ( Xq @ Xx ) & ( T @ Xq ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 94.74/12.71 ( Xp @ Xx ) ) ) ) & 94.74/12.71 ( ![Xp:( a > $o )]: ( ( T @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) ) => 94.74/12.71 ( ?[Xx:a,Xy:a]: 94.74/12.71 ( ( ( ![Xq:( a > $o )]: 94.74/12.71 ( ( U @ Xq ) => ( ( ~( Xq @ Xx ) ) | ( ~( Xq @ Xy ) ) ) ) ) & 94.74/12.71 ( ?[Xs:( a > $o )]: ( ( T @ Xs ) & ( Xs @ Xx ) & ( Xs @ Xy ) ) ) ) | 94.74/12.71 ( ( ![Xq:( a > $o )]: 94.74/12.71 ( ( T @ Xq ) => ( ( ~( Xq @ Xx ) ) | ( ~( Xq @ Xy ) ) ) ) ) & 94.74/12.71 ( ?[Xs:( a > $o )]: ( ( Xs @ Xy ) & ( Xs @ Xx ) & ( U @ Xs ) ) ) ) ) ) ) )), 94.74/12.71 inference('cnf.neg', [status(esa)], [cTHM266_LEMMA_pme])). 94.74/12.71 thf(zip_derived_cl0, plain, 94.74/12.71 (~ (((!!) @ (^[Y0 : (a > $o) > $o]: 94.74/12.71 (((!!) @ (^[Y1 : (a > $o) > $o]: 94.74/12.71 (((((((Y0) != (Y1))) & 94.74/12.71 (((!!) @ (^[Y2 : a]: 94.74/12.71 (((??) @ (^[Y3 : a > $o]: 94.74/12.71 (((Y1 @ Y3) & 94.74/12.71 (((!!) @ ( 94.74/12.71 ^[Y4 : a > $o]: 94.74/12.71 (((( 94.74/12.71 (Y4 @ 94.74/12.71 Y2) & 94.74/12.71 (Y1 @ Y4))) => 94.74/12.71 (( 94.74/12.71 (Y4) = 94.74/12.71 (Y3)))))))) & 94.74/12.71 (Y3 @ Y2))))))))) & 94.74/12.71 (((!!) @ (^[Y2 : a > $o]: 94.74/12.71 (((Y1 @ Y2) => 94.74/12.71 (((??) @ (^[Y3 : a]: 94.74/12.71 (Y2 @ Y3))))))))) & 94.74/12.71 (((!!) @ (^[Y2 : a]: 94.74/12.71 (((??) @ (^[Y3 : a > $o]: 94.74/12.71 (((Y0 @ Y3) & 94.74/12.71 (((!!) @ ( 94.74/12.71 ^[Y4 : a > $o]: 94.74/12.71 (((( 94.74/12.71 (Y4 @ 94.74/12.71 Y2) & 94.74/12.71 (Y0 @ Y4))) => 94.74/12.71 (( 94.74/12.71 (Y4) = 94.74/12.71 (Y3)))))))) & 94.74/12.71 (Y3 @ Y2))))))))) & 94.74/12.71 (((!!) @ (^[Y2 : a > $o]: 94.74/12.71 (((Y0 @ Y2) => 94.74/12.71 (((??) @ (^[Y3 : a]: 94.74/12.71 (Y2 @ Y3))))))))))) => 94.74/12.71 (((??) @ (^[Y2 : a]: 94.74/12.71 (((??) @ (^[Y3 : a]: 94.74/12.71 (((((((!!) @ ( 94.74/12.71 ^[Y4 : a > $o]: 94.74/12.71 (((Y1 @ 94.74/12.71 Y4) => 94.74/12.71 (( 94.74/12.71 (( 94.74/12.71 (~) @ ( 94.74/12.71 Y4 @ Y2))) | 94.74/12.71 (( 94.74/12.71 (~) @ ( 94.74/12.71 Y4 @ Y3)))))))))) & 94.74/12.71 (((??) @ ( 94.74/12.71 ^[Y4 : a > $o]: 94.74/12.71 (((Y0 @ Y4) & 94.74/12.71 (Y4 @ Y2) & 94.74/12.71 (Y4 @ Y3)))))))) | 94.74/12.71 (((((!!) @ ( 94.74/12.71 ^[Y4 : a > $o]: 94.74/12.71 (((Y0 @ 94.74/12.71 Y4) => 94.74/12.71 (( 94.74/12.71 (( 94.74/12.71 (~) @ ( 94.74/12.71 Y4 @ Y2))) | 94.74/12.71 (( 94.74/12.71 (~) @ ( 94.74/12.71 Y4 @ Y3)))))))))) & 94.74/12.71 (((??) @ ( 94.74/12.71 ^[Y4 : a > $o]: 94.74/12.71 (((Y4 @ Y3) & 94.74/12.71 (Y4 @ Y2) & 94.74/12.71 (Y1 @ Y4))))))))))))))))))))))))), 94.74/12.71 inference('cnf', [status(esa)], [zf_stmt_0])). 94.74/12.71 thf(zip_derived_cl1, plain, 94.74/12.71 (~ (((!!) @ ((('#B') @ (!!) @ 94.74/12.71 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.71 ((('#B') @ ((('#B') @ (=>))) @ 94.74/12.71 ((('#S') @ ((('#B') @ ('#C') @ 94.74/12.71 ((('#S') @ ((('#B') @ ( 94.74/12.71 '#C') @ 94.74/12.71 ((('#C') @ ( 94.74/12.71 (('#B') @ ( 94.74/12.71 '#S') @ 94.74/12.71 ((('#C') @ ( 94.74/12.71 (('#B') @ ( 94.74/12.71 '#S') @ 94.74/12.71 ((('#B') @ ( 94.74/12.71 (('#B') @ ( 94.74/12.71 &))) @ 94.74/12.71 (!=))))) @ 94.74/12.71 ((('#B') @ ( 94.74/12.71 !!) @ 94.74/12.71 ((('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ??))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#C') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#S') @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#S'))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#S') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#B') @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#S') @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 &))))))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 !!))))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#C') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#C') @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#B'))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#S'))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 =>))))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#C') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#S') @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 &))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#C') @ ( 94.74/12.71 '#I'))))))))))))))))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#C') @ ( 94.74/12.71 =))))))))))))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#C') @ ( 94.74/12.71 '#I'))))))))))))) @ 94.74/12.71 ((('#B') @ ( 94.74/12.71 !!) @ 94.74/12.71 ((('#C') @ ( 94.74/12.71 (('#B') @ ( 94.74/12.71 '#S') @ 94.74/12.71 ((('#B') @ ( 94.74/12.71 =>))))) @ 94.74/12.71 (??))))))))) @ 94.74/12.71 ((('#B') @ (!!) @ 94.74/12.71 ((('#B') @ ((('#B') @ (??))) @ 94.74/12.71 ((('#C') @ ((('#B') @ ( 94.74/12.71 '#S') @ 94.74/12.71 ((('#B') @ ( 94.74/12.71 (('#B') @ ( 94.74/12.71 '#S'))) @ 94.74/12.71 (( 94.74/12.71 ('#S') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#B') @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#S') @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 &))))))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 !!))))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#C') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#C') @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#B'))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#S'))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 =>))))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#C') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#S') @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 &))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#C') @ ( 94.74/12.71 '#I'))))))))))))))))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#C') @ ( 94.74/12.71 =))))))))))))) @ 94.74/12.71 ((('#C') @ ('#I'))))))))))))) @ 94.74/12.71 ((('#B') @ (!!) @ 94.74/12.71 ((('#C') @ ((('#B') @ ('#S') @ 94.74/12.71 ((('#B') @ (=>))))) @ 94.74/12.71 (??))))))))))) @ 94.74/12.71 ((('#B') @ ((('#B') @ (??))) @ 94.74/12.71 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 94.74/12.71 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.71 ((('#B') @ ((('#B') @ ('#S'))) @ 94.74/12.71 ((('#B') @ ((('#B') @ ((('#B') @ ( 94.74/12.71 '#S'))))) @ 94.74/12.71 ((('#B') @ ((('#B') @ ((('#B') @ ( 94.74/12.71 (('#B') @ ( 94.74/12.71 |))))))) @ 94.74/12.71 ((('#B') @ ((('#C') @ ((('#B') @ ( 94.74/12.71 '#S') @ 94.74/12.71 (( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#S'))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 &))))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 !!))))) @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#C') @ ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#B') @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#B') @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 '#S') @ 94.74/12.71 ( 94.74/12.71 ( 94.74/12.71 ('#B') @ ( 94.74/12.71 =>))))))))) @ 94.74/12.71 ( 94.74/12.72 ( 94.74/12.72 ('#C') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 '#B') @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 '#S') @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 |))) @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ~))) @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#C') @ ( 94.74/12.72 '#I'))))))))))) @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ~))) @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#C') @ ( 94.74/12.72 '#I'))))))))))))))))))) @ 94.74/12.72 ((('#B') @ ((('#B') @ (( 94.74/12.72 ('#B') @ ( 94.74/12.72 ??))))) @ 94.74/12.72 ((('#C') @ ((('#B') @ ( 94.74/12.72 '#C') @ 94.74/12.72 ((('#B') @ ( 94.74/12.72 (('#B') @ ( 94.74/12.72 '#B'))) @ 94.74/12.72 ((('#B') @ ( 94.74/12.72 (('#B') @ ( 94.74/12.72 '#S'))) @ 94.74/12.72 ((('#C') @ ( 94.74/12.72 (('#B') @ ( 94.74/12.72 '#B') @ 94.74/12.72 (( 94.74/12.72 ('#B') @ ( 94.74/12.72 '#S') @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 &))))))) @ 94.74/12.72 ((('#C') @ ( 94.74/12.72 '#I'))))))))))) @ 94.74/12.72 ((('#C') @ ('#I'))))))))))))))))) @ 94.74/12.72 ((('#C') @ ((('#B') @ ('#B') @ 94.74/12.72 ((('#B') @ ('#S') @ 94.74/12.72 ((('#B') @ ((('#B') @ ('#S'))) @ 94.74/12.72 ((('#B') @ ((('#B') @ ((('#B') @ ( 94.74/12.72 &))))) @ 94.74/12.72 ((('#B') @ ((('#B') @ (( 94.74/12.72 ('#B') @ ( 94.74/12.72 !!))))) @ 94.74/12.72 ((('#C') @ ((('#B') @ ( 94.74/12.72 '#B') @ 94.74/12.72 ((('#B') @ ( 94.74/12.72 '#B') @ 94.74/12.72 ((('#B') @ ( 94.74/12.72 '#S') @ 94.74/12.72 ((('#B') @ ( 94.74/12.72 =>))))))))) @ 94.74/12.72 ((('#C') @ ((('#B') @ ( 94.74/12.72 '#B') @ 94.74/12.72 ((('#B') @ ( 94.74/12.72 '#S') @ 94.74/12.72 ((('#B') @ ( 94.74/12.72 (('#B') @ ( 94.74/12.72 |))) @ 94.74/12.72 ((('#B') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ~))) @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#C') @ ( 94.74/12.72 '#I'))))))))))) @ 94.74/12.72 ((('#B') @ ((('#B') @ (~))) @ 94.74/12.72 ((('#C') @ ('#I'))))))))))))))))))) @ 94.74/12.72 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 94.74/12.72 ((('#C') @ ((('#B') @ ('#C') @ 94.74/12.72 ((('#B') @ ((('#B') @ ('#S'))) @ 94.74/12.72 ((('#B') @ ((('#C') @ (( 94.74/12.72 ('#B') @ ( 94.74/12.72 '#S') @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 &))) @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#C') @ ( 94.74/12.72 '#I'))))))))) @ 94.74/12.72 ((('#C') @ ('#I')))))))))))))))))))))))))))), 94.74/12.72 inference('lams2combs', [status(thm)], [zip_derived_cl0])). 94.74/12.72 thf(zip_derived_cl2, plain, 94.74/12.72 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 94.74/12.72 ((('#C') @ ((('#C') @ ((('#S') @ ((('#S') @ ( 94.74/12.72 (('#B') @ ( 94.74/12.72 &) @ 94.74/12.72 (((>) != 94.74/12.72 ('#sk1'))))) @ 94.74/12.72 ((('#B') @ ( 94.74/12.72 !!) @ 94.74/12.72 ((('#B') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ??))) @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#C') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 '#S') @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 '#S'))) @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#S') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 '#B') @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 '#S') @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 &))))))) @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 !!))))) @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#C') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 '#C') @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 '#B'))) @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 '#S'))) @ 94.74/12.72 ( 94.74/12.72 ( 94.74/12.72 ('#B') @ ( 94.74/12.72 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 =>))))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 &))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I'))))))))))))))))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 =))))))))))))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I'))))))))))) @ 94.74/12.73 ((('#B') @ (!!) @ 94.74/12.73 ((('#C') @ ((('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 =>))))) @ 94.74/12.73 (??))))))) @ 94.74/12.73 (((!!) @ ((('#B') @ (??) @ 94.74/12.73 ((('#S') @ ((('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#S') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 &) @ 94.74/12.73 '#sk1')))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 !!))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 '#B') @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 =>))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 &))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I'))))))) @ 94.74/12.73 '#sk1')))))))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 =))))))))))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))))) @ 94.74/12.73 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk1')) @ 94.74/12.73 (??))))))))) @ 94.74/12.73 ((('#B') @ (??) @ 94.74/12.73 ((('#B') @ ((('#B') @ (??))) @ 94.74/12.73 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ ('#S'))) @ 94.74/12.73 ((('#B') @ ((('#B') @ ((('#B') @ (|))))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ ( 94.74/12.73 '#S'))) @ 94.74/12.73 ((('#B') @ ((('#B') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 &))))) @ 94.74/12.73 ((('#B') @ (( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 !!))))) @ 94.74/12.73 ((('#C') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 '#B') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 '#B') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 =>))))))))) @ 94.74/12.73 ((('#C') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 '#B') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 |))) @ 94.74/12.73 (( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ~))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I'))))))))))) @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 (('#B') @ (~))) @ 94.74/12.73 ((('#C') @ ( 94.74/12.73 '#I'))))))))))))))))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (??))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ('#B') @ 94.74/12.73 ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 (('#S') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 &) @ '#sk1')))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))))))))) @ 94.74/12.73 ((('#B') @ ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ (&))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (!!))) @ 94.74/12.73 ((('#B') @ ((('#B') @ ( 94.74/12.73 (('#S') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 =>) @ 94.74/12.73 '#sk1')))))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ( 94.74/12.73 '#B') @ 94.74/12.73 (( 94.74/12.73 ('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 |))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ~))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I'))))))))))) @ 94.74/12.73 ((('#B') @ (( 94.74/12.73 ('#B') @ ( 94.74/12.73 ~))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))))))))))) @ 94.74/12.73 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ('#C') @ 94.74/12.73 ((('#B') @ ((('#B') @ ('#S'))) @ 94.74/12.73 ((('#B') @ ((('#C') @ ((('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 (( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 &))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I'))))))))) @ 94.74/12.73 ((('#C') @ ('#I')))))))))))))))))))))))))), 94.74/12.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 94.74/12.73 thf(zip_derived_cl3, plain, 94.74/12.73 (~ ((((((('#sk1') != ('#sk2'))) & 94.74/12.73 (((!!) @ ((('#B') @ (??) @ 94.74/12.73 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#S') @ ((('#B') @ ( 94.74/12.73 &) @ '#sk2')))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (!!))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ('#B') @ 94.74/12.73 ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ ( 94.74/12.73 =>))) @ 94.74/12.73 ((('#C') @ (( 94.74/12.73 ('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 &))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I'))))))) @ 94.74/12.73 '#sk2')))))))) @ 94.74/12.73 ((('#C') @ (=))))))))))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))) & 94.74/12.73 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @ (??))))) & 94.74/12.73 (((!!) @ ((('#B') @ (??) @ 94.74/12.73 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#S') @ ((('#B') @ ( 94.74/12.73 &) @ '#sk1')))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (!!))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ('#B') @ 94.74/12.73 ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ ( 94.74/12.73 =>))) @ 94.74/12.73 ((('#C') @ (( 94.74/12.73 ('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 &))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I'))))))) @ 94.74/12.73 '#sk1')))))))) @ 94.74/12.73 ((('#C') @ (=))))))))))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))) & 94.74/12.73 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk1')) @ (??))))))) => 94.74/12.73 (((??) @ ((('#B') @ (??) @ 94.74/12.73 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ (|))) @ 94.74/12.73 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ (&))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (!!))) @ 94.74/12.73 ((('#B') @ ((('#B') @ ( 94.74/12.73 (('#S') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 =>) @ 94.74/12.73 '#sk2')))))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ( 94.74/12.73 '#B') @ 94.74/12.73 (( 94.74/12.73 ('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 |))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ~))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I'))))))))))) @ 94.74/12.73 ((('#B') @ (( 94.74/12.73 ('#B') @ ( 94.74/12.73 ~))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))))))))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (??))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ('#B') @ 94.74/12.73 ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#S') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 &) @ 94.74/12.73 '#sk1')))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))))))) @ 94.74/12.73 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ (&))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (!!))) @ 94.74/12.73 ((('#B') @ ((('#B') @ ((('#S') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 =>) @ '#sk1')))))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ('#B') @ 94.74/12.73 ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ (( 94.74/12.73 ('#B') @ ( 94.74/12.73 |))) @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 (('#B') @ (~))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (~))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))))))))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (??))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ('#C') @ 94.74/12.73 ((('#B') @ ((('#B') @ ('#S'))) @ 94.74/12.73 ((('#B') @ ((('#C') @ ((('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 &))) @ 94.74/12.73 (( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I'))))))))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))) @ 94.74/12.73 '#sk2'))))))))))))))), 94.74/12.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 94.74/12.73 thf(zip_derived_cl4, plain, 94.74/12.73 ( ((((('#sk1') != ('#sk2'))) & 94.74/12.73 (((!!) @ ((('#B') @ (??) @ 94.74/12.73 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (!!))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ('#B') @ 94.74/12.73 ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ (=>))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 &))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I'))))))) @ 94.74/12.73 '#sk2')))))))) @ 94.74/12.73 ((('#C') @ (=))))))))))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))) & 94.74/12.73 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @ (??))))) & 94.74/12.73 (((!!) @ ((('#B') @ (??) @ 94.74/12.73 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#S') @ ((('#B') @ (&) @ '#sk1')))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (!!))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ('#B') @ 94.74/12.73 ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ (=>))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 &))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I'))))))) @ 94.74/12.73 '#sk1')))))))) @ 94.74/12.73 ((('#C') @ (=))))))))))) @ 94.74/12.73 ((('#C') @ ('#I'))))))))) & 94.74/12.73 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk1')) @ (??)))))))), 94.74/12.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 94.74/12.73 thf(zip_derived_cl10, plain, 94.74/12.73 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk1')) @ (??)))))), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 94.74/12.73 thf(zip_derived_cl16, plain, 94.74/12.73 (![X2 : a > $o]: ((('#sk1' @ X2) => (((??) @ X2))))), 94.74/12.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 94.74/12.73 thf(zip_derived_cl21, plain, 94.74/12.73 (![X2 : a > $o]: (~ ('#sk1' @ X2) | (((??) @ X2)))), 94.74/12.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 94.74/12.73 thf(zip_derived_cl31, plain, 94.74/12.73 (![X2 : a > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ ('#sk1' @ X2))), 94.74/12.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 94.74/12.73 thf(zip_derived_cl9, plain, 94.74/12.73 ( (((!!) @ ((('#B') @ (??) @ 94.74/12.73 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#S') @ ((('#B') @ (&) @ '#sk1')))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (!!))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ('#B') @ 94.74/12.73 ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ (=>))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 &))) @ 94.74/12.73 ((('#C') @ ( 94.74/12.73 '#I'))))))) @ 94.74/12.73 '#sk1')))))))) @ 94.74/12.73 ((('#C') @ (=))))))))))) @ 94.74/12.73 ((('#C') @ ('#I')))))))))), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 94.74/12.73 thf(zip_derived_cl15, plain, 94.74/12.73 (![X2 : a]: 94.74/12.73 (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk1')) @ 94.74/12.73 ((('#B') @ (!!) @ 94.74/12.73 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 94.74/12.73 ((('#S') @ (( 94.74/12.73 ('#B') @ ( 94.74/12.73 &) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I') @ 94.74/12.73 X2)))) @ 94.74/12.73 '#sk1')))))) @ 94.74/12.73 ((('#C') @ (=))))))))) @ 94.74/12.73 ((('#C') @ ('#I') @ X2))))))), 94.74/12.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 94.74/12.73 thf(zip_derived_cl20, plain, 94.74/12.73 (![X2 : a]: 94.74/12.73 ((('#sk1' @ ('#sk4' @ X2)) & 94.74/12.73 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 94.74/12.73 ((('#S') @ ((('#B') @ (&) @ 94.74/12.73 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.73 '#sk1')))) @ 94.74/12.73 ((('#C') @ (=) @ ('#sk4' @ X2))))))) & 94.74/12.73 ('#sk4' @ X2 @ X2)))), 94.74/12.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl15])). 94.74/12.73 thf(zip_derived_cl29, plain, 94.74/12.73 (![X2 : a]: 94.74/12.73 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 94.74/12.73 ((('#S') @ ((('#B') @ (&) @ 94.74/12.73 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.73 '#sk1')))) @ 94.74/12.73 ((('#C') @ (=) @ ('#sk4' @ X2)))))))), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 94.74/12.73 thf(zip_derived_cl35, plain, 94.74/12.73 (![X2 : a, X4 : a > $o]: 94.74/12.73 (((((X4 @ X2) & ('#sk1' @ X4))) => (((X4) = ('#sk4' @ X2)))))), 94.74/12.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 94.74/12.73 thf(zip_derived_cl39, plain, 94.74/12.73 (![X2 : a, X4 : a > $o]: 94.74/12.73 (~ (((X4 @ X2) & ('#sk1' @ X4))) | (((X4) = ('#sk4' @ X2))))), 94.74/12.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])). 94.74/12.73 thf(zip_derived_cl46, plain, 94.74/12.73 (![X2 : a, X4 : a > $o]: 94.74/12.73 (~ (((X4 @ X2) & ('#sk1' @ X4))) | ((X4) = ('#sk4' @ X2)))), 94.74/12.73 inference('simplify nested equalities', [status(thm)], [zip_derived_cl39])). 94.74/12.73 thf(zip_derived_cl47, plain, 94.74/12.73 (![X2 : a, X4 : a > $o]: 94.74/12.73 (~ (X4 @ X2) | ~ ('#sk1' @ X4) | ((X4) = ('#sk4' @ X2)))), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 94.74/12.73 thf(zip_derived_cl316, plain, 94.74/12.73 (![X0 : a > $o]: 94.74/12.73 (~ ('#sk1' @ X0) | ((X0) = ('#sk4' @ ('#sk5' @ X0))) | ~ ('#sk1' @ X0))), 94.74/12.73 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl47])). 94.74/12.73 thf(zip_derived_cl345, plain, 94.74/12.73 (![X0 : a > $o]: (((X0) = ('#sk4' @ ('#sk5' @ X0))) | ~ ('#sk1' @ X0))), 94.74/12.73 inference('simplify', [status(thm)], [zip_derived_cl316])). 94.74/12.73 thf(zip_derived_cl47, plain, 94.74/12.73 (![X2 : a, X4 : a > $o]: 94.74/12.73 (~ (X4 @ X2) | ~ ('#sk1' @ X4) | ((X4) = ('#sk4' @ X2)))), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 94.74/12.73 thf(zip_derived_cl31, plain, 94.74/12.73 (![X2 : a > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ ('#sk1' @ X2))), 94.74/12.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 94.74/12.73 thf(zip_derived_cl296, plain, 94.74/12.73 (![X0 : a > $o, X1 : a]: 94.74/12.73 ( ('#sk4' @ X1 @ ('#sk5' @ X0)) 94.74/12.73 | ~ ('#sk1' @ X0) 94.74/12.73 | ~ (X0 @ X1) 94.74/12.73 | ~ ('#sk1' @ ('#sk4' @ X1)))), 94.74/12.73 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl31])). 94.74/12.73 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk1' @ ('#sk4' @ X2))), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 94.74/12.73 thf(zip_derived_cl351, plain, 94.74/12.73 (![X0 : a > $o, X1 : a]: 94.74/12.73 ( ('#sk4' @ X1 @ ('#sk5' @ X0)) | ~ ('#sk1' @ X0) | ~ (X0 @ X1))), 94.74/12.73 inference('demod', [status(thm)], [zip_derived_cl296, zip_derived_cl28])). 94.74/12.73 thf(zip_derived_cl47, plain, 94.74/12.73 (![X2 : a, X4 : a > $o]: 94.74/12.73 (~ (X4 @ X2) | ~ ('#sk1' @ X4) | ((X4) = ('#sk4' @ X2)))), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 94.74/12.73 thf(zip_derived_cl47, plain, 94.74/12.73 (![X2 : a, X4 : a > $o]: 94.74/12.73 (~ (X4 @ X2) | ~ ('#sk1' @ X4) | ((X4) = ('#sk4' @ X2)))), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 94.74/12.73 thf(zip_derived_cl299, plain, 94.74/12.73 (![X0 : a > $o, X1 : a > $o, X2 : a]: 94.74/12.73 (((X1) = (X0)) 94.74/12.73 | ~ ('#sk1' @ X0) 94.74/12.73 | ~ (X0 @ X2) 94.74/12.73 | ~ ('#sk1' @ X1) 94.74/12.73 | ~ (X1 @ X2))), 94.74/12.73 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl47])). 94.74/12.73 thf(zip_derived_cl10096, plain, 94.74/12.73 (![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 94.74/12.73 (((X1 @ X3) = (X0 @ X3)) 94.74/12.73 | ~ (X1 @ X2) 94.74/12.73 | ~ ('#sk1' @ X1) 94.74/12.73 | ~ (X0 @ X2) 94.74/12.73 | ~ ('#sk1' @ X0))), 94.74/12.73 inference('ho_complete_eq', [status(thm)], [zip_derived_cl299])). 94.74/12.73 thf(zip_derived_cl345, plain, 94.74/12.73 (![X0 : a > $o]: (((X0) = ('#sk4' @ ('#sk5' @ X0))) | ~ ('#sk1' @ X0))), 94.74/12.73 inference('simplify', [status(thm)], [zip_derived_cl316])). 94.74/12.73 thf(zip_derived_cl392, plain, 94.74/12.73 (![X0 : a > $o, X1 : a]: 94.74/12.73 (((X0 @ X1) = ('#sk4' @ ('#sk5' @ X0) @ X1)) | ~ ('#sk1' @ X0))), 94.74/12.73 inference('ho_complete_eq', [status(thm)], [zip_derived_cl345])). 94.74/12.73 thf(zip_derived_cl392, plain, 94.74/12.73 (![X0 : a > $o, X1 : a]: 94.74/12.73 (((X0 @ X1) = ('#sk4' @ ('#sk5' @ X0) @ X1)) | ~ ('#sk1' @ X0))), 94.74/12.73 inference('ho_complete_eq', [status(thm)], [zip_derived_cl345])). 94.74/12.73 thf(zip_derived_cl3347, plain, 94.74/12.73 (![X0 : a > $o, X1 : a]: 94.74/12.73 (~ (X0 @ X1) | ('#sk4' @ ('#sk5' @ X0) @ X1) | ~ ('#sk1' @ X0))), 94.74/12.73 inference('eq_elim', [status(thm)], [zip_derived_cl392])). 94.74/12.73 thf(zip_derived_cl7, plain, 94.74/12.73 ( (((!!) @ ((('#B') @ (??) @ 94.74/12.73 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (!!))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ('#B') @ 94.74/12.73 ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ (=>))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 &))) @ 94.74/12.73 ((('#C') @ ( 94.74/12.73 '#I'))))))) @ 94.74/12.73 '#sk2')))))))) @ 94.74/12.73 ((('#C') @ (=))))))))))) @ 94.74/12.73 ((('#C') @ ('#I')))))))))), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 94.74/12.73 thf(zip_derived_cl13, plain, 94.74/12.73 (![X2 : a]: 94.74/12.73 (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')) @ 94.74/12.73 ((('#B') @ (!!) @ 94.74/12.73 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 94.74/12.73 ((('#S') @ (( 94.74/12.73 ('#B') @ ( 94.74/12.73 &) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#C') @ ( 94.74/12.73 '#I') @ 94.74/12.73 X2)))) @ 94.74/12.73 '#sk2')))))) @ 94.74/12.73 ((('#C') @ (=))))))))) @ 94.74/12.73 ((('#C') @ ('#I') @ X2))))))), 94.74/12.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 94.74/12.73 thf(zip_derived_cl18, plain, 94.74/12.73 (![X2 : a]: 94.74/12.73 ((('#sk2' @ ('#sk3' @ X2)) & 94.74/12.73 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 94.74/12.73 ((('#S') @ ((('#B') @ (&) @ 94.74/12.73 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.73 '#sk2')))) @ 94.74/12.73 ((('#C') @ (=) @ ('#sk3' @ X2))))))) & 94.74/12.73 ('#sk3' @ X2 @ X2)))), 94.74/12.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl13])). 94.74/12.73 thf(zip_derived_cl25, plain, 94.74/12.73 (![X2 : a]: 94.74/12.73 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 94.74/12.73 ((('#S') @ ((('#B') @ (&) @ 94.74/12.73 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.73 '#sk2')))) @ 94.74/12.73 ((('#C') @ (=) @ ('#sk3' @ X2)))))))), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 94.74/12.73 thf(zip_derived_cl34, plain, 94.74/12.73 (![X2 : a, X4 : a > $o]: 94.74/12.73 (((((X4 @ X2) & ('#sk2' @ X4))) => (((X4) = ('#sk3' @ X2)))))), 94.74/12.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl25])). 94.74/12.73 thf(zip_derived_cl38, plain, 94.74/12.73 (![X2 : a, X4 : a > $o]: 94.74/12.73 (~ (((X4 @ X2) & ('#sk2' @ X4))) | (((X4) = ('#sk3' @ X2))))), 94.74/12.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])). 94.74/12.73 thf(zip_derived_cl44, plain, 94.74/12.73 (![X2 : a, X4 : a > $o]: 94.74/12.73 (~ (((X4 @ X2) & ('#sk2' @ X4))) | ((X4) = ('#sk3' @ X2)))), 94.74/12.73 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 94.74/12.73 thf(zip_derived_cl45, plain, 94.74/12.73 (![X2 : a, X4 : a > $o]: 94.74/12.73 (~ (X4 @ X2) | ~ ('#sk2' @ X4) | ((X4) = ('#sk3' @ X2)))), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 94.74/12.73 thf(zip_derived_cl8, plain, 94.74/12.73 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @ (??)))))), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 94.74/12.73 thf(zip_derived_cl14, plain, 94.74/12.73 (![X2 : a > $o]: ((('#sk2' @ X2) => (((??) @ X2))))), 94.74/12.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 94.74/12.73 thf(zip_derived_cl19, plain, 94.74/12.73 (![X2 : a > $o]: (~ ('#sk2' @ X2) | (((??) @ X2)))), 94.74/12.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 94.74/12.73 thf(zip_derived_cl27, plain, 94.74/12.73 (![X2 : a > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ ('#sk2' @ X2))), 94.74/12.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 94.74/12.73 thf(zip_derived_cl218, plain, 94.74/12.73 (![X0 : a, X1 : a > $o]: 94.74/12.73 ( (X1 @ ('#sk5' @ ('#sk3' @ X0))) 94.74/12.73 | ~ ('#sk2' @ X1) 94.74/12.73 | ~ (X1 @ X0) 94.74/12.73 | ~ ('#sk2' @ X1))), 94.74/12.73 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl27])). 94.74/12.73 thf(zip_derived_cl266, plain, 94.74/12.73 (![X0 : a, X1 : a > $o]: 94.74/12.73 (~ (X1 @ X0) | ~ ('#sk2' @ X1) | (X1 @ ('#sk5' @ ('#sk3' @ X0))))), 94.74/12.73 inference('simplify', [status(thm)], [zip_derived_cl218])). 94.74/12.73 thf(zip_derived_cl26, plain, (![X2 : a]: ('#sk3' @ X2 @ X2)), 94.74/12.73 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 94.74/12.73 thf(zip_derived_cl5, plain, 94.74/12.73 (~ (((??) @ ((('#B') @ (??) @ 94.74/12.73 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ (|))) @ 94.74/12.73 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.73 ((('#B') @ ((('#B') @ (&))) @ 94.74/12.73 ((('#B') @ ((('#B') @ (!!))) @ 94.74/12.73 ((('#B') @ ((('#B') @ ( 94.74/12.73 (('#S') @ ( 94.74/12.73 (('#B') @ ( 94.74/12.73 =>) @ '#sk2')))))) @ 94.74/12.73 ((('#C') @ ((('#B') @ ( 94.74/12.73 '#B') @ 94.74/12.73 ((('#B') @ ( 94.74/12.73 '#S') @ 94.74/12.73 (( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 |))) @ 94.74/12.73 ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ( 94.74/12.73 ('#B') @ ( 94.74/12.73 ~))) @ 94.74/12.73 ( 94.74/12.74 ( 94.74/12.74 ('#C') @ ( 94.74/12.74 '#I'))))))))))) @ 94.74/12.74 ((('#B') @ ((('#B') @ ( 94.74/12.74 ~))) @ 94.74/12.74 ((('#C') @ ('#I'))))))))))))))) @ 94.74/12.74 ((('#B') @ ((('#B') @ (??))) @ 94.74/12.74 ((('#C') @ ((('#B') @ ('#B') @ 94.74/12.74 ((('#B') @ ('#S') @ 94.74/12.74 ((('#B') @ ((('#S') @ ( 94.74/12.74 (('#B') @ ( 94.74/12.74 &) @ '#sk1')))) @ 94.74/12.74 ((('#C') @ ('#I'))))))))) @ 94.74/12.74 ((('#C') @ ('#I'))))))))))))) @ 94.74/12.74 ((('#S') @ ((('#B') @ ('#S') @ 94.74/12.74 ((('#B') @ ((('#B') @ (&))) @ 94.74/12.74 ((('#B') @ ((('#B') @ (!!))) @ 94.74/12.74 ((('#B') @ ((('#B') @ ((('#S') @ ( 94.74/12.74 (('#B') @ ( 94.74/12.74 =>) @ '#sk1')))))) @ 94.74/12.74 ((('#C') @ ((('#B') @ ('#B') @ 94.74/12.74 ((('#B') @ ('#S') @ 94.74/12.74 ((('#B') @ ((('#B') @ ( 94.74/12.74 |))) @ 94.74/12.74 ((('#B') @ (( 94.74/12.74 ('#B') @ ( 94.74/12.74 ~))) @ 94.74/12.74 ((('#C') @ ('#I'))))))))))) @ 94.74/12.74 ((('#B') @ ((('#B') @ (~))) @ 94.74/12.74 ((('#C') @ ('#I'))))))))))))))) @ 94.74/12.74 ((('#B') @ ((('#B') @ (??))) @ 94.74/12.74 ((('#C') @ ((('#B') @ ('#C') @ 94.74/12.74 ((('#B') @ ((('#B') @ ('#S'))) @ 94.74/12.74 ((('#B') @ ((('#C') @ ((('#B') @ ( 94.74/12.74 '#S') @ 94.74/12.74 ((('#B') @ ( 94.74/12.74 (('#B') @ ( 94.74/12.74 &))) @ 94.74/12.74 ((('#C') @ ( 94.74/12.74 '#I'))))))))) @ 94.74/12.74 ((('#C') @ ('#I'))))))))) @ 94.74/12.74 '#sk2'))))))))))))), 94.74/12.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 94.74/12.74 thf(zip_derived_cl11, plain, 94.74/12.74 (![X2 : a]: 94.74/12.74 ~ (((??) @ ((('#S') @ ((('#B') @ (|) @ 94.74/12.74 ((('#S') @ ((('#B') @ (&) @ 94.74/12.74 ((('#B') @ (!!) @ 94.74/12.74 ((('#B') @ ((('#S') @ ( 94.74/12.74 (('#B') @ ( 94.74/12.74 =>) @ '#sk2')))) @ 94.74/12.74 ((('#B') @ ((('#S') @ ( 94.74/12.74 (('#B') @ ( 94.74/12.74 |) @ 94.74/12.74 ((('#B') @ ( 94.74/12.74 ~) @ 94.74/12.74 ((('#C') @ ( 94.74/12.74 '#I') @ X2)))))))) @ 94.74/12.74 ((('#B') @ ((('#B') @ (~))) @ 94.74/12.74 ((('#C') @ ('#I'))))))))))))) @ 94.74/12.74 ((('#B') @ (??) @ 94.74/12.74 ((('#B') @ ((('#S') @ ((('#S') @ ( 94.74/12.74 (('#B') @ ( 94.74/12.74 &) @ '#sk1')) @ 94.74/12.74 ((('#C') @ ( 94.74/12.74 '#I') @ X2)))))) @ 94.74/12.74 ((('#C') @ ('#I'))))))))))) @ 94.74/12.74 ((('#S') @ ((('#B') @ (&) @ 94.74/12.74 ((('#B') @ (!!) @ 94.74/12.74 ((('#B') @ ((('#S') @ ((('#B') @ ( 94.74/12.74 =>) @ '#sk1')))) @ 94.74/12.74 ((('#B') @ ((('#S') @ ((('#B') @ ( 94.74/12.74 |) @ 94.74/12.74 ((('#B') @ ( 94.74/12.74 ~) @ 94.74/12.74 ((('#C') @ ( 94.74/12.74 '#I') @ X2)))))))) @ 94.74/12.74 ((('#B') @ ((('#B') @ (~))) @ 94.74/12.74 ((('#C') @ ('#I'))))))))))))) @ 94.74/12.74 ((('#B') @ (??) @ 94.74/12.74 ((('#C') @ ((('#B') @ ('#S') @ 94.74/12.74 ((('#C') @ ((('#B') @ ('#S') @ 94.74/12.74 ((('#B') @ ((('#B') @ (&))) @ 94.74/12.74 ((('#C') @ ('#I'))))))) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))))) @ 94.74/12.74 '#sk2'))))))))))), 94.74/12.74 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 94.74/12.74 thf(zip_derived_cl17, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 ~ (((((((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @ 94.74/12.74 ((('#S') @ ((('#B') @ (|) @ 94.74/12.74 ((('#B') @ (~) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))))) @ 94.74/12.74 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X4)))))))))) & 94.74/12.74 (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk1')) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))))))) | 94.74/12.74 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk1')) @ 94.74/12.74 ((('#S') @ ((('#B') @ (|) @ 94.74/12.74 ((('#B') @ (~) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))))) @ 94.74/12.74 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X4)))))))))) & 94.74/12.74 (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 '#sk2'))))))))), 94.74/12.74 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 94.74/12.74 thf(zip_derived_cl23, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 ~ (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk1')) @ 94.74/12.74 ((('#S') @ ((('#B') @ (|) @ 94.74/12.74 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X2)))))) @ 94.74/12.74 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X4)))))))))) & 94.74/12.74 (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 '#sk2'))))))), 94.74/12.74 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])). 94.74/12.74 thf(zip_derived_cl33, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk1')) @ 94.74/12.74 ((('#S') @ ((('#B') @ (|) @ 94.74/12.74 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X2)))))) @ 94.74/12.74 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X4)))))))))) 94.74/12.74 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 '#sk2')))))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 94.74/12.74 thf(zip_derived_cl37, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 (~ ((('#sk1' @ ('#sk7' @ X2 @ X4)) => 94.74/12.74 (((((~) @ ('#sk7' @ X2 @ X4 @ X2))) | 94.74/12.74 (((~) @ ('#sk7' @ X2 @ X4 @ X4))))))) 94.74/12.74 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 '#sk2')))))), 94.74/12.74 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl33])). 94.74/12.74 thf(zip_derived_cl43, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 (~ (((((~) @ ('#sk7' @ X2 @ X4 @ X2))) | 94.74/12.74 (((~) @ ('#sk7' @ X2 @ X4 @ X4))))) 94.74/12.74 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 '#sk2')))))), 94.74/12.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])). 94.74/12.74 thf(zip_derived_cl53, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 ( ('#sk7' @ X2 @ X4 @ X4) 94.74/12.74 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 '#sk2')))))), 94.74/12.74 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl43])). 94.74/12.74 thf(zip_derived_cl59, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ (((X6 @ X4) & (X6 @ X2) & ('#sk2' @ X6))) 94.74/12.74 | ('#sk7' @ X2 @ X4 @ X4))), 94.74/12.74 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl53])). 94.74/12.74 thf(zip_derived_cl63, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ (X6 @ X4) 94.74/12.74 | ~ (X6 @ X2) 94.74/12.74 | ~ ('#sk2' @ X6) 94.74/12.74 | ('#sk7' @ X2 @ X4 @ X4))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 94.74/12.74 thf(zip_derived_cl2323, plain, 94.74/12.74 (![X0 : a, X1 : a]: 94.74/12.74 ( ('#sk7' @ X0 @ X1 @ X1) 94.74/12.74 | ~ ('#sk2' @ ('#sk3' @ X0)) 94.74/12.74 | ~ ('#sk3' @ X0 @ X1))), 94.74/12.74 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl63])). 94.74/12.74 thf(zip_derived_cl24, plain, (![X2 : a]: ('#sk2' @ ('#sk3' @ X2))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 94.74/12.74 thf(zip_derived_cl2414, plain, 94.74/12.74 (![X0 : a, X1 : a]: ( ('#sk7' @ X0 @ X1 @ X1) | ~ ('#sk3' @ X0 @ X1))), 94.74/12.74 inference('demod', [status(thm)], [zip_derived_cl2323, zip_derived_cl24])). 94.74/12.74 thf(zip_derived_cl27, plain, 94.74/12.74 (![X2 : a > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ ('#sk2' @ X2))), 94.74/12.74 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 94.74/12.74 thf(zip_derived_cl45, plain, 94.74/12.74 (![X2 : a, X4 : a > $o]: 94.74/12.74 (~ (X4 @ X2) | ~ ('#sk2' @ X4) | ((X4) = ('#sk3' @ X2)))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 94.74/12.74 thf(zip_derived_cl230, plain, 94.74/12.74 (![X0 : a > $o]: 94.74/12.74 (~ ('#sk2' @ X0) | ((X0) = ('#sk3' @ ('#sk5' @ X0))) | ~ ('#sk2' @ X0))), 94.74/12.74 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl45])). 94.74/12.74 thf(zip_derived_cl259, plain, 94.74/12.74 (![X0 : a > $o]: (((X0) = ('#sk3' @ ('#sk5' @ X0))) | ~ ('#sk2' @ X0))), 94.74/12.74 inference('simplify', [status(thm)], [zip_derived_cl230])). 94.74/12.74 thf(zip_derived_cl286, plain, 94.74/12.74 (![X0 : a > $o, X1 : a]: 94.74/12.74 (((X0 @ X1) = ('#sk3' @ ('#sk5' @ X0) @ X1)) | ~ ('#sk2' @ X0))), 94.74/12.74 inference('ho_complete_eq', [status(thm)], [zip_derived_cl259])). 94.74/12.74 thf(zip_derived_cl1710, plain, 94.74/12.74 (![X0 : a > $o, X1 : a]: 94.74/12.74 (~ (X0 @ X1) | ('#sk3' @ ('#sk5' @ X0) @ X1) | ~ ('#sk2' @ X0))), 94.74/12.74 inference('eq_elim', [status(thm)], [zip_derived_cl286])). 94.74/12.74 thf(zip_derived_cl30, plain, (![X2 : a]: ('#sk4' @ X2 @ X2)), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 94.74/12.74 thf(zip_derived_cl22, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 ~ (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @ 94.74/12.74 ((('#S') @ ((('#B') @ (|) @ 94.74/12.74 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X2)))))) @ 94.74/12.74 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X4)))))))))) & 94.74/12.74 (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk1')) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X4))))))))), 94.74/12.74 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])). 94.74/12.74 thf(zip_derived_cl32, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @ 94.74/12.74 ((('#S') @ ((('#B') @ (|) @ 94.74/12.74 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X2)))))) @ 94.74/12.74 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X4)))))))))) 94.74/12.74 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk1')) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))))))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl22])). 94.74/12.74 thf(zip_derived_cl36, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 (~ ((('#sk2' @ ('#sk6' @ X2 @ X4)) => 94.74/12.74 (((((~) @ ('#sk6' @ X2 @ X4 @ X2))) | 94.74/12.74 (((~) @ ('#sk6' @ X2 @ X4 @ X4))))))) 94.74/12.74 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk1')) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))))))), 94.74/12.74 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl32])). 94.74/12.74 thf(zip_derived_cl41, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 (~ (((((~) @ ('#sk6' @ X2 @ X4 @ X2))) | 94.74/12.74 (((~) @ ('#sk6' @ X2 @ X4 @ X4))))) 94.74/12.74 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk1')) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))))))), 94.74/12.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 94.74/12.74 thf(zip_derived_cl49, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 ( ('#sk6' @ X2 @ X4 @ X2) 94.74/12.74 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk1')) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))))))), 94.74/12.74 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl41])). 94.74/12.74 thf(zip_derived_cl55, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ ((('#sk1' @ X6) & (X6 @ X2) & (X6 @ X4))) 94.74/12.74 | ('#sk6' @ X2 @ X4 @ X2))), 94.74/12.74 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl49])). 94.74/12.74 thf(zip_derived_cl60, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ ('#sk1' @ X6) 94.74/12.74 | ~ (X6 @ X2) 94.74/12.74 | ~ (X6 @ X4) 94.74/12.74 | ('#sk6' @ X2 @ X4 @ X2))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 94.74/12.74 thf(zip_derived_cl1184, plain, 94.74/12.74 (![X0 : a, X1 : a]: 94.74/12.74 ( ('#sk6' @ X1 @ X0 @ X1) 94.74/12.74 | ~ ('#sk4' @ X0 @ X1) 94.74/12.74 | ~ ('#sk1' @ ('#sk4' @ X0)))), 94.74/12.74 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl60])). 94.74/12.74 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk1' @ ('#sk4' @ X2))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 94.74/12.74 thf(zip_derived_cl1239, plain, 94.74/12.74 (![X0 : a, X1 : a]: ( ('#sk6' @ X1 @ X0 @ X1) | ~ ('#sk4' @ X0 @ X1))), 94.74/12.74 inference('demod', [status(thm)], [zip_derived_cl1184, zip_derived_cl28])). 94.74/12.74 thf(zip_derived_cl52, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 ( ('#sk7' @ X2 @ X4 @ X2) 94.74/12.74 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 '#sk2')))))), 94.74/12.74 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl43])). 94.74/12.74 thf(zip_derived_cl58, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ (((X6 @ X4) & (X6 @ X2) & ('#sk2' @ X6))) 94.74/12.74 | ('#sk7' @ X2 @ X4 @ X2))), 94.74/12.74 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl52])). 94.74/12.74 thf(zip_derived_cl62, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ (X6 @ X4) 94.74/12.74 | ~ (X6 @ X2) 94.74/12.74 | ~ ('#sk2' @ X6) 94.74/12.74 | ('#sk7' @ X2 @ X4 @ X2))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl58])). 94.74/12.74 thf(zip_derived_cl45, plain, 94.74/12.74 (![X2 : a, X4 : a > $o]: 94.74/12.74 (~ (X4 @ X2) | ~ ('#sk2' @ X4) | ((X4) = ('#sk3' @ X2)))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 94.74/12.74 thf(zip_derived_cl45, plain, 94.74/12.74 (![X2 : a, X4 : a > $o]: 94.74/12.74 (~ (X4 @ X2) | ~ ('#sk2' @ X4) | ((X4) = ('#sk3' @ X2)))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 94.74/12.74 thf(zip_derived_cl217, plain, 94.74/12.74 (![X0 : a > $o, X1 : a > $o, X2 : a]: 94.74/12.74 (((X1) = (X0)) 94.74/12.74 | ~ ('#sk2' @ X0) 94.74/12.74 | ~ (X0 @ X2) 94.74/12.74 | ~ ('#sk2' @ X1) 94.74/12.74 | ~ (X1 @ X2))), 94.74/12.74 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl45])). 94.74/12.74 thf(zip_derived_cl7597, plain, 94.74/12.74 (![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 94.74/12.74 (((X1 @ X3) = (X0 @ X3)) 94.74/12.74 | ~ (X1 @ X2) 94.74/12.74 | ~ ('#sk2' @ X1) 94.74/12.74 | ~ (X0 @ X2) 94.74/12.74 | ~ ('#sk2' @ X0))), 94.74/12.74 inference('ho_complete_eq', [status(thm)], [zip_derived_cl217])). 94.74/12.74 thf(zip_derived_cl6, plain, ( ((('#sk1') != ('#sk2')))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 94.74/12.74 thf(zip_derived_cl12, plain, ((('#sk1') != ('#sk2'))), 94.74/12.74 inference('simplify nested equalities', [status(thm)], [zip_derived_cl6])). 94.74/12.74 thf(zip_derived_cl30, plain, (![X2 : a]: ('#sk4' @ X2 @ X2)), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 94.74/12.74 thf(zip_derived_cl31, plain, 94.74/12.74 (![X2 : a > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ ('#sk1' @ X2))), 94.74/12.74 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 94.74/12.74 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk1' @ ('#sk4' @ X2))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 94.74/12.74 thf(zip_derived_cl47, plain, 94.74/12.74 (![X2 : a, X4 : a > $o]: 94.74/12.74 (~ (X4 @ X2) | ~ ('#sk1' @ X4) | ((X4) = ('#sk4' @ X2)))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 94.74/12.74 thf(zip_derived_cl50, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 ( ('#sk6' @ X2 @ X4 @ X4) 94.74/12.74 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk1')) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))))))), 94.74/12.74 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl41])). 94.74/12.74 thf(zip_derived_cl56, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ ((('#sk1' @ X6) & (X6 @ X2) & (X6 @ X4))) 94.74/12.74 | ('#sk6' @ X2 @ X4 @ X4))), 94.74/12.74 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl50])). 94.74/12.74 thf(zip_derived_cl61, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ ('#sk1' @ X6) 94.74/12.74 | ~ (X6 @ X2) 94.74/12.74 | ~ (X6 @ X4) 94.74/12.74 | ('#sk6' @ X2 @ X4 @ X4))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 94.74/12.74 thf(zip_derived_cl40, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 ( ('#sk2' @ ('#sk6' @ X2 @ X4)) 94.74/12.74 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk1')) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))))))), 94.74/12.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 94.74/12.74 thf(zip_derived_cl48, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ ((('#sk1' @ X6) & (X6 @ X2) & (X6 @ X4))) 94.74/12.74 | ('#sk2' @ ('#sk6' @ X2 @ X4)))), 94.74/12.74 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl40])). 94.74/12.74 thf(zip_derived_cl54, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ ('#sk1' @ X6) 94.74/12.74 | ~ (X6 @ X2) 94.74/12.74 | ~ (X6 @ X4) 94.74/12.74 | ('#sk2' @ ('#sk6' @ X2 @ X4)))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl48])). 94.74/12.74 thf(zip_derived_cl26, plain, (![X2 : a]: ('#sk3' @ X2 @ X2)), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 94.74/12.74 thf(zip_derived_cl62, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ (X6 @ X4) 94.74/12.74 | ~ (X6 @ X2) 94.74/12.74 | ~ ('#sk2' @ X6) 94.74/12.74 | ('#sk7' @ X2 @ X4 @ X2))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl58])). 94.74/12.74 thf(zip_derived_cl1861, plain, 94.74/12.74 (![X0 : a > $o, X1 : a]: 94.74/12.74 ( ('#sk7' @ X1 @ X1 @ X1) | ~ ('#sk2' @ X0) | ~ (X0 @ X1))), 94.74/12.74 inference('eq_fact', [status(thm)], [zip_derived_cl62])). 94.74/12.74 thf(zip_derived_cl27, plain, 94.74/12.74 (![X2 : a > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ ('#sk2' @ X2))), 94.74/12.74 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 94.74/12.74 thf(zip_derived_cl42, plain, 94.74/12.74 (![X2 : a, X4 : a]: 94.74/12.74 ( ('#sk1' @ ('#sk7' @ X2 @ X4)) 94.74/12.74 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 94.74/12.74 ((('#C') @ ('#I') @ X4)))) @ 94.74/12.74 ((('#C') @ ('#I') @ X2)))) @ 94.74/12.74 '#sk2')))))), 94.74/12.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])). 94.74/12.74 thf(zip_derived_cl51, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ (((X6 @ X4) & (X6 @ X2) & ('#sk2' @ X6))) 94.74/12.74 | ('#sk1' @ ('#sk7' @ X2 @ X4)))), 94.74/12.74 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl42])). 94.74/12.74 thf(zip_derived_cl57, plain, 94.74/12.74 (![X2 : a, X4 : a, X6 : a > $o]: 94.74/12.74 (~ (X6 @ X4) 94.74/12.74 | ~ (X6 @ X2) 94.74/12.74 | ~ ('#sk2' @ X6) 94.74/12.74 | ('#sk1' @ ('#sk7' @ X2 @ X4)))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl51])). 94.74/12.74 thf(zip_derived_cl24, plain, (![X2 : a]: ('#sk2' @ ('#sk3' @ X2))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 94.74/12.74 thf(zip_derived_cl45, plain, 94.74/12.74 (![X2 : a, X4 : a > $o]: 94.74/12.74 (~ (X4 @ X2) | ~ ('#sk2' @ X4) | ((X4) = ('#sk3' @ X2)))), 94.74/12.74 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 94.74/12.74 thf(zip_derived_cl10709, plain, ($false), 94.74/12.74 inference('eprover', [status(thm)], 94.74/12.74 [zip_derived_cl345, zip_derived_cl351, zip_derived_cl10096, 94.74/12.74 zip_derived_cl392, zip_derived_cl3347, zip_derived_cl266, 94.74/12.74 zip_derived_cl2414, zip_derived_cl1710, zip_derived_cl1239, 94.74/12.74 zip_derived_cl62, zip_derived_cl7597, zip_derived_cl12, 94.74/12.74 zip_derived_cl30, zip_derived_cl31, zip_derived_cl28, 94.74/12.74 zip_derived_cl47, zip_derived_cl61, zip_derived_cl54, 94.74/12.74 zip_derived_cl26, zip_derived_cl1861, zip_derived_cl27, 94.74/12.74 zip_derived_cl57, zip_derived_cl24, zip_derived_cl45])). 94.74/12.74 94.74/12.74 % SZS output end Refutation 94.74/12.74 94.74/12.74 94.74/12.74 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 94.74/12.74 % Terminating... 13.52/12.81 % Runner terminated. 13.52/12.84 % Zipperpin 1.5 exiting 13.52/12.85 EOF