0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.70NqQvI7cs true 0.09/0.30 % Computer : n019.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Tue Aug 9 07:53:06 EDT 2022 0.14/0.30 % CPUTime : 0.14/0.30 % Running portfolio for 960 s 0.14/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.30 % Number of cores: 8 0.14/0.30 % Python version: Python 3.6.8 0.14/0.30 % Running in HO mode 0.14/0.58 % Total configuration time : 828 0.14/0.58 % Estimated wc time : 1656 0.14/0.58 % Estimated cpu time (8 cpus) : 207.0 1.04/0.66 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 1.04/0.66 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 1.04/0.66 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 1.04/0.66 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 1.04/0.66 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 1.04/0.66 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 1.04/0.67 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 1.04/0.67 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 127.47/16.60 % Solved by lams/40_b.comb.sh. 127.47/16.60 % done 609 iterations in 15.802s 127.47/16.60 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 127.47/16.60 % SZS output start Refutation 127.47/16.60 thf(a_type, type, a: $tType). 127.47/16.60 thf('#sk4_type', type, '#sk4': a > a > $o). 127.47/16.60 thf('#sk5_type', type, '#sk5': (a > $o) > a). 127.47/16.60 thf('#sk2_type', type, '#sk2': (a > $o) > $o). 127.47/16.60 thf('#sk3_type', type, '#sk3': a > a > $o). 127.47/16.60 thf('#sk7_type', type, '#sk7': a > a > a > $o). 127.47/16.60 thf('#sk1_type', type, '#sk1': (a > $o) > $o). 127.47/16.60 thf('#sk6_type', type, '#sk6': a > a > a > $o). 127.47/16.60 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 127.47/16.60 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 127.47/16.60 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 127.47/16.60 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 127.47/16.60 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 127.47/16.60 thf(cTHM266_LEMMA_pme, conjecture, 127.47/16.60 (![T:( ( a > $o ) > $o ),U:( ( a > $o ) > $o )]: 127.47/16.60 ( ( ( ![Xx:a]: 127.47/16.60 ( ?[Xp:( a > $o )]: 127.47/16.60 ( ( ![Xq:( a > $o )]: 127.47/16.60 ( ( ( T @ Xq ) & ( Xq @ Xx ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 127.47/16.60 ( Xp @ Xx ) & ( T @ Xp ) ) ) ) & 127.47/16.60 ( ![Xp:( a > $o )]: ( ( U @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 127.47/16.60 ( ![Xx:a]: 127.47/16.60 ( ?[Xp:( a > $o )]: 127.47/16.60 ( ( U @ Xp ) & 127.47/16.60 ( ![Xq:( a > $o )]: 127.47/16.60 ( ( ( Xq @ Xx ) & ( U @ Xq ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 127.47/16.60 ( Xp @ Xx ) ) ) ) & 127.47/16.60 ( ![Xp:( a > $o )]: ( ( T @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 127.47/16.60 ( ( T ) != ( U ) ) ) => 127.47/16.60 ( ?[Xx:a,Xy:a]: 127.47/16.60 ( ( ( ![Xq:( a > $o )]: 127.47/16.60 ( ( U @ Xq ) => ( ( ~( Xq @ Xx ) ) | ( ~( Xq @ Xy ) ) ) ) ) & 127.47/16.60 ( ?[Xs:( a > $o )]: ( ( Xs @ Xy ) & ( Xs @ Xx ) & ( T @ Xs ) ) ) ) | 127.47/16.60 ( ( ![Xq:( a > $o )]: 127.47/16.60 ( ( T @ Xq ) => ( ( ~( Xq @ Xy ) ) | ( ~( Xq @ Xx ) ) ) ) ) & 127.47/16.60 ( ?[Xs:( a > $o )]: ( ( U @ Xs ) & ( Xs @ Xx ) & ( Xs @ Xy ) ) ) ) ) ) ))). 127.47/16.60 thf(zf_stmt_0, negated_conjecture, 127.47/16.60 (~( ![T:( ( a > $o ) > $o ),U:( ( a > $o ) > $o )]: 127.47/16.60 ( ( ( ![Xx:a]: 127.47/16.60 ( ?[Xp:( a > $o )]: 127.47/16.60 ( ( ![Xq:( a > $o )]: 127.47/16.60 ( ( ( T @ Xq ) & ( Xq @ Xx ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 127.47/16.60 ( Xp @ Xx ) & ( T @ Xp ) ) ) ) & 127.47/16.60 ( ![Xp:( a > $o )]: ( ( U @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 127.47/16.60 ( ![Xx:a]: 127.47/16.60 ( ?[Xp:( a > $o )]: 127.47/16.60 ( ( U @ Xp ) & 127.47/16.60 ( ![Xq:( a > $o )]: 127.47/16.60 ( ( ( Xq @ Xx ) & ( U @ Xq ) ) => ( ( Xq ) = ( Xp ) ) ) ) & 127.47/16.60 ( Xp @ Xx ) ) ) ) & 127.47/16.60 ( ![Xp:( a > $o )]: ( ( T @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) & 127.47/16.60 ( ( T ) != ( U ) ) ) => 127.47/16.60 ( ?[Xx:a,Xy:a]: 127.47/16.60 ( ( ( ![Xq:( a > $o )]: 127.47/16.60 ( ( U @ Xq ) => ( ( ~( Xq @ Xx ) ) | ( ~( Xq @ Xy ) ) ) ) ) & 127.47/16.60 ( ?[Xs:( a > $o )]: ( ( Xs @ Xy ) & ( Xs @ Xx ) & ( T @ Xs ) ) ) ) | 127.47/16.60 ( ( ![Xq:( a > $o )]: 127.47/16.60 ( ( T @ Xq ) => ( ( ~( Xq @ Xy ) ) | ( ~( Xq @ Xx ) ) ) ) ) & 127.47/16.60 ( ?[Xs:( a > $o )]: ( ( U @ Xs ) & ( Xs @ Xx ) & ( Xs @ Xy ) ) ) ) ) ) ) )), 127.47/16.60 inference('cnf.neg', [status(esa)], [cTHM266_LEMMA_pme])). 127.47/16.60 thf(zip_derived_cl0, plain, 127.47/16.60 (~ (((!!) @ (^[Y0 : (a > $o) > $o]: 127.47/16.60 (((!!) @ (^[Y1 : (a > $o) > $o]: 127.47/16.60 (((((((!!) @ (^[Y2 : a]: 127.47/16.60 (((??) @ (^[Y3 : a > $o]: 127.47/16.60 (((((!!) @ ( 127.47/16.60 ^[Y4 : a > $o]: 127.47/16.60 (((( 127.47/16.60 (Y0 @ 127.47/16.60 Y4) & 127.47/16.60 (Y4 @ Y2))) => 127.47/16.60 (( 127.47/16.60 (Y4) = 127.47/16.60 (Y3)))))))) & 127.47/16.60 (Y3 @ Y2) & 127.47/16.60 (Y0 @ Y3))))))))) & 127.47/16.60 (((!!) @ (^[Y2 : a > $o]: 127.47/16.60 (((Y1 @ Y2) => 127.47/16.60 (((??) @ (^[Y3 : a]: 127.47/16.60 (Y2 @ Y3))))))))) & 127.47/16.60 (((!!) @ (^[Y2 : a]: 127.47/16.60 (((??) @ (^[Y3 : a > $o]: 127.47/16.60 (((Y1 @ Y3) & 127.47/16.60 (((!!) @ ( 127.47/16.60 ^[Y4 : a > $o]: 127.47/16.60 (((( 127.47/16.60 (Y4 @ 127.47/16.60 Y2) & 127.47/16.60 (Y1 @ Y4))) => 127.47/16.60 (( 127.47/16.60 (Y4) = 127.47/16.60 (Y3)))))))) & 127.47/16.60 (Y3 @ Y2))))))))) & 127.47/16.60 (((!!) @ (^[Y2 : a > $o]: 127.47/16.60 (((Y0 @ Y2) => 127.47/16.60 (((??) @ (^[Y3 : a]: 127.47/16.60 (Y2 @ Y3))))))))) & 127.47/16.60 (((Y0) != (Y1))))) => 127.47/16.60 (((??) @ (^[Y2 : a]: 127.47/16.60 (((??) @ (^[Y3 : a]: 127.47/16.60 (((((((!!) @ ( 127.47/16.60 ^[Y4 : a > $o]: 127.47/16.60 (((Y1 @ 127.47/16.60 Y4) => 127.47/16.60 (( 127.47/16.60 (( 127.47/16.60 (~) @ ( 127.47/16.60 Y4 @ Y2))) | 127.47/16.60 (( 127.47/16.60 (~) @ ( 127.47/16.60 Y4 @ Y3)))))))))) & 127.47/16.60 (((??) @ ( 127.47/16.60 ^[Y4 : a > $o]: 127.47/16.60 (((Y4 @ Y3) & 127.47/16.60 (Y4 @ Y2) & 127.47/16.60 (Y0 @ Y4)))))))) | 127.47/16.60 (((((!!) @ ( 127.47/16.60 ^[Y4 : a > $o]: 127.47/16.60 (((Y0 @ 127.47/16.60 Y4) => 127.47/16.60 (( 127.47/16.60 (( 127.47/16.60 (~) @ ( 127.47/16.60 Y4 @ Y3))) | 127.47/16.60 (( 127.47/16.60 (~) @ ( 127.47/16.60 Y4 @ Y2)))))))))) & 127.47/16.60 (((??) @ ( 127.47/16.60 ^[Y4 : a > $o]: 127.47/16.60 (((Y1 @ Y4) & 127.47/16.60 (Y4 @ Y2) & 127.47/16.60 (Y4 @ Y3))))))))))))))))))))))))), 127.47/16.60 inference('cnf', [status(esa)], [zf_stmt_0])). 127.47/16.60 thf(zip_derived_cl1, plain, 127.47/16.60 (~ (((!!) @ ((('#B') @ (!!) @ 127.47/16.60 ((('#S') @ ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#B') @ (=>))) @ 127.47/16.60 ((('#S') @ ((('#B') @ ('#S') @ 127.47/16.60 ((('#S') @ ((('#B') @ ( 127.47/16.60 '#C') @ 127.47/16.60 ((('#C') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ((('#C') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 '#B') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 &) @ 127.47/16.60 (( 127.47/16.60 ('#B') @ ( 127.47/16.60 !!) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ??))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#S') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#C') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S'))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S'))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 &))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 !!))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#C') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#B'))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S'))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 =>))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#B') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 &))))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))))))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 =))))))))))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))))) @ 127.47/16.60 ( 127.47/16.60 '#I'))))))))))) @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 !!) @ 127.47/16.60 ((('#C') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 =>))))) @ 127.47/16.60 ( 127.47/16.60 ??))))))))) @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 !!) @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 ??))) @ 127.47/16.60 ((('#C') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S'))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#S') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#B') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 &))))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 !!))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#C') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#B'))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S'))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 =>))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 &))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))))))))))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 =))))))))))))) @ 127.47/16.60 (( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))))))))) @ 127.47/16.60 ((('#B') @ (!!) @ 127.47/16.60 ((('#C') @ ((('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 =>))))) @ 127.47/16.60 (??))))))))) @ 127.47/16.60 (!=))))))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (??))) @ 127.47/16.60 ((('#B') @ ((('#B') @ ((('#B') @ (??))))) @ 127.47/16.60 ((('#S') @ ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#B') @ ('#S'))) @ 127.47/16.60 ((('#B') @ ((('#B') @ ((('#B') @ ( 127.47/16.60 '#S'))))) @ 127.47/16.60 ((('#B') @ ((('#B') @ ((('#B') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 |))))))) @ 127.47/16.60 ((('#B') @ ((('#C') @ ((('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 (( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S'))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 &))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 !!))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#B') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#B') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 =>))))))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#B') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 |))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ~))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))))))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ~))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))))))))))))))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (( 127.47/16.60 ('#B') @ ( 127.47/16.60 ??))))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ( 127.47/16.60 '#C') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 '#S'))) @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 (('#C') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 &))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))))) @ 127.47/16.60 ((('#C') @ ( 127.47/16.60 '#I'))))))))))))))))))))))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ('#B') @ 127.47/16.60 ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#B') @ ('#S'))) @ 127.47/16.60 ((('#B') @ ((('#B') @ ((('#B') @ ( 127.47/16.60 &))))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (( 127.47/16.60 ('#B') @ ( 127.47/16.60 !!))))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ( 127.47/16.60 '#B') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 '#B') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 =>))))))))) @ 127.47/16.60 ((('#B') @ ((('#C') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 |))) @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 ~))) @ 127.47/16.60 (( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))))))) @ 127.47/16.60 ((('#B') @ 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((('#B') @ ((('#B') @ (&))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (!!))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ( 127.47/16.60 '#B') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 (( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 =>))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#S') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 &) @ 127.47/16.60 '#sk1')))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))))))) @ 127.47/16.60 ((('#C') @ (=))))))))))) @ 127.47/16.60 ((('#C') @ ('#I'))))))) @ 127.47/16.60 '#sk1')))))) & 127.47/16.60 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @ (??))))) & 127.47/16.60 (((!!) @ ((('#B') @ (??) @ 127.47/16.60 ((('#S') @ ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#S') @ ((('#B') @ ( 127.47/16.60 &) @ '#sk2')))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (!!))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ('#B') @ 127.47/16.60 ((('#B') @ 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127.47/16.60 ((('#B') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (!!))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ('#B') @ 127.47/16.60 ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#B') @ (=>))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 &))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))) @ 127.47/16.60 '#sk2')))))))) @ 127.47/16.60 ((('#C') @ (=))))))))))) @ 127.47/16.60 ((('#C') @ ('#I'))))))))) & 127.47/16.60 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk1')) @ (??))))) & 127.47/16.60 ((('#sk1') != ('#sk2')))))), 127.47/16.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 127.47/16.60 thf(zip_derived_cl6, plain, 127.47/16.60 ( (((!!) @ ((('#B') @ (??) @ 127.47/16.60 ((('#C') @ ((('#B') @ ('#S') @ 127.47/16.60 ((('#S') @ ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#B') @ (&))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (!!))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ( 127.47/16.60 '#B') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 =>))) @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 (('#S') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 &) @ 127.47/16.60 '#sk1')))) @ 127.47/16.60 ((('#C') @ ( 127.47/16.60 '#I'))))))))))) @ 127.47/16.60 ((('#C') @ (=))))))))))) @ 127.47/16.60 ((('#C') @ ('#I'))))))) @ 127.47/16.60 '#sk1'))))))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 127.47/16.60 thf(zip_derived_cl12, plain, 127.47/16.60 (![X2 : a]: 127.47/16.60 (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#B') @ (!!) @ 127.47/16.60 ((('#B') @ ((('#S') @ ((('#B') @ ( 127.47/16.60 =>) @ 127.47/16.60 (( 127.47/16.60 ('#S') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 &) @ 127.47/16.60 '#sk1')) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I') @ 127.47/16.60 X2)))))))) @ 127.47/16.60 ((('#C') @ (=))))))))) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 '#sk1'))))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 127.47/16.60 thf(zip_derived_cl18, plain, 127.47/16.60 (![X2 : a]: 127.47/16.60 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ 127.47/16.60 ((('#S') @ ((('#B') @ (&) @ '#sk1')) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))))) @ 127.47/16.60 ((('#C') @ (=) @ ('#sk3' @ X2))))))) & 127.47/16.60 ('#sk3' @ X2 @ X2) & ('#sk1' @ ('#sk3' @ X2))))), 127.47/16.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 127.47/16.60 thf(zip_derived_cl24, plain, 127.47/16.60 (![X2 : a]: 127.47/16.60 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 127.47/16.60 ((('#S') @ ((('#B') @ (&) @ '#sk1')) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))))) @ 127.47/16.60 ((('#C') @ (=) @ ('#sk3' @ X2)))))))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 127.47/16.60 thf(zip_derived_cl34, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 ((((('#sk1' @ X4) & (X4 @ X2))) => (((X4) = ('#sk3' @ X2)))))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 127.47/16.60 thf(zip_derived_cl38, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ ((('#sk1' @ X4) & (X4 @ X2))) | (((X4) = ('#sk3' @ X2))))), 127.47/16.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])). 127.47/16.60 thf(zip_derived_cl44, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ ((('#sk1' @ X4) & (X4 @ X2))) | ((X4) = ('#sk3' @ X2)))), 127.47/16.60 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 127.47/16.60 thf(zip_derived_cl45, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ ('#sk1' @ X4) | ~ (X4 @ X2) | ((X4) = ('#sk3' @ X2)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 127.47/16.60 thf(zip_derived_cl9, plain, 127.47/16.60 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk1')) @ (??)))))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 127.47/16.60 thf(zip_derived_cl15, plain, 127.47/16.60 (![X2 : a > $o]: ((('#sk1' @ X2) => (((??) @ X2))))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 127.47/16.60 thf(zip_derived_cl21, plain, 127.47/16.60 (![X2 : a > $o]: (~ ('#sk1' @ X2) | (((??) @ X2)))), 127.47/16.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 127.47/16.60 thf(zip_derived_cl31, plain, 127.47/16.60 (![X2 : a > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ ('#sk1' @ X2))), 127.47/16.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 127.47/16.60 thf(zip_derived_cl220, plain, 127.47/16.60 (![X0 : a, X1 : a > $o]: 127.47/16.60 ( (X1 @ ('#sk5' @ ('#sk3' @ X0))) 127.47/16.60 | ~ (X1 @ X0) 127.47/16.60 | ~ ('#sk1' @ X1) 127.47/16.60 | ~ ('#sk1' @ X1))), 127.47/16.60 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl31])). 127.47/16.60 thf(zip_derived_cl266, plain, 127.47/16.60 (![X0 : a, X1 : a > $o]: 127.47/16.60 (~ ('#sk1' @ X1) | ~ (X1 @ X0) | (X1 @ ('#sk5' @ ('#sk3' @ X0))))), 127.47/16.60 inference('simplify', [status(thm)], [zip_derived_cl220])). 127.47/16.60 thf(zip_derived_cl5, plain, 127.47/16.60 (~ (((??) @ ((('#B') @ (??) @ 127.47/16.60 ((('#S') @ ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#B') @ (|))) @ 127.47/16.60 ((('#S') @ ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#B') @ (&))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (!!))) @ 127.47/16.60 ((('#B') @ ((('#B') @ ( 127.47/16.60 (('#S') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 =>) @ '#sk2')))))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ( 127.47/16.60 '#B') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 (( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 |))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 ~))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))))))) @ 127.47/16.60 ((('#B') @ ((('#B') @ ( 127.47/16.60 ~))) @ 127.47/16.60 ((('#C') @ ('#I'))))))))))))))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (??))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ('#C') @ 127.47/16.60 ((('#B') @ ((('#B') @ ( 127.47/16.60 '#S'))) @ 127.47/16.60 ((('#B') @ ((('#C') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 ( 127.47/16.60 ('#B') @ ( 127.47/16.60 &))) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))))) @ 127.47/16.60 ((('#C') @ ('#I'))))))))) @ 127.47/16.60 '#sk1')))))))))) @ 127.47/16.60 ((('#S') @ ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#B') @ (&))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (!!))) @ 127.47/16.60 ((('#B') @ ((('#B') @ ((('#S') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 =>) @ '#sk1')))))) @ 127.47/16.60 ((('#B') @ ((('#C') @ ((('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 |))) @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 ~))) @ 127.47/16.60 (( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I'))))))))))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (~))) @ 127.47/16.60 ((('#C') @ ('#I'))))))))))))))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (??))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ('#B') @ 127.47/16.60 ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#S') @ ((('#B') @ ( 127.47/16.60 &) @ '#sk2')))) @ 127.47/16.60 ((('#C') @ ('#I'))))))))) @ 127.47/16.60 ((('#C') @ ('#I')))))))))))))))), 127.47/16.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 127.47/16.60 thf(zip_derived_cl11, plain, 127.47/16.60 (![X2 : a]: 127.47/16.60 ~ (((??) @ ((('#S') @ ((('#B') @ (|) @ 127.47/16.60 ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#B') @ (!!) @ 127.47/16.60 ((('#B') @ ((('#S') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 =>) @ '#sk2')))) @ 127.47/16.60 ((('#B') @ ((('#S') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 |) @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 ~) @ 127.47/16.60 ((('#C') @ ( 127.47/16.60 '#I') @ X2)))))))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (~))) @ 127.47/16.60 ((('#C') @ ('#I'))))))))))))) @ 127.47/16.60 ((('#B') @ (??) @ 127.47/16.60 ((('#C') @ ((('#B') @ ('#S') @ 127.47/16.60 ((('#C') @ ((('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 (('#B') @ (&))) @ 127.47/16.60 ((('#C') @ ( 127.47/16.60 '#I'))))))) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))))) @ 127.47/16.60 '#sk1')))))))) @ 127.47/16.60 ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#B') @ (!!) @ 127.47/16.60 ((('#B') @ ((('#S') @ ((('#B') @ ( 127.47/16.60 =>) @ '#sk1')))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#B') @ (|))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (~))) @ 127.47/16.60 ((('#C') @ ('#I'))))))))) @ 127.47/16.60 ((('#B') @ (~) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))))))))))) @ 127.47/16.60 ((('#B') @ (??) @ 127.47/16.60 ((('#B') @ ((('#S') @ ((('#S') @ ((('#B') @ ( 127.47/16.60 &) @ '#sk2')) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))))) @ 127.47/16.60 ((('#C') @ ('#I')))))))))))))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 127.47/16.60 thf(zip_derived_cl17, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 ~ (((((((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @ 127.47/16.60 ((('#S') @ ((('#B') @ (|) @ 127.47/16.60 ((('#B') @ (~) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))))) @ 127.47/16.60 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X4)))))))))) & 127.47/16.60 (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 '#sk1')))))) | 127.47/16.60 (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk1')) @ 127.47/16.60 ((('#S') @ ((('#B') @ (|) @ 127.47/16.60 ((('#B') @ (~) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))))) @ 127.47/16.60 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X2)))))))))) & 127.47/16.60 (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X4))))))))))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 127.47/16.60 thf(zip_derived_cl22, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 ~ (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @ 127.47/16.60 ((('#S') @ ((('#B') @ (|) @ 127.47/16.60 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X2)))))) @ 127.47/16.60 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X4)))))))))) & 127.47/16.60 (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 '#sk1'))))))), 127.47/16.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])). 127.47/16.60 thf(zip_derived_cl32, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @ 127.47/16.60 ((('#S') @ ((('#B') @ (|) @ 127.47/16.60 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X2)))))) @ 127.47/16.60 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X4)))))))))) 127.47/16.60 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 '#sk1')))))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl22])). 127.47/16.60 thf(zip_derived_cl36, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 (~ ((('#sk2' @ ('#sk6' @ X2 @ X4)) => 127.47/16.60 (((((~) @ ('#sk6' @ X2 @ X4 @ X2))) | 127.47/16.60 (((~) @ ('#sk6' @ X2 @ X4 @ X4))))))) 127.47/16.60 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 '#sk1')))))), 127.47/16.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl32])). 127.47/16.60 thf(zip_derived_cl41, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 (~ (((((~) @ ('#sk6' @ X2 @ X4 @ X2))) | 127.47/16.60 (((~) @ ('#sk6' @ X2 @ X4 @ X4))))) 127.47/16.60 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 '#sk1')))))), 127.47/16.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 127.47/16.60 thf(zip_derived_cl49, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 ( ('#sk6' @ X2 @ X4 @ X2) 127.47/16.60 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 '#sk1')))))), 127.47/16.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl41])). 127.47/16.60 thf(zip_derived_cl55, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ (((X6 @ X4) & (X6 @ X2) & ('#sk1' @ X6))) 127.47/16.60 | ('#sk6' @ X2 @ X4 @ X2))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl49])). 127.47/16.60 thf(zip_derived_cl60, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ (X6 @ X4) 127.47/16.60 | ~ (X6 @ X2) 127.47/16.60 | ~ ('#sk1' @ X6) 127.47/16.60 | ('#sk6' @ X2 @ X4 @ X2))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 127.47/16.60 thf(zip_derived_cl50, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 ( ('#sk6' @ X2 @ X4 @ X4) 127.47/16.60 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 '#sk1')))))), 127.47/16.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl41])). 127.47/16.60 thf(zip_derived_cl56, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ (((X6 @ X4) & (X6 @ X2) & ('#sk1' @ X6))) 127.47/16.60 | ('#sk6' @ X2 @ X4 @ X4))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl50])). 127.47/16.60 thf(zip_derived_cl61, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ (X6 @ X4) 127.47/16.60 | ~ (X6 @ X2) 127.47/16.60 | ~ ('#sk1' @ X6) 127.47/16.60 | ('#sk6' @ X2 @ X4 @ X4))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 127.47/16.60 thf(zip_derived_cl40, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 ( ('#sk2' @ ('#sk6' @ X2 @ X4)) 127.47/16.60 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 '#sk1')))))), 127.47/16.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 127.47/16.60 thf(zip_derived_cl48, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ (((X6 @ X4) & (X6 @ X2) & ('#sk1' @ X6))) 127.47/16.60 | ('#sk2' @ ('#sk6' @ X2 @ X4)))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl40])). 127.47/16.60 thf(zip_derived_cl54, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ (X6 @ X4) 127.47/16.60 | ~ (X6 @ X2) 127.47/16.60 | ~ ('#sk1' @ X6) 127.47/16.60 | ('#sk2' @ ('#sk6' @ X2 @ X4)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl48])). 127.47/16.60 thf(zip_derived_cl45, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ ('#sk1' @ X4) | ~ (X4 @ X2) | ((X4) = ('#sk3' @ X2)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 127.47/16.60 thf(zip_derived_cl45, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ ('#sk1' @ X4) | ~ (X4 @ X2) | ((X4) = ('#sk3' @ X2)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 127.47/16.60 thf(zip_derived_cl217, plain, 127.47/16.60 (![X0 : a > $o, X1 : a > $o, X2 : a]: 127.47/16.60 (((X1) = (X0)) 127.47/16.60 | ~ (X0 @ X2) 127.47/16.60 | ~ ('#sk1' @ X0) 127.47/16.60 | ~ (X1 @ X2) 127.47/16.60 | ~ ('#sk1' @ X1))), 127.47/16.60 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl45])). 127.47/16.60 thf(zip_derived_cl7523, plain, 127.47/16.60 (![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 127.47/16.60 (((X1 @ X3) = (X0 @ X3)) 127.47/16.60 | ~ ('#sk1' @ X1) 127.47/16.60 | ~ (X1 @ X2) 127.47/16.60 | ~ ('#sk1' @ X0) 127.47/16.60 | ~ (X0 @ X2))), 127.47/16.60 inference('ho_complete_eq', [status(thm)], [zip_derived_cl217])). 127.47/16.60 thf(zip_derived_cl31, plain, 127.47/16.60 (![X2 : a > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ ('#sk1' @ X2))), 127.47/16.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 127.47/16.60 thf(zip_derived_cl45, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ ('#sk1' @ X4) | ~ (X4 @ X2) | ((X4) = ('#sk3' @ X2)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 127.47/16.60 thf(zip_derived_cl237, plain, 127.47/16.60 (![X0 : a > $o]: 127.47/16.60 (~ ('#sk1' @ X0) | ((X0) = ('#sk3' @ ('#sk5' @ X0))) | ~ ('#sk1' @ X0))), 127.47/16.60 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl45])). 127.47/16.60 thf(zip_derived_cl260, plain, 127.47/16.60 (![X0 : a > $o]: (((X0) = ('#sk3' @ ('#sk5' @ X0))) | ~ ('#sk1' @ X0))), 127.47/16.60 inference('simplify', [status(thm)], [zip_derived_cl237])). 127.47/16.60 thf(zip_derived_cl284, plain, 127.47/16.60 (![X0 : a > $o, X1 : a]: 127.47/16.60 (((X0 @ X1) = ('#sk3' @ ('#sk5' @ X0) @ X1)) | ~ ('#sk1' @ X0))), 127.47/16.60 inference('ho_complete_eq', [status(thm)], [zip_derived_cl260])). 127.47/16.60 thf(zip_derived_cl1709, plain, 127.47/16.60 (![X0 : a > $o, X1 : a]: 127.47/16.60 ( (X0 @ X1) | ~ ('#sk3' @ ('#sk5' @ X0) @ X1) | ~ ('#sk1' @ X0))), 127.47/16.60 inference('eq_elim', [status(thm)], [zip_derived_cl284])). 127.47/16.60 thf(zip_derived_cl8, plain, 127.47/16.60 ( (((!!) @ ((('#B') @ (??) @ 127.47/16.60 ((('#S') @ ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')))) @ 127.47/16.60 ((('#B') @ ((('#B') @ (!!))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ('#B') @ 127.47/16.60 ((('#B') @ ('#S') @ 127.47/16.60 ((('#B') @ ((('#B') @ (=>))) @ 127.47/16.60 ((('#C') @ ((('#B') @ ( 127.47/16.60 '#S') @ 127.47/16.60 ((('#B') @ ( 127.47/16.60 (('#B') @ ( 127.47/16.60 &))) @ 127.47/16.60 ((('#C') @ ( 127.47/16.60 '#I'))))))) @ 127.47/16.60 '#sk2')))))))) @ 127.47/16.60 ((('#C') @ (=))))))))))) @ 127.47/16.60 ((('#C') @ ('#I')))))))))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 127.47/16.60 thf(zip_derived_cl14, plain, 127.47/16.60 (![X2 : a]: 127.47/16.60 (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')) @ 127.47/16.60 ((('#B') @ (!!) @ 127.47/16.60 ((('#B') @ ((('#S') @ ((('#B') @ (=>) @ 127.47/16.60 ((('#S') @ (( 127.47/16.60 ('#B') @ ( 127.47/16.60 &) @ 127.47/16.60 ( 127.47/16.60 ( 127.47/16.60 ('#C') @ ( 127.47/16.60 '#I') @ 127.47/16.60 X2)))) @ 127.47/16.60 '#sk2')))))) @ 127.47/16.60 ((('#C') @ (=))))))))) @ 127.47/16.60 ((('#C') @ ('#I') @ X2))))))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 127.47/16.60 thf(zip_derived_cl20, plain, 127.47/16.60 (![X2 : a]: 127.47/16.60 ((('#sk2' @ ('#sk4' @ X2)) & 127.47/16.60 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 127.47/16.60 ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 '#sk2')))) @ 127.47/16.60 ((('#C') @ (=) @ ('#sk4' @ X2))))))) & 127.47/16.60 ('#sk4' @ X2 @ X2)))), 127.47/16.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])). 127.47/16.60 thf(zip_derived_cl29, plain, 127.47/16.60 (![X2 : a]: 127.47/16.60 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 127.47/16.60 ((('#S') @ ((('#B') @ (&) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 '#sk2')))) @ 127.47/16.60 ((('#C') @ (=) @ ('#sk4' @ X2)))))))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 127.47/16.60 thf(zip_derived_cl35, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (((((X4 @ X2) & ('#sk2' @ X4))) => (((X4) = ('#sk4' @ X2)))))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 127.47/16.60 thf(zip_derived_cl39, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ (((X4 @ X2) & ('#sk2' @ X4))) | (((X4) = ('#sk4' @ X2))))), 127.47/16.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])). 127.47/16.60 thf(zip_derived_cl46, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ (((X4 @ X2) & ('#sk2' @ X4))) | ((X4) = ('#sk4' @ X2)))), 127.47/16.60 inference('simplify nested equalities', [status(thm)], [zip_derived_cl39])). 127.47/16.60 thf(zip_derived_cl47, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ (X4 @ X2) | ~ ('#sk2' @ X4) | ((X4) = ('#sk4' @ X2)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 127.47/16.60 thf(zip_derived_cl7, plain, 127.47/16.60 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @ (??)))))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 127.47/16.60 thf(zip_derived_cl13, plain, 127.47/16.60 (![X2 : a > $o]: ((('#sk2' @ X2) => (((??) @ X2))))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 127.47/16.60 thf(zip_derived_cl19, plain, 127.47/16.60 (![X2 : a > $o]: (~ ('#sk2' @ X2) | (((??) @ X2)))), 127.47/16.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])). 127.47/16.60 thf(zip_derived_cl27, plain, 127.47/16.60 (![X2 : a > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ ('#sk2' @ X2))), 127.47/16.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 127.47/16.60 thf(zip_derived_cl298, plain, 127.47/16.60 (![X0 : a, X1 : a > $o]: 127.47/16.60 ( (X1 @ ('#sk5' @ ('#sk4' @ X0))) 127.47/16.60 | ~ ('#sk2' @ X1) 127.47/16.60 | ~ (X1 @ X0) 127.47/16.60 | ~ ('#sk2' @ X1))), 127.47/16.60 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl27])). 127.47/16.60 thf(zip_derived_cl350, plain, 127.47/16.60 (![X0 : a, X1 : a > $o]: 127.47/16.60 (~ (X1 @ X0) | ~ ('#sk2' @ X1) | (X1 @ ('#sk5' @ ('#sk4' @ X0))))), 127.47/16.60 inference('simplify', [status(thm)], [zip_derived_cl298])). 127.47/16.60 thf(zip_derived_cl260, plain, 127.47/16.60 (![X0 : a > $o]: (((X0) = ('#sk3' @ ('#sk5' @ X0))) | ~ ('#sk1' @ X0))), 127.47/16.60 inference('simplify', [status(thm)], [zip_derived_cl237])). 127.47/16.60 thf(zip_derived_cl25, plain, (![X2 : a]: ('#sk3' @ X2 @ X2)), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 127.47/16.60 thf(zip_derived_cl27, plain, 127.47/16.60 (![X2 : a > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ ('#sk2' @ X2))), 127.47/16.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 127.47/16.60 thf(zip_derived_cl47, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ (X4 @ X2) | ~ ('#sk2' @ X4) | ((X4) = ('#sk4' @ X2)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 127.47/16.60 thf(zip_derived_cl313, plain, 127.47/16.60 (![X0 : a > $o]: 127.47/16.60 (~ ('#sk2' @ X0) | ((X0) = ('#sk4' @ ('#sk5' @ X0))) | ~ ('#sk2' @ X0))), 127.47/16.60 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl47])). 127.47/16.60 thf(zip_derived_cl343, plain, 127.47/16.60 (![X0 : a > $o]: (((X0) = ('#sk4' @ ('#sk5' @ X0))) | ~ ('#sk2' @ X0))), 127.47/16.60 inference('simplify', [status(thm)], [zip_derived_cl313])). 127.47/16.60 thf(zip_derived_cl392, plain, 127.47/16.60 (![X0 : a > $o, X1 : a]: 127.47/16.60 (((X0 @ X1) = ('#sk4' @ ('#sk5' @ X0) @ X1)) | ~ ('#sk2' @ X0))), 127.47/16.60 inference('ho_complete_eq', [status(thm)], [zip_derived_cl343])). 127.47/16.60 thf(zip_derived_cl3320, plain, 127.47/16.60 (![X0 : a > $o, X1 : a]: 127.47/16.60 (~ (X0 @ X1) | ('#sk4' @ ('#sk5' @ X0) @ X1) | ~ ('#sk2' @ X0))), 127.47/16.60 inference('eq_elim', [status(thm)], [zip_derived_cl392])). 127.47/16.60 thf(zip_derived_cl31, plain, 127.47/16.60 (![X2 : a > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ ('#sk1' @ X2))), 127.47/16.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 127.47/16.60 thf(zip_derived_cl10, plain, ( ((('#sk1') != ('#sk2')))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 127.47/16.60 thf(zip_derived_cl16, plain, ((('#sk1') != ('#sk2'))), 127.47/16.60 inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])). 127.47/16.60 thf(zip_derived_cl47, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ (X4 @ X2) | ~ ('#sk2' @ X4) | ((X4) = ('#sk4' @ X2)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 127.47/16.60 thf(zip_derived_cl47, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ (X4 @ X2) | ~ ('#sk2' @ X4) | ((X4) = ('#sk4' @ X2)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 127.47/16.60 thf(zip_derived_cl297, plain, 127.47/16.60 (![X0 : a > $o, X1 : a > $o, X2 : a]: 127.47/16.60 (((X1) = (X0)) 127.47/16.60 | ~ ('#sk2' @ X0) 127.47/16.60 | ~ (X0 @ X2) 127.47/16.60 | ~ ('#sk2' @ X1) 127.47/16.60 | ~ (X1 @ X2))), 127.47/16.60 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl47])). 127.47/16.60 thf(zip_derived_cl9874, plain, 127.47/16.60 (![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 127.47/16.60 (((X1 @ X3) = (X0 @ X3)) 127.47/16.60 | ~ (X1 @ X2) 127.47/16.60 | ~ ('#sk2' @ X1) 127.47/16.60 | ~ (X0 @ X2) 127.47/16.60 | ~ ('#sk2' @ X0))), 127.47/16.60 inference('ho_complete_eq', [status(thm)], [zip_derived_cl297])). 127.47/16.60 thf(zip_derived_cl27, plain, 127.47/16.60 (![X2 : a > $o]: ( (X2 @ ('#sk5' @ X2)) | ~ ('#sk2' @ X2))), 127.47/16.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 127.47/16.60 thf(zip_derived_cl30, plain, (![X2 : a]: ('#sk4' @ X2 @ X2)), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 127.47/16.60 thf(zip_derived_cl23, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 ~ (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk1')) @ 127.47/16.60 ((('#S') @ ((('#B') @ (|) @ 127.47/16.60 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X4)))))) @ 127.47/16.60 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X2)))))))))) & 127.47/16.60 (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X4))))))))), 127.47/16.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])). 127.47/16.60 thf(zip_derived_cl33, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk1')) @ 127.47/16.60 ((('#S') @ ((('#B') @ (|) @ 127.47/16.60 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X4)))))) @ 127.47/16.60 ((('#B') @ (~) @ ((('#C') @ ('#I') @ X2)))))))))) 127.47/16.60 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))))))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 127.47/16.60 thf(zip_derived_cl37, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 (~ ((('#sk1' @ ('#sk7' @ X2 @ X4)) => 127.47/16.60 (((((~) @ ('#sk7' @ X2 @ X4 @ X4))) | 127.47/16.60 (((~) @ ('#sk7' @ X2 @ X4 @ X2))))))) 127.47/16.60 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))))))), 127.47/16.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl33])). 127.47/16.60 thf(zip_derived_cl43, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 (~ (((((~) @ ('#sk7' @ X2 @ X4 @ X4))) | 127.47/16.60 (((~) @ ('#sk7' @ X2 @ X4 @ X2))))) 127.47/16.60 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))))))), 127.47/16.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])). 127.47/16.60 thf(zip_derived_cl52, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 ( ('#sk7' @ X2 @ X4 @ X4) 127.47/16.60 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))))))), 127.47/16.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl43])). 127.47/16.60 thf(zip_derived_cl58, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ ((('#sk2' @ X6) & (X6 @ X2) & (X6 @ X4))) 127.47/16.60 | ('#sk7' @ X2 @ X4 @ X4))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl52])). 127.47/16.60 thf(zip_derived_cl62, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ ('#sk2' @ X6) 127.47/16.60 | ~ (X6 @ X2) 127.47/16.60 | ~ (X6 @ X4) 127.47/16.60 | ('#sk7' @ X2 @ X4 @ X4))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl58])). 127.47/16.60 thf(zip_derived_cl1820, plain, 127.47/16.60 (![X0 : a, X1 : a]: 127.47/16.60 ( ('#sk7' @ X0 @ X1 @ X1) 127.47/16.60 | ~ ('#sk4' @ X0 @ X1) 127.47/16.60 | ~ ('#sk2' @ ('#sk4' @ X0)))), 127.47/16.60 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl62])). 127.47/16.60 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk2' @ ('#sk4' @ X2))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 127.47/16.60 thf(zip_derived_cl1909, plain, 127.47/16.60 (![X0 : a, X1 : a]: ( ('#sk7' @ X0 @ X1 @ X1) | ~ ('#sk4' @ X0 @ X1))), 127.47/16.60 inference('demod', [status(thm)], [zip_derived_cl1820, zip_derived_cl28])). 127.47/16.60 thf(zip_derived_cl30, plain, (![X2 : a]: ('#sk4' @ X2 @ X2)), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 127.47/16.60 thf(zip_derived_cl53, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 ( ('#sk7' @ X2 @ X4 @ X2) 127.47/16.60 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))))))), 127.47/16.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl43])). 127.47/16.60 thf(zip_derived_cl59, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ ((('#sk2' @ X6) & (X6 @ X2) & (X6 @ X4))) 127.47/16.60 | ('#sk7' @ X2 @ X4 @ X2))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl53])). 127.47/16.60 thf(zip_derived_cl63, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ ('#sk2' @ X6) 127.47/16.60 | ~ (X6 @ X2) 127.47/16.60 | ~ (X6 @ X4) 127.47/16.60 | ('#sk7' @ X2 @ X4 @ X2))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 127.47/16.60 thf(zip_derived_cl2355, plain, 127.47/16.60 (![X0 : a, X1 : a]: 127.47/16.60 ( ('#sk7' @ X1 @ X0 @ X1) 127.47/16.60 | ~ ('#sk4' @ X0 @ X1) 127.47/16.60 | ~ ('#sk2' @ ('#sk4' @ X0)))), 127.47/16.60 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl63])). 127.47/16.60 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk2' @ ('#sk4' @ X2))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 127.47/16.60 thf(zip_derived_cl2426, plain, 127.47/16.60 (![X0 : a, X1 : a]: ( ('#sk7' @ X1 @ X0 @ X1) | ~ ('#sk4' @ X0 @ X1))), 127.47/16.60 inference('demod', [status(thm)], [zip_derived_cl2355, zip_derived_cl28])). 127.47/16.60 thf(zip_derived_cl30, plain, (![X2 : a]: ('#sk4' @ X2 @ X2)), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 127.47/16.60 thf(zip_derived_cl62, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ ('#sk2' @ X6) 127.47/16.60 | ~ (X6 @ X2) 127.47/16.60 | ~ (X6 @ X4) 127.47/16.60 | ('#sk7' @ X2 @ X4 @ X4))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl58])). 127.47/16.60 thf(zip_derived_cl30, plain, (![X2 : a]: ('#sk4' @ X2 @ X2)), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 127.47/16.60 thf(zip_derived_cl42, plain, 127.47/16.60 (![X2 : a, X4 : a]: 127.47/16.60 ( ('#sk1' @ ('#sk7' @ X2 @ X4)) 127.47/16.60 | ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ '#sk2')) @ 127.47/16.60 ((('#C') @ ('#I') @ X2)))) @ 127.47/16.60 ((('#C') @ ('#I') @ X4)))))))), 127.47/16.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])). 127.47/16.60 thf(zip_derived_cl51, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ ((('#sk2' @ X6) & (X6 @ X2) & (X6 @ X4))) 127.47/16.60 | ('#sk1' @ ('#sk7' @ X2 @ X4)))), 127.47/16.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl42])). 127.47/16.60 thf(zip_derived_cl57, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ ('#sk2' @ X6) 127.47/16.60 | ~ (X6 @ X2) 127.47/16.60 | ~ (X6 @ X4) 127.47/16.60 | ('#sk1' @ ('#sk7' @ X2 @ X4)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl51])). 127.47/16.60 thf(zip_derived_cl638, plain, 127.47/16.60 (![X0 : a, X1 : a]: 127.47/16.60 ( ('#sk1' @ ('#sk7' @ X0 @ X1)) 127.47/16.60 | ~ ('#sk4' @ X0 @ X1) 127.47/16.60 | ~ ('#sk2' @ ('#sk4' @ X0)))), 127.47/16.60 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl57])). 127.47/16.60 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk2' @ ('#sk4' @ X2))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 127.47/16.60 thf(zip_derived_cl691, plain, 127.47/16.60 (![X0 : a, X1 : a]: 127.47/16.60 ( ('#sk1' @ ('#sk7' @ X0 @ X1)) | ~ ('#sk4' @ X0 @ X1))), 127.47/16.60 inference('demod', [status(thm)], [zip_derived_cl638, zip_derived_cl28])). 127.47/16.60 thf(zip_derived_cl30, plain, (![X2 : a]: ('#sk4' @ X2 @ X2)), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 127.47/16.60 thf(zip_derived_cl57, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ ('#sk2' @ X6) 127.47/16.60 | ~ (X6 @ X2) 127.47/16.60 | ~ (X6 @ X4) 127.47/16.60 | ('#sk1' @ ('#sk7' @ X2 @ X4)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl51])). 127.47/16.60 thf(zip_derived_cl652, plain, 127.47/16.60 (![X0 : a, X1 : a]: 127.47/16.60 ( ('#sk1' @ ('#sk7' @ X1 @ X0)) 127.47/16.60 | ~ ('#sk4' @ X0 @ X1) 127.47/16.60 | ~ ('#sk2' @ ('#sk4' @ X0)))), 127.47/16.60 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl57])). 127.47/16.60 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk2' @ ('#sk4' @ X2))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 127.47/16.60 thf(zip_derived_cl693, plain, 127.47/16.60 (![X0 : a, X1 : a]: 127.47/16.60 ( ('#sk1' @ ('#sk7' @ X1 @ X0)) | ~ ('#sk4' @ X0 @ X1))), 127.47/16.60 inference('demod', [status(thm)], [zip_derived_cl652, zip_derived_cl28])). 127.47/16.60 thf(zip_derived_cl284, plain, 127.47/16.60 (![X0 : a > $o, X1 : a]: 127.47/16.60 (((X0 @ X1) = ('#sk3' @ ('#sk5' @ X0) @ X1)) | ~ ('#sk1' @ X0))), 127.47/16.60 inference('ho_complete_eq', [status(thm)], [zip_derived_cl260])). 127.47/16.60 thf(zip_derived_cl1710, plain, 127.47/16.60 (![X0 : a > $o, X1 : a]: 127.47/16.60 (~ (X0 @ X1) | ('#sk3' @ ('#sk5' @ X0) @ X1) | ~ ('#sk1' @ X0))), 127.47/16.60 inference('eq_elim', [status(thm)], [zip_derived_cl284])). 127.47/16.60 thf(zip_derived_cl26, plain, (![X2 : a]: ('#sk1' @ ('#sk3' @ X2))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 127.47/16.60 thf(zip_derived_cl28, plain, (![X2 : a]: ('#sk2' @ ('#sk4' @ X2))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 127.47/16.60 thf(zip_derived_cl62, plain, 127.47/16.60 (![X2 : a, X4 : a, X6 : a > $o]: 127.47/16.60 (~ ('#sk2' @ X6) 127.47/16.60 | ~ (X6 @ X2) 127.47/16.60 | ~ (X6 @ X4) 127.47/16.60 | ('#sk7' @ X2 @ X4 @ X4))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl58])). 127.47/16.60 thf(zip_derived_cl1877, plain, 127.47/16.60 (![X0 : a > $o, X1 : a]: 127.47/16.60 ( ('#sk7' @ X1 @ X1 @ X1) | ~ (X0 @ X1) | ~ ('#sk2' @ X0))), 127.47/16.60 inference('eq_fact', [status(thm)], [zip_derived_cl62])). 127.47/16.60 thf(zip_derived_cl45, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ ('#sk1' @ X4) | ~ (X4 @ X2) | ((X4) = ('#sk3' @ X2)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 127.47/16.60 thf(zip_derived_cl47, plain, 127.47/16.60 (![X2 : a, X4 : a > $o]: 127.47/16.60 (~ (X4 @ X2) | ~ ('#sk2' @ X4) | ((X4) = ('#sk4' @ X2)))), 127.47/16.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 127.47/16.60 thf(zip_derived_cl16759, plain, ($false), 127.47/16.60 inference('eprover', [status(thm)], 127.47/16.60 [zip_derived_cl266, zip_derived_cl60, zip_derived_cl61, 127.47/16.60 zip_derived_cl54, zip_derived_cl7523, zip_derived_cl1709, 127.47/16.60 zip_derived_cl350, zip_derived_cl260, zip_derived_cl25, 127.47/16.60 zip_derived_cl3320, zip_derived_cl31, zip_derived_cl16, 127.47/16.60 zip_derived_cl9874, zip_derived_cl27, zip_derived_cl1909, 127.47/16.60 zip_derived_cl2426, zip_derived_cl30, zip_derived_cl62, 127.47/16.60 zip_derived_cl691, zip_derived_cl693, zip_derived_cl1710, 127.47/16.60 zip_derived_cl26, zip_derived_cl28, zip_derived_cl1877, 127.47/16.60 zip_derived_cl45, zip_derived_cl47])). 127.47/16.60 127.47/16.60 % SZS output end Refutation 127.47/16.60 127.47/16.60 127.47/16.60 % Terminating... 128.27/16.75 % Runner terminated. 128.27/16.76 % Zipperpin 1.5 exiting 128.27/16.76 EOF