0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JLvjCADXrK true 0.13/0.34 % Computer : n026.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Mon Jul 3 04:27:52 EDT 2023 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 1440 s 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.54/0.63 % Total configuration time : 828 0.54/0.63 % Estimated wc time : 1656 0.54/0.63 % Estimated cpu time (8 cpus) : 207.0 0.55/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.55/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 90.72/11.99 % Solved by lams/40_b.comb.sh. 90.72/11.99 % done 190 iterations in 11.166s 90.72/11.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 90.72/11.99 % SZS output start Refutation 90.72/11.99 thf('#sk9_type', type, '#sk9': (($i > $o) > ($i > $o) > $i > $o) > 90.72/11.99 (($i > $o) > ($i > $o) > $i > $o) > $i). 90.72/11.99 thf('#sk2_type', type, '#sk2': (($i > $o) > ($i > $o) > $i > $o) > 90.72/11.99 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 90.72/11.99 thf('#form10_type', type, '#form10': (($i > $o) > ($i > $o) > $i > $o) > 90.72/11.99 (($i > $o) > ($i > $o) > $i > $o) > $o). 90.72/11.99 thf('#sk1_type', type, '#sk1': (($i > $o) > ($i > $o) > $i > $o) > 90.72/11.99 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 90.72/11.99 thf('#sk4_type', type, '#sk4': (($i > $o) > ($i > $o) > $i > $o) > 90.72/11.99 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 90.72/11.99 thf('#sk7_type', type, '#sk7': (($i > $o) > ($i > $o) > $i > $o) > 90.72/11.99 (($i > $o) > ($i > $o) > $i > $o) > $i). 90.72/11.99 thf('#sk5_type', type, '#sk5': (($i > $o) > ($i > $o) > $i > $o) > 90.72/11.99 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 90.72/11.99 thf('#sk8_type', type, '#sk8': (($i > $o) > ($i > $o) > $i > $o) > 90.72/11.99 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 90.72/11.99 thf('#sk6_type', type, '#sk6': (($i > $o) > ($i > $o) > $i > $o) > 90.72/11.99 (($i > $o) > ($i > $o) > $i > $o) > $i > $o). 90.72/11.99 thf('#sk3_type', type, '#sk3': (($i > $o) > ($i > $o) > $i > $o) > 90.72/11.99 (($i > $o) > ($i > $o) > $i > $o) > $i). 90.72/11.99 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)). 90.72/11.99 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)). 90.72/11.99 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)). 90.72/11.99 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)). 90.72/11.99 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)). 90.72/11.99 thf(cTHM122C_pme, conjecture, 90.72/11.99 (?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ), 90.72/11.99 Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]: 90.72/11.99 ( ( ![Xu:( $i > $o ),Xv:( $i > $o )]: 90.72/11.99 ( ( ![Xw_2:$i]: 90.72/11.99 ( ( Xr_28 @ Xu @ Xv @ Xw_2 ) | ( Xr_27 @ Xu @ Xv @ Xw_2 ) ) ) => 90.72/11.99 ( ![Xz:$i]: ( ( Xu @ Xz ) => ( Xv @ Xz ) ) ) ) ) & 90.72/11.99 ( ![Xx:( $i > $o ),Xw_2:$i]: 90.72/11.99 ( ( Xr_28 @ Xx @ Xx @ Xw_2 ) | ( Xr_27 @ Xx @ Xx @ Xw_2 ) ) ) & 90.72/11.99 ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]: 90.72/11.99 ( ( ( ![Xw_2:$i]: 90.72/11.99 ( ( Xr_27 @ Xy @ Xz @ Xw_2 ) | ( Xr_28 @ Xy @ Xz @ Xw_2 ) ) ) & 90.72/11.99 ( ![Xw_2:$i]: 90.72/11.99 ( ( Xr_27 @ Xx @ Xy @ Xw_2 ) | ( Xr_28 @ Xx @ Xy @ Xw_2 ) ) ) ) => 90.72/11.99 ( ![Xw_2:$i]: 90.72/11.99 ( ( Xr_28 @ Xx @ Xz @ Xw_2 ) | ( Xr_27 @ Xx @ Xz @ Xw_2 ) ) ) ) ) ))). 90.72/11.99 thf(zf_stmt_0, negated_conjecture, 90.72/11.99 (~( ?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ), 90.72/11.99 Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]: 90.72/11.99 ( ( ![Xu:( $i > $o ),Xv:( $i > $o )]: 90.72/11.99 ( ( ![Xw_2:$i]: 90.72/11.99 ( ( Xr_28 @ Xu @ Xv @ Xw_2 ) | ( Xr_27 @ Xu @ Xv @ Xw_2 ) ) ) => 90.72/11.99 ( ![Xz:$i]: ( ( Xu @ Xz ) => ( Xv @ Xz ) ) ) ) ) & 90.72/11.99 ( ![Xx:( $i > $o ),Xw_2:$i]: 90.72/11.99 ( ( Xr_28 @ Xx @ Xx @ Xw_2 ) | ( Xr_27 @ Xx @ Xx @ Xw_2 ) ) ) & 90.72/11.99 ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]: 90.72/11.99 ( ( ( ![Xw_2:$i]: 90.72/11.99 ( ( Xr_27 @ Xy @ Xz @ Xw_2 ) | ( Xr_28 @ Xy @ Xz @ Xw_2 ) ) ) & 90.72/11.99 ( ![Xw_2:$i]: 90.72/11.99 ( ( Xr_27 @ Xx @ Xy @ Xw_2 ) | ( Xr_28 @ Xx @ Xy @ Xw_2 ) ) ) ) => 90.72/11.99 ( ![Xw_2:$i]: 90.72/11.99 ( ( Xr_28 @ Xx @ Xz @ Xw_2 ) | ( Xr_27 @ Xx @ Xz @ Xw_2 ) ) ) ) ) ) )), 90.72/11.99 inference('cnf.neg', [status(esa)], [cTHM122C_pme])). 90.72/11.99 thf(zip_derived_cl0, plain, 90.72/11.99 (~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (((??) @ (^[Y1 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (((((!!) @ (^[Y2 : $i > $o]: 90.72/11.99 (((!!) @ (^[Y3 : $i > $o]: 90.72/11.99 (((((!!) @ ( 90.72/11.99 ^[Y4 : $i]: 90.72/11.99 (((Y0 @ Y2 @ 90.72/11.99 Y3 @ Y4) | 90.72/11.99 (Y1 @ Y2 @ 90.72/11.99 Y3 @ Y4)))))) => 90.72/11.99 (((!!) @ ( 90.72/11.99 ^[Y4 : $i]: 90.72/11.99 (((Y2 @ Y4) => 90.72/11.99 (Y3 @ Y4)))))))))))))) & 90.72/11.99 (((!!) @ (^[Y2 : $i > $o]: 90.72/11.99 (((!!) @ (^[Y3 : $i]: 90.72/11.99 (((Y0 @ Y2 @ Y2 @ 90.72/11.99 Y3) | (Y1 @ Y2 @ 90.72/11.99 Y2 @ Y3))))))))) & 90.72/11.99 (((!!) @ (^[Y2 : $i > $o]: 90.72/11.99 (((!!) @ (^[Y3 : $i > $o]: 90.72/11.99 (((!!) @ (^[Y4 : $i > $o]: 90.72/11.99 (( 90.72/11.99 (( 90.72/11.99 (( 90.72/11.99 (!!) @ ( 90.72/11.99 ^[Y5 : $i]: 90.72/11.99 (( 90.72/11.99 (Y1 @ 90.72/11.99 Y3 @ 90.72/11.99 Y4 @ 90.72/11.99 Y5) | 90.72/11.99 (Y0 @ 90.72/11.99 Y3 @ 90.72/11.99 Y4 @ Y5)))))) & 90.72/11.99 (( 90.72/11.99 (!!) @ ( 90.72/11.99 ^[Y5 : $i]: 90.72/11.99 (( 90.72/11.99 (Y1 @ 90.72/11.99 Y2 @ 90.72/11.99 Y3 @ 90.72/11.99 Y5) | 90.72/11.99 (Y0 @ 90.72/11.99 Y2 @ 90.72/11.99 Y3 @ Y5)))))))) => 90.72/11.99 (( 90.72/11.99 (!!) @ ( 90.72/11.99 ^[Y5 : $i]: 90.72/11.99 (( 90.72/11.99 (Y0 @ 90.72/11.99 Y2 @ 90.72/11.99 Y4 @ 90.72/11.99 Y5) | 90.72/11.99 (Y1 @ 90.72/11.99 Y2 @ 90.72/11.99 Y4 @ Y5)))))))))))))))))))))))))), 90.72/11.99 inference('cnf', [status(esa)], [zf_stmt_0])). 90.72/11.99 thf(zip_derived_cl1, plain, 90.72/11.99 (~ (((??) @ ((('#B') @ (??) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (&))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ( 90.72/11.99 (('#B') @ (!!))))) @ 90.72/11.99 ((('#C') @ ((('#B') @ ( 90.72/11.99 '#C') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))))) @ 90.72/11.99 (( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 =>))))))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))))))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))))))))))))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ( 90.72/11.99 !!))) @ 90.72/11.99 ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ (=>))))))))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 90.72/11.99 ((('#C') @ ((('#B') @ ('#B') @ 90.72/11.99 ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 ((('#C') @ ('#S') @ 90.72/11.99 ('#I'))))))))))) @ 90.72/11.99 ((('#C') @ ('#S') @ ('#I'))))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (!!))))))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 '#C'))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 '#S'))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 =>))))))))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 '#B'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 '#C'))))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 &))))))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))))))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#C') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))))))))))))))))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ (!!))))))) @ 90.72/11.99 ((('#C') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))))))))))))))))))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ((('#B') @ (!!))))))) @ 90.72/11.99 ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ('#S'))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (|)))))))))))))))))))))))))))))), 90.72/11.99 inference('lams2combs', [status(thm)], [zip_derived_cl0])). 90.72/11.99 thf(zip_derived_cl2, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ~ (((??) @ ((('#S') @ ((('#S') @ ((('#B') @ (&) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#C') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 =>))))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 !!))))) @ 90.72/11.99 ((('#S') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ (=>))))))))))))))) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#B') @ ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ 90.72/11.99 ('#I'))))))))) @ 90.72/11.99 ((('#C') @ ('#S') @ ('#I'))))))))))) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#C'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 '#S'))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 =>))))))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#B') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 '#C'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 &))))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 !!))))) @ 90.72/11.99 ((('#C') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))))))))))) @ 90.72/11.99 X2)))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ( 90.72/11.99 (('#B') @ (!!))))) @ 90.72/11.99 ((('#C') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 '#S'))))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))))))))))) @ 90.72/11.99 X2)))))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (!!))))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2))))))))))))))))))))))), 90.72/11.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 90.72/11.99 thf(zip_derived_cl3, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i 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@ (=>))))) @ 90.72/11.99 ((('#B') @ ((('#S') @ ((('#B') @ ( 90.72/11.99 '#C') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 &))) @ 90.72/11.99 (( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#S') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ (|))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))) @ 90.72/11.99 X4))))))))))))))), 90.72/11.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 90.72/11.99 thf(zip_derived_cl4, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (=>))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))) @ 90.72/11.99 X4)))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#B') @ ('#S') @ ((('#B') @ (=>))))))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 90.72/11.99 ((('#B') @ ((('#S') @ ((('#B') @ ( 90.72/11.99 '#C') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 &))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#S') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ (|))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))) @ 90.72/11.99 X4)))))))))))))), 90.72/11.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3])). 90.72/11.99 thf(zip_derived_cl5, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 (X2 @ ('#sk1' @ X2 @ X4)))))) @ 90.72/11.99 (X4 @ ('#sk1' @ X2 @ X4)))))))) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ (=>) @ ('#sk1' @ X2 @ X4))))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 90.72/11.99 ((('#B') @ ((('#S') @ ((('#B') @ ( 90.72/11.99 '#C') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 &))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#S') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ (|))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))) @ 90.72/11.99 X4)))))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 90.72/11.99 thf(zip_derived_cl6, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk1' @ X2 @ X4) @ 90.72/11.99 ('#sk2' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4)))))) => 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ('#sk1' @ X2 @ X4))) @ 90.72/11.99 ('#sk2' @ X2 @ X4))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 90.72/11.99 ((('#B') @ ((('#S') @ ((('#B') @ ( 90.72/11.99 '#C') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 &))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#S') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ (|))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))) @ 90.72/11.99 X4)))))))))))))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])). 90.72/11.99 thf(zip_derived_cl8, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ('#sk1' @ X2 @ X4))) @ 90.72/11.99 ('#sk2' @ X2 @ X4))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 90.72/11.99 ((('#B') @ ((('#S') @ ((('#B') @ ( 90.72/11.99 '#C') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 &))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#S') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ (|))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))) @ 90.72/11.99 X4)))))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 90.72/11.99 thf(zip_derived_cl10, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ ((('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) => ('#sk2' @ X2 @ X4 @ 90.72/11.99 ('#sk3' @ X2 @ X4)))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 90.72/11.99 ((('#B') @ ((('#S') @ ((('#B') @ ( 90.72/11.99 '#C') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 &))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#S') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ (|))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))) @ 90.72/11.99 X4)))))))))))))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 90.72/11.99 thf(zip_derived_cl13, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 90.72/11.99 ((('#B') @ ((('#S') @ ((('#B') @ ( 90.72/11.99 '#C') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 &))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#S') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ (|))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))) @ 90.72/11.99 X4)))))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 90.72/11.99 thf(zip_derived_cl16, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#C') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (=>))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ (&))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ( 90.72/11.99 |))) @ 90.72/11.99 (X4 @ 90.72/11.99 ('#sk4' @ X2 @ X4)))))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4)))))))))))) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4)))))) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4)))))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl13])). 90.72/11.99 thf(zip_derived_cl19, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 90.72/11.99 ((('#C') @ ((('#B') @ (&) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ (|))) @ 90.72/11.99 (X4 @ 90.72/11.99 ('#sk5' @ 90.72/11.99 X2 @ X4)))))) @ 90.72/11.99 (X2 @ ('#sk5' @ X2 @ X4)))))))) @ 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ 90.72/11.99 ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk5' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk5' @ X2 @ X4)))))))))) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4)))))) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4)))))))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl16])). 90.72/11.99 thf(zip_derived_cl22, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((((((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk5' @ X2 @ X4) @ 90.72/11.99 ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))) & 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk5' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4)))))))) => 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 90.72/11.99 thf(zip_derived_cl28, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 90.72/11.99 thf(zip_derived_cl37, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((X2 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)) | (X4 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk6' @ X2 @ X4) @ ('#sk7' @ X2 @ X4)))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])). 90.72/11.99 thf(zip_derived_cl49, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ ('#sk7' @ X2 @ X4)) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl37])). 90.72/11.99 thf(zip_derived_cl61, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl49])). 90.72/11.99 thf(zip_derived_cl73, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))) 90.72/11.99 | ~ (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl61])). 90.72/11.99 thf(zip_derived_cl7, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4)))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 90.72/11.99 ((('#B') @ ((('#S') @ ((('#B') @ ( 90.72/11.99 '#C') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 &))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#S') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ (|))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))) @ 90.72/11.99 X4)))))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 90.72/11.99 thf(zip_derived_cl9, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (((X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) | (X4 @ 90.72/11.99 ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 90.72/11.99 ((('#B') @ ((('#S') @ ((('#B') @ ( 90.72/11.99 '#C') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 &))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#S') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ (|))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))) @ 90.72/11.99 X4)))))))))))))), 90.72/11.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 90.72/11.99 thf(zip_derived_cl11, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 90.72/11.99 ((('#B') @ ((('#S') @ ((('#B') @ ( 90.72/11.99 '#C') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 &))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#S') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ (|))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))) @ 90.72/11.99 X4)))))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl9])). 90.72/11.99 thf(zip_derived_cl14, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#C') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (=>))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ (&))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ( 90.72/11.99 |))) @ 90.72/11.99 (X4 @ 90.72/11.99 ('#sk4' @ X2 @ X4)))))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4)))))))))))) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4)))))) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4)))))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])). 90.72/11.99 thf(zip_derived_cl17, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 90.72/11.99 ((('#C') @ ((('#B') @ (&) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ (|))) @ 90.72/11.99 (X4 @ 90.72/11.99 ('#sk5' @ 90.72/11.99 X2 @ X4)))))) @ 90.72/11.99 (X2 @ ('#sk5' @ X2 @ X4)))))))) @ 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ 90.72/11.99 ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk5' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk5' @ X2 @ X4)))))))))) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4)))))) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4)))))))))) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])). 90.72/11.99 thf(zip_derived_cl20, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((((((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk5' @ X2 @ X4) @ 90.72/11.99 ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))) & 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk5' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4)))))))) => 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl17])). 90.72/11.99 thf(zip_derived_cl24, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 90.72/11.99 thf(zip_derived_cl31, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((X2 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)) | (X4 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk6' @ X2 @ X4) @ ('#sk7' @ X2 @ X4)))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl24])). 90.72/11.99 thf(zip_derived_cl40, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ ('#sk7' @ X2 @ X4)) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])). 90.72/11.99 thf(zip_derived_cl52, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))))) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl40])). 90.72/11.99 thf(zip_derived_cl64, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))) 90.72/11.99 | ~ (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl52])). 90.72/11.99 thf(zip_derived_cl76, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( ('#form10' @ X2 @ X4) 90.72/11.99 | ~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))))), 90.72/11.99 define([status(thm)])). 90.72/11.99 thf(zip_derived_cl88, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ ('#form10' @ X2 @ X4) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)))), 90.72/11.99 inference('renaming', [status(thm)], [zip_derived_cl73, zip_derived_cl76])). 90.72/11.99 thf(zip_derived_cl27, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( (((((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk5' @ X2 @ X4) @ 90.72/11.99 ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))) & 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk5' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4)))))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 90.72/11.99 thf(zip_derived_cl35, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])). 90.72/11.99 thf(zip_derived_cl46, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (((X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) | (X2 @ 90.72/11.99 ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])). 90.72/11.99 thf(zip_derived_cl58, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl46])). 90.72/11.99 thf(zip_derived_cl70, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl58])). 90.72/11.99 thf(zip_derived_cl85, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))) 90.72/11.99 | (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl70])). 90.72/11.99 thf(zip_derived_cl76, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( ('#form10' @ X2 @ X4) 90.72/11.99 | ~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))))), 90.72/11.99 define([status(thm)])). 90.72/11.99 thf(zip_derived_cl93, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ ('#form10' @ X2 @ X4) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6))), 90.72/11.99 inference('renaming', [status(thm)], [zip_derived_cl85, zip_derived_cl76])). 90.72/11.99 thf(zip_derived_cl12, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @ 90.72/11.99 ((('#B') @ ((('#S') @ ((('#B') @ ( 90.72/11.99 '#C') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 &))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 !!))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#S') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ ( 90.72/11.99 (('#B') @ (|))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))))))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ('#S'))) @ 90.72/11.99 ((('#B') @ ((('#B') @ ((('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X2)))))) @ 90.72/11.99 X4)))))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 90.72/11.99 thf(zip_derived_cl15, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#C') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (=>))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#C') @ 90.72/11.99 ((('#B') @ ((('#B') @ (&))) @ 90.72/11.99 ((('#B') @ ((('#B') @ (!!))) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 '#S'))) @ 90.72/11.99 ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 ( 90.72/11.99 ('#B') @ ( 90.72/11.99 |))))) @ 90.72/11.99 X4)))))) @ 90.72/11.99 X2)))))))) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ ( 90.72/11.99 |))) @ 90.72/11.99 (X4 @ 90.72/11.99 ('#sk4' @ X2 @ X4)))))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4)))))))))))) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4)))))) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4)))))))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 90.72/11.99 thf(zip_derived_cl18, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 90.72/11.99 ((('#C') @ ((('#B') @ (&) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ( 90.72/11.99 '#S') @ 90.72/11.99 ((('#B') @ ( 90.72/11.99 (('#B') @ (|))) @ 90.72/11.99 (X4 @ 90.72/11.99 ('#sk5' @ 90.72/11.99 X2 @ X4)))))) @ 90.72/11.99 (X2 @ ('#sk5' @ X2 @ X4)))))))) @ 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ 90.72/11.99 ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk5' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk5' @ X2 @ X4)))))))))) @ 90.72/11.99 ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4)))))) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4)))))))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl15])). 90.72/11.99 thf(zip_derived_cl21, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((((((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk5' @ X2 @ X4) @ 90.72/11.99 ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))) & 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk5' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4)))))))) => 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl18])). 90.72/11.99 thf(zip_derived_cl26, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 90.72/11.99 thf(zip_derived_cl34, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((X2 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)) | (X4 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk6' @ X2 @ X4) @ ('#sk7' @ X2 @ X4)))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl26])). 90.72/11.99 thf(zip_derived_cl45, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ ('#sk7' @ X2 @ X4)) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl34])). 90.72/11.99 thf(zip_derived_cl57, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl45])). 90.72/11.99 thf(zip_derived_cl69, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))) 90.72/11.99 | ~ (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl57])). 90.72/11.99 thf(zip_derived_cl76, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( ('#form10' @ X2 @ X4) 90.72/11.99 | ~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))))), 90.72/11.99 define([status(thm)])). 90.72/11.99 thf(zip_derived_cl84, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ ('#form10' @ X2 @ X4) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)))), 90.72/11.99 inference('renaming', [status(thm)], [zip_derived_cl69, zip_derived_cl76])). 90.72/11.99 thf(zip_derived_cl25, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( (((((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk5' @ X2 @ X4) @ 90.72/11.99 ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))) & 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk5' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4)))))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 90.72/11.99 thf(zip_derived_cl32, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])). 90.72/11.99 thf(zip_derived_cl42, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (((X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) | (X2 @ 90.72/11.99 ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 90.72/11.99 thf(zip_derived_cl54, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl42])). 90.72/11.99 thf(zip_derived_cl66, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl54])). 90.72/11.99 thf(zip_derived_cl81, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))) 90.72/11.99 | (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl66])). 90.72/11.99 thf(zip_derived_cl76, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( ('#form10' @ X2 @ X4) 90.72/11.99 | ~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))))), 90.72/11.99 define([status(thm)])). 90.72/11.99 thf(zip_derived_cl91, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ ('#form10' @ X2 @ X4) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X6))), 90.72/11.99 inference('renaming', [status(thm)], [zip_derived_cl81, zip_derived_cl76])). 90.72/11.99 thf(zip_derived_cl33, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4)))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])). 90.72/11.99 thf(zip_derived_cl43, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (((X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) | (X2 @ 90.72/11.99 ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl33])). 90.72/11.99 thf(zip_derived_cl55, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl43])). 90.72/11.99 thf(zip_derived_cl67, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))))) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl55])). 90.72/11.99 thf(zip_derived_cl82, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))) 90.72/11.99 | (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl67])). 90.72/11.99 thf(zip_derived_cl76, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( ('#form10' @ X2 @ X4) 90.72/11.99 | ~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))))), 90.72/11.99 define([status(thm)])). 90.72/11.99 thf(zip_derived_cl92, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ ('#form10' @ X2 @ X4) 90.72/11.99 | ('#sk1' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6))), 90.72/11.99 inference('renaming', [status(thm)], [zip_derived_cl82, zip_derived_cl76])). 90.72/11.99 thf(zip_derived_cl36, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4)))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])). 90.72/11.99 thf(zip_derived_cl47, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (((X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) | (X2 @ 90.72/11.99 ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl36])). 90.72/11.99 thf(zip_derived_cl59, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl47])). 90.72/11.99 thf(zip_derived_cl71, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))))) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl59])). 90.72/11.99 thf(zip_derived_cl86, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))) 90.72/11.99 | (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl71])). 90.72/11.99 thf(zip_derived_cl76, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( ('#form10' @ X2 @ X4) 90.72/11.99 | ~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))))), 90.72/11.99 define([status(thm)])). 90.72/11.99 thf(zip_derived_cl94, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ ('#form10' @ X2 @ X4) 90.72/11.99 | ~ ('#sk2' @ X2 @ X4 @ ('#sk3' @ X2 @ X4)) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X6))), 90.72/11.99 inference('renaming', [status(thm)], [zip_derived_cl86, zip_derived_cl76])). 90.72/11.99 thf(zip_derived_cl41, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ ('#sk7' @ X2 @ X4)) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])). 90.72/11.99 thf(zip_derived_cl53, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))))) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl41])). 90.72/11.99 thf(zip_derived_cl65, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))) 90.72/11.99 | ~ (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl53])). 90.72/11.99 thf(zip_derived_cl76, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( ('#form10' @ X2 @ X4) 90.72/11.99 | ~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))))), 90.72/11.99 define([status(thm)])). 90.72/11.99 thf(zip_derived_cl80, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 (~ ('#form10' @ X2 @ X4) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ 90.72/11.99 ('#sk7' @ X2 @ X4)))), 90.72/11.99 inference('renaming', [status(thm)], [zip_derived_cl65, zip_derived_cl76])). 90.72/11.99 thf(zip_derived_cl76, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( ('#form10' @ X2 @ X4) 90.72/11.99 | ~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))))), 90.72/11.99 define([status(thm)])). 90.72/11.99 thf(zip_derived_cl78, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (X4 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)) 90.72/11.99 | ('#form10' @ X2 @ X4))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl76])). 90.72/11.99 thf(zip_derived_cl324, plain, 90.72/11.99 (![X0 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X1 : ($i > $o) > ($i > $o) > $i > $o, X2 : $i]: 90.72/11.99 (~ (X0 @ ('#sk4' @ X1 @ X0) @ ('#sk6' @ X1 @ X0) @ ('#sk7' @ X1 @ X0)) 90.72/11.99 | (X1 @ ('#sk1' @ X1 @ X0) @ ('#sk2' @ X1 @ X0) @ X2) 90.72/11.99 | (X0 @ ('#sk1' @ X1 @ X0) @ ('#sk2' @ X1 @ X0) @ X2) 90.72/11.99 | ~ (X0 @ ('#sk8' @ X1 @ X0) @ ('#sk8' @ X1 @ X0) @ 90.72/11.99 ('#sk9' @ X1 @ X0)))), 90.72/11.99 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl78])). 90.72/11.99 thf(zip_derived_cl23, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (((((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk5' @ X2 @ X4) @ 90.72/11.99 ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))) & 90.72/11.99 (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ 90.72/11.99 ('#sk5' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4)))))))) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 90.72/11.99 thf(zip_derived_cl29, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4)))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 90.72/11.99 thf(zip_derived_cl38, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 90.72/11.99 ( (((X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X8) | (X2 @ 90.72/11.99 ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X8))) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 90.72/11.99 thf(zip_derived_cl50, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 90.72/11.99 ( (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X8) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X8) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl38])). 90.72/11.99 thf(zip_derived_cl62, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))))) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X8) 90.72/11.99 | (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X8))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl50])). 90.72/11.99 thf(zip_derived_cl74, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 90.72/11.99 (~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))) 90.72/11.99 | (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X8) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X8) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl62])). 90.72/11.99 thf(zip_derived_cl76, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( ('#form10' @ X2 @ X4) 90.72/11.99 | ~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))))), 90.72/11.99 define([status(thm)])). 90.72/11.99 thf(zip_derived_cl89, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 90.72/11.99 (~ ('#form10' @ X2 @ X4) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X8) 90.72/11.99 | (X4 @ ('#sk5' @ X2 @ X4) @ ('#sk6' @ X2 @ X4) @ X8))), 90.72/11.99 inference('renaming', [status(thm)], [zip_derived_cl74, zip_derived_cl76])). 90.72/11.99 thf(zip_derived_cl671, plain, 90.72/11.99 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i, 90.72/11.99 X2 : ($i > $o) > ($i > $o) > $i > $o, X3 : $i]: 90.72/11.99 (((X0 @ ('#sk5' @ X2 @ X0) @ ('#sk6' @ X2 @ X0) @ X1) 90.72/11.99 != (X2 @ ('#sk1' @ X2 @ X0) @ ('#sk2' @ X2 @ X0) @ X3)) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X0) @ ('#sk6' @ X2 @ X0) @ X1) 90.72/11.99 | (X0 @ ('#sk1' @ X2 @ X0) @ ('#sk2' @ X2 @ X0) @ X3) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X0) @ ('#sk2' @ X2 @ X0) @ X3) 90.72/11.99 | ~ ('#form10' @ X2 @ X0))), 90.72/11.99 inference('eq_fact', [status(thm)], [zip_derived_cl89])). 90.72/11.99 thf(zip_derived_cl735, plain, 90.72/11.99 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i, 90.72/11.99 X2 : ($i > $o) > ($i > $o) > $i > $o, X3 : $i]: 90.72/11.99 ( (X0 @ ('#sk5' @ X2 @ X0) @ ('#sk6' @ X2 @ X0) @ X1) 90.72/11.99 | (X2 @ ('#sk5' @ X2 @ X0) @ ('#sk6' @ X2 @ X0) @ X1) 90.72/11.99 | (X0 @ ('#sk1' @ X2 @ X0) @ ('#sk2' @ X2 @ X0) @ X3) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X0) @ ('#sk2' @ X2 @ X0) @ X3) 90.72/11.99 | ~ ('#form10' @ X2 @ X0))), 90.72/11.99 inference('local_rewriting', [status(thm)], [zip_derived_cl671])). 90.72/11.99 thf(zip_derived_cl78, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 (~ (X4 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)) 90.72/11.99 | ('#form10' @ X2 @ X4))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl76])). 90.72/11.99 thf(zip_derived_cl30, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i]: 90.72/11.99 ( (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4)))) @ 90.72/11.99 (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4)))))) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 90.72/11.99 thf(zip_derived_cl39, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 90.72/11.99 ( (((X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X8) | (X2 @ 90.72/11.99 ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X8))) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))))), 90.72/11.99 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl30])). 90.72/11.99 thf(zip_derived_cl51, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 90.72/11.99 ( (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X8) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X8) 90.72/11.99 | ~ (((!!) @ ((('#B') @ (!!) @ 90.72/11.99 ((('#S') @ ((('#B') @ ('#S') @ 90.72/11.99 ((('#B') @ ((('#B') @ (|))) @ 90.72/11.99 ((('#S') @ X2 @ ('#I'))))))) @ 90.72/11.99 ((('#S') @ X4 @ ('#I'))))))))) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl39])). 90.72/11.99 thf(zip_derived_cl63, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 90.72/11.99 (~ (((!!) @ ((('#S') @ ((('#B') @ (|) @ 90.72/11.99 (X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))) @ 90.72/11.99 (X4 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4)))))) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X8) 90.72/11.99 | (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X8))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl51])). 90.72/11.99 thf(zip_derived_cl75, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 90.72/11.99 (~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))) 90.72/11.99 | (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X8) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X8) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6))), 90.72/11.99 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl63])). 90.72/11.99 thf(zip_derived_cl76, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o]: 90.72/11.99 ( ('#form10' @ X2 @ X4) 90.72/11.99 | ~ (((X2 @ ('#sk8' @ X2 @ X4) @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk9' @ X2 @ X4)) | (X4 @ ('#sk8' @ X2 @ X4) @ 90.72/11.99 ('#sk8' @ X2 @ X4) @ ('#sk9' @ X2 @ X4)))))), 90.72/11.99 define([status(thm)])). 90.72/11.99 thf(zip_derived_cl90, plain, 90.72/11.99 (![X2 : ($i > $o) > ($i > $o) > $i > $o, 90.72/11.99 X4 : ($i > $o) > ($i > $o) > $i > $o, X6 : $i, X8 : $i]: 90.72/11.99 (~ ('#form10' @ X2 @ X4) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X4 @ ('#sk1' @ X2 @ X4) @ ('#sk2' @ X2 @ X4) @ X6) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X8) 90.72/11.99 | (X4 @ ('#sk4' @ X2 @ X4) @ ('#sk5' @ X2 @ X4) @ X8))), 90.72/11.99 inference('renaming', [status(thm)], [zip_derived_cl75, zip_derived_cl76])). 90.72/11.99 thf(zip_derived_cl1107, plain, 90.72/11.99 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i, 90.72/11.99 X2 : ($i > $o) > ($i > $o) > $i > $o, X3 : $i]: 90.72/11.99 (((X0 @ ('#sk4' @ X2 @ X0) @ ('#sk5' @ X2 @ X0) @ X1) 90.72/11.99 != (X2 @ ('#sk1' @ X2 @ X0) @ ('#sk2' @ X2 @ X0) @ X3)) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X0) @ ('#sk5' @ X2 @ X0) @ X1) 90.72/11.99 | (X0 @ ('#sk1' @ X2 @ X0) @ ('#sk2' @ X2 @ X0) @ X3) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X0) @ ('#sk2' @ X2 @ X0) @ X3) 90.72/11.99 | ~ ('#form10' @ X2 @ X0))), 90.72/11.99 inference('eq_fact', [status(thm)], [zip_derived_cl90])). 90.72/11.99 thf(zip_derived_cl1171, plain, 90.72/11.99 (![X0 : ($i > $o) > ($i > $o) > $i > $o, X1 : $i, 90.72/11.99 X2 : ($i > $o) > ($i > $o) > $i > $o, X3 : $i]: 90.72/11.99 ( (X0 @ ('#sk4' @ X2 @ X0) @ ('#sk5' @ X2 @ X0) @ X1) 90.72/11.99 | (X2 @ ('#sk4' @ X2 @ X0) @ ('#sk5' @ X2 @ X0) @ X1) 90.72/11.99 | (X0 @ ('#sk1' @ X2 @ X0) @ ('#sk2' @ X2 @ X0) @ X3) 90.72/11.99 | (X2 @ ('#sk1' @ X2 @ X0) @ ('#sk2' @ X2 @ X0) @ X3) 90.72/11.99 | ~ ('#form10' @ X2 @ X0))), 90.72/11.99 inference('local_rewriting', [status(thm)], [zip_derived_cl1107])). 90.72/11.99 thf(zip_derived_cl5142, plain, ($false), 90.72/11.99 inference('eprover', [status(thm)], 90.72/11.99 [zip_derived_cl88, zip_derived_cl93, zip_derived_cl84, 90.72/11.99 zip_derived_cl91, zip_derived_cl92, zip_derived_cl94, 90.72/11.99 zip_derived_cl324, zip_derived_cl735, zip_derived_cl78, 90.72/11.99 zip_derived_cl1171])). 90.72/11.99 90.72/11.99 % SZS output end Refutation 90.72/11.99 90.72/11.99 90.72/12.00 % Terminating... 91.06/12.09 % Runner terminated. 91.06/12.09 % Zipperpin 1.5 exiting 91.06/12.10 EOF