0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UNpBcQmeTb true 0.13/0.34 % Computer : n011.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 : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 12:39:10 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 120 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.56/0.66 % Total configuration time : 828 0.56/0.66 % Estimated wc time : 983 0.56/0.66 % Estimated cpu time (8 cpus) : 122.875 0.56/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 0.58/0.82 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 33s 0.58/0.84 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 18s 0.58/0.88 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 18s 40.17/5.73 % Solved by lams/15_lifting3.sh. 40.17/5.73 % done 373 iterations in 4.800s 40.17/5.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 40.17/5.73 % SZS output start Refutation 40.17/5.73 thf(cs4_impl_type, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o). 40.17/5.73 thf(relr_type, type, relr: $i > $i > $o). 40.17/5.73 thf('#sk6_type', type, '#sk6': $i). 40.17/5.73 thf('#sk5_type', type, '#sk5': $i). 40.17/5.73 thf('#sk2_type', type, '#sk2': $i > $o). 40.17/5.73 thf('#sk4_type', type, '#sk4': $i). 40.17/5.73 thf('#sk8_type', type, '#sk8': $i). 40.17/5.73 thf('#sk3_type', type, '#sk3': $i). 40.17/5.73 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 40.17/5.73 thf(reli_type, type, reli: $i > $i > $o). 40.17/5.73 thf('#sk13_type', type, '#sk13': ($i > $o) > $i > $i). 40.17/5.73 thf('#sk9_type', type, '#sk9': $i > $i). 40.17/5.73 thf('#sk1_type', type, '#sk1': $i > $o). 40.17/5.73 thf(cs4_box_type, type, cs4_box: ($i > $o) > $i > $o). 40.17/5.73 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 40.17/5.73 thf('#sk7_type', type, '#sk7': $i). 40.17/5.73 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 40.17/5.73 thf(cs4_atom_type, type, cs4_atom: ($i > $o) > $i > $o). 40.17/5.73 thf(cs4_valid_type, type, cs4_valid: ($i > $o) > $o). 40.17/5.73 thf(mimpl_type, type, mimpl: ($i > $o) > ($i > $o) > $i > $o). 40.17/5.73 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 40.17/5.73 thf(cs4_valid_def, axiom,(( cs4_valid ) = 40.17/5.73 (^[A:( $i > $o )]: ( mvalid @ A )))). 40.17/5.73 thf(mvalid, axiom,(( mvalid ) = (^[P:( $i > $o )]: ( ![W:$i]: ( P @ W ) )))). 40.17/5.73 thf('0', plain, (( mvalid ) = ( ^[P:( $i > $o )]: ( ![W:$i]: ( P @ W ) ) )), 40.17/5.73 inference('simplify_rw_rule', [status(thm)], [mvalid])). 40.17/5.73 thf('1', plain, 40.17/5.73 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 40.17/5.73 define([status(thm)])). 40.17/5.73 thf('2', plain, (( cs4_valid ) = ( ^[A:( $i > $o )]: ( mvalid @ A ) )), 40.17/5.73 inference('simplify_rw_rule', [status(thm)], [cs4_valid_def, '1'])). 40.17/5.73 thf('3', plain, (( cs4_valid ) = ( ^[V_1:( $i > $o )]: ( mvalid @ V_1 ) )), 40.17/5.73 define([status(thm)])). 40.17/5.73 thf(cs4_box, axiom,(( cs4_box ) = 40.17/5.73 (^[A:( $i > $o )]: ( mbox @ reli @ ( mbox @ relr @ A ) )))). 40.17/5.73 thf(mbox, axiom,(( mbox ) = 40.17/5.73 (^[R:( $i > $i > $o ),P:( $i > $o ),X:$i]: 40.17/5.73 ( ![Y:$i]: ( ( R @ X @ Y ) => ( P @ Y ) ) )))). 40.17/5.73 thf('4', plain, 40.17/5.73 (( mbox ) = 40.17/5.73 ( ^[R:( $i > $i > $o ),P:( $i > $o ),X:$i]: 40.17/5.73 ( ![Y:$i]: ( ( R @ X @ Y ) => ( P @ Y ) ) ) )), 40.17/5.73 inference('simplify_rw_rule', [status(thm)], [mbox])). 40.17/5.73 thf('5', plain, 40.17/5.73 (( mbox ) = 40.17/5.73 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]: 40.17/5.73 ( ![X4:$i]: ( ( V_1 @ V_3 @ X4 ) => ( V_2 @ X4 ) ) ) )), 40.17/5.73 define([status(thm)])). 40.17/5.73 thf('6', plain, 40.17/5.73 (( cs4_box ) = 40.17/5.73 ( ^[A:( $i > $o )]: ( mbox @ reli @ ( mbox @ relr @ A ) ) )), 40.17/5.73 inference('simplify_rw_rule', [status(thm)], [cs4_box, '5'])). 40.17/5.73 thf('7', plain, 40.17/5.73 (( cs4_box ) = 40.17/5.73 ( ^[V_1:( $i > $o )]: ( mbox @ reli @ ( mbox @ relr @ V_1 ) ) )), 40.17/5.73 define([status(thm)])). 40.17/5.73 thf(cs4_impl, axiom,(( cs4_impl ) = 40.17/5.73 (^[A:( $i > $o ),B:( $i > $o )]: ( mbox @ reli @ ( mimpl @ A @ B ) )))). 40.17/5.73 thf(mimpl, axiom,(( mimpl ) = 40.17/5.73 (^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V )))). 40.17/5.73 thf(mor, axiom,(( mor ) = 40.17/5.73 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) )))). 40.17/5.73 thf('8', plain, 40.17/5.73 (( mor ) = 40.17/5.73 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) ) )), 40.17/5.73 inference('simplify_rw_rule', [status(thm)], [mor])). 40.17/5.73 thf('9', plain, 40.17/5.73 (( mor ) = 40.17/5.73 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 40.17/5.73 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 40.17/5.73 define([status(thm)])). 40.17/5.73 thf(mnot, axiom,(( mnot ) = (^[X:( $i > $o ),U:$i]: ( ~( X @ U ) )))). 40.17/5.73 thf('10', plain, (( mnot ) = ( ^[X:( $i > $o ),U:$i]: ( ~( X @ U ) ) )), 40.17/5.73 inference('simplify_rw_rule', [status(thm)], [mnot])). 40.17/5.73 thf('11', plain, 40.17/5.73 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 40.17/5.73 define([status(thm)])). 40.17/5.73 thf('12', plain, 40.17/5.73 (( mimpl ) = 40.17/5.73 ( ^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V ) )), 40.17/5.73 inference('simplify_rw_rule', [status(thm)], [mimpl, '9', '11'])). 40.17/5.73 thf('13', plain, 40.17/5.73 (( mimpl ) = 40.17/5.73 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 40.17/5.73 define([status(thm)])). 40.17/5.73 thf('14', plain, 40.17/5.73 (( cs4_impl ) = 40.17/5.73 ( ^[A:( $i > $o ),B:( $i > $o )]: ( mbox @ reli @ ( mimpl @ A @ B ) ) )), 40.17/5.73 inference('simplify_rw_rule', [status(thm)], 40.17/5.73 [cs4_impl, '5', '13', '9', '11'])). 40.17/5.73 thf('15', plain, 40.17/5.73 (( cs4_impl ) = 40.17/5.73 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 40.17/5.73 ( mbox @ reli @ ( mimpl @ V_1 @ V_2 ) ) )), 40.17/5.73 define([status(thm)])). 40.17/5.73 thf(cs4_atom, axiom,(( cs4_atom ) = 40.17/5.73 (^[P:( $i > $o )]: ( mbox @ reli @ P )))). 40.17/5.73 thf('16', plain, (( cs4_atom ) = ( ^[P:( $i > $o )]: ( mbox @ reli @ P ) )), 40.17/5.73 inference('simplify_rw_rule', [status(thm)], [cs4_atom, '5'])). 40.17/5.73 thf('17', plain, 40.17/5.73 (( cs4_atom ) = ( ^[V_1:( $i > $o )]: ( mbox @ reli @ V_1 ) )), 40.17/5.73 define([status(thm)])). 40.17/5.73 thf(cs4_k, conjecture, 40.17/5.73 (![A:( $i > $o ),B:( $i > $o )]: 40.17/5.73 ( cs4_valid @ 40.17/5.73 ( cs4_impl @ 40.17/5.73 ( cs4_box @ ( cs4_impl @ ( cs4_atom @ A ) @ ( cs4_atom @ B ) ) ) @ 40.17/5.73 ( cs4_impl @ 40.17/5.73 ( cs4_box @ ( cs4_atom @ A ) ) @ ( cs4_box @ ( cs4_atom @ B ) ) ) ) ))). 40.17/5.73 thf(zf_stmt_0, conjecture, 40.17/5.73 (![X4:( $i > $o ),X6:( $i > $o ),X8:$i,X10:$i]: 40.17/5.73 ( ( reli @ X8 @ X10 ) => 40.17/5.73 ( ( ![X22:$i]: 40.17/5.73 ( ( reli @ X10 @ X22 ) => 40.17/5.73 ( ( ![X30:$i]: 40.17/5.73 ( ( reli @ X22 @ X30 ) => 40.17/5.73 ( ![X32:$i]: 40.17/5.73 ( ( relr @ X30 @ X32 ) => 40.17/5.73 ( ![X34:$i]: ( ( reli @ X32 @ X34 ) => ( X6 @ X34 ) ) ) ) ) ) ) | 40.17/5.73 ( ~( ![X24:$i]: 40.17/5.73 ( ( reli @ X22 @ X24 ) => 40.17/5.73 ( ![X26:$i]: 40.17/5.73 ( ( relr @ X24 @ X26 ) => 40.17/5.73 ( ![X28:$i]: ( ( reli @ X26 @ X28 ) => ( X4 @ X28 ) ) ) ) ) ) ) ) ) ) ) | 40.17/5.73 ( ~( ![X12:$i]: 40.17/5.73 ( ( reli @ X10 @ X12 ) => 40.17/5.73 ( ![X14:$i]: 40.17/5.73 ( ( relr @ X12 @ X14 ) => 40.17/5.73 ( ![X16:$i]: 40.17/5.73 ( ( reli @ X14 @ X16 ) => 40.17/5.73 ( ( ![X20:$i]: ( ( reli @ X16 @ X20 ) => ( X6 @ X20 ) ) ) | 40.17/5.73 ( ~( ![X18:$i]: 40.17/5.73 ( ( reli @ X16 @ X18 ) => ( X4 @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 40.17/5.73 thf(zf_stmt_1, negated_conjecture, 40.17/5.73 (~( ![X4:( $i > $o ),X6:( $i > $o ),X8:$i,X10:$i]: 40.17/5.73 ( ( reli @ X8 @ X10 ) => 40.17/5.73 ( ( ![X22:$i]: 40.17/5.73 ( ( reli @ X10 @ X22 ) => 40.17/5.73 ( ( ![X30:$i]: 40.17/5.73 ( ( reli @ X22 @ X30 ) => 40.17/5.73 ( ![X32:$i]: 40.17/5.73 ( ( relr @ X30 @ X32 ) => 40.17/5.73 ( ![X34:$i]: ( ( reli @ X32 @ X34 ) => ( X6 @ X34 ) ) ) ) ) ) ) | 40.17/5.73 ( ~( ![X24:$i]: 40.17/5.73 ( ( reli @ X22 @ X24 ) => 40.17/5.73 ( ![X26:$i]: 40.17/5.73 ( ( relr @ X24 @ X26 ) => 40.17/5.73 ( ![X28:$i]: 40.17/5.73 ( ( reli @ X26 @ X28 ) => ( X4 @ X28 ) ) ) ) ) ) ) ) ) ) ) | 40.17/5.73 ( ~( ![X12:$i]: 40.17/5.73 ( ( reli @ X10 @ X12 ) => 40.17/5.73 ( ![X14:$i]: 40.17/5.73 ( ( relr @ X12 @ X14 ) => 40.17/5.73 ( ![X16:$i]: 40.17/5.73 ( ( reli @ X14 @ X16 ) => 40.17/5.73 ( ( ![X20:$i]: 40.17/5.73 ( ( reli @ X16 @ X20 ) => ( X6 @ X20 ) ) ) | 40.17/5.73 ( ~( ![X18:$i]: 40.17/5.73 ( ( reli @ X16 @ X18 ) => ( X4 @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 40.17/5.73 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 40.17/5.73 thf(zip_derived_cl5, plain, 40.17/5.73 (~ (((!!) @ (^[Y0 : $i > $o]: 40.17/5.73 (((!!) @ (^[Y1 : $i > $o]: 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((!!) @ (^[Y3 : $i]: 40.17/5.73 (((reli @ Y2 @ Y3) => 40.17/5.73 (((((!!) @ ( 40.17/5.73 ^[Y4 : $i]: 40.17/5.73 (((reli @ 40.17/5.73 Y3 @ Y4) => 40.17/5.73 (((( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y5 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y4 @ 40.17/5.73 Y5) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y6 : $i]: 40.17/5.73 (( 40.17/5.73 (relr @ 40.17/5.73 Y5 @ 40.17/5.73 Y6) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y7 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y6 @ 40.17/5.73 Y7) => 40.17/5.73 (Y1 @ Y7)))))))))))))))) | 40.17/5.73 (( 40.17/5.73 (~) @ ( 40.17/5.73 ((!!) @ ( 40.17/5.73 ^[Y5 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y4 @ 40.17/5.73 Y5) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y6 : $i]: 40.17/5.73 (( 40.17/5.73 (relr @ 40.17/5.73 Y5 @ 40.17/5.73 Y6) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y7 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y6 @ 40.17/5.73 Y7) => 40.17/5.73 (Y0 @ Y7))))))))))))))))))))))))) | 40.17/5.73 (((~) @ (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y4 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y3 @ 40.17/5.73 Y4) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y5 : $i]: 40.17/5.73 (( 40.17/5.73 (relr @ 40.17/5.73 Y4 @ 40.17/5.73 Y5) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y6 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y5 @ 40.17/5.73 Y6) => 40.17/5.73 (( 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y7 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y6 @ 40.17/5.73 Y7) => 40.17/5.73 (Y1 @ Y7)))))) | 40.17/5.73 (( 40.17/5.73 (~) @ ( 40.17/5.73 ( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y7 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y6 @ 40.17/5.73 Y7) => 40.17/5.73 (Y0 @ Y7)))))))))))))))))))))))))))))))))))))))))))), 40.17/5.73 inference('cnf', [status(esa)], [zf_stmt_1])). 40.17/5.73 thf(zip_derived_cl6, plain, 40.17/5.73 (~ (((!!) @ (^[Y0 : $i > $o]: 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 (((((!!) @ (^[Y3 : $i]: 40.17/5.73 (((reli @ Y2 @ 40.17/5.73 Y3) => 40.17/5.73 (((((!!) @ ( 40.17/5.73 ^[Y4 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y3 @ 40.17/5.73 Y4) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y5 : $i]: 40.17/5.73 (( 40.17/5.73 (relr @ 40.17/5.73 Y4 @ 40.17/5.73 Y5) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y6 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y5 @ 40.17/5.73 Y6) => 40.17/5.73 (Y0 @ Y6)))))))))))))))) | 40.17/5.73 (((~) @ ( 40.17/5.73 ((!!) @ ( 40.17/5.73 ^[Y4 : $i]: 40.17/5.73 ( 40.17/5.73 ( 40.17/5.73 (reli @ 40.17/5.73 Y3 @ 40.17/5.73 Y4) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y5 : $i]: 40.17/5.73 (( 40.17/5.73 (relr @ 40.17/5.73 Y4 @ 40.17/5.73 Y5) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y6 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y5 @ 40.17/5.73 Y6) => 40.17/5.73 ('#sk1' @ 40.17/5.73 Y6))))))))))))))))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y3 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y4 : $i]: 40.17/5.73 (( 40.17/5.73 (relr @ 40.17/5.73 Y3 @ 40.17/5.73 Y4) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y5 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y4 @ 40.17/5.73 Y5) => 40.17/5.73 (( 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y6 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y5 @ 40.17/5.73 Y6) => 40.17/5.73 (Y0 @ Y6)))))) | 40.17/5.73 (( 40.17/5.73 (~) @ ( 40.17/5.73 ( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y6 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y5 @ 40.17/5.73 Y6) => 40.17/5.73 ('#sk1' @ 40.17/5.73 Y6))))))))))))))))))))))))))))))))))))))))), 40.17/5.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])). 40.17/5.73 thf(zip_derived_cl7, plain, 40.17/5.73 (~ (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 (((((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 (((((!!) @ (^[Y3 : $i]: 40.17/5.73 (((reli @ 40.17/5.73 Y2 @ Y3) => 40.17/5.73 (((!!) @ ( 40.17/5.73 ^[Y4 : $i]: 40.17/5.73 (( 40.17/5.73 (relr @ 40.17/5.73 Y3 @ 40.17/5.73 Y4) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y5 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y4 @ 40.17/5.73 Y5) => 40.17/5.73 ('#sk2' @ 40.17/5.73 Y5)))))))))))))))) | 40.17/5.73 (((~) @ (((!!) @ ( 40.17/5.73 ^[Y3 : $i]: 40.17/5.73 (((reli @ 40.17/5.73 Y2 @ Y3) => 40.17/5.73 (((!!) @ ( 40.17/5.73 ^[Y4 : $i]: 40.17/5.73 (( 40.17/5.73 (relr @ 40.17/5.73 Y3 @ 40.17/5.73 Y4) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y5 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y4 @ 40.17/5.73 Y5) => 40.17/5.73 ('#sk1' @ 40.17/5.73 Y5))))))))))))))))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 (((!!) @ (^[Y3 : $i]: 40.17/5.73 (( 40.17/5.73 (relr @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y4 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y3 @ 40.17/5.73 Y4) => 40.17/5.73 (( 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y5 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y4 @ 40.17/5.73 Y5) => 40.17/5.73 ('#sk2' @ 40.17/5.73 Y5)))))) | 40.17/5.73 (( 40.17/5.73 (~) @ ( 40.17/5.73 ( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y5 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y4 @ 40.17/5.73 Y5) => 40.17/5.73 ('#sk1' @ 40.17/5.73 Y5)))))))))))))))))))))))))))))))))))))), 40.17/5.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 40.17/5.73 thf(zip_derived_cl8, plain, 40.17/5.73 (~ (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk3' @ Y0) => 40.17/5.73 (((((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 (((((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 (((!!) @ (^[Y3 : $i]: 40.17/5.73 (((relr @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y4 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y3 @ 40.17/5.73 Y4) => 40.17/5.73 ('#sk2' @ 40.17/5.73 Y4)))))))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ 40.17/5.73 Y2) => 40.17/5.73 (((!!) @ ( 40.17/5.73 ^[Y3 : $i]: 40.17/5.73 (((relr @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 (( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y4 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y3 @ 40.17/5.73 Y4) => 40.17/5.73 ('#sk1' @ 40.17/5.73 Y4))))))))))))))))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((relr @ Y1 @ 40.17/5.73 Y2) => 40.17/5.73 (((!!) @ ( 40.17/5.73 ^[Y3 : $i]: 40.17/5.73 (((reli @ 40.17/5.73 Y2 @ Y3) => 40.17/5.73 (((( 40.17/5.73 (!!) @ ( 40.17/5.73 ^[Y4 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y3 @ 40.17/5.73 Y4) => 40.17/5.73 ('#sk2' @ 40.17/5.73 Y4)))))) | 40.17/5.73 (( 40.17/5.73 (~) @ ( 40.17/5.73 ((!!) @ ( 40.17/5.73 ^[Y4 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y3 @ 40.17/5.73 Y4) => 40.17/5.73 ('#sk1' @ 40.17/5.73 Y4))))))))))))))))))))))))))))))))))), 40.17/5.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 40.17/5.73 thf(zip_derived_cl9, plain, 40.17/5.73 (~ (((reli @ '#sk3' @ '#sk4') => 40.17/5.73 (((((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk4' @ Y0) => 40.17/5.73 (((((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((relr @ Y1 @ Y2) => 40.17/5.73 (((!!) @ (^[Y3 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 ('#sk2' @ 40.17/5.73 Y3)))))))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((relr @ Y1 @ 40.17/5.73 Y2) => 40.17/5.73 (((!!) @ ( 40.17/5.73 ^[Y3 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 ('#sk1' @ 40.17/5.73 Y3))))))))))))))))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk4' @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((relr @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ 40.17/5.73 Y2) => 40.17/5.73 (((((!!) @ ( 40.17/5.73 ^[Y3 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 ('#sk2' @ 40.17/5.73 Y3)))))) | 40.17/5.73 (((~) @ ( 40.17/5.73 ((!!) @ ( 40.17/5.73 ^[Y3 : $i]: 40.17/5.73 ( 40.17/5.73 ( 40.17/5.73 (reli @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 ('#sk1' @ 40.17/5.73 Y3)))))))))))))))))))))))))))))))), 40.17/5.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 40.17/5.73 thf(zip_derived_cl11, plain, 40.17/5.73 (~ (((((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk4' @ Y0) => 40.17/5.73 (((((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((relr @ Y1 @ Y2) => 40.17/5.73 (((!!) @ (^[Y3 : $i]: 40.17/5.73 (((reli @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 ('#sk2' @ 40.17/5.73 Y3)))))))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((relr @ Y1 @ 40.17/5.73 Y2) => 40.17/5.73 (((!!) @ ( 40.17/5.73 ^[Y3 : $i]: 40.17/5.73 (((reli @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 ('#sk1' @ 40.17/5.73 Y3))))))))))))))))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk4' @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((relr @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ 40.17/5.73 Y2) => 40.17/5.73 (((((!!) @ ( 40.17/5.73 ^[Y3 : $i]: 40.17/5.73 (((reli @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 ('#sk2' @ 40.17/5.73 Y3)))))) | 40.17/5.73 (((~) @ ( 40.17/5.73 ((!!) @ ( 40.17/5.73 ^[Y3 : $i]: 40.17/5.73 (((reli @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 ('#sk1' @ 40.17/5.73 Y3)))))))))))))))))))))))))))))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 40.17/5.73 thf(zip_derived_cl12, plain, 40.17/5.73 (~ (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk4' @ Y0) => 40.17/5.73 (((((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((relr @ Y1 @ Y2) => 40.17/5.73 (((!!) @ (^[Y3 : $i]: 40.17/5.73 (((reli @ 40.17/5.73 Y2 @ Y3) => 40.17/5.73 ('#sk2' @ 40.17/5.73 Y3)))))))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((relr @ Y1 @ 40.17/5.73 Y2) => 40.17/5.73 (((!!) @ ( 40.17/5.73 ^[Y3 : $i]: 40.17/5.73 (((reli @ 40.17/5.73 Y2 @ Y3) => 40.17/5.73 ('#sk1' @ 40.17/5.73 Y3)))))))))))))))))))))))))), 40.17/5.73 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl11])). 40.17/5.73 thf(zip_derived_cl14, plain, 40.17/5.73 (~ (((reli @ '#sk4' @ '#sk5') => 40.17/5.73 (((((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk5' @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((relr @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 ('#sk2' @ Y2)))))))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk5' @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((relr @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ 40.17/5.73 Y2) => 40.17/5.73 ('#sk1' @ Y2))))))))))))))))))))))), 40.17/5.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 40.17/5.73 thf(zip_derived_cl17, plain, 40.17/5.73 (~ (((((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk5' @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((relr @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 ('#sk2' @ Y2)))))))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk5' @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((relr @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ 40.17/5.73 Y2) => ('#sk1' @ 40.17/5.73 Y2))))))))))))))))))))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 40.17/5.73 thf(zip_derived_cl19, plain, 40.17/5.73 (~ (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk5' @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((relr @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 ('#sk2' @ Y2))))))))))))))))), 40.17/5.73 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])). 40.17/5.73 thf(zip_derived_cl22, plain, 40.17/5.73 (~ (((reli @ '#sk5' @ '#sk6') => 40.17/5.73 (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((relr @ '#sk6' @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => ('#sk2' @ Y1)))))))))))))), 40.17/5.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 40.17/5.73 thf(zip_derived_cl25, plain, ( (reli @ '#sk5' @ '#sk6')), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 40.17/5.73 thf(zip_derived_cl16, plain, ( (reli @ '#sk4' @ '#sk5')), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 40.17/5.73 thf(zip_derived_cl25, plain, ( (reli @ '#sk5' @ '#sk6')), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 40.17/5.73 thf(trans_axiom_i, axiom, 40.17/5.73 (![A:( $i > $o )]: 40.17/5.73 ( mvalid @ 40.17/5.73 ( mimpl @ ( mbox @ reli @ A ) @ ( mbox @ reli @ ( mbox @ reli @ A ) ) ) ))). 40.17/5.73 thf(zf_stmt_2, axiom, 40.17/5.73 (![X4:( $i > $o ),X6:$i]: 40.17/5.73 ( ( ![X10:$i]: 40.17/5.73 ( ( reli @ X6 @ X10 ) => 40.17/5.73 ( ![X12:$i]: ( ( reli @ X10 @ X12 ) => ( X4 @ X12 ) ) ) ) ) | 40.17/5.73 ( ~( ![X8:$i]: ( ( reli @ X6 @ X8 ) => ( X4 @ X8 ) ) ) ) ))). 40.17/5.73 thf(zip_derived_cl3, plain, 40.17/5.73 ( (((!!) @ (^[Y0 : $i > $o]: 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 (((!!) @ (^[Y3 : $i]: 40.17/5.73 (((reli @ Y2 @ 40.17/5.73 Y3) => (Y0 @ Y3))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 (Y0 @ Y2))))))))))))))))), 40.17/5.73 inference('cnf', [status(esa)], [zf_stmt_2])). 40.17/5.73 thf(zip_derived_cl123, plain, 40.17/5.73 (![X2 : $i > $o]: 40.17/5.73 (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => (X2 @ 40.17/5.73 Y2))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => (X2 @ Y1)))))))))))))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 40.17/5.73 thf(zip_derived_cl124, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i]: 40.17/5.73 (((((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ X4 @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => (X2 @ Y1))))))))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0))))))))))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl123])). 40.17/5.73 thf(zip_derived_cl125, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i]: 40.17/5.73 ( (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ X4 @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => (X2 @ Y1))))))))))) 40.17/5.73 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))))), 40.17/5.73 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl124])). 40.17/5.73 thf(zip_derived_cl126, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i, X6 : $i]: 40.17/5.73 ( (((reli @ X4 @ X6) => 40.17/5.73 (((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => (X2 @ Y0)))))))) 40.17/5.73 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl125])). 40.17/5.73 thf(zip_derived_cl127, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i, X6 : $i]: 40.17/5.73 (~ (reli @ X4 @ X6) 40.17/5.73 | (((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => (X2 @ Y0)))))) 40.17/5.73 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl126])). 40.17/5.73 thf(zip_derived_cl128, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i, X6 : $i, X8 : $i]: 40.17/5.73 ( (((reli @ X6 @ X8) => (X2 @ X8))) 40.17/5.73 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))) 40.17/5.73 | ~ (reli @ X4 @ X6))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl127])). 40.17/5.73 thf(zip_derived_cl129, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i, X6 : $i, X8 : $i]: 40.17/5.73 (~ (reli @ X6 @ X8) 40.17/5.73 | (X2 @ X8) 40.17/5.73 | ~ (reli @ X4 @ X6) 40.17/5.73 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl128])). 40.17/5.73 thf(zip_derived_cl130, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i, X6 : $i, X8 : $i]: 40.17/5.73 (~ (((reli @ X4 @ ('#sk13' @ X2 @ X4)) => (X2 @ ('#sk13' @ X2 @ X4)))) 40.17/5.73 | ~ (reli @ X4 @ X6) 40.17/5.73 | (X2 @ X8) 40.17/5.73 | ~ (reli @ X6 @ X8))), 40.17/5.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl129])). 40.17/5.73 thf(zip_derived_cl132, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i, X6 : $i, X8 : $i]: 40.17/5.73 (~ (X2 @ ('#sk13' @ X2 @ X4)) 40.17/5.73 | ~ (reli @ X6 @ X8) 40.17/5.73 | (X2 @ X8) 40.17/5.73 | ~ (reli @ X4 @ X6))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl130])). 40.17/5.73 thf(zip_derived_cl169, plain, 40.17/5.73 (![X0 : $i, X1 : $i > $o]: 40.17/5.73 (~ (reli @ X0 @ '#sk5') 40.17/5.73 | (X1 @ '#sk6') 40.17/5.73 | ~ (X1 @ ('#sk13' @ X1 @ X0)))), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl132])). 40.17/5.73 thf(zip_derived_cl839, plain, 40.17/5.73 (![X0 : $i > $o]: (~ (X0 @ ('#sk13' @ X0 @ '#sk4')) | (X0 @ '#sk6'))), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl169])). 40.17/5.73 thf(zip_derived_cl16, plain, ( (reli @ '#sk4' @ '#sk5')), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 40.17/5.73 thf(zip_derived_cl25, plain, ( (reli @ '#sk5' @ '#sk6')), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 40.17/5.73 thf(zip_derived_cl131, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i, X6 : $i, X8 : $i]: 40.17/5.73 ( (reli @ X4 @ ('#sk13' @ X2 @ X4)) 40.17/5.73 | ~ (reli @ X6 @ X8) 40.17/5.73 | (X2 @ X8) 40.17/5.73 | ~ (reli @ X4 @ X6))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl130])). 40.17/5.73 thf(zip_derived_cl137, plain, 40.17/5.73 (![X0 : $i, X1 : $i > $o]: 40.17/5.73 (~ (reli @ X0 @ '#sk5') 40.17/5.73 | (X1 @ '#sk6') 40.17/5.73 | (reli @ X0 @ ('#sk13' @ X1 @ X0)))), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl131])). 40.17/5.73 thf(zip_derived_cl907, plain, 40.17/5.73 (![X0 : $i > $o]: 40.17/5.73 ( (reli @ '#sk4' @ ('#sk13' @ X0 @ '#sk4')) | (X0 @ '#sk6'))), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl137])). 40.17/5.73 thf(zip_derived_cl4768, plain, 40.17/5.73 (( (reli @ '#sk4' @ '#sk6') | (reli @ '#sk4' @ '#sk6'))), 40.17/5.73 inference('sup+', [status(thm)], [zip_derived_cl839, zip_derived_cl907])). 40.17/5.73 thf(zip_derived_cl4769, plain, ( (reli @ '#sk4' @ '#sk6')), 40.17/5.73 inference('simplify', [status(thm)], [zip_derived_cl4768])). 40.17/5.73 thf(refl_axiom_i, axiom, 40.17/5.73 (![A:( $i > $o )]: ( mvalid @ ( mimpl @ ( mbox @ reli @ A ) @ A ) ))). 40.17/5.73 thf(zf_stmt_3, axiom, 40.17/5.73 (![X4:( $i > $o ),X6:$i]: 40.17/5.73 ( ( X4 @ X6 ) | ( ~( ![X8:$i]: ( ( reli @ X6 @ X8 ) => ( X4 @ X8 ) ) ) ) ))). 40.17/5.73 thf(zip_derived_cl2, plain, 40.17/5.73 ( (((!!) @ (^[Y0 : $i > $o]: 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((Y0 @ Y1) | 40.17/5.73 (((~) @ (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 (Y0 @ Y2))))))))))))))))), 40.17/5.73 inference('cnf', [status(esa)], [zf_stmt_3])). 40.17/5.73 thf(zip_derived_cl92, plain, 40.17/5.73 (![X2 : $i > $o]: 40.17/5.73 (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((X2 @ Y0) | 40.17/5.73 (((~) @ (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => (X2 @ Y1)))))))))))))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 40.17/5.73 thf(zip_derived_cl93, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i]: 40.17/5.73 (((X2 @ X4) | 40.17/5.73 (((~) @ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0))))))))))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl92])). 40.17/5.73 thf(zip_derived_cl94, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i]: 40.17/5.73 ( (X2 @ X4) 40.17/5.73 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))))), 40.17/5.73 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl93])). 40.17/5.73 thf(zip_derived_cl95, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i]: 40.17/5.73 (~ (((reli @ X4 @ ('#sk13' @ X2 @ X4)) => (X2 @ ('#sk13' @ X2 @ X4)))) 40.17/5.73 | (X2 @ X4))), 40.17/5.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl94])). 40.17/5.73 thf(zip_derived_cl96, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i]: 40.17/5.73 ( (reli @ X4 @ ('#sk13' @ X2 @ X4)) | (X2 @ X4))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl95])). 40.17/5.73 thf(zip_derived_cl97, plain, 40.17/5.73 (![X2 : $i > $o, X4 : $i]: (~ (X2 @ ('#sk13' @ X2 @ X4)) | (X2 @ X4))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl95])). 40.17/5.73 thf(zip_derived_cl118, plain, 40.17/5.73 (![X0 : $i]: ( (reli @ X0 @ X0) | (reli @ X0 @ X0))), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl97])). 40.17/5.73 thf(zip_derived_cl120, plain, (![X0 : $i]: (reli @ X0 @ X0)), 40.17/5.73 inference('simplify', [status(thm)], [zip_derived_cl118])). 40.17/5.73 thf(zip_derived_cl26, plain, 40.17/5.73 (~ (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((relr @ '#sk6' @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => ('#sk2' @ Y1)))))))))))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 40.17/5.73 thf(zip_derived_cl29, plain, 40.17/5.73 (~ (((relr @ '#sk6' @ '#sk7') => 40.17/5.73 (((!!) @ (^[Y0 : $i]: (((reli @ '#sk7' @ Y0) => ('#sk2' @ Y0))))))))), 40.17/5.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl26])). 40.17/5.73 thf(zip_derived_cl33, plain, 40.17/5.73 (~ (((!!) @ (^[Y0 : $i]: (((reli @ '#sk7' @ Y0) => ('#sk2' @ Y0))))))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])). 40.17/5.73 thf(zip_derived_cl36, plain, 40.17/5.73 (~ (((reli @ '#sk7' @ '#sk8') => ('#sk2' @ '#sk8')))), 40.17/5.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl33])). 40.17/5.73 thf(zip_derived_cl39, plain, ( (reli @ '#sk7' @ '#sk8')), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 40.17/5.73 thf(zip_derived_cl13, plain, 40.17/5.73 ( (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk4' @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((relr @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 (((((!!) @ (^[Y3 : $i]: 40.17/5.73 (((reli @ Y2 @ 40.17/5.73 Y3) => 40.17/5.73 ('#sk2' @ Y3)))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y3 : $i]: 40.17/5.73 (( 40.17/5.73 (reli @ 40.17/5.73 Y2 @ 40.17/5.73 Y3) => 40.17/5.73 ('#sk1' @ 40.17/5.73 Y3)))))))))))))))))))))))))), 40.17/5.73 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl11])). 40.17/5.73 thf(zip_derived_cl15, plain, 40.17/5.73 (![X2 : $i]: 40.17/5.73 (((reli @ '#sk4' @ X2) => 40.17/5.73 (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((relr @ X2 @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 (((((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 ('#sk2' @ Y2)))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ 40.17/5.73 Y2) => 40.17/5.73 ('#sk1' @ Y2))))))))))))))))))))))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 40.17/5.73 thf(zip_derived_cl18, plain, 40.17/5.73 (![X2 : $i]: 40.17/5.73 (~ (reli @ '#sk4' @ X2) 40.17/5.73 | (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((relr @ X2 @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 (((((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 ('#sk2' @ Y2)))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ 40.17/5.73 Y2) => 40.17/5.73 ('#sk1' @ Y2)))))))))))))))))))))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 40.17/5.73 thf(zip_derived_cl21, plain, 40.17/5.73 (![X2 : $i, X4 : $i]: 40.17/5.73 ( (((relr @ X2 @ X4) => 40.17/5.73 (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ X4 @ Y0) => 40.17/5.73 (((((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => ('#sk2' @ Y1)))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 ('#sk1' @ Y1))))))))))))))))) 40.17/5.73 | ~ (reli @ '#sk4' @ X2))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl18])). 40.17/5.73 thf(zip_derived_cl24, plain, 40.17/5.73 (![X2 : $i, X4 : $i]: 40.17/5.73 (~ (relr @ X2 @ X4) 40.17/5.73 | (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ X4 @ Y0) => 40.17/5.73 (((((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => ('#sk2' @ Y1)))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => 40.17/5.73 ('#sk1' @ Y1))))))))))))))) 40.17/5.73 | ~ (reli @ '#sk4' @ X2))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 40.17/5.73 thf(zip_derived_cl28, plain, 40.17/5.73 (![X2 : $i, X4 : $i, X6 : $i]: 40.17/5.73 ( (((reli @ X4 @ X6) => 40.17/5.73 (((((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => ('#sk2' @ Y0)))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ X6 @ Y0) => ('#sk1' @ Y0)))))))))))) 40.17/5.73 | ~ (reli @ '#sk4' @ X2) 40.17/5.73 | ~ (relr @ X2 @ X4))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 40.17/5.73 thf(zip_derived_cl31, plain, 40.17/5.73 (![X2 : $i, X4 : $i, X6 : $i]: 40.17/5.73 (~ (reli @ X4 @ X6) 40.17/5.73 | (((((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => ('#sk2' @ Y0)))))) | 40.17/5.73 (((~) @ (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ X6 @ Y0) => ('#sk1' @ Y0)))))))))) 40.17/5.73 | ~ (relr @ X2 @ X4) 40.17/5.73 | ~ (reli @ '#sk4' @ X2))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 40.17/5.73 thf(zip_derived_cl35, plain, 40.17/5.73 (![X2 : $i, X4 : $i, X6 : $i]: 40.17/5.73 ( (((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => ('#sk2' @ Y0)))))) 40.17/5.73 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => ('#sk1' @ Y0)))))) 40.17/5.73 | ~ (reli @ '#sk4' @ X2) 40.17/5.73 | ~ (relr @ X2 @ X4) 40.17/5.73 | ~ (reli @ X4 @ X6))), 40.17/5.73 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])). 40.17/5.73 thf(zip_derived_cl38, plain, 40.17/5.73 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 40.17/5.73 ( (((reli @ X6 @ X8) => ('#sk2' @ X8))) 40.17/5.73 | ~ (reli @ X4 @ X6) 40.17/5.73 | ~ (relr @ X2 @ X4) 40.17/5.73 | ~ (reli @ '#sk4' @ X2) 40.17/5.73 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => ('#sk1' @ Y0)))))))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])). 40.17/5.73 thf(zip_derived_cl42, plain, 40.17/5.73 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 40.17/5.73 (~ (reli @ X6 @ X8) 40.17/5.73 | ('#sk2' @ X8) 40.17/5.73 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => ('#sk1' @ Y0)))))) 40.17/5.73 | ~ (reli @ '#sk4' @ X2) 40.17/5.73 | ~ (relr @ X2 @ X4) 40.17/5.73 | ~ (reli @ X4 @ X6))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl38])). 40.17/5.73 thf(zip_derived_cl43, plain, 40.17/5.73 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 40.17/5.73 (~ (((reli @ X6 @ ('#sk9' @ X6)) => ('#sk1' @ ('#sk9' @ X6)))) 40.17/5.73 | ~ (reli @ X4 @ X6) 40.17/5.73 | ~ (relr @ X2 @ X4) 40.17/5.73 | ~ (reli @ '#sk4' @ X2) 40.17/5.73 | ('#sk2' @ X8) 40.17/5.73 | ~ (reli @ X6 @ X8))), 40.17/5.73 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])). 40.17/5.73 thf(zip_derived_cl44, plain, 40.17/5.73 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 40.17/5.73 ( (reli @ X6 @ ('#sk9' @ X6)) 40.17/5.73 | ~ (reli @ X6 @ X8) 40.17/5.73 | ('#sk2' @ X8) 40.17/5.73 | ~ (reli @ '#sk4' @ X2) 40.17/5.73 | ~ (relr @ X2 @ X4) 40.17/5.73 | ~ (reli @ X4 @ X6))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl43])). 40.17/5.73 thf(zip_derived_cl214, plain, 40.17/5.73 (![X0 : $i, X1 : $i]: 40.17/5.73 (~ (reli @ X0 @ '#sk7') 40.17/5.73 | ~ (relr @ X1 @ X0) 40.17/5.73 | ~ (reli @ '#sk4' @ X1) 40.17/5.73 | ('#sk2' @ '#sk8') 40.17/5.73 | (reli @ '#sk7' @ ('#sk9' @ '#sk7')))), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl44])). 40.17/5.73 thf(zip_derived_cl40, plain, (~ ('#sk2' @ '#sk8')), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 40.17/5.73 thf(zip_derived_cl216, plain, 40.17/5.73 (![X0 : $i, X1 : $i]: 40.17/5.73 (~ (reli @ X0 @ '#sk7') 40.17/5.73 | ~ (relr @ X1 @ X0) 40.17/5.73 | ~ (reli @ '#sk4' @ X1) 40.17/5.73 | (reli @ '#sk7' @ ('#sk9' @ '#sk7')))), 40.17/5.73 inference('demod', [status(thm)], [zip_derived_cl214, zip_derived_cl40])). 40.17/5.73 thf(zip_derived_cl733, plain, 40.17/5.73 (![X0 : $i]: 40.17/5.73 ( (reli @ '#sk7' @ ('#sk9' @ '#sk7')) 40.17/5.73 | ~ (reli @ '#sk4' @ X0) 40.17/5.73 | ~ (relr @ X0 @ '#sk7'))), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl216])). 40.17/5.73 thf(zip_derived_cl4914, plain, 40.17/5.73 ((~ (relr @ '#sk6' @ '#sk7') | (reli @ '#sk7' @ ('#sk9' @ '#sk7')))), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl4769, zip_derived_cl733])). 40.17/5.73 thf(zip_derived_cl32, plain, ( (relr @ '#sk6' @ '#sk7')), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])). 40.17/5.73 thf(zip_derived_cl4919, plain, ( (reli @ '#sk7' @ ('#sk9' @ '#sk7'))), 40.17/5.73 inference('demod', [status(thm)], [zip_derived_cl4914, zip_derived_cl32])). 40.17/5.73 thf(zip_derived_cl20, plain, 40.17/5.73 ( (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((reli @ '#sk5' @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((relr @ Y0 @ Y1) => 40.17/5.73 (((!!) @ (^[Y2 : $i]: 40.17/5.73 (((reli @ Y1 @ Y2) => 40.17/5.73 ('#sk1' @ Y2))))))))))))))))), 40.17/5.73 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])). 40.17/5.73 thf(zip_derived_cl23, plain, 40.17/5.73 (![X2 : $i]: 40.17/5.73 (((reli @ '#sk5' @ X2) => 40.17/5.73 (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((relr @ X2 @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => ('#sk1' @ Y1)))))))))))))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])). 40.17/5.73 thf(zip_derived_cl27, plain, 40.17/5.73 (![X2 : $i]: 40.17/5.73 (~ (reli @ '#sk5' @ X2) 40.17/5.73 | (((!!) @ (^[Y0 : $i]: 40.17/5.73 (((relr @ X2 @ Y0) => 40.17/5.73 (((!!) @ (^[Y1 : $i]: 40.17/5.73 (((reli @ Y0 @ Y1) => ('#sk1' @ Y1))))))))))))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 40.17/5.73 thf(zip_derived_cl30, plain, 40.17/5.73 (![X2 : $i, X4 : $i]: 40.17/5.73 ( (((relr @ X2 @ X4) => 40.17/5.73 (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => ('#sk1' @ Y0)))))))) 40.17/5.73 | ~ (reli @ '#sk5' @ X2))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])). 40.17/5.73 thf(zip_derived_cl34, plain, 40.17/5.73 (![X2 : $i, X4 : $i]: 40.17/5.73 (~ (relr @ X2 @ X4) 40.17/5.73 | (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => ('#sk1' @ Y0)))))) 40.17/5.73 | ~ (reli @ '#sk5' @ X2))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl30])). 40.17/5.73 thf(zip_derived_cl37, plain, 40.17/5.73 (![X2 : $i, X4 : $i, X6 : $i]: 40.17/5.73 ( (((reli @ X4 @ X6) => ('#sk1' @ X6))) 40.17/5.73 | ~ (reli @ '#sk5' @ X2) 40.17/5.73 | ~ (relr @ X2 @ X4))), 40.17/5.73 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl34])). 40.17/5.73 thf(zip_derived_cl41, plain, 40.17/5.73 (![X2 : $i, X4 : $i, X6 : $i]: 40.17/5.73 (~ (reli @ X4 @ X6) 40.17/5.73 | ('#sk1' @ X6) 40.17/5.73 | ~ (relr @ X2 @ X4) 40.17/5.73 | ~ (reli @ '#sk5' @ X2))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])). 40.17/5.73 thf(zip_derived_cl5150, plain, 40.17/5.73 (![X0 : $i]: 40.17/5.73 (~ (reli @ '#sk5' @ X0) 40.17/5.73 | ~ (relr @ X0 @ '#sk7') 40.17/5.73 | ('#sk1' @ ('#sk9' @ '#sk7')))), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl4919, zip_derived_cl41])). 40.17/5.73 thf(zip_derived_cl4769, plain, ( (reli @ '#sk4' @ '#sk6')), 40.17/5.73 inference('simplify', [status(thm)], [zip_derived_cl4768])). 40.17/5.73 thf(zip_derived_cl120, plain, (![X0 : $i]: (reli @ X0 @ X0)), 40.17/5.73 inference('simplify', [status(thm)], [zip_derived_cl118])). 40.17/5.73 thf(zip_derived_cl39, plain, ( (reli @ '#sk7' @ '#sk8')), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 40.17/5.73 thf(zip_derived_cl45, plain, 40.17/5.73 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 40.17/5.73 (~ ('#sk1' @ ('#sk9' @ X6)) 40.17/5.73 | ~ (reli @ X6 @ X8) 40.17/5.73 | ('#sk2' @ X8) 40.17/5.73 | ~ (reli @ '#sk4' @ X2) 40.17/5.73 | ~ (relr @ X2 @ X4) 40.17/5.73 | ~ (reli @ X4 @ X6))), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl43])). 40.17/5.73 thf(zip_derived_cl72, plain, 40.17/5.73 (![X0 : $i, X1 : $i]: 40.17/5.73 (~ (reli @ X0 @ '#sk7') 40.17/5.73 | ~ (relr @ X1 @ X0) 40.17/5.73 | ~ (reli @ '#sk4' @ X1) 40.17/5.73 | ('#sk2' @ '#sk8') 40.17/5.73 | ~ ('#sk1' @ ('#sk9' @ '#sk7')))), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl45])). 40.17/5.73 thf(zip_derived_cl40, plain, (~ ('#sk2' @ '#sk8')), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 40.17/5.73 thf(zip_derived_cl74, plain, 40.17/5.73 (![X0 : $i, X1 : $i]: 40.17/5.73 (~ (reli @ X0 @ '#sk7') 40.17/5.73 | ~ (relr @ X1 @ X0) 40.17/5.73 | ~ (reli @ '#sk4' @ X1) 40.17/5.73 | ~ ('#sk1' @ ('#sk9' @ '#sk7')))), 40.17/5.73 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl40])). 40.17/5.73 thf(zip_derived_cl149, plain, 40.17/5.73 (![X0 : $i]: 40.17/5.73 (~ ('#sk1' @ ('#sk9' @ '#sk7')) 40.17/5.73 | ~ (reli @ '#sk4' @ X0) 40.17/5.73 | ~ (relr @ X0 @ '#sk7'))), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl74])). 40.17/5.73 thf(zip_derived_cl4910, plain, 40.17/5.73 ((~ (relr @ '#sk6' @ '#sk7') | ~ ('#sk1' @ ('#sk9' @ '#sk7')))), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl4769, zip_derived_cl149])). 40.17/5.73 thf(zip_derived_cl32, plain, ( (relr @ '#sk6' @ '#sk7')), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])). 40.17/5.73 thf(zip_derived_cl4917, plain, (~ ('#sk1' @ ('#sk9' @ '#sk7'))), 40.17/5.73 inference('demod', [status(thm)], [zip_derived_cl4910, zip_derived_cl32])). 40.17/5.73 thf(zip_derived_cl5177, plain, 40.17/5.73 (![X0 : $i]: (~ (reli @ '#sk5' @ X0) | ~ (relr @ X0 @ '#sk7'))), 40.17/5.73 inference('demod', [status(thm)], 40.17/5.73 [zip_derived_cl5150, zip_derived_cl4917])). 40.17/5.73 thf(zip_derived_cl5225, plain, (~ (relr @ '#sk6' @ '#sk7')), 40.17/5.73 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl5177])). 40.17/5.73 thf(zip_derived_cl32, plain, ( (relr @ '#sk6' @ '#sk7')), 40.17/5.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])). 40.17/5.73 thf(zip_derived_cl5228, plain, ($false), 40.17/5.73 inference('demod', [status(thm)], [zip_derived_cl5225, zip_derived_cl32])). 40.17/5.73 40.17/5.73 % SZS output end Refutation 40.17/5.73 40.17/5.73 40.17/5.73 % Terminating... 40.17/5.77 % Runner terminated. 40.17/5.78 % Zipperpin 1.5 exiting 40.17/5.80 EOF