0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zqSqhgg1rf true 0.13/0.35 % Computer : n019.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 02:52:21 EDT 2022 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 960 s 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.53/0.68 % Total configuration time : 828 0.53/0.68 % Estimated wc time : 1656 0.53/0.68 % Estimated cpu time (8 cpus) : 207.0 0.53/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.55/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 0.55/0.82 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 0.55/0.83 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s 0.56/0.89 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s 43.77/6.19 % Solved by lams/15_lifting3.sh. 43.77/6.19 % done 316 iterations in 5.251s 43.77/6.19 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 43.77/6.19 % SZS output start Refutation 43.77/6.19 thf(individuals_type, type, individuals: $tType). 43.77/6.19 thf(cs4_atom_type, type, cs4_atom: ($i > $o) > $i > $o). 43.77/6.19 thf(cs4_impl_type, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o). 43.77/6.19 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 43.77/6.19 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 43.77/6.19 thf('#sk8_type', type, '#sk8': $i). 43.77/6.19 thf(reli_type, type, reli: $i > $i > $o). 43.77/6.19 thf('#sk5_type', type, '#sk5': $i). 43.77/6.19 thf('#sk7_type', type, '#sk7': individuals). 43.77/6.19 thf('#sk11_type', type, '#sk11': ($i > $o) > $i > $i). 43.77/6.19 thf('#sk6_type', type, '#sk6': $i). 43.77/6.19 thf('#sk3_type', type, '#sk3': $i). 43.77/6.19 thf(relr_type, type, relr: $i > $i > $o). 43.77/6.19 thf(mimpl_type, type, mimpl: ($i > $o) > ($i > $o) > $i > $o). 43.77/6.19 thf(cs4_all_type, type, cs4_all: (individuals > $i > $o) > $i > $o). 43.77/6.19 thf(mall_type, type, mall: (individuals > $i > $o) > $i > $o). 43.77/6.19 thf('#sk4_type', type, '#sk4': $i). 43.77/6.19 thf(cs4_box_type, type, cs4_box: ($i > $o) > $i > $o). 43.77/6.19 thf('#sk2_type', type, '#sk2': $i). 43.77/6.19 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 43.77/6.19 thf('#sk1_type', type, '#sk1': individuals > $i > $o). 43.77/6.19 thf(cs4_valid_type, type, cs4_valid: ($i > $o) > $o). 43.77/6.19 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 43.77/6.19 thf(cs4_valid_def, axiom,(( cs4_valid ) = 43.77/6.19 (^[A:( $i > $o )]: ( mvalid @ A )))). 43.77/6.19 thf(mvalid, axiom,(( mvalid ) = (^[P:( $i > $o )]: ( ![W:$i]: ( P @ W ) )))). 43.77/6.19 thf('0', plain, (( mvalid ) = ( ^[P:( $i > $o )]: ( ![W:$i]: ( P @ W ) ) )), 43.77/6.19 inference('simplify_rw_rule', [status(thm)], [mvalid])). 43.77/6.19 thf('1', plain, 43.77/6.19 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 43.77/6.19 define([status(thm)])). 43.77/6.19 thf('2', plain, (( cs4_valid ) = ( ^[A:( $i > $o )]: ( mvalid @ A ) )), 43.77/6.19 inference('simplify_rw_rule', [status(thm)], [cs4_valid_def, '1'])). 43.77/6.19 thf('3', plain, (( cs4_valid ) = ( ^[V_1:( $i > $o )]: ( mvalid @ V_1 ) )), 43.77/6.19 define([status(thm)])). 43.77/6.19 thf(cs4_box, axiom,(( cs4_box ) = 43.77/6.19 (^[A:( $i > $o )]: ( mbox @ reli @ ( mbox @ relr @ A ) )))). 43.77/6.19 thf(mbox, axiom,(( mbox ) = 43.77/6.19 (^[R:( $i > $i > $o ),P:( $i > $o ),X:$i]: 43.77/6.19 ( ![Y:$i]: ( ( R @ X @ Y ) => ( P @ Y ) ) )))). 43.77/6.19 thf('4', plain, 43.77/6.19 (( mbox ) = 43.77/6.19 ( ^[R:( $i > $i > $o ),P:( $i > $o ),X:$i]: 43.77/6.19 ( ![Y:$i]: ( ( R @ X @ Y ) => ( P @ Y ) ) ) )), 43.77/6.19 inference('simplify_rw_rule', [status(thm)], [mbox])). 43.77/6.19 thf('5', plain, 43.77/6.19 (( mbox ) = 43.77/6.19 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]: 43.77/6.19 ( ![X4:$i]: ( ( V_1 @ V_3 @ X4 ) => ( V_2 @ X4 ) ) ) )), 43.77/6.19 define([status(thm)])). 43.77/6.19 thf('6', plain, 43.77/6.19 (( cs4_box ) = 43.77/6.19 ( ^[A:( $i > $o )]: ( mbox @ reli @ ( mbox @ relr @ A ) ) )), 43.77/6.19 inference('simplify_rw_rule', [status(thm)], [cs4_box, '5'])). 43.77/6.19 thf('7', plain, 43.77/6.19 (( cs4_box ) = 43.77/6.19 ( ^[V_1:( $i > $o )]: ( mbox @ reli @ ( mbox @ relr @ V_1 ) ) )), 43.77/6.19 define([status(thm)])). 43.77/6.19 thf(cs4_all, axiom,(( cs4_all ) = 43.77/6.19 (^[A:( individuals > $i > $o )]: ( mbox @ reli @ ( mall @ A ) )))). 43.77/6.19 thf(mall, axiom,(( mall ) = 43.77/6.19 (^[P:( individuals > $i > $o ),W:$i]: ( ![X:individuals]: ( P @ X @ W ) )))). 43.77/6.19 thf('8', plain, 43.77/6.19 (( mall ) = 43.77/6.19 ( ^[P:( individuals > $i > $o ),W:$i]: 43.77/6.19 ( ![X:individuals]: ( P @ X @ W ) ) )), 43.77/6.19 inference('simplify_rw_rule', [status(thm)], [mall])). 43.77/6.19 thf('9', plain, 43.77/6.19 (( mall ) = 43.77/6.19 ( ^[V_1:( individuals > $i > $o ),V_2:$i]: 43.77/6.19 ( ![X4:individuals]: ( V_1 @ X4 @ V_2 ) ) )), 43.77/6.19 define([status(thm)])). 43.77/6.19 thf('10', plain, 43.77/6.19 (( cs4_all ) = 43.77/6.19 ( ^[A:( individuals > $i > $o )]: ( mbox @ reli @ ( mall @ A ) ) )), 43.77/6.19 inference('simplify_rw_rule', [status(thm)], [cs4_all, '9', '5'])). 43.77/6.19 thf('11', plain, 43.77/6.19 (( cs4_all ) = 43.77/6.19 ( ^[V_1:( individuals > $i > $o )]: ( mbox @ reli @ ( mall @ V_1 ) ) )), 43.77/6.19 define([status(thm)])). 43.77/6.19 thf(cs4_impl, axiom,(( cs4_impl ) = 43.77/6.19 (^[A:( $i > $o ),B:( $i > $o )]: ( mbox @ reli @ ( mimpl @ A @ B ) )))). 43.77/6.19 thf(mimpl, axiom,(( mimpl ) = 43.77/6.19 (^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V )))). 43.77/6.19 thf(mor, axiom,(( mor ) = 43.77/6.19 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) )))). 43.77/6.19 thf('12', plain, 43.77/6.19 (( mor ) = 43.77/6.19 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) ) )), 43.77/6.19 inference('simplify_rw_rule', [status(thm)], [mor])). 43.77/6.19 thf('13', plain, 43.77/6.19 (( mor ) = 43.77/6.19 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 43.77/6.19 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 43.77/6.19 define([status(thm)])). 43.77/6.19 thf(mnot, axiom,(( mnot ) = (^[X:( $i > $o ),U:$i]: ( ~( X @ U ) )))). 43.77/6.19 thf('14', plain, (( mnot ) = ( ^[X:( $i > $o ),U:$i]: ( ~( X @ U ) ) )), 43.77/6.19 inference('simplify_rw_rule', [status(thm)], [mnot])). 43.77/6.19 thf('15', plain, 43.77/6.19 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 43.77/6.19 define([status(thm)])). 43.77/6.19 thf('16', plain, 43.77/6.19 (( mimpl ) = 43.77/6.19 ( ^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V ) )), 43.77/6.19 inference('simplify_rw_rule', [status(thm)], [mimpl, '13', '15'])). 43.77/6.19 thf('17', plain, 43.77/6.19 (( mimpl ) = 43.77/6.19 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 43.77/6.19 define([status(thm)])). 43.77/6.19 thf('18', plain, 43.77/6.19 (( cs4_impl ) = 43.77/6.19 ( ^[A:( $i > $o ),B:( $i > $o )]: ( mbox @ reli @ ( mimpl @ A @ B ) ) )), 43.77/6.19 inference('simplify_rw_rule', [status(thm)], 43.77/6.19 [cs4_impl, '5', '17', '13', '15'])). 43.77/6.19 thf('19', plain, 43.77/6.19 (( cs4_impl ) = 43.77/6.19 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 43.77/6.19 ( mbox @ reli @ ( mimpl @ V_1 @ V_2 ) ) )), 43.77/6.19 define([status(thm)])). 43.77/6.19 thf(cs4_atom, axiom,(( cs4_atom ) = 43.77/6.19 (^[P:( $i > $o )]: ( mbox @ reli @ P )))). 43.77/6.19 thf('20', plain, (( cs4_atom ) = ( ^[P:( $i > $o )]: ( mbox @ reli @ P ) )), 43.77/6.19 inference('simplify_rw_rule', [status(thm)], [cs4_atom, '5'])). 43.77/6.19 thf('21', plain, 43.77/6.19 (( cs4_atom ) = ( ^[V_1:( $i > $o )]: ( mbox @ reli @ V_1 ) )), 43.77/6.19 define([status(thm)])). 43.77/6.19 thf(cs4_barcan, conjecture, 43.77/6.19 (![A:( individuals > $i > $o )]: 43.77/6.19 ( cs4_valid @ 43.77/6.19 ( cs4_impl @ 43.77/6.19 ( cs4_all @ 43.77/6.19 ( ^[I:individuals]: ( cs4_box @ ( cs4_atom @ ( A @ I ) ) ) ) ) @ 43.77/6.19 ( cs4_box @ 43.77/6.19 ( cs4_all @ ( ^[I:individuals]: ( cs4_atom @ ( A @ I ) ) ) ) ) ) ))). 43.77/6.19 thf(zf_stmt_0, conjecture, 43.77/6.19 (![X4:( individuals > $i > $o ),X6:$i,X8:$i]: 43.77/6.19 ( ( reli @ X6 @ X8 ) => 43.77/6.19 ( ( ![X20:$i]: 43.77/6.19 ( ( reli @ X8 @ X20 ) => 43.77/6.19 ( ![X22:$i]: 43.77/6.19 ( ( relr @ X20 @ X22 ) => 43.77/6.19 ( ![X24:$i]: 43.77/6.19 ( ( reli @ X22 @ X24 ) => 43.77/6.19 ( ![X26:individuals,X28:$i]: 43.77/6.19 ( ( reli @ X24 @ X28 ) => ( X4 @ X26 @ X28 ) ) ) ) ) ) ) ) ) | 43.77/6.19 ( ~( ![X10:$i]: 43.77/6.19 ( ( reli @ X8 @ X10 ) => 43.77/6.19 ( ![X12:individuals,X14:$i]: 43.77/6.19 ( ( reli @ X10 @ X14 ) => 43.77/6.19 ( ![X16:$i]: 43.77/6.19 ( ( relr @ X14 @ X16 ) => 43.77/6.19 ( ![X18:$i]: 43.77/6.19 ( ( reli @ X16 @ X18 ) => ( X4 @ X12 @ X18 ) ) ) ) ) ) ) ) ) ) ) ))). 43.77/6.19 thf(zf_stmt_1, negated_conjecture, 43.77/6.19 (~( ![X4:( individuals > $i > $o ),X6:$i,X8:$i]: 43.77/6.19 ( ( reli @ X6 @ X8 ) => 43.77/6.19 ( ( ![X20:$i]: 43.77/6.19 ( ( reli @ X8 @ X20 ) => 43.77/6.19 ( ![X22:$i]: 43.77/6.19 ( ( relr @ X20 @ X22 ) => 43.77/6.19 ( ![X24:$i]: 43.77/6.19 ( ( reli @ X22 @ X24 ) => 43.77/6.19 ( ![X26:individuals,X28:$i]: 43.77/6.19 ( ( reli @ X24 @ X28 ) => ( X4 @ X26 @ X28 ) ) ) ) ) ) ) ) ) | 43.77/6.19 ( ~( ![X10:$i]: 43.77/6.19 ( ( reli @ X8 @ X10 ) => 43.77/6.19 ( ![X12:individuals,X14:$i]: 43.77/6.19 ( ( reli @ X10 @ X14 ) => 43.77/6.19 ( ![X16:$i]: 43.77/6.19 ( ( relr @ X14 @ X16 ) => 43.77/6.19 ( ![X18:$i]: 43.77/6.19 ( ( reli @ X16 @ X18 ) => ( X4 @ X12 @ X18 ) ) ) ) ) ) ) ) ) ) ) ) )), 43.77/6.19 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 43.77/6.19 thf(zip_derived_cl5, plain, 43.77/6.19 (~ (((!!) @ (^[Y0 : individuals > $i > $o]: 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y1 @ Y2) => 43.77/6.19 (((((!!) @ (^[Y3 : $i]: 43.77/6.19 (((reli @ Y2 @ 43.77/6.19 Y3) => 43.77/6.19 (((!!) @ ( 43.77/6.19 ^[Y4 : $i]: 43.77/6.19 (((relr @ 43.77/6.19 Y3 @ 43.77/6.19 Y4) => 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y5 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y4 @ 43.77/6.19 Y5) => 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y6 : individuals]: 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y7 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y5 @ 43.77/6.19 Y7) => 43.77/6.19 (Y0 @ 43.77/6.19 Y6 @ Y7)))))))))))))))))))))))) | 43.77/6.19 (((~) @ (((!!) @ (^[Y3 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y2 @ 43.77/6.19 Y3) => 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y4 : individuals]: 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y5 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y3 @ 43.77/6.19 Y5) => 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y6 : $i]: 43.77/6.19 (( 43.77/6.19 (relr @ 43.77/6.19 Y5 @ 43.77/6.19 Y6) => 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y7 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y6 @ 43.77/6.19 Y7) => 43.77/6.19 (Y0 @ 43.77/6.19 Y4 @ Y7)))))))))))))))))))))))))))))))))))))))), 43.77/6.19 inference('cnf', [status(esa)], [zf_stmt_1])). 43.77/6.19 thf(zip_derived_cl6, plain, 43.77/6.19 (~ (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ Y0 @ Y1) => 43.77/6.19 (((((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y1 @ Y2) => 43.77/6.19 (((!!) @ (^[Y3 : $i]: 43.77/6.19 (((relr @ Y2 @ 43.77/6.19 Y3) => 43.77/6.19 (((!!) @ ( 43.77/6.19 ^[Y4 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y3 @ 43.77/6.19 Y4) => 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y5 : individuals]: 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y6 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y4 @ 43.77/6.19 Y6) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y5 @ Y6)))))))))))))))))))))))) | 43.77/6.19 (((~) @ (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y1 @ Y2) => 43.77/6.19 (((!!) @ (^[Y3 : individuals]: 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y4 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y2 @ 43.77/6.19 Y4) => 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y5 : $i]: 43.77/6.19 (( 43.77/6.19 (relr @ 43.77/6.19 Y4 @ 43.77/6.19 Y5) => 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y6 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y5 @ 43.77/6.19 Y6) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y3 @ Y6))))))))))))))))))))))))))))))))))))), 43.77/6.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])). 43.77/6.19 thf(zip_derived_cl7, plain, 43.77/6.19 (~ (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ '#sk2' @ Y0) => 43.77/6.19 (((((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ Y0 @ Y1) => 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((relr @ Y1 @ Y2) => 43.77/6.19 (((!!) @ (^[Y3 : $i]: 43.77/6.19 (((reli @ 43.77/6.19 Y2 @ Y3) => 43.77/6.19 (((!!) @ ( 43.77/6.19 ^[Y4 : individuals]: 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y5 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y3 @ 43.77/6.19 Y5) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y4 @ Y5)))))))))))))))))))))))) | 43.77/6.19 (((~) @ (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ Y0 @ Y1) => 43.77/6.19 (((!!) @ (^[Y2 : individuals]: 43.77/6.19 (((!!) @ (^[Y3 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y1 @ 43.77/6.19 Y3) => 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y4 : $i]: 43.77/6.19 (( 43.77/6.19 (relr @ 43.77/6.19 Y3 @ 43.77/6.19 Y4) => 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y5 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y4 @ 43.77/6.19 Y5) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y2 @ Y5)))))))))))))))))))))))))))))))))), 43.77/6.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 43.77/6.19 thf(zip_derived_cl8, plain, 43.77/6.19 (~ (((reli @ '#sk2' @ '#sk3') => 43.77/6.19 (((((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ '#sk3' @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((relr @ Y0 @ Y1) => 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y1 @ Y2) => 43.77/6.19 (((!!) @ (^[Y3 : individuals]: 43.77/6.19 (((!!) @ ( 43.77/6.19 ^[Y4 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y2 @ 43.77/6.19 Y4) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y3 @ Y4)))))))))))))))))))))))) | 43.77/6.19 (((~) @ (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ '#sk3' @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : individuals]: 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y0 @ 43.77/6.19 Y2) => 43.77/6.19 (((!!) @ ( 43.77/6.19 ^[Y3 : $i]: 43.77/6.19 (((relr @ 43.77/6.19 Y2 @ Y3) => 43.77/6.19 (((!!) @ ( 43.77/6.19 ^[Y4 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y3 @ 43.77/6.19 Y4) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y1 @ Y4))))))))))))))))))))))))))))))), 43.77/6.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 43.77/6.19 thf(zip_derived_cl10, plain, 43.77/6.19 (~ (((((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ '#sk3' @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((relr @ Y0 @ Y1) => 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y1 @ Y2) => 43.77/6.19 (((!!) @ (^[Y3 : individuals]: 43.77/6.19 (((!!) @ ( 43.77/6.19 ^[Y4 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y2 @ 43.77/6.19 Y4) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y3 @ Y4)))))))))))))))))))))))) | 43.77/6.19 (((~) @ (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ '#sk3' @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : individuals]: 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y0 @ Y2) => 43.77/6.19 (((!!) @ (^[Y3 : $i]: 43.77/6.19 (( 43.77/6.19 (relr @ 43.77/6.19 Y2 @ 43.77/6.19 Y3) => 43.77/6.19 (( 43.77/6.19 (!!) @ ( 43.77/6.19 ^[Y4 : $i]: 43.77/6.19 (( 43.77/6.19 (reli @ 43.77/6.19 Y3 @ 43.77/6.19 Y4) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y1 @ Y4))))))))))))))))))))))))))))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 43.77/6.19 thf(zip_derived_cl11, plain, 43.77/6.19 (~ (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ '#sk3' @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((relr @ Y0 @ Y1) => 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y1 @ Y2) => 43.77/6.19 (((!!) @ (^[Y3 : individuals]: 43.77/6.19 (((!!) @ ( 43.77/6.19 ^[Y4 : $i]: 43.77/6.19 (((reli @ 43.77/6.19 Y2 @ 43.77/6.19 Y4) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y3 @ Y4))))))))))))))))))))))))), 43.77/6.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl10])). 43.77/6.19 thf(zip_derived_cl13, plain, 43.77/6.19 (~ (((reli @ '#sk3' @ '#sk4') => 43.77/6.19 (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((relr @ '#sk4' @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ Y0 @ Y1) => 43.77/6.19 (((!!) @ (^[Y2 : individuals]: 43.77/6.19 (((!!) @ (^[Y3 : $i]: 43.77/6.19 (((reli @ Y1 @ 43.77/6.19 Y3) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y2 @ Y3)))))))))))))))))))))), 43.77/6.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])). 43.77/6.19 thf(zip_derived_cl16, plain, 43.77/6.19 (~ (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((relr @ '#sk4' @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ Y0 @ Y1) => 43.77/6.19 (((!!) @ (^[Y2 : individuals]: 43.77/6.19 (((!!) @ (^[Y3 : $i]: 43.77/6.19 (((reli @ Y1 @ 43.77/6.19 Y3) => 43.77/6.19 ('#sk1' @ Y2 @ 43.77/6.19 Y3)))))))))))))))))))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])). 43.77/6.19 thf(zip_derived_cl18, plain, 43.77/6.19 (~ (((relr @ '#sk4' @ '#sk5') => 43.77/6.19 (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ '#sk5' @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : individuals]: 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y0 @ Y2) => 43.77/6.19 ('#sk1' @ Y1 @ Y2))))))))))))))))), 43.77/6.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl16])). 43.77/6.19 thf(zip_derived_cl21, plain, 43.77/6.19 (~ (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ '#sk5' @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : individuals]: 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y0 @ Y2) => ('#sk1' @ 43.77/6.19 Y1 @ Y2))))))))))))))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 43.77/6.19 thf(zip_derived_cl23, plain, 43.77/6.19 (~ (((reli @ '#sk5' @ '#sk6') => 43.77/6.19 (((!!) @ (^[Y0 : individuals]: 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ '#sk6' @ Y1) => ('#sk1' @ Y0 @ Y1)))))))))))), 43.77/6.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 43.77/6.19 thf(zip_derived_cl26, plain, 43.77/6.19 (~ (((!!) @ (^[Y0 : individuals]: 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ '#sk6' @ Y1) => ('#sk1' @ Y0 @ Y1)))))))))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 43.77/6.19 thf(zip_derived_cl28, plain, 43.77/6.19 (~ (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ '#sk6' @ Y0) => ('#sk1' @ '#sk7' @ Y0))))))), 43.77/6.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl26])). 43.77/6.19 thf(zip_derived_cl30, plain, 43.77/6.19 (~ (((reli @ '#sk6' @ '#sk8') => ('#sk1' @ '#sk7' @ '#sk8')))), 43.77/6.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])). 43.77/6.19 thf(zip_derived_cl33, plain, (~ ('#sk1' @ '#sk7' @ '#sk8')), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl30])). 43.77/6.19 thf(zip_derived_cl20, plain, ( (relr @ '#sk4' @ '#sk5')), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 43.77/6.19 thf(refl_axiom_i, axiom, 43.77/6.19 (![A:( $i > $o )]: ( mvalid @ ( mimpl @ ( mbox @ reli @ A ) @ A ) ))). 43.77/6.19 thf(zf_stmt_2, axiom, 43.77/6.19 (![X4:( $i > $o ),X6:$i]: 43.77/6.19 ( ( X4 @ X6 ) | ( ~( ![X8:$i]: ( ( reli @ X6 @ X8 ) => ( X4 @ X8 ) ) ) ) ))). 43.77/6.19 thf(zip_derived_cl3, plain, 43.77/6.19 ( (((!!) @ (^[Y0 : $i > $o]: 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((Y0 @ Y1) | 43.77/6.19 (((~) @ (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y1 @ Y2) => 43.77/6.19 (Y0 @ Y2))))))))))))))))), 43.77/6.19 inference('cnf', [status(esa)], [zf_stmt_2])). 43.77/6.19 thf(zip_derived_cl81, plain, 43.77/6.19 (![X2 : $i > $o]: 43.77/6.19 (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((X2 @ Y0) | 43.77/6.19 (((~) @ (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ Y0 @ Y1) => (X2 @ Y1)))))))))))))), 43.77/6.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 43.77/6.19 thf(zip_derived_cl82, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i]: 43.77/6.19 (((X2 @ X4) | 43.77/6.19 (((~) @ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0))))))))))), 43.77/6.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl81])). 43.77/6.19 thf(zip_derived_cl83, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i]: 43.77/6.19 ( (X2 @ X4) 43.77/6.19 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))))), 43.77/6.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl82])). 43.77/6.19 thf(zip_derived_cl84, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i]: 43.77/6.19 (~ (((reli @ X4 @ ('#sk11' @ X2 @ X4)) => (X2 @ ('#sk11' @ X2 @ X4)))) 43.77/6.19 | (X2 @ X4))), 43.77/6.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl83])). 43.77/6.19 thf(zip_derived_cl85, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i]: 43.77/6.19 ( (reli @ X4 @ ('#sk11' @ X2 @ X4)) | (X2 @ X4))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl84])). 43.77/6.19 thf(zip_derived_cl86, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i]: (~ (X2 @ ('#sk11' @ X2 @ X4)) | (X2 @ X4))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl84])). 43.77/6.19 thf(zip_derived_cl96, plain, 43.77/6.19 (![X0 : $i]: ( (reli @ X0 @ X0) | (reli @ X0 @ X0))), 43.77/6.19 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl86])). 43.77/6.19 thf(zip_derived_cl97, plain, (![X0 : $i]: (reli @ X0 @ X0)), 43.77/6.19 inference('simplify', [status(thm)], [zip_derived_cl96])). 43.77/6.19 thf(zip_derived_cl25, plain, ( (reli @ '#sk5' @ '#sk6')), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 43.77/6.19 thf(zip_derived_cl32, plain, ( (reli @ '#sk6' @ '#sk8')), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl30])). 43.77/6.19 thf(trans_axiom_i, axiom, 43.77/6.19 (![A:( $i > $o )]: 43.77/6.19 ( mvalid @ 43.77/6.19 ( mimpl @ ( mbox @ reli @ A ) @ ( mbox @ reli @ ( mbox @ reli @ A ) ) ) ))). 43.77/6.19 thf(zf_stmt_3, axiom, 43.77/6.19 (![X4:( $i > $o ),X6:$i]: 43.77/6.19 ( ( ![X10:$i]: 43.77/6.19 ( ( reli @ X6 @ X10 ) => 43.77/6.19 ( ![X12:$i]: ( ( reli @ X10 @ X12 ) => ( X4 @ X12 ) ) ) ) ) | 43.77/6.19 ( ~( ![X8:$i]: ( ( reli @ X6 @ X8 ) => ( X4 @ X8 ) ) ) ) ))). 43.77/6.19 thf(zip_derived_cl2, plain, 43.77/6.19 ( (((!!) @ (^[Y0 : $i > $o]: 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y1 @ Y2) => 43.77/6.19 (((!!) @ (^[Y3 : $i]: 43.77/6.19 (((reli @ Y2 @ 43.77/6.19 Y3) => (Y0 @ Y3))))))))))) | 43.77/6.19 (((~) @ (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y1 @ Y2) => 43.77/6.19 (Y0 @ Y2))))))))))))))))), 43.77/6.19 inference('cnf', [status(esa)], [zf_stmt_3])). 43.77/6.19 thf(zip_derived_cl102, plain, 43.77/6.19 (![X2 : $i > $o]: 43.77/6.19 (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ Y0 @ Y1) => 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y1 @ Y2) => (X2 @ 43.77/6.19 Y2))))))))))) | 43.77/6.19 (((~) @ (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ Y0 @ Y1) => (X2 @ Y1)))))))))))))), 43.77/6.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])). 43.77/6.19 thf(zip_derived_cl103, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i]: 43.77/6.19 (((((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ X4 @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ Y0 @ Y1) => (X2 @ Y1))))))))))) | 43.77/6.19 (((~) @ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0))))))))))), 43.77/6.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl102])). 43.77/6.19 thf(zip_derived_cl104, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i]: 43.77/6.19 ( (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ X4 @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ Y0 @ Y1) => (X2 @ Y1))))))))))) 43.77/6.19 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))))), 43.77/6.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl103])). 43.77/6.19 thf(zip_derived_cl105, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i, X6 : $i]: 43.77/6.19 ( (((reli @ X4 @ X6) => 43.77/6.19 (((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => (X2 @ Y0)))))))) 43.77/6.19 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))))), 43.77/6.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl104])). 43.77/6.19 thf(zip_derived_cl106, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i, X6 : $i]: 43.77/6.19 (~ (reli @ X4 @ X6) 43.77/6.19 | (((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => (X2 @ Y0)))))) 43.77/6.19 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl105])). 43.77/6.19 thf(zip_derived_cl107, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i, X6 : $i, X8 : $i]: 43.77/6.19 ( (((reli @ X6 @ X8) => (X2 @ X8))) 43.77/6.19 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))) 43.77/6.19 | ~ (reli @ X4 @ X6))), 43.77/6.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl106])). 43.77/6.19 thf(zip_derived_cl108, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i, X6 : $i, X8 : $i]: 43.77/6.19 (~ (reli @ X6 @ X8) 43.77/6.19 | (X2 @ X8) 43.77/6.19 | ~ (reli @ X4 @ X6) 43.77/6.19 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])). 43.77/6.19 thf(zip_derived_cl109, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i, X6 : $i, X8 : $i]: 43.77/6.19 (~ (((reli @ X4 @ ('#sk11' @ X2 @ X4)) => (X2 @ ('#sk11' @ X2 @ X4)))) 43.77/6.19 | ~ (reli @ X4 @ X6) 43.77/6.19 | (X2 @ X8) 43.77/6.19 | ~ (reli @ X6 @ X8))), 43.77/6.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl108])). 43.77/6.19 thf(zip_derived_cl111, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i, X6 : $i, X8 : $i]: 43.77/6.19 (~ (X2 @ ('#sk11' @ X2 @ X4)) 43.77/6.19 | ~ (reli @ X6 @ X8) 43.77/6.19 | (X2 @ X8) 43.77/6.19 | ~ (reli @ X4 @ X6))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])). 43.77/6.19 thf(zip_derived_cl145, plain, 43.77/6.19 (![X0 : $i, X1 : $i > $o]: 43.77/6.19 (~ (reli @ X0 @ '#sk6') 43.77/6.19 | (X1 @ '#sk8') 43.77/6.19 | ~ (X1 @ ('#sk11' @ X1 @ X0)))), 43.77/6.19 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl111])). 43.77/6.19 thf(zip_derived_cl520, plain, 43.77/6.19 (![X0 : $i > $o]: (~ (X0 @ ('#sk11' @ X0 @ '#sk5')) | (X0 @ '#sk8'))), 43.77/6.19 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl145])). 43.77/6.19 thf(zip_derived_cl25, plain, ( (reli @ '#sk5' @ '#sk6')), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 43.77/6.19 thf(zip_derived_cl32, plain, ( (reli @ '#sk6' @ '#sk8')), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl30])). 43.77/6.19 thf(zip_derived_cl110, plain, 43.77/6.19 (![X2 : $i > $o, X4 : $i, X6 : $i, X8 : $i]: 43.77/6.19 ( (reli @ X4 @ ('#sk11' @ X2 @ X4)) 43.77/6.19 | ~ (reli @ X6 @ X8) 43.77/6.19 | (X2 @ X8) 43.77/6.19 | ~ (reli @ X4 @ X6))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])). 43.77/6.19 thf(zip_derived_cl117, plain, 43.77/6.19 (![X0 : $i, X1 : $i > $o]: 43.77/6.19 (~ (reli @ X0 @ '#sk6') 43.77/6.19 | (X1 @ '#sk8') 43.77/6.19 | (reli @ X0 @ ('#sk11' @ X1 @ X0)))), 43.77/6.19 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl110])). 43.77/6.19 thf(zip_derived_cl517, plain, 43.77/6.19 (![X0 : $i > $o]: 43.77/6.19 ( (reli @ '#sk5' @ ('#sk11' @ X0 @ '#sk5')) | (X0 @ '#sk8'))), 43.77/6.19 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl117])). 43.77/6.19 thf(zip_derived_cl3644, plain, 43.77/6.19 (( (reli @ '#sk5' @ '#sk8') | (reli @ '#sk5' @ '#sk8'))), 43.77/6.19 inference('sup+', [status(thm)], [zip_derived_cl520, zip_derived_cl517])). 43.77/6.19 thf(zip_derived_cl3645, plain, ( (reli @ '#sk5' @ '#sk8')), 43.77/6.19 inference('simplify', [status(thm)], [zip_derived_cl3644])). 43.77/6.19 thf(zip_derived_cl12, plain, 43.77/6.19 ( (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ '#sk3' @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : individuals]: 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y0 @ Y2) => 43.77/6.19 (((!!) @ (^[Y3 : $i]: 43.77/6.19 (((relr @ Y2 @ 43.77/6.19 Y3) => 43.77/6.19 (((!!) @ ( 43.77/6.19 ^[Y4 : $i]: 43.77/6.19 (((reli @ 43.77/6.19 Y3 @ Y4) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y1 @ Y4))))))))))))))))))))))))), 43.77/6.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl10])). 43.77/6.19 thf(zip_derived_cl14, plain, 43.77/6.19 (![X2 : $i]: 43.77/6.19 (((reli @ '#sk3' @ X2) => 43.77/6.19 (((!!) @ (^[Y0 : individuals]: 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ X2 @ Y1) => 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((relr @ Y1 @ Y2) => 43.77/6.19 (((!!) @ (^[Y3 : $i]: 43.77/6.19 (((reli @ Y2 @ 43.77/6.19 Y3) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y0 @ Y3)))))))))))))))))))))), 43.77/6.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 43.77/6.19 thf(zip_derived_cl17, plain, 43.77/6.19 (![X2 : $i]: 43.77/6.19 (~ (reli @ '#sk3' @ X2) 43.77/6.19 | (((!!) @ (^[Y0 : individuals]: 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ X2 @ Y1) => 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((relr @ Y1 @ Y2) => 43.77/6.19 (((!!) @ (^[Y3 : $i]: 43.77/6.19 (((reli @ 43.77/6.19 Y2 @ Y3) => 43.77/6.19 ('#sk1' @ 43.77/6.19 Y0 @ Y3))))))))))))))))))))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 43.77/6.19 thf(zip_derived_cl19, plain, 43.77/6.19 (![X2 : $i, X4 : individuals]: 43.77/6.19 ( (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((reli @ X2 @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((relr @ Y0 @ Y1) => 43.77/6.19 (((!!) @ (^[Y2 : $i]: 43.77/6.19 (((reli @ Y1 @ Y2) => 43.77/6.19 ('#sk1' @ X4 @ Y2)))))))))))))))) 43.77/6.19 | ~ (reli @ '#sk3' @ X2))), 43.77/6.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 43.77/6.19 thf(zip_derived_cl22, plain, 43.77/6.19 (![X2 : $i, X4 : individuals, X6 : $i]: 43.77/6.19 ( (((reli @ X2 @ X6) => 43.77/6.19 (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((relr @ X6 @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ Y0 @ Y1) => ('#sk1' @ X4 @ Y1))))))))))))) 43.77/6.19 | ~ (reli @ '#sk3' @ X2))), 43.77/6.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])). 43.77/6.19 thf(zip_derived_cl24, plain, 43.77/6.19 (![X2 : $i, X4 : individuals, X6 : $i]: 43.77/6.19 (~ (reli @ X2 @ X6) 43.77/6.19 | (((!!) @ (^[Y0 : $i]: 43.77/6.19 (((relr @ X6 @ Y0) => 43.77/6.19 (((!!) @ (^[Y1 : $i]: 43.77/6.19 (((reli @ Y0 @ Y1) => ('#sk1' @ X4 @ Y1))))))))))) 43.77/6.19 | ~ (reli @ '#sk3' @ X2))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 43.77/6.19 thf(zip_derived_cl27, plain, 43.77/6.19 (![X2 : $i, X4 : individuals, X6 : $i, X8 : $i]: 43.77/6.19 ( (((relr @ X6 @ X8) => 43.77/6.19 (((!!) @ (^[Y0 : $i]: (((reli @ X8 @ Y0) => ('#sk1' @ X4 @ Y0)))))))) 43.77/6.19 | ~ (reli @ '#sk3' @ X2) 43.77/6.19 | ~ (reli @ X2 @ X6))), 43.77/6.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 43.77/6.19 thf(zip_derived_cl29, plain, 43.77/6.19 (![X2 : $i, X4 : individuals, X6 : $i, X8 : $i]: 43.77/6.19 (~ (relr @ X6 @ X8) 43.77/6.19 | (((!!) @ (^[Y0 : $i]: (((reli @ X8 @ Y0) => ('#sk1' @ X4 @ Y0)))))) 43.77/6.19 | ~ (reli @ X2 @ X6) 43.77/6.19 | ~ (reli @ '#sk3' @ X2))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])). 43.77/6.19 thf(zip_derived_cl31, plain, 43.77/6.19 (![X2 : $i, X4 : individuals, X6 : $i, X8 : $i, X10 : $i]: 43.77/6.19 ( (((reli @ X8 @ X10) => ('#sk1' @ X4 @ X10))) 43.77/6.19 | ~ (reli @ '#sk3' @ X2) 43.77/6.19 | ~ (reli @ X2 @ X6) 43.77/6.19 | ~ (relr @ X6 @ X8))), 43.77/6.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 43.77/6.19 thf(zip_derived_cl34, plain, 43.77/6.19 (![X2 : $i, X4 : individuals, X6 : $i, X8 : $i, X10 : $i]: 43.77/6.19 (~ (reli @ X8 @ X10) 43.77/6.19 | ('#sk1' @ X4 @ X10) 43.77/6.19 | ~ (relr @ X6 @ X8) 43.77/6.19 | ~ (reli @ X2 @ X6) 43.77/6.19 | ~ (reli @ '#sk3' @ X2))), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 43.77/6.19 thf(zip_derived_cl3647, plain, 43.77/6.19 (![X0 : $i, X1 : $i, X2 : individuals]: 43.77/6.19 (~ (reli @ '#sk3' @ X0) 43.77/6.19 | ~ (reli @ X0 @ X1) 43.77/6.19 | ~ (relr @ X1 @ '#sk5') 43.77/6.19 | ('#sk1' @ X2 @ '#sk8'))), 43.77/6.19 inference('sup-', [status(thm)], [zip_derived_cl3645, zip_derived_cl34])). 43.77/6.19 thf(zip_derived_cl4079, plain, 43.77/6.19 (![X0 : individuals, X1 : $i]: 43.77/6.19 ( ('#sk1' @ X0 @ '#sk8') 43.77/6.19 | ~ (relr @ X1 @ '#sk5') 43.77/6.19 | ~ (reli @ '#sk3' @ X1))), 43.77/6.19 inference('sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl3647])). 43.77/6.19 thf(zip_derived_cl4089, plain, 43.77/6.19 (![X0 : individuals]: 43.77/6.19 (~ (reli @ '#sk3' @ '#sk4') | ('#sk1' @ X0 @ '#sk8'))), 43.77/6.19 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl4079])). 43.77/6.19 thf(zip_derived_cl15, plain, ( (reli @ '#sk3' @ '#sk4')), 43.77/6.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])). 43.77/6.19 thf(zip_derived_cl4090, plain, 43.77/6.19 (![X0 : individuals]: ('#sk1' @ X0 @ '#sk8')), 43.77/6.19 inference('demod', [status(thm)], [zip_derived_cl4089, zip_derived_cl15])). 43.77/6.19 thf(zip_derived_cl4384, plain, ($false), 43.77/6.19 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl4090])). 43.77/6.19 43.77/6.19 % SZS output end Refutation 43.77/6.19 43.77/6.19 43.77/6.19 % Terminating... 44.78/6.28 % Runner terminated. 44.78/6.29 % Zipperpin 1.5 exiting 44.78/6.29 EOF