0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XUOAhOfRfN true 0.09/0.30 % Computer : n008.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Tue Aug 9 04:43:54 EDT 2022 0.09/0.30 % CPUTime : 0.09/0.30 % Running portfolio for 960 s 0.09/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.09/0.30 % Number of cores: 8 0.09/0.30 % Python version: Python 3.6.8 0.09/0.30 % Running in HO mode 0.14/0.57 % Total configuration time : 828 0.14/0.57 % Estimated wc time : 1656 0.14/0.57 % Estimated cpu time (8 cpus) : 207.0 1.10/0.65 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 1.10/0.65 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 1.10/0.65 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 1.10/0.65 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 1.10/0.65 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 1.10/0.65 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 1.10/0.66 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 1.10/0.67 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 1.10/0.71 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 1.35/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s 1.35/0.77 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s 1.54/0.84 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s 13.54/2.26 % Solved by lams/15_lifting3.sh. 13.54/2.26 % done 144 iterations in 1.361s 13.54/2.26 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 13.54/2.26 % SZS output start Refutation 13.54/2.26 thf(individuals_type, type, individuals: $tType). 13.54/2.26 thf(cs4_impl_type, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o). 13.54/2.26 thf(bl_impl_type, type, bl_impl: ($i > $o) > ($i > $o) > $i > $o). 13.54/2.26 thf(relr_type, type, relr: $i > $i > $o). 13.54/2.26 thf('#sk5_type', type, '#sk5': $i). 13.54/2.26 thf(loca_type, type, loca: individuals). 13.54/2.26 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 13.54/2.26 thf('#sk8_type', type, '#sk8': $i). 13.54/2.26 thf(reli_type, type, reli: $i > $i > $o). 13.54/2.26 thf('#sk7_type', type, '#sk7': $i). 13.54/2.26 thf('#sk6_type', type, '#sk6': $i). 13.54/2.26 thf('#sk4_type', type, '#sk4': $i). 13.54/2.26 thf(cs4_box_type, type, cs4_box: ($i > $o) > $i > $o). 13.54/2.26 thf(princ_inj_type, type, princ_inj: individuals > $i > $o). 13.54/2.26 thf(cs4_all_type, type, cs4_all: (individuals > $i > $o) > $i > $o). 13.54/2.26 thf(bl_princ_type, type, bl_princ: ($i > $o) > $i > $o). 13.54/2.26 thf('#sk3_type', type, '#sk3': $i). 13.54/2.26 thf('#sk9_type', type, '#sk9': $i > $i). 13.54/2.26 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 13.54/2.26 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 13.54/2.26 thf(bl_atom_type, type, bl_atom: ($i > $o) > $i > $o). 13.54/2.26 thf(cs4_atom_type, type, cs4_atom: ($i > $o) > $i > $o). 13.54/2.26 thf(bl_says_type, type, bl_says: individuals > ($i > $o) > $i > $o). 13.54/2.26 thf('#sk12_type', type, '#sk12': ($i > $o) > $i > $i). 13.54/2.26 thf('#sk1_type', type, '#sk1': individuals). 13.54/2.26 thf('#sk2_type', type, '#sk2': $i > $o). 13.54/2.26 thf(mall_type, type, mall: (individuals > $i > $o) > $i > $o). 13.54/2.26 thf(cs4_valid_type, type, cs4_valid: ($i > $o) > $o). 13.54/2.26 thf(mimpl_type, type, mimpl: ($i > $o) > ($i > $o) > $i > $o). 13.54/2.26 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 13.54/2.26 thf(bl_valid_type, type, bl_valid: ($i > $o) > $o). 13.54/2.26 thf(bl_valid_def, axiom,(( bl_valid ) = (mvalid))). 13.54/2.26 thf(mvalid, axiom,(( mvalid ) = (^[P:( $i > $o )]: ( ![W:$i]: ( P @ W ) )))). 13.54/2.26 thf('0', plain, (( mvalid ) = ( ^[P:( $i > $o )]: ( ![W:$i]: ( P @ W ) ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [mvalid])). 13.54/2.26 thf('1', plain, 13.54/2.26 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf('2', plain, (( bl_valid ) = ( mvalid )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [bl_valid_def, '1'])). 13.54/2.26 thf('3', plain, (( bl_valid ) = ( mvalid )), define([status(thm)])). 13.54/2.26 thf(bl_says, axiom,(( bl_says ) = 13.54/2.26 (^[K:individuals,A:( $i > $o )]: 13.54/2.26 ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ K ) ) @ A ) )))). 13.54/2.26 thf(bl_princ, axiom,(( bl_princ ) = (^[P:( $i > $o )]: ( cs4_atom @ P )))). 13.54/2.26 thf(cs4_atom, axiom,(( cs4_atom ) = 13.54/2.26 (^[P:( $i > $o )]: ( mbox @ reli @ P )))). 13.54/2.26 thf(mbox, axiom,(( mbox ) = 13.54/2.26 (^[R:( $i > $i > $o ),P:( $i > $o ),X:$i]: 13.54/2.26 ( ![Y:$i]: ( ( R @ X @ Y ) => ( P @ Y ) ) )))). 13.54/2.26 thf('4', plain, 13.54/2.26 (( mbox ) = 13.54/2.26 ( ^[R:( $i > $i > $o ),P:( $i > $o ),X:$i]: 13.54/2.26 ( ![Y:$i]: ( ( R @ X @ Y ) => ( P @ Y ) ) ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [mbox])). 13.54/2.26 thf('5', plain, 13.54/2.26 (( mbox ) = 13.54/2.26 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]: 13.54/2.26 ( ![X4:$i]: ( ( V_1 @ V_3 @ X4 ) => ( V_2 @ X4 ) ) ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf('6', plain, (( cs4_atom ) = ( ^[P:( $i > $o )]: ( mbox @ reli @ P ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [cs4_atom, '5'])). 13.54/2.26 thf('7', plain, 13.54/2.26 (( cs4_atom ) = ( ^[V_1:( $i > $o )]: ( mbox @ reli @ V_1 ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf('8', plain, (( bl_princ ) = ( ^[P:( $i > $o )]: ( cs4_atom @ P ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [bl_princ, '7', '5'])). 13.54/2.26 thf('9', plain, (( bl_princ ) = ( ^[V_1:( $i > $o )]: ( cs4_atom @ V_1 ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf(cs4_box, axiom,(( cs4_box ) = 13.54/2.26 (^[A:( $i > $o )]: ( mbox @ reli @ ( mbox @ relr @ A ) )))). 13.54/2.26 thf('10', plain, 13.54/2.26 (( cs4_box ) = 13.54/2.26 ( ^[A:( $i > $o )]: ( mbox @ reli @ ( mbox @ relr @ A ) ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [cs4_box, '5'])). 13.54/2.26 thf('11', plain, 13.54/2.26 (( cs4_box ) = 13.54/2.26 ( ^[V_1:( $i > $o )]: ( mbox @ reli @ ( mbox @ relr @ V_1 ) ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf(cs4_impl, axiom,(( cs4_impl ) = 13.54/2.26 (^[A:( $i > $o ),B:( $i > $o )]: ( mbox @ reli @ ( mimpl @ A @ B ) )))). 13.54/2.26 thf(mimpl, axiom,(( mimpl ) = 13.54/2.26 (^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V )))). 13.54/2.26 thf(mor, axiom,(( mor ) = 13.54/2.26 (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) )))). 13.54/2.26 thf('12', plain, 13.54/2.26 (( mor ) = 13.54/2.26 ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [mor])). 13.54/2.26 thf('13', plain, 13.54/2.26 (( mor ) = 13.54/2.26 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 13.54/2.26 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf(mnot, axiom,(( mnot ) = (^[X:( $i > $o ),U:$i]: ( ~( X @ U ) )))). 13.54/2.26 thf('14', plain, (( mnot ) = ( ^[X:( $i > $o ),U:$i]: ( ~( X @ U ) ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [mnot])). 13.54/2.26 thf('15', plain, 13.54/2.26 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf('16', plain, 13.54/2.26 (( mimpl ) = 13.54/2.26 ( ^[U:( $i > $o ),V:( $i > $o )]: ( mor @ ( mnot @ U ) @ V ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [mimpl, '13', '15'])). 13.54/2.26 thf('17', plain, 13.54/2.26 (( mimpl ) = 13.54/2.26 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf('18', plain, 13.54/2.26 (( cs4_impl ) = 13.54/2.26 ( ^[A:( $i > $o ),B:( $i > $o )]: ( mbox @ reli @ ( mimpl @ A @ B ) ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], 13.54/2.26 [cs4_impl, '5', '17', '13', '15'])). 13.54/2.26 thf('19', plain, 13.54/2.26 (( cs4_impl ) = 13.54/2.26 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 13.54/2.26 ( mbox @ reli @ ( mimpl @ V_1 @ V_2 ) ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf('20', plain, 13.54/2.26 (( bl_says ) = 13.54/2.26 ( ^[K:individuals,A:( $i > $o )]: 13.54/2.26 ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ K ) ) @ A ) ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], 13.54/2.26 [bl_says, '9', '11', '19', '7', '5', '17', '13', '15'])). 13.54/2.26 thf('21', plain, 13.54/2.26 (( bl_says ) = 13.54/2.26 ( ^[V_1:individuals,V_2:( $i > $o )]: 13.54/2.26 ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ V_1 ) ) @ V_2 ) ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf(bl_impl, axiom,(( bl_impl ) = 13.54/2.26 (^[A:( $i > $o ),B:( $i > $o )]: ( cs4_impl @ A @ B )))). 13.54/2.26 thf('22', plain, 13.54/2.26 (( bl_impl ) = ( ^[A:( $i > $o ),B:( $i > $o )]: ( cs4_impl @ A @ B ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], 13.54/2.26 [bl_impl, '19', '5', '17', '13', '15'])). 13.54/2.26 thf('23', plain, 13.54/2.26 (( bl_impl ) = 13.54/2.26 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( cs4_impl @ V_1 @ V_2 ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf(bl_atom, axiom,(( bl_atom ) = (^[P:( $i > $o )]: ( cs4_atom @ P )))). 13.54/2.26 thf('24', plain, (( bl_atom ) = ( ^[P:( $i > $o )]: ( cs4_atom @ P ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [bl_atom, '7', '5'])). 13.54/2.26 thf('25', plain, (( bl_atom ) = ( ^[V_1:( $i > $o )]: ( cs4_atom @ V_1 ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf(bl_strength, conjecture, 13.54/2.26 (![K:individuals,A:( $i > $o )]: 13.54/2.26 ( bl_valid @ 13.54/2.26 ( bl_impl @ 13.54/2.26 ( bl_says @ loca @ ( bl_atom @ A ) ) @ 13.54/2.26 ( bl_says @ K @ ( bl_atom @ A ) ) ) ))). 13.54/2.26 thf(zf_stmt_0, conjecture, 13.54/2.26 (![X4:individuals,X6:( $i > $o ),X8:$i,X10:$i]: 13.54/2.26 ( ( reli @ X8 @ X10 ) => 13.54/2.26 ( ( ![X22:$i]: 13.54/2.26 ( ( reli @ X10 @ X22 ) => 13.54/2.26 ( ![X24:$i]: 13.54/2.26 ( ( relr @ X22 @ X24 ) => 13.54/2.26 ( ![X26:$i]: 13.54/2.26 ( ( reli @ X24 @ X26 ) => 13.54/2.26 ( ( ![X30:$i]: ( ( reli @ X26 @ X30 ) => ( X6 @ X30 ) ) ) | 13.54/2.26 ( ~( ![X28:$i]: 13.54/2.26 ( ( reli @ X26 @ X28 ) => ( princ_inj @ X4 @ X28 ) ) ) ) ) ) ) ) ) ) ) | 13.54/2.26 ( ~( ![X12:$i]: 13.54/2.26 ( ( reli @ X10 @ X12 ) => 13.54/2.26 ( ![X14:$i]: 13.54/2.26 ( ( relr @ X12 @ X14 ) => 13.54/2.26 ( ![X16:$i]: 13.54/2.26 ( ( reli @ X14 @ X16 ) => 13.54/2.26 ( ( ![X20:$i]: ( ( reli @ X16 @ X20 ) => ( X6 @ X20 ) ) ) | 13.54/2.26 ( ~( ![X18:$i]: 13.54/2.26 ( ( reli @ X16 @ X18 ) => 13.54/2.26 ( princ_inj @ loca @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 13.54/2.26 thf(zf_stmt_1, negated_conjecture, 13.54/2.26 (~( ![X4:individuals,X6:( $i > $o ),X8:$i,X10:$i]: 13.54/2.26 ( ( reli @ X8 @ X10 ) => 13.54/2.26 ( ( ![X22:$i]: 13.54/2.26 ( ( reli @ X10 @ X22 ) => 13.54/2.26 ( ![X24:$i]: 13.54/2.26 ( ( relr @ X22 @ X24 ) => 13.54/2.26 ( ![X26:$i]: 13.54/2.26 ( ( reli @ X24 @ X26 ) => 13.54/2.26 ( ( ![X30:$i]: ( ( reli @ X26 @ X30 ) => ( X6 @ X30 ) ) ) | 13.54/2.26 ( ~( ![X28:$i]: 13.54/2.26 ( ( reli @ X26 @ X28 ) => 13.54/2.26 ( princ_inj @ X4 @ X28 ) ) ) ) ) ) ) ) ) ) ) | 13.54/2.26 ( ~( ![X12:$i]: 13.54/2.26 ( ( reli @ X10 @ X12 ) => 13.54/2.26 ( ![X14:$i]: 13.54/2.26 ( ( relr @ X12 @ X14 ) => 13.54/2.26 ( ![X16:$i]: 13.54/2.26 ( ( reli @ X14 @ X16 ) => 13.54/2.26 ( ( ![X20:$i]: 13.54/2.26 ( ( reli @ X16 @ X20 ) => ( X6 @ X20 ) ) ) | 13.54/2.26 ( ~( ![X18:$i]: 13.54/2.26 ( ( reli @ X16 @ X18 ) => 13.54/2.26 ( princ_inj @ loca @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 13.54/2.26 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 13.54/2.26 thf(zip_derived_cl6, plain, 13.54/2.26 (~ (((!!) @ (^[Y0 : individuals]: 13.54/2.26 (((!!) @ (^[Y1 : $i > $o]: 13.54/2.26 (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((!!) @ (^[Y3 : $i]: 13.54/2.26 (((reli @ Y2 @ Y3) => 13.54/2.26 (((((!!) @ ( 13.54/2.26 ^[Y4 : $i]: 13.54/2.26 (((reli @ 13.54/2.26 Y3 @ Y4) => 13.54/2.26 (((!!) @ ( 13.54/2.26 ^[Y5 : $i]: 13.54/2.26 (( 13.54/2.26 (relr @ 13.54/2.26 Y4 @ 13.54/2.26 Y5) => 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y6 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y5 @ 13.54/2.26 Y6) => 13.54/2.26 (( 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y7 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y6 @ 13.54/2.26 Y7) => 13.54/2.26 (Y1 @ Y7)))))) | 13.54/2.26 (( 13.54/2.26 (~) @ ( 13.54/2.26 ( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y7 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y6 @ 13.54/2.26 Y7) => 13.54/2.26 (princ_inj @ 13.54/2.26 Y0 @ Y7))))))))))))))))))))))))) | 13.54/2.26 (((~) @ (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y4 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y3 @ 13.54/2.26 Y4) => 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y5 : $i]: 13.54/2.26 (( 13.54/2.26 (relr @ 13.54/2.26 Y4 @ 13.54/2.26 Y5) => 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y6 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y5 @ 13.54/2.26 Y6) => 13.54/2.26 (( 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y7 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y6 @ 13.54/2.26 Y7) => 13.54/2.26 (Y1 @ Y7)))))) | 13.54/2.26 (( 13.54/2.26 (~) @ ( 13.54/2.26 ( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y7 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y6 @ 13.54/2.26 Y7) => 13.54/2.26 (princ_inj @ 13.54/2.26 loca @ 13.54/2.26 Y7)))))))))))))))))))))))))))))))))))))))))))), 13.54/2.26 inference('cnf', [status(esa)], [zf_stmt_1])). 13.54/2.26 thf(zip_derived_cl7, plain, 13.54/2.26 (~ (((!!) @ (^[Y0 : $i > $o]: 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ Y2) => 13.54/2.26 (((((!!) @ (^[Y3 : $i]: 13.54/2.26 (((reli @ Y2 @ 13.54/2.26 Y3) => 13.54/2.26 (((!!) @ ( 13.54/2.26 ^[Y4 : $i]: 13.54/2.26 (((relr @ 13.54/2.26 Y3 @ 13.54/2.26 Y4) => 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y5 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y4 @ 13.54/2.26 Y5) => 13.54/2.26 (( 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y6 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y5 @ 13.54/2.26 Y6) => 13.54/2.26 (Y0 @ Y6)))))) | 13.54/2.26 (( 13.54/2.26 (~) @ ( 13.54/2.26 ( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y6 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y5 @ 13.54/2.26 Y6) => 13.54/2.26 (princ_inj @ 13.54/2.26 '#sk1' @ 13.54/2.26 Y6))))))))))))))))))))))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y3 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y2 @ 13.54/2.26 Y3) => 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y4 : $i]: 13.54/2.26 (( 13.54/2.26 (relr @ 13.54/2.26 Y3 @ 13.54/2.26 Y4) => 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y5 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y4 @ 13.54/2.26 Y5) => 13.54/2.26 (( 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y6 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y5 @ 13.54/2.26 Y6) => 13.54/2.26 (Y0 @ Y6)))))) | 13.54/2.26 (( 13.54/2.26 (~) @ ( 13.54/2.26 ( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y6 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y5 @ 13.54/2.26 Y6) => 13.54/2.26 (princ_inj @ 13.54/2.26 loca @ 13.54/2.26 Y6))))))))))))))))))))))))))))))))))))))))), 13.54/2.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 13.54/2.26 thf(zip_derived_cl8, plain, 13.54/2.26 (~ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => 13.54/2.26 (((((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ Y2) => 13.54/2.26 (((!!) @ (^[Y3 : $i]: 13.54/2.26 (((relr @ Y2 @ 13.54/2.26 Y3) => 13.54/2.26 (((!!) @ ( 13.54/2.26 ^[Y4 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y3 @ 13.54/2.26 Y4) => 13.54/2.26 (( 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y5 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y4 @ 13.54/2.26 Y5) => 13.54/2.26 ('#sk2' @ 13.54/2.26 Y5)))))) | 13.54/2.26 (( 13.54/2.26 (~) @ ( 13.54/2.26 ( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y5 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y4 @ 13.54/2.26 Y5) => 13.54/2.26 (princ_inj @ 13.54/2.26 '#sk1' @ 13.54/2.26 Y5))))))))))))))))))))))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ Y2) => 13.54/2.26 (((!!) @ (^[Y3 : $i]: 13.54/2.26 (( 13.54/2.26 (relr @ 13.54/2.26 Y2 @ 13.54/2.26 Y3) => 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y4 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y3 @ 13.54/2.26 Y4) => 13.54/2.26 (( 13.54/2.26 (( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y5 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y4 @ 13.54/2.26 Y5) => 13.54/2.26 ('#sk2' @ 13.54/2.26 Y5)))))) | 13.54/2.26 (( 13.54/2.26 (~) @ ( 13.54/2.26 ( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y5 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y4 @ 13.54/2.26 Y5) => 13.54/2.26 (princ_inj @ 13.54/2.26 loca @ 13.54/2.26 Y5)))))))))))))))))))))))))))))))))))))), 13.54/2.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 13.54/2.26 thf(zip_derived_cl9, plain, 13.54/2.26 (~ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ '#sk3' @ Y0) => 13.54/2.26 (((((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => 13.54/2.26 (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((relr @ Y1 @ Y2) => 13.54/2.26 (((!!) @ (^[Y3 : $i]: 13.54/2.26 (((reli @ 13.54/2.26 Y2 @ Y3) => 13.54/2.26 (((( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y4 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y3 @ 13.54/2.26 Y4) => 13.54/2.26 ('#sk2' @ 13.54/2.26 Y4)))))) | 13.54/2.26 (( 13.54/2.26 (~) @ ( 13.54/2.26 ((!!) @ ( 13.54/2.26 ^[Y4 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y3 @ 13.54/2.26 Y4) => 13.54/2.26 (princ_inj @ 13.54/2.26 '#sk1' @ 13.54/2.26 Y4))))))))))))))))))))))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => 13.54/2.26 (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((relr @ Y1 @ 13.54/2.26 Y2) => 13.54/2.26 (((!!) @ ( 13.54/2.26 ^[Y3 : $i]: 13.54/2.26 (((reli @ 13.54/2.26 Y2 @ Y3) => 13.54/2.26 (((( 13.54/2.26 (!!) @ ( 13.54/2.26 ^[Y4 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y3 @ 13.54/2.26 Y4) => 13.54/2.26 ('#sk2' @ 13.54/2.26 Y4)))))) | 13.54/2.26 (( 13.54/2.26 (~) @ ( 13.54/2.26 ((!!) @ ( 13.54/2.26 ^[Y4 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y3 @ 13.54/2.26 Y4) => 13.54/2.26 (princ_inj @ 13.54/2.26 loca @ 13.54/2.26 Y4))))))))))))))))))))))))))))))))))), 13.54/2.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 13.54/2.26 thf(zip_derived_cl10, plain, 13.54/2.26 (~ (((reli @ '#sk3' @ '#sk4') => 13.54/2.26 (((((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ '#sk4' @ Y0) => 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((relr @ Y0 @ Y1) => 13.54/2.26 (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ Y2) => 13.54/2.26 (((((!!) @ (^[Y3 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y2 @ 13.54/2.26 Y3) => 13.54/2.26 ('#sk2' @ 13.54/2.26 Y3)))))) | 13.54/2.26 (((~) @ (((!!) @ ( 13.54/2.26 ^[Y3 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y2 @ 13.54/2.26 Y3) => 13.54/2.26 (princ_inj @ 13.54/2.26 '#sk1' @ 13.54/2.26 Y3))))))))))))))))))))))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ '#sk4' @ Y0) => 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((relr @ Y0 @ Y1) => 13.54/2.26 (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ 13.54/2.26 Y2) => 13.54/2.26 (((((!!) @ ( 13.54/2.26 ^[Y3 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y2 @ 13.54/2.26 Y3) => 13.54/2.26 ('#sk2' @ 13.54/2.26 Y3)))))) | 13.54/2.26 (((~) @ ( 13.54/2.26 ((!!) @ ( 13.54/2.26 ^[Y3 : $i]: 13.54/2.26 ( 13.54/2.26 ( 13.54/2.26 (reli @ 13.54/2.26 Y2 @ 13.54/2.26 Y3) => 13.54/2.26 (princ_inj @ 13.54/2.26 loca @ 13.54/2.26 Y3)))))))))))))))))))))))))))))))), 13.54/2.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])). 13.54/2.26 thf(zip_derived_cl12, plain, 13.54/2.26 (~ (((((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ '#sk4' @ Y0) => 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((relr @ Y0 @ Y1) => 13.54/2.26 (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ Y2) => 13.54/2.26 (((((!!) @ (^[Y3 : $i]: 13.54/2.26 (((reli @ 13.54/2.26 Y2 @ 13.54/2.26 Y3) => 13.54/2.26 ('#sk2' @ 13.54/2.26 Y3)))))) | 13.54/2.26 (((~) @ (((!!) @ ( 13.54/2.26 ^[Y3 : $i]: 13.54/2.26 (((reli @ 13.54/2.26 Y2 @ 13.54/2.26 Y3) => 13.54/2.26 (princ_inj @ 13.54/2.26 '#sk1' @ 13.54/2.26 Y3))))))))))))))))))))))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ '#sk4' @ Y0) => 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((relr @ Y0 @ Y1) => 13.54/2.26 (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ 13.54/2.26 Y2) => 13.54/2.26 (((((!!) @ ( 13.54/2.26 ^[Y3 : $i]: 13.54/2.26 (((reli @ 13.54/2.26 Y2 @ 13.54/2.26 Y3) => 13.54/2.26 ('#sk2' @ 13.54/2.26 Y3)))))) | 13.54/2.26 (((~) @ ( 13.54/2.26 ((!!) @ ( 13.54/2.26 ^[Y3 : $i]: 13.54/2.26 (((reli @ 13.54/2.26 Y2 @ 13.54/2.26 Y3) => 13.54/2.26 (princ_inj @ 13.54/2.26 loca @ 13.54/2.26 Y3)))))))))))))))))))))))))))))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 13.54/2.26 thf(zip_derived_cl13, plain, 13.54/2.26 (~ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ '#sk4' @ Y0) => 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((relr @ Y0 @ Y1) => 13.54/2.26 (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ Y2) => 13.54/2.26 (((((!!) @ (^[Y3 : $i]: 13.54/2.26 (((reli @ 13.54/2.26 Y2 @ Y3) => 13.54/2.26 ('#sk2' @ 13.54/2.26 Y3)))))) | 13.54/2.26 (((~) @ (((!!) @ ( 13.54/2.26 ^[Y3 : $i]: 13.54/2.26 (((reli @ 13.54/2.26 Y2 @ Y3) => 13.54/2.26 (princ_inj @ 13.54/2.26 '#sk1' @ Y3)))))))))))))))))))))))))), 13.54/2.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl12])). 13.54/2.26 thf(zip_derived_cl15, plain, 13.54/2.26 (~ (((reli @ '#sk4' @ '#sk5') => 13.54/2.26 (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((relr @ '#sk5' @ Y0) => 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => 13.54/2.26 (((((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ Y2) => 13.54/2.26 ('#sk2' @ Y2)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ 13.54/2.26 Y2) => 13.54/2.26 (princ_inj @ 13.54/2.26 '#sk1' @ Y2))))))))))))))))))))))), 13.54/2.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl13])). 13.54/2.26 thf(zip_derived_cl17, plain, ( (reli @ '#sk4' @ '#sk5')), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 13.54/2.26 thf(zip_derived_cl18, plain, 13.54/2.26 (~ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((relr @ '#sk5' @ Y0) => 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => 13.54/2.26 (((((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ Y2) => 13.54/2.26 ('#sk2' @ Y2)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ 13.54/2.26 Y2) => 13.54/2.26 (princ_inj @ 13.54/2.26 '#sk1' @ Y2))))))))))))))))))))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 13.54/2.26 thf(zip_derived_cl20, plain, 13.54/2.26 (~ (((relr @ '#sk5' @ '#sk6') => 13.54/2.26 (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ '#sk6' @ Y0) => 13.54/2.26 (((((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => ('#sk2' @ Y1)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => 13.54/2.26 (princ_inj @ '#sk1' @ Y1)))))))))))))))))), 13.54/2.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl18])). 13.54/2.26 thf(zip_derived_cl23, plain, 13.54/2.26 (~ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ '#sk6' @ Y0) => 13.54/2.26 (((((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => ('#sk2' @ Y1)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => 13.54/2.26 (princ_inj @ '#sk1' @ Y1)))))))))))))))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 13.54/2.26 thf(zip_derived_cl25, plain, 13.54/2.26 (~ (((reli @ '#sk6' @ '#sk7') => 13.54/2.26 (((((!!) @ (^[Y0 : $i]: (((reli @ '#sk7' @ Y0) => ('#sk2' @ Y0)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ '#sk7' @ Y0) => (princ_inj @ 13.54/2.26 '#sk1' @ Y0))))))))))))), 13.54/2.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl23])). 13.54/2.26 thf(zip_derived_cl27, plain, ( (reli @ '#sk6' @ '#sk7')), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 13.54/2.26 thf(zip_derived_cl28, plain, 13.54/2.26 (~ (((((!!) @ (^[Y0 : $i]: (((reli @ '#sk7' @ Y0) => ('#sk2' @ Y0)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ '#sk7' @ Y0) => (princ_inj @ '#sk1' @ 13.54/2.26 Y0))))))))))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 13.54/2.26 thf(zip_derived_cl30, plain, 13.54/2.26 (~ (((!!) @ (^[Y0 : $i]: (((reli @ '#sk7' @ Y0) => ('#sk2' @ Y0))))))), 13.54/2.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl28])). 13.54/2.26 thf(zip_derived_cl33, plain, 13.54/2.26 (~ (((reli @ '#sk7' @ '#sk8') => ('#sk2' @ '#sk8')))), 13.54/2.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl30])). 13.54/2.26 thf(zip_derived_cl36, plain, ( (reli @ '#sk7' @ '#sk8')), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])). 13.54/2.26 thf(zip_derived_cl14, plain, 13.54/2.26 ( (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ '#sk4' @ Y0) => 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((relr @ Y0 @ Y1) => 13.54/2.26 (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ Y2) => 13.54/2.26 (((((!!) @ (^[Y3 : $i]: 13.54/2.26 (((reli @ Y2 @ 13.54/2.26 Y3) => 13.54/2.26 ('#sk2' @ Y3)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y3 : $i]: 13.54/2.26 (( 13.54/2.26 (reli @ 13.54/2.26 Y2 @ 13.54/2.26 Y3) => 13.54/2.26 (princ_inj @ 13.54/2.26 loca @ 13.54/2.26 Y3)))))))))))))))))))))))))), 13.54/2.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl12])). 13.54/2.26 thf(zip_derived_cl16, plain, 13.54/2.26 (![X2 : $i]: 13.54/2.26 (((reli @ '#sk4' @ X2) => 13.54/2.26 (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((relr @ X2 @ Y0) => 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => 13.54/2.26 (((((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ Y2) => 13.54/2.26 ('#sk2' @ Y2)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ 13.54/2.26 Y2) => 13.54/2.26 (princ_inj @ 13.54/2.26 loca @ Y2))))))))))))))))))))))), 13.54/2.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 13.54/2.26 thf(zip_derived_cl19, plain, 13.54/2.26 (![X2 : $i]: 13.54/2.26 (~ (reli @ '#sk4' @ X2) 13.54/2.26 | (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((relr @ X2 @ Y0) => 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => 13.54/2.26 (((((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ Y2) => 13.54/2.26 ('#sk2' @ Y2)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ 13.54/2.26 Y2) => 13.54/2.26 (princ_inj @ 13.54/2.26 loca @ Y2)))))))))))))))))))))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 13.54/2.26 thf(zip_derived_cl21, plain, 13.54/2.26 (![X2 : $i, X4 : $i]: 13.54/2.26 ( (((relr @ X2 @ X4) => 13.54/2.26 (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ X4 @ Y0) => 13.54/2.26 (((((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => ('#sk2' @ Y1)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => 13.54/2.26 (princ_inj @ loca @ Y1))))))))))))))))) 13.54/2.26 | ~ (reli @ '#sk4' @ X2))), 13.54/2.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])). 13.54/2.26 thf(zip_derived_cl24, plain, 13.54/2.26 (![X2 : $i, X4 : $i]: 13.54/2.26 (~ (relr @ X2 @ X4) 13.54/2.26 | (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ X4 @ Y0) => 13.54/2.26 (((((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => ('#sk2' @ Y1)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => 13.54/2.26 (princ_inj @ loca @ Y1))))))))))))))) 13.54/2.26 | ~ (reli @ '#sk4' @ X2))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 13.54/2.26 thf(zip_derived_cl26, plain, 13.54/2.26 (![X2 : $i, X4 : $i, X6 : $i]: 13.54/2.26 ( (((reli @ X4 @ X6) => 13.54/2.26 (((((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => ('#sk2' @ Y0)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ X6 @ Y0) => (princ_inj @ loca @ 13.54/2.26 Y0)))))))))))) 13.54/2.26 | ~ (reli @ '#sk4' @ X2) 13.54/2.26 | ~ (relr @ X2 @ X4))), 13.54/2.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 13.54/2.26 thf(zip_derived_cl29, plain, 13.54/2.26 (![X2 : $i, X4 : $i, X6 : $i]: 13.54/2.26 (~ (reli @ X4 @ X6) 13.54/2.26 | (((((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => ('#sk2' @ Y0)))))) | 13.54/2.26 (((~) @ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ X6 @ Y0) => (princ_inj @ loca @ 13.54/2.26 Y0)))))))))) 13.54/2.26 | ~ (relr @ X2 @ X4) 13.54/2.26 | ~ (reli @ '#sk4' @ X2))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl26])). 13.54/2.26 thf(zip_derived_cl32, plain, 13.54/2.26 (![X2 : $i, X4 : $i, X6 : $i]: 13.54/2.26 ( (((!!) @ (^[Y0 : $i]: (((reli @ X6 @ Y0) => ('#sk2' @ Y0)))))) 13.54/2.26 | ~ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ X6 @ Y0) => (princ_inj @ loca @ Y0)))))) 13.54/2.26 | ~ (reli @ '#sk4' @ X2) 13.54/2.26 | ~ (relr @ X2 @ X4) 13.54/2.26 | ~ (reli @ X4 @ X6))), 13.54/2.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl29])). 13.54/2.26 thf(zip_derived_cl35, plain, 13.54/2.26 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 13.54/2.26 ( (((reli @ X6 @ X8) => ('#sk2' @ X8))) 13.54/2.26 | ~ (reli @ X4 @ X6) 13.54/2.26 | ~ (relr @ X2 @ X4) 13.54/2.26 | ~ (reli @ '#sk4' @ X2) 13.54/2.26 | ~ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ X6 @ Y0) => (princ_inj @ loca @ Y0)))))))), 13.54/2.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 13.54/2.26 thf(zip_derived_cl39, plain, 13.54/2.26 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 13.54/2.26 (~ (reli @ X6 @ X8) 13.54/2.26 | ('#sk2' @ X8) 13.54/2.26 | ~ (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ X6 @ Y0) => (princ_inj @ loca @ Y0)))))) 13.54/2.26 | ~ (reli @ '#sk4' @ X2) 13.54/2.26 | ~ (relr @ X2 @ X4) 13.54/2.26 | ~ (reli @ X4 @ X6))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])). 13.54/2.26 thf(zip_derived_cl40, plain, 13.54/2.26 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 13.54/2.26 (~ (((reli @ X6 @ ('#sk9' @ X6)) => (princ_inj @ loca @ ('#sk9' @ X6)))) 13.54/2.26 | ~ (reli @ X4 @ X6) 13.54/2.26 | ~ (relr @ X2 @ X4) 13.54/2.26 | ~ (reli @ '#sk4' @ X2) 13.54/2.26 | ('#sk2' @ X8) 13.54/2.26 | ~ (reli @ X6 @ X8))), 13.54/2.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl39])). 13.54/2.26 thf(zip_derived_cl41, plain, 13.54/2.26 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 13.54/2.26 ( (reli @ X6 @ ('#sk9' @ X6)) 13.54/2.26 | ~ (reli @ X6 @ X8) 13.54/2.26 | ('#sk2' @ X8) 13.54/2.26 | ~ (reli @ '#sk4' @ X2) 13.54/2.26 | ~ (relr @ X2 @ X4) 13.54/2.26 | ~ (reli @ X4 @ X6))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])). 13.54/2.26 thf(zip_derived_cl66, plain, 13.54/2.26 (![X0 : $i, X1 : $i]: 13.54/2.26 (~ (reli @ X0 @ '#sk7') 13.54/2.26 | ~ (relr @ X1 @ X0) 13.54/2.26 | ~ (reli @ '#sk4' @ X1) 13.54/2.26 | ('#sk2' @ '#sk8') 13.54/2.26 | (reli @ '#sk7' @ ('#sk9' @ '#sk7')))), 13.54/2.26 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl41])). 13.54/2.26 thf(zip_derived_cl37, plain, (~ ('#sk2' @ '#sk8')), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])). 13.54/2.26 thf(zip_derived_cl68, plain, 13.54/2.26 (![X0 : $i, X1 : $i]: 13.54/2.26 (~ (reli @ X0 @ '#sk7') 13.54/2.26 | ~ (relr @ X1 @ X0) 13.54/2.26 | ~ (reli @ '#sk4' @ X1) 13.54/2.26 | (reli @ '#sk7' @ ('#sk9' @ '#sk7')))), 13.54/2.26 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl37])). 13.54/2.26 thf(zip_derived_cl589, plain, 13.54/2.26 (![X0 : $i]: 13.54/2.26 ( (reli @ '#sk7' @ ('#sk9' @ '#sk7')) 13.54/2.26 | ~ (reli @ '#sk4' @ X0) 13.54/2.26 | ~ (relr @ X0 @ '#sk6'))), 13.54/2.26 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl68])). 13.54/2.26 thf(zip_derived_cl628, plain, 13.54/2.26 ((~ (relr @ '#sk5' @ '#sk6') | (reli @ '#sk7' @ ('#sk9' @ '#sk7')))), 13.54/2.26 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl589])). 13.54/2.26 thf(zip_derived_cl22, plain, ( (relr @ '#sk5' @ '#sk6')), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 13.54/2.26 thf(zip_derived_cl629, plain, ( (reli @ '#sk7' @ ('#sk9' @ '#sk7'))), 13.54/2.26 inference('demod', [status(thm)], [zip_derived_cl628, zip_derived_cl22])). 13.54/2.26 thf(zip_derived_cl31, plain, 13.54/2.26 ( (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ '#sk7' @ Y0) => (princ_inj @ '#sk1' @ Y0))))))), 13.54/2.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl28])). 13.54/2.26 thf(zip_derived_cl34, plain, 13.54/2.26 (![X2 : $i]: (((reli @ '#sk7' @ X2) => (princ_inj @ '#sk1' @ X2)))), 13.54/2.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl31])). 13.54/2.26 thf(zip_derived_cl38, plain, 13.54/2.26 (![X2 : $i]: (~ (reli @ '#sk7' @ X2) | (princ_inj @ '#sk1' @ X2))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])). 13.54/2.26 thf(zip_derived_cl644, plain, ( (princ_inj @ '#sk1' @ ('#sk9' @ '#sk7'))), 13.54/2.26 inference('sup-', [status(thm)], [zip_derived_cl629, zip_derived_cl38])). 13.54/2.26 thf(cs4_valid_def, axiom,(( cs4_valid ) = 13.54/2.26 (^[A:( $i > $o )]: ( mvalid @ A )))). 13.54/2.26 thf('26', plain, (( cs4_valid ) = ( ^[A:( $i > $o )]: ( mvalid @ A ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [cs4_valid_def, '1'])). 13.54/2.26 thf('27', plain, (( cs4_valid ) = ( ^[V_1:( $i > $o )]: ( mvalid @ V_1 ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf(cs4_all, axiom,(( cs4_all ) = 13.54/2.26 (^[A:( individuals > $i > $o )]: ( mbox @ reli @ ( mall @ A ) )))). 13.54/2.26 thf(mall, axiom,(( mall ) = 13.54/2.26 (^[P:( individuals > $i > $o ),W:$i]: ( ![X:individuals]: ( P @ X @ W ) )))). 13.54/2.26 thf('28', plain, 13.54/2.26 (( mall ) = 13.54/2.26 ( ^[P:( individuals > $i > $o ),W:$i]: 13.54/2.26 ( ![X:individuals]: ( P @ X @ W ) ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [mall])). 13.54/2.26 thf('29', plain, 13.54/2.26 (( mall ) = 13.54/2.26 ( ^[V_1:( individuals > $i > $o ),V_2:$i]: 13.54/2.26 ( ![X4:individuals]: ( V_1 @ X4 @ V_2 ) ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf('30', plain, 13.54/2.26 (( cs4_all ) = 13.54/2.26 ( ^[A:( individuals > $i > $o )]: ( mbox @ reli @ ( mall @ A ) ) )), 13.54/2.26 inference('simplify_rw_rule', [status(thm)], [cs4_all, '29', '5'])). 13.54/2.26 thf('31', plain, 13.54/2.26 (( cs4_all ) = 13.54/2.26 ( ^[V_1:( individuals > $i > $o )]: ( mbox @ reli @ ( mall @ V_1 ) ) )), 13.54/2.26 define([status(thm)])). 13.54/2.26 thf(loca_strength, axiom, 13.54/2.26 (cs4_valid @ 13.54/2.26 ( cs4_all @ 13.54/2.26 ( ^[K:individuals]: 13.54/2.26 ( cs4_impl @ ( princ_inj @ K ) @ ( princ_inj @ loca ) ) ) ))). 13.54/2.26 thf(zf_stmt_2, axiom, 13.54/2.26 (![X4:$i,X6:$i]: 13.54/2.26 ( ( reli @ X4 @ X6 ) => 13.54/2.26 ( ![X8:individuals,X10:$i]: 13.54/2.26 ( ( reli @ X6 @ X10 ) => 13.54/2.26 ( ( princ_inj @ loca @ X10 ) | ( ~( princ_inj @ X8 @ X10 ) ) ) ) ) ))). 13.54/2.26 thf(zip_derived_cl5, plain, 13.54/2.26 ( (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => 13.54/2.26 (((!!) @ (^[Y2 : individuals]: 13.54/2.26 (((!!) @ (^[Y3 : $i]: 13.54/2.26 (((reli @ Y1 @ Y3) => 13.54/2.26 (((princ_inj @ 13.54/2.26 loca @ Y3) | 13.54/2.26 (((~) @ ( 13.54/2.26 princ_inj @ 13.54/2.26 Y2 @ Y3)))))))))))))))))))))), 13.54/2.26 inference('cnf', [status(esa)], [zf_stmt_2])). 13.54/2.26 thf(zip_derived_cl206, plain, 13.54/2.26 (![X2 : $i]: 13.54/2.26 (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ X2 @ Y0) => 13.54/2.26 (((!!) @ (^[Y1 : individuals]: 13.54/2.26 (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y0 @ Y2) => 13.54/2.26 (((princ_inj @ loca @ Y2) | 13.54/2.26 (((~) @ (princ_inj @ Y1 @ 13.54/2.26 Y2))))))))))))))))))), 13.54/2.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])). 13.54/2.26 thf(zip_derived_cl207, plain, 13.54/2.26 (![X2 : $i, X4 : $i]: 13.54/2.26 (((reli @ X2 @ X4) => 13.54/2.26 (((!!) @ (^[Y0 : individuals]: 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ X4 @ Y1) => 13.54/2.26 (((princ_inj @ loca @ Y1) | 13.54/2.26 (((~) @ (princ_inj @ Y0 @ Y1)))))))))))))))), 13.54/2.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl206])). 13.54/2.26 thf(zip_derived_cl208, plain, 13.54/2.26 (![X2 : $i, X4 : $i]: 13.54/2.26 (~ (reli @ X2 @ X4) 13.54/2.26 | (((!!) @ (^[Y0 : individuals]: 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ X4 @ Y1) => 13.54/2.26 (((princ_inj @ loca @ Y1) | 13.54/2.26 (((~) @ (princ_inj @ Y0 @ Y1))))))))))))))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl207])). 13.54/2.26 thf(zip_derived_cl209, plain, 13.54/2.26 (![X2 : $i, X4 : $i, X6 : individuals]: 13.54/2.26 ( (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((reli @ X4 @ Y0) => 13.54/2.26 (((princ_inj @ loca @ Y0) | 13.54/2.26 (((~) @ (princ_inj @ X6 @ Y0)))))))))) 13.54/2.26 | ~ (reli @ X2 @ X4))), 13.54/2.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl208])). 13.54/2.26 thf(zip_derived_cl210, plain, 13.54/2.26 (![X2 : $i, X4 : $i, X6 : individuals, X8 : $i]: 13.54/2.26 ( (((reli @ X4 @ X8) => 13.54/2.26 (((princ_inj @ loca @ X8) | (((~) @ (princ_inj @ X6 @ X8))))))) 13.54/2.26 | ~ (reli @ X2 @ X4))), 13.54/2.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl209])). 13.54/2.26 thf(zip_derived_cl211, plain, 13.54/2.26 (![X2 : $i, X4 : $i, X6 : individuals, X8 : $i]: 13.54/2.26 (~ (reli @ X4 @ X8) 13.54/2.26 | (((princ_inj @ loca @ X8) | (((~) @ (princ_inj @ X6 @ X8))))) 13.54/2.26 | ~ (reli @ X2 @ X4))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl210])). 13.54/2.26 thf(zip_derived_cl212, plain, 13.54/2.26 (![X2 : $i, X4 : $i, X6 : individuals, X8 : $i]: 13.54/2.26 ( (princ_inj @ loca @ X8) 13.54/2.26 | ~ (princ_inj @ X6 @ X8) 13.54/2.26 | ~ (reli @ X2 @ X4) 13.54/2.26 | ~ (reli @ X4 @ X8))), 13.54/2.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl211])). 13.54/2.26 thf(zip_derived_cl704, plain, 13.54/2.26 (![X0 : $i, X1 : $i]: 13.54/2.26 (~ (reli @ X0 @ ('#sk9' @ '#sk7')) 13.54/2.26 | ~ (reli @ X1 @ X0) 13.54/2.26 | (princ_inj @ loca @ ('#sk9' @ '#sk7')))), 13.54/2.26 inference('sup-', [status(thm)], [zip_derived_cl644, zip_derived_cl212])). 13.54/2.26 thf(zip_derived_cl17, plain, ( (reli @ '#sk4' @ '#sk5')), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 13.54/2.26 thf(zip_derived_cl27, plain, ( (reli @ '#sk6' @ '#sk7')), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 13.54/2.26 thf(zip_derived_cl36, plain, ( (reli @ '#sk7' @ '#sk8')), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])). 13.54/2.26 thf(zip_derived_cl42, plain, 13.54/2.26 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 13.54/2.26 (~ (princ_inj @ loca @ ('#sk9' @ X6)) 13.54/2.26 | ~ (reli @ X6 @ X8) 13.54/2.26 | ('#sk2' @ X8) 13.54/2.26 | ~ (reli @ '#sk4' @ X2) 13.54/2.26 | ~ (relr @ X2 @ X4) 13.54/2.26 | ~ (reli @ X4 @ X6))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])). 13.54/2.26 thf(zip_derived_cl53, plain, 13.54/2.26 (![X0 : $i, X1 : $i]: 13.54/2.26 (~ (reli @ X0 @ '#sk7') 13.54/2.26 | ~ (relr @ X1 @ X0) 13.54/2.26 | ~ (reli @ '#sk4' @ X1) 13.54/2.26 | ('#sk2' @ '#sk8') 13.54/2.26 | ~ (princ_inj @ loca @ ('#sk9' @ '#sk7')))), 13.54/2.26 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl42])). 13.54/2.26 thf(zip_derived_cl37, plain, (~ ('#sk2' @ '#sk8')), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])). 13.54/2.26 thf(zip_derived_cl54, plain, 13.54/2.26 (![X0 : $i, X1 : $i]: 13.54/2.26 (~ (reli @ X0 @ '#sk7') 13.54/2.26 | ~ (relr @ X1 @ X0) 13.54/2.26 | ~ (reli @ '#sk4' @ X1) 13.54/2.26 | ~ (princ_inj @ loca @ ('#sk9' @ '#sk7')))), 13.54/2.26 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl37])). 13.54/2.26 thf(zip_derived_cl55, plain, 13.54/2.26 (![X0 : $i]: 13.54/2.26 (~ (princ_inj @ loca @ ('#sk9' @ '#sk7')) 13.54/2.26 | ~ (reli @ '#sk4' @ X0) 13.54/2.26 | ~ (relr @ X0 @ '#sk6'))), 13.54/2.26 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl54])). 13.54/2.26 thf(zip_derived_cl56, plain, 13.54/2.26 ((~ (relr @ '#sk5' @ '#sk6') | ~ (princ_inj @ loca @ ('#sk9' @ '#sk7')))), 13.54/2.26 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl55])). 13.54/2.26 thf(zip_derived_cl22, plain, ( (relr @ '#sk5' @ '#sk6')), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 13.54/2.26 thf(zip_derived_cl57, plain, (~ (princ_inj @ loca @ ('#sk9' @ '#sk7'))), 13.54/2.26 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl22])). 13.54/2.26 thf(zip_derived_cl942, plain, 13.54/2.26 (![X0 : $i, X1 : $i]: 13.54/2.26 (~ (reli @ X1 @ X0) | ~ (reli @ X0 @ ('#sk9' @ '#sk7')))), 13.54/2.26 inference('clc', [status(thm)], [zip_derived_cl704, zip_derived_cl57])). 13.54/2.26 thf(zip_derived_cl965, plain, 13.54/2.26 (~ (reli @ ('#sk9' @ '#sk7') @ ('#sk9' @ '#sk7'))), 13.54/2.26 inference('eq_fact', [status(thm)], [zip_derived_cl942])). 13.54/2.26 thf(refl_axiom_i, axiom, 13.54/2.26 (![A:( $i > $o )]: ( mvalid @ ( mimpl @ ( mbox @ reli @ A ) @ A ) ))). 13.54/2.26 thf(zf_stmt_3, axiom, 13.54/2.26 (![X4:( $i > $o ),X6:$i]: 13.54/2.26 ( ( X4 @ X6 ) | ( ~( ![X8:$i]: ( ( reli @ X6 @ X8 ) => ( X4 @ X8 ) ) ) ) ))). 13.54/2.26 thf(zip_derived_cl3, plain, 13.54/2.26 ( (((!!) @ (^[Y0 : $i > $o]: 13.54/2.26 (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((Y0 @ Y1) | 13.54/2.26 (((~) @ (((!!) @ (^[Y2 : $i]: 13.54/2.26 (((reli @ Y1 @ Y2) => 13.54/2.26 (Y0 @ Y2))))))))))))))))), 13.54/2.26 inference('cnf', [status(esa)], [zf_stmt_3])). 13.54/2.26 thf(zip_derived_cl94, plain, 13.54/2.26 (![X2 : $i > $o]: 13.54/2.26 (((!!) @ (^[Y0 : $i]: 13.54/2.26 (((X2 @ Y0) | 13.54/2.26 (((~) @ (((!!) @ (^[Y1 : $i]: 13.54/2.26 (((reli @ Y0 @ Y1) => (X2 @ Y1)))))))))))))), 13.54/2.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 13.54/2.26 thf(zip_derived_cl95, plain, 13.54/2.26 (![X2 : $i > $o, X4 : $i]: 13.54/2.26 (((X2 @ X4) | 13.54/2.26 (((~) @ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0))))))))))), 13.54/2.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl94])). 13.54/2.26 thf(zip_derived_cl96, plain, 13.54/2.26 (![X2 : $i > $o, X4 : $i]: 13.54/2.26 ( (X2 @ X4) 13.54/2.26 | ~ (((!!) @ (^[Y0 : $i]: (((reli @ X4 @ Y0) => (X2 @ Y0)))))))), 13.54/2.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl95])). 13.54/2.26 thf(zip_derived_cl97, plain, 13.54/2.26 (![X2 : $i > $o, X4 : $i]: 13.54/2.26 (~ (((reli @ X4 @ ('#sk12' @ X2 @ X4)) => (X2 @ ('#sk12' @ X2 @ X4)))) 13.54/2.26 | (X2 @ X4))), 13.54/2.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl96])). 13.54/2.26 thf(zip_derived_cl98, plain, 13.54/2.26 (![X2 : $i > $o, X4 : $i]: 13.54/2.26 ( (reli @ X4 @ ('#sk12' @ X2 @ X4)) | (X2 @ X4))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl97])). 13.54/2.26 thf(zip_derived_cl99, plain, 13.54/2.26 (![X2 : $i > $o, X4 : $i]: (~ (X2 @ ('#sk12' @ X2 @ X4)) | (X2 @ X4))), 13.54/2.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl97])). 13.54/2.26 thf(zip_derived_cl107, plain, 13.54/2.26 (![X0 : $i]: ( (reli @ X0 @ X0) | (reli @ X0 @ X0))), 13.54/2.26 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl99])). 13.54/2.26 thf(zip_derived_cl109, plain, (![X0 : $i]: (reli @ X0 @ X0)), 13.54/2.26 inference('simplify', [status(thm)], [zip_derived_cl107])). 13.54/2.26 thf(zip_derived_cl966, plain, ($false), 13.54/2.26 inference('demod', [status(thm)], [zip_derived_cl965, zip_derived_cl109])). 13.54/2.26 13.54/2.26 % SZS output end Refutation 13.54/2.26 13.54/2.26 13.54/2.26 % Terminating... 14.19/2.40 % Runner terminated. 14.19/2.40 % Zipperpin 1.5 exiting 14.19/2.41 EOF