0.02/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ce7mLnvN1U true 0.11/0.32 % Computer : n014.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Aug 9 04:55:16 EDT 2022 0.11/0.32 % CPUTime : 0.11/0.32 % Running portfolio for 960 s 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.32 % Number of cores: 8 0.11/0.33 % Python version: Python 3.6.8 0.11/0.33 % Running in HO mode 0.46/0.60 % Total configuration time : 828 0.46/0.60 % Estimated wc time : 1656 0.46/0.60 % Estimated cpu time (8 cpus) : 207.0 0.48/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.48/0.68 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.48/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.48/0.68 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.48/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.48/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.48/0.70 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.48/0.70 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.49/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 0.49/0.79 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 0.49/1.00 % Solved by lams/30_sp5.sh. 0.49/1.00 % done 384 iterations in 0.241s 0.49/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.49/1.00 % SZS output start Refutation 0.49/1.00 thf('#sk10_type', type, '#sk10': $i). 0.49/1.00 thf(meuclidean_type, type, meuclidean: ($i > $i > $o) > $o). 0.49/1.00 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.49/1.00 thf('#sk9_type', type, '#sk9': $i > $o). 0.49/1.00 thf(ra_type, type, ra: $i > $i > $o). 0.49/1.00 thf('#sk4_type', type, '#sk4': $i). 0.49/1.00 thf('#sk8_type', type, '#sk8': $i > $o). 0.49/1.00 thf(mreflexive_type, type, mreflexive: ($i > $i > $o) > $o). 0.49/1.00 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 0.49/1.00 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.49/1.00 thf('#form6_type', type, '#form6': $o). 0.49/1.00 thf('#sk2_type', type, '#sk2': $i > $o). 0.49/1.00 thf(mtransitive_type, type, mtransitive: ($i > $i > $o) > $o). 0.49/1.00 thf(rb_type, type, rb: $i > $i > $o). 0.49/1.00 thf('#sk7_type', type, '#sk7': $i). 0.49/1.00 thf('#sk11_type', type, '#sk11': $i). 0.49/1.00 thf('#sk5_type', type, '#sk5': $i). 0.49/1.00 thf('#sk3_type', type, '#sk3': $i > $o). 0.49/1.00 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.49/1.00 thf(mforall_prop_type, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.49/1.00 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 0.49/1.00 thf('#sk1_type', type, '#sk1': $i). 0.49/1.00 thf(mvalid, axiom,(( mvalid ) = 0.49/1.00 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))). 0.49/1.00 thf('0', plain, 0.49/1.00 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )), 0.49/1.00 inference('simplify_rw_rule', [status(thm)], [mvalid])). 0.49/1.00 thf('1', plain, 0.49/1.00 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 0.49/1.00 define([status(thm)])). 0.49/1.00 thf(mbox, axiom,(( mbox ) = 0.49/1.00 (^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]: 0.49/1.00 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) )))). 0.49/1.00 thf('2', plain, 0.49/1.00 (( mbox ) = 0.49/1.00 ( ^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]: 0.49/1.00 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) ) )), 0.49/1.00 inference('simplify_rw_rule', [status(thm)], [mbox])). 0.49/1.00 thf('3', plain, 0.49/1.00 (( mbox ) = 0.49/1.00 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]: 0.49/1.00 ( ![X4:$i]: ( ( V_2 @ X4 ) | ( ~( V_1 @ V_3 @ X4 ) ) ) ) )), 0.49/1.00 define([status(thm)])). 0.49/1.00 thf(mforall_prop, axiom,(( mforall_prop ) = 0.49/1.00 (^[Phi:( ( $i > $o ) > $i > $o ),W:$i]: 0.49/1.00 ( ![P:( $i > $o )]: ( Phi @ P @ W ) )))). 0.49/1.00 thf('4', plain, 0.49/1.00 (( mforall_prop ) = 0.49/1.00 ( ^[Phi:( ( $i > $o ) > $i > $o ),W:$i]: 0.49/1.00 ( ![P:( $i > $o )]: ( Phi @ P @ W ) ) )), 0.49/1.00 inference('simplify_rw_rule', [status(thm)], [mforall_prop])). 0.49/1.00 thf('5', plain, 0.49/1.00 (( mforall_prop ) = 0.49/1.00 ( ^[V_1:( ( $i > $o ) > $i > $o ),V_2:$i]: 0.49/1.00 ( ![X4:( $i > $o )]: ( V_1 @ X4 @ V_2 ) ) )), 0.49/1.00 define([status(thm)])). 0.49/1.00 thf(mimplies, axiom,(( mimplies ) = 0.49/1.00 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))). 0.49/1.00 thf(mor, axiom,(( mor ) = 0.49/1.00 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))). 0.49/1.00 thf('6', plain, 0.49/1.00 (( mor ) = 0.49/1.00 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )), 0.49/1.00 inference('simplify_rw_rule', [status(thm)], [mor])). 0.49/1.00 thf('7', plain, 0.49/1.00 (( mor ) = 0.49/1.00 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 0.49/1.00 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 0.49/1.00 define([status(thm)])). 0.49/1.00 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))). 0.49/1.00 thf('8', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )), 0.49/1.00 inference('simplify_rw_rule', [status(thm)], [mnot])). 0.49/1.00 thf('9', plain, 0.49/1.00 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 0.49/1.00 define([status(thm)])). 0.49/1.00 thf('10', plain, 0.49/1.00 (( mimplies ) = 0.49/1.00 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )), 0.49/1.00 inference('simplify_rw_rule', [status(thm)], [mimplies, '7', '9'])). 0.49/1.00 thf('11', plain, 0.49/1.00 (( mimplies ) = 0.49/1.00 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 0.49/1.00 define([status(thm)])). 0.49/1.00 thf(conj, conjecture, 0.49/1.00 (( mvalid @ 0.49/1.00 ( mforall_prop @ 0.49/1.00 ( ^[A:( $i > $o )]: 0.49/1.00 ( mforall_prop @ 0.49/1.00 ( ^[B:( $i > $o )]: 0.49/1.00 ( mimplies @ 0.49/1.00 ( mbox @ rb @ ( mor @ ( mbox @ ra @ A ) @ ( mbox @ rb @ B ) ) ) @ 0.49/1.00 ( mor @ ( mbox @ rb @ A ) @ ( mbox @ rb @ B ) ) ) ) ) ) ) ) & 0.49/1.00 ( mvalid @ 0.49/1.00 ( mforall_prop @ 0.49/1.00 ( ^[A:( $i > $o )]: 0.49/1.00 ( mforall_prop @ 0.49/1.00 ( ^[B:( $i > $o )]: 0.49/1.00 ( mimplies @ 0.49/1.00 ( mbox @ ra @ ( mor @ ( mbox @ ra @ A ) @ ( mbox @ rb @ B ) ) ) @ 0.49/1.00 ( mor @ ( mbox @ ra @ A ) @ ( mbox @ ra @ B ) ) ) ) ) ) ) ))). 0.49/1.00 thf(zf_stmt_0, conjecture, 0.49/1.00 (( ![X4:$i,X6:( $i > $o ),X8:( $i > $o )]: 0.49/1.00 ( ( ![X18:$i]: ( ( ~( rb @ X4 @ X18 ) ) | ( X8 @ X18 ) ) ) | 0.49/1.00 ( ![X16:$i]: ( ( ~( rb @ X4 @ X16 ) ) | ( X6 @ X16 ) ) ) | 0.49/1.00 ( ~( ![X10:$i]: 0.49/1.00 ( ( ~( rb @ X4 @ X10 ) ) | 0.49/1.00 ( ![X14:$i]: ( ( ~( rb @ X10 @ X14 ) ) | ( X8 @ X14 ) ) ) | 0.49/1.00 ( ![X12:$i]: ( ( ~( ra @ X10 @ X12 ) ) | ( X6 @ X12 ) ) ) ) ) ) ) ) & 0.49/1.00 ( ![X20:$i,X22:( $i > $o ),X24:( $i > $o )]: 0.49/1.00 ( ( ![X34:$i]: ( ( ~( ra @ X20 @ X34 ) ) | ( X24 @ X34 ) ) ) | 0.49/1.00 ( ![X32:$i]: ( ( ~( ra @ X20 @ X32 ) ) | ( X22 @ X32 ) ) ) | 0.49/1.00 ( ~( ![X26:$i]: 0.49/1.00 ( ( ~( ra @ X20 @ X26 ) ) | 0.49/1.00 ( ![X30:$i]: ( ( ~( rb @ X26 @ X30 ) ) | ( X24 @ X30 ) ) ) | 0.49/1.00 ( ![X28:$i]: ( ( ~( ra @ X26 @ X28 ) ) | ( X22 @ X28 ) ) ) ) ) ) ) ))). 0.49/1.00 thf(zf_stmt_1, negated_conjecture, 0.49/1.00 (~( ( ![X4:$i,X6:( $i > $o ),X8:( $i > $o )]: 0.49/1.00 ( ( ![X18:$i]: ( ( ~( rb @ X4 @ X18 ) ) | ( X8 @ X18 ) ) ) | 0.49/1.00 ( ![X16:$i]: ( ( ~( rb @ X4 @ X16 ) ) | ( X6 @ X16 ) ) ) | 0.49/1.00 ( ~( ![X10:$i]: 0.49/1.00 ( ( ~( rb @ X4 @ X10 ) ) | 0.49/1.00 ( ![X14:$i]: ( ( ~( rb @ X10 @ X14 ) ) | ( X8 @ X14 ) ) ) | 0.49/1.00 ( ![X12:$i]: ( ( ~( ra @ X10 @ X12 ) ) | ( X6 @ X12 ) ) ) ) ) ) ) ) & 0.49/1.00 ( ![X20:$i,X22:( $i > $o ),X24:( $i > $o )]: 0.49/1.00 ( ( ![X34:$i]: ( ( ~( ra @ X20 @ X34 ) ) | ( X24 @ X34 ) ) ) | 0.49/1.00 ( ![X32:$i]: ( ( ~( ra @ X20 @ X32 ) ) | ( X22 @ X32 ) ) ) | 0.49/1.00 ( ~( ![X26:$i]: 0.49/1.00 ( ( ~( ra @ X20 @ X26 ) ) | 0.49/1.00 ( ![X30:$i]: ( ( ~( rb @ X26 @ X30 ) ) | ( X24 @ X30 ) ) ) | 0.49/1.00 ( ![X28:$i]: ( ( ~( ra @ X26 @ X28 ) ) | ( X22 @ X28 ) ) ) ) ) ) ) ) )), 0.49/1.00 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 0.49/1.00 thf(zip_derived_cl5, plain, 0.49/1.00 (~ (((((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 rb @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 rb @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 (( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))) & 0.49/1.00 (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 (( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4))))))))))))))))))))))))))), 0.49/1.00 inference('cnf', [status(esa)], [zf_stmt_1])). 0.49/1.00 thf(zip_derived_cl29, plain, 0.49/1.00 ((~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 rb @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 rb @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ((( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))) 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 0.49/1.00 thf(zip_derived_cl30, plain, 0.49/1.00 ((~ (((!!) @ (^[Y0 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((~) @ (rb @ '#sk1' @ Y2))) | 0.49/1.00 (Y1 @ Y2)))))) | 0.49/1.00 (((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((~) @ (rb @ '#sk1' @ Y2))) | 0.49/1.00 (Y0 @ Y2)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((~) @ (rb @ 0.49/1.00 '#sk1' @ Y2))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y2 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y2 @ Y3))) | 0.49/1.00 (Y0 @ Y3))))))))))))))))))))) 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl29])). 0.49/1.00 thf(zip_derived_cl31, plain, 0.49/1.00 ((~ (((!!) @ (^[Y0 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (rb @ '#sk1' @ Y1))) | (Y0 @ Y1)))))) | 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (rb @ '#sk1' @ Y1))) | ('#sk2' @ 0.49/1.00 Y1)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (rb @ '#sk1' @ Y1))) | 0.49/1.00 (((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((~) @ (rb @ Y1 @ 0.49/1.00 Y2))) | 0.49/1.00 (Y0 @ Y2)))))) | 0.49/1.00 (((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((~) @ (ra @ Y1 @ 0.49/1.00 Y2))) | 0.49/1.00 ('#sk2' @ Y2)))))))))))))))))) 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl30])). 0.49/1.00 thf(zip_derived_cl32, plain, 0.49/1.00 ((~ (((((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (rb @ '#sk1' @ Y0))) | ('#sk3' @ Y0)))))) | 0.49/1.00 (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (rb @ '#sk1' @ Y0))) | ('#sk2' @ Y0)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (rb @ '#sk1' @ Y0))) | 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (rb @ Y0 @ Y1))) | 0.49/1.00 ('#sk3' @ Y1)))))) | 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (ra @ Y0 @ Y1))) | 0.49/1.00 ('#sk2' @ Y1))))))))))))))) 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl31])). 0.49/1.00 thf(zip_derived_cl34, plain, 0.49/1.00 ((~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (rb @ '#sk1' @ Y0))) | ('#sk2' @ Y0)))))) 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl32])). 0.49/1.00 thf(zip_derived_cl37, plain, 0.49/1.00 ((~ (((((~) @ (rb @ '#sk1' @ '#sk5'))) | ('#sk2' @ '#sk5'))) 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl34])). 0.49/1.00 thf(zip_derived_cl41, plain, 0.49/1.00 (( ('#form6') 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 define([status(thm)])). 0.49/1.00 thf(zip_derived_cl42, plain, 0.49/1.00 ((~ (((!!) @ (^[Y0 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((~) @ (ra @ '#sk7' @ Y2))) | 0.49/1.00 (Y1 @ Y2)))))) | 0.49/1.00 (((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((~) @ (ra @ '#sk7' @ Y2))) | 0.49/1.00 (Y0 @ Y2)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((~) @ (ra @ 0.49/1.00 '#sk7' @ Y2))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y2 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y2 @ Y3))) | 0.49/1.00 (Y0 @ Y3))))))))))))))))))))) 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl41])). 0.49/1.00 thf(zip_derived_cl49, plain, 0.49/1.00 ((~ (((!!) @ (^[Y0 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (ra @ '#sk7' @ Y1))) | (Y0 @ Y1)))))) | 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (ra @ '#sk7' @ Y1))) | ('#sk8' @ 0.49/1.00 Y1)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (ra @ '#sk7' @ Y1))) | 0.49/1.00 (((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((~) @ (rb @ Y1 @ 0.49/1.00 Y2))) | 0.49/1.00 (Y0 @ Y2)))))) | 0.49/1.00 (((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((~) @ (ra @ Y1 @ 0.49/1.00 Y2))) | 0.49/1.00 ('#sk8' @ Y2)))))))))))))))))) 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])). 0.49/1.00 thf(zip_derived_cl51, plain, 0.49/1.00 ((~ (((((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (ra @ '#sk7' @ Y0))) | ('#sk9' @ Y0)))))) | 0.49/1.00 (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (ra @ '#sk7' @ Y0))) | ('#sk8' @ Y0)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (ra @ '#sk7' @ Y0))) | 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (rb @ Y0 @ Y1))) | 0.49/1.00 ('#sk9' @ Y1)))))) | 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (ra @ Y0 @ Y1))) | 0.49/1.00 ('#sk8' @ Y1))))))))))))))) 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl49])). 0.49/1.00 thf(zip_derived_cl53, plain, 0.49/1.00 ((~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (ra @ '#sk7' @ Y0))) | ('#sk9' @ Y0)))))) 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl51])). 0.49/1.00 thf(zip_derived_cl57, plain, 0.49/1.00 ((~ (((((~) @ (ra @ '#sk7' @ '#sk10'))) | ('#sk9' @ '#sk10'))) 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl53])). 0.49/1.00 thf(zip_derived_cl62, plain, ((~ ('#sk9' @ '#sk10') | ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl57])). 0.49/1.00 thf(zip_derived_cl37, plain, 0.49/1.00 ((~ (((((~) @ (rb @ '#sk1' @ '#sk5'))) | ('#sk2' @ '#sk5'))) 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl34])). 0.49/1.00 thf(zip_derived_cl41, plain, 0.49/1.00 (( ('#form6') 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 define([status(thm)])). 0.49/1.00 thf(zip_derived_cl43, plain, 0.49/1.00 ((~ ('#form6') 0.49/1.00 | ~ (((((~) @ (rb @ '#sk1' @ '#sk5'))) | ('#sk2' @ '#sk5'))))), 0.49/1.00 inference('renaming', [status(thm)], [zip_derived_cl37, zip_derived_cl41])). 0.49/1.00 thf(zip_derived_cl47, plain, (( (rb @ '#sk1' @ '#sk5') | ~ ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl43])). 0.49/1.00 thf(mreflexive, axiom,(( mreflexive ) = 0.49/1.00 (^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) )))). 0.49/1.00 thf('12', plain, 0.49/1.00 (( mreflexive ) = ( ^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) ) )), 0.49/1.00 inference('simplify_rw_rule', [status(thm)], [mreflexive])). 0.49/1.00 thf('13', plain, 0.49/1.00 (( mreflexive ) = 0.49/1.00 ( ^[V_1:( $i > $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 @ X4 ) ) )), 0.49/1.00 define([status(thm)])).thf(ax2, axiom, (mreflexive @ rb)). 0.49/1.00 thf(zf_stmt_2, axiom, (![X4:$i]: ( rb @ X4 @ X4 ))). 0.49/1.00 thf(zip_derived_cl1, plain, ( (((!!) @ (^[Y0 : $i]: (rb @ Y0 @ Y0))))), 0.49/1.00 inference('cnf', [status(esa)], [zf_stmt_2])). 0.49/1.00 thf(zip_derived_cl7, plain, (![X2 : $i]: (rb @ X2 @ X2)), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 0.49/1.00 thf(meuclidean, axiom,(( meuclidean ) = 0.49/1.00 (^[R:( $i > $i > $o )]: 0.49/1.00 ( ![S:$i,T:$i,U:$i]: 0.49/1.00 ( ( ( R @ S @ T ) & ( R @ S @ U ) ) => ( R @ T @ U ) ) )))). 0.49/1.00 thf('14', plain, 0.49/1.00 (( meuclidean ) = 0.49/1.00 ( ^[R:( $i > $i > $o )]: 0.49/1.00 ( ![S:$i,T:$i,U:$i]: 0.49/1.00 ( ( ( R @ S @ T ) & ( R @ S @ U ) ) => ( R @ T @ U ) ) ) )), 0.49/1.00 inference('simplify_rw_rule', [status(thm)], [meuclidean])). 0.49/1.00 thf('15', plain, 0.49/1.00 (( meuclidean ) = 0.49/1.00 ( ^[V_1:( $i > $i > $o )]: 0.49/1.00 ( ![X4:$i,X6:$i,X8:$i]: 0.49/1.00 ( ( ( V_1 @ X4 @ X6 ) & ( V_1 @ X4 @ X8 ) ) => ( V_1 @ X6 @ X8 ) ) ) )), 0.49/1.00 define([status(thm)])).thf(ax6, axiom, (meuclidean @ rb)). 0.49/1.00 thf(zf_stmt_3, axiom, 0.49/1.00 (![X4:$i,X6:$i,X8:$i]: 0.49/1.00 ( ( ( rb @ X4 @ X8 ) & ( rb @ X4 @ X6 ) ) => ( rb @ X6 @ X8 ) ))). 0.49/1.00 thf(zip_derived_cl6, plain, 0.49/1.00 ( (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((rb @ Y0 @ Y2) & (rb @ Y0 @ Y1))) => 0.49/1.00 (rb @ Y1 @ Y2))))))))))))), 0.49/1.00 inference('cnf', [status(esa)], [zf_stmt_3])). 0.49/1.00 thf(zip_derived_cl24, plain, 0.49/1.00 (![X2 : $i]: 0.49/1.00 (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((rb @ X2 @ Y1) & (rb @ X2 @ Y0))) => 0.49/1.00 (rb @ Y0 @ Y1)))))))))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 0.49/1.00 thf(zip_derived_cl25, plain, 0.49/1.00 (![X2 : $i, X4 : $i]: 0.49/1.00 (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((rb @ X2 @ Y0) & (rb @ X2 @ X4))) => (rb @ X4 @ Y0))))))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 0.49/1.00 thf(zip_derived_cl26, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 (((((rb @ X2 @ X6) & (rb @ X2 @ X4))) => (rb @ X4 @ X6)))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl25])). 0.49/1.00 thf(zip_derived_cl27, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 (~ (((rb @ X2 @ X6) & (rb @ X2 @ X4))) | (rb @ X4 @ X6))), 0.49/1.00 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl26])). 0.49/1.00 thf(zip_derived_cl28, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 (~ (rb @ X2 @ X6) | ~ (rb @ X2 @ X4) | (rb @ X4 @ X6))), 0.49/1.00 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])). 0.49/1.00 thf(zip_derived_cl134, plain, 0.49/1.00 (![X0 : $i, X1 : $i]: ( (rb @ X1 @ X0) | ~ (rb @ X0 @ X1))), 0.49/1.00 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl28])). 0.49/1.00 thf(zip_derived_cl143, plain, ((~ ('#form6') | (rb @ '#sk5' @ '#sk1'))), 0.49/1.00 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl134])). 0.49/1.00 thf(zip_derived_cl33, plain, 0.49/1.00 ((~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (rb @ '#sk1' @ Y0))) | ('#sk3' @ Y0)))))) 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl32])). 0.49/1.00 thf(zip_derived_cl36, plain, 0.49/1.00 ((~ (((((~) @ (rb @ '#sk1' @ '#sk4'))) | ('#sk3' @ '#sk4'))) 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl33])). 0.49/1.00 thf(zip_derived_cl39, plain, 0.49/1.00 (( (rb @ '#sk1' @ '#sk4') 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl36])). 0.49/1.00 thf(zip_derived_cl41, plain, 0.49/1.00 (( ('#form6') 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 define([status(thm)])). 0.49/1.00 thf(zip_derived_cl45, plain, ((~ ('#form6') | (rb @ '#sk1' @ '#sk4'))), 0.49/1.00 inference('renaming', [status(thm)], [zip_derived_cl39, zip_derived_cl41])). 0.49/1.00 thf(mtransitive, axiom,(( mtransitive ) = 0.49/1.00 (^[R:( $i > $i > $o )]: 0.49/1.00 ( ![S:$i,T:$i,U:$i]: 0.49/1.00 ( ( ( R @ S @ T ) & ( R @ T @ U ) ) => ( R @ S @ U ) ) )))). 0.49/1.00 thf('16', plain, 0.49/1.00 (( mtransitive ) = 0.49/1.00 ( ^[R:( $i > $i > $o )]: 0.49/1.00 ( ![S:$i,T:$i,U:$i]: 0.49/1.00 ( ( ( R @ S @ T ) & ( R @ T @ U ) ) => ( R @ S @ U ) ) ) )), 0.49/1.00 inference('simplify_rw_rule', [status(thm)], [mtransitive])). 0.49/1.00 thf('17', plain, 0.49/1.00 (( mtransitive ) = 0.49/1.00 ( ^[V_1:( $i > $i > $o )]: 0.49/1.00 ( ![X4:$i,X6:$i,X8:$i]: 0.49/1.00 ( ( ( V_1 @ X4 @ X6 ) & ( V_1 @ X6 @ X8 ) ) => ( V_1 @ X4 @ X8 ) ) ) )), 0.49/1.00 define([status(thm)])).thf(ax4, axiom, (mtransitive @ rb)). 0.49/1.00 thf(zf_stmt_4, axiom, 0.49/1.00 (![X4:$i,X6:$i,X8:$i]: 0.49/1.00 ( ( ( rb @ X6 @ X8 ) & ( rb @ X4 @ X6 ) ) => ( rb @ X4 @ X8 ) ))). 0.49/1.00 thf(zip_derived_cl3, plain, 0.49/1.00 ( (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((rb @ Y1 @ Y2) & (rb @ Y0 @ Y1))) => 0.49/1.00 (rb @ Y0 @ Y2))))))))))))), 0.49/1.00 inference('cnf', [status(esa)], [zf_stmt_4])). 0.49/1.00 thf(zip_derived_cl19, plain, 0.49/1.00 (![X2 : $i]: 0.49/1.00 (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((rb @ Y0 @ Y1) & (rb @ X2 @ Y0))) => 0.49/1.00 (rb @ X2 @ Y1)))))))))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 0.49/1.00 thf(zip_derived_cl20, plain, 0.49/1.00 (![X2 : $i, X4 : $i]: 0.49/1.00 (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((rb @ X4 @ Y0) & (rb @ X2 @ X4))) => (rb @ X2 @ Y0))))))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])). 0.49/1.00 thf(zip_derived_cl21, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 (((((rb @ X4 @ X6) & (rb @ X2 @ X4))) => (rb @ X2 @ X6)))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])). 0.49/1.00 thf(zip_derived_cl22, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 (~ (((rb @ X4 @ X6) & (rb @ X2 @ X4))) | (rb @ X2 @ X6))), 0.49/1.00 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 0.49/1.00 thf(zip_derived_cl23, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 (~ (rb @ X4 @ X6) | ~ (rb @ X2 @ X4) | (rb @ X2 @ X6))), 0.49/1.00 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl22])). 0.49/1.00 thf(zip_derived_cl116, plain, 0.49/1.00 (![X0 : $i]: (~ ('#form6') | (rb @ X0 @ '#sk4') | ~ (rb @ X0 @ '#sk1'))), 0.49/1.00 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl23])). 0.49/1.00 thf(zip_derived_cl151, plain, 0.49/1.00 ((~ ('#form6') | (rb @ '#sk5' @ '#sk4') | ~ ('#form6'))), 0.49/1.00 inference('sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl116])). 0.49/1.00 thf(zip_derived_cl161, plain, (( (rb @ '#sk5' @ '#sk4') | ~ ('#form6'))), 0.49/1.00 inference('simplify', [status(thm)], [zip_derived_cl151])). 0.49/1.00 thf(zip_derived_cl47, plain, (( (rb @ '#sk1' @ '#sk5') | ~ ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl43])). 0.49/1.00 thf(ax1, axiom, (mreflexive @ ra)). 0.49/1.00 thf(zf_stmt_5, axiom, (![X4:$i]: ( ra @ X4 @ X4 ))). 0.49/1.00 thf(zip_derived_cl4, plain, ( (((!!) @ (^[Y0 : $i]: (ra @ Y0 @ Y0))))), 0.49/1.00 inference('cnf', [status(esa)], [zf_stmt_5])). 0.49/1.00 thf(zip_derived_cl8, plain, (![X2 : $i]: (ra @ X2 @ X2)), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 0.49/1.00 thf(zip_derived_cl35, plain, 0.49/1.00 (( (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (rb @ '#sk1' @ Y0))) | 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (rb @ Y0 @ Y1))) | ('#sk3' @ Y1)))))) | 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (ra @ Y0 @ Y1))) | ('#sk2' @ Y1))))))))))) 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl32])). 0.49/1.00 thf(zip_derived_cl38, plain, 0.49/1.00 (![X2 : $i]: 0.49/1.00 ( (((((~) @ (rb @ '#sk1' @ X2))) | 0.49/1.00 (((!!) @ (^[Y0 : $i]: (((((~) @ (rb @ X2 @ Y0))) | ('#sk3' @ Y0)))))) | 0.49/1.00 (((!!) @ (^[Y0 : $i]: (((((~) @ (ra @ X2 @ Y0))) | ('#sk2' @ Y0)))))))) 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ 0.49/1.00 Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ 0.49/1.00 Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 (( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])). 0.49/1.00 thf(zip_derived_cl41, plain, 0.49/1.00 (( ('#form6') 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 define([status(thm)])). 0.49/1.00 thf(zip_derived_cl44, plain, 0.49/1.00 (![X2 : $i]: 0.49/1.00 (~ ('#form6') 0.49/1.00 | (((((~) @ (rb @ '#sk1' @ X2))) | 0.49/1.00 (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (rb @ X2 @ Y0))) | ('#sk3' @ Y0)))))) | 0.49/1.00 (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (ra @ X2 @ Y0))) | ('#sk2' @ Y0)))))))))), 0.49/1.00 inference('renaming', [status(thm)], [zip_derived_cl38, zip_derived_cl41])). 0.49/1.00 thf(zip_derived_cl50, plain, 0.49/1.00 (![X2 : $i]: 0.49/1.00 (~ (rb @ '#sk1' @ X2) 0.49/1.00 | (((!!) @ (^[Y0 : $i]: (((((~) @ (rb @ X2 @ Y0))) | ('#sk3' @ Y0)))))) 0.49/1.00 | (((!!) @ (^[Y0 : $i]: (((((~) @ (ra @ X2 @ Y0))) | ('#sk2' @ Y0)))))) 0.49/1.00 | ~ ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl44])). 0.49/1.00 thf(zip_derived_cl52, plain, 0.49/1.00 (![X2 : $i, X4 : $i]: 0.49/1.00 ( (((((~) @ (rb @ X2 @ X4))) | ('#sk3' @ X4))) 0.49/1.00 | ~ ('#form6') 0.49/1.00 | (((!!) @ (^[Y0 : $i]: (((((~) @ (ra @ X2 @ Y0))) | ('#sk2' @ Y0)))))) 0.49/1.00 | ~ (rb @ '#sk1' @ X2))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl50])). 0.49/1.00 thf(zip_derived_cl56, plain, 0.49/1.00 (![X2 : $i, X4 : $i]: 0.49/1.00 (~ (rb @ X2 @ X4) 0.49/1.00 | ('#sk3' @ X4) 0.49/1.00 | ~ (rb @ '#sk1' @ X2) 0.49/1.00 | (((!!) @ (^[Y0 : $i]: (((((~) @ (ra @ X2 @ Y0))) | ('#sk2' @ Y0)))))) 0.49/1.00 | ~ ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl52])). 0.49/1.00 thf(zip_derived_cl60, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 ( (((((~) @ (ra @ X2 @ X6))) | ('#sk2' @ X6))) 0.49/1.00 | ~ ('#form6') 0.49/1.00 | ~ (rb @ '#sk1' @ X2) 0.49/1.00 | ('#sk3' @ X4) 0.49/1.00 | ~ (rb @ X2 @ X4))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl56])). 0.49/1.00 thf(zip_derived_cl66, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 (~ (ra @ X2 @ X6) 0.49/1.00 | ('#sk2' @ X6) 0.49/1.00 | ~ (rb @ X2 @ X4) 0.49/1.00 | ('#sk3' @ X4) 0.49/1.00 | ~ (rb @ '#sk1' @ X2) 0.49/1.00 | ~ ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl60])). 0.49/1.00 thf(zip_derived_cl190, plain, 0.49/1.00 (![X0 : $i, X1 : $i]: 0.49/1.00 (~ ('#form6') 0.49/1.00 | ~ (rb @ '#sk1' @ X0) 0.49/1.00 | ('#sk3' @ X1) 0.49/1.00 | ~ (rb @ X0 @ X1) 0.49/1.00 | ('#sk2' @ X0))), 0.49/1.00 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl66])). 0.49/1.00 thf(zip_derived_cl467, plain, 0.49/1.00 (![X0 : $i]: 0.49/1.00 (~ ('#form6') 0.49/1.00 | ('#sk2' @ '#sk5') 0.49/1.00 | ~ (rb @ '#sk5' @ X0) 0.49/1.00 | ('#sk3' @ X0) 0.49/1.00 | ~ ('#form6'))), 0.49/1.00 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl190])). 0.49/1.00 thf(zip_derived_cl476, plain, 0.49/1.00 (![X0 : $i]: 0.49/1.00 ( ('#sk3' @ X0) 0.49/1.00 | ~ (rb @ '#sk5' @ X0) 0.49/1.00 | ('#sk2' @ '#sk5') 0.49/1.00 | ~ ('#form6'))), 0.49/1.00 inference('simplify', [status(thm)], [zip_derived_cl467])). 0.49/1.00 thf(zip_derived_cl48, plain, ((~ ('#sk2' @ '#sk5') | ~ ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl43])). 0.49/1.00 thf(zip_derived_cl557, plain, 0.49/1.00 (![X0 : $i]: (~ ('#form6') | ~ (rb @ '#sk5' @ X0) | ('#sk3' @ X0))), 0.49/1.00 inference('clc', [status(thm)], [zip_derived_cl476, zip_derived_cl48])). 0.49/1.00 thf(zip_derived_cl561, plain, 0.49/1.00 ((~ ('#form6') | ('#sk3' @ '#sk4') | ~ ('#form6'))), 0.49/1.00 inference('sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl557])). 0.49/1.00 thf(zip_derived_cl570, plain, (( ('#sk3' @ '#sk4') | ~ ('#form6'))), 0.49/1.00 inference('simplify', [status(thm)], [zip_derived_cl561])). 0.49/1.00 thf(zip_derived_cl40, plain, 0.49/1.00 ((~ ('#sk3' @ '#sk4') 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl36])). 0.49/1.00 thf(zip_derived_cl41, plain, 0.49/1.00 (( ('#form6') 0.49/1.00 | ~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i > $o]: 0.49/1.00 (((!!) @ (^[Y2 : $i > $o]: 0.49/1.00 (((((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y2 @ Y3)))))) | 0.49/1.00 (((!!) @ (^[Y3 : $i]: 0.49/1.00 (((((~) @ ( 0.49/1.00 ra @ Y0 @ Y3))) | 0.49/1.00 (Y1 @ Y3)))))) | 0.49/1.00 (((~) @ (((!!) @ (^[Y3 : $i]: 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y0 @ Y3))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 rb @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y2 @ Y4)))))) | 0.49/1.00 ( 0.49/1.00 ( 0.49/1.00 (!!) @ ( 0.49/1.00 ^[Y4 : $i]: 0.49/1.00 (( 0.49/1.00 (( 0.49/1.00 (~) @ ( 0.49/1.00 ra @ 0.49/1.00 Y3 @ Y4))) | 0.49/1.00 (Y1 @ Y4)))))))))))))))))))))))))), 0.49/1.00 define([status(thm)])). 0.49/1.00 thf(zip_derived_cl46, plain, ((~ ('#form6') | ~ ('#sk3' @ '#sk4'))), 0.49/1.00 inference('renaming', [status(thm)], [zip_derived_cl40, zip_derived_cl41])). 0.49/1.00 thf(zip_derived_cl578, plain, (~ ('#form6')), 0.49/1.00 inference('clc', [status(thm)], [zip_derived_cl570, zip_derived_cl46])). 0.49/1.00 thf(zip_derived_cl580, plain, (~ ('#sk9' @ '#sk10')), 0.49/1.00 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl578])). 0.49/1.00 thf(zip_derived_cl54, plain, 0.49/1.00 ((~ (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (ra @ '#sk7' @ Y0))) | ('#sk8' @ Y0)))))) 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl51])). 0.49/1.00 thf(zip_derived_cl58, plain, 0.49/1.00 ((~ (((((~) @ (ra @ '#sk7' @ '#sk11'))) | ('#sk8' @ '#sk11'))) 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl54])). 0.49/1.00 thf(zip_derived_cl63, plain, (( (ra @ '#sk7' @ '#sk11') | ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl58])). 0.49/1.00 thf(zip_derived_cl61, plain, (( (ra @ '#sk7' @ '#sk10') | ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl57])). 0.49/1.00 thf(ax5, axiom, (meuclidean @ ra)). 0.49/1.00 thf(zf_stmt_6, axiom, 0.49/1.00 (![X4:$i,X6:$i,X8:$i]: 0.49/1.00 ( ( ( ra @ X4 @ X8 ) & ( ra @ X4 @ X6 ) ) => ( ra @ X6 @ X8 ) ))). 0.49/1.00 thf(zip_derived_cl0, plain, 0.49/1.00 ( (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((!!) @ (^[Y2 : $i]: 0.49/1.00 (((((ra @ Y0 @ Y2) & (ra @ Y0 @ Y1))) => 0.49/1.00 (ra @ Y1 @ Y2))))))))))))), 0.49/1.00 inference('cnf', [status(esa)], [zf_stmt_6])). 0.49/1.00 thf(zip_derived_cl9, plain, 0.49/1.00 (![X2 : $i]: 0.49/1.00 (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((ra @ X2 @ Y1) & (ra @ X2 @ Y0))) => 0.49/1.00 (ra @ Y0 @ Y1)))))))))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 0.49/1.00 thf(zip_derived_cl10, plain, 0.49/1.00 (![X2 : $i, X4 : $i]: 0.49/1.00 (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((ra @ X2 @ Y0) & (ra @ X2 @ X4))) => (ra @ X4 @ Y0))))))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 0.49/1.00 thf(zip_derived_cl11, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 (((((ra @ X2 @ X6) & (ra @ X2 @ X4))) => (ra @ X4 @ X6)))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 0.49/1.00 thf(zip_derived_cl12, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 (~ (((ra @ X2 @ X6) & (ra @ X2 @ X4))) | (ra @ X4 @ X6))), 0.49/1.00 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 0.49/1.00 thf(zip_derived_cl13, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 (~ (ra @ X2 @ X6) | ~ (ra @ X2 @ X4) | (ra @ X4 @ X6))), 0.49/1.00 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])). 0.49/1.00 thf(zip_derived_cl83, plain, 0.49/1.00 (![X0 : $i]: ( ('#form6') | (ra @ X0 @ '#sk10') | ~ (ra @ '#sk7' @ X0))), 0.49/1.00 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl13])). 0.49/1.00 thf(zip_derived_cl241, plain, 0.49/1.00 (( ('#form6') | (ra @ '#sk11' @ '#sk10') | ('#form6'))), 0.49/1.00 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl83])). 0.49/1.00 thf(zip_derived_cl247, plain, (( (ra @ '#sk11' @ '#sk10') | ('#form6'))), 0.49/1.00 inference('simplify', [status(thm)], [zip_derived_cl241])). 0.49/1.00 thf(zip_derived_cl8, plain, (![X2 : $i]: (ra @ X2 @ X2)), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 0.49/1.00 thf(zip_derived_cl13, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 (~ (ra @ X2 @ X6) | ~ (ra @ X2 @ X4) | (ra @ X4 @ X6))), 0.49/1.00 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])). 0.49/1.00 thf(zip_derived_cl71, plain, 0.49/1.00 (![X0 : $i, X1 : $i]: ( (ra @ X1 @ X0) | ~ (ra @ X0 @ X1))), 0.49/1.00 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl13])). 0.49/1.00 thf(zip_derived_cl263, plain, (( ('#form6') | (ra @ '#sk10' @ '#sk11'))), 0.49/1.00 inference('sup-', [status(thm)], [zip_derived_cl247, zip_derived_cl71])). 0.49/1.00 thf(zip_derived_cl55, plain, 0.49/1.00 (( (((!!) @ (^[Y0 : $i]: 0.49/1.00 (((((~) @ (ra @ '#sk7' @ Y0))) | 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (rb @ Y0 @ Y1))) | ('#sk9' @ Y1)))))) | 0.49/1.00 (((!!) @ (^[Y1 : $i]: 0.49/1.00 (((((~) @ (ra @ Y0 @ Y1))) | ('#sk8' @ Y1))))))))))) 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl51])). 0.49/1.00 thf(zip_derived_cl59, plain, 0.49/1.00 (![X2 : $i]: 0.49/1.00 ( (((((~) @ (ra @ '#sk7' @ X2))) | 0.49/1.00 (((!!) @ (^[Y0 : $i]: (((((~) @ (rb @ X2 @ Y0))) | ('#sk9' @ Y0)))))) | 0.49/1.00 (((!!) @ (^[Y0 : $i]: (((((~) @ (ra @ X2 @ Y0))) | ('#sk8' @ Y0)))))))) 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl55])). 0.49/1.00 thf(zip_derived_cl65, plain, 0.49/1.00 (![X2 : $i]: 0.49/1.00 (~ (ra @ '#sk7' @ X2) 0.49/1.00 | (((!!) @ (^[Y0 : $i]: (((((~) @ (rb @ X2 @ Y0))) | ('#sk9' @ Y0)))))) 0.49/1.00 | (((!!) @ (^[Y0 : $i]: (((((~) @ (ra @ X2 @ Y0))) | ('#sk8' @ Y0)))))) 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl59])). 0.49/1.00 thf(zip_derived_cl67, plain, 0.49/1.00 (![X2 : $i, X4 : $i]: 0.49/1.00 ( (((((~) @ (rb @ X2 @ X4))) | ('#sk9' @ X4))) 0.49/1.00 | ('#form6') 0.49/1.00 | (((!!) @ (^[Y0 : $i]: (((((~) @ (ra @ X2 @ Y0))) | ('#sk8' @ Y0)))))) 0.49/1.00 | ~ (ra @ '#sk7' @ X2))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl65])). 0.49/1.00 thf(zip_derived_cl68, plain, 0.49/1.00 (![X2 : $i, X4 : $i]: 0.49/1.00 (~ (rb @ X2 @ X4) 0.49/1.00 | ('#sk9' @ X4) 0.49/1.00 | ~ (ra @ '#sk7' @ X2) 0.49/1.00 | (((!!) @ (^[Y0 : $i]: (((((~) @ (ra @ X2 @ Y0))) | ('#sk8' @ Y0)))))) 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl67])). 0.49/1.00 thf(zip_derived_cl69, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 ( (((((~) @ (ra @ X2 @ X6))) | ('#sk8' @ X6))) 0.49/1.00 | ('#form6') 0.49/1.00 | ~ (ra @ '#sk7' @ X2) 0.49/1.00 | ('#sk9' @ X4) 0.49/1.00 | ~ (rb @ X2 @ X4))), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl68])). 0.49/1.00 thf(zip_derived_cl70, plain, 0.49/1.00 (![X2 : $i, X4 : $i, X6 : $i]: 0.49/1.00 (~ (ra @ X2 @ X6) 0.49/1.00 | ('#sk8' @ X6) 0.49/1.00 | ~ (rb @ X2 @ X4) 0.49/1.00 | ('#sk9' @ X4) 0.49/1.00 | ~ (ra @ '#sk7' @ X2) 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl69])). 0.49/1.00 thf(zip_derived_cl279, plain, 0.49/1.00 (![X0 : $i]: 0.49/1.00 ( ('#form6') 0.49/1.00 | ('#form6') 0.49/1.00 | ~ (ra @ '#sk7' @ '#sk10') 0.49/1.00 | ('#sk9' @ X0) 0.49/1.00 | ~ (rb @ '#sk10' @ X0) 0.49/1.00 | ('#sk8' @ '#sk11'))), 0.49/1.00 inference('sup-', [status(thm)], [zip_derived_cl263, zip_derived_cl70])). 0.49/1.00 thf(zip_derived_cl287, plain, 0.49/1.00 (![X0 : $i]: 0.49/1.00 ( ('#sk8' @ '#sk11') 0.49/1.00 | ~ (rb @ '#sk10' @ X0) 0.49/1.00 | ('#sk9' @ X0) 0.49/1.00 | ~ (ra @ '#sk7' @ '#sk10') 0.49/1.00 | ('#form6'))), 0.49/1.00 inference('simplify', [status(thm)], [zip_derived_cl279])). 0.49/1.00 thf(zip_derived_cl64, plain, ((~ ('#sk8' @ '#sk11') | ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl58])). 0.49/1.00 thf(zip_derived_cl578, plain, (~ ('#form6')), 0.49/1.00 inference('clc', [status(thm)], [zip_derived_cl570, zip_derived_cl46])). 0.49/1.00 thf(zip_derived_cl582, plain, (~ ('#sk8' @ '#sk11')), 0.49/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl578])). 0.49/1.00 thf(zip_derived_cl61, plain, (( (ra @ '#sk7' @ '#sk10') | ('#form6'))), 0.49/1.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl57])). 0.49/1.00 thf(zip_derived_cl578, plain, (~ ('#form6')), 0.49/1.00 inference('clc', [status(thm)], [zip_derived_cl570, zip_derived_cl46])). 0.49/1.00 thf(zip_derived_cl579, plain, ( (ra @ '#sk7' @ '#sk10')), 0.49/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl578])). 0.49/1.00 thf(zip_derived_cl578, plain, (~ ('#form6')), 0.49/1.00 inference('clc', [status(thm)], [zip_derived_cl570, zip_derived_cl46])). 0.49/1.00 thf(zip_derived_cl754, plain, 0.49/1.00 (![X0 : $i]: (~ (rb @ '#sk10' @ X0) | ('#sk9' @ X0))), 0.49/1.00 inference('demod', [status(thm)], 0.49/1.00 [zip_derived_cl287, zip_derived_cl582, zip_derived_cl579, 0.49/1.00 zip_derived_cl578])). 0.49/1.00 thf(zip_derived_cl7, plain, (![X2 : $i]: (rb @ X2 @ X2)), 0.49/1.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 0.49/1.00 thf(zip_derived_cl755, plain, ( ('#sk9' @ '#sk10')), 0.49/1.00 inference('sup+', [status(thm)], [zip_derived_cl754, zip_derived_cl7])). 0.49/1.00 thf(zip_derived_cl759, plain, ($false), 0.49/1.00 inference('demod', [status(thm)], [zip_derived_cl580, zip_derived_cl755])). 0.49/1.00 0.49/1.00 % SZS output end Refutation 0.49/1.00 0.49/1.00 0.49/1.00 % Terminating... 4.21/1.13 % Runner terminated. 4.21/1.13 % Zipperpin 1.5 exiting 4.21/1.14 EOF