0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5dHI0nts39 true 0.14/0.36 % Computer : n004.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1440 0.14/0.36 % WCLimit : 180 0.14/0.36 % DateTime : Mon Jul 3 10:00:15 EDT 2023 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 1440 s 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.37 % Python version: Python 3.6.8 0.14/0.37 % Running in HO mode 0.56/0.67 % Total configuration time : 828 0.56/0.67 % Estimated wc time : 1656 0.56/0.67 % Estimated cpu time (8 cpus) : 207.0 0.57/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 234.00/30.70 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 311.26/40.59 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 331.22/43.17 % Solved by lams/35_full_unif.sh. 331.22/43.17 % done 175 iterations in 2.545s 331.22/43.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 331.22/43.17 % SZS output start Refutation 331.22/43.17 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 331.22/43.17 thf('#sk1_type', type, '#sk1': $i > $i > $o). 331.22/43.17 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 331.22/43.17 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 331.22/43.17 thf(mdia_type, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 331.22/43.17 thf('#sk12_type', type, '#sk12': $i > $o). 331.22/43.17 thf('#sk4_type', type, '#sk4': $i). 331.22/43.17 thf('#sk5_type', type, '#sk5': $i > $o). 331.22/43.17 thf('#form3_type', type, '#form3': $o). 331.22/43.17 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 331.22/43.17 thf('#sk2_type', type, '#sk2': $i). 331.22/43.17 thf(mforall_prop_type, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 331.22/43.17 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 331.22/43.17 thf(mvalid, axiom,(( mvalid ) = 331.22/43.17 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))). 331.22/43.17 thf('0', plain, 331.22/43.17 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )), 331.22/43.17 inference('simplify_rw_rule', [status(thm)], [mvalid])). 331.22/43.17 thf('1', plain, 331.22/43.17 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 331.22/43.17 define([status(thm)])). 331.22/43.17 thf(mdia, axiom,(( mdia ) = 331.22/43.17 (^[R:( $i > $i > $o ),Phi:( $i > $o )]: 331.22/43.17 ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) )))). 331.22/43.17 thf(mbox, axiom,(( mbox ) = 331.22/43.17 (^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]: 331.22/43.17 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) )))). 331.22/43.17 thf('2', plain, 331.22/43.17 (( mbox ) = 331.22/43.17 ( ^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]: 331.22/43.17 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) ) )), 331.22/43.17 inference('simplify_rw_rule', [status(thm)], [mbox])). 331.22/43.17 thf('3', plain, 331.22/43.17 (( mbox ) = 331.22/43.17 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]: 331.22/43.17 ( ![X4:$i]: ( ( V_2 @ X4 ) | ( ~( V_1 @ V_3 @ X4 ) ) ) ) )), 331.22/43.17 define([status(thm)])). 331.22/43.17 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))). 331.22/43.17 thf('4', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )), 331.22/43.17 inference('simplify_rw_rule', [status(thm)], [mnot])). 331.22/43.17 thf('5', plain, 331.22/43.17 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 331.22/43.17 define([status(thm)])). 331.22/43.17 thf('6', plain, 331.22/43.17 (( mdia ) = 331.22/43.17 ( ^[R:( $i > $i > $o ),Phi:( $i > $o )]: 331.22/43.17 ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) )), 331.22/43.17 inference('simplify_rw_rule', [status(thm)], [mdia, '3', '5'])). 331.22/43.17 thf('7', plain, 331.22/43.17 (( mdia ) = 331.22/43.17 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o )]: 331.22/43.17 ( mnot @ ( mbox @ V_1 @ ( mnot @ V_2 ) ) ) )), 331.22/43.17 define([status(thm)])). 331.22/43.17 thf(mforall_prop, axiom,(( mforall_prop ) = 331.22/43.17 (^[Phi:( ( $i > $o ) > $i > $o ),W:$i]: 331.22/43.17 ( ![P:( $i > $o )]: ( Phi @ P @ W ) )))). 331.22/43.17 thf('8', plain, 331.22/43.17 (( mforall_prop ) = 331.22/43.17 ( ^[Phi:( ( $i > $o ) > $i > $o ),W:$i]: 331.22/43.17 ( ![P:( $i > $o )]: ( Phi @ P @ W ) ) )), 331.22/43.17 inference('simplify_rw_rule', [status(thm)], [mforall_prop])). 331.22/43.17 thf('9', plain, 331.22/43.17 (( mforall_prop ) = 331.22/43.17 ( ^[V_1:( ( $i > $o ) > $i > $o ),V_2:$i]: 331.22/43.17 ( ![X4:( $i > $o )]: ( V_1 @ X4 @ V_2 ) ) )), 331.22/43.17 define([status(thm)])). 331.22/43.17 thf(mimplies, axiom,(( mimplies ) = 331.22/43.17 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))). 331.22/43.17 thf(mor, axiom,(( mor ) = 331.22/43.17 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))). 331.22/43.17 thf('10', plain, 331.22/43.17 (( mor ) = 331.22/43.17 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )), 331.22/43.17 inference('simplify_rw_rule', [status(thm)], [mor])). 331.22/43.17 thf('11', plain, 331.22/43.17 (( mor ) = 331.22/43.17 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 331.22/43.17 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 331.22/43.17 define([status(thm)])). 331.22/43.17 thf('12', plain, 331.22/43.17 (( mimplies ) = 331.22/43.17 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )), 331.22/43.17 inference('simplify_rw_rule', [status(thm)], [mimplies, '11', '5'])). 331.22/43.17 thf('13', plain, 331.22/43.17 (( mimplies ) = 331.22/43.17 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 331.22/43.17 define([status(thm)])). 331.22/43.17 thf(conj, conjecture, 331.22/43.17 (![R:( $i > $i > $o )]: 331.22/43.17 ( ( mvalid @ 331.22/43.17 ( mforall_prop @ 331.22/43.17 ( ^[Phi:( $i > $o )]: 331.22/43.17 ( mimplies @ 331.22/43.17 ( mnot @ ( mbox @ R @ Phi ) ) @ 331.22/43.17 ( mbox @ R @ ( mnot @ ( mbox @ R @ Phi ) ) ) ) ) ) ) <=> 331.22/43.17 ( mvalid @ 331.22/43.17 ( mforall_prop @ 331.22/43.17 ( ^[Phi:( $i > $o )]: 331.22/43.17 ( mimplies @ 331.22/43.17 ( mdia @ R @ Phi ) @ ( mbox @ R @ ( mdia @ R @ Phi ) ) ) ) ) ) ))). 331.22/43.17 thf(zf_stmt_0, conjecture, 331.22/43.17 (![X4:( $i > $i > $o )]: 331.22/43.17 ( ( ![X6:$i,X8:( $i > $o )]: 331.22/43.17 ( ( ![X12:$i]: 331.22/43.17 ( ( ~( X4 @ X6 @ X12 ) ) | 331.22/43.17 ( ~( ![X14:$i]: ( ( ~( X4 @ X12 @ X14 ) ) | ( X8 @ X14 ) ) ) ) ) ) | 331.22/43.17 ( ![X10:$i]: ( ( ~( X4 @ X6 @ X10 ) ) | ( X8 @ X10 ) ) ) ) ) <=> 331.22/43.17 ( ![X16:$i,X18:( $i > $o )]: 331.22/43.17 ( ( ![X22:$i]: 331.22/43.17 ( ( ~( X4 @ X16 @ X22 ) ) | 331.22/43.17 ( ~( ![X24:$i]: ( ( ~( X4 @ X22 @ X24 ) ) | ( ~( X18 @ X24 ) ) ) ) ) ) ) | 331.22/43.17 ( ![X20:$i]: ( ( ~( X4 @ X16 @ X20 ) ) | ( ~( X18 @ X20 ) ) ) ) ) ) ))). 331.22/43.17 thf(zf_stmt_1, negated_conjecture, 331.22/43.17 (~( ![X4:( $i > $i > $o )]: 331.22/43.17 ( ( ![X6:$i,X8:( $i > $o )]: 331.22/43.17 ( ( ![X12:$i]: 331.22/43.17 ( ( ~( X4 @ X6 @ X12 ) ) | 331.22/43.17 ( ~( ![X14:$i]: ( ( ~( X4 @ X12 @ X14 ) ) | ( X8 @ X14 ) ) ) ) ) ) | 331.22/43.17 ( ![X10:$i]: ( ( ~( X4 @ X6 @ X10 ) ) | ( X8 @ X10 ) ) ) ) ) <=> 331.22/43.17 ( ![X16:$i,X18:( $i > $o )]: 331.22/43.17 ( ( ![X22:$i]: 331.22/43.17 ( ( ~( X4 @ X16 @ X22 ) ) | 331.22/43.17 ( ~( ![X24:$i]: 331.22/43.17 ( ( ~( X4 @ X22 @ X24 ) ) | ( ~( X18 @ X24 ) ) ) ) ) ) ) | 331.22/43.17 ( ![X20:$i]: ( ( ~( X4 @ X16 @ X20 ) ) | ( ~( X18 @ X20 ) ) ) ) ) ) ) )), 331.22/43.17 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 331.22/43.17 thf(zip_derived_cl0, plain, 331.22/43.17 (~ (((!!) @ (^[Y0 : $i > $i > $o]: 331.22/43.17 (((((!!) @ (^[Y1 : $i]: 331.22/43.17 (((!!) @ (^[Y2 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y3 : $i]: 331.22/43.17 (((((~) @ ( 331.22/43.17 Y0 @ Y1 @ Y3))) | 331.22/43.17 (((~) @ ( 331.22/43.17 ((!!) @ ( 331.22/43.17 ^[Y4 : $i]: 331.22/43.17 (((( 331.22/43.17 (~) @ ( 331.22/43.17 Y0 @ 331.22/43.17 Y3 @ Y4))) | 331.22/43.17 (Y2 @ Y4))))))))))))) | 331.22/43.17 (((!!) @ (^[Y3 : $i]: 331.22/43.17 (((((~) @ ( 331.22/43.17 Y0 @ Y1 @ Y3))) | 331.22/43.17 (Y2 @ Y3)))))))))))))) <=> 331.22/43.17 (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((!!) @ (^[Y2 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y3 : $i]: 331.22/43.17 (((((~) @ ( 331.22/43.17 Y0 @ Y1 @ Y3))) | 331.22/43.17 (((~) @ ( 331.22/43.17 ((!!) @ ( 331.22/43.17 ^[Y4 : $i]: 331.22/43.17 (((( 331.22/43.17 (~) @ ( 331.22/43.17 Y0 @ 331.22/43.17 Y3 @ Y4))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y2 @ Y4))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y3 : $i]: 331.22/43.17 (((((~) @ ( 331.22/43.17 Y0 @ Y1 @ Y3))) | 331.22/43.17 (((~) @ ( 331.22/43.17 Y2 @ Y3)))))))))))))))))))))), 331.22/43.17 inference('cnf', [status(esa)], [zf_stmt_1])). 331.22/43.17 thf(zip_derived_cl1, plain, 331.22/43.17 (~ (((((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (Y1 @ Y3))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (Y1 @ Y2)))))))))))))) <=> 331.22/43.17 (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2))))))))))))))))))), 331.22/43.17 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 331.22/43.17 thf(zip_derived_cl2, plain, 331.22/43.17 (((((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (((( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (Y1 @ Y3))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (Y1 @ Y2)))))))))))))) 331.22/43.17 != (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2)))))))))))))))))), 331.22/43.17 inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])). 331.22/43.17 thf(zip_derived_cl3, plain, 331.22/43.17 (( (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (Y1 @ Y3))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (Y1 @ Y2)))))))))))))) 331.22/43.17 | (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2)))))))))))))))))), 331.22/43.17 inference('lazy_cnf_xor', [status(thm)], [zip_derived_cl2])). 331.22/43.17 thf(zip_derived_cl3, plain, 331.22/43.17 (( (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (Y1 @ Y3))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (Y1 @ Y2)))))))))))))) 331.22/43.17 | (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2)))))))))))))))))), 331.22/43.17 inference('lazy_cnf_xor', [status(thm)], [zip_derived_cl2])). 331.22/43.17 thf(zip_derived_cl10, plain, 331.22/43.17 ((~ ('#form3') 331.22/43.17 | (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2)))))))))))))))))), 331.22/43.17 define([status(thm)])). 331.22/43.17 thf(zip_derived_cl2, plain, 331.22/43.17 (((((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (((( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (Y1 @ Y3))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (Y1 @ Y2)))))))))))))) 331.22/43.17 != (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2)))))))))))))))))), 331.22/43.17 inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])). 331.22/43.17 thf(zip_derived_cl4, plain, 331.22/43.17 ((~ (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 ( 331.22/43.17 ( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (Y1 @ Y3))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (Y1 @ Y2)))))))))))))) 331.22/43.17 | ~ (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2)))))))))))))))))), 331.22/43.17 inference('lazy_cnf_xor', [status(thm)], [zip_derived_cl2])). 331.22/43.17 thf(zip_derived_cl5, plain, 331.22/43.17 ((~ (((!!) @ (^[Y0 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y1))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ 331.22/43.17 Y1 @ Y2))) | 331.22/43.17 (Y0 @ Y2))))))))))))) | 331.22/43.17 (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y1))) | (Y0 @ 331.22/43.17 Y1))))))))))) 331.22/43.17 | ~ (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2)))))))))))))))))), 331.22/43.17 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 331.22/43.17 thf(zip_derived_cl6, plain, 331.22/43.17 (( ('#form3') 331.22/43.17 | ~ (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2)))))))))))))))))), 331.22/43.17 define([status(thm)])). 331.22/43.17 thf(zip_derived_cl12, plain, 331.22/43.17 (( ('#form3') 331.22/43.17 | (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (Y1 @ Y3))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (Y1 @ Y2)))))))))))))))), 331.22/43.17 inference('renaming', [status(thm)], 331.22/43.17 [zip_derived_cl3, zip_derived_cl10, zip_derived_cl6])). 331.22/43.17 thf(zip_derived_cl32, plain, 331.22/43.17 (![X2 : $i]: 331.22/43.17 ( (((!!) @ (^[Y0 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X2 @ Y1))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ 331.22/43.17 Y1 @ Y2))) | 331.22/43.17 (Y0 @ Y2))))))))))))) | 331.22/43.17 (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X2 @ Y1))) | (Y0 @ Y1))))))))))) 331.22/43.17 | ('#form3'))), 331.22/43.17 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 331.22/43.17 thf(zip_derived_cl193, plain, 331.22/43.17 (![X2 : $i, X4 : $i > $o]: 331.22/43.17 ( (((((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X2 @ Y0))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 331.22/43.17 (X4 @ Y1))))))))))))) | 331.22/43.17 (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk1' @ X2 @ Y0))) | (X4 @ Y0)))))))) 331.22/43.17 | ('#form3'))), 331.22/43.17 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 331.22/43.17 thf(zip_derived_cl196, plain, 331.22/43.17 (![X0 : $i > $o, X1 : $i]: 331.22/43.17 ( (((((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X1 @ Y0))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 331.22/43.17 (((~) @ (X0 @ Y1))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X1 @ Y0))) | (((~) @ (X0 @ Y0)))))))))) 331.22/43.17 | ('#form3'))), 331.22/43.17 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl193])). 331.22/43.17 thf(zip_derived_cl10, plain, 331.22/43.17 ((~ ('#form3') 331.22/43.17 | (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2)))))))))))))))))), 331.22/43.17 define([status(thm)])). 331.22/43.17 thf(zip_derived_cl11, plain, 331.22/43.17 (![X2 : $i]: 331.22/43.17 ( (((!!) @ (^[Y0 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X2 @ Y1))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ 331.22/43.17 Y1 @ Y2))) | 331.22/43.17 (((~) @ (Y0 @ Y2))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X2 @ Y1))) | 331.22/43.17 (((~) @ (Y0 @ Y1))))))))))))) 331.22/43.17 | ~ ('#form3'))), 331.22/43.17 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 331.22/43.17 thf(zip_derived_cl14, plain, 331.22/43.17 (![X2 : $i, X4 : $i > $o]: 331.22/43.17 ( (((((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X2 @ Y0))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 331.22/43.17 (((~) @ (X4 @ Y1))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X2 @ Y0))) | (((~) @ (X4 @ Y0)))))))))) 331.22/43.17 | ~ ('#form3'))), 331.22/43.17 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 331.22/43.17 thf(zip_derived_cl16, plain, 331.22/43.17 (![X0 : $i > $o, X1 : $i]: 331.22/43.17 ( (((((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X1 @ Y0))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 331.22/43.17 (((~) @ (((~) @ (X0 @ Y1))))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X1 @ Y0))) | 331.22/43.17 (((~) @ (((~) @ (X0 @ Y0)))))))))))) 331.22/43.17 | ~ ('#form3'))), 331.22/43.17 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl14])). 331.22/43.17 thf(zip_derived_cl129, plain, 331.22/43.17 (![X0 : $i > $o, X1 : $i]: 331.22/43.17 ( (((((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X1 @ Y0))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 331.22/43.17 (X0 @ Y1))))))))))))) | 331.22/43.17 (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk1' @ X1 @ Y0))) | (X0 @ Y0)))))))) 331.22/43.17 | ~ ('#form3'))), 331.22/43.17 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl16])). 331.22/43.17 thf(zip_derived_cl130, plain, 331.22/43.17 (![X0 : $i > $o, X1 : $i]: 331.22/43.17 ( (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X1 @ Y0))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 331.22/43.17 (X0 @ Y1))))))))))))) 331.22/43.17 | (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk1' @ X1 @ Y0))) | (X0 @ Y0)))))) 331.22/43.17 | ~ ('#form3'))), 331.22/43.17 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl129])). 331.22/43.17 thf(zip_derived_cl5, plain, 331.22/43.17 ((~ (((!!) @ (^[Y0 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y1))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ 331.22/43.17 Y1 @ Y2))) | 331.22/43.17 (Y0 @ Y2))))))))))))) | 331.22/43.17 (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y1))) | (Y0 @ 331.22/43.17 Y1))))))))))) 331.22/43.17 | ~ (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2)))))))))))))))))), 331.22/43.17 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 331.22/43.17 thf(zip_derived_cl6, plain, 331.22/43.17 (( ('#form3') 331.22/43.17 | ~ (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2)))))))))))))))))), 331.22/43.17 define([status(thm)])). 331.22/43.17 thf(zip_derived_cl8, plain, 331.22/43.17 ((~ ('#form3') 331.22/43.17 | ~ (((!!) @ (^[Y0 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y1))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ( 331.22/43.17 '#sk1' @ Y1 @ 331.22/43.17 Y2))) | 331.22/43.17 (Y0 @ Y2))))))))))))) | 331.22/43.17 (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y1))) | 331.22/43.17 (Y0 @ Y1))))))))))))), 331.22/43.17 inference('renaming', [status(thm)], [zip_derived_cl5, zip_derived_cl6])). 331.22/43.17 thf(zip_derived_cl26, plain, 331.22/43.17 ((~ (((((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y0))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 331.22/43.17 ('#sk12' @ Y1))))))))))))) | 331.22/43.17 (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y0))) | ('#sk12' @ Y0)))))))) 331.22/43.17 | ~ ('#form3'))), 331.22/43.17 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 331.22/43.17 thf(zip_derived_cl27, plain, 331.22/43.17 ((~ (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y0))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 331.22/43.17 ('#sk12' @ Y1))))))))))))) 331.22/43.17 | ~ ('#form3'))), 331.22/43.17 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl26])). 331.22/43.17 thf(zip_derived_cl265, plain, 331.22/43.17 ((~ ('#form3') 331.22/43.17 | (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y0))) | 331.22/43.17 ((^[Y1 : $i]: ('#sk12' @ Y1)) @ Y0)))))) 331.22/43.17 | ~ ('#form3'))), 331.22/43.17 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl27])). 331.22/43.17 thf(zip_derived_cl277, plain, 331.22/43.17 ((~ ('#form3') 331.22/43.17 | (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y0))) | ('#sk12' @ Y0)))))) 331.22/43.17 | ~ ('#form3'))), 331.22/43.17 inference('ho_norm', [status(thm)], [zip_derived_cl265])). 331.22/43.17 thf(zip_derived_cl278, plain, 331.22/43.17 (( (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y0))) | ('#sk12' @ Y0)))))) 331.22/43.17 | ~ ('#form3'))), 331.22/43.17 inference('simplify', [status(thm)], [zip_derived_cl277])). 331.22/43.17 thf(zip_derived_cl28, plain, 331.22/43.17 ((~ (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk2' @ Y0))) | ('#sk12' @ Y0)))))) 331.22/43.17 | ~ ('#form3'))), 331.22/43.17 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl26])). 331.22/43.17 thf(zip_derived_cl533, plain, (~ ('#form3')), 331.22/43.17 inference('clc', [status(thm)], [zip_derived_cl278, zip_derived_cl28])). 331.22/43.17 thf(zip_derived_cl576, plain, 331.22/43.17 (![X0 : $i > $o, X1 : $i]: 331.22/43.17 (((((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X1 @ Y0))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 331.22/43.17 (((~) @ (X0 @ Y1))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ X1 @ Y0))) | (((~) @ (X0 @ Y0))))))))))), 331.22/43.17 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl533])). 331.22/43.17 thf(zip_derived_cl6, plain, 331.22/43.17 (( ('#form3') 331.22/43.17 | ~ (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((!!) @ (^[Y1 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y3 : $i]: 331.22/43.17 (( 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 '#sk1' @ 331.22/43.17 Y2 @ Y3))) | 331.22/43.17 (( 331.22/43.17 (~) @ ( 331.22/43.17 Y1 @ Y3))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 331.22/43.17 (((~) @ (Y1 @ Y2)))))))))))))))))), 331.22/43.17 define([status(thm)])). 331.22/43.17 thf(zip_derived_cl7, plain, 331.22/43.17 ((~ (((!!) @ (^[Y0 : $i > $o]: 331.22/43.17 (((((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk4' @ Y1))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y2 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ 331.22/43.17 Y1 @ Y2))) | 331.22/43.17 (((~) @ (Y0 @ Y2))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk4' @ Y1))) | 331.22/43.17 (((~) @ (Y0 @ Y1))))))))))))) 331.22/43.17 | ('#form3'))), 331.22/43.17 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 331.22/43.17 thf(zip_derived_cl9, plain, 331.22/43.17 ((~ (((((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk4' @ Y0))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 331.22/43.17 (((~) @ ('#sk5' @ Y1))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk4' @ Y0))) | 331.22/43.17 (((~) @ ('#sk5' @ Y0)))))))))) 331.22/43.17 | ('#form3'))), 331.22/43.17 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 331.22/43.17 thf(zip_derived_cl533, plain, (~ ('#form3')), 331.22/43.17 inference('clc', [status(thm)], [zip_derived_cl278, zip_derived_cl28])). 331.22/43.17 thf(zip_derived_cl535, plain, 331.22/43.17 (~ (((((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk4' @ Y0))) | 331.22/43.17 (((~) @ (((!!) @ (^[Y1 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 331.22/43.17 (((~) @ ('#sk5' @ Y1))))))))))))))) | 331.22/43.17 (((!!) @ (^[Y0 : $i]: 331.22/43.17 (((((~) @ ('#sk1' @ '#sk4' @ Y0))) | 331.22/43.17 (((~) @ ('#sk5' @ Y0))))))))))), 331.22/43.17 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl533])). 331.22/43.17 thf(zip_derived_cl577, plain, ($false), 331.22/43.17 inference('sup-', [status(thm)], [zip_derived_cl576, zip_derived_cl535])). 331.22/43.17 331.22/43.17 % SZS output end Refutation 331.22/43.17 331.22/43.17 331.22/43.17 % Terminating... 331.63/43.26 % Runner terminated. 331.63/43.26 % Zipperpin 1.5 exiting 331.63/43.26 EOF