0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CEFS1YuSkC true 0.10/0.35 % Computer : n010.cluster.edu 0.10/0.35 % Model : x86_64 x86_64 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.35 % Memory : 8042.1875MB 0.10/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.35 % CPULimit : 1200 0.10/0.35 % WCLimit : 120 0.10/0.35 % DateTime : Tue Jul 13 14:00:36 EDT 2021 0.10/0.35 % CPUTime : 0.10/0.35 % Running portfolio for 120 s 0.10/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.10/0.36 % Number of cores: 8 0.10/0.36 % Python version: Python 3.6.8 0.16/0.36 % Running in HO mode 0.48/0.66 % Total configuration time : 828 0.48/0.66 % Estimated wc time : 983 0.48/0.66 % Estimated cpu time (8 cpus) : 122.875 0.48/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s 0.49/0.84 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s 0.49/0.84 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s 0.49/0.85 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s 0.49/0.87 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s 0.50/0.88 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s 0.50/0.94 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.50/0.94 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s 118.70/18.78 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 53s 165.27/24.97 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 33s 193.08/28.63 % Solved by lams/35_full_unif.sh. 193.08/28.63 % done 153 iterations in 3.566s 193.08/28.63 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 193.08/28.63 % SZS output start Refutation 193.08/28.63 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o). 193.08/28.63 thf(mdia_type, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 193.08/28.63 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 193.08/28.63 thf(mforall_prop_type, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 193.08/28.63 thf('#sk5_type', type, '#sk5': $i > $o). 193.08/28.63 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 193.08/28.63 thf(mnot_type, type, mnot: ($i > $o) > $i > $o). 193.08/28.63 thf('#form3_type', type, '#form3': $o). 193.08/28.63 thf('#sk4_type', type, '#sk4': $i). 193.08/28.63 thf('#sk2_type', type, '#sk2': $i). 193.08/28.63 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 193.08/28.63 thf('#sk1_type', type, '#sk1': $i > $i > $o). 193.08/28.63 thf('#sk12_type', type, '#sk12': $i > $o). 193.08/28.63 thf(mvalid, axiom,(( mvalid ) = 193.08/28.63 (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))). 193.08/28.63 thf('0', plain, 193.08/28.63 (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )), 193.08/28.63 inference('simplify_rw_rule', [status(thm)], [mvalid])). 193.08/28.63 thf('1', plain, 193.08/28.63 (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )), 193.08/28.63 define([status(thm)])). 193.08/28.63 thf(mdia, axiom,(( mdia ) = 193.08/28.63 (^[R:( $i > $i > $o ),Phi:( $i > $o )]: 193.08/28.63 ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) )))). 193.08/28.63 thf(mbox, axiom,(( mbox ) = 193.08/28.63 (^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]: 193.08/28.63 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) )))). 193.08/28.63 thf('2', plain, 193.08/28.63 (( mbox ) = 193.08/28.63 ( ^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]: 193.08/28.63 ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) ) )), 193.08/28.63 inference('simplify_rw_rule', [status(thm)], [mbox])). 193.08/28.63 thf('3', plain, 193.08/28.63 (( mbox ) = 193.08/28.63 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]: 193.08/28.63 ( ![X4:$i]: ( ( V_2 @ X4 ) | ( ~( V_1 @ V_3 @ X4 ) ) ) ) )), 193.08/28.63 define([status(thm)])). 193.08/28.63 thf(mnot, axiom,(( mnot ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))). 193.08/28.63 thf('4', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )), 193.08/28.63 inference('simplify_rw_rule', [status(thm)], [mnot])). 193.08/28.63 thf('5', plain, 193.08/28.63 (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )), 193.08/28.63 define([status(thm)])). 193.08/28.63 thf('6', plain, 193.08/28.63 (( mdia ) = 193.08/28.63 ( ^[R:( $i > $i > $o ),Phi:( $i > $o )]: 193.08/28.63 ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) )), 193.08/28.63 inference('simplify_rw_rule', [status(thm)], [mdia, '3', '5'])). 193.08/28.63 thf('7', plain, 193.08/28.63 (( mdia ) = 193.08/28.63 ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o )]: 193.08/28.63 ( mnot @ ( mbox @ V_1 @ ( mnot @ V_2 ) ) ) )), 193.08/28.63 define([status(thm)])). 193.08/28.63 thf(mforall_prop, axiom,(( mforall_prop ) = 193.08/28.63 (^[Phi:( ( $i > $o ) > $i > $o ),W:$i]: 193.08/28.63 ( ![P:( $i > $o )]: ( Phi @ P @ W ) )))). 193.08/28.63 thf('8', plain, 193.08/28.63 (( mforall_prop ) = 193.08/28.63 ( ^[Phi:( ( $i > $o ) > $i > $o ),W:$i]: 193.08/28.63 ( ![P:( $i > $o )]: ( Phi @ P @ W ) ) )), 193.08/28.63 inference('simplify_rw_rule', [status(thm)], [mforall_prop])). 193.08/28.63 thf('9', plain, 193.08/28.63 (( mforall_prop ) = 193.08/28.63 ( ^[V_1:( ( $i > $o ) > $i > $o ),V_2:$i]: 193.08/28.63 ( ![X4:( $i > $o )]: ( V_1 @ X4 @ V_2 ) ) )), 193.08/28.63 define([status(thm)])). 193.08/28.63 thf(mimplies, axiom,(( mimplies ) = 193.08/28.63 (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))). 193.08/28.63 thf(mor, axiom,(( mor ) = 193.08/28.63 (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))). 193.08/28.63 thf('10', plain, 193.08/28.63 (( mor ) = 193.08/28.63 ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )), 193.08/28.63 inference('simplify_rw_rule', [status(thm)], [mor])). 193.08/28.63 thf('11', plain, 193.08/28.63 (( mor ) = 193.08/28.63 ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]: 193.08/28.63 ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )), 193.08/28.63 define([status(thm)])). 193.08/28.63 thf('12', plain, 193.08/28.63 (( mimplies ) = 193.08/28.63 ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )), 193.08/28.63 inference('simplify_rw_rule', [status(thm)], [mimplies, '11', '5'])). 193.08/28.63 thf('13', plain, 193.08/28.63 (( mimplies ) = 193.08/28.63 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )), 193.08/28.63 define([status(thm)])). 193.08/28.63 thf(conj, conjecture, 193.08/28.63 (![R:( $i > $i > $o )]: 193.08/28.63 ( ( mvalid @ 193.08/28.63 ( mforall_prop @ 193.08/28.63 ( ^[Phi:( $i > $o )]: 193.08/28.63 ( mimplies @ 193.08/28.63 ( mdia @ R @ Phi ) @ ( mbox @ R @ ( mdia @ R @ Phi ) ) ) ) ) ) <=> 193.08/28.63 ( mvalid @ 193.08/28.63 ( mforall_prop @ 193.08/28.63 ( ^[Phi:( $i > $o )]: 193.08/28.63 ( mimplies @ 193.08/28.63 ( mnot @ ( mbox @ R @ Phi ) ) @ 193.08/28.63 ( mbox @ R @ ( mnot @ ( mbox @ R @ Phi ) ) ) ) ) ) ) ))). 193.08/28.63 thf(zf_stmt_0, conjecture, 193.08/28.63 (![X4:( $i > $i > $o )]: 193.08/28.63 ( ( ![X6:$i,X8:( $i > $o )]: 193.08/28.63 ( ( ![X12:$i]: 193.08/28.63 ( ( ~( X4 @ X6 @ X12 ) ) | 193.08/28.63 ( ~( ![X14:$i]: ( ( ~( X4 @ X12 @ X14 ) ) | ( ~( X8 @ X14 ) ) ) ) ) ) ) | 193.08/28.63 ( ![X10:$i]: ( ( ~( X4 @ X6 @ X10 ) ) | ( ~( X8 @ X10 ) ) ) ) ) ) <=> 193.08/28.63 ( ![X16:$i,X18:( $i > $o )]: 193.08/28.63 ( ( ![X22:$i]: 193.08/28.63 ( ( ~( X4 @ X16 @ X22 ) ) | 193.08/28.63 ( ~( ![X24:$i]: ( ( ~( X4 @ X22 @ X24 ) ) | ( X18 @ X24 ) ) ) ) ) ) | 193.08/28.63 ( ![X20:$i]: ( ( ~( X4 @ X16 @ X20 ) ) | ( X18 @ X20 ) ) ) ) ) ))). 193.08/28.63 thf(zf_stmt_1, negated_conjecture, 193.08/28.63 (~( ![X4:( $i > $i > $o )]: 193.08/28.63 ( ( ![X6:$i,X8:( $i > $o )]: 193.08/28.63 ( ( ![X12:$i]: 193.08/28.63 ( ( ~( X4 @ X6 @ X12 ) ) | 193.08/28.63 ( ~( ![X14:$i]: 193.08/28.63 ( ( ~( X4 @ X12 @ X14 ) ) | ( ~( X8 @ X14 ) ) ) ) ) ) ) | 193.08/28.63 ( ![X10:$i]: ( ( ~( X4 @ X6 @ X10 ) ) | ( ~( X8 @ X10 ) ) ) ) ) ) <=> 193.08/28.63 ( ![X16:$i,X18:( $i > $o )]: 193.08/28.63 ( ( ![X22:$i]: 193.08/28.63 ( ( ~( X4 @ X16 @ X22 ) ) | 193.08/28.63 ( ~( ![X24:$i]: ( ( ~( X4 @ X22 @ X24 ) ) | ( X18 @ X24 ) ) ) ) ) ) | 193.08/28.63 ( ![X20:$i]: ( ( ~( X4 @ X16 @ X20 ) ) | ( X18 @ X20 ) ) ) ) ) ) )), 193.08/28.63 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 193.08/28.63 thf(zip_derived_cl0, plain, 193.08/28.63 (~ (((!!) @ (^[Y0 : $i > $i > $o]: 193.08/28.63 (((((!!) @ (^[Y1 : $i]: 193.08/28.63 (((!!) @ (^[Y2 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y3 : $i]: 193.08/28.63 (((((~) @ ( 193.08/28.63 Y0 @ Y1 @ Y3))) | 193.08/28.63 (((~) @ ( 193.08/28.63 ((!!) @ ( 193.08/28.63 ^[Y4 : $i]: 193.08/28.63 (((( 193.08/28.63 (~) @ ( 193.08/28.63 Y0 @ 193.08/28.63 Y3 @ Y4))) | 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 Y2 @ Y4))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y3 : $i]: 193.08/28.63 (((((~) @ ( 193.08/28.63 Y0 @ Y1 @ Y3))) | 193.08/28.63 (((~) @ ( 193.08/28.63 Y2 @ Y3)))))))))))))))) <=> 193.08/28.63 (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((!!) @ (^[Y2 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y3 : $i]: 193.08/28.63 (((((~) @ ( 193.08/28.63 Y0 @ Y1 @ Y3))) | 193.08/28.63 (((~) @ ( 193.08/28.63 ((!!) @ ( 193.08/28.63 ^[Y4 : $i]: 193.08/28.63 (((( 193.08/28.63 (~) @ ( 193.08/28.63 Y0 @ 193.08/28.63 Y3 @ Y4))) | 193.08/28.63 (Y2 @ Y4))))))))))))) | 193.08/28.63 (((!!) @ (^[Y3 : $i]: 193.08/28.63 (((((~) @ ( 193.08/28.63 Y0 @ Y1 @ Y3))) | 193.08/28.63 (Y2 @ Y3)))))))))))))))))))), 193.08/28.63 inference('cnf', [status(esa)], [zf_stmt_1])). 193.08/28.63 thf(zip_derived_cl1, plain, 193.08/28.63 (~ (((((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 Y1 @ Y3))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (Y1 @ Y2)))))))))))))))) <=> 193.08/28.63 (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2))))))))))))))))), 193.08/28.63 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 193.08/28.63 thf(zip_derived_cl2, plain, 193.08/28.63 (((((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (((( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 Y1 @ Y3))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (Y1 @ Y2)))))))))))))))) 193.08/28.63 != (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2)))))))))))))))), 193.08/28.63 inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])). 193.08/28.63 thf(zip_derived_cl3, plain, 193.08/28.63 (( (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 Y1 @ Y3))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (Y1 @ Y2)))))))))))))))) 193.08/28.63 | (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2)))))))))))))))), 193.08/28.63 inference('lazy_cnf_xor', [status(thm)], [zip_derived_cl2])). 193.08/28.63 thf(zip_derived_cl3, plain, 193.08/28.63 (( (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 Y1 @ Y3))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (Y1 @ Y2)))))))))))))))) 193.08/28.63 | (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2)))))))))))))))), 193.08/28.63 inference('lazy_cnf_xor', [status(thm)], [zip_derived_cl2])). 193.08/28.63 thf(zip_derived_cl10, plain, 193.08/28.63 ((~ ('#form3') 193.08/28.63 | (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2)))))))))))))))), 193.08/28.63 define([status(thm)])). 193.08/28.63 thf(zip_derived_cl2, plain, 193.08/28.63 (((((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (((( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 Y1 @ Y3))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (Y1 @ Y2)))))))))))))))) 193.08/28.63 != (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2)))))))))))))))), 193.08/28.63 inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])). 193.08/28.63 thf(zip_derived_cl4, plain, 193.08/28.63 ((~ (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 ( 193.08/28.63 ( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 Y1 @ Y3))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (Y1 @ Y2)))))))))))))))) 193.08/28.63 | ~ (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2)))))))))))))))), 193.08/28.63 inference('lazy_cnf_xor', [status(thm)], [zip_derived_cl2])). 193.08/28.63 thf(zip_derived_cl5, plain, 193.08/28.63 ((~ (((!!) @ (^[Y0 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk2' @ Y1))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ 193.08/28.63 Y1 @ Y2))) | 193.08/28.63 (((~) @ (Y0 @ Y2))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk2' @ Y1))) | 193.08/28.63 (((~) @ (Y0 @ Y1))))))))))))) 193.08/28.63 | ~ (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2)))))))))))))))), 193.08/28.63 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 193.08/28.63 thf(zip_derived_cl6, plain, 193.08/28.63 (( ('#form3') 193.08/28.63 | ~ (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2)))))))))))))))), 193.08/28.63 define([status(thm)])). 193.08/28.63 thf(zip_derived_cl12, plain, 193.08/28.63 (( ('#form3') 193.08/28.63 | (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 Y1 @ Y3))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (Y1 @ Y2)))))))))))))))))), 193.08/28.63 inference('renaming', [status(thm)], 193.08/28.63 [zip_derived_cl3, zip_derived_cl10, zip_derived_cl6])). 193.08/28.63 thf(zip_derived_cl10, plain, 193.08/28.63 ((~ ('#form3') 193.08/28.63 | (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2)))))))))))))))), 193.08/28.63 define([status(thm)])). 193.08/28.63 thf(zip_derived_cl11, plain, 193.08/28.63 (![X2 : $i]: 193.08/28.63 ( (((!!) @ (^[Y0 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X2 @ Y1))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ 193.08/28.63 Y1 @ Y2))) | 193.08/28.63 (Y0 @ Y2))))))))))))) | 193.08/28.63 (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X2 @ Y1))) | (Y0 @ Y1))))))))))) 193.08/28.63 | ~ ('#form3'))), 193.08/28.63 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 193.08/28.63 thf(zip_derived_cl14, plain, 193.08/28.63 (![X2 : $i, X4 : $i > $o]: 193.08/28.63 ( (((((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X2 @ Y0))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 193.08/28.63 (X4 @ Y1))))))))))))) | 193.08/28.63 (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk1' @ X2 @ Y0))) | (X4 @ Y0)))))))) 193.08/28.63 | ~ ('#form3'))), 193.08/28.63 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 193.08/28.63 thf(zip_derived_cl16, plain, 193.08/28.63 (![X0 : $i > $o, X1 : $i]: 193.08/28.63 ( (((((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X1 @ Y0))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 193.08/28.63 (((~) @ (X0 @ Y1))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X1 @ Y0))) | (((~) @ (X0 @ Y0)))))))))) 193.08/28.63 | ~ ('#form3'))), 193.08/28.63 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl14])). 193.08/28.63 thf(zip_derived_cl5, plain, 193.08/28.63 ((~ (((!!) @ (^[Y0 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk2' @ Y1))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ 193.08/28.63 Y1 @ Y2))) | 193.08/28.63 (((~) @ (Y0 @ Y2))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk2' @ Y1))) | 193.08/28.63 (((~) @ (Y0 @ Y1))))))))))))) 193.08/28.63 | ~ (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2)))))))))))))))), 193.08/28.63 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 193.08/28.63 thf(zip_derived_cl6, plain, 193.08/28.63 (( ('#form3') 193.08/28.63 | ~ (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2)))))))))))))))), 193.08/28.63 define([status(thm)])). 193.08/28.63 thf(zip_derived_cl8, plain, 193.08/28.63 ((~ ('#form3') 193.08/28.63 | ~ (((!!) @ (^[Y0 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk2' @ Y1))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ( 193.08/28.63 '#sk1' @ Y1 @ 193.08/28.63 Y2))) | 193.08/28.63 (((~) @ (Y0 @ Y2))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk2' @ Y1))) | 193.08/28.63 (((~) @ (Y0 @ Y1))))))))))))))), 193.08/28.63 inference('renaming', [status(thm)], [zip_derived_cl5, zip_derived_cl6])). 193.08/28.63 thf(zip_derived_cl26, plain, 193.08/28.63 ((~ (((((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk2' @ Y0))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 193.08/28.63 (((~) @ ('#sk12' @ Y1))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk2' @ Y0))) | 193.08/28.63 (((~) @ ('#sk12' @ Y0)))))))))) 193.08/28.63 | ~ ('#form3'))), 193.08/28.63 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 193.08/28.63 thf(zip_derived_cl121, plain, ((~ ('#form3') | ~ ('#form3'))), 193.08/28.63 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl26])). 193.08/28.63 thf(zip_derived_cl123, plain, (~ ('#form3')), 193.08/28.63 inference('simplify', [status(thm)], [zip_derived_cl121])). 193.08/28.63 thf(zip_derived_cl135, plain, 193.08/28.63 ( (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (((( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 Y1 @ Y3))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (Y1 @ Y2))))))))))))))))), 193.08/28.63 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl123])). 193.08/28.63 thf(zip_derived_cl169, plain, 193.08/28.63 (![X2 : $i]: 193.08/28.63 (((!!) @ (^[Y0 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X2 @ Y1))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ 193.08/28.63 Y1 @ Y2))) | 193.08/28.63 (((~) @ (Y0 @ Y2))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X2 @ Y1))) | 193.08/28.63 (((~) @ (Y0 @ Y1)))))))))))))), 193.08/28.63 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl135])). 193.08/28.63 thf(zip_derived_cl171, plain, 193.08/28.63 (![X2 : $i, X4 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X2 @ Y0))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 193.08/28.63 (((~) @ (X4 @ Y1))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X2 @ Y0))) | (((~) @ (X4 @ Y0))))))))))), 193.08/28.63 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl169])). 193.08/28.63 thf(zip_derived_cl174, plain, 193.08/28.63 (![X0 : $i > $o, X1 : $i]: 193.08/28.63 (((((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X1 @ Y0))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 193.08/28.63 (((~) @ (((~) @ (X0 @ Y1))))))))))))))))) | 193.08/28.63 (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X1 @ Y0))) | 193.08/28.63 (((~) @ (((~) @ (X0 @ Y0))))))))))))), 193.08/28.63 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl171])). 193.08/28.63 thf(zip_derived_cl268, plain, 193.08/28.63 (![X0 : $i > $o, X1 : $i]: 193.08/28.63 (((((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X1 @ Y0))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 193.08/28.63 (X0 @ Y1))))))))))))) | 193.08/28.63 (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk1' @ X1 @ Y0))) | (X0 @ Y0))))))))), 193.08/28.63 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl174])). 193.08/28.63 thf(zip_derived_cl269, plain, 193.08/28.63 (![X0 : $i > $o, X1 : $i]: 193.08/28.63 ( (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ X1 @ Y0))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 193.08/28.63 (X0 @ Y1))))))))))))) 193.08/28.63 | (((!!) @ (^[Y0 : $i]: (((((~) @ ('#sk1' @ X1 @ Y0))) | (X0 @ Y0)))))))), 193.08/28.63 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl268])). 193.08/28.63 thf(zip_derived_cl6, plain, 193.08/28.63 (( ('#form3') 193.08/28.63 | ~ (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((!!) @ (^[Y1 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y3 : $i]: 193.08/28.63 (( 193.08/28.63 (( 193.08/28.63 (~) @ ( 193.08/28.63 '#sk1' @ 193.08/28.63 Y2 @ Y3))) | 193.08/28.63 (Y1 @ Y3))))))))))))) | 193.08/28.63 (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y2))) | 193.08/28.63 (Y1 @ Y2)))))))))))))))), 193.08/28.63 define([status(thm)])). 193.08/28.63 thf(zip_derived_cl7, plain, 193.08/28.63 ((~ (((!!) @ (^[Y0 : $i > $o]: 193.08/28.63 (((((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk4' @ Y1))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y2 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ 193.08/28.63 Y1 @ Y2))) | 193.08/28.63 (Y0 @ Y2))))))))))))) | 193.08/28.63 (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk4' @ Y1))) | (Y0 @ 193.08/28.63 Y1))))))))))) 193.08/28.63 | ('#form3'))), 193.08/28.63 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 193.08/28.63 thf(zip_derived_cl9, plain, 193.08/28.63 ((~ (((((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk4' @ Y0))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 193.08/28.63 ('#sk5' @ Y1))))))))))))) | 193.08/28.63 (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk4' @ Y0))) | ('#sk5' @ Y0)))))))) 193.08/28.63 | ('#form3'))), 193.08/28.63 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 193.08/28.63 thf(zip_derived_cl19, plain, 193.08/28.63 ((~ (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk4' @ Y0))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 193.08/28.63 ('#sk5' @ Y1))))))))))))) 193.08/28.63 | ('#form3'))), 193.08/28.63 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl9])). 193.08/28.63 thf(zip_derived_cl123, plain, (~ ('#form3')), 193.08/28.63 inference('simplify', [status(thm)], [zip_derived_cl121])). 193.08/28.63 thf(zip_derived_cl136, plain, 193.08/28.63 (~ (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk4' @ Y0))) | 193.08/28.63 (((~) @ (((!!) @ (^[Y1 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ Y0 @ Y1))) | 193.08/28.63 ('#sk5' @ Y1)))))))))))))), 193.08/28.63 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl123])). 193.08/28.63 thf(zip_derived_cl412, plain, 193.08/28.63 ( (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk4' @ Y0))) | 193.08/28.63 ((^[Y1 : $i]: ('#sk5' @ Y1)) @ Y0))))))), 193.08/28.63 inference('sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl136])). 193.08/28.63 thf(zip_derived_cl421, plain, 193.08/28.63 ( (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk4' @ Y0))) | ('#sk5' @ Y0))))))), 193.08/28.63 inference('ho_norm', [status(thm)], [zip_derived_cl412])). 193.08/28.63 thf(zip_derived_cl20, plain, 193.08/28.63 ((~ (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk4' @ Y0))) | ('#sk5' @ Y0)))))) 193.08/28.63 | ('#form3'))), 193.08/28.63 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl9])). 193.08/28.63 thf(zip_derived_cl123, plain, (~ ('#form3')), 193.08/28.63 inference('simplify', [status(thm)], [zip_derived_cl121])). 193.08/28.63 thf(zip_derived_cl137, plain, 193.08/28.63 (~ (((!!) @ (^[Y0 : $i]: 193.08/28.63 (((((~) @ ('#sk1' @ '#sk4' @ Y0))) | ('#sk5' @ Y0))))))), 193.08/28.63 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl123])). 193.08/28.63 thf(zip_derived_cl528, plain, ($false), 193.08/28.63 inference('sup-', [status(thm)], [zip_derived_cl421, zip_derived_cl137])). 193.08/28.63 193.08/28.63 % SZS output end Refutation 193.08/28.63 193.08/28.63 193.08/28.63 % Terminating... 193.63/28.72 % Runner terminated. 193.63/28.74 % Zipperpin 1.5 exiting 193.63/28.75 EOF