%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL859^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3QT79j4zd0 true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:37:28 PM UTC 2026
% Result : Theorem 0.52s 0.95s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL859^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3QT79j4zd0 true
% 0.10/0.38 % Computer : n013.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 5 09:02:20 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Running portfolio for 300 s
% 0.10/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Number of cores: 8
% 0.10/0.39 % Python version: Python 3.12.3
% 0.10/0.39 % Running in HO mode
% 0.45/0.67 % Total configuration time : 828
% 0.45/0.67 % Estimated wc time : 1656
% 0.45/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.80 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.80 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.86 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.87 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.52/0.95 % Solved by lams/35_full_unif4.sh.
% 0.52/0.95 % done 43 iterations in 0.098s
% 0.52/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.95 % SZS output start Refutation
% 0.52/0.95 thf('#sk1_type', type, '#sk1': $i > $i > $o).
% 0.52/0.95 thf(meuclidean_type, type, meuclidean: ($i > $i > $o) > $o).
% 0.52/0.95 thf(mreflexive_type, type, mreflexive: ($i > $i > $o) > $o).
% 0.52/0.95 thf('#sk3_type', type, '#sk3': $i).
% 0.52/0.95 thf('#sk2_type', type, '#sk2': $i).
% 0.52/0.95 thf('#sk8_type', type, '#sk8': $i).
% 0.52/0.95 thf(msymmetric_type, type, msymmetric: ($i > $i > $o) > $o).
% 0.52/0.95 thf('#sk6_type', type, '#sk6': $i).
% 0.52/0.95 thf('#sk7_type', type, '#sk7': $i).
% 0.52/0.95 thf('#sk4_type', type, '#sk4': $i).
% 0.52/0.95 thf(meuclidean, axiom,(( meuclidean ) =
% 0.52/0.95 (^[R:( $i > $i > $o )]:
% 0.52/0.95 ( ![S:$i,T:$i,U:$i]:
% 0.52/0.95 ( ( ( R @ S @ T ) & ( R @ S @ U ) ) => ( R @ T @ U ) ) )))).
% 0.52/0.95 thf('0', plain,
% 0.52/0.95 (( meuclidean ) =
% 0.52/0.95 ( ^[R:( $i > $i > $o )]:
% 0.52/0.95 ( ![S:$i,T:$i,U:$i]:
% 0.52/0.95 ( ( ( R @ S @ T ) & ( R @ S @ U ) ) => ( R @ T @ U ) ) ) )),
% 0.52/0.95 inference('simplify_rw_rule', [status(thm)], [meuclidean])).
% 0.52/0.95 thf('1', plain,
% 0.52/0.95 (( meuclidean ) =
% 0.52/0.95 ( ^[V_1:( $i > $i > $o )]:
% 0.52/0.95 ( ![X4:$i,X6:$i,X8:$i]:
% 0.52/0.95 ( ( ( V_1 @ X4 @ X6 ) & ( V_1 @ X4 @ X8 ) ) => ( V_1 @ X6 @ X8 ) ) ) )),
% 0.52/0.95 define([status(thm)])).
% 0.52/0.95 thf(msymmetric, axiom,(( msymmetric ) =
% 0.52/0.95 (^[R:( $i > $i > $o )]:
% 0.52/0.95 ( ![S:$i,T:$i]: ( ( R @ S @ T ) => ( R @ T @ S ) ) )))).
% 0.52/0.95 thf('2', plain,
% 0.52/0.95 (( msymmetric ) =
% 0.52/0.95 ( ^[R:( $i > $i > $o )]:
% 0.52/0.95 ( ![S:$i,T:$i]: ( ( R @ S @ T ) => ( R @ T @ S ) ) ) )),
% 0.52/0.95 inference('simplify_rw_rule', [status(thm)], [msymmetric])).
% 0.52/0.95 thf('3', plain,
% 0.52/0.95 (( msymmetric ) =
% 0.52/0.95 ( ^[V_1:( $i > $i > $o )]:
% 0.52/0.95 ( ![X4:$i,X6:$i]: ( ( V_1 @ X4 @ X6 ) => ( V_1 @ X6 @ X4 ) ) ) )),
% 0.52/0.95 define([status(thm)])).
% 0.52/0.95 thf(mreflexive, axiom,(( mreflexive ) =
% 0.52/0.95 (^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) )))).
% 0.52/0.95 thf('4', plain,
% 0.52/0.95 (( mreflexive ) = ( ^[R:( $i > $i > $o )]: ( ![S:$i]: ( R @ S @ S ) ) )),
% 0.52/0.95 inference('simplify_rw_rule', [status(thm)], [mreflexive])).
% 0.52/0.95 thf('5', plain,
% 0.52/0.95 (( mreflexive ) =
% 0.52/0.95 ( ^[V_1:( $i > $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 @ X4 ) ) )),
% 0.52/0.95 define([status(thm)])).
% 0.52/0.95 thf(conj, conjecture,
% 0.52/0.95 (![R:( $i > $i > $o )]:
% 0.52/0.95 ( ( ( mreflexive @ R ) & ( meuclidean @ R ) ) <=>
% 0.52/0.95 ( ( mreflexive @ R ) & ( msymmetric @ R ) & ( meuclidean @ R ) ) ))).
% 0.52/0.95 thf(zf_stmt_0, conjecture,
% 0.52/0.95 (![X4:( $i > $i > $o )]:
% 0.52/0.95 ( ( ( ![X8:$i,X10:$i,X12:$i]:
% 0.52/0.95 ( ( ( X4 @ X8 @ X12 ) & ( X4 @ X8 @ X10 ) ) => ( X4 @ X10 @ X12 ) ) ) &
% 0.52/0.95 ( ![X6:$i]: ( X4 @ X6 @ X6 ) ) ) <=>
% 0.52/0.95 ( ( ![X20:$i,X22:$i,X24:$i]:
% 0.52/0.95 ( ( ( X4 @ X20 @ X24 ) & ( X4 @ X20 @ X22 ) ) => ( X4 @ X22 @ X24 ) ) ) &
% 0.52/0.95 ( ![X16:$i,X18:$i]: ( ( X4 @ X16 @ X18 ) => ( X4 @ X18 @ X16 ) ) ) &
% 0.52/0.95 ( ![X14:$i]: ( X4 @ X14 @ X14 ) ) ) ))).
% 0.52/0.95 thf(zf_stmt_1, negated_conjecture,
% 0.52/0.95 (~( ![X4:( $i > $i > $o )]:
% 0.52/0.95 ( ( ( ![X8:$i,X10:$i,X12:$i]:
% 0.52/0.95 ( ( ( X4 @ X8 @ X12 ) & ( X4 @ X8 @ X10 ) ) => ( X4 @ X10 @ X12 ) ) ) &
% 0.52/0.95 ( ![X6:$i]: ( X4 @ X6 @ X6 ) ) ) <=>
% 0.52/0.95 ( ( ![X20:$i,X22:$i,X24:$i]:
% 0.52/0.95 ( ( ( X4 @ X20 @ X24 ) & ( X4 @ X20 @ X22 ) ) =>
% 0.52/0.95 ( X4 @ X22 @ X24 ) ) ) &
% 0.52/0.95 ( ![X16:$i,X18:$i]: ( ( X4 @ X16 @ X18 ) => ( X4 @ X18 @ X16 ) ) ) &
% 0.52/0.95 ( ![X14:$i]: ( X4 @ X14 @ X14 ) ) ) ) )),
% 0.52/0.95 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 0.52/0.95 thf(zip_derived_cl0, plain,
% 0.52/0.95 (~ (((!!) @ (^[Y0 : $i > $i > $o]:
% 0.52/0.95 (((((((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 (((!!) @ (^[Y3 : $i]:
% 0.52/0.95 (((((Y0 @ Y1 @
% 0.52/0.95 Y3) & (Y0 @
% 0.52/0.95 Y1 @ Y2))) =>
% 0.52/0.95 (Y0 @ Y2 @ Y3)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))) <=>
% 0.52/0.95 (((((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 (((!!) @ (^[Y3 : $i]:
% 0.52/0.95 (((((Y0 @ Y1 @
% 0.52/0.95 Y3) & (Y0 @
% 0.52/0.95 Y1 @ Y2))) =>
% 0.52/0.95 (Y0 @ Y2 @ Y3)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 (((Y0 @ Y1 @ Y2) => (Y0 @
% 0.52/0.95 Y2 @ Y1))))))))) &
% 0.52/0.95 (((!!) @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))))))))),
% 0.52/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.52/0.95 thf(zip_derived_cl1, plain,
% 0.52/0.95 (~ (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)))))) <=>
% 0.52/0.95 (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))))))),
% 0.52/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 0.52/0.95 thf(zip_derived_cl2, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @
% 0.52/0.95 Y0))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)))))))),
% 0.52/0.95 inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])).
% 0.52/0.95 thf(zip_derived_cl4, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @
% 0.52/0.95 Y0))))))))) &
% 0.52/0.95 ((^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)) @ '#sk2'))))),
% 0.52/0.95 inference('quantifier_rw', [status(thm)], [zip_derived_cl2])).
% 0.52/0.95 thf(zip_derived_cl5, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @
% 0.52/0.95 Y0))))))))) &
% 0.52/0.95 ('#sk1' @ '#sk2' @ '#sk2'))))),
% 0.52/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl4])).
% 0.52/0.95 thf(zip_derived_cl2, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @
% 0.52/0.95 Y0))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)))))))),
% 0.52/0.95 inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])).
% 0.52/0.95 thf(zip_derived_cl3, plain,
% 0.52/0.95 (![X-81 : $i]:
% 0.52/0.95 ( ((^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)) @ X-81)
% 0.52/0.95 | ((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ($false)))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @
% 0.52/0.95 Y1 @ Y0))))))))) &
% 0.52/0.95 ($false)))))),
% 0.52/0.95 inference('forall_hoist', [status(thm)], [zip_derived_cl2])).
% 0.52/0.95 thf(zip_derived_cl6, plain,
% 0.52/0.95 (![X-81 : $i]:
% 0.52/0.95 ( ('#sk1' @ X-81 @ X-81)
% 0.52/0.95 | ((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ($false)))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @
% 0.52/0.95 Y1 @ Y0))))))))) &
% 0.52/0.95 ($false)))))),
% 0.52/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl3])).
% 0.52/0.95 thf(zip_derived_cl7, plain, (![X-81 : $i]: ('#sk1' @ X-81 @ X-81)),
% 0.52/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl6])).
% 0.52/0.95 thf(zip_derived_cl8, plain, (![X0 : $i]: ('#sk1' @ X0 @ X0)),
% 0.52/0.95 inference('cannonize vars', [status(thm)], [zip_derived_cl7])).
% 0.52/0.95 thf(zip_derived_cl13, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @
% 0.52/0.95 Y0))))))))) &
% 0.52/0.95 ($true))))),
% 0.52/0.95 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl8])).
% 0.52/0.95 thf(zip_derived_cl14, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @
% 0.52/0.95 Y0))))))))))))),
% 0.52/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl13])).
% 0.52/0.95 thf(zip_derived_cl17, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ((^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))) @
% 0.52/0.95 '#sk3'))))),
% 0.52/0.95 inference('quantifier_rw', [status(thm)], [zip_derived_cl14])).
% 0.52/0.95 thf(zip_derived_cl18, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 ((('#sk1' @ '#sk3' @ Y0) => ('#sk1' @ Y0 @ '#sk3')))))))))),
% 0.52/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl17])).
% 0.52/0.95 thf(zip_derived_cl20, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ((^[Y0 : $i]:
% 0.52/0.95 ((('#sk1' @ '#sk3' @ Y0) => ('#sk1' @ Y0 @ '#sk3')))) @
% 0.52/0.95 '#sk4'))))),
% 0.52/0.95 inference('quantifier_rw', [status(thm)], [zip_derived_cl18])).
% 0.52/0.95 thf(zip_derived_cl25, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 (((!!) @ (^[Y0 : $i]: ('#sk1' @ Y0 @ Y0))))))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))))),
% 0.52/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl20])).
% 0.52/0.95 thf(zip_derived_cl27, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ((^[Y0 : $i]: ('#sk1' @ Y0 @ Y0)) @ '#sk2')))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))))),
% 0.52/0.95 inference('quantifier_rw', [status(thm)], [zip_derived_cl25])).
% 0.52/0.95 thf(zip_derived_cl36, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ('#sk1' @ '#sk2' @ '#sk2')))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))))),
% 0.52/0.95 inference('ho_norm', [status(thm)], [zip_derived_cl27])).
% 0.52/0.95 thf(zip_derived_cl8, plain, (![X0 : $i]: ('#sk1' @ X0 @ X0)),
% 0.52/0.95 inference('cannonize vars', [status(thm)], [zip_derived_cl7])).
% 0.52/0.95 thf(zip_derived_cl37, plain,
% 0.52/0.95 (((((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ($true)))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))))),
% 0.52/0.95 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl8])).
% 0.52/0.95 thf(zip_derived_cl38, plain,
% 0.52/0.95 (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) & ('#sk1' @
% 0.52/0.95 Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2))))))))))))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))))),
% 0.52/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl37])).
% 0.52/0.95 thf(zip_derived_cl53, plain,
% 0.52/0.95 ((~ (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2))))))))))))
% 0.52/0.95 | ~ (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))))),
% 0.52/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl38])).
% 0.52/0.95 thf(zip_derived_cl58, plain,
% 0.52/0.95 ((~ (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2))))))))))))
% 0.52/0.95 | ~ ((($true) &
% 0.52/0.95 ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))))),
% 0.52/0.95 inference('local_rewriting', [status(thm)], [zip_derived_cl53])).
% 0.52/0.95 thf(zip_derived_cl59, plain,
% 0.52/0.95 ((~ (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2))))))))))))
% 0.52/0.95 | ~ ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))),
% 0.52/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl58])).
% 0.52/0.95 thf(zip_derived_cl78, plain,
% 0.52/0.95 ((~ (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 ((((('#sk1' @ '#sk6' @ Y1) & ('#sk1' @
% 0.52/0.95 '#sk6' @ Y0))) =>
% 0.52/0.95 ('#sk1' @ Y0 @ Y1)))))))))
% 0.52/0.95 | ~ ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))),
% 0.52/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl59])).
% 0.52/0.95 thf(zip_derived_cl79, plain,
% 0.52/0.95 ((~ (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 ((((('#sk1' @ '#sk6' @ Y0) & ('#sk1' @ '#sk6' @ '#sk7'))) =>
% 0.52/0.95 ('#sk1' @ '#sk7' @ Y0))))))
% 0.52/0.95 | ~ ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))),
% 0.52/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl78])).
% 0.52/0.95 thf(zip_derived_cl80, plain,
% 0.52/0.95 ((~ ((((('#sk1' @ '#sk6' @ '#sk8') & ('#sk1' @ '#sk6' @ '#sk7'))) =>
% 0.52/0.95 ('#sk1' @ '#sk7' @ '#sk8')))
% 0.52/0.95 | ~ ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))),
% 0.52/0.95 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl79])).
% 0.52/0.95 thf(zip_derived_cl82, plain,
% 0.52/0.95 ((~ ('#sk1' @ '#sk7' @ '#sk8')
% 0.52/0.95 | ~ ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))),
% 0.52/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl80])).
% 0.52/0.95 thf(zip_derived_cl86, plain,
% 0.52/0.95 ((~ ('#sk1' @ '#sk4' @ '#sk3') | ~ ('#sk1' @ '#sk7' @ '#sk8'))),
% 0.52/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 0.52/0.95 thf(zip_derived_cl81, plain,
% 0.52/0.95 (( ((('#sk1' @ '#sk6' @ '#sk8') & ('#sk1' @ '#sk6' @ '#sk7')))
% 0.52/0.95 | ~ ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))),
% 0.52/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl80])).
% 0.52/0.95 thf(zip_derived_cl84, plain,
% 0.52/0.95 (( ('#sk1' @ '#sk6' @ '#sk7')
% 0.52/0.95 | ~ ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))),
% 0.52/0.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl81])).
% 0.52/0.95 thf(zip_derived_cl89, plain,
% 0.52/0.95 (( ('#sk1' @ '#sk3' @ '#sk4') | ('#sk1' @ '#sk6' @ '#sk7'))),
% 0.52/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl84])).
% 0.52/0.95 thf(zip_derived_cl8, plain, (![X0 : $i]: ('#sk1' @ X0 @ X0)),
% 0.52/0.95 inference('cannonize vars', [status(thm)], [zip_derived_cl7])).
% 0.52/0.95 thf(zip_derived_cl38, plain,
% 0.52/0.95 (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) & ('#sk1' @
% 0.52/0.95 Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2))))))))))))
% 0.52/0.95 != (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))))),
% 0.52/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl37])).
% 0.52/0.95 thf(zip_derived_cl52, plain,
% 0.52/0.95 (( (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2))))))))))))
% 0.52/0.95 | (((((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2)))))))))))) &
% 0.52/0.95 ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))))),
% 0.52/0.95 inference('eq_elim', [status(thm)], [zip_derived_cl38])).
% 0.52/0.95 thf(zip_derived_cl56, plain,
% 0.52/0.95 (( (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) &
% 0.52/0.95 ('#sk1' @ Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2))))))))))))
% 0.52/0.95 | ((($false) &
% 0.52/0.95 ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))))),
% 0.52/0.95 inference('local_rewriting', [status(thm)], [zip_derived_cl52])).
% 0.52/0.95 thf(zip_derived_cl57, plain,
% 0.52/0.95 ( (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 (((!!) @ (^[Y2 : $i]:
% 0.52/0.95 ((((('#sk1' @ Y0 @ Y2) & ('#sk1' @
% 0.52/0.95 Y0 @ Y1))) =>
% 0.52/0.95 ('#sk1' @ Y1 @ Y2))))))))))))),
% 0.52/0.95 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl56])).
% 0.52/0.95 thf(zip_derived_cl66, plain,
% 0.52/0.95 (![X2 : $i]:
% 0.52/0.95 (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 (((!!) @ (^[Y1 : $i]:
% 0.52/0.95 ((((('#sk1' @ X2 @ Y1) & ('#sk1' @ X2 @ Y0))) =>
% 0.52/0.95 ('#sk1' @ Y0 @ Y1)))))))))),
% 0.52/0.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])).
% 0.52/0.95 thf(zip_derived_cl67, plain,
% 0.52/0.95 (![X2 : $i, X4 : $i]:
% 0.52/0.95 (((!!) @ (^[Y0 : $i]:
% 0.52/0.95 ((((('#sk1' @ X2 @ Y0) & ('#sk1' @ X2 @ X4))) =>
% 0.52/0.95 ('#sk1' @ X4 @ Y0))))))),
% 0.52/0.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl66])).
% 0.52/0.95 thf(zip_derived_cl68, plain,
% 0.52/0.95 (![X2 : $i, X4 : $i, X6 : $i]:
% 0.52/0.95 ((((('#sk1' @ X2 @ X6) & ('#sk1' @ X2 @ X4))) => ('#sk1' @ X4 @ X6)))),
% 0.52/0.95 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl67])).
% 0.52/0.95 thf(zip_derived_cl69, plain,
% 0.52/0.95 (![X2 : $i, X4 : $i, X6 : $i]:
% 0.52/0.95 (~ ((('#sk1' @ X2 @ X6) & ('#sk1' @ X2 @ X4))) | ('#sk1' @ X4 @ X6))),
% 0.52/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl68])).
% 0.52/0.95 thf(zip_derived_cl70, plain,
% 0.52/0.95 (![X2 : $i, X4 : $i, X6 : $i]:
% 0.52/0.95 (~ ('#sk1' @ X2 @ X6) | ~ ('#sk1' @ X2 @ X4) | ('#sk1' @ X4 @ X6))),
% 0.52/0.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl69])).
% 0.52/0.95 thf(zip_derived_cl71, plain,
% 0.52/0.95 (![X0 : $i, X1 : $i]: ( ('#sk1' @ X1 @ X0) | ~ ('#sk1' @ X0 @ X1))),
% 0.52/0.95 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl70])).
% 0.52/0.95 thf(zip_derived_cl111, plain,
% 0.52/0.95 (( ('#sk1' @ '#sk6' @ '#sk7') | ('#sk1' @ '#sk4' @ '#sk3'))),
% 0.52/0.95 inference('sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl71])).
% 0.52/0.95 thf(zip_derived_cl90, plain,
% 0.52/0.95 ((~ ('#sk1' @ '#sk4' @ '#sk3') | ('#sk1' @ '#sk6' @ '#sk7'))),
% 0.52/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl84])).
% 0.52/0.95 thf(zip_derived_cl149, plain, ( ('#sk1' @ '#sk6' @ '#sk7')),
% 0.52/0.95 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl90])).
% 0.52/0.95 thf(zip_derived_cl83, plain,
% 0.52/0.95 (( ('#sk1' @ '#sk6' @ '#sk8')
% 0.52/0.95 | ~ ((('#sk1' @ '#sk3' @ '#sk4') => ('#sk1' @ '#sk4' @ '#sk3'))))),
% 0.52/0.95 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl81])).
% 0.52/0.95 thf(zip_derived_cl87, plain,
% 0.52/0.95 (( ('#sk1' @ '#sk3' @ '#sk4') | ('#sk1' @ '#sk6' @ '#sk8'))),
% 0.52/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])).
% 0.52/0.95 thf(zip_derived_cl71, plain,
% 0.52/0.95 (![X0 : $i, X1 : $i]: ( ('#sk1' @ X1 @ X0) | ~ ('#sk1' @ X0 @ X1))),
% 0.52/0.95 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl70])).
% 0.52/0.95 thf(zip_derived_cl103, plain,
% 0.52/0.95 (( ('#sk1' @ '#sk6' @ '#sk8') | ('#sk1' @ '#sk4' @ '#sk3'))),
% 0.52/0.95 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl71])).
% 0.52/0.95 thf(zip_derived_cl88, plain,
% 0.52/0.95 ((~ ('#sk1' @ '#sk4' @ '#sk3') | ('#sk1' @ '#sk6' @ '#sk8'))),
% 0.52/0.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])).
% 0.52/0.95 thf(zip_derived_cl125, plain, ( ('#sk1' @ '#sk6' @ '#sk8')),
% 0.52/0.95 inference('clc', [status(thm)], [zip_derived_cl103, zip_derived_cl88])).
% 0.52/0.96 thf(zip_derived_cl70, plain,
% 0.52/0.96 (![X2 : $i, X4 : $i, X6 : $i]:
% 0.52/0.96 (~ ('#sk1' @ X2 @ X6) | ~ ('#sk1' @ X2 @ X4) | ('#sk1' @ X4 @ X6))),
% 0.52/0.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl69])).
% 0.52/0.96 thf(zip_derived_cl127, plain,
% 0.52/0.96 (![X0 : $i]: ( ('#sk1' @ X0 @ '#sk8') | ~ ('#sk1' @ '#sk6' @ X0))),
% 0.52/0.96 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl70])).
% 0.52/0.96 thf(zip_derived_cl150, plain, ( ('#sk1' @ '#sk7' @ '#sk8')),
% 0.52/0.96 inference('sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl127])).
% 0.52/0.96 thf(zip_derived_cl157, plain, (~ ('#sk1' @ '#sk4' @ '#sk3')),
% 0.52/0.96 inference('demod', [status(thm)], [zip_derived_cl86, zip_derived_cl150])).
% 0.52/0.96 thf(zip_derived_cl85, plain,
% 0.52/0.96 (( ('#sk1' @ '#sk3' @ '#sk4') | ~ ('#sk1' @ '#sk7' @ '#sk8'))),
% 0.52/0.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 0.52/0.96 thf(zip_derived_cl150, plain, ( ('#sk1' @ '#sk7' @ '#sk8')),
% 0.52/0.96 inference('sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl127])).
% 0.52/0.96 thf(zip_derived_cl156, plain, ( ('#sk1' @ '#sk3' @ '#sk4')),
% 0.52/0.96 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl150])).
% 0.52/0.96 thf(zip_derived_cl71, plain,
% 0.52/0.96 (![X0 : $i, X1 : $i]: ( ('#sk1' @ X1 @ X0) | ~ ('#sk1' @ X0 @ X1))),
% 0.52/0.96 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl70])).
% 0.52/0.96 thf(zip_derived_cl164, plain, ( ('#sk1' @ '#sk4' @ '#sk3')),
% 0.52/0.96 inference('sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl71])).
% 0.52/0.96 thf(zip_derived_cl183, plain, ($false),
% 0.52/0.96 inference('demod', [status(thm)], [zip_derived_cl157, zip_derived_cl164])).
% 0.52/0.96
% 0.52/0.96 % SZS output end Refutation
% 0.52/0.96
% 0.52/0.96
% 0.52/0.96 % Terminating...
% 0.52/1.00 % Runner terminated.
% 0.52/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------