%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU492^1 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cFbAp39s4x true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:54:47 PM UTC 2025
% Result : Theorem 0.61s 0.91s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU492^1 : TPTP v9.2.0. Released v3.6.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cFbAp39s4x true
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:06:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.56/0.64 % Total configuration time : 828
% 0.56/0.64 % Estimated wc time : 1656
% 0.56/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.91 % Solved by lams/35_full_unif4.sh.
% 0.61/0.91 % done 27 iterations in 0.065s
% 0.61/0.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/0.91 % SZS output start Refutation
% 0.61/0.91 thf('#sk1_type', type, '#sk1': $i > $i > $o).
% 0.61/0.91 thf(so_type, type, so: ($i > $i > $o) > $o).
% 0.61/0.91 thf('#sk3_type', type, '#sk3': $i).
% 0.61/0.91 thf('#sk4_type', type, '#sk4': $i).
% 0.61/0.91 thf(trans_type, type, trans: ($i > $i > $o) > $o).
% 0.61/0.91 thf(irrefl_type, type, irrefl: ($i > $i > $o) > $o).
% 0.61/0.91 thf(asymm_type, type, asymm: ($i > $i > $o) > $o).
% 0.61/0.91 thf('#sk2_type', type, '#sk2': $i).
% 0.61/0.91 thf(strict_order, axiom,(( so ) =
% 0.61/0.91 (^[R:( $i > $i > $o )]: ( ( asymm @ R ) & ( trans @ R ) )))).
% 0.61/0.91 thf(transitive, axiom,(( trans ) =
% 0.61/0.91 (^[R:( $i > $i > $o )]:
% 0.61/0.91 ( ![X:$i,Y:$i,Z:$i]:
% 0.61/0.91 ( ( ( R @ X @ Y ) & ( R @ Y @ Z ) ) => ( R @ X @ Z ) ) )))).
% 0.61/0.91 thf('0', plain,
% 0.61/0.91 (( trans ) =
% 0.61/0.91 ( ^[R:( $i > $i > $o )]:
% 0.61/0.91 ( ![X:$i,Y:$i,Z:$i]:
% 0.61/0.91 ( ( ( R @ X @ Y ) & ( R @ Y @ Z ) ) => ( R @ X @ Z ) ) ) )),
% 0.61/0.91 inference('simplify_rw_rule', [status(thm)], [transitive])).
% 0.61/0.91 thf('1', plain,
% 0.61/0.91 (( trans ) =
% 0.61/0.91 ( ^[V_1:( $i > $i > $o )]:
% 0.61/0.91 ( ![X4:$i,X6:$i,X8:$i]:
% 0.61/0.91 ( ( ( V_1 @ X4 @ X6 ) & ( V_1 @ X6 @ X8 ) ) => ( V_1 @ X4 @ X8 ) ) ) )),
% 0.61/0.91 define([status(thm)])).
% 0.61/0.91 thf(asymmetric, axiom,(( asymm ) =
% 0.61/0.91 (^[R:( $i > $i > $o )]:
% 0.61/0.91 ( ![X:$i,Y:$i]: ( ( R @ X @ Y ) => ( ~( R @ Y @ X ) ) ) )))).
% 0.61/0.91 thf('2', plain,
% 0.61/0.91 (( asymm ) =
% 0.61/0.91 ( ^[R:( $i > $i > $o )]:
% 0.61/0.91 ( ![X:$i,Y:$i]: ( ( R @ X @ Y ) => ( ~( R @ Y @ X ) ) ) ) )),
% 0.61/0.91 inference('simplify_rw_rule', [status(thm)], [asymmetric])).
% 0.61/0.91 thf('3', plain,
% 0.61/0.91 (( asymm ) =
% 0.61/0.91 ( ^[V_1:( $i > $i > $o )]:
% 0.61/0.91 ( ![X4:$i,X6:$i]: ( ( V_1 @ X4 @ X6 ) => ( ~( V_1 @ X6 @ X4 ) ) ) ) )),
% 0.61/0.91 define([status(thm)])).
% 0.61/0.91 thf('4', plain,
% 0.61/0.91 (( so ) = ( ^[R:( $i > $i > $o )]: ( ( asymm @ R ) & ( trans @ R ) ) )),
% 0.61/0.91 inference('simplify_rw_rule', [status(thm)], [strict_order, '1', '3'])).
% 0.61/0.91 thf('5', plain,
% 0.61/0.91 (( so ) =
% 0.61/0.91 ( ^[V_1:( $i > $i > $o )]: ( ( asymm @ V_1 ) & ( trans @ V_1 ) ) )),
% 0.61/0.91 define([status(thm)])).
% 0.61/0.91 thf(irreflexive, axiom,(( irrefl ) =
% 0.61/0.91 (^[R:( $i > $i > $o )]: ( ![X:$i]: ( ~( R @ X @ X ) ) )))).
% 0.61/0.91 thf('6', plain,
% 0.61/0.91 (( irrefl ) = ( ^[R:( $i > $i > $o )]: ( ![X:$i]: ( ~( R @ X @ X ) ) ) )),
% 0.61/0.91 inference('simplify_rw_rule', [status(thm)], [irreflexive])).
% 0.61/0.91 thf('7', plain,
% 0.61/0.91 (( irrefl ) =
% 0.61/0.91 ( ^[V_1:( $i > $i > $o )]: ( ![X4:$i]: ( ~( V_1 @ X4 @ X4 ) ) ) )),
% 0.61/0.91 define([status(thm)])).
% 0.61/0.91 thf(alternative_definition_of_strict_order, conjecture,
% 0.61/0.91 (( so ) = ( ^[R:( $i > $i > $o )]: ( ( irrefl @ R ) & ( trans @ R ) ) ))).
% 0.61/0.91 thf(zf_stmt_0, conjecture,
% 0.61/0.91 (( ^[V_1:( $i > $i > $o )]:
% 0.61/0.91 ( ( ![X8:$i,X10:$i,X12:$i]:
% 0.61/0.91 ( ( ( V_1 @ X10 @ X12 ) & ( V_1 @ X8 @ X10 ) ) => ( V_1 @ X8 @ X12 ) ) ) &
% 0.61/0.91 ( ![X4:$i,X6:$i]: ( ( V_1 @ X4 @ X6 ) => ( ~( V_1 @ X6 @ X4 ) ) ) ) ) ) =
% 0.61/0.91 ( ^[V_2:( $i > $i > $o )]:
% 0.61/0.91 ( ( ![X16:$i,X18:$i,X20:$i]:
% 0.61/0.91 ( ( ( V_2 @ X18 @ X20 ) & ( V_2 @ X16 @ X18 ) ) =>
% 0.61/0.91 ( V_2 @ X16 @ X20 ) ) ) &
% 0.61/0.91 ( ![X14:$i]: ( ~( V_2 @ X14 @ X14 ) ) ) ) ))).
% 0.61/0.91 thf(zf_stmt_1, negated_conjecture,
% 0.61/0.91 (( ^[V_1:( $i > $i > $o )]:
% 0.61/0.91 ( ( ![X8:$i,X10:$i,X12:$i]:
% 0.61/0.91 ( ( ( V_1 @ X10 @ X12 ) & ( V_1 @ X8 @ X10 ) ) => ( V_1 @ X8 @ X12 ) ) ) &
% 0.61/0.91 ( ![X4:$i,X6:$i]: ( ( V_1 @ X4 @ X6 ) => ( ~( V_1 @ X6 @ X4 ) ) ) ) ) ) !=
% 0.61/0.91 ( ^[V_2:( $i > $i > $o )]:
% 0.61/0.91 ( ( ![X16:$i,X18:$i,X20:$i]:
% 0.61/0.91 ( ( ( V_2 @ X18 @ X20 ) & ( V_2 @ X16 @ X18 ) ) =>
% 0.61/0.91 ( V_2 @ X16 @ X20 ) ) ) &
% 0.61/0.91 ( ![X14:$i]: ( ~( V_2 @ X14 @ X14 ) ) ) ) )),
% 0.61/0.91 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 0.61/0.91 thf(zip_derived_cl0, plain,
% 0.61/0.91 ((((^[Y0 : $i > $i > $o]:
% 0.61/0.91 (((((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 (((!!) @ (^[Y3 : $i]:
% 0.61/0.91 (((((Y0 @ Y2 @ Y3) & (Y0 @
% 0.61/0.91 Y1 @ Y2))) =>
% 0.61/0.91 (Y0 @ Y1 @ Y3)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 (((Y0 @ Y1 @ Y2) =>
% 0.61/0.91 (((~) @ (Y0 @ Y2 @ Y1)))))))))))))))
% 0.61/0.91 != ((^[Y0 : $i > $i > $o]:
% 0.61/0.91 (((((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 (((!!) @ (^[Y3 : $i]:
% 0.61/0.91 (((((Y0 @ Y2 @ Y3) &
% 0.61/0.91 (Y0 @ Y1 @ Y2))) =>
% 0.61/0.91 (Y0 @ Y1 @ Y3)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y1 : $i]: (((~) @ (Y0 @ Y1 @ Y1)))))))))))),
% 0.61/0.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.61/0.91 thf(zip_derived_cl1, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 ((('#sk1' @ Y0 @ Y1) =>
% 0.61/0.91 (((~) @ ('#sk1' @ Y1 @ Y0)))))))))))))
% 0.61/0.91 != (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0)))))))))),
% 0.61/0.91 inference('neg_ext', [status(thm)], [zip_derived_cl0])).
% 0.61/0.91 thf(zip_derived_cl3, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 ((('#sk1' @ Y0 @ Y1) => (((~) @ ('#sk1' @ Y1 @ Y0))))))))) @
% 0.61/0.91 '#sk2')))
% 0.61/0.91 != (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0)))))))))),
% 0.61/0.91 inference('quantifier_rw', [status(thm)], [zip_derived_cl1])).
% 0.61/0.91 thf(zip_derived_cl4, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 ((('#sk1' @ '#sk2' @ Y0) =>
% 0.61/0.91 (((~) @ ('#sk1' @ Y0 @ '#sk2'))))))))))
% 0.61/0.91 != (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0)))))))))),
% 0.61/0.91 inference('ho_norm', [status(thm)], [zip_derived_cl3])).
% 0.61/0.91 thf(zip_derived_cl6, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((^[Y0 : $i]:
% 0.61/0.91 ((('#sk1' @ '#sk2' @ Y0) => (((~) @ ('#sk1' @ Y0 @ '#sk2')))))) @
% 0.61/0.91 '#sk3')))
% 0.61/0.91 != (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0)))))))))),
% 0.61/0.91 inference('quantifier_rw', [status(thm)], [zip_derived_cl4])).
% 0.61/0.91 thf(zip_derived_cl11, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((('#sk1' @ '#sk2' @ '#sk3') => (((~) @ ('#sk1' @ '#sk3' @ '#sk2')))))))
% 0.61/0.91 != (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0)))))))))),
% 0.61/0.91 inference('ho_norm', [status(thm)], [zip_derived_cl6])).
% 0.61/0.91 thf(zip_derived_cl13, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((('#sk1' @ '#sk2' @ '#sk3') => (((~) @ ('#sk1' @ '#sk3' @ '#sk2')))))))
% 0.61/0.91 != (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0)))) @ '#sk4'))))),
% 0.61/0.91 inference('quantifier_rw', [status(thm)], [zip_derived_cl11])).
% 0.61/0.91 thf(zip_derived_cl19, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((('#sk1' @ '#sk2' @ '#sk3') => (((~) @ ('#sk1' @ '#sk3' @ '#sk2')))))))
% 0.61/0.91 != (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((~) @ ('#sk1' @ '#sk4' @ '#sk4'))))))),
% 0.61/0.91 inference('ho_norm', [status(thm)], [zip_derived_cl13])).
% 0.61/0.91 thf(zip_derived_cl1, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 ((('#sk1' @ Y0 @ Y1) =>
% 0.61/0.91 (((~) @ ('#sk1' @ Y1 @ Y0)))))))))))))
% 0.61/0.91 != (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0)))))))))),
% 0.61/0.91 inference('neg_ext', [status(thm)], [zip_derived_cl0])).
% 0.61/0.91 thf(zip_derived_cl2, plain,
% 0.61/0.91 (![X-81 : $i]:
% 0.61/0.91 ( ((^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 ((('#sk1' @ Y0 @ Y1) => (((~) @ ('#sk1' @ Y1 @ Y0))))))))) @
% 0.61/0.91 X-81)
% 0.61/0.91 | ((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ($false)))
% 0.61/0.91 != (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0))))))))))),
% 0.61/0.91 inference('forall_hoist', [status(thm)], [zip_derived_cl1])).
% 0.61/0.91 thf(zip_derived_cl7, plain,
% 0.61/0.91 (![X-81 : $i]:
% 0.61/0.91 ( (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 ((('#sk1' @ X-81 @ Y0) => (((~) @ ('#sk1' @ Y0 @ X-81))))))))
% 0.61/0.91 | ((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ($false)))
% 0.61/0.91 != (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0))))))))))),
% 0.61/0.91 inference('ho_norm', [status(thm)], [zip_derived_cl2])).
% 0.61/0.91 thf(zip_derived_cl8, plain,
% 0.61/0.91 (![X-81 : $i]:
% 0.61/0.91 ( (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 ((('#sk1' @ X-81 @ Y0) => (((~) @ ('#sk1' @ Y0 @ X-81))))))))
% 0.61/0.91 | (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0)))))))))),
% 0.61/0.91 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl7])).
% 0.61/0.91 thf(zip_derived_cl9, plain,
% 0.61/0.91 (![X0 : $i]:
% 0.61/0.91 ( (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 ((('#sk1' @ X0 @ Y0) => (((~) @ ('#sk1' @ Y0 @ X0))))))))
% 0.61/0.91 | (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0)))))))))),
% 0.61/0.91 inference('cannonize vars', [status(thm)], [zip_derived_cl8])).
% 0.61/0.91 thf(zip_derived_cl10, plain,
% 0.61/0.91 (![X0 : $i, X2 : $i]:
% 0.61/0.91 ( ((('#sk1' @ X0 @ X2) => (((~) @ ('#sk1' @ X2 @ X0)))))
% 0.61/0.91 | (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0)))))))))),
% 0.61/0.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])).
% 0.61/0.91 thf(zip_derived_cl18, plain,
% 0.61/0.91 (![X0 : $i, X2 : $i]:
% 0.61/0.91 (~ ('#sk1' @ X0 @ X2)
% 0.61/0.91 | ~ ('#sk1' @ X2 @ X0)
% 0.61/0.91 | (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0)))))))))),
% 0.61/0.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])).
% 0.61/0.91 thf(zip_derived_cl29, plain,
% 0.61/0.91 (![X0 : $i, X2 : $i]:
% 0.61/0.91 ( (((!!) @ (^[Y0 : $i]: (((~) @ ('#sk1' @ Y0 @ Y0))))))
% 0.61/0.91 | ~ ('#sk1' @ X2 @ X0)
% 0.61/0.91 | ~ ('#sk1' @ X0 @ X2))),
% 0.61/0.91 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])).
% 0.61/0.91 thf(zip_derived_cl35, plain,
% 0.61/0.91 (![X0 : $i, X2 : $i, X4 : $i]:
% 0.61/0.91 (~ ('#sk1' @ X4 @ X4) | ~ ('#sk1' @ X0 @ X2) | ~ ('#sk1' @ X2 @ X0))),
% 0.61/0.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])).
% 0.61/0.91 thf(zip_derived_cl73, plain,
% 0.61/0.91 (![X0 : $i]: (~ ('#sk1' @ X0 @ X0) | ~ ('#sk1' @ X0 @ X0))),
% 0.61/0.91 inference('eq_fact', [status(thm)], [zip_derived_cl35])).
% 0.61/0.91 thf(zip_derived_cl78, plain, (![X0 : $i]: ~ ('#sk1' @ X0 @ X0)),
% 0.61/0.91 inference('simplify', [status(thm)], [zip_derived_cl73])).
% 0.61/0.91 thf(zip_derived_cl92, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((('#sk1' @ '#sk2' @ '#sk3') => (((~) @ ('#sk1' @ '#sk3' @ '#sk2')))))))
% 0.61/0.91 != (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((~) @ ($false))))))),
% 0.61/0.91 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl78])).
% 0.61/0.91 thf(zip_derived_cl93, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((('#sk1' @ '#sk2' @ '#sk3') => (((~) @ ('#sk1' @ '#sk3' @ '#sk2')))))))
% 0.61/0.91 != (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))))),
% 0.61/0.91 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl92])).
% 0.61/0.91 thf(zip_derived_cl96, plain,
% 0.61/0.91 (( ('#sk1' @ '#sk3' @ '#sk2')
% 0.61/0.91 | ((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((('#sk1' @ '#sk2' @ '#sk3') => (((~) @ ($false)))))))
% 0.61/0.91 != (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2))))))))))))))),
% 0.61/0.91 inference('bool_hoist', [status(thm)], [zip_derived_cl93])).
% 0.61/0.91 thf(zip_derived_cl97, plain,
% 0.61/0.91 (( ('#sk1' @ '#sk3' @ '#sk2')
% 0.61/0.91 | ((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2))))))))))))
% 0.61/0.91 != (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2))))))))))))))),
% 0.61/0.91 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl96])).
% 0.61/0.91 thf(zip_derived_cl98, plain, ( ('#sk1' @ '#sk3' @ '#sk2')),
% 0.61/0.91 inference('simplify', [status(thm)], [zip_derived_cl97])).
% 0.61/0.91 thf(zip_derived_cl93, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((('#sk1' @ '#sk2' @ '#sk3') => (((~) @ ('#sk1' @ '#sk3' @ '#sk2')))))))
% 0.61/0.91 != (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))))),
% 0.61/0.91 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl92])).
% 0.61/0.91 thf(zip_derived_cl94, plain,
% 0.61/0.91 (( (((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((('#sk1' @ '#sk2' @ '#sk3') => (((~) @ ('#sk1' @ '#sk3' @ '#sk2')))))))
% 0.61/0.91 | (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))))),
% 0.61/0.91 inference('eq_elim', [status(thm)], [zip_derived_cl93])).
% 0.61/0.91 thf(zip_derived_cl99, plain,
% 0.61/0.91 (( ((($false) &
% 0.61/0.91 ((('#sk1' @ '#sk2' @ '#sk3') => (((~) @ ('#sk1' @ '#sk3' @ '#sk2')))))))
% 0.61/0.91 | (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))))),
% 0.61/0.91 inference('local_rewriting', [status(thm)], [zip_derived_cl94])).
% 0.61/0.91 thf(zip_derived_cl100, plain,
% 0.61/0.91 ( (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) & ('#sk1' @
% 0.61/0.91 Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2))))))))))))),
% 0.61/0.91 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl99])).
% 0.61/0.91 thf(zip_derived_cl105, plain,
% 0.61/0.91 (![X2 : $i]:
% 0.61/0.91 (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y0 @ Y1) & ('#sk1' @ X2 @ Y0))) =>
% 0.61/0.91 ('#sk1' @ X2 @ Y1)))))))))),
% 0.61/0.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl100])).
% 0.61/0.91 thf(zip_derived_cl106, plain,
% 0.61/0.91 (![X2 : $i, X4 : $i]:
% 0.61/0.91 (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 ((((('#sk1' @ X4 @ Y0) & ('#sk1' @ X2 @ X4))) =>
% 0.61/0.91 ('#sk1' @ X2 @ Y0))))))),
% 0.61/0.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl105])).
% 0.61/0.91 thf(zip_derived_cl107, plain,
% 0.61/0.91 (![X2 : $i, X4 : $i, X6 : $i]:
% 0.61/0.91 ((((('#sk1' @ X4 @ X6) & ('#sk1' @ X2 @ X4))) => ('#sk1' @ X2 @ X6)))),
% 0.61/0.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl106])).
% 0.61/0.91 thf(zip_derived_cl108, plain,
% 0.61/0.91 (![X2 : $i, X4 : $i, X6 : $i]:
% 0.61/0.91 (~ ((('#sk1' @ X4 @ X6) & ('#sk1' @ X2 @ X4))) | ('#sk1' @ X2 @ X6))),
% 0.61/0.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])).
% 0.61/0.91 thf(zip_derived_cl109, plain,
% 0.61/0.91 (![X2 : $i, X4 : $i, X6 : $i]:
% 0.61/0.91 (~ ('#sk1' @ X4 @ X6) | ~ ('#sk1' @ X2 @ X4) | ('#sk1' @ X2 @ X6))),
% 0.61/0.91 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl108])).
% 0.61/0.91 thf(zip_derived_cl78, plain, (![X0 : $i]: ~ ('#sk1' @ X0 @ X0)),
% 0.61/0.91 inference('simplify', [status(thm)], [zip_derived_cl73])).
% 0.61/0.91 thf(zip_derived_cl112, plain,
% 0.61/0.91 (![X0 : $i, X1 : $i]: (~ ('#sk1' @ X0 @ X1) | ~ ('#sk1' @ X1 @ X0))),
% 0.61/0.91 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl78])).
% 0.61/0.91 thf(zip_derived_cl179, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')),
% 0.61/0.91 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl112])).
% 0.61/0.91 thf(zip_derived_cl93, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((('#sk1' @ '#sk2' @ '#sk3') => (((~) @ ('#sk1' @ '#sk3' @ '#sk2')))))))
% 0.61/0.91 != (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))))),
% 0.61/0.91 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl92])).
% 0.61/0.91 thf(zip_derived_cl98, plain, ( ('#sk1' @ '#sk3' @ '#sk2')),
% 0.61/0.91 inference('simplify', [status(thm)], [zip_derived_cl97])).
% 0.61/0.91 thf(zip_derived_cl103, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 ((('#sk1' @ '#sk2' @ '#sk3') => (((~) @ ($true)))))))
% 0.61/0.91 != (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))))),
% 0.61/0.91 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl98])).
% 0.61/0.91 thf(zip_derived_cl104, plain,
% 0.61/0.91 (((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((~) @ ('#sk1' @ '#sk2' @ '#sk3')))))
% 0.61/0.91 != (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))))),
% 0.61/0.91 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl103])).
% 0.61/0.91 thf(zip_derived_cl149, plain,
% 0.61/0.91 (( ('#sk1' @ '#sk2' @ '#sk3')
% 0.61/0.91 | ((((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2)))))))))))) &
% 0.61/0.91 (((~) @ ($false)))))
% 0.61/0.91 != (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2))))))))))))))),
% 0.61/0.91 inference('bool_hoist', [status(thm)], [zip_derived_cl104])).
% 0.61/0.91 thf(zip_derived_cl150, plain,
% 0.61/0.91 (( ('#sk1' @ '#sk2' @ '#sk3')
% 0.61/0.91 | ((((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2))))))))))))
% 0.61/0.91 != (((!!) @ (^[Y0 : $i]:
% 0.61/0.91 (((!!) @ (^[Y1 : $i]:
% 0.61/0.91 (((!!) @ (^[Y2 : $i]:
% 0.61/0.91 ((((('#sk1' @ Y1 @ Y2) &
% 0.61/0.91 ('#sk1' @ Y0 @ Y1))) =>
% 0.61/0.91 ('#sk1' @ Y0 @ Y2))))))))))))))),
% 0.61/0.91 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl149])).
% 0.61/0.91 thf(zip_derived_cl151, plain, ( ('#sk1' @ '#sk2' @ '#sk3')),
% 0.61/0.91 inference('simplify', [status(thm)], [zip_derived_cl150])).
% 0.61/0.91 thf(zip_derived_cl201, plain, ($false),
% 0.61/0.91 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl151])).
% 0.61/0.91
% 0.61/0.91 % SZS output end Refutation
% 0.61/0.91
% 0.61/0.91
% 0.61/0.91 % Terminating...
% 0.62/1.02 % Runner terminated.
% 0.62/1.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------