%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL713^1 : 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.UQCh8vplsR true
% Computer : n029.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 01:37:06 PM UTC 2026
% Result : Theorem 17.72s 2.96s
% Output : Refutation 17.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL713^1 : 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.UQCh8vplsR true
% 0.13/0.38 % Computer : n029.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sat Sep 5 12:02:25 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 % Running portfolio for 300 s
% 0.13/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 % Number of cores: 8
% 0.13/0.39 % Python version: Python 3.12.3
% 0.13/0.39 % Running in HO mode
% 0.41/0.69 % Total configuration time : 828
% 0.41/0.69 % Estimated wc time : 1656
% 0.41/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.47/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.47/0.83 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.47/0.83 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.47/0.83 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.47/0.83 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.47/0.83 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.47/0.85 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.47/0.89 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.50/0.91 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 17.72/2.96 % Solved by lams/30_b.l.sh.
% 17.72/2.96 % done 40 iterations in 2.021s
% 17.72/2.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.72/2.96 % SZS output start Refutation
% 17.72/2.96 thf(meuclidean_type, type, meuclidean: ($i > $i > $o) > $o).
% 17.72/2.96 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 17.72/2.96 thf('#sk1_type', type, '#sk1': $i > $i > $o).
% 17.72/2.96 thf('#sk2_type', type, '#sk2': $i).
% 17.72/2.96 thf('#sk3_type', type, '#sk3': $i).
% 17.72/2.96 thf('#sk4_type', type, '#sk4': $i).
% 17.72/2.96 thf('#sk33_type', type, '#sk33': $i > ($i > $o) > $i).
% 17.72/2.96 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 17.72/2.96 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 17.72/2.96 thf(mdia_type, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 17.72/2.96 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 17.72/2.96 thf(mforall_prop_type, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 17.72/2.96 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 17.72/2.96 thf(conj, conjecture,
% 17.72/2.96 (![R:( $i > $i > $o )]:
% 17.72/2.96 ( ( mvalid @
% 17.72/2.96 ( mforall_prop @
% 17.72/2.96 ( ^[A:( $i > $o )]:
% 17.72/2.96 ( mimplies @ ( mdia @ R @ A ) @ ( mbox @ R @ ( mdia @ R @ A ) ) ) ) ) ) =>
% 17.72/2.96 ( meuclidean @ R ) ))).
% 17.72/2.96 thf(zf_stmt_0, negated_conjecture,
% 17.72/2.96 (~( ![R:( $i > $i > $o )]:
% 17.72/2.96 ( ( mvalid @
% 17.72/2.96 ( mforall_prop @
% 17.72/2.96 ( ^[A:( $i > $o )]:
% 17.72/2.96 ( mimplies @ ( mdia @ R @ A ) @ ( mbox @ R @ ( mdia @ R @ A ) ) ) ) ) ) =>
% 17.72/2.96 ( meuclidean @ R ) ) )),
% 17.72/2.96 inference('cnf.neg', [status(esa)], [conj])).
% 17.72/2.96 thf(zip_derived_cl0, plain,
% 17.72/2.96 (~ (((!!) @ (^[Y0 : $i > $i > $o]:
% 17.72/2.96 (((mvalid @
% 17.72/2.96 (mforall_prop @
% 17.72/2.96 (^[Y1 : $i > $o]:
% 17.72/2.96 (mimplies @ (mdia @ Y0 @ Y1) @
% 17.72/2.96 (mbox @ Y0 @ (mdia @ Y0 @ Y1)))))) =>
% 17.72/2.96 (meuclidean @ Y0))))))),
% 17.72/2.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.72/2.96 thf(zip_derived_cl1, plain,
% 17.72/2.96 (~ (((mvalid @
% 17.72/2.96 (mforall_prop @
% 17.72/2.96 (^[Y0 : $i > $o]:
% 17.72/2.96 (mimplies @ (mdia @ '#sk1' @ Y0) @
% 17.72/2.96 (mbox @ '#sk1' @ (mdia @ '#sk1' @ Y0)))))) =>
% 17.72/2.96 (meuclidean @ '#sk1')))),
% 17.72/2.96 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 17.72/2.96 thf(zip_derived_cl3, plain, (~ (meuclidean @ '#sk1')),
% 17.72/2.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 17.72/2.96 thf(meuclidean, axiom, ~ (meuclidean @ X0) =>
% 17.72/2.96 ((((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (((!!) @ (^[Y1 : $i]:
% 17.72/2.96 (((!!) @ (^[Y2 : $i]:
% 17.72/2.96 (((((X0 @ Y0 @ Y2) & (X0 @ Y0 @ Y1))) =>
% 17.72/2.96 (X0 @ Y1 @ Y2))))))))))))
% 17.72/2.96 != ($true))).
% 17.72/2.96 thf('0', plain,
% 17.72/2.96 (![X0:( $i > $i > $o )]:
% 17.72/2.96 ( ( ~( meuclidean @ X0 ) ) <=>
% 17.72/2.96 ( ~( ![X5:$i,X7:$i,X9:$i]:
% 17.72/2.96 ( ( ( X0 @ X5 @ X9 ) & ( X0 @ X5 @ X7 ) ) => ( X0 @ X7 @ X9 ) ) ) ) )),
% 17.72/2.96 inference('rw.lit', [status(esa)], [meuclidean])).
% 17.72/2.96 thf(zip_derived_cl5, plain,
% 17.72/2.96 (~ (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (((!!) @ (^[Y1 : $i]:
% 17.72/2.96 (((!!) @ (^[Y2 : $i]:
% 17.72/2.96 ((((('#sk1' @ Y0 @ Y2) &
% 17.72/2.96 ('#sk1' @ Y0 @ Y1))) =>
% 17.72/2.96 ('#sk1' @ Y1 @ Y2))))))))))))),
% 17.72/2.96 inference('rw_clause', [status(thm)], [zip_derived_cl3, '0'])).
% 17.72/2.96 thf(zip_derived_cl7, plain,
% 17.72/2.96 (~ (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (((!!) @ (^[Y1 : $i]:
% 17.72/2.96 ((((('#sk1' @ '#sk2' @ Y1) & ('#sk1' @
% 17.72/2.96 '#sk2' @ Y0))) =>
% 17.72/2.96 ('#sk1' @ Y0 @ Y1)))))))))),
% 17.72/2.96 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])).
% 17.72/2.96 thf(zip_derived_cl9, plain,
% 17.72/2.96 (~ (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 ((((('#sk1' @ '#sk2' @ Y0) & ('#sk1' @ '#sk2' @ '#sk3'))) =>
% 17.72/2.96 ('#sk1' @ '#sk3' @ Y0))))))),
% 17.72/2.96 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])).
% 17.72/2.96 thf(zip_derived_cl12, plain,
% 17.72/2.96 (~ ((((('#sk1' @ '#sk2' @ '#sk4') & ('#sk1' @ '#sk2' @ '#sk3'))) =>
% 17.72/2.96 ('#sk1' @ '#sk3' @ '#sk4')))),
% 17.72/2.96 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
% 17.72/2.96 thf(zip_derived_cl15, plain,
% 17.72/2.96 ( ((('#sk1' @ '#sk2' @ '#sk4') & ('#sk1' @ '#sk2' @ '#sk3')))),
% 17.72/2.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])).
% 17.72/2.96 thf(zip_derived_cl18, plain, ( ('#sk1' @ '#sk2' @ '#sk4')),
% 17.72/2.96 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
% 17.72/2.96 thf(zip_derived_cl2, plain,
% 17.72/2.96 ( (mvalid @
% 17.72/2.96 (mforall_prop @
% 17.72/2.96 (^[Y0 : $i > $o]:
% 17.72/2.96 (mimplies @ (mdia @ '#sk1' @ Y0) @
% 17.72/2.96 (mbox @ '#sk1' @ (mdia @ '#sk1' @ Y0))))))),
% 17.72/2.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])).
% 17.72/2.96 thf(mvalid, axiom, (mvalid @ X0) =>
% 17.72/2.96 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))).
% 17.72/2.96 thf('1', plain,
% 17.72/2.96 (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )),
% 17.72/2.96 inference('rw.lit', [status(esa)], [mvalid])).
% 17.72/2.96 thf(zip_derived_cl4, plain,
% 17.72/2.96 ( (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (mforall_prop @
% 17.72/2.96 (^[Y1 : $i > $o]:
% 17.72/2.96 (mimplies @ (mdia @ '#sk1' @ Y1) @
% 17.72/2.96 (mbox @ '#sk1' @ (mdia @ '#sk1' @ Y1)))) @
% 17.72/2.96 Y0))))),
% 17.72/2.96 inference('rw_clause', [status(thm)], [zip_derived_cl2, '1'])).
% 17.72/2.96 thf(zip_derived_cl6, plain,
% 17.72/2.96 (![X2 : $i]:
% 17.72/2.96 (mforall_prop @
% 17.72/2.96 (^[Y0 : $i > $o]:
% 17.72/2.96 (mimplies @ (mdia @ '#sk1' @ Y0) @
% 17.72/2.96 (mbox @ '#sk1' @ (mdia @ '#sk1' @ Y0)))) @
% 17.72/2.96 X2)),
% 17.72/2.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])).
% 17.72/2.96 thf(mforall_prop, axiom, (mforall_prop @ X0 @ X1) =>
% 17.72/2.96 ((((!!) @ (^[Y0 : $i > $o]: (X0 @ Y0 @ X1)))) = ($true))).
% 17.72/2.96 thf('2', plain,
% 17.72/2.96 (![X0:( ( $i > $o ) > $i > $o ),X1:$i]:
% 17.72/2.96 ( ( mforall_prop @ X0 @ X1 ) <=> ( ![X6:( $i > $o )]: ( X0 @ X6 @ X1 ) ) )),
% 17.72/2.96 inference('rw.lit', [status(esa)], [mforall_prop])).
% 17.72/2.96 thf(zip_derived_cl8, plain,
% 17.72/2.96 (![X0 : $i]:
% 17.72/2.96 (((!!) @ (^[Y0 : $i > $o]:
% 17.72/2.96 ((^[Y1 : $i > $o]:
% 17.72/2.96 (mimplies @ (mdia @ '#sk1' @ Y1) @
% 17.72/2.96 (mbox @ '#sk1' @ (mdia @ '#sk1' @ Y1)))) @
% 17.72/2.96 Y0 @ X0))))),
% 17.72/2.96 inference('rw_clause', [status(thm)], [zip_derived_cl6, '2'])).
% 17.72/2.96 thf(zip_derived_cl10, plain,
% 17.72/2.96 (![X0 : $i]:
% 17.72/2.96 (((!!) @ (^[Y0 : $i > $o]:
% 17.72/2.96 (mimplies @ (mdia @ '#sk1' @ Y0) @
% 17.72/2.96 (mbox @ '#sk1' @ (mdia @ '#sk1' @ Y0)) @ X0))))),
% 17.72/2.96 inference('ho_norm', [status(thm)], [zip_derived_cl8])).
% 17.72/2.96 thf(zip_derived_cl11, plain,
% 17.72/2.96 (![X0 : $i, X2 : $i > $o]:
% 17.72/2.96 (mimplies @ (mdia @ '#sk1' @ X2) @
% 17.72/2.96 (mbox @ '#sk1' @ (mdia @ '#sk1' @ X2)) @ X0)),
% 17.72/2.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])).
% 17.72/2.96 thf(mimplies, axiom,(( mimplies @ (X0)@ (X1)@ (X2)) =
% 17.72/2.96 ((mor @ (mnot @ X0) @ X1 @ X2)))).
% 17.72/2.96 thf('3', plain,
% 17.72/2.96 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 17.72/2.96 ( ( mimplies @ X0 @ X1 @ X2 ) = ( mor @ ( mnot @ X0 ) @ X1 @ X2 ) )),
% 17.72/2.96 define([status(thm)])).
% 17.72/2.96 thf(zip_derived_cl13, plain,
% 17.72/2.96 (![X0 : $i, X2 : $i > $o]:
% 17.72/2.96 (mor @ (mnot @ (mdia @ '#sk1' @ X2)) @
% 17.72/2.96 (mbox @ '#sk1' @ (mdia @ '#sk1' @ X2)) @ X0)),
% 17.72/2.96 inference('rw', [status(thm)], [zip_derived_cl11, '3'])).
% 17.72/2.96 thf(mor, axiom, (mor @ X0 @ X1 @ X2) =>
% 17.72/2.96 ((((X1 @ X2) | (X0 @ X2))) = ($true))).
% 17.72/2.96 thf('4', plain,
% 17.72/2.96 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
% 17.72/2.96 ( ( mor @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) | ( X1 @ X2 ) ) )),
% 17.72/2.96 inference('rw.lit', [status(esa)], [mor])).
% 17.72/2.96 thf(zip_derived_cl14, plain,
% 17.72/2.96 (![X0 : $i > $o, X1 : $i]:
% 17.72/2.96 (((mbox @ '#sk1' @ (mdia @ '#sk1' @ X0) @ X1) | (mnot @
% 17.72/2.96 (mdia @ '#sk1' @ X0) @ X1)))),
% 17.72/2.96 inference('rw_clause', [status(thm)], [zip_derived_cl13, '4'])).
% 17.72/2.96 thf(zip_derived_cl17, plain,
% 17.72/2.96 (![X0 : $i > $o, X1 : $i]:
% 17.72/2.96 ( (mbox @ '#sk1' @ (mdia @ '#sk1' @ X0) @ X1)
% 17.72/2.96 | (mnot @ (mdia @ '#sk1' @ X0) @ X1))),
% 17.72/2.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl14])).
% 17.72/2.96 thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
% 17.72/2.96 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) =
% 17.72/2.96 ($true))).
% 17.72/2.96 thf('5', plain,
% 17.72/2.96 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 17.72/2.96 ( ( mbox @ X0 @ X1 @ X2 ) <=>
% 17.72/2.96 ( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) )),
% 17.72/2.96 inference('rw.lit', [status(esa)], [mbox])).
% 17.72/2.96 thf(zip_derived_cl20, plain,
% 17.72/2.96 (![X0 : $i, X1 : $i > $o]:
% 17.72/2.96 ( (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (((((~) @ ('#sk1' @ X0 @ Y0))) | (mdia @ '#sk1' @ X1 @
% 17.72/2.96 Y0))))))
% 17.72/2.96 | (mnot @ (mdia @ '#sk1' @ X1) @ X0))),
% 17.72/2.96 inference('rw_clause', [status(thm)], [zip_derived_cl17, '5'])).
% 17.72/2.96 thf(mnot, axiom, (mnot @ X0 @ X1) => ((X0 @ X1) != ($true))).
% 17.72/2.96 thf('6', plain,
% 17.72/2.96 (![X0:( $i > $o ),X1:$i]: ( ( mnot @ X0 @ X1 ) <=> ( ~( X0 @ X1 ) ) )),
% 17.72/2.96 inference('rw.lit', [status(esa)], [mnot])).
% 17.72/2.96 thf(zip_derived_cl21, plain,
% 17.72/2.96 (![X0 : $i > $o, X1 : $i]:
% 17.72/2.96 (~ (mdia @ '#sk1' @ X0 @ X1)
% 17.72/2.96 | (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 17.72/2.96 X0 @ Y0)))))))),
% 17.72/2.96 inference('rw_clause', [status(thm)], [zip_derived_cl20, '6'])).
% 17.72/2.96 thf(mdia, axiom,(( mdia @ (X0)@ (X1)@ (X2)) =
% 17.72/2.96 ((mnot @ (mbox @ X0 @ (mnot @ X1)) @ X2)))).
% 17.72/2.96 thf('7', plain,
% 17.72/2.96 (![X2:$i,X1:( $i > $o ),X0:( $i > $i > $o )]:
% 17.72/2.96 ( ( mdia @ X0 @ X1 @ X2 ) =
% 17.72/2.96 ( mnot @ ( mbox @ X0 @ ( mnot @ X1 ) ) @ X2 ) )),
% 17.72/2.96 define([status(thm)])).
% 17.72/2.96 thf(zip_derived_cl22, plain,
% 17.72/2.96 (![X0 : $i > $o, X1 : $i]:
% 17.72/2.96 (~ (mnot @ (mbox @ '#sk1' @ (mnot @ X0)) @ X1)
% 17.72/2.96 | (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 17.72/2.96 X0 @ Y0)))))))),
% 17.72/2.96 inference('rw', [status(thm)], [zip_derived_cl21, '7'])).
% 17.72/2.96 thf(mnot, axiom, ~ (mnot @ X0 @ X1) => ((X0 @ X1) = ($true))).
% 17.72/2.96 thf('8', plain,
% 17.72/2.96 (![X0:( $i > $o ),X1:$i]: ( ( ~( mnot @ X0 @ X1 ) ) <=> ( X0 @ X1 ) )),
% 17.72/2.96 inference('rw.lit', [status(esa)], [mnot])).
% 17.72/2.96 thf(zip_derived_cl23, plain,
% 17.72/2.96 (![X0 : $i > $o, X1 : $i]:
% 17.72/2.96 ( (mbox @ '#sk1' @ (mnot @ X0) @ X1)
% 17.72/2.96 | (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 17.72/2.96 X0 @ Y0)))))))),
% 17.72/2.96 inference('rw_clause', [status(thm)], [zip_derived_cl22, '8'])).
% 17.72/2.96 thf(zip_derived_cl24, plain,
% 17.72/2.96 (![X0 : $i > $o, X1 : $i]:
% 17.72/2.96 ( (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mnot @ X0 @ Y0))))))
% 17.72/2.96 | (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 17.72/2.96 X0 @ Y0)))))))),
% 17.72/2.96 inference('rw_clause', [status(thm)], [zip_derived_cl23, '5'])).
% 17.72/2.96 thf(zip_derived_cl25, plain,
% 17.72/2.96 (![X0 : $i > $o, X1 : $i, X3 : $i]:
% 17.72/2.96 ( (((((~) @ ('#sk1' @ X1 @ X3))) | (mnot @ X0 @ X3)))
% 17.72/2.96 | (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 17.72/2.96 X0 @ Y0)))))))),
% 17.72/2.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])).
% 17.72/2.96 thf(zip_derived_cl26, plain,
% 17.72/2.96 (![X0 : $i > $o, X1 : $i, X3 : $i]:
% 17.72/2.96 (~ ('#sk1' @ X1 @ X3)
% 17.72/2.96 | (mnot @ X0 @ X3)
% 17.72/2.96 | (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 17.72/2.96 X0 @ Y0)))))))),
% 17.72/2.96 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl25])).
% 17.72/2.96 thf(zip_derived_cl27, plain,
% 17.72/2.96 (![X0 : $i > $o, X1 : $i, X2 : $i]:
% 17.72/2.96 (~ (X0 @ X2)
% 17.72/2.96 | (((!!) @ (^[Y0 : $i]:
% 17.72/2.96 (((((~) @ ('#sk1' @ X1 @ Y0))) | (mdia @ '#sk1' @
% 17.72/2.96 X0 @ Y0))))))
% 17.72/2.96 | ~ ('#sk1' @ X1 @ X2))),
% 17.72/2.96 inference('rw_clause', [status(thm)], [zip_derived_cl26, '6'])).
% 17.72/2.96 thf(zip_derived_cl28, plain,
% 17.72/2.96 (![X0 : $i > $o, X1 : $i, X2 : $i, X4 : $i]:
% 17.72/2.96 ( (((((~) @ ('#sk1' @ X1 @ X4))) | (mdia @ '#sk1' @ X0 @ X4)))
% 17.72/2.96 | ~ ('#sk1' @ X1 @ X2)
% 17.72/2.96 | ~ (X0 @ X2))),
% 17.72/2.96 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])).
% 17.72/2.96 thf(zip_derived_cl29, plain,
% 17.72/2.96 (![X0 : $i > $o, X1 : $i, X2 : $i, X4 : $i]:
% 17.72/2.96 ( (((((~) @ ('#sk1' @ X1 @ X4))) | (mnot @
% 17.72/2.96 (mbox @ '#sk1' @ (mnot @ X0)) @ X4)))
% 17.72/2.96 | ~ ('#sk1' @ X1 @ X2)
% 17.72/2.96 | ~ (X0 @ X2))),
% 17.72/2.96 inference('rw', [status(thm)], [zip_derived_cl28, '7'])).
% 17.72/2.96 thf(zip_derived_cl30, plain,
% 17.72/2.96 (![X0 : $i > $o, X1 : $i, X2 : $i, X4 : $i]:
% 17.72/2.96 (~ ('#sk1' @ X1 @ X4)
% 17.72/2.96 | (mnot @ (mbox @ '#sk1' @ (mnot @ X0)) @ X4)
% 17.72/2.97 | ~ (X0 @ X2)
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X2))),
% 17.72/2.97 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl29])).
% 17.72/2.97 thf(zip_derived_cl31, plain,
% 17.72/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 17.72/2.97 (~ (mbox @ '#sk1' @ (mnot @ X2) @ X3)
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X0)
% 17.72/2.97 | ~ (X2 @ X0)
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X3))),
% 17.72/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl30, '6'])).
% 17.72/2.97 thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) =>
% 17.72/2.97 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) !=
% 17.72/2.97 ($true))).
% 17.72/2.97 thf('9', plain,
% 17.72/2.97 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 17.72/2.97 ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=>
% 17.72/2.97 ( ~( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) ) )),
% 17.72/2.97 inference('rw.lit', [status(esa)], [mbox])).
% 17.72/2.97 thf(zip_derived_cl32, plain,
% 17.72/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 17.72/2.97 (~ (((!!) @ (^[Y0 : $i]:
% 17.72/2.97 (((((~) @ ('#sk1' @ X0 @ Y0))) | (mnot @ X2 @ Y0))))))
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X0)
% 17.72/2.97 | ~ (X2 @ X3)
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X3))),
% 17.72/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl31, '9'])).
% 17.72/2.97 thf(zip_derived_cl33, plain,
% 17.72/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 17.72/2.97 (~ (((((~) @ ('#sk1' @ X0 @ ('#sk33' @ X0 @ X2)))) | (mnot @ X2 @
% 17.72/2.97 ('#sk33' @ X0 @ X2))))
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X3)
% 17.72/2.97 | ~ (X2 @ X3)
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X0))),
% 17.72/2.97 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl32])).
% 17.72/2.97 thf(zip_derived_cl35, plain,
% 17.72/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 17.72/2.97 (~ (mnot @ X2 @ ('#sk33' @ X0 @ X2))
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X0)
% 17.72/2.97 | ~ (X2 @ X3)
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X3))),
% 17.72/2.97 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl33])).
% 17.72/2.97 thf(zip_derived_cl36, plain,
% 17.72/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 17.72/2.97 ( (X2 @ ('#sk33' @ X3 @ X2))
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X0)
% 17.72/2.97 | ~ (X2 @ X0)
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X3))),
% 17.72/2.97 inference('rw_clause', [status(thm)], [zip_derived_cl35, '8'])).
% 17.72/2.97 thf(zip_derived_cl19, plain, ( ('#sk1' @ '#sk2' @ '#sk3')),
% 17.72/2.97 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
% 17.72/2.97 thf(zip_derived_cl38, plain,
% 17.72/2.97 (![X0 : $i > $o, X1 : $i]:
% 17.72/2.97 (~ (X0 @ X1)
% 17.72/2.97 | ~ ('#sk1' @ '#sk2' @ X1)
% 17.72/2.97 | (X0 @ ('#sk33' @ '#sk3' @ X0)))),
% 17.72/2.97 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl19])).
% 17.72/2.97 thf(zip_derived_cl18, plain, ( ('#sk1' @ '#sk2' @ '#sk4')),
% 17.72/2.97 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
% 17.72/2.97 thf(zip_derived_cl851, plain,
% 17.72/2.97 (![X0 : $i > $o]: ( (X0 @ ('#sk33' @ '#sk3' @ X0)) | ~ (X0 @ '#sk4'))),
% 17.72/2.97 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl18])).
% 17.72/2.97 thf(zip_derived_cl1416, plain,
% 17.72/2.97 (( ((^[Y0 : $i]: ((('#sk4') = (Y0)))) @
% 17.72/2.97 ('#sk33' @ '#sk3' @ (^[Y0 : $i]: ((('#sk4') = (Y0))))))
% 17.72/2.97 | ~ ((^[Y0 : $i]: ((('#sk4') = (Y0)))) @ '#sk4'))),
% 17.72/2.97 inference('elim_leibniz_eq_-', [status(thm)], [zip_derived_cl851])).
% 17.72/2.97 thf(zip_derived_cl1426, plain,
% 17.72/2.97 (( ((('#sk4') = ('#sk33' @ '#sk3' @ ((($i) = ('#sk4'))))))
% 17.72/2.97 | ~ ((('#sk4') = ('#sk4'))))),
% 17.72/2.97 inference('ho_norm', [status(thm)], [zip_derived_cl1416])).
% 17.72/2.97 thf(zip_derived_cl1427, plain,
% 17.72/2.97 ( ((('#sk4') = ('#sk33' @ '#sk3' @ ((($i) = ('#sk4'))))))),
% 17.72/2.97 inference('simplify boolean subterms', [status(thm)],
% 17.72/2.97 [zip_derived_cl1426])).
% 17.72/2.97 thf(zip_derived_cl1428, plain,
% 17.72/2.97 ((('#sk4') = ('#sk33' @ '#sk3' @ ((($i) = ('#sk4')))))),
% 17.72/2.97 inference('simplify nested equalities', [status(thm)],
% 17.72/2.97 [zip_derived_cl1427])).
% 17.72/2.97 thf(zip_derived_cl34, plain,
% 17.72/2.97 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i]:
% 17.72/2.97 ( ('#sk1' @ X0 @ ('#sk33' @ X0 @ X2))
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X0)
% 17.72/2.97 | ~ (X2 @ X3)
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X3))),
% 17.72/2.97 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl33])).
% 17.72/2.97 thf(zip_derived_cl1450, plain,
% 17.72/2.97 (![X0 : $i, X1 : $i]:
% 17.72/2.97 ( ('#sk1' @ '#sk3' @ '#sk4')
% 17.72/2.97 | ~ ('#sk1' @ X1 @ X0)
% 17.72/2.97 | ~ ((('#sk4') = (X0)))
% 17.72/2.97 | ~ ('#sk1' @ X1 @ '#sk3'))),
% 17.72/2.97 inference('sup+', [status(thm)], [zip_derived_cl1428, zip_derived_cl34])).
% 17.72/2.97 thf(zip_derived_cl16, plain, (~ ('#sk1' @ '#sk3' @ '#sk4')),
% 17.72/2.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])).
% 17.72/2.97 thf(zip_derived_cl1542, plain,
% 17.72/2.97 (![X0 : $i, X1 : $i]:
% 17.72/2.97 (~ ('#sk1' @ X1 @ X0)
% 17.72/2.97 | ~ ((('#sk4') = (X0)))
% 17.72/2.97 | ~ ('#sk1' @ X1 @ '#sk3'))),
% 17.72/2.97 inference('demod', [status(thm)], [zip_derived_cl1450, zip_derived_cl16])).
% 17.72/2.97 thf(zip_derived_cl1543, plain,
% 17.72/2.97 (![X0 : $i, X1 : $i]:
% 17.72/2.97 (~ ('#sk1' @ X1 @ X0) | (('#sk4') != (X0)) | ~ ('#sk1' @ X1 @ '#sk3'))),
% 17.72/2.97 inference('simplify nested equalities', [status(thm)],
% 17.72/2.97 [zip_derived_cl1542])).
% 17.72/2.97 thf(zip_derived_cl1544, plain,
% 17.72/2.97 (![X1 : $i]: (~ ('#sk1' @ X1 @ '#sk3') | ~ ('#sk1' @ X1 @ '#sk4'))),
% 17.72/2.97 inference('simplify', [status(thm)], [zip_derived_cl1543])).
% 17.72/2.97 thf(zip_derived_cl1594, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')),
% 17.72/2.97 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1544])).
% 17.72/2.97 thf(zip_derived_cl19, plain, ( ('#sk1' @ '#sk2' @ '#sk3')),
% 17.72/2.97 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
% 17.72/2.97 thf(zip_derived_cl1758, plain, ($false),
% 17.72/2.97 inference('demod', [status(thm)], [zip_derived_cl1594, zip_derived_cl19])).
% 17.72/2.97
% 17.72/2.97 % SZS output end Refutation
% 17.72/2.97
% 17.72/2.97
% 17.72/2.97 % Terminating...
% 17.72/3.06 % Runner terminated.
% 19.04/3.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------