%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO430^1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VA5EX12t9b true
% Computer : n019.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 05:07:27 PM UTC 2025
% Result : Theorem 0.58s 1.03s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO430^1 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VA5EX12t9b true
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:55:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.53/0.62 % Total configuration time : 828
% 0.53/0.62 % Estimated wc time : 1656
% 0.53/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.56/0.83 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.58/1.03 % Solved by lams/30_b.l.sh.
% 0.58/1.03 % done 316 iterations in 0.181s
% 0.58/1.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.03 % SZS output start Refutation
% 0.58/1.03 thf('#form2_type', type, '#form2': $o).
% 0.58/1.03 thf('#sk3_type', type, '#sk3': $i).
% 0.58/1.03 thf('#sk4_type', type, '#sk4': $i).
% 0.58/1.03 thf(rel_b_type, type, rel_b: $i > $i > $o).
% 0.58/1.03 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.58/1.03 thf('#sk5_type', type, '#sk5': $i > $i).
% 0.58/1.03 thf('#sk6_type', type, '#sk6': $i > $i).
% 0.58/1.03 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 0.58/1.03 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.58/1.03 thf(p_type, type, p: $i > $o).
% 0.58/1.03 thf(mdia_b_type, type, mdia_b: ($i > $o) > $i > $o).
% 0.58/1.03 thf('#sk7_type', type, '#sk7': $i > $i).
% 0.58/1.03 thf(mbox_b_type, type, mbox_b: ($i > $o) > $i > $o).
% 0.58/1.03 thf(msymmetric_type, type, msymmetric: ($i > $i > $o) > $o).
% 0.58/1.03 thf('#sk1_type', type, '#sk1': $i).
% 0.58/1.03 thf(mequiv_type, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.58/1.03 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.58/1.03 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 0.58/1.03 thf(prove, conjecture,
% 0.58/1.03 (mvalid @
% 0.58/1.03 ( mequiv @
% 0.58/1.03 ( mdia_b @ ( mbox_b @ p ) ) @
% 0.58/1.03 ( mdia_b @ ( mbox_b @ ( mdia_b @ ( mbox_b @ p ) ) ) ) ))).
% 0.58/1.03 thf(zf_stmt_0, negated_conjecture,
% 0.58/1.03 (~( mvalid @
% 0.58/1.03 ( mequiv @
% 0.58/1.03 ( mdia_b @ ( mbox_b @ p ) ) @
% 0.58/1.03 ( mdia_b @ ( mbox_b @ ( mdia_b @ ( mbox_b @ p ) ) ) ) ) )),
% 0.58/1.03 inference('cnf.neg', [status(esa)], [prove])).
% 0.58/1.03 thf(zip_derived_cl2, plain,
% 0.58/1.03 (~ (mvalid @
% 0.58/1.03 (mequiv @ (mdia_b @ (mbox_b @ p)) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p))))))),
% 0.58/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.03 thf(mvalid, axiom, ~ (mvalid @ X0) =>
% 0.58/1.03 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))).
% 0.58/1.03 thf('0', plain,
% 0.58/1.03 (![X0:( $i > $o )]:
% 0.58/1.03 ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )),
% 0.58/1.03 inference('rw.lit', [status(esa)], [mvalid])).
% 0.58/1.03 thf(zip_derived_cl9, plain,
% 0.58/1.03 (~ (((!!) @ (^[Y0 : $i]:
% 0.58/1.03 (mequiv @ (mdia_b @ (mbox_b @ p)) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ Y0))))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl2, '0'])).
% 0.58/1.03 thf(zip_derived_cl10, plain,
% 0.58/1.03 (~ (mequiv @ (mdia_b @ (mbox_b @ p)) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1')),
% 0.58/1.03 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
% 0.58/1.03 thf(mand, axiom,(( mand @ (X0)@ (X1)@ (X2)) =
% 0.58/1.03 ((mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)) @ X2)))).
% 0.58/1.03 thf('1', plain,
% 0.58/1.03 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 0.58/1.03 ( ( mand @ X0 @ X1 @ X2 ) =
% 0.58/1.03 ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) @ X2 ) )),
% 0.58/1.03 define([status(thm)])).
% 0.58/1.03 thf(mequiv, axiom,(( mequiv @ (X0)@ (X1)@ (X2)) =
% 0.58/1.03 ((mand @ (mimplies @ X0 @ X1) @ (mimplies @ X1 @ X0) @ X2)))).
% 0.58/1.03 thf('2', plain,
% 0.58/1.03 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 0.58/1.03 ( ( mequiv @ X0 @ X1 @ X2 ) =
% 0.58/1.03 ( mand @ ( mimplies @ X0 @ X1 ) @ ( mimplies @ X1 @ X0 ) @ X2 ) )),
% 0.58/1.03 define([status(thm)])).
% 0.58/1.03 thf(zip_derived_cl11, plain,
% 0.58/1.03 (~ (mnot @
% 0.58/1.03 (mor @
% 0.58/1.03 (mnot @
% 0.58/1.03 (mimplies @ (mdia_b @ (mbox_b @ p)) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))))) @
% 0.58/1.03 (mnot @
% 0.58/1.03 (mimplies @ (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @
% 0.58/1.03 (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 '#sk1')),
% 0.58/1.03 inference('rw', [status(thm)], [zip_derived_cl10, '1', '2'])).
% 0.58/1.03 thf(mnot, axiom, ~ (mnot @ X0 @ X1) => ((X0 @ X1) = ($true))).
% 0.58/1.03 thf('3', plain,
% 0.58/1.03 (![X0:( $i > $o ),X1:$i]: ( ( ~( mnot @ X0 @ X1 ) ) <=> ( X0 @ X1 ) )),
% 0.58/1.03 inference('rw.lit', [status(esa)], [mnot])).
% 0.58/1.03 thf(zip_derived_cl12, plain,
% 0.58/1.03 ( (mor @
% 0.58/1.03 (mnot @
% 0.58/1.03 (mimplies @ (mdia_b @ (mbox_b @ p)) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))))) @
% 0.58/1.03 (mnot @
% 0.58/1.03 (mimplies @ (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @
% 0.58/1.03 (mdia_b @ (mbox_b @ p)))) @
% 0.58/1.03 '#sk1')),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl11, '3'])).
% 0.58/1.03 thf(mor, axiom, (mor @ X0 @ X1 @ X2) =>
% 0.58/1.03 ((((X1 @ X2) | (X0 @ X2))) = ($true))).
% 0.58/1.03 thf('4', plain,
% 0.58/1.03 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
% 0.58/1.03 ( ( mor @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) | ( X1 @ X2 ) ) )),
% 0.58/1.03 inference('rw.lit', [status(esa)], [mor])).
% 0.58/1.03 thf(zip_derived_cl13, plain,
% 0.58/1.03 ( (((mnot @
% 0.58/1.03 (mimplies @ (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @
% 0.58/1.03 (mdia_b @ (mbox_b @ p))) @
% 0.58/1.03 '#sk1') | (mnot @
% 0.58/1.03 (mimplies @ (mdia_b @ (mbox_b @ p)) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 '#sk1')))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl12, '4'])).
% 0.58/1.03 thf(zip_derived_cl14, plain,
% 0.58/1.03 (( (mnot @
% 0.58/1.03 (mimplies @ (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @
% 0.58/1.03 (mdia_b @ (mbox_b @ p))) @
% 0.58/1.03 '#sk1')
% 0.58/1.03 | (mnot @
% 0.58/1.03 (mimplies @ (mdia_b @ (mbox_b @ p)) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 '#sk1'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
% 0.58/1.03 thf(mnot, axiom, (mnot @ X0 @ X1) => ((X0 @ X1) != ($true))).
% 0.58/1.03 thf('5', plain,
% 0.58/1.03 (![X0:( $i > $o ),X1:$i]: ( ( mnot @ X0 @ X1 ) <=> ( ~( X0 @ X1 ) ) )),
% 0.58/1.03 inference('rw.lit', [status(esa)], [mnot])).
% 0.58/1.03 thf(zip_derived_cl15, plain,
% 0.58/1.03 ((~ (mimplies @ (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @
% 0.58/1.03 (mdia_b @ (mbox_b @ p)) @ '#sk1')
% 0.58/1.03 | (mnot @
% 0.58/1.03 (mimplies @ (mdia_b @ (mbox_b @ p)) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 '#sk1'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl14, '5'])).
% 0.58/1.03 thf(mimplies, axiom,(( mimplies @ (X0)@ (X1)@ (X2)) =
% 0.58/1.03 ((mor @ (mnot @ X0) @ X1 @ X2)))).
% 0.58/1.03 thf('6', plain,
% 0.58/1.03 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 0.58/1.03 ( ( mimplies @ X0 @ X1 @ X2 ) = ( mor @ ( mnot @ X0 ) @ X1 @ X2 ) )),
% 0.58/1.03 define([status(thm)])).
% 0.58/1.03 thf(zip_derived_cl16, plain,
% 0.58/1.03 ((~ (mor @ (mnot @ (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 (mdia_b @ (mbox_b @ p)) @ '#sk1')
% 0.58/1.03 | (mnot @
% 0.58/1.03 (mimplies @ (mdia_b @ (mbox_b @ p)) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 '#sk1'))),
% 0.58/1.03 inference('rw', [status(thm)], [zip_derived_cl15, '6'])).
% 0.58/1.03 thf(mor, axiom, ~ (mor @ X0 @ X1 @ X2) =>
% 0.58/1.03 ((((X1 @ X2) | (X0 @ X2))) != ($true))).
% 0.58/1.03 thf('7', plain,
% 0.58/1.03 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
% 0.58/1.03 ( ( ~( mor @ X0 @ X1 @ X2 ) ) <=> ( ~( ( X1 @ X2 ) | ( X0 @ X2 ) ) ) )),
% 0.58/1.03 inference('rw.lit', [status(esa)], [mor])).
% 0.58/1.03 thf(zip_derived_cl17, plain,
% 0.58/1.03 ((~ (((mdia_b @ (mbox_b @ p) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1')))
% 0.58/1.03 | (mnot @
% 0.58/1.03 (mimplies @ (mdia_b @ (mbox_b @ p)) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 '#sk1'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl16, '7'])).
% 0.58/1.03 thf(mdia_b, axiom,(( mdia_b @ (X0)@ (X1)) =
% 0.58/1.03 ((mnot @ (mbox_b @ (mnot @ X0)) @ X1)))).
% 0.58/1.03 thf('8', plain,
% 0.58/1.03 (![X1:$i,X0:( $i > $o )]:
% 0.58/1.03 ( ( mdia_b @ X0 @ X1 ) = ( mnot @ ( mbox_b @ ( mnot @ X0 ) ) @ X1 ) )),
% 0.58/1.03 define([status(thm)])).
% 0.58/1.03 thf(zip_derived_cl18, plain,
% 0.58/1.03 ((~ (((mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1')))
% 0.58/1.03 | (mnot @
% 0.58/1.03 (mimplies @ (mdia_b @ (mbox_b @ p)) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 '#sk1'))),
% 0.58/1.03 inference('rw', [status(thm)], [zip_derived_cl17, '8'])).
% 0.58/1.03 thf(zip_derived_cl19, plain,
% 0.58/1.03 ((~ (mimplies @ (mdia_b @ (mbox_b @ p)) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1')
% 0.58/1.03 | ~ (((mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1'))))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl18, '5'])).
% 0.58/1.03 thf(zip_derived_cl20, plain,
% 0.58/1.03 ((~ (mor @ (mnot @ (mdia_b @ (mbox_b @ p))) @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1')
% 0.58/1.03 | ~ (((mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1'))))),
% 0.58/1.03 inference('rw', [status(thm)], [zip_derived_cl19, '6'])).
% 0.58/1.03 thf(zip_derived_cl21, plain,
% 0.58/1.03 ((~ (((mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p))) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ p)) @ '#sk1')))
% 0.58/1.03 | ~ (((mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1'))))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl20, '7'])).
% 0.58/1.03 thf(zip_derived_cl22, plain,
% 0.58/1.03 ((~ (((mnot @ (mbox_b @ (mnot @ (mbox_b @ (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 '#sk1') | (mnot @ (mdia_b @ (mbox_b @ p)) @ '#sk1')))
% 0.58/1.03 | ~ (((mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1'))))),
% 0.58/1.03 inference('rw', [status(thm)], [zip_derived_cl21, '8'])).
% 0.58/1.03 thf(zip_derived_cl23, plain,
% 0.58/1.03 ((~ (mnot @ (mbox_b @ (mnot @ (mbox_b @ (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 '#sk1')
% 0.58/1.03 | ~ (((mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1'))))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl22])).
% 0.58/1.03 thf(zip_derived_cl23, plain,
% 0.58/1.03 ((~ (mnot @ (mbox_b @ (mnot @ (mbox_b @ (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 '#sk1')
% 0.58/1.03 | ~ (((mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1'))))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl22])).
% 0.58/1.03 thf(zip_derived_cl25, plain,
% 0.58/1.03 (( ('#form2')
% 0.58/1.03 | ~ (((mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1'))))),
% 0.58/1.03 define([status(thm)])).
% 0.58/1.03 thf(zip_derived_cl28, plain,
% 0.58/1.03 ((~ ('#form2')
% 0.58/1.03 | ~ (mnot @ (mbox_b @ (mnot @ (mbox_b @ (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 '#sk1'))),
% 0.58/1.03 inference('renaming', [status(thm)], [zip_derived_cl23, zip_derived_cl25])).
% 0.58/1.03 thf(zip_derived_cl30, plain,
% 0.58/1.03 (( (mbox_b @ (mnot @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1')
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl28, '3'])).
% 0.58/1.03 thf(mbox_b, axiom, (mbox_b @ X0 @ X1) =>
% 0.58/1.03 ((((!!) @ (^[Y0 : $i]: (((((~) @ (rel_b @ X1 @ Y0))) | (X0 @ Y0)))))) =
% 0.58/1.03 ($true))).
% 0.58/1.03 thf('9', plain,
% 0.58/1.03 (![X0:( $i > $o ),X1:$i]:
% 0.58/1.03 ( ( mbox_b @ X0 @ X1 ) <=>
% 0.58/1.03 ( ![X6:$i]: ( ( ~( rel_b @ X1 @ X6 ) ) | ( X0 @ X6 ) ) ) )),
% 0.58/1.03 inference('rw.lit', [status(esa)], [mbox_b])).
% 0.58/1.03 thf(zip_derived_cl34, plain,
% 0.58/1.03 (( (((!!) @ (^[Y0 : $i]:
% 0.58/1.03 (((((~) @ (rel_b @ '#sk1' @ Y0))) | (mnot @
% 0.58/1.03 (mbox_b @ (mdia_b @ (mbox_b @ p))) @ Y0))))))
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl30, '9'])).
% 0.58/1.03 thf(zip_derived_cl40, plain,
% 0.58/1.03 (![X2 : $i]:
% 0.58/1.03 ( (((((~) @ (rel_b @ '#sk1' @ X2))) | (mnot @
% 0.58/1.03 (mbox_b @ (mdia_b @ (mbox_b @ p))) @ X2)))
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl34])).
% 0.58/1.03 thf(zip_derived_cl44, plain,
% 0.58/1.03 (![X2 : $i]:
% 0.58/1.03 (~ (rel_b @ '#sk1' @ X2)
% 0.58/1.03 | (mnot @ (mbox_b @ (mdia_b @ (mbox_b @ p))) @ X2)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl40])).
% 0.58/1.03 thf(zip_derived_cl48, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (mbox_b @ (mdia_b @ (mbox_b @ p)) @ X0)
% 0.58/1.03 | ~ ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl44, '5'])).
% 0.58/1.03 thf(mbox_b, axiom, ~ (mbox_b @ X0 @ X1) =>
% 0.58/1.03 ((((!!) @ (^[Y0 : $i]: (((((~) @ (rel_b @ X1 @ Y0))) | (X0 @ Y0)))))) !=
% 0.58/1.03 ($true))).
% 0.58/1.03 thf('10', plain,
% 0.58/1.03 (![X0:( $i > $o ),X1:$i]:
% 0.58/1.03 ( ( ~( mbox_b @ X0 @ X1 ) ) <=>
% 0.58/1.03 ( ~( ![X6:$i]: ( ( ~( rel_b @ X1 @ X6 ) ) | ( X0 @ X6 ) ) ) ) )),
% 0.58/1.03 inference('rw.lit', [status(esa)], [mbox_b])).
% 0.58/1.03 thf(zip_derived_cl54, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (((!!) @ (^[Y0 : $i]:
% 0.58/1.03 (((((~) @ (rel_b @ X0 @ Y0))) | (mdia_b @
% 0.58/1.03 (mbox_b @ p) @ Y0))))))
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl48, '10'])).
% 0.58/1.03 thf(zip_derived_cl58, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (((((~) @ (rel_b @ X0 @ ('#sk5' @ X0)))) | (mdia_b @
% 0.58/1.03 (mbox_b @ p) @ ('#sk5' @ X0))))
% 0.58/1.03 | ~ ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0))),
% 0.58/1.03 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl54])).
% 0.58/1.03 thf(zip_derived_cl62, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (((((~) @ (rel_b @ X0 @ ('#sk5' @ X0)))) | (mnot @
% 0.58/1.03 (mbox_b @ (mnot @ (mbox_b @ p))) @ ('#sk5' @ X0))))
% 0.58/1.03 | ~ ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0))),
% 0.58/1.03 inference('rw', [status(thm)], [zip_derived_cl58, '8'])).
% 0.58/1.03 thf(zip_derived_cl63, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 ( (rel_b @ X0 @ ('#sk5' @ X0))
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl62])).
% 0.58/1.03 thf(zip_derived_cl64, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ ('#sk5' @ X0))
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl62])).
% 0.58/1.03 thf(zip_derived_cl69, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 ( (mbox_b @ (mnot @ (mbox_b @ p)) @ ('#sk5' @ X0))
% 0.58/1.03 | ~ ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl64, '3'])).
% 0.58/1.03 thf(zip_derived_cl73, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 ( (((!!) @ (^[Y0 : $i]:
% 0.58/1.03 (((((~) @ (rel_b @ ('#sk5' @ X0) @ Y0))) | (mnot @
% 0.58/1.03 (mbox_b @ p) @ Y0))))))
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl69, '9'])).
% 0.58/1.03 thf(zip_derived_cl75, plain,
% 0.58/1.03 (![X0 : $i, X2 : $i]:
% 0.58/1.03 ( (((((~) @ (rel_b @ ('#sk5' @ X0) @ X2))) | (mnot @ (mbox_b @ p) @
% 0.58/1.03 X2)))
% 0.58/1.03 | ~ ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0))),
% 0.58/1.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl73])).
% 0.58/1.03 thf(zip_derived_cl77, plain,
% 0.58/1.03 (![X0 : $i, X2 : $i]:
% 0.58/1.03 (~ (rel_b @ ('#sk5' @ X0) @ X2)
% 0.58/1.03 | (mnot @ (mbox_b @ p) @ X2)
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl75])).
% 0.58/1.03 thf(zip_derived_cl79, plain,
% 0.58/1.03 (![X0 : $i, X1 : $i]:
% 0.58/1.03 (~ (mbox_b @ p @ X1)
% 0.58/1.03 | ~ ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | ~ (rel_b @ ('#sk5' @ X0) @ X1))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl77, '5'])).
% 0.58/1.03 thf(zip_derived_cl82, plain,
% 0.58/1.03 (![X0 : $i, X1 : $i]:
% 0.58/1.03 (~ (((!!) @ (^[Y0 : $i]: (((((~) @ (rel_b @ X0 @ Y0))) | (p @ Y0))))))
% 0.58/1.03 | ~ (rel_b @ ('#sk5' @ X1) @ X0)
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X1)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl79, '10'])).
% 0.58/1.03 thf(zip_derived_cl84, plain,
% 0.58/1.03 (![X0 : $i, X1 : $i]:
% 0.58/1.03 (~ (((((~) @ (rel_b @ X0 @ ('#sk6' @ X0)))) | (p @ ('#sk6' @ X0))))
% 0.58/1.03 | ~ ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X1)
% 0.58/1.03 | ~ (rel_b @ ('#sk5' @ X1) @ X0))),
% 0.58/1.03 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl82])).
% 0.58/1.03 thf(zip_derived_cl86, plain,
% 0.58/1.03 (![X0 : $i, X1 : $i]:
% 0.58/1.03 ( (rel_b @ X0 @ ('#sk6' @ X0))
% 0.58/1.03 | ~ (rel_b @ ('#sk5' @ X1) @ X0)
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X1)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl84])).
% 0.58/1.03 thf(a2, axiom, (msymmetric @ rel_b)).
% 0.58/1.03 thf(zip_derived_cl1, plain, ( (msymmetric @ rel_b)),
% 0.58/1.03 inference('cnf', [status(esa)], [a2])).
% 0.58/1.03 thf(msymmetric, axiom, (msymmetric @ X0) =>
% 0.58/1.03 ((((!!) @ (^[Y0 : $i]:
% 0.58/1.03 (((!!) @ (^[Y1 : $i]: (((X0 @ Y0 @ Y1) => (X0 @ Y1 @ Y0)))))))))
% 0.58/1.03 = ($true))).
% 0.58/1.03 thf('11', plain,
% 0.58/1.03 (![X0:( $i > $i > $o )]:
% 0.58/1.03 ( ( msymmetric @ X0 ) <=>
% 0.58/1.03 ( ![X5:$i,X7:$i]: ( ( X0 @ X5 @ X7 ) => ( X0 @ X7 @ X5 ) ) ) )),
% 0.58/1.03 inference('rw.lit', [status(esa)], [msymmetric])).
% 0.58/1.03 thf(zip_derived_cl5, plain,
% 0.58/1.03 ( (((!!) @ (^[Y0 : $i]:
% 0.58/1.03 (((!!) @ (^[Y1 : $i]:
% 0.58/1.03 (((rel_b @ Y0 @ Y1) => (rel_b @ Y1 @ Y0)))))))))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl1, '11'])).
% 0.58/1.03 thf(zip_derived_cl6, plain,
% 0.58/1.03 (![X2 : $i]:
% 0.58/1.03 (((!!) @ (^[Y0 : $i]: (((rel_b @ X2 @ Y0) => (rel_b @ Y0 @ X2))))))),
% 0.58/1.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
% 0.58/1.03 thf(zip_derived_cl7, plain,
% 0.58/1.03 (![X2 : $i, X4 : $i]: (((rel_b @ X2 @ X4) => (rel_b @ X4 @ X2)))),
% 0.58/1.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])).
% 0.58/1.03 thf(zip_derived_cl8, plain,
% 0.58/1.03 (![X2 : $i, X4 : $i]: (~ (rel_b @ X2 @ X4) | (rel_b @ X4 @ X2))),
% 0.58/1.03 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])).
% 0.58/1.03 thf(zip_derived_cl224, plain,
% 0.58/1.03 (![X0 : $i, X1 : $i]:
% 0.58/1.03 (~ ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X1)
% 0.58/1.03 | (rel_b @ X0 @ ('#sk6' @ X0))
% 0.58/1.03 | ~ (rel_b @ X0 @ ('#sk5' @ X1)))),
% 0.58/1.03 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl8])).
% 0.58/1.03 thf(zip_derived_cl440, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | (rel_b @ X0 @ ('#sk6' @ X0))
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl224])).
% 0.58/1.03 thf(zip_derived_cl464, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 ( (rel_b @ X0 @ ('#sk6' @ X0))
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('simplify', [status(thm)], [zip_derived_cl440])).
% 0.58/1.03 thf(zip_derived_cl25, plain,
% 0.58/1.03 (( ('#form2')
% 0.58/1.03 | ~ (((mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1'))))),
% 0.58/1.03 define([status(thm)])).
% 0.58/1.03 thf(zip_derived_cl26, plain,
% 0.58/1.03 ((~ (mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl25])).
% 0.58/1.03 thf(zip_derived_cl31, plain,
% 0.58/1.03 (( (mbox_b @ (mnot @ (mbox_b @ p)) @ '#sk1') | ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl26, '3'])).
% 0.58/1.03 thf(zip_derived_cl35, plain,
% 0.58/1.03 (( (((!!) @ (^[Y0 : $i]:
% 0.58/1.03 (((((~) @ (rel_b @ '#sk1' @ Y0))) | (mnot @
% 0.58/1.03 (mbox_b @ p) @ Y0))))))
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl31, '9'])).
% 0.58/1.03 thf(zip_derived_cl41, plain,
% 0.58/1.03 (![X2 : $i]:
% 0.58/1.03 ( (((((~) @ (rel_b @ '#sk1' @ X2))) | (mnot @ (mbox_b @ p) @ X2)))
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])).
% 0.58/1.03 thf(zip_derived_cl45, plain,
% 0.58/1.03 (![X2 : $i]:
% 0.58/1.03 (~ (rel_b @ '#sk1' @ X2) | (mnot @ (mbox_b @ p) @ X2) | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl41])).
% 0.58/1.03 thf(zip_derived_cl49, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (mbox_b @ p @ X0) | ('#form2') | ~ (rel_b @ '#sk1' @ X0))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl45, '5'])).
% 0.58/1.03 thf(zip_derived_cl55, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (((!!) @ (^[Y0 : $i]: (((((~) @ (rel_b @ X0 @ Y0))) | (p @ Y0))))))
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl49, '10'])).
% 0.58/1.03 thf(zip_derived_cl59, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (((((~) @ (rel_b @ X0 @ ('#sk6' @ X0)))) | (p @ ('#sk6' @ X0))))
% 0.58/1.03 | ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0))),
% 0.58/1.03 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl55])).
% 0.58/1.03 thf(zip_derived_cl65, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 ( (rel_b @ X0 @ ('#sk6' @ X0)) | ~ (rel_b @ '#sk1' @ X0) | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl59])).
% 0.58/1.03 thf(zip_derived_cl664, plain,
% 0.58/1.03 (![X0 : $i]: (~ (rel_b @ '#sk1' @ X0) | (rel_b @ X0 @ ('#sk6' @ X0)))),
% 0.58/1.03 inference('clc', [status(thm)], [zip_derived_cl464, zip_derived_cl65])).
% 0.58/1.03 thf(zip_derived_cl24, plain,
% 0.58/1.03 ((~ (mnot @ (mdia_b @ (mbox_b @ p)) @ '#sk1')
% 0.58/1.03 | ~ (((mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1'))))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl22])).
% 0.58/1.03 thf(zip_derived_cl25, plain,
% 0.58/1.03 (( ('#form2')
% 0.58/1.03 | ~ (((mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | (mnot @
% 0.58/1.03 (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1'))))),
% 0.58/1.03 define([status(thm)])).
% 0.58/1.03 thf(zip_derived_cl29, plain,
% 0.58/1.03 ((~ ('#form2') | ~ (mnot @ (mdia_b @ (mbox_b @ p)) @ '#sk1'))),
% 0.58/1.03 inference('renaming', [status(thm)], [zip_derived_cl24, zip_derived_cl25])).
% 0.58/1.03 thf(zip_derived_cl33, plain,
% 0.58/1.03 (( (mdia_b @ (mbox_b @ p) @ '#sk1') | ~ ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl29, '3'])).
% 0.58/1.03 thf(zip_derived_cl38, plain,
% 0.58/1.03 (( (mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ '#sk1') | ~ ('#form2'))),
% 0.58/1.03 inference('rw', [status(thm)], [zip_derived_cl33, '8'])).
% 0.58/1.03 thf(zip_derived_cl39, plain,
% 0.58/1.03 ((~ (mbox_b @ (mnot @ (mbox_b @ p)) @ '#sk1') | ~ ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl38, '5'])).
% 0.58/1.03 thf(zip_derived_cl43, plain,
% 0.58/1.03 ((~ (((!!) @ (^[Y0 : $i]:
% 0.58/1.03 (((((~) @ (rel_b @ '#sk1' @ Y0))) | (mnot @
% 0.58/1.03 (mbox_b @ p) @ Y0))))))
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl39, '10'])).
% 0.58/1.03 thf(zip_derived_cl47, plain,
% 0.58/1.03 ((~ (((((~) @ (rel_b @ '#sk1' @ '#sk4'))) | (mnot @ (mbox_b @ p) @
% 0.58/1.03 '#sk4')))
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl43])).
% 0.58/1.03 thf(zip_derived_cl53, plain,
% 0.58/1.03 ((~ (mnot @ (mbox_b @ p) @ '#sk4') | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl47])).
% 0.58/1.03 thf(zip_derived_cl57, plain, (( (mbox_b @ p @ '#sk4') | ~ ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl53, '3'])).
% 0.58/1.03 thf(zip_derived_cl61, plain,
% 0.58/1.03 (( (((!!) @ (^[Y0 : $i]: (((((~) @ (rel_b @ '#sk4' @ Y0))) | (p @ Y0))))))
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl57, '9'])).
% 0.58/1.03 thf(zip_derived_cl68, plain,
% 0.58/1.03 (![X2 : $i]:
% 0.58/1.03 ( (((((~) @ (rel_b @ '#sk4' @ X2))) | (p @ X2))) | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl61])).
% 0.58/1.03 thf(zip_derived_cl72, plain,
% 0.58/1.03 (![X2 : $i]: (~ (rel_b @ '#sk4' @ X2) | (p @ X2) | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl68])).
% 0.58/1.03 thf(zip_derived_cl65, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 ( (rel_b @ X0 @ ('#sk6' @ X0)) | ~ (rel_b @ '#sk1' @ X0) | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl59])).
% 0.58/1.03 thf(zip_derived_cl27, plain,
% 0.58/1.03 ((~ (mnot @ (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1')
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl25])).
% 0.58/1.03 thf(zip_derived_cl32, plain,
% 0.58/1.03 (( (mdia_b @ (mbox_b @ (mdia_b @ (mbox_b @ p))) @ '#sk1') | ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl27, '3'])).
% 0.58/1.03 thf(zip_derived_cl36, plain,
% 0.58/1.03 (( (mnot @ (mbox_b @ (mnot @ (mbox_b @ (mdia_b @ (mbox_b @ p))))) @
% 0.58/1.03 '#sk1')
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('rw', [status(thm)], [zip_derived_cl32, '8'])).
% 0.58/1.03 thf(zip_derived_cl37, plain,
% 0.58/1.03 ((~ (mbox_b @ (mnot @ (mbox_b @ (mdia_b @ (mbox_b @ p)))) @ '#sk1')
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl36, '5'])).
% 0.58/1.03 thf(zip_derived_cl42, plain,
% 0.58/1.03 ((~ (((!!) @ (^[Y0 : $i]:
% 0.58/1.03 (((((~) @ (rel_b @ '#sk1' @ Y0))) | (mnot @
% 0.58/1.03 (mbox_b @ (mdia_b @ (mbox_b @ p))) @ Y0))))))
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl37, '10'])).
% 0.58/1.03 thf(zip_derived_cl46, plain,
% 0.58/1.03 ((~ (((((~) @ (rel_b @ '#sk1' @ '#sk3'))) | (mnot @
% 0.58/1.03 (mbox_b @ (mdia_b @ (mbox_b @ p))) @ '#sk3')))
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])).
% 0.58/1.03 thf(zip_derived_cl51, plain,
% 0.58/1.03 ((~ (mnot @ (mbox_b @ (mdia_b @ (mbox_b @ p))) @ '#sk3') | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl46])).
% 0.58/1.03 thf(zip_derived_cl56, plain,
% 0.58/1.03 (( (mbox_b @ (mdia_b @ (mbox_b @ p)) @ '#sk3') | ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl51, '3'])).
% 0.58/1.03 thf(zip_derived_cl60, plain,
% 0.58/1.03 (( (((!!) @ (^[Y0 : $i]:
% 0.58/1.03 (((((~) @ (rel_b @ '#sk3' @ Y0))) | (mdia_b @
% 0.58/1.03 (mbox_b @ p) @ Y0))))))
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl56, '9'])).
% 0.58/1.03 thf(zip_derived_cl67, plain,
% 0.58/1.03 (![X2 : $i]:
% 0.58/1.03 ( (((((~) @ (rel_b @ '#sk3' @ X2))) | (mdia_b @ (mbox_b @ p) @ X2)))
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl60])).
% 0.58/1.03 thf(zip_derived_cl70, plain,
% 0.58/1.03 (![X2 : $i]:
% 0.58/1.03 ( (((((~) @ (rel_b @ '#sk3' @ X2))) | (mnot @
% 0.58/1.03 (mbox_b @ (mnot @ (mbox_b @ p))) @ X2)))
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('rw', [status(thm)], [zip_derived_cl67, '8'])).
% 0.58/1.03 thf(zip_derived_cl71, plain,
% 0.58/1.03 (![X2 : $i]:
% 0.58/1.03 (~ (rel_b @ '#sk3' @ X2)
% 0.58/1.03 | (mnot @ (mbox_b @ (mnot @ (mbox_b @ p))) @ X2)
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl70])).
% 0.58/1.03 thf(zip_derived_cl74, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (mbox_b @ (mnot @ (mbox_b @ p)) @ X0)
% 0.58/1.03 | ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk3' @ X0))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl71, '5'])).
% 0.58/1.03 thf(zip_derived_cl76, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (((!!) @ (^[Y0 : $i]:
% 0.58/1.03 (((((~) @ (rel_b @ X0 @ Y0))) | (mnot @ (mbox_b @ p) @
% 0.58/1.03 Y0))))))
% 0.58/1.03 | ~ (rel_b @ '#sk3' @ X0)
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl74, '10'])).
% 0.58/1.03 thf(zip_derived_cl78, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (((((~) @ (rel_b @ X0 @ ('#sk7' @ X0)))) | (mnot @ (mbox_b @ p) @
% 0.58/1.03 ('#sk7' @ X0))))
% 0.58/1.03 | ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk3' @ X0))),
% 0.58/1.03 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl76])).
% 0.58/1.03 thf(zip_derived_cl80, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 ( (rel_b @ X0 @ ('#sk7' @ X0)) | ~ (rel_b @ '#sk3' @ X0) | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl78])).
% 0.58/1.03 thf(zip_derived_cl81, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (mnot @ (mbox_b @ p) @ ('#sk7' @ X0))
% 0.58/1.03 | ~ (rel_b @ '#sk3' @ X0)
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl78])).
% 0.58/1.03 thf(zip_derived_cl83, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 ( (mbox_b @ p @ ('#sk7' @ X0)) | ('#form2') | ~ (rel_b @ '#sk3' @ X0))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl81, '3'])).
% 0.58/1.03 thf(zip_derived_cl85, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 ( (((!!) @ (^[Y0 : $i]:
% 0.58/1.03 (((((~) @ (rel_b @ ('#sk7' @ X0) @ Y0))) | (p @ Y0))))))
% 0.58/1.03 | ~ (rel_b @ '#sk3' @ X0)
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('rw_clause', [status(thm)], [zip_derived_cl83, '9'])).
% 0.58/1.03 thf(zip_derived_cl88, plain,
% 0.58/1.03 (![X0 : $i, X2 : $i]:
% 0.58/1.03 ( (((((~) @ (rel_b @ ('#sk7' @ X0) @ X2))) | (p @ X2)))
% 0.58/1.03 | ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk3' @ X0))),
% 0.58/1.03 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])).
% 0.58/1.03 thf(zip_derived_cl89, plain,
% 0.58/1.03 (![X0 : $i, X2 : $i]:
% 0.58/1.03 (~ (rel_b @ ('#sk7' @ X0) @ X2)
% 0.58/1.03 | (p @ X2)
% 0.58/1.03 | ~ (rel_b @ '#sk3' @ X0)
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl88])).
% 0.58/1.03 thf(zip_derived_cl8, plain,
% 0.58/1.03 (![X2 : $i, X4 : $i]: (~ (rel_b @ X2 @ X4) | (rel_b @ X4 @ X2))),
% 0.58/1.03 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])).
% 0.58/1.03 thf(zip_derived_cl324, plain,
% 0.58/1.03 (![X0 : $i, X1 : $i]:
% 0.58/1.03 ( ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk3' @ X1)
% 0.58/1.03 | (p @ X0)
% 0.58/1.03 | ~ (rel_b @ X0 @ ('#sk7' @ X1)))),
% 0.58/1.03 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl8])).
% 0.58/1.03 thf(zip_derived_cl540, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 ( ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk3' @ X0)
% 0.58/1.03 | (p @ X0)
% 0.58/1.03 | ~ (rel_b @ '#sk3' @ X0)
% 0.58/1.03 | ('#form2'))),
% 0.58/1.03 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl324])).
% 0.58/1.03 thf(zip_derived_cl549, plain,
% 0.58/1.03 (![X0 : $i]: ( (p @ X0) | ~ (rel_b @ '#sk3' @ X0) | ('#form2'))),
% 0.58/1.03 inference('simplify', [status(thm)], [zip_derived_cl540])).
% 0.58/1.03 thf(zip_derived_cl563, plain,
% 0.58/1.03 (( ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ '#sk3')
% 0.58/1.03 | ('#form2')
% 0.58/1.03 | (p @ ('#sk6' @ '#sk3')))),
% 0.58/1.03 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl549])).
% 0.58/1.03 thf(zip_derived_cl584, plain,
% 0.58/1.03 (( (p @ ('#sk6' @ '#sk3')) | ~ (rel_b @ '#sk1' @ '#sk3') | ('#form2'))),
% 0.58/1.03 inference('simplify', [status(thm)], [zip_derived_cl563])).
% 0.58/1.03 thf(zip_derived_cl63, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 ( (rel_b @ X0 @ ('#sk5' @ X0))
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl62])).
% 0.58/1.03 thf(zip_derived_cl87, plain,
% 0.58/1.03 (![X0 : $i, X1 : $i]:
% 0.58/1.03 (~ (p @ ('#sk6' @ X0))
% 0.58/1.03 | ~ (rel_b @ ('#sk5' @ X1) @ X0)
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X1)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl84])).
% 0.58/1.03 thf(zip_derived_cl8, plain,
% 0.58/1.03 (![X2 : $i, X4 : $i]: (~ (rel_b @ X2 @ X4) | (rel_b @ X4 @ X2))),
% 0.58/1.03 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])).
% 0.58/1.03 thf(zip_derived_cl248, plain,
% 0.58/1.03 (![X0 : $i, X1 : $i]:
% 0.58/1.03 (~ ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X1)
% 0.58/1.03 | ~ (p @ ('#sk6' @ X0))
% 0.58/1.03 | ~ (rel_b @ X0 @ ('#sk5' @ X1)))),
% 0.58/1.03 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl8])).
% 0.58/1.03 thf(zip_derived_cl483, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ ('#form2')
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | ~ (p @ ('#sk6' @ X0))
% 0.58/1.03 | ~ (rel_b @ '#sk1' @ X0)
% 0.58/1.03 | ~ ('#form2'))),
% 0.58/1.03 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl248])).
% 0.58/1.03 thf(zip_derived_cl492, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (p @ ('#sk6' @ X0)) | ~ (rel_b @ '#sk1' @ X0) | ~ ('#form2'))),
% 0.58/1.03 inference('simplify', [status(thm)], [zip_derived_cl483])).
% 0.58/1.03 thf(zip_derived_cl66, plain,
% 0.58/1.03 (![X0 : $i]:
% 0.58/1.03 (~ (p @ ('#sk6' @ X0)) | ~ (rel_b @ '#sk1' @ X0) | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl59])).
% 0.58/1.03 thf(zip_derived_cl496, plain,
% 0.58/1.03 (![X0 : $i]: (~ (rel_b @ '#sk1' @ X0) | ~ (p @ ('#sk6' @ X0)))),
% 0.58/1.03 inference('clc', [status(thm)], [zip_derived_cl492, zip_derived_cl66])).
% 0.58/1.03 thf(zip_derived_cl702, plain, (( ('#form2') | ~ (rel_b @ '#sk1' @ '#sk3'))),
% 0.58/1.03 inference('clc', [status(thm)], [zip_derived_cl584, zip_derived_cl496])).
% 0.58/1.03 thf(zip_derived_cl50, plain, (( (rel_b @ '#sk1' @ '#sk3') | ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl46])).
% 0.58/1.03 thf(zip_derived_cl703, plain, ( ('#form2')),
% 0.58/1.03 inference('clc', [status(thm)], [zip_derived_cl702, zip_derived_cl50])).
% 0.58/1.03 thf(zip_derived_cl706, plain,
% 0.58/1.03 (![X2 : $i]: (~ (rel_b @ '#sk4' @ X2) | (p @ X2))),
% 0.58/1.03 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl703])).
% 0.58/1.03 thf(zip_derived_cl817, plain,
% 0.58/1.03 ((~ (rel_b @ '#sk1' @ '#sk4') | (p @ ('#sk6' @ '#sk4')))),
% 0.58/1.03 inference('sup-', [status(thm)], [zip_derived_cl664, zip_derived_cl706])).
% 0.58/1.03 thf(zip_derived_cl52, plain, (( (rel_b @ '#sk1' @ '#sk4') | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl47])).
% 0.58/1.03 thf(zip_derived_cl703, plain, ( ('#form2')),
% 0.58/1.03 inference('clc', [status(thm)], [zip_derived_cl702, zip_derived_cl50])).
% 0.58/1.03 thf(zip_derived_cl704, plain, ( (rel_b @ '#sk1' @ '#sk4')),
% 0.58/1.03 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl703])).
% 0.58/1.03 thf(zip_derived_cl496, plain,
% 0.58/1.03 (![X0 : $i]: (~ (rel_b @ '#sk1' @ X0) | ~ (p @ ('#sk6' @ X0)))),
% 0.58/1.03 inference('clc', [status(thm)], [zip_derived_cl492, zip_derived_cl66])).
% 0.58/1.03 thf(zip_derived_cl52, plain, (( (rel_b @ '#sk1' @ '#sk4') | ~ ('#form2'))),
% 0.58/1.03 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl47])).
% 0.58/1.03 thf(zip_derived_cl497, plain, ((~ (p @ ('#sk6' @ '#sk4')) | ~ ('#form2'))),
% 0.58/1.03 inference('sup+', [status(thm)], [zip_derived_cl496, zip_derived_cl52])).
% 0.58/1.03 thf(zip_derived_cl703, plain, ( ('#form2')),
% 0.58/1.03 inference('clc', [status(thm)], [zip_derived_cl702, zip_derived_cl50])).
% 0.58/1.03 thf(zip_derived_cl721, plain, (~ (p @ ('#sk6' @ '#sk4'))),
% 0.58/1.03 inference('demod', [status(thm)], [zip_derived_cl497, zip_derived_cl703])).
% 0.58/1.03 thf(zip_derived_cl828, plain, ($false),
% 0.58/1.03 inference('demod', [status(thm)],
% 0.58/1.03 [zip_derived_cl817, zip_derived_cl704, zip_derived_cl721])).
% 0.58/1.03
% 0.58/1.03 % SZS output end Refutation
% 0.58/1.03
% 0.58/1.03
% 0.58/1.03 % Terminating...
% 0.58/1.17 % Runner terminated.
% 1.82/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------