TSTP Solution File: SWV427^2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV427^2 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ICan4kUP0d true
% Computer : n007.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 : Fri Sep 1 00:09:54 EDT 2023
% Result : Theorem 0.60s 0.93s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV427^2 : TPTP v8.1.2. Released v3.6.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ICan4kUP0d true
% 0.14/0.35 % Computer : n007.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 : Tue Aug 29 06:48:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.58/0.69 % Total configuration time : 828
% 0.58/0.69 % Estimated wc time : 1656
% 0.58/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.58/0.82 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.60/0.93 % Solved by lams/40_b.comb.sh.
% 0.60/0.93 % done 29 iterations in 0.142s
% 0.60/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.93 % SZS output start Refutation
% 0.60/0.93 thf('#sk5_type', type, '#sk5': ($i > $o) > $i > $i).
% 0.60/0.93 thf(icl_says_type, type, icl_says: ($i > $o) > ($i > $o) > $i > $o).
% 0.60/0.93 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.60/0.93 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 0.60/0.93 thf('#sk1_type', type, '#sk1': $i).
% 0.60/0.93 thf('#sk4_type', type, '#sk4': $i).
% 0.60/0.93 thf(s_type, type, s: $i > $o).
% 0.60/0.93 thf(rel_type, type, rel: $i > $i > $o).
% 0.60/0.93 thf(icl_atom_type, type, icl_atom: ($i > $o) > $i > $o).
% 0.60/0.93 thf(mimpl_type, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.60/0.93 thf('#sk3_type', type, '#sk3': $i).
% 0.60/0.93 thf('#sk2_type', type, '#sk2': $i).
% 0.60/0.93 thf(icl_impl_type, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.60/0.93 thf(icl_princ_type, type, icl_princ: ($i > $o) > $i > $o).
% 0.60/0.93 thf(a_type, type, a: $i > $o).
% 0.60/0.93 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 0.60/0.93 thf(iclval_type, type, iclval: ($i > $o) > $o).
% 0.60/0.93 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.60/0.93 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 0.60/0.93 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 0.60/0.93 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 0.60/0.93 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 0.60/0.93 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 0.60/0.93 thf(refl_axiom, axiom,
% 0.60/0.93 (![A:( $i > $o )]: ( mvalid @ ( mimpl @ ( mbox @ rel @ A ) @ A ) ))).
% 0.60/0.93 thf(zip_derived_cl0, plain,
% 0.60/0.93 ( (((!!) @ (^[Y0 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ Y0) @ Y0)))))),
% 0.60/0.93 inference('cnf', [status(esa)], [refl_axiom])).
% 0.60/0.93 thf(zip_derived_cl1, plain,
% 0.60/0.93 ( (((!!) @ ((('#B') @ mvalid @
% 0.60/0.93 ((('#S') @ ((('#B') @ mimpl @ (mbox @ rel))) @ ('#I')))))))),
% 0.60/0.93 inference('lams2combs', [status(thm)], [zip_derived_cl0])).
% 0.60/0.93 thf(zip_derived_cl54, plain,
% 0.60/0.93 (![X2 : $i > $o]: (mvalid @ (mimpl @ (mbox @ rel @ X2) @ X2))),
% 0.60/0.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])).
% 0.60/0.93 thf(mvalid, axiom, (mvalid @ X0) =>
% 0.60/0.93 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))).
% 0.60/0.93 thf('0', plain,
% 0.60/0.93 (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )),
% 0.60/0.93 inference('rw.lit', [status(esa)], [mvalid])).
% 0.60/0.93 thf(zip_derived_cl55, plain,
% 0.60/0.93 (![X0 : $i > $o]:
% 0.60/0.93 (((!!) @ (^[Y0 : $i]: (mimpl @ (mbox @ rel @ X0) @ X0 @ Y0))))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl54, '0'])).
% 0.60/0.93 thf(zip_derived_cl56, plain,
% 0.60/0.93 (![X0 : $i > $o]: (((!!) @ (mimpl @ (mbox @ rel @ X0) @ X0)))),
% 0.60/0.93 inference('comb-normalize', [status(thm)], [zip_derived_cl55])).
% 0.60/0.93 thf(zip_derived_cl57, plain,
% 0.60/0.93 (![X0 : $i > $o, X2 : $i]: (mimpl @ (mbox @ rel @ X0) @ X0 @ X2)),
% 0.60/0.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl56])).
% 0.60/0.93 thf(mimpl, axiom,(( mimpl @ (X0)@ (X1)@ (X2)) =
% 0.60/0.93 ((mor @ (mnot @ X0) @ X1 @ X2)))).
% 0.60/0.93 thf('1', plain,
% 0.60/0.93 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 0.60/0.93 ( ( mimpl @ X0 @ X1 @ X2 ) = ( mor @ ( mnot @ X0 ) @ X1 @ X2 ) )),
% 0.60/0.93 define([status(thm)])).
% 0.60/0.93 thf(zip_derived_cl58, plain,
% 0.60/0.93 (![X0 : $i > $o, X2 : $i]: (mor @ (mnot @ (mbox @ rel @ X0)) @ X0 @ X2)),
% 0.60/0.93 inference('rw', [status(thm)], [zip_derived_cl57, '1'])).
% 0.60/0.93 thf(mor, axiom, (mor @ X0 @ X1 @ X2) =>
% 0.60/0.93 ((((X1 @ X2) | (X0 @ X2))) = ($true))).
% 0.60/0.93 thf('2', plain,
% 0.60/0.93 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
% 0.60/0.93 ( ( mor @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) | ( X1 @ X2 ) ) )),
% 0.60/0.93 inference('rw.lit', [status(esa)], [mor])).
% 0.60/0.93 thf(zip_derived_cl59, plain,
% 0.60/0.93 (![X0 : $i > $o, X1 : $i]:
% 0.60/0.93 (((X0 @ X1) | (mnot @ (mbox @ rel @ X0) @ X1)))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl58, '2'])).
% 0.60/0.93 thf(zip_derived_cl60, plain,
% 0.60/0.93 (![X0 : $i > $o, X1 : $i]:
% 0.60/0.93 ( (X0 @ X1) | (mnot @ (mbox @ rel @ X0) @ X1))),
% 0.60/0.93 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl59])).
% 0.60/0.93 thf(mnot, axiom, (mnot @ X0 @ X1) => ((X0 @ X1) != ($true))).
% 0.60/0.93 thf('3', plain,
% 0.60/0.93 (![X0:( $i > $o ),X1:$i]: ( ( mnot @ X0 @ X1 ) <=> ( ~( X0 @ X1 ) ) )),
% 0.60/0.93 inference('rw.lit', [status(esa)], [mnot])).
% 0.60/0.93 thf(zip_derived_cl61, plain,
% 0.60/0.93 (![X0 : $i > $o, X1 : $i]: (~ (mbox @ rel @ X0 @ X1) | (X0 @ X1))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl60, '3'])).
% 0.60/0.93 thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) =>
% 0.60/0.93 ((((!!) @ (^[Y0 : $i]: (((X0 @ X2 @ Y0) => (X1 @ Y0)))))) != ($true))).
% 0.60/0.93 thf('4', plain,
% 0.60/0.93 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 0.60/0.93 ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=>
% 0.60/0.93 ( ~( ![X7:$i]: ( ( X0 @ X2 @ X7 ) => ( X1 @ X7 ) ) ) ) )),
% 0.60/0.93 inference('rw.lit', [status(esa)], [mbox])).
% 0.60/0.93 thf(zip_derived_cl62, plain,
% 0.60/0.93 (![X0 : $i > $o, X1 : $i]:
% 0.60/0.93 (~ (((!!) @ (^[Y0 : $i]: (((rel @ X1 @ Y0) => (X0 @ Y0))))))
% 0.60/0.93 | (X0 @ X1))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl61, '4'])).
% 0.60/0.93 thf(zip_derived_cl63, plain,
% 0.60/0.93 (![X0 : $i > $o, X1 : $i]:
% 0.60/0.93 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ X1))) @ X0))))
% 0.60/0.93 | (X0 @ X1))),
% 0.60/0.93 inference('comb-normalize', [status(thm)], [zip_derived_cl62])).
% 0.60/0.93 thf(zip_derived_cl64, plain,
% 0.60/0.93 (![X0 : $i > $o, X1 : $i]:
% 0.60/0.93 (~ (((rel @ X1 @ ('#sk5' @ X0 @ X1)) => (X0 @ ('#sk5' @ X0 @ X1))))
% 0.60/0.93 | (X0 @ X1))),
% 0.60/0.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl63])).
% 0.60/0.93 thf(zip_derived_cl66, plain,
% 0.60/0.93 (![X0 : $i > $o, X1 : $i]: (~ (X0 @ ('#sk5' @ X0 @ X1)) | (X0 @ X1))),
% 0.60/0.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])).
% 0.60/0.93 thf(zip_derived_cl65, plain,
% 0.60/0.93 (![X0 : $i > $o, X1 : $i]:
% 0.60/0.93 ( (rel @ X1 @ ('#sk5' @ X0 @ X1)) | (X0 @ X1))),
% 0.60/0.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])).
% 0.60/0.93 thf(zip_derived_cl156, plain,
% 0.60/0.93 (![X0 : $i]: ( (rel @ X0 @ X0) | (rel @ X0 @ X0))),
% 0.60/0.93 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl65])).
% 0.60/0.93 thf(zip_derived_cl173, plain, (![X0 : $i]: (rel @ X0 @ X0)),
% 0.60/0.93 inference('simplify', [status(thm)], [zip_derived_cl156])).
% 0.60/0.93 thf(idem, conjecture,
% 0.60/0.93 (iclval @
% 0.60/0.93 ( icl_impl @
% 0.60/0.93 ( icl_says @
% 0.60/0.93 ( icl_princ @ a ) @
% 0.60/0.93 ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @
% 0.60/0.93 ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ))).
% 0.60/0.93 thf(zf_stmt_0, negated_conjecture,
% 0.60/0.93 (~( iclval @
% 0.60/0.93 ( icl_impl @
% 0.60/0.93 ( icl_says @
% 0.60/0.93 ( icl_princ @ a ) @
% 0.60/0.93 ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @
% 0.60/0.93 ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) )),
% 0.60/0.93 inference('cnf.neg', [status(esa)], [idem])).
% 0.60/0.93 thf(zip_derived_cl4, plain,
% 0.60/0.93 (~ (iclval @
% 0.60/0.93 (icl_impl @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))),
% 0.60/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.93 thf(icl_s4_valid, axiom,(( iclval @ (X0)) = ((mvalid @ X0)))).
% 0.60/0.93 thf('5', plain, (![X0:( $i > $o )]: ( ( iclval @ X0 ) = ( mvalid @ X0 ) )),
% 0.60/0.93 define([status(thm)])).
% 0.60/0.93 thf(zip_derived_cl5, plain,
% 0.60/0.93 (~ (mvalid @
% 0.60/0.93 (icl_impl @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))))),
% 0.60/0.93 inference('rw', [status(thm)], [zip_derived_cl4, '5'])).
% 0.60/0.93 thf(mvalid, axiom, ~ (mvalid @ X0) =>
% 0.60/0.93 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))).
% 0.60/0.93 thf('6', plain,
% 0.60/0.93 (![X0:( $i > $o )]:
% 0.60/0.93 ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )),
% 0.60/0.93 inference('rw.lit', [status(esa)], [mvalid])).
% 0.60/0.93 thf(zip_derived_cl6, plain,
% 0.60/0.93 (~ (((!!) @ (^[Y0 : $i]:
% 0.60/0.93 (icl_impl @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ Y0))))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl5, '6'])).
% 0.60/0.93 thf(zip_derived_cl7, plain,
% 0.60/0.93 (~ (((!!) @ (icl_impl @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)))))),
% 0.60/0.93 inference('comb-normalize', [status(thm)], [zip_derived_cl6])).
% 0.60/0.93 thf(zip_derived_cl8, plain,
% 0.60/0.93 (~ (icl_impl @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk1')),
% 0.60/0.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])).
% 0.60/0.93 thf(icl_impl, axiom,(( icl_impl @ (X0)@ (X1)@ (X2)) =
% 0.60/0.93 ((mbox @ rel @ (mimpl @ X0 @ X1) @ X2)))).
% 0.60/0.93 thf('7', plain,
% 0.60/0.93 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 0.60/0.93 ( ( icl_impl @ X0 @ X1 @ X2 ) =
% 0.60/0.93 ( mbox @ rel @ ( mimpl @ X0 @ X1 ) @ X2 ) )),
% 0.60/0.93 define([status(thm)])).
% 0.60/0.93 thf(zip_derived_cl9, plain,
% 0.60/0.93 (~ (mbox @ rel @
% 0.60/0.93 (mimpl @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 '#sk1')),
% 0.60/0.93 inference('rw', [status(thm)], [zip_derived_cl8, '7'])).
% 0.60/0.93 thf(zip_derived_cl10, plain,
% 0.60/0.93 (~ (((!!) @ (^[Y0 : $i]:
% 0.60/0.93 (((rel @ '#sk1' @ Y0) => (mimpl @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ Y0))))))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl9, '4'])).
% 0.60/0.93 thf(zip_derived_cl11, plain,
% 0.60/0.93 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ '#sk1'))) @
% 0.60/0.93 (mimpl @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)))))))),
% 0.60/0.93 inference('comb-normalize', [status(thm)], [zip_derived_cl10])).
% 0.60/0.93 thf(zip_derived_cl12, plain,
% 0.60/0.93 (~ (((rel @ '#sk1' @ '#sk2') => (mimpl @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk2')))),
% 0.60/0.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])).
% 0.60/0.93 thf(zip_derived_cl13, plain,
% 0.60/0.93 (~ (((rel @ '#sk1' @ '#sk2') => (mor @
% 0.60/0.93 (mnot @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)))) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk2')))),
% 0.60/0.93 inference('rw', [status(thm)], [zip_derived_cl12, '1'])).
% 0.60/0.93 thf(zip_derived_cl15, plain,
% 0.60/0.93 (~ (mor @
% 0.60/0.93 (mnot @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)))) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk2')),
% 0.60/0.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])).
% 0.60/0.93 thf(mor, axiom, ~ (mor @ X0 @ X1 @ X2) =>
% 0.60/0.93 ((((X1 @ X2) | (X0 @ X2))) != ($true))).
% 0.60/0.93 thf('8', plain,
% 0.60/0.93 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
% 0.60/0.93 ( ( ~( mor @ X0 @ X1 @ X2 ) ) <=> ( ~( ( X1 @ X2 ) | ( X0 @ X2 ) ) ) )),
% 0.60/0.93 inference('rw.lit', [status(esa)], [mor])).
% 0.60/0.93 thf(zip_derived_cl16, plain,
% 0.60/0.93 (~ (((icl_says @ (icl_princ @ a) @ (icl_atom @ s) @ '#sk2') | (mnot @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 '#sk2')))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl15, '8'])).
% 0.60/0.93 thf(icl_says, axiom,(( icl_says @ (X0)@ (X1)@ (X2)) =
% 0.60/0.93 ((mbox @ rel @ (mor @ X0 @ X1) @ X2)))).
% 0.60/0.93 thf('9', plain,
% 0.60/0.93 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 0.60/0.93 ( ( icl_says @ X0 @ X1 @ X2 ) = ( mbox @ rel @ ( mor @ X0 @ X1 ) @ X2 ) )),
% 0.60/0.93 define([status(thm)])).
% 0.60/0.93 thf(zip_derived_cl17, plain,
% 0.60/0.93 (~ (((mbox @ rel @ (mor @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk2') |
% 0.60/0.93 (mnot @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 '#sk2')))),
% 0.60/0.93 inference('rw', [status(thm)], [zip_derived_cl16, '9'])).
% 0.60/0.93 thf(zip_derived_cl18, plain,
% 0.60/0.93 (~ (mbox @ rel @ (mor @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk2')),
% 0.60/0.93 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])).
% 0.60/0.93 thf(zip_derived_cl20, plain,
% 0.60/0.93 (~ (((!!) @ (^[Y0 : $i]:
% 0.60/0.93 (((rel @ '#sk2' @ Y0) => (mor @ (icl_princ @ a) @
% 0.60/0.93 (icl_atom @ s) @ Y0))))))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl18, '4'])).
% 0.60/0.93 thf(zip_derived_cl22, plain,
% 0.60/0.93 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ '#sk2'))) @
% 0.60/0.93 (mor @ (icl_princ @ a) @ (icl_atom @ s))))))),
% 0.60/0.93 inference('comb-normalize', [status(thm)], [zip_derived_cl20])).
% 0.60/0.93 thf(zip_derived_cl23, plain,
% 0.60/0.93 (~ (((rel @ '#sk2' @ '#sk3') => (mor @ (icl_princ @ a) @
% 0.60/0.93 (icl_atom @ s) @ '#sk3')))),
% 0.60/0.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl22])).
% 0.60/0.93 thf(zip_derived_cl27, plain,
% 0.60/0.93 (~ (mor @ (icl_princ @ a) @ (icl_atom @ s) @ '#sk3')),
% 0.60/0.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
% 0.60/0.93 thf(zip_derived_cl30, plain,
% 0.60/0.93 (~ (((icl_atom @ s @ '#sk3') | (icl_princ @ a @ '#sk3')))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl27, '8'])).
% 0.60/0.93 thf(icl_atom, axiom,(( icl_atom @ (X0)@ (X1)) = ((mbox @ rel @ X0 @ X1)))).
% 0.60/0.93 thf('10', plain,
% 0.60/0.93 (![X1:$i,X0:( $i > $o )]:
% 0.60/0.93 ( ( icl_atom @ X0 @ X1 ) = ( mbox @ rel @ X0 @ X1 ) )),
% 0.60/0.93 define([status(thm)])).
% 0.60/0.93 thf(icl_princ, axiom,(( icl_princ @ (X0)@ (X1)) = ((X0 @ X1)))).
% 0.60/0.93 thf('11', plain,
% 0.60/0.93 (![X0:( $i > $o ),X1:$i]: ( ( icl_princ @ X0 @ X1 ) = ( X0 @ X1 ) )),
% 0.60/0.93 define([status(thm)])).
% 0.60/0.93 thf(zip_derived_cl32, plain,
% 0.60/0.93 (~ (((mbox @ rel @ s @ '#sk3') | (a @ '#sk3')))),
% 0.60/0.93 inference('rw', [status(thm)], [zip_derived_cl30, '10', '11'])).
% 0.60/0.93 thf(zip_derived_cl33, plain, (~ (mbox @ rel @ s @ '#sk3')),
% 0.60/0.93 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl32])).
% 0.60/0.93 thf(zip_derived_cl36, plain,
% 0.60/0.93 (~ (((!!) @ (^[Y0 : $i]: (((rel @ '#sk3' @ Y0) => (s @ Y0))))))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl33, '4'])).
% 0.60/0.93 thf(zip_derived_cl39, plain,
% 0.60/0.93 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ '#sk3'))) @ s))))),
% 0.60/0.93 inference('comb-normalize', [status(thm)], [zip_derived_cl36])).
% 0.60/0.93 thf(zip_derived_cl40, plain, (~ (((rel @ '#sk3' @ '#sk4') => (s @ '#sk4')))),
% 0.60/0.93 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl39])).
% 0.60/0.93 thf(zip_derived_cl42, plain, ( (rel @ '#sk3' @ '#sk4')),
% 0.60/0.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])).
% 0.60/0.93 thf(zip_derived_cl19, plain,
% 0.60/0.93 (~ (mnot @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 '#sk2')),
% 0.60/0.93 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])).
% 0.60/0.93 thf(mnot, axiom, ~ (mnot @ X0 @ X1) => ((X0 @ X1) = ($true))).
% 0.60/0.93 thf('12', plain,
% 0.60/0.93 (![X0:( $i > $o ),X1:$i]: ( ( ~( mnot @ X0 @ X1 ) ) <=> ( X0 @ X1 ) )),
% 0.60/0.93 inference('rw.lit', [status(esa)], [mnot])).
% 0.60/0.93 thf(zip_derived_cl21, plain,
% 0.60/0.93 ( (icl_says @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ '#sk2')),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl19, '12'])).
% 0.60/0.93 thf(zip_derived_cl24, plain,
% 0.60/0.93 ( (mbox @ rel @
% 0.60/0.93 (mor @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @
% 0.60/0.93 '#sk2')),
% 0.60/0.93 inference('rw', [status(thm)], [zip_derived_cl21, '9'])).
% 0.60/0.93 thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
% 0.60/0.93 ((((!!) @ (^[Y0 : $i]: (((X0 @ X2 @ Y0) => (X1 @ Y0)))))) = ($true))).
% 0.60/0.93 thf('13', plain,
% 0.60/0.93 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 0.60/0.93 ( ( mbox @ X0 @ X1 @ X2 ) <=>
% 0.60/0.93 ( ![X7:$i]: ( ( X0 @ X2 @ X7 ) => ( X1 @ X7 ) ) ) )),
% 0.60/0.93 inference('rw.lit', [status(esa)], [mbox])).
% 0.60/0.93 thf(zip_derived_cl25, plain,
% 0.60/0.93 ( (((!!) @ (^[Y0 : $i]:
% 0.60/0.93 (((rel @ '#sk2' @ Y0) => (mor @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ Y0))))))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl24, '13'])).
% 0.60/0.93 thf(zip_derived_cl28, plain,
% 0.60/0.93 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ '#sk2'))) @
% 0.60/0.93 (mor @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)))))))),
% 0.60/0.93 inference('comb-normalize', [status(thm)], [zip_derived_cl25])).
% 0.60/0.93 thf(zip_derived_cl29, plain,
% 0.60/0.93 (![X2 : $i]:
% 0.60/0.93 (((rel @ '#sk2' @ X2) => (mor @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ X2)))),
% 0.60/0.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])).
% 0.60/0.93 thf(zip_derived_cl31, plain,
% 0.60/0.93 (![X2 : $i]:
% 0.60/0.93 (~ (rel @ '#sk2' @ X2)
% 0.60/0.93 | (mor @ (icl_princ @ a) @
% 0.60/0.93 (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ X2))),
% 0.60/0.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])).
% 0.60/0.93 thf(zip_derived_cl35, plain,
% 0.60/0.93 (![X0 : $i]:
% 0.60/0.93 ( (((icl_says @ (icl_princ @ a) @ (icl_atom @ s) @ X0) | (icl_princ @
% 0.60/0.93 a @ X0)))
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl31, '2'])).
% 0.60/0.93 thf(zip_derived_cl37, plain,
% 0.60/0.93 (![X0 : $i]:
% 0.60/0.93 ( (((mbox @ rel @ (mor @ (icl_princ @ a) @ (icl_atom @ s)) @ X0) |
% 0.60/0.93 (a @ X0)))
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0))),
% 0.60/0.93 inference('rw', [status(thm)], [zip_derived_cl35, '11', '9'])).
% 0.60/0.93 thf(zip_derived_cl38, plain,
% 0.60/0.93 (![X0 : $i]:
% 0.60/0.93 ( (mbox @ rel @ (mor @ (icl_princ @ a) @ (icl_atom @ s)) @ X0)
% 0.60/0.93 | (a @ X0)
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0))),
% 0.60/0.93 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl37])).
% 0.60/0.93 thf(zip_derived_cl41, plain,
% 0.60/0.93 (![X0 : $i]:
% 0.60/0.93 ( (((!!) @ (^[Y0 : $i]:
% 0.60/0.93 (((rel @ X0 @ Y0) => (mor @ (icl_princ @ a) @
% 0.60/0.93 (icl_atom @ s) @ Y0))))))
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0)
% 0.60/0.93 | (a @ X0))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl38, '13'])).
% 0.60/0.93 thf(zip_derived_cl44, plain,
% 0.60/0.93 (![X0 : $i]:
% 0.60/0.93 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ X0))) @
% 0.60/0.93 (mor @ (icl_princ @ a) @ (icl_atom @ s))))))
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0)
% 0.60/0.93 | (a @ X0))),
% 0.60/0.93 inference('comb-normalize', [status(thm)], [zip_derived_cl41])).
% 0.60/0.93 thf(zip_derived_cl45, plain,
% 0.60/0.93 (![X0 : $i, X2 : $i]:
% 0.60/0.93 ( (((rel @ X0 @ X2) => (mor @ (icl_princ @ a) @ (icl_atom @ s) @ X2)))
% 0.60/0.93 | (a @ X0)
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0))),
% 0.60/0.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl44])).
% 0.60/0.93 thf(zip_derived_cl46, plain,
% 0.60/0.93 (![X0 : $i, X2 : $i]:
% 0.60/0.93 (~ (rel @ X0 @ X2)
% 0.60/0.93 | (mor @ (icl_princ @ a) @ (icl_atom @ s) @ X2)
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0)
% 0.60/0.93 | (a @ X0))),
% 0.60/0.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])).
% 0.60/0.93 thf(zip_derived_cl47, plain,
% 0.60/0.93 (![X0 : $i, X1 : $i]:
% 0.60/0.93 ( (((icl_atom @ s @ X1) | (icl_princ @ a @ X1)))
% 0.60/0.93 | (a @ X0)
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0)
% 0.60/0.93 | ~ (rel @ X0 @ X1))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl46, '2'])).
% 0.60/0.93 thf(zip_derived_cl48, plain,
% 0.60/0.93 (![X0 : $i, X1 : $i]:
% 0.60/0.93 ( (((mbox @ rel @ s @ X1) | (a @ X1)))
% 0.60/0.93 | (a @ X0)
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0)
% 0.60/0.93 | ~ (rel @ X0 @ X1))),
% 0.60/0.93 inference('rw', [status(thm)], [zip_derived_cl47, '10', '11'])).
% 0.60/0.93 thf(zip_derived_cl49, plain,
% 0.60/0.93 (![X0 : $i, X1 : $i]:
% 0.60/0.93 ( (mbox @ rel @ s @ X1)
% 0.60/0.93 | (a @ X1)
% 0.60/0.93 | ~ (rel @ X0 @ X1)
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0)
% 0.60/0.93 | (a @ X0))),
% 0.60/0.93 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl48])).
% 0.60/0.93 thf(zip_derived_cl50, plain,
% 0.60/0.93 (![X0 : $i, X1 : $i]:
% 0.60/0.93 ( (((!!) @ (^[Y0 : $i]: (((rel @ X1 @ Y0) => (s @ Y0))))))
% 0.60/0.93 | (a @ X0)
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0)
% 0.60/0.93 | ~ (rel @ X0 @ X1)
% 0.60/0.93 | (a @ X1))),
% 0.60/0.93 inference('rw_clause', [status(thm)], [zip_derived_cl49, '13'])).
% 0.60/0.93 thf(zip_derived_cl51, plain,
% 0.60/0.93 (![X0 : $i, X1 : $i]:
% 0.60/0.93 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (rel @ X1))) @ s))))
% 0.60/0.93 | (a @ X0)
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0)
% 0.60/0.93 | ~ (rel @ X0 @ X1)
% 0.60/0.93 | (a @ X1))),
% 0.60/0.93 inference('comb-normalize', [status(thm)], [zip_derived_cl50])).
% 0.60/0.93 thf(zip_derived_cl52, plain,
% 0.60/0.93 (![X0 : $i, X1 : $i, X3 : $i]:
% 0.60/0.93 ( (((rel @ X1 @ X3) => (s @ X3)))
% 0.60/0.93 | (a @ X1)
% 0.60/0.93 | ~ (rel @ X0 @ X1)
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0)
% 0.60/0.93 | (a @ X0))),
% 0.60/0.93 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl51])).
% 0.60/0.93 thf(zip_derived_cl53, plain,
% 0.60/0.93 (![X0 : $i, X1 : $i, X3 : $i]:
% 0.60/0.93 (~ (rel @ X1 @ X3)
% 0.60/0.93 | (s @ X3)
% 0.60/0.93 | (a @ X0)
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0)
% 0.60/0.93 | ~ (rel @ X0 @ X1)
% 0.60/0.93 | (a @ X1))),
% 0.60/0.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])).
% 0.60/0.93 thf(zip_derived_cl192, plain,
% 0.60/0.93 (![X0 : $i]:
% 0.60/0.93 ( (a @ '#sk3')
% 0.60/0.93 | ~ (rel @ X0 @ '#sk3')
% 0.60/0.93 | ~ (rel @ '#sk2' @ X0)
% 0.60/0.93 | (a @ X0)
% 0.60/0.93 | (s @ '#sk4'))),
% 0.60/0.93 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl53])).
% 0.60/0.93 thf(zip_derived_cl34, plain, (~ (a @ '#sk3')),
% 0.60/0.93 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl32])).
% 0.60/0.93 thf(zip_derived_cl43, plain, (~ (s @ '#sk4')),
% 0.60/0.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])).
% 0.60/0.93 thf(zip_derived_cl214, plain,
% 0.60/0.93 (![X0 : $i]: (~ (rel @ X0 @ '#sk3') | ~ (rel @ '#sk2' @ X0) | (a @ X0))),
% 0.60/0.93 inference('demod', [status(thm)],
% 0.60/0.93 [zip_derived_cl192, zip_derived_cl34, zip_derived_cl43])).
% 0.60/0.93 thf(zip_derived_cl354, plain, (( (a @ '#sk3') | ~ (rel @ '#sk2' @ '#sk3'))),
% 0.60/0.93 inference('sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl214])).
% 0.60/0.93 thf(zip_derived_cl34, plain, (~ (a @ '#sk3')),
% 0.60/0.93 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl32])).
% 0.60/0.93 thf(zip_derived_cl26, plain, ( (rel @ '#sk2' @ '#sk3')),
% 0.60/0.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
% 0.60/0.93 thf(zip_derived_cl359, plain, ($false),
% 0.60/0.93 inference('demod', [status(thm)],
% 0.60/0.93 [zip_derived_cl354, zip_derived_cl34, zip_derived_cl26])).
% 0.60/0.93
% 0.60/0.93 % SZS output end Refutation
% 0.60/0.93
% 0.60/0.93
% 0.60/0.93 % Terminating...
% 0.62/0.99 % Runner terminated.
% 0.62/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------