TSTP Solution File: LCL585^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL585^1 : 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.GKOU6nAA2r true
% Computer : n028.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 Aug 31 09:00:17 EDT 2023
% Result : Theorem 1.38s 0.79s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL585^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GKOU6nAA2r true
% 0.18/0.35 % Computer : n028.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Fri Aug 25 05:08:21 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.36 % Python version: Python 3.6.8
% 0.18/0.36 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.38/0.79 % Solved by lams/40_b.comb.sh.
% 1.38/0.79 % done 6 iterations in 0.012s
% 1.38/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/0.79 % SZS output start Refutation
% 1.38/0.79 thf(r_type, type, r: $i > $i > $o).
% 1.38/0.79 thf('#sk2_type', type, '#sk2': $i).
% 1.38/0.79 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 1.38/0.79 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 1.38/0.79 thf(a_type, type, a: $i > $o).
% 1.38/0.79 thf('#sk1_type', type, '#sk1': $i).
% 1.38/0.79 thf(b_type, type, b: $i > $o).
% 1.38/0.79 thf(mimpl_type, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 1.38/0.79 thf(mdia_type, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.38/0.79 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 1.38/0.79 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 1.38/0.79 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 1.38/0.79 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 1.38/0.79 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 1.38/0.79 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 1.38/0.79 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 1.38/0.79 thf(thm, conjecture,
% 1.38/0.79 (mvalid @
% 1.38/0.79 ( mimpl @
% 1.38/0.79 ( mdia @ r @ ( mimpl @ a @ b ) ) @
% 1.38/0.79 ( mimpl @ ( mbox @ r @ a ) @ ( mdia @ r @ b ) ) ))).
% 1.38/0.79 thf(zf_stmt_0, negated_conjecture,
% 1.38/0.79 (~( mvalid @
% 1.38/0.79 ( mimpl @
% 1.38/0.79 ( mdia @ r @ ( mimpl @ a @ b ) ) @
% 1.38/0.79 ( mimpl @ ( mbox @ r @ a ) @ ( mdia @ r @ b ) ) ) )),
% 1.38/0.79 inference('cnf.neg', [status(esa)], [thm])).
% 1.38/0.79 thf(zip_derived_cl0, plain,
% 1.38/0.79 (~ (mvalid @
% 1.38/0.79 (mimpl @ (mdia @ r @ (mimpl @ a @ b)) @
% 1.38/0.79 (mimpl @ (mbox @ r @ a) @ (mdia @ r @ b))))),
% 1.38/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.38/0.79 thf(mvalid, axiom, ~ (mvalid @ X0) =>
% 1.38/0.79 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))).
% 1.38/0.79 thf('0', plain,
% 1.38/0.79 (![X0:( $i > $o )]:
% 1.38/0.79 ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )),
% 1.38/0.79 inference('rw.lit', [status(esa)], [mvalid])).
% 1.38/0.79 thf(zip_derived_cl1, plain,
% 1.38/0.79 (~ (((!!) @ (^[Y0 : $i]:
% 1.38/0.79 (mimpl @ (mdia @ r @ (mimpl @ a @ b)) @
% 1.38/0.79 (mimpl @ (mbox @ r @ a) @ (mdia @ r @ b)) @ Y0))))),
% 1.38/0.79 inference('rw_clause', [status(thm)], [zip_derived_cl0, '0'])).
% 1.38/0.79 thf(zip_derived_cl2, plain,
% 1.38/0.79 (~ (((!!) @ (mimpl @ (mdia @ r @ (mimpl @ a @ b)) @
% 1.38/0.79 (mimpl @ (mbox @ r @ a) @ (mdia @ r @ b)))))),
% 1.38/0.79 inference('comb-normalize', [status(thm)], [zip_derived_cl1])).
% 1.38/0.79 thf(zip_derived_cl3, plain,
% 1.38/0.79 (~ (mimpl @ (mdia @ r @ (mimpl @ a @ b)) @
% 1.38/0.79 (mimpl @ (mbox @ r @ a) @ (mdia @ r @ b)) @ '#sk1')),
% 1.38/0.79 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
% 1.38/0.79 thf(mimpl, axiom,(( mimpl @ (X0)@ (X1)@ (X2)) =
% 1.38/0.79 ((mor @ (mnot @ X0) @ X1 @ X2)))).
% 1.38/0.79 thf('1', plain,
% 1.38/0.79 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 1.38/0.79 ( ( mimpl @ X0 @ X1 @ X2 ) = ( mor @ ( mnot @ X0 ) @ X1 @ X2 ) )),
% 1.38/0.79 define([status(thm)])).
% 1.38/0.79 thf(zip_derived_cl4, plain,
% 1.38/0.79 (~ (mor @ (mnot @ (mdia @ r @ (mimpl @ a @ b))) @
% 1.38/0.79 (mimpl @ (mbox @ r @ a) @ (mdia @ r @ b)) @ '#sk1')),
% 1.38/0.79 inference('rw', [status(thm)], [zip_derived_cl3, '1'])).
% 1.38/0.79 thf(mor, axiom, ~ (mor @ X0 @ X1 @ X2) =>
% 1.38/0.79 ((((X1 @ X2) | (X0 @ X2))) != ($true))).
% 1.38/0.79 thf('2', plain,
% 1.38/0.79 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
% 1.38/0.79 ( ( ~( mor @ X0 @ X1 @ X2 ) ) <=> ( ~( ( X1 @ X2 ) | ( X0 @ X2 ) ) ) )),
% 1.38/0.79 inference('rw.lit', [status(esa)], [mor])).
% 1.38/0.79 thf(zip_derived_cl5, plain,
% 1.38/0.79 (~ (((mimpl @ (mbox @ r @ a) @ (mdia @ r @ b) @ '#sk1') | (mnot @
% 1.38/0.79 (mdia @ r @ (mimpl @ a @ b)) @ '#sk1')))),
% 1.38/0.79 inference('rw_clause', [status(thm)], [zip_derived_cl4, '2'])).
% 1.38/0.79 thf(zip_derived_cl6, plain,
% 1.38/0.79 (~ (((mor @ (mnot @ (mbox @ r @ a)) @ (mdia @ r @ b) @ '#sk1') | (mnot @
% 1.38/0.79 (mdia @ r @ (mimpl @ a @ b)) @ '#sk1')))),
% 1.38/0.79 inference('rw', [status(thm)], [zip_derived_cl5, '1'])).
% 1.38/0.79 thf(zip_derived_cl8, plain,
% 1.38/0.79 (~ (mnot @ (mdia @ r @ (mimpl @ a @ b)) @ '#sk1')),
% 1.38/0.79 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl6])).
% 1.38/0.79 thf(mnot, axiom, ~ (mnot @ X0 @ X1) => ((X0 @ X1) = ($true))).
% 1.38/0.79 thf('3', plain,
% 1.38/0.79 (![X0:( $i > $o ),X1:$i]: ( ( ~( mnot @ X0 @ X1 ) ) <=> ( X0 @ X1 ) )),
% 1.38/0.79 inference('rw.lit', [status(esa)], [mnot])).
% 1.38/0.79 thf(zip_derived_cl10, plain, ( (mdia @ r @ (mimpl @ a @ b) @ '#sk1')),
% 1.38/0.79 inference('rw_clause', [status(thm)], [zip_derived_cl8, '3'])).
% 1.38/0.79 thf(mdia, axiom, (mdia @ X0 @ X1 @ X2) =>
% 1.38/0.79 ((((??) @ (^[Y0 : $i]: (((X0 @ X2 @ Y0) & (X1 @ Y0)))))) = ($true))).
% 1.38/0.79 thf('4', plain,
% 1.38/0.79 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 1.38/0.79 ( ( mdia @ X0 @ X1 @ X2 ) <=>
% 1.38/0.79 ( ?[X7:$i]: ( ( X0 @ X2 @ X7 ) & ( X1 @ X7 ) ) ) )),
% 1.38/0.79 inference('rw.lit', [status(esa)], [mdia])).
% 1.38/0.79 thf(zip_derived_cl13, plain,
% 1.38/0.79 ( (((??) @ (^[Y0 : $i]: (((r @ '#sk1' @ Y0) & (mimpl @ a @ b @ Y0))))))),
% 1.38/0.79 inference('rw_clause', [status(thm)], [zip_derived_cl10, '4'])).
% 1.38/0.79 thf(zip_derived_cl16, plain,
% 1.38/0.79 ( (((??) @ ((('#S') @ ((('#B') @ (&) @ (r @ '#sk1'))) @ (mimpl @ a @ b)))))),
% 1.38/0.79 inference('comb-normalize', [status(thm)], [zip_derived_cl13])).
% 1.38/0.79 thf(zip_derived_cl17, plain,
% 1.38/0.79 ( (((r @ '#sk1' @ '#sk2') & (mimpl @ a @ b @ '#sk2')))),
% 1.38/0.79 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl16])).
% 1.38/0.79 thf(zip_derived_cl21, plain,
% 1.38/0.79 ( (((r @ '#sk1' @ '#sk2') & (mor @ (mnot @ a) @ b @ '#sk2')))),
% 1.38/0.79 inference('rw', [status(thm)], [zip_derived_cl17, '1'])).
% 1.38/0.79 thf(zip_derived_cl22, plain, ( (r @ '#sk1' @ '#sk2')),
% 1.38/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
% 1.38/0.79 thf(zip_derived_cl7, plain,
% 1.38/0.79 (~ (mor @ (mnot @ (mbox @ r @ a)) @ (mdia @ r @ b) @ '#sk1')),
% 1.38/0.79 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl6])).
% 1.38/0.79 thf(zip_derived_cl9, plain,
% 1.38/0.79 (~ (((mdia @ r @ b @ '#sk1') | (mnot @ (mbox @ r @ a) @ '#sk1')))),
% 1.38/0.79 inference('rw_clause', [status(thm)], [zip_derived_cl7, '2'])).
% 1.38/0.79 thf(zip_derived_cl11, plain, (~ (mdia @ r @ b @ '#sk1')),
% 1.38/0.79 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl9])).
% 1.38/0.79 thf(mdia, axiom, ~ (mdia @ X0 @ X1 @ X2) =>
% 1.38/0.79 ((((??) @ (^[Y0 : $i]: (((X0 @ X2 @ Y0) & (X1 @ Y0)))))) != ($true))).
% 1.38/0.79 thf('5', plain,
% 1.38/0.79 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 1.38/0.79 ( ( ~( mdia @ X0 @ X1 @ X2 ) ) <=>
% 1.38/0.79 ( ~( ?[X7:$i]: ( ( X0 @ X2 @ X7 ) & ( X1 @ X7 ) ) ) ) )),
% 1.38/0.79 inference('rw.lit', [status(esa)], [mdia])).
% 1.38/0.79 thf(zip_derived_cl14, plain,
% 1.38/0.79 (~ (((??) @ (^[Y0 : $i]: (((r @ '#sk1' @ Y0) & (b @ Y0))))))),
% 1.38/0.79 inference('rw_clause', [status(thm)], [zip_derived_cl11, '5'])).
% 1.38/0.79 thf(zip_derived_cl18, plain,
% 1.38/0.79 (~ (((??) @ ((('#S') @ ((('#B') @ (&) @ (r @ '#sk1'))) @ b))))),
% 1.38/0.79 inference('comb-normalize', [status(thm)], [zip_derived_cl14])).
% 1.38/0.79 thf(zip_derived_cl19, plain,
% 1.38/0.79 (![X2 : $i]: ~ (((r @ '#sk1' @ X2) & (b @ X2)))),
% 1.38/0.79 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl18])).
% 1.38/0.79 thf(zip_derived_cl24, plain,
% 1.38/0.79 (![X2 : $i]: (~ (r @ '#sk1' @ X2) | ~ (b @ X2))),
% 1.38/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])).
% 1.38/0.79 thf(zip_derived_cl31, plain, (~ (b @ '#sk2')),
% 1.38/0.79 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl24])).
% 1.38/0.79 thf(zip_derived_cl23, plain, ( (mor @ (mnot @ a) @ b @ '#sk2')),
% 1.38/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
% 1.38/0.79 thf(mor, axiom, (mor @ X0 @ X1 @ X2) =>
% 1.38/0.79 ((((X1 @ X2) | (X0 @ X2))) = ($true))).
% 1.38/0.79 thf('6', plain,
% 1.38/0.79 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
% 1.38/0.79 ( ( mor @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) | ( X1 @ X2 ) ) )),
% 1.38/0.79 inference('rw.lit', [status(esa)], [mor])).
% 1.38/0.79 thf(zip_derived_cl27, plain, ( (((b @ '#sk2') | (mnot @ a @ '#sk2')))),
% 1.38/0.79 inference('rw_clause', [status(thm)], [zip_derived_cl23, '6'])).
% 1.38/0.79 thf(zip_derived_cl29, plain, (( (b @ '#sk2') | (mnot @ a @ '#sk2'))),
% 1.38/0.79 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])).
% 1.38/0.79 thf(mnot, axiom, (mnot @ X0 @ X1) => ((X0 @ X1) != ($true))).
% 1.38/0.79 thf('7', plain,
% 1.38/0.79 (![X0:( $i > $o ),X1:$i]: ( ( mnot @ X0 @ X1 ) <=> ( ~( X0 @ X1 ) ) )),
% 1.38/0.79 inference('rw.lit', [status(esa)], [mnot])).
% 1.38/0.79 thf(zip_derived_cl30, plain, ((~ (a @ '#sk2') | (b @ '#sk2'))),
% 1.38/0.79 inference('rw_clause', [status(thm)], [zip_derived_cl29, '7'])).
% 1.38/0.79 thf(zip_derived_cl22, plain, ( (r @ '#sk1' @ '#sk2')),
% 1.38/0.79 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
% 1.38/0.79 thf(zip_derived_cl12, plain, (~ (mnot @ (mbox @ r @ a) @ '#sk1')),
% 1.38/0.79 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl9])).
% 1.38/0.79 thf(zip_derived_cl15, plain, ( (mbox @ r @ a @ '#sk1')),
% 1.38/0.79 inference('rw_clause', [status(thm)], [zip_derived_cl12, '3'])).
% 1.38/0.79 thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
% 1.38/0.79 ((((!!) @ (^[Y0 : $i]: (((X0 @ X2 @ Y0) => (X1 @ Y0)))))) = ($true))).
% 1.38/0.79 thf('8', plain,
% 1.38/0.79 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 1.38/0.79 ( ( mbox @ X0 @ X1 @ X2 ) <=>
% 1.38/0.79 ( ![X7:$i]: ( ( X0 @ X2 @ X7 ) => ( X1 @ X7 ) ) ) )),
% 1.38/0.79 inference('rw.lit', [status(esa)], [mbox])).
% 1.38/0.79 thf(zip_derived_cl20, plain,
% 1.38/0.79 ( (((!!) @ (^[Y0 : $i]: (((r @ '#sk1' @ Y0) => (a @ Y0))))))),
% 1.38/0.79 inference('rw_clause', [status(thm)], [zip_derived_cl15, '8'])).
% 1.38/0.79 thf(zip_derived_cl25, plain,
% 1.38/0.79 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (r @ '#sk1'))) @ a))))),
% 1.38/0.79 inference('comb-normalize', [status(thm)], [zip_derived_cl20])).
% 1.38/0.79 thf(zip_derived_cl26, plain,
% 1.38/0.79 (![X2 : $i]: (((r @ '#sk1' @ X2) => (a @ X2)))),
% 1.38/0.79 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl25])).
% 1.38/0.79 thf(zip_derived_cl28, plain, (![X2 : $i]: (~ (r @ '#sk1' @ X2) | (a @ X2))),
% 1.38/0.79 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl26])).
% 1.38/0.79 thf(zip_derived_cl32, plain, ( (a @ '#sk2')),
% 1.38/0.79 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl28])).
% 1.38/0.79 thf(zip_derived_cl37, plain, ( (b @ '#sk2')),
% 1.38/0.79 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl32])).
% 1.38/0.79 thf(zip_derived_cl38, plain, ($false),
% 1.38/0.79 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl37])).
% 1.38/0.79
% 1.38/0.79 % SZS output end Refutation
% 1.38/0.79
% 1.38/0.79
% 1.38/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.38/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/0.79 % Terminating...
% 1.71/0.86 % Runner terminated.
% 1.71/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------