%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ104^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G5kvmW5FFr true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:49:42 PM UTC 2025
% Result : Theorem 0.56s 0.82s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : PUZ104^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G5kvmW5FFr true
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 15:07:23 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.54/0.68 % Total configuration time : 828
% 0.54/0.68 % Estimated wc time : 1656
% 0.54/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.82 % Solved by lams/40_b.comb.sh.
% 0.56/0.82 % done 11 iterations in 0.036s
% 0.56/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.82 % SZS output start Refutation
% 0.56/0.82 thf('#sk3_type', type, '#sk3': ($i > $o) > $i).
% 0.56/0.82 thf('#sk1_type', type, '#sk1': $i).
% 0.56/0.82 thf(c1_type, type, c1: $i).
% 0.56/0.82 thf(cCKB6_NUM_type, type, cCKB6_NUM: $i > $o).
% 0.56/0.82 thf(s_type, type, s: $i > $i).
% 0.56/0.82 thf('#sk2_type', type, '#sk2': $i > $o).
% 0.56/0.82 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 0.56/0.82 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 0.56/0.82 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 0.56/0.82 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 0.56/0.82 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 0.56/0.82 thf(cCKB6_L4000, conjecture,
% 0.56/0.82 (![Xx:$i]: ( ( cCKB6_NUM @ Xx ) => ( cCKB6_NUM @ ( s @ ( s @ Xx ) ) ) ))).
% 0.56/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.82 (~( ![Xx:$i]: ( ( cCKB6_NUM @ Xx ) => ( cCKB6_NUM @ ( s @ ( s @ Xx ) ) ) ) )),
% 0.56/0.82 inference('cnf.neg', [status(esa)], [cCKB6_L4000])).
% 0.56/0.82 thf(zip_derived_cl0, plain,
% 0.56/0.82 (~ (((!!) @ (^[Y0 : $i]:
% 0.56/0.82 (((cCKB6_NUM @ Y0) => (cCKB6_NUM @ (s @ (s @ Y0))))))))),
% 0.56/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.82 thf(zip_derived_cl1, plain,
% 0.56/0.82 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ cCKB6_NUM)) @
% 0.56/0.82 ((('#B') @ cCKB6_NUM @ ((('#B') @ s @ s))))))))),
% 0.56/0.82 inference('lams2combs', [status(thm)], [zip_derived_cl0])).
% 0.56/0.82 thf(zip_derived_cl2, plain,
% 0.56/0.82 (~ (((cCKB6_NUM @ '#sk1') => (cCKB6_NUM @ (s @ (s @ '#sk1')))))),
% 0.56/0.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])).
% 0.56/0.82 thf(zip_derived_cl3, plain, ( (cCKB6_NUM @ '#sk1')),
% 0.56/0.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])).
% 0.56/0.82 thf(cCKB6_NUM_def, axiom, (cCKB6_NUM @ X0) =>
% 0.56/0.82 ((((!!) @ (^[Y0 : $i > $o]:
% 0.56/0.82 (((((((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) => (Y0 @ (s @ Y1))))))) &
% 0.56/0.82 (Y0 @ c1))) =>
% 0.56/0.82 (Y0 @ X0))))))
% 0.56/0.82 = ($true))).
% 0.56/0.82 thf('0', plain,
% 0.56/0.82 (![X0:$i]:
% 0.56/0.82 ( ( cCKB6_NUM @ X0 ) <=>
% 0.56/0.82 ( ![X5:( $i > $o )]:
% 0.56/0.82 ( ( ( ![X7:$i]: ( ( X5 @ X7 ) => ( X5 @ ( s @ X7 ) ) ) ) &
% 0.56/0.82 ( X5 @ c1 ) ) =>
% 0.56/0.82 ( X5 @ X0 ) ) ) )),
% 0.56/0.82 inference('rw.lit', [status(esa)], [cCKB6_NUM_def])).
% 0.56/0.82 thf(zip_derived_cl5, plain,
% 0.56/0.82 ( (((!!) @ (^[Y0 : $i > $o]:
% 0.56/0.82 (((((((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) => (Y0 @ (s @ Y1))))))) &
% 0.56/0.82 (Y0 @ c1))) =>
% 0.56/0.82 (Y0 @ '#sk1'))))))),
% 0.56/0.82 inference('rw_clause', [status(thm)], [zip_derived_cl3, '0'])).
% 0.56/0.82 thf(zip_derived_cl7, plain,
% 0.56/0.82 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 0.56/0.82 ((('#S') @ ((('#B') @ (&) @
% 0.56/0.82 ((('#B') @ (!!) @
% 0.56/0.82 ((('#S') @ ((('#B') @ ('#S') @
% 0.56/0.82 ((('#B') @ (=>))))) @
% 0.56/0.82 ((('#C') @ ('#B') @ s)))))))) @
% 0.56/0.82 ((('#C') @ ('#I') @ c1)))))) @
% 0.56/0.82 ((('#C') @ ('#I') @ '#sk1'))))))),
% 0.56/0.82 inference('comb-normalize', [status(thm)], [zip_derived_cl5])).
% 0.56/0.82 thf(zip_derived_cl8, plain,
% 0.56/0.82 (![X2 : $i > $o]:
% 0.56/0.82 (((((((!!) @ ((('#S') @ ((('#B') @ (=>) @ X2)) @ ((('#B') @ X2 @ s)))))) &
% 0.56/0.82 (X2 @ c1))) =>
% 0.56/0.82 (X2 @ '#sk1')))),
% 0.56/0.82 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])).
% 0.56/0.82 thf(zip_derived_cl11, plain,
% 0.56/0.82 (![X2 : $i > $o]:
% 0.56/0.82 (~ (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ X2)) @ ((('#B') @ X2 @ s)))))) &
% 0.56/0.82 (X2 @ c1)))
% 0.56/0.82 | (X2 @ '#sk1'))),
% 0.56/0.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])).
% 0.56/0.82 thf(zip_derived_cl14, plain,
% 0.56/0.82 (![X2 : $i > $o]:
% 0.56/0.82 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ X2)) @ ((('#B') @ X2 @ s))))))
% 0.56/0.82 | ~ (X2 @ c1)
% 0.56/0.82 | (X2 @ '#sk1'))),
% 0.56/0.82 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 0.56/0.82 thf(zip_derived_cl17, plain,
% 0.56/0.82 (![X2 : $i > $o]:
% 0.56/0.82 (~ (((X2 @ ('#sk3' @ X2)) => (X2 @ (s @ ('#sk3' @ X2)))))
% 0.56/0.82 | (X2 @ '#sk1')
% 0.56/0.82 | ~ (X2 @ c1))),
% 0.56/0.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])).
% 0.56/0.82 thf(zip_derived_cl19, plain,
% 0.56/0.82 (![X2 : $i > $o]: ( (X2 @ ('#sk3' @ X2)) | ~ (X2 @ c1) | (X2 @ '#sk1'))),
% 0.56/0.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])).
% 0.56/0.82 thf(zip_derived_cl4, plain, (~ (cCKB6_NUM @ (s @ (s @ '#sk1')))),
% 0.56/0.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])).
% 0.56/0.82 thf(cCKB6_NUM_def, axiom, ~ (cCKB6_NUM @ X0) =>
% 0.56/0.82 ((((!!) @ (^[Y0 : $i > $o]:
% 0.56/0.82 (((((((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) => (Y0 @ (s @ Y1))))))) &
% 0.56/0.82 (Y0 @ c1))) =>
% 0.56/0.82 (Y0 @ X0))))))
% 0.56/0.82 != ($true))).
% 0.56/0.82 thf('1', plain,
% 0.56/0.82 (![X0:$i]:
% 0.56/0.82 ( ( ~( cCKB6_NUM @ X0 ) ) <=>
% 0.56/0.82 ( ~( ![X5:( $i > $o )]:
% 0.56/0.82 ( ( ( ![X7:$i]: ( ( X5 @ X7 ) => ( X5 @ ( s @ X7 ) ) ) ) &
% 0.56/0.82 ( X5 @ c1 ) ) =>
% 0.56/0.82 ( X5 @ X0 ) ) ) ) )),
% 0.56/0.82 inference('rw.lit', [status(esa)], [cCKB6_NUM_def])).
% 0.56/0.82 thf(zip_derived_cl6, plain,
% 0.56/0.82 (~ (((!!) @ (^[Y0 : $i > $o]:
% 0.56/0.82 (((((((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) => (Y0 @ (s @ Y1))))))) &
% 0.56/0.82 (Y0 @ c1))) =>
% 0.56/0.82 (Y0 @ (s @ (s @ '#sk1'))))))))),
% 0.56/0.82 inference('rw_clause', [status(thm)], [zip_derived_cl4, '1'])).
% 0.56/0.82 thf(zip_derived_cl9, plain,
% 0.56/0.82 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 0.56/0.82 ((('#S') @ ((('#B') @ (&) @
% 0.56/0.82 ((('#B') @ (!!) @
% 0.56/0.82 ((('#S') @ ((('#B') @ ('#S') @
% 0.56/0.82 ((('#B') @ (=>))))) @
% 0.56/0.82 ((('#C') @ ('#B') @ s)))))))) @
% 0.56/0.82 ((('#C') @ ('#I') @ c1)))))) @
% 0.56/0.82 ((('#C') @ ('#I') @ (s @ (s @ '#sk1'))))))))),
% 0.56/0.82 inference('comb-normalize', [status(thm)], [zip_derived_cl6])).
% 0.56/0.82 thf(zip_derived_cl10, plain,
% 0.56/0.82 (~ (((((((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @
% 0.56/0.82 ((('#B') @ '#sk2' @ s)))))) &
% 0.56/0.82 ('#sk2' @ c1))) =>
% 0.56/0.82 ('#sk2' @ (s @ (s @ '#sk1')))))),
% 0.56/0.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
% 0.56/0.82 thf(zip_derived_cl12, plain,
% 0.56/0.82 ( (((((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @
% 0.56/0.82 ((('#B') @ '#sk2' @ s)))))) &
% 0.56/0.82 ('#sk2' @ c1)))),
% 0.56/0.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])).
% 0.56/0.82 thf(zip_derived_cl15, plain,
% 0.56/0.82 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ '#sk2')) @
% 0.56/0.82 ((('#B') @ '#sk2' @ s))))))),
% 0.56/0.82 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])).
% 0.56/0.82 thf(zip_derived_cl18, plain,
% 0.56/0.82 (![X2 : $i]: ((('#sk2' @ X2) => ('#sk2' @ (s @ X2))))),
% 0.56/0.82 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])).
% 0.56/0.82 thf(zip_derived_cl21, plain,
% 0.56/0.82 (![X2 : $i]: (~ ('#sk2' @ X2) | ('#sk2' @ (s @ X2)))),
% 0.56/0.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])).
% 0.56/0.82 thf(zip_derived_cl20, plain,
% 0.56/0.82 (![X2 : $i > $o]:
% 0.56/0.82 (~ (X2 @ (s @ ('#sk3' @ X2))) | ~ (X2 @ c1) | (X2 @ '#sk1'))),
% 0.56/0.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])).
% 0.56/0.82 thf(zip_derived_cl81, plain,
% 0.56/0.82 ((~ ('#sk2' @ ('#sk3' @ '#sk2')) | ('#sk2' @ '#sk1') | ~ ('#sk2' @ c1))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl20])).
% 0.56/0.82 thf(zip_derived_cl21, plain,
% 0.56/0.82 (![X2 : $i]: (~ ('#sk2' @ X2) | ('#sk2' @ (s @ X2)))),
% 0.56/0.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])).
% 0.56/0.82 thf(zip_derived_cl13, plain, (~ ('#sk2' @ (s @ (s @ '#sk1')))),
% 0.56/0.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])).
% 0.56/0.82 thf(zip_derived_cl22, plain, (~ ('#sk2' @ (s @ '#sk1'))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl13])).
% 0.56/0.82 thf(zip_derived_cl21, plain,
% 0.56/0.82 (![X2 : $i]: (~ ('#sk2' @ X2) | ('#sk2' @ (s @ X2)))),
% 0.56/0.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])).
% 0.56/0.82 thf(zip_derived_cl24, plain, (~ ('#sk2' @ '#sk1')),
% 0.56/0.82 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl21])).
% 0.56/0.82 thf(zip_derived_cl16, plain, ( ('#sk2' @ c1)),
% 0.56/0.82 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])).
% 0.56/0.82 thf(zip_derived_cl123, plain, (~ ('#sk2' @ ('#sk3' @ '#sk2'))),
% 0.56/0.82 inference('demod', [status(thm)],
% 0.56/0.82 [zip_derived_cl81, zip_derived_cl24, zip_derived_cl16])).
% 0.56/0.82 thf(zip_derived_cl129, plain, (( ('#sk2' @ '#sk1') | ~ ('#sk2' @ c1))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl123])).
% 0.56/0.82 thf(zip_derived_cl24, plain, (~ ('#sk2' @ '#sk1')),
% 0.56/0.82 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl21])).
% 0.56/0.82 thf(zip_derived_cl16, plain, ( ('#sk2' @ c1)),
% 0.56/0.82 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])).
% 0.56/0.82 thf(zip_derived_cl130, plain, ($false),
% 0.56/0.82 inference('demod', [status(thm)],
% 0.56/0.82 [zip_derived_cl129, zip_derived_cl24, zip_derived_cl16])).
% 0.56/0.82
% 0.56/0.82 % SZS output end Refutation
% 0.56/0.82
% 0.56/0.82
% 0.56/0.82 % Terminating...
% 1.31/0.90 % Runner terminated.
% 1.31/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------