%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL112-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wsR8lbqI4q true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:35:13 PM UTC 2026
% Result : Unsatisfiable 0.49s 0.92s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL112-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wsR8lbqI4q true
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 08:06:33 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Running portfolio for 300 s
% 0.10/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Number of cores: 8
% 0.10/0.38 % Python version: Python 3.12.3
% 0.10/0.39 % Running in FO mode
% 0.44/0.66 % Total configuration time : 435
% 0.44/0.66 % Estimated wc time : 1092
% 0.44/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.92 % Solved by fo/fo1_av.sh.
% 0.49/0.92 % done 86 iterations in 0.096s
% 0.49/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.92 % SZS output start Refutation
% 0.49/0.92 thf(a_type, type, a: $i).
% 0.49/0.92 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.49/0.92 thf(implies_type, type, implies: $i > $i > $i).
% 0.49/0.92 thf(not_type, type, not: $i > $i).
% 0.49/0.92 thf(prove_mv_29, conjecture,
% 0.49/0.92 (is_a_theorem @ ( implies @ a @ ( not @ ( not @ a ) ) ))).
% 0.49/0.92 thf(zf_stmt_0, negated_conjecture,
% 0.49/0.92 (~( is_a_theorem @ ( implies @ a @ ( not @ ( not @ a ) ) ) )),
% 0.49/0.92 inference('cnf.neg', [status(esa)], [prove_mv_29])).
% 0.49/0.92 thf(zip_derived_cl5, plain,
% 0.49/0.92 (~ (is_a_theorem @ (implies @ a @ (not @ (not @ a))))),
% 0.49/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.92 thf(mv_1, axiom, (is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ))).
% 0.49/0.92 thf(zip_derived_cl1, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('cnf', [status(esa)], [mv_1])).
% 0.49/0.92 thf(condensed_detachment, axiom,
% 0.49/0.92 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 0.49/0.92 ( is_a_theorem @ Y ))).
% 0.49/0.92 thf(zip_derived_cl0, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.92 | ~ (is_a_theorem @ X0)
% 0.49/0.92 | (is_a_theorem @ X1))),
% 0.49/0.92 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.92 thf(zip_derived_cl6, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.49/0.92 thf(mv_3, axiom,
% 0.49/0.92 (is_a_theorem @
% 0.49/0.92 ( implies @
% 0.49/0.92 ( implies @ ( implies @ X @ Y ) @ Y ) @
% 0.49/0.92 ( implies @ ( implies @ Y @ X ) @ X ) ))).
% 0.49/0.92 thf(zip_derived_cl3, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (is_a_theorem @
% 0.49/0.92 (implies @ (implies @ (implies @ X0 @ X1) @ X1) @
% 0.49/0.92 (implies @ (implies @ X1 @ X0) @ X0)))),
% 0.49/0.92 inference('cnf', [status(esa)], [mv_3])).
% 0.49/0.92 thf(zip_derived_cl0, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.92 | ~ (is_a_theorem @ X0)
% 0.49/0.92 | (is_a_theorem @ X1))),
% 0.49/0.92 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.92 thf(zip_derived_cl14, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1))
% 0.49/0.92 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.49/0.92 thf(zip_derived_cl35, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ X0)
% 0.49/0.92 | (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 0.49/0.92 thf(mv_5, axiom,
% 0.49/0.92 (is_a_theorem @
% 0.49/0.92 ( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ))).
% 0.49/0.92 thf(zip_derived_cl4, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (is_a_theorem @
% 0.49/0.92 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('cnf', [status(esa)], [mv_5])).
% 0.49/0.92 thf(zip_derived_cl1, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('cnf', [status(esa)], [mv_1])).
% 0.49/0.92 thf(mv_2, axiom,
% 0.49/0.92 (is_a_theorem @
% 0.49/0.92 ( implies @
% 0.49/0.92 ( implies @ X @ Y ) @
% 0.49/0.92 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 0.49/0.92 thf(zip_derived_cl2, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.92 (is_a_theorem @
% 0.49/0.92 (implies @ (implies @ X0 @ X1) @
% 0.49/0.92 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 0.49/0.92 inference('cnf', [status(esa)], [mv_2])).
% 0.49/0.92 thf(zip_derived_cl0, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.92 | ~ (is_a_theorem @ X0)
% 0.49/0.92 | (is_a_theorem @ X1))),
% 0.49/0.92 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.92 thf(zip_derived_cl9, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.49/0.92 | (is_a_theorem @
% 0.49/0.92 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.49/0.92 thf(zip_derived_cl0, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.92 | ~ (is_a_theorem @ X0)
% 0.49/0.92 | (is_a_theorem @ X1))),
% 0.49/0.92 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.92 thf(zip_derived_cl13, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.49/0.92 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.49/0.92 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 0.49/0.92 thf(zip_derived_cl16, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 0.49/0.92 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 0.49/0.92 thf(zip_derived_cl4, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (is_a_theorem @
% 0.49/0.92 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('cnf', [status(esa)], [mv_5])).
% 0.49/0.92 thf(zip_derived_cl27, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl4])).
% 0.49/0.92 thf(zip_derived_cl13, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.49/0.92 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.49/0.92 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 0.49/0.92 thf(zip_derived_cl38, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 0.49/0.92 | (is_a_theorem @ (implies @ (not @ X1) @ X2)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl13])).
% 0.49/0.92 thf(zip_derived_cl54, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (is_a_theorem @ (implies @ (not @ (not @ X0)) @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl38])).
% 0.49/0.92 thf(zip_derived_cl13, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.49/0.92 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.49/0.92 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 0.49/0.92 thf(zip_derived_cl57, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 0.49/0.92 | (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X2)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl13])).
% 0.49/0.92 thf(zip_derived_cl235, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ X1)
% 0.49/0.92 | (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl57])).
% 0.49/0.92 thf(zip_derived_cl253, plain,
% 0.49/0.92 ((![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0)))
% 0.49/0.92 <= ((![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))))),
% 0.49/0.92 inference('split', [status(esa)], [zip_derived_cl235])).
% 0.49/0.92 thf(zip_derived_cl4, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (is_a_theorem @
% 0.49/0.92 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('cnf', [status(esa)], [mv_5])).
% 0.49/0.92 thf(zip_derived_cl0, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.92 | ~ (is_a_theorem @ X0)
% 0.49/0.92 | (is_a_theorem @ X1))),
% 0.49/0.92 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.92 thf(zip_derived_cl10, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ (not @ X0) @ (not @ X1)))
% 0.49/0.92 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.49/0.92 thf(zip_derived_cl257, plain,
% 0.49/0.92 ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (not @ (not @ X0)))))
% 0.49/0.92 <= ((![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl253, zip_derived_cl10])).
% 0.49/0.92 thf(zip_derived_cl35, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ X0)
% 0.49/0.92 | (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 0.49/0.92 thf(zip_derived_cl16, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 0.49/0.92 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 0.49/0.92 thf(zip_derived_cl71, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ X0 @ X0)))),
% 0.49/0.92 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl16])).
% 0.49/0.92 thf(zip_derived_cl74, plain,
% 0.49/0.92 ((![X1 : $i]: ~ (is_a_theorem @ X1))
% 0.49/0.92 <= ((![X1 : $i]: ~ (is_a_theorem @ X1)))),
% 0.49/0.92 inference('split', [status(esa)], [zip_derived_cl71])).
% 0.49/0.92 thf(zip_derived_cl1, plain,
% 0.49/0.92 (![X0 : $i, X1 : $i]:
% 0.49/0.92 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 0.49/0.92 inference('cnf', [status(esa)], [mv_1])).
% 0.49/0.92 thf('0', plain, (~ (![X1 : $i]: ~ (is_a_theorem @ X1))),
% 0.49/0.92 inference('s_sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl1])).
% 0.49/0.92 thf('1', plain,
% 0.49/0.92 ((![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))) |
% 0.49/0.92 (![X1 : $i]: ~ (is_a_theorem @ X1))),
% 0.49/0.92 inference('split', [status(esa)], [zip_derived_cl235])).
% 0.49/0.92 thf('2', plain,
% 0.49/0.92 ((![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0)))),
% 0.49/0.92 inference('sat_resolution*', [status(thm)], ['0', '1'])).
% 0.49/0.92 thf(zip_derived_cl262, plain,
% 0.49/0.92 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 0.49/0.92 inference('simpl_trail', [status(thm)], [zip_derived_cl257, '2'])).
% 0.49/0.92 thf(zip_derived_cl265, plain, ($false),
% 0.49/0.92 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl262])).
% 0.49/0.92
% 0.49/0.92 % SZS output end Refutation
% 0.49/0.92
% 0.49/0.92
% 0.49/0.92 % Terminating...
% 0.49/0.96 % Runner terminated.
% 0.49/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------