%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL397-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7Yk25usIov true
% Computer : n026.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 01:35:51 PM UTC 2026
% Result : Unsatisfiable 0.49s 0.79s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL397-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7Yk25usIov true
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 5 18:45:41 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.37 % Running in FO mode
% 0.46/0.67 % Total configuration time : 435
% 0.46/0.67 % Estimated wc time : 1092
% 0.46/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.79 % Solved by fo/fo6_bce.sh.
% 0.49/0.79 % BCE start: 5
% 0.49/0.79 % BCE eliminated: 0
% 0.49/0.79 % PE start: 5
% 0.49/0.79 logic: neq
% 0.49/0.79 % PE eliminated: 0
% 0.49/0.79 % done 43 iterations in 0.035s
% 0.49/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.79 % SZS output start Refutation
% 0.49/0.79 thf(y_type, type, y: $i).
% 0.49/0.79 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.49/0.79 thf(implies_type, type, implies: $i > $i > $i).
% 0.49/0.79 thf(not_type, type, not: $i > $i).
% 0.49/0.79 thf(x_type, type, x: $i).
% 0.49/0.79 thf(cn_2, axiom,
% 0.49/0.79 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 0.49/0.79 thf(zip_derived_cl2, plain,
% 0.49/0.79 (![X0 : $i]:
% 0.49/0.79 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 0.49/0.79 inference('cnf', [status(esa)], [cn_2])).
% 0.49/0.79 thf(cn_3, axiom,
% 0.49/0.79 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 0.49/0.79 thf(zip_derived_cl3, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i]:
% 0.49/0.79 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 0.49/0.79 inference('cnf', [status(esa)], [cn_3])).
% 0.49/0.79 thf(condensed_detachment, axiom,
% 0.49/0.79 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 0.49/0.79 ( is_a_theorem @ Y ))).
% 0.49/0.79 thf(zip_derived_cl0, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i]:
% 0.49/0.79 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.79 | ~ (is_a_theorem @ X0)
% 0.49/0.79 | (is_a_theorem @ X1))),
% 0.49/0.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.79 thf(zip_derived_cl7, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i]:
% 0.49/0.79 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 0.49/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.49/0.79 thf(cn_1, axiom,
% 0.49/0.79 (is_a_theorem @
% 0.49/0.79 ( implies @
% 0.49/0.79 ( implies @ X @ Y ) @
% 0.49/0.79 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 0.49/0.79 thf(zip_derived_cl1, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.79 (is_a_theorem @
% 0.49/0.79 (implies @ (implies @ X0 @ X1) @
% 0.49/0.79 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 0.49/0.79 inference('cnf', [status(esa)], [cn_1])).
% 0.49/0.79 thf(zip_derived_cl0, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i]:
% 0.49/0.79 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.79 | ~ (is_a_theorem @ X0)
% 0.49/0.79 | (is_a_theorem @ X1))),
% 0.49/0.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.79 thf(zip_derived_cl6, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.49/0.79 | (is_a_theorem @
% 0.49/0.79 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 0.49/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.49/0.79 thf(zip_derived_cl3, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i]:
% 0.49/0.79 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 0.49/0.79 inference('cnf', [status(esa)], [cn_3])).
% 0.49/0.79 thf(zip_derived_cl6, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.49/0.79 | (is_a_theorem @
% 0.49/0.79 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 0.49/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.49/0.79 thf(zip_derived_cl0, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i]:
% 0.49/0.79 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.79 | ~ (is_a_theorem @ X0)
% 0.49/0.79 | (is_a_theorem @ X1))),
% 0.49/0.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.79 thf(zip_derived_cl11, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.49/0.79 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.49/0.79 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.49/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 0.49/0.79 thf(zip_derived_cl12, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.79 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 0.49/0.79 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 0.49/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 0.49/0.79 thf(zip_derived_cl22, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.79 (~ (is_a_theorem @ (implies @ X1 @ (not @ X2)))
% 0.49/0.79 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 0.49/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 0.49/0.79 thf(zip_derived_cl45, plain,
% 0.49/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.79 (~ (is_a_theorem @ X1)
% 0.49/0.79 | (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X1) @ X2))))),
% 0.49/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl22])).
% 0.49/0.80 thf(zip_derived_cl11, plain,
% 0.49/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.80 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.49/0.80 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.49/0.80 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.49/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 0.49/0.80 thf(zip_derived_cl55, plain,
% 0.49/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.49/0.80 (~ (is_a_theorem @ X1)
% 0.49/0.80 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3))
% 0.49/0.80 | (is_a_theorem @ (implies @ X2 @ X3)))),
% 0.49/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl11])).
% 0.49/0.80 thf(zip_derived_cl129, plain,
% 0.49/0.80 (![X0 : $i, X1 : $i]:
% 0.49/0.80 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.49/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl55])).
% 0.49/0.80 thf(prove_cn_63, conjecture,
% 0.49/0.80 (is_a_theorem @ ( implies @ x @ ( implies @ y @ y ) ))).
% 0.49/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.49/0.80 (~( is_a_theorem @ ( implies @ x @ ( implies @ y @ y ) ) )),
% 0.49/0.80 inference('cnf.neg', [status(esa)], [prove_cn_63])).
% 0.49/0.80 thf(zip_derived_cl4, plain,
% 0.49/0.80 (~ (is_a_theorem @ (implies @ x @ (implies @ y @ y)))),
% 0.49/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.80 thf(zip_derived_cl149, plain, (~ (is_a_theorem @ (implies @ y @ y))),
% 0.49/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl129, zip_derived_cl4])).
% 0.49/0.80 thf(zip_derived_cl2, plain,
% 0.49/0.80 (![X0 : $i]:
% 0.49/0.80 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 0.49/0.80 inference('cnf', [status(esa)], [cn_2])).
% 0.49/0.80 thf(zip_derived_cl12, plain,
% 0.49/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.80 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 0.49/0.80 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 0.49/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 0.49/0.80 thf(zip_derived_cl20, plain,
% 0.49/0.80 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 0.49/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl12])).
% 0.49/0.80 thf(zip_derived_cl150, plain, ($false),
% 0.49/0.80 inference('demod', [status(thm)], [zip_derived_cl149, zip_derived_cl20])).
% 0.49/0.80
% 0.49/0.80 % SZS output end Refutation
% 0.49/0.80
% 0.49/0.80
% 0.49/0.80 % Terminating...
% 0.50/0.86 % Runner terminated.
% 0.50/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------