%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL380-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kJH9dP992N true
% Computer : n002.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 01:35:49 PM UTC 2026
% Result : Unsatisfiable 21.55s 3.79s
% Output : Refutation 21.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL380-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kJH9dP992N true
% 0.11/0.36 % Computer : n002.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
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 10:03:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.44/0.67 % Total configuration time : 435
% 0.44/0.67 % Estimated wc time : 1092
% 0.44/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.80 % /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/fo7.sh running for 63s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 21.55/3.79 % Solved by fo/fo6_bce.sh.
% 21.55/3.79 % BCE start: 5
% 21.55/3.79 % BCE eliminated: 0
% 21.55/3.79 % PE start: 5
% 21.55/3.79 logic: neq
% 21.55/3.79 % PE eliminated: 0
% 21.55/3.79 % done 990 iterations in 3.034s
% 21.55/3.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 21.55/3.79 % SZS output start Refutation
% 21.55/3.79 thf(y_type, type, y: $i).
% 21.55/3.79 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 21.55/3.79 thf(implies_type, type, implies: $i > $i > $i).
% 21.55/3.79 thf(not_type, type, not: $i > $i).
% 21.55/3.79 thf(x_type, type, x: $i).
% 21.55/3.79 thf(prove_cn_41, conjecture,
% 21.55/3.79 (is_a_theorem @
% 21.55/3.79 ( implies @ ( implies @ x @ y ) @ ( implies @ ( not @ ( not @ x ) ) @ y ) ))).
% 21.55/3.79 thf(zf_stmt_0, negated_conjecture,
% 21.55/3.79 (~( is_a_theorem @
% 21.55/3.79 ( implies @
% 21.55/3.79 ( implies @ x @ y ) @ ( implies @ ( not @ ( not @ x ) ) @ y ) ) )),
% 21.55/3.79 inference('cnf.neg', [status(esa)], [prove_cn_41])).
% 21.55/3.79 thf(zip_derived_cl4, plain,
% 21.55/3.79 (~ (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ x @ y) @ (implies @ (not @ (not @ x)) @ y)))),
% 21.55/3.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 21.55/3.79 thf(cn_2, axiom,
% 21.55/3.79 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 21.55/3.79 thf(zip_derived_cl2, plain,
% 21.55/3.79 (![X0 : $i]:
% 21.55/3.79 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 21.55/3.79 inference('cnf', [status(esa)], [cn_2])).
% 21.55/3.79 thf(zip_derived_cl2, plain,
% 21.55/3.79 (![X0 : $i]:
% 21.55/3.79 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 21.55/3.79 inference('cnf', [status(esa)], [cn_2])).
% 21.55/3.79 thf(zip_derived_cl2, plain,
% 21.55/3.79 (![X0 : $i]:
% 21.55/3.79 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 21.55/3.79 inference('cnf', [status(esa)], [cn_2])).
% 21.55/3.79 thf(cn_3, axiom,
% 21.55/3.79 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 21.55/3.79 thf(zip_derived_cl3, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 21.55/3.79 inference('cnf', [status(esa)], [cn_3])).
% 21.55/3.79 thf(condensed_detachment, axiom,
% 21.55/3.79 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 21.55/3.79 ( is_a_theorem @ Y ))).
% 21.55/3.79 thf(zip_derived_cl0, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.55/3.79 | ~ (is_a_theorem @ X0)
% 21.55/3.79 | (is_a_theorem @ X1))),
% 21.55/3.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.55/3.79 thf(zip_derived_cl7, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 21.55/3.79 thf(cn_1, axiom,
% 21.55/3.79 (is_a_theorem @
% 21.55/3.79 ( implies @
% 21.55/3.79 ( implies @ X @ Y ) @
% 21.55/3.79 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 21.55/3.79 thf(zip_derived_cl1, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ X0 @ X1) @
% 21.55/3.79 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 21.55/3.79 inference('cnf', [status(esa)], [cn_1])).
% 21.55/3.79 thf(zip_derived_cl0, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.55/3.79 | ~ (is_a_theorem @ X0)
% 21.55/3.79 | (is_a_theorem @ X1))),
% 21.55/3.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.55/3.79 thf(zip_derived_cl6, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 21.55/3.79 | (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 21.55/3.79 thf(zip_derived_cl3, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 21.55/3.79 inference('cnf', [status(esa)], [cn_3])).
% 21.55/3.79 thf(zip_derived_cl6, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 21.55/3.79 | (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 21.55/3.79 thf(zip_derived_cl0, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.55/3.79 | ~ (is_a_theorem @ X0)
% 21.55/3.79 | (is_a_theorem @ X1))),
% 21.55/3.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.55/3.79 thf(zip_derived_cl11, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 21.55/3.79 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 21.55/3.79 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 21.55/3.79 thf(zip_derived_cl14, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 21.55/3.79 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 21.55/3.79 thf(zip_derived_cl24, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ (not @ X2)))
% 21.55/3.79 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 21.55/3.79 thf(zip_derived_cl30, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ X1)
% 21.55/3.79 | (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X1) @ X2))))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl24])).
% 21.55/3.79 thf(zip_derived_cl11, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 21.55/3.79 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 21.55/3.79 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 21.55/3.79 thf(zip_derived_cl39, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ X1)
% 21.55/3.79 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3))
% 21.55/3.79 | (is_a_theorem @ (implies @ X2 @ X3)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl11])).
% 21.55/3.79 thf(zip_derived_cl161, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl39])).
% 21.55/3.79 thf(zip_derived_cl6, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 21.55/3.79 | (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 21.55/3.79 thf(zip_derived_cl11, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 21.55/3.79 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 21.55/3.79 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 21.55/3.79 thf(zip_derived_cl17, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 21.55/3.79 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 21.55/3.79 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 21.55/3.79 thf(zip_derived_cl187, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ X0)
% 21.55/3.79 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 21.55/3.79 | (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl17])).
% 21.55/3.79 thf(zip_derived_cl3340, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ X1)
% 21.55/3.79 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl187])).
% 21.55/3.79 thf(zip_derived_cl1, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ X0 @ X1) @
% 21.55/3.79 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 21.55/3.79 inference('cnf', [status(esa)], [cn_1])).
% 21.55/3.79 thf(zip_derived_cl11, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 21.55/3.79 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 21.55/3.79 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 21.55/3.79 thf(zip_derived_cl16, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.55/3.79 (~ (is_a_theorem @
% 21.55/3.79 (implies @
% 21.55/3.79 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 21.55/3.79 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 21.55/3.79 thf(zip_derived_cl3404, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 21.55/3.79 | (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl3340, zip_derived_cl16])).
% 21.55/3.79 thf(zip_derived_cl3, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 21.55/3.79 inference('cnf', [status(esa)], [cn_3])).
% 21.55/3.79 thf(zip_derived_cl17, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 21.55/3.79 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 21.55/3.79 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 21.55/3.79 thf(zip_derived_cl62, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 21.55/3.79 | (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @ X2)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl17])).
% 21.55/3.79 thf(zip_derived_cl16, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.55/3.79 (~ (is_a_theorem @
% 21.55/3.79 (implies @
% 21.55/3.79 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 21.55/3.79 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 21.55/3.79 thf(zip_derived_cl360, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.55/3.79 (~ (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ X3 @ (implies @ X2 @ X1)) @ X0))
% 21.55/3.79 | (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X3)) @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl16])).
% 21.55/3.79 thf(zip_derived_cl8053, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X2) @ X0))
% 21.55/3.79 | (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ X3 @ (not @ X1)) @ (implies @ X1 @ X0))))),
% 21.55/3.79 inference('s_sup-', [status(thm)],
% 21.55/3.79 [zip_derived_cl3404, zip_derived_cl360])).
% 21.55/3.79 thf(zip_derived_cl9083, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl8053])).
% 21.55/3.79 thf(zip_derived_cl9083, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl8053])).
% 21.55/3.79 thf(zip_derived_cl14, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 21.55/3.79 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 21.55/3.79 thf(zip_derived_cl9161, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl9083, zip_derived_cl14])).
% 21.55/3.79 thf(zip_derived_cl11, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 21.55/3.79 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 21.55/3.79 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 21.55/3.79 thf(zip_derived_cl9292, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 21.55/3.79 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl9161, zip_derived_cl11])).
% 21.55/3.79 thf(zip_derived_cl9795, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 21.55/3.79 inference('s_sup-', [status(thm)],
% 21.55/3.79 [zip_derived_cl9083, zip_derived_cl9292])).
% 21.55/3.79 thf(zip_derived_cl6, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 21.55/3.79 | (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 21.55/3.79 thf(zip_derived_cl2, plain,
% 21.55/3.79 (![X0 : $i]:
% 21.55/3.79 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 21.55/3.79 inference('cnf', [status(esa)], [cn_2])).
% 21.55/3.79 thf(zip_derived_cl17, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 21.55/3.79 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 21.55/3.79 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 21.55/3.79 thf(zip_derived_cl65, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 21.55/3.79 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl17])).
% 21.55/3.79 thf(zip_derived_cl406, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.55/3.79 (~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X2) @ X2)))
% 21.55/3.79 | (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 21.55/3.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl65])).
% 21.55/3.79 thf(zip_derived_cl10165, plain,
% 21.55/3.79 (![X0 : $i, X1 : $i]:
% 21.55/3.79 (is_a_theorem @
% 21.55/3.79 (implies @ (implies @ X0 @ X1) @ (implies @ (not @ (not @ X0)) @ X1)))),
% 21.55/3.79 inference('s_sup-', [status(thm)],
% 21.55/3.79 [zip_derived_cl9795, zip_derived_cl406])).
% 21.55/3.79 thf(zip_derived_cl10254, plain, ($false),
% 21.55/3.79 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl10165])).
% 21.55/3.79
% 21.55/3.79 % SZS output end Refutation
% 21.55/3.79
% 21.55/3.79
% 21.55/3.79 % Terminating...
% 6.74/3.82 % Runner terminated.
% 6.74/3.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------