%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL071-1 : 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.XUv2iIgUl1 true
% Computer : n028.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 01:35:07 PM UTC 2026
% Result : Unsatisfiable 22.16s 3.81s
% Output : Refutation 22.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL071-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XUv2iIgUl1 true
% 0.10/0.35 % Computer : n028.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 02:09:59 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Running portfolio for 300 s
% 0.10/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.12.3
% 0.13/0.37 % Running in FO mode
% 0.41/0.65 % Total configuration time : 435
% 0.41/0.65 % Estimated wc time : 1092
% 0.41/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.43/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.43/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.43/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.43/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.43/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.43/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 22.16/3.81 % Solved by fo/fo6_bce.sh.
% 22.16/3.81 % BCE start: 5
% 22.16/3.81 % BCE eliminated: 0
% 22.16/3.81 % PE start: 5
% 22.16/3.81 logic: neq
% 22.16/3.81 % PE eliminated: 0
% 22.16/3.81 % done 1521 iterations in 3.067s
% 22.16/3.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 22.16/3.81 % SZS output start Refutation
% 22.16/3.81 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 22.16/3.81 thf(implies_type, type, implies: $i > $i > $i).
% 22.16/3.81 thf(not_type, type, not: $i > $i).
% 22.16/3.81 thf(a_type, type, a: $i).
% 22.16/3.81 thf(prove_cn_2, conjecture,
% 22.16/3.81 (is_a_theorem @ ( implies @ ( implies @ ( not @ a ) @ a ) @ a ))).
% 22.16/3.81 thf(zf_stmt_0, negated_conjecture,
% 22.16/3.81 (~( is_a_theorem @ ( implies @ ( implies @ ( not @ a ) @ a ) @ a ) )),
% 22.16/3.81 inference('cnf.neg', [status(esa)], [prove_cn_2])).
% 22.16/3.81 thf(zip_derived_cl4, plain,
% 22.16/3.81 (~ (is_a_theorem @ (implies @ (implies @ (not @ a) @ a) @ a))),
% 22.16/3.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 22.16/3.81 thf(cn_19, axiom,
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 ( implies @ ( implies @ ( implies @ X @ Y ) @ Z ) @ ( implies @ Y @ Z ) ))).
% 22.16/3.81 thf(zip_derived_cl1, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 22.16/3.81 (implies @ X1 @ X2)))),
% 22.16/3.81 inference('cnf', [status(esa)], [cn_19])).
% 22.16/3.81 thf(zip_derived_cl1, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 22.16/3.81 (implies @ X1 @ X2)))),
% 22.16/3.81 inference('cnf', [status(esa)], [cn_19])).
% 22.16/3.81 thf(condensed_detachment, axiom,
% 22.16/3.81 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 22.16/3.81 ( is_a_theorem @ Y ))).
% 22.16/3.81 thf(zip_derived_cl0, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.81 | ~ (is_a_theorem @ X0)
% 22.16/3.81 | (is_a_theorem @ X1))),
% 22.16/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.81 thf(zip_derived_cl5, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 22.16/3.81 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 22.16/3.81 thf(zip_derived_cl7, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 22.16/3.81 thf(cn_37, axiom,
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 ( implies @
% 22.16/3.81 ( implies @ ( implies @ X @ Y ) @ Z ) @ ( implies @ ( not @ X ) @ Z ) ))).
% 22.16/3.81 thf(zip_derived_cl2, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 22.16/3.81 (implies @ (not @ X0) @ X2)))),
% 22.16/3.81 inference('cnf', [status(esa)], [cn_37])).
% 22.16/3.81 thf(zip_derived_cl0, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.81 | ~ (is_a_theorem @ X0)
% 22.16/3.81 | (is_a_theorem @ X1))),
% 22.16/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.81 thf(zip_derived_cl6, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0))
% 22.16/3.81 | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 22.16/3.81 thf(zip_derived_cl17, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 (implies @ (not @ X1) @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 22.16/3.81 thf(zip_derived_cl7, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 22.16/3.81 thf(zip_derived_cl17, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 (implies @ (not @ X1) @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 22.16/3.81 thf(zip_derived_cl7, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 22.16/3.81 thf(zip_derived_cl7, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 22.16/3.81 thf(zip_derived_cl0, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.81 | ~ (is_a_theorem @ X0)
% 22.16/3.81 | (is_a_theorem @ X1))),
% 22.16/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.81 thf(zip_derived_cl9, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 22.16/3.81 thf(cn_60, axiom,
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 ( implies @
% 22.16/3.81 ( implies @ X @ ( implies @ ( not @ Y ) @ Z ) ) @
% 22.16/3.81 ( implies @
% 22.16/3.81 X @
% 22.16/3.81 ( implies @
% 22.16/3.81 ( implies @ U @ Z ) @ ( implies @ ( implies @ Y @ U ) @ Z ) ) ) ))).
% 22.16/3.81 thf(zip_derived_cl3, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 (implies @ (implies @ X0 @ (implies @ (not @ X1) @ X2)) @
% 22.16/3.81 (implies @ X0 @
% 22.16/3.81 (implies @ (implies @ X3 @ X2) @
% 22.16/3.81 (implies @ (implies @ X1 @ X3) @ X2)))))),
% 22.16/3.81 inference('cnf', [status(esa)], [cn_60])).
% 22.16/3.81 thf(zip_derived_cl0, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.81 | ~ (is_a_theorem @ X0)
% 22.16/3.81 | (is_a_theorem @ X1))),
% 22.16/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.81 thf(zip_derived_cl14, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X3 @ (implies @ (not @ X2) @ X0)))
% 22.16/3.81 | (is_a_theorem @
% 22.16/3.81 (implies @ X3 @
% 22.16/3.81 (implies @ (implies @ X1 @ X0) @
% 22.16/3.81 (implies @ (implies @ X2 @ X1) @ X0)))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 22.16/3.81 thf(zip_derived_cl0, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.81 | ~ (is_a_theorem @ X0)
% 22.16/3.81 | (is_a_theorem @ X1))),
% 22.16/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.81 thf(zip_derived_cl28, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X3 @ (implies @ (not @ X2) @ X0)))
% 22.16/3.81 | ~ (is_a_theorem @ X3)
% 22.16/3.81 | (is_a_theorem @
% 22.16/3.81 (implies @ (implies @ X1 @ X0) @
% 22.16/3.81 (implies @ (implies @ X2 @ X1) @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 22.16/3.81 thf(zip_derived_cl57, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 22.16/3.81 | ~ (is_a_theorem @ X2)
% 22.16/3.81 | (is_a_theorem @
% 22.16/3.81 (implies @ (implies @ X3 @ X0) @
% 22.16/3.81 (implies @ (implies @ X1 @ X3) @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl28])).
% 22.16/3.81 thf(zip_derived_cl142, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 22.16/3.81 | (is_a_theorem @
% 22.16/3.81 (implies @ (implies @ X2 @ X0) @
% 22.16/3.81 (implies @ (implies @ X1 @ X2) @ X0))))),
% 22.16/3.81 inference('condensation', [status(thm)], [zip_derived_cl57])).
% 22.16/3.81 thf(zip_derived_cl0, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.81 | ~ (is_a_theorem @ X0)
% 22.16/3.81 | (is_a_theorem @ X1))),
% 22.16/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.81 thf(zip_derived_cl143, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 22.16/3.81 | ~ (is_a_theorem @ (implies @ X1 @ X0))
% 22.16/3.81 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 22.16/3.81 thf(zip_derived_cl149, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ (not @ X2) @ (implies @ X1 @ X0)))
% 22.16/3.81 | (is_a_theorem @
% 22.16/3.81 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl143])).
% 22.16/3.81 thf(zip_derived_cl183, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 (implies @ (implies @ X1 @ (implies @ X1 @ X0)) @
% 22.16/3.81 (implies @ X2 @ (implies @ X1 @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl149])).
% 22.16/3.81 thf(zip_derived_cl0, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.81 | ~ (is_a_theorem @ X0)
% 22.16/3.81 | (is_a_theorem @ X1))),
% 22.16/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.81 thf(zip_derived_cl234, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0)))
% 22.16/3.81 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl0])).
% 22.16/3.81 thf(zip_derived_cl247, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl234])).
% 22.16/3.81 thf(zip_derived_cl0, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.81 | ~ (is_a_theorem @ X0)
% 22.16/3.81 | (is_a_theorem @ X1))),
% 22.16/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.81 thf(zip_derived_cl270, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ X0 @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl247, zip_derived_cl0])).
% 22.16/3.81 thf(zip_derived_cl7, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 22.16/3.81 thf(zip_derived_cl285, plain,
% 22.16/3.81 (![X2 : $i]: (is_a_theorem @ (implies @ X2 @ X2))),
% 22.16/3.81 inference('s_sup+', [status(thm)], [zip_derived_cl270, zip_derived_cl7])).
% 22.16/3.81 thf(zip_derived_cl143, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 22.16/3.81 | ~ (is_a_theorem @ (implies @ X1 @ X0))
% 22.16/3.81 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 22.16/3.81 thf(zip_derived_cl362, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 22.16/3.81 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl143])).
% 22.16/3.81 thf(zip_derived_cl385, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 (implies @ (implies @ X1 @ (implies @ X2 @ (implies @ X1 @ X0))) @
% 22.16/3.81 (implies @ X2 @ (implies @ X1 @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl362])).
% 22.16/3.81 thf(zip_derived_cl285, plain,
% 22.16/3.81 (![X2 : $i]: (is_a_theorem @ (implies @ X2 @ X2))),
% 22.16/3.81 inference('s_sup+', [status(thm)], [zip_derived_cl270, zip_derived_cl7])).
% 22.16/3.81 thf(zip_derived_cl6, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0))
% 22.16/3.81 | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 22.16/3.81 thf(zip_derived_cl365, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl6])).
% 22.16/3.81 thf(zip_derived_cl7, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 22.16/3.81 thf(zip_derived_cl362, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 22.16/3.81 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl143])).
% 22.16/3.81 thf(zip_derived_cl372, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 (implies @ (implies @ X0 @ (implies @ X1 @ (not @ X0))) @
% 22.16/3.81 (implies @ X1 @ (not @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl362])).
% 22.16/3.81 thf(zip_derived_cl0, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.81 | ~ (is_a_theorem @ X0)
% 22.16/3.81 | (is_a_theorem @ X1))),
% 22.16/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.81 thf(zip_derived_cl695, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ (not @ X0))))
% 22.16/3.81 | (is_a_theorem @ (implies @ X1 @ (not @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl372, zip_derived_cl0])).
% 22.16/3.81 thf(zip_derived_cl714, plain,
% 22.16/3.81 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl365, zip_derived_cl695])).
% 22.16/3.81 thf(zip_derived_cl17, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 (implies @ (not @ X1) @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 22.16/3.81 thf(zip_derived_cl234, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0)))
% 22.16/3.81 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl0])).
% 22.16/3.81 thf(zip_derived_cl264, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 (implies @ X2 @ (implies @ (not @ X1) @ (implies @ X1 @ X0))))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl234])).
% 22.16/3.81 thf(zip_derived_cl285, plain,
% 22.16/3.81 (![X2 : $i]: (is_a_theorem @ (implies @ X2 @ X2))),
% 22.16/3.81 inference('s_sup+', [status(thm)], [zip_derived_cl270, zip_derived_cl7])).
% 22.16/3.81 thf(zip_derived_cl362, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 22.16/3.81 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl143])).
% 22.16/3.81 thf(zip_derived_cl371, plain,
% 22.16/3.81 (![X0 : $i]:
% 22.16/3.81 (is_a_theorem @ (implies @ (implies @ X0 @ (not @ X0)) @ (not @ X0)))),
% 22.16/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl362])).
% 22.16/3.81 thf(zip_derived_cl2, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.81 (is_a_theorem @
% 22.16/3.81 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 22.16/3.81 (implies @ (not @ X0) @ X2)))),
% 22.16/3.81 inference('cnf', [status(esa)], [cn_37])).
% 22.16/3.81 thf(zip_derived_cl28, plain,
% 22.16/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.16/3.81 (~ (is_a_theorem @ (implies @ X3 @ (implies @ (not @ X2) @ X0)))
% 22.16/3.82 | ~ (is_a_theorem @ X3)
% 22.16/3.82 | (is_a_theorem @
% 22.16/3.82 (implies @ (implies @ X1 @ X0) @
% 22.16/3.82 (implies @ (implies @ X2 @ X1) @ X0))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 22.16/3.82 thf(zip_derived_cl67, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0))
% 22.16/3.82 | (is_a_theorem @
% 22.16/3.82 (implies @ (implies @ X3 @ X0) @
% 22.16/3.82 (implies @ (implies @ X1 @ X3) @ X0))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl28])).
% 22.16/3.82 thf(zip_derived_cl405, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (is_a_theorem @
% 22.16/3.82 (implies @ (implies @ X1 @ (not @ X0)) @
% 22.16/3.82 (implies @ (implies @ X0 @ X1) @ (not @ X0))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl371, zip_derived_cl67])).
% 22.16/3.82 thf(zip_derived_cl0, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.82 | ~ (is_a_theorem @ X0)
% 22.16/3.82 | (is_a_theorem @ X1))),
% 22.16/3.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.82 thf(zip_derived_cl581, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ X1 @ (not @ X0)))
% 22.16/3.82 | (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ (not @ X0))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl405, zip_derived_cl0])).
% 22.16/3.82 thf(zip_derived_cl0, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.82 | ~ (is_a_theorem @ X0)
% 22.16/3.82 | (is_a_theorem @ X1))),
% 22.16/3.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.82 thf(zip_derived_cl587, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ X1 @ (not @ X0)))
% 22.16/3.82 | ~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.82 | (is_a_theorem @ (not @ X0)))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl581, zip_derived_cl0])).
% 22.16/3.82 thf(zip_derived_cl620, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.82 (~ (is_a_theorem @
% 22.16/3.82 (implies @ (implies @ (not @ X1) @ (implies @ X1 @ X0)) @
% 22.16/3.82 (not @ X2)))
% 22.16/3.82 | (is_a_theorem @ (not @ X2)))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl264, zip_derived_cl587])).
% 22.16/3.82 thf(zip_derived_cl725, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (is_a_theorem @
% 22.16/3.82 (not @ (not @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl714, zip_derived_cl620])).
% 22.16/3.82 thf(zip_derived_cl17, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.82 (is_a_theorem @
% 22.16/3.82 (implies @ (not @ X1) @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 22.16/3.82 thf(zip_derived_cl0, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.82 | ~ (is_a_theorem @ X0)
% 22.16/3.82 | (is_a_theorem @ X1))),
% 22.16/3.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.82 thf(zip_derived_cl31, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (not @ X1))
% 22.16/3.82 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 22.16/3.82 thf(zip_derived_cl28, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ X3 @ (implies @ (not @ X2) @ X0)))
% 22.16/3.82 | ~ (is_a_theorem @ X3)
% 22.16/3.82 | (is_a_theorem @
% 22.16/3.82 (implies @ (implies @ X1 @ X0) @
% 22.16/3.82 (implies @ (implies @ X2 @ X1) @ X0))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 22.16/3.82 thf(zip_derived_cl61, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (not @ (not @ X1)))
% 22.16/3.82 | ~ (is_a_theorem @ X2)
% 22.16/3.82 | (is_a_theorem @
% 22.16/3.82 (implies @ (implies @ X3 @ X0) @
% 22.16/3.82 (implies @ (implies @ X1 @ X3) @ X0))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl28])).
% 22.16/3.82 thf(zip_derived_cl115, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (not @ (not @ X0)))
% 22.16/3.82 | (is_a_theorem @
% 22.16/3.82 (implies @ (implies @ X2 @ X1) @
% 22.16/3.82 (implies @ (implies @ X0 @ X2) @ X1))))),
% 22.16/3.82 inference('condensation', [status(thm)], [zip_derived_cl61])).
% 22.16/3.82 thf(zip_derived_cl714, plain,
% 22.16/3.82 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl365, zip_derived_cl695])).
% 22.16/3.82 thf(zip_derived_cl247, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl234])).
% 22.16/3.82 thf(zip_derived_cl587, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ X1 @ (not @ X0)))
% 22.16/3.82 | ~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.82 | (is_a_theorem @ (not @ X0)))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl581, zip_derived_cl0])).
% 22.16/3.82 thf(zip_derived_cl616, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X0) @ (not @ X1)))
% 22.16/3.82 | (is_a_theorem @ (not @ X1)))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl247, zip_derived_cl587])).
% 22.16/3.82 thf(zip_derived_cl723, plain,
% 22.16/3.82 (![X0 : $i]: (is_a_theorem @ (not @ (not @ (implies @ X0 @ X0))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl714, zip_derived_cl616])).
% 22.16/3.82 thf(zip_derived_cl31, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (not @ X1))
% 22.16/3.82 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 22.16/3.82 thf(zip_derived_cl0, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.82 | ~ (is_a_theorem @ X0)
% 22.16/3.82 | (is_a_theorem @ X1))),
% 22.16/3.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.82 thf(zip_derived_cl33, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (not @ X1))
% 22.16/3.82 | ~ (is_a_theorem @ X2)
% 22.16/3.82 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 22.16/3.82 thf(zip_derived_cl39, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (not @ X0)) | (is_a_theorem @ (implies @ X0 @ X1)))),
% 22.16/3.82 inference('condensation', [status(thm)], [zip_derived_cl33])).
% 22.16/3.82 thf(zip_derived_cl765, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (is_a_theorem @ (implies @ (not @ (implies @ X0 @ X0)) @ X1))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl723, zip_derived_cl39])).
% 22.16/3.82 thf(zip_derived_cl362, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 22.16/3.82 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl143])).
% 22.16/3.82 thf(zip_derived_cl828, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (is_a_theorem @ (implies @ (implies @ (implies @ X1 @ X1) @ X0) @ X0))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl765, zip_derived_cl362])).
% 22.16/3.82 thf(zip_derived_cl0, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.82 | ~ (is_a_theorem @ X0)
% 22.16/3.82 | (is_a_theorem @ X1))),
% 22.16/3.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.82 thf(zip_derived_cl831, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X1) @ X0))
% 22.16/3.82 | (is_a_theorem @ X0))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl828, zip_derived_cl0])).
% 22.16/3.82 thf(zip_derived_cl903, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (not @ (not @ X1)))
% 22.16/3.82 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl831])).
% 22.16/3.82 thf(zip_derived_cl3445, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.82 (is_a_theorem @
% 22.16/3.82 (implies @
% 22.16/3.82 (implies @ (implies @ (not @ X1) @ (implies @ X1 @ X0)) @ X2) @ X2))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl725, zip_derived_cl903])).
% 22.16/3.82 thf(zip_derived_cl0, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.16/3.82 | ~ (is_a_theorem @ X0)
% 22.16/3.82 | (is_a_theorem @ X1))),
% 22.16/3.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.16/3.82 thf(zip_derived_cl6864, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.82 (~ (is_a_theorem @
% 22.16/3.82 (implies @ (implies @ (not @ X2) @ (implies @ X2 @ X1)) @ X0))
% 22.16/3.82 | (is_a_theorem @ X0))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl3445, zip_derived_cl0])).
% 22.16/3.82 thf(zip_derived_cl7291, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X1) @ X0)))),
% 22.16/3.82 inference('s_sup-', [status(thm)],
% 22.16/3.82 [zip_derived_cl385, zip_derived_cl6864])).
% 22.16/3.82 thf(zip_derived_cl149, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ (not @ X2) @ (implies @ X1 @ X0)))
% 22.16/3.82 | (is_a_theorem @
% 22.16/3.82 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl143])).
% 22.16/3.82 thf(zip_derived_cl7670, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (is_a_theorem @
% 22.16/3.82 (implies @ (implies @ X1 @ X0) @ (implies @ (not @ (not @ X1)) @ X0)))),
% 22.16/3.82 inference('s_sup-', [status(thm)],
% 22.16/3.82 [zip_derived_cl7291, zip_derived_cl149])).
% 22.16/3.82 thf(zip_derived_cl831, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X1) @ X0))
% 22.16/3.82 | (is_a_theorem @ X0))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl828, zip_derived_cl0])).
% 22.16/3.82 thf(zip_derived_cl8874, plain,
% 22.16/3.82 (![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 22.16/3.82 inference('s_sup-', [status(thm)],
% 22.16/3.82 [zip_derived_cl7670, zip_derived_cl831])).
% 22.16/3.82 thf(zip_derived_cl362, plain,
% 22.16/3.82 (![X0 : $i, X1 : $i]:
% 22.16/3.82 (~ (is_a_theorem @ (implies @ (not @ X1) @ X0))
% 22.16/3.82 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 22.16/3.82 inference('s_sup-', [status(thm)], [zip_derived_cl285, zip_derived_cl143])).
% 22.16/3.82 thf(zip_derived_cl8909, plain,
% 22.16/3.82 (![X0 : $i]:
% 22.16/3.82 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 22.16/3.82 inference('s_sup-', [status(thm)],
% 22.16/3.82 [zip_derived_cl8874, zip_derived_cl362])).
% 22.16/3.82 thf(zip_derived_cl8978, plain, ($false),
% 22.16/3.82 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl8909])).
% 22.16/3.82
% 22.16/3.82 % SZS output end Refutation
% 22.16/3.82
% 22.16/3.82
% 22.16/3.82 % Terminating...
% 22.16/3.88 % Runner terminated.
% 4.55/3.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------