%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL057-1 : 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.0rvrJV6ps8 true
% Computer : n004.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 01:35:06 PM UTC 2026
% Result : Unsatisfiable 204.15s 34.73s
% Output : Refutation 204.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL057-1 : 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.0rvrJV6ps8 true
% 0.14/0.38 % Computer : n004.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 5 20:18:00 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 % Running portfolio for 300 s
% 0.14/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39 % Number of cores: 8
% 0.14/0.40 % Python version: Python 3.12.3
% 0.14/0.40 % Running in FO mode
% 0.34/0.79 % Total configuration time : 435
% 0.34/0.79 % Estimated wc time : 1092
% 0.34/0.79 % Estimated cpu time (7 cpus) : 156.0
% 0.36/0.90 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.36/0.98 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.36/0.99 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.36/0.99 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.36/0.99 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.36/0.99 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.36/0.99 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 204.15/34.73 % Solved by fo/fo5.sh.
% 204.15/34.73 % done 5999 iterations in 33.677s
% 204.15/34.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 204.15/34.73 % SZS output start Refutation
% 204.15/34.73 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 204.15/34.73 thf(implies_type, type, implies: $i > $i > $i).
% 204.15/34.73 thf(not_type, type, not: $i > $i).
% 204.15/34.73 thf(a_type, type, a: $i).
% 204.15/34.73 thf(prove_cn_40, conjecture,
% 204.15/34.73 (is_a_theorem @ ( implies @ a @ ( not @ ( not @ a ) ) ))).
% 204.15/34.73 thf(zf_stmt_0, negated_conjecture,
% 204.15/34.73 (~( is_a_theorem @ ( implies @ a @ ( not @ ( not @ a ) ) ) )),
% 204.15/34.73 inference('cnf.neg', [status(esa)], [prove_cn_40])).
% 204.15/34.73 thf(zip_derived_cl4, plain,
% 204.15/34.73 (~ (is_a_theorem @ (implies @ a @ (not @ (not @ a))))),
% 204.15/34.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 204.15/34.73 thf(cn_2, axiom,
% 204.15/34.73 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 204.15/34.73 thf(zip_derived_cl2, plain,
% 204.15/34.73 (![X0 : $i]:
% 204.15/34.73 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 204.15/34.73 inference('cnf', [status(esa)], [cn_2])).
% 204.15/34.73 thf(zip_derived_cl2, plain,
% 204.15/34.73 (![X0 : $i]:
% 204.15/34.73 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 204.15/34.74 inference('cnf', [status(esa)], [cn_2])).
% 204.15/34.74 thf(cn_3, axiom,
% 204.15/34.74 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 204.15/34.74 thf(zip_derived_cl3, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 204.15/34.74 inference('cnf', [status(esa)], [cn_3])).
% 204.15/34.74 thf(condensed_detachment, axiom,
% 204.15/34.74 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 204.15/34.74 ( is_a_theorem @ Y ))).
% 204.15/34.74 thf(zip_derived_cl0, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 204.15/34.74 | ~ (is_a_theorem @ X0)
% 204.15/34.74 | (is_a_theorem @ X1))),
% 204.15/34.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 204.15/34.74 thf(zip_derived_cl6, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ (not @ X1) @ X0)) | ~ (is_a_theorem @ X1))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 204.15/34.74 thf(cn_1, axiom,
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 ( implies @
% 204.15/34.74 ( implies @ X @ Y ) @
% 204.15/34.74 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 204.15/34.74 thf(zip_derived_cl1, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X0 @ X1) @
% 204.15/34.74 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 204.15/34.74 inference('cnf', [status(esa)], [cn_1])).
% 204.15/34.74 thf(zip_derived_cl0, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 204.15/34.74 | ~ (is_a_theorem @ X0)
% 204.15/34.74 | (is_a_theorem @ X1))),
% 204.15/34.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 204.15/34.74 thf(zip_derived_cl7, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl14, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ X1)
% 204.15/34.74 | (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X0 @ X2) @ (implies @ (not @ X1) @ X2))))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 204.15/34.74 thf(zip_derived_cl3, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 204.15/34.74 inference('cnf', [status(esa)], [cn_3])).
% 204.15/34.74 thf(zip_derived_cl7, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl11, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 204.15/34.74 (implies @ X1 @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 204.15/34.74 thf(zip_derived_cl0, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 204.15/34.74 | ~ (is_a_theorem @ X0)
% 204.15/34.74 | (is_a_theorem @ X1))),
% 204.15/34.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 204.15/34.74 thf(zip_derived_cl15, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ X1 @ X0))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl78, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ X1)
% 204.15/34.74 | (is_a_theorem @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl15])).
% 204.15/34.74 thf(zip_derived_cl7, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl82, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ X1)
% 204.15/34.74 | (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @
% 204.15/34.74 (implies @ X2 @ X3))))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl7])).
% 204.15/34.74 thf(zip_derived_cl2, plain,
% 204.15/34.74 (![X0 : $i]:
% 204.15/34.74 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 204.15/34.74 inference('cnf', [status(esa)], [cn_2])).
% 204.15/34.74 thf(zip_derived_cl7, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl12, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X0 @ X1) @
% 204.15/34.74 (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 204.15/34.74 thf(zip_derived_cl7, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl18, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @
% 204.15/34.74 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2) @
% 204.15/34.74 (implies @ (implies @ X1 @ X0) @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl7])).
% 204.15/34.74 thf(zip_derived_cl0, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 204.15/34.74 | ~ (is_a_theorem @ X0)
% 204.15/34.74 | (is_a_theorem @ X1))),
% 204.15/34.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 204.15/34.74 thf(zip_derived_cl150, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 204.15/34.74 | ~ (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ (implies @ (not @ X2) @ X2) @ X1) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl554, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ X2)
% 204.15/34.74 | (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl150])).
% 204.15/34.74 thf(zip_derived_cl18, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @
% 204.15/34.74 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2) @
% 204.15/34.74 (implies @ (implies @ X1 @ X0) @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl7])).
% 204.15/34.74 thf(zip_derived_cl1, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X0 @ X1) @
% 204.15/34.74 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 204.15/34.74 inference('cnf', [status(esa)], [cn_1])).
% 204.15/34.74 thf(zip_derived_cl7, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl13, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @
% 204.15/34.74 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 204.15/34.74 X3) @
% 204.15/34.74 (implies @ (implies @ X1 @ X2) @ X3)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 204.15/34.74 thf(zip_derived_cl0, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 204.15/34.74 | ~ (is_a_theorem @ X0)
% 204.15/34.74 | (is_a_theorem @ X1))),
% 204.15/34.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 204.15/34.74 thf(zip_derived_cl57, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 204.15/34.74 | ~ (is_a_theorem @
% 204.15/34.74 (implies @
% 204.15/34.74 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl153, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X1 @ (implies @ (not @ X2) @ X2)) @
% 204.15/34.74 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl57])).
% 204.15/34.74 thf(zip_derived_cl0, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 204.15/34.74 | ~ (is_a_theorem @ X0)
% 204.15/34.74 | (is_a_theorem @ X1))),
% 204.15/34.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 204.15/34.74 thf(zip_derived_cl4361, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X2) @ X2))))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl153, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl4431, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ X1)
% 204.15/34.74 | (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X0 @ X2) @
% 204.15/34.74 (implies @ (implies @ X1 @ X0) @ X2))))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl554, zip_derived_cl4361])).
% 204.15/34.74 thf(zip_derived_cl0, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 204.15/34.74 | ~ (is_a_theorem @ X0)
% 204.15/34.74 | (is_a_theorem @ X1))),
% 204.15/34.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 204.15/34.74 thf(zip_derived_cl11338, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ X2)
% 204.15/34.74 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl4431, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl11451, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 ( (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @ X0))
% 204.15/34.74 | ~ (is_a_theorem @ X1))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11338])).
% 204.15/34.74 thf(zip_derived_cl57, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 204.15/34.74 | ~ (is_a_theorem @
% 204.15/34.74 (implies @
% 204.15/34.74 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl16956, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 204.15/34.74 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X1) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl11451, zip_derived_cl57])).
% 204.15/34.74 thf(zip_derived_cl18176, plain,
% 204.15/34.74 (![X0 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ (not @ X0) @ (implies @ (not @ X0) @ X0)) @ X0))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl16956])).
% 204.15/34.74 thf(zip_derived_cl11, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 204.15/34.74 (implies @ X1 @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 204.15/34.74 thf(zip_derived_cl57, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 204.15/34.74 | ~ (is_a_theorem @
% 204.15/34.74 (implies @
% 204.15/34.74 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl72, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X1 @ (not @ X2)) @
% 204.15/34.74 (implies @ X2 @ (implies @ X1 @ X0))))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl57])).
% 204.15/34.74 thf(zip_derived_cl7, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl90, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X3) @
% 204.15/34.74 (implies @ (implies @ X1 @ (not @ X2)) @ X3)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl7])).
% 204.15/34.74 thf(zip_derived_cl0, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 204.15/34.74 | ~ (is_a_theorem @ X0)
% 204.15/34.74 | (is_a_theorem @ X1))),
% 204.15/34.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 204.15/34.74 thf(zip_derived_cl1257, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X1)) @ X0))
% 204.15/34.74 | ~ (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X1 @ (implies @ X2 @ X3)) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl19164, plain,
% 204.15/34.74 (![X0 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ (not @ X0) @ (not @ (not @ X0))) @ X0))),
% 204.15/34.74 inference('sup-', [status(thm)],
% 204.15/34.74 [zip_derived_cl18176, zip_derived_cl1257])).
% 204.15/34.74 thf(zip_derived_cl2, plain,
% 204.15/34.74 (![X0 : $i]:
% 204.15/34.74 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 204.15/34.74 inference('cnf', [status(esa)], [cn_2])).
% 204.15/34.74 thf(zip_derived_cl2, plain,
% 204.15/34.74 (![X0 : $i]:
% 204.15/34.74 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 204.15/34.74 inference('cnf', [status(esa)], [cn_2])).
% 204.15/34.74 thf(zip_derived_cl15, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ X1 @ X0))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl20, plain,
% 204.15/34.74 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 204.15/34.74 thf(zip_derived_cl11338, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ X2)
% 204.15/34.74 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl4431, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl11411, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0))
% 204.15/34.74 | ~ (is_a_theorem @ X1))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl11338])).
% 204.15/34.74 thf(zip_derived_cl57, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 204.15/34.74 | ~ (is_a_theorem @
% 204.15/34.74 (implies @
% 204.15/34.74 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl11607, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 204.15/34.74 | (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl11411, zip_derived_cl57])).
% 204.15/34.74 thf(zip_derived_cl12182, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @
% 204.15/34.74 (implies @ X1 @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11607])).
% 204.15/34.74 thf(zip_derived_cl72, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X1 @ (not @ X2)) @
% 204.15/34.74 (implies @ X2 @ (implies @ X1 @ X0))))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl57])).
% 204.15/34.74 thf(zip_derived_cl15, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ X1 @ X0))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl92, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ X1 @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl15])).
% 204.15/34.74 thf(zip_derived_cl7, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl94, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @
% 204.15/34.74 (implies @ (implies @ X2 @ (implies @ (not @ X1) @ X0)) @ X3) @
% 204.15/34.74 (implies @ X1 @ X3)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl7])).
% 204.15/34.74 thf(zip_derived_cl0, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 204.15/34.74 | ~ (is_a_theorem @ X0)
% 204.15/34.74 | (is_a_theorem @ X1))),
% 204.15/34.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 204.15/34.74 thf(zip_derived_cl253, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ X1 @ X0))
% 204.15/34.74 | ~ (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X3 @ (implies @ (not @ X1) @ X2)) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl31414, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl12182, zip_derived_cl253])).
% 204.15/34.74 thf(zip_derived_cl7, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl31619, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ (implies @ X1 @ X0) @ X2) @
% 204.15/34.74 (implies @ X0 @ X2)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl31414, zip_derived_cl7])).
% 204.15/34.74 thf(zip_derived_cl0, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 204.15/34.74 | ~ (is_a_theorem @ X0)
% 204.15/34.74 | (is_a_theorem @ X1))),
% 204.15/34.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 204.15/34.74 thf(zip_derived_cl37317, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ X1 @ X0))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl31619, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl37804, plain,
% 204.15/34.74 (![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 204.15/34.74 inference('sup-', [status(thm)],
% 204.15/34.74 [zip_derived_cl19164, zip_derived_cl37317])).
% 204.15/34.74 thf(zip_derived_cl12182, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @
% 204.15/34.74 (implies @ X1 @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11607])).
% 204.15/34.74 thf(zip_derived_cl1257, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X1)) @ X0))
% 204.15/34.74 | ~ (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ X1 @ (implies @ X2 @ X3)) @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl31429, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (is_a_theorem @
% 204.15/34.74 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 204.15/34.74 inference('sup-', [status(thm)],
% 204.15/34.74 [zip_derived_cl12182, zip_derived_cl1257])).
% 204.15/34.74 thf(zip_derived_cl0, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 204.15/34.74 | ~ (is_a_theorem @ X0)
% 204.15/34.74 | (is_a_theorem @ X1))),
% 204.15/34.74 inference('cnf', [status(esa)], [condensed_detachment])).
% 204.15/34.74 thf(zip_derived_cl36542, plain,
% 204.15/34.74 (![X0 : $i, X1 : $i]:
% 204.15/34.74 ( (is_a_theorem @ (implies @ X1 @ X0))
% 204.15/34.74 | ~ (is_a_theorem @ (implies @ (not @ X0) @ (not @ X1))))),
% 204.15/34.74 inference('sup-', [status(thm)], [zip_derived_cl31429, zip_derived_cl0])).
% 204.15/34.74 thf(zip_derived_cl38010, plain,
% 204.15/34.74 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 204.15/34.74 inference('sup-', [status(thm)],
% 204.15/34.74 [zip_derived_cl37804, zip_derived_cl36542])).
% 204.15/34.74 thf(zip_derived_cl38040, plain, ($false),
% 204.15/34.74 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl38010])).
% 204.15/34.74
% 204.15/34.74 % SZS output end Refutation
% 204.15/34.74
% 204.15/34.74
% 204.15/34.74 % Terminating...
% 204.15/34.80 % Runner terminated.
% 35.81/34.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------