%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL256-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CdNsVdxR4y true
% Computer : n013.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 01:35:37 PM UTC 2026
% Result : Unsatisfiable 138.91s 20.55s
% Output : Refutation 138.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL256-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CdNsVdxR4y true
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % 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 23:26:05 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
% 0.11/0.38 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.38/0.60 % Total configuration time : 435
% 0.38/0.60 % Estimated wc time : 1092
% 0.38/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.41/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.41/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.41/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.41/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.41/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 138.91/20.55 % Solved by fo/fo5.sh.
% 138.91/20.55 % done 5937 iterations in 19.759s
% 138.91/20.55 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 138.91/20.55 % SZS output start Refutation
% 138.91/20.55 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 138.91/20.55 thf(implies_type, type, implies: $i > $i > $i).
% 138.91/20.55 thf(not_type, type, not: $i > $i).
% 138.91/20.55 thf(p_type, type, p: $i).
% 138.91/20.55 thf(cn_2, axiom,
% 138.91/20.55 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 138.91/20.55 thf(zip_derived_cl2, plain,
% 138.91/20.55 (![X0 : $i]:
% 138.91/20.55 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 138.91/20.55 inference('cnf', [status(esa)], [cn_2])).
% 138.91/20.55 thf(zip_derived_cl2, plain,
% 138.91/20.55 (![X0 : $i]:
% 138.91/20.55 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 138.91/20.55 inference('cnf', [status(esa)], [cn_2])).
% 138.91/20.55 thf(cn_3, axiom,
% 138.91/20.55 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 138.91/20.55 thf(zip_derived_cl3, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 138.91/20.55 inference('cnf', [status(esa)], [cn_3])).
% 138.91/20.55 thf(condensed_detachment, axiom,
% 138.91/20.55 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 138.91/20.55 ( is_a_theorem @ Y ))).
% 138.91/20.55 thf(zip_derived_cl0, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 138.91/20.55 | ~ (is_a_theorem @ X0)
% 138.91/20.55 | (is_a_theorem @ X1))),
% 138.91/20.55 inference('cnf', [status(esa)], [condensed_detachment])).
% 138.91/20.55 thf(zip_derived_cl6, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ (not @ X1) @ X0)) | ~ (is_a_theorem @ X1))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 138.91/20.55 thf(cn_1, axiom,
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 ( implies @
% 138.91/20.55 ( implies @ X @ Y ) @
% 138.91/20.55 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 138.91/20.55 thf(zip_derived_cl1, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X0 @ X1) @
% 138.91/20.55 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 138.91/20.55 inference('cnf', [status(esa)], [cn_1])).
% 138.91/20.55 thf(zip_derived_cl0, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 138.91/20.55 | ~ (is_a_theorem @ X0)
% 138.91/20.55 | (is_a_theorem @ X1))),
% 138.91/20.55 inference('cnf', [status(esa)], [condensed_detachment])).
% 138.91/20.55 thf(zip_derived_cl7, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl14, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ X1)
% 138.91/20.55 | (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X0 @ X2) @ (implies @ (not @ X1) @ X2))))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 138.91/20.55 thf(zip_derived_cl3, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 138.91/20.55 inference('cnf', [status(esa)], [cn_3])).
% 138.91/20.55 thf(zip_derived_cl7, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl11, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 138.91/20.55 (implies @ X1 @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 138.91/20.55 thf(zip_derived_cl0, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 138.91/20.55 | ~ (is_a_theorem @ X0)
% 138.91/20.55 | (is_a_theorem @ X1))),
% 138.91/20.55 inference('cnf', [status(esa)], [condensed_detachment])).
% 138.91/20.55 thf(zip_derived_cl15, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ X1 @ X0))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl78, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ X1)
% 138.91/20.55 | (is_a_theorem @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl15])).
% 138.91/20.55 thf(zip_derived_cl7, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl82, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ X1)
% 138.91/20.55 | (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @
% 138.91/20.55 (implies @ X2 @ X3))))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl7])).
% 138.91/20.55 thf(zip_derived_cl2, plain,
% 138.91/20.55 (![X0 : $i]:
% 138.91/20.55 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 138.91/20.55 inference('cnf', [status(esa)], [cn_2])).
% 138.91/20.55 thf(zip_derived_cl7, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl12, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X0 @ X1) @
% 138.91/20.55 (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 138.91/20.55 thf(zip_derived_cl7, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl18, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @
% 138.91/20.55 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2) @
% 138.91/20.55 (implies @ (implies @ X1 @ X0) @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl7])).
% 138.91/20.55 thf(zip_derived_cl0, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 138.91/20.55 | ~ (is_a_theorem @ X0)
% 138.91/20.55 | (is_a_theorem @ X1))),
% 138.91/20.55 inference('cnf', [status(esa)], [condensed_detachment])).
% 138.91/20.55 thf(zip_derived_cl150, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 138.91/20.55 | ~ (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ (implies @ (not @ X2) @ X2) @ X1) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl554, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ X2)
% 138.91/20.55 | (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl150])).
% 138.91/20.55 thf(zip_derived_cl18, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @
% 138.91/20.55 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2) @
% 138.91/20.55 (implies @ (implies @ X1 @ X0) @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl7])).
% 138.91/20.55 thf(zip_derived_cl1, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X0 @ X1) @
% 138.91/20.55 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 138.91/20.55 inference('cnf', [status(esa)], [cn_1])).
% 138.91/20.55 thf(zip_derived_cl7, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl13, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @
% 138.91/20.55 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 138.91/20.55 X3) @
% 138.91/20.55 (implies @ (implies @ X1 @ X2) @ X3)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 138.91/20.55 thf(zip_derived_cl0, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 138.91/20.55 | ~ (is_a_theorem @ X0)
% 138.91/20.55 | (is_a_theorem @ X1))),
% 138.91/20.55 inference('cnf', [status(esa)], [condensed_detachment])).
% 138.91/20.55 thf(zip_derived_cl57, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 138.91/20.55 | ~ (is_a_theorem @
% 138.91/20.55 (implies @
% 138.91/20.55 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl153, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X1 @ (implies @ (not @ X2) @ X2)) @
% 138.91/20.55 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl57])).
% 138.91/20.55 thf(zip_derived_cl0, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 138.91/20.55 | ~ (is_a_theorem @ X0)
% 138.91/20.55 | (is_a_theorem @ X1))),
% 138.91/20.55 inference('cnf', [status(esa)], [condensed_detachment])).
% 138.91/20.55 thf(zip_derived_cl4338, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X2) @ X2))))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl153, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl4408, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ X1)
% 138.91/20.55 | (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X0 @ X2) @
% 138.91/20.55 (implies @ (implies @ X1 @ X0) @ X2))))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl554, zip_derived_cl4338])).
% 138.91/20.55 thf(zip_derived_cl0, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 138.91/20.55 | ~ (is_a_theorem @ X0)
% 138.91/20.55 | (is_a_theorem @ X1))),
% 138.91/20.55 inference('cnf', [status(esa)], [condensed_detachment])).
% 138.91/20.55 thf(zip_derived_cl11293, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ X2)
% 138.91/20.55 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl4408, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl11406, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 ( (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @ X0))
% 138.91/20.55 | ~ (is_a_theorem @ X1))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11293])).
% 138.91/20.55 thf(zip_derived_cl57, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 138.91/20.55 | ~ (is_a_theorem @
% 138.91/20.55 (implies @
% 138.91/20.55 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl16462, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 138.91/20.55 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X1) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl11406, zip_derived_cl57])).
% 138.91/20.55 thf(zip_derived_cl17480, plain,
% 138.91/20.55 (![X0 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ (not @ X0) @ (implies @ (not @ X0) @ X0)) @ X0))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl16462])).
% 138.91/20.55 thf(zip_derived_cl11, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 138.91/20.55 (implies @ X1 @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 138.91/20.55 thf(zip_derived_cl57, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 138.91/20.55 | ~ (is_a_theorem @
% 138.91/20.55 (implies @
% 138.91/20.55 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl72, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X1 @ (not @ X2)) @
% 138.91/20.55 (implies @ X2 @ (implies @ X1 @ X0))))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl57])).
% 138.91/20.55 thf(zip_derived_cl7, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl90, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X3) @
% 138.91/20.55 (implies @ (implies @ X1 @ (not @ X2)) @ X3)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl7])).
% 138.91/20.55 thf(zip_derived_cl0, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 138.91/20.55 | ~ (is_a_theorem @ X0)
% 138.91/20.55 | (is_a_theorem @ X1))),
% 138.91/20.55 inference('cnf', [status(esa)], [condensed_detachment])).
% 138.91/20.55 thf(zip_derived_cl1256, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X1)) @ X0))
% 138.91/20.55 | ~ (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X1 @ (implies @ X2 @ X3)) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl18271, plain,
% 138.91/20.55 (![X0 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ (not @ X0) @ (not @ (not @ X0))) @ X0))),
% 138.91/20.55 inference('sup-', [status(thm)],
% 138.91/20.55 [zip_derived_cl17480, zip_derived_cl1256])).
% 138.91/20.55 thf(zip_derived_cl2, plain,
% 138.91/20.55 (![X0 : $i]:
% 138.91/20.55 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 138.91/20.55 inference('cnf', [status(esa)], [cn_2])).
% 138.91/20.55 thf(zip_derived_cl2, plain,
% 138.91/20.55 (![X0 : $i]:
% 138.91/20.55 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 138.91/20.55 inference('cnf', [status(esa)], [cn_2])).
% 138.91/20.55 thf(zip_derived_cl15, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ X1 @ X0))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl20, plain,
% 138.91/20.55 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 138.91/20.55 thf(zip_derived_cl11293, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ X2)
% 138.91/20.55 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl4408, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl11366, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0))
% 138.91/20.55 | ~ (is_a_theorem @ X1))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl11293])).
% 138.91/20.55 thf(zip_derived_cl57, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 138.91/20.55 | ~ (is_a_theorem @
% 138.91/20.55 (implies @
% 138.91/20.55 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl11561, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 138.91/20.55 | (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl11366, zip_derived_cl57])).
% 138.91/20.55 thf(zip_derived_cl12119, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @
% 138.91/20.55 (implies @ X1 @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11561])).
% 138.91/20.55 thf(zip_derived_cl72, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X1 @ (not @ X2)) @
% 138.91/20.55 (implies @ X2 @ (implies @ X1 @ X0))))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl57])).
% 138.91/20.55 thf(zip_derived_cl15, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ X1 @ X0))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl92, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ X1 @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl15])).
% 138.91/20.55 thf(zip_derived_cl7, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl94, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @
% 138.91/20.55 (implies @ (implies @ X2 @ (implies @ (not @ X1) @ X0)) @ X3) @
% 138.91/20.55 (implies @ X1 @ X3)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl7])).
% 138.91/20.55 thf(zip_derived_cl0, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 138.91/20.55 | ~ (is_a_theorem @ X0)
% 138.91/20.55 | (is_a_theorem @ X1))),
% 138.91/20.55 inference('cnf', [status(esa)], [condensed_detachment])).
% 138.91/20.55 thf(zip_derived_cl253, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ X1 @ X0))
% 138.91/20.55 | ~ (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X3 @ (implies @ (not @ X1) @ X2)) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl31038, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl12119, zip_derived_cl253])).
% 138.91/20.55 thf(zip_derived_cl7, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl31241, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ (implies @ X1 @ X0) @ X2) @
% 138.91/20.55 (implies @ X0 @ X2)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl31038, zip_derived_cl7])).
% 138.91/20.55 thf(zip_derived_cl0, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 138.91/20.55 | ~ (is_a_theorem @ X0)
% 138.91/20.55 | (is_a_theorem @ X1))),
% 138.91/20.55 inference('cnf', [status(esa)], [condensed_detachment])).
% 138.91/20.55 thf(zip_derived_cl36757, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ X1 @ X0))
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl31241, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl37388, plain,
% 138.91/20.55 (![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 138.91/20.55 inference('sup-', [status(thm)],
% 138.91/20.55 [zip_derived_cl18271, zip_derived_cl36757])).
% 138.91/20.55 thf(zip_derived_cl11406, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 ( (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @ X0))
% 138.91/20.55 | ~ (is_a_theorem @ X1))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11293])).
% 138.91/20.55 thf(zip_derived_cl1256, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X1)) @ X0))
% 138.91/20.55 | ~ (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ X1 @ (implies @ X2 @ X3)) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl16494, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ X1)
% 138.91/20.55 | (is_a_theorem @
% 138.91/20.55 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ X0)))),
% 138.91/20.55 inference('sup-', [status(thm)],
% 138.91/20.55 [zip_derived_cl11406, zip_derived_cl1256])).
% 138.91/20.55 thf(zip_derived_cl0, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 138.91/20.55 | ~ (is_a_theorem @ X0)
% 138.91/20.55 | (is_a_theorem @ X1))),
% 138.91/20.55 inference('cnf', [status(esa)], [condensed_detachment])).
% 138.91/20.55 thf(zip_derived_cl21009, plain,
% 138.91/20.55 (![X0 : $i, X1 : $i]:
% 138.91/20.55 (~ (is_a_theorem @ X1)
% 138.91/20.55 | (is_a_theorem @ X0)
% 138.91/20.55 | ~ (is_a_theorem @ (implies @ (not @ X0) @ (not @ X1))))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl16494, zip_derived_cl0])).
% 138.91/20.55 thf(zip_derived_cl37595, plain,
% 138.91/20.55 (![X0 : $i]:
% 138.91/20.55 ( (is_a_theorem @ (not @ (not @ X0))) | ~ (is_a_theorem @ X0))),
% 138.91/20.55 inference('sup-', [status(thm)],
% 138.91/20.55 [zip_derived_cl37388, zip_derived_cl21009])).
% 138.91/20.55 thf(prove_not_not_implies, conjecture,
% 138.91/20.55 (is_a_theorem @ ( not @ ( not @ ( implies @ p @ p ) ) ))).
% 138.91/20.55 thf(zf_stmt_0, negated_conjecture,
% 138.91/20.55 (~( is_a_theorem @ ( not @ ( not @ ( implies @ p @ p ) ) ) )),
% 138.91/20.55 inference('cnf.neg', [status(esa)], [prove_not_not_implies])).
% 138.91/20.55 thf(zip_derived_cl4, plain,
% 138.91/20.55 (~ (is_a_theorem @ (not @ (not @ (implies @ p @ p))))),
% 138.91/20.55 inference('cnf', [status(esa)], [zf_stmt_0])).
% 138.91/20.55 thf(zip_derived_cl37762, plain, (~ (is_a_theorem @ (implies @ p @ p))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl37595, zip_derived_cl4])).
% 138.91/20.55 thf(zip_derived_cl20, plain,
% 138.91/20.55 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 138.91/20.55 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 138.91/20.55 thf(zip_derived_cl37775, plain, ($false),
% 138.91/20.55 inference('demod', [status(thm)], [zip_derived_cl37762, zip_derived_cl20])).
% 138.91/20.55
% 138.91/20.55 % SZS output end Refutation
% 138.91/20.55
% 138.91/20.55
% 138.91/20.55 % Terminating...
% 21.02/20.60 % Runner terminated.
% 21.02/20.62 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------