%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL075-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oOLrWPTW9J true
% Computer : n007.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 01:35:08 PM UTC 2026
% Result : Unsatisfiable 17.12s 3.29s
% Output : Refutation 17.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL075-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oOLrWPTW9J true
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 4 18:05:09 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Running portfolio for 300 s
% 0.11/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.37 % Running in FO mode
% 0.53/0.70 % Total configuration time : 435
% 0.53/0.70 % Estimated wc time : 1092
% 0.53/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.81 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.91 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.92 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.93 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.96 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/1.02 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/1.03 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 17.12/3.29 % Solved by fo/fo7.sh.
% 17.12/3.29 % done 879 iterations in 2.304s
% 17.12/3.29 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.12/3.29 % SZS output start Refutation
% 17.12/3.29 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 17.12/3.29 thf(implies_type, type, implies: $i > $i > $i).
% 17.12/3.29 thf(b_type, type, b: $i).
% 17.12/3.29 thf(a_type, type, a: $i).
% 17.12/3.29 thf(not_type, type, not: $i > $i).
% 17.12/3.29 thf(prove_cn_3, conjecture,
% 17.12/3.29 (is_a_theorem @ ( implies @ a @ ( implies @ ( not @ a ) @ b ) ))).
% 17.12/3.29 thf(zf_stmt_0, negated_conjecture,
% 17.12/3.29 (~( is_a_theorem @ ( implies @ a @ ( implies @ ( not @ a ) @ b ) ) )),
% 17.12/3.29 inference('cnf.neg', [status(esa)], [prove_cn_3])).
% 17.12/3.29 thf(zip_derived_cl2, plain,
% 17.12/3.29 (~ (is_a_theorem @ (implies @ a @ (implies @ (not @ a) @ b)))),
% 17.12/3.29 inference('cnf', [status(esa)], [zf_stmt_0])).
% 17.12/3.29 thf(cn_CAMeredith, axiom,
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 ( implies @
% 17.12/3.29 ( implies @
% 17.12/3.29 ( implies @
% 17.12/3.29 ( implies @
% 17.12/3.29 ( implies @ X @ Y ) @ ( implies @ ( not @ Z ) @ ( not @ U ) ) ) @
% 17.12/3.29 Z ) @
% 17.12/3.29 V ) @
% 17.12/3.29 ( implies @ ( implies @ V @ X ) @ ( implies @ U @ X ) ) ))).
% 17.12/3.29 thf(zip_derived_cl1, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ X0 @ X1) @
% 17.12/3.29 (implies @ (not @ X2) @ (not @ X3))) @
% 17.12/3.29 X2) @
% 17.12/3.29 X4) @
% 17.12/3.29 (implies @ (implies @ X4 @ X0) @ (implies @ X3 @ X0))))),
% 17.12/3.29 inference('cnf', [status(esa)], [cn_CAMeredith])).
% 17.12/3.29 thf(zip_derived_cl1, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ X0 @ X1) @
% 17.12/3.29 (implies @ (not @ X2) @ (not @ X3))) @
% 17.12/3.29 X2) @
% 17.12/3.29 X4) @
% 17.12/3.29 (implies @ (implies @ X4 @ X0) @ (implies @ X3 @ X0))))),
% 17.12/3.29 inference('cnf', [status(esa)], [cn_CAMeredith])).
% 17.12/3.29 thf(condensed_detachment, axiom,
% 17.12/3.29 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 17.12/3.29 ( is_a_theorem @ Y ))).
% 17.12/3.29 thf(zip_derived_cl0, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i]:
% 17.12/3.29 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 17.12/3.29 | ~ (is_a_theorem @ X0)
% 17.12/3.29 | (is_a_theorem @ X1))),
% 17.12/3.29 inference('cnf', [status(esa)], [condensed_detachment])).
% 17.12/3.29 thf(zip_derived_cl3, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 ( (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 17.12/3.29 | ~ (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ X0 @ X4) @
% 17.12/3.29 (implies @ (not @ X3) @ (not @ X1))) @
% 17.12/3.29 X3) @
% 17.12/3.29 X2)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl4, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 17.12/3.29 (implies @ X0 @ X4)) @
% 17.12/3.29 (implies @ X3 @ (implies @ X0 @ X4))))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 17.12/3.29 thf(zip_derived_cl3, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 ( (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 17.12/3.29 | ~ (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ X0 @ X4) @
% 17.12/3.29 (implies @ (not @ X3) @ (not @ X1))) @
% 17.12/3.29 X3) @
% 17.12/3.29 X2)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl6, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ X2 @ (implies @ (not @ X1) @ X0)) @ X3) @
% 17.12/3.29 (implies @ X1 @ X3)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 17.12/3.29 thf(zip_derived_cl3, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 ( (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 17.12/3.29 | ~ (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ X0 @ X4) @
% 17.12/3.29 (implies @ (not @ X3) @ (not @ X1))) @
% 17.12/3.29 X3) @
% 17.12/3.29 X2)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl34, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X3 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ (implies @ X0 @ X0) @ X3) @
% 17.12/3.29 (implies @ X1 @ X3)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 17.12/3.29 thf(zip_derived_cl34, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X3 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ (implies @ X0 @ X0) @ X3) @
% 17.12/3.29 (implies @ X1 @ X3)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 17.12/3.29 thf(zip_derived_cl0, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i]:
% 17.12/3.29 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 17.12/3.29 | ~ (is_a_theorem @ X0)
% 17.12/3.29 | (is_a_theorem @ X1))),
% 17.12/3.29 inference('cnf', [status(esa)], [condensed_detachment])).
% 17.12/3.29 thf(zip_derived_cl53, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.12/3.29 ( (is_a_theorem @ (implies @ X1 @ X0))
% 17.12/3.29 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X2) @ X0)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl67, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.12/3.29 (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ (implies @ X0 @ X0))))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl53])).
% 17.12/3.29 thf(zip_derived_cl0, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i]:
% 17.12/3.29 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 17.12/3.29 | ~ (is_a_theorem @ X0)
% 17.12/3.29 | (is_a_theorem @ X1))),
% 17.12/3.29 inference('cnf', [status(esa)], [condensed_detachment])).
% 17.12/3.29 thf(zip_derived_cl111, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.12/3.29 ( (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))
% 17.12/3.29 | ~ (is_a_theorem @ X2))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl4, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 17.12/3.29 (implies @ X0 @ X4)) @
% 17.12/3.29 (implies @ X3 @ (implies @ X0 @ X4))))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 17.12/3.29 thf(zip_derived_cl6, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ X2 @ (implies @ (not @ X1) @ X0)) @ X3) @
% 17.12/3.29 (implies @ X1 @ X3)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 17.12/3.29 thf(zip_derived_cl0, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i]:
% 17.12/3.29 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 17.12/3.29 | ~ (is_a_theorem @ X0)
% 17.12/3.29 | (is_a_theorem @ X1))),
% 17.12/3.29 inference('cnf', [status(esa)], [condensed_detachment])).
% 17.12/3.29 thf(zip_derived_cl33, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 17.12/3.29 ( (is_a_theorem @ (implies @ X1 @ X0))
% 17.12/3.29 | ~ (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ X3 @ (implies @ (not @ X1) @ X2)) @ X0)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl38, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @ X1 @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl33])).
% 17.12/3.29 thf(zip_derived_cl123, plain,
% 17.12/3.29 (![X3 : $i, X4 : $i]:
% 17.12/3.29 (is_a_theorem @ (implies @ X4 @ (implies @ X3 @ X3)))),
% 17.12/3.29 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl38])).
% 17.12/3.29 thf(zip_derived_cl34, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X3 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ (implies @ X0 @ X0) @ X3) @
% 17.12/3.29 (implies @ X1 @ X3)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 17.12/3.29 thf(zip_derived_cl4, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 17.12/3.29 (implies @ X0 @ X4)) @
% 17.12/3.29 (implies @ X3 @ (implies @ X0 @ X4))))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 17.12/3.29 thf(zip_derived_cl0, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i]:
% 17.12/3.29 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 17.12/3.29 | ~ (is_a_theorem @ X0)
% 17.12/3.29 | (is_a_theorem @ X1))),
% 17.12/3.29 inference('cnf', [status(esa)], [condensed_detachment])).
% 17.12/3.29 thf(zip_derived_cl5, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 17.12/3.29 | ~ (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 17.12/3.29 (implies @ X1 @ X0))))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl56, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.12/3.29 (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl5])).
% 17.12/3.29 thf(zip_derived_cl0, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i]:
% 17.12/3.29 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 17.12/3.29 | ~ (is_a_theorem @ X0)
% 17.12/3.29 | (is_a_theorem @ X1))),
% 17.12/3.29 inference('cnf', [status(esa)], [condensed_detachment])).
% 17.12/3.29 thf(zip_derived_cl57, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.12/3.29 ( (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))
% 17.12/3.29 | ~ (is_a_theorem @ X2))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl0, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i]:
% 17.12/3.29 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 17.12/3.29 | ~ (is_a_theorem @ X0)
% 17.12/3.29 | (is_a_theorem @ X1))),
% 17.12/3.29 inference('cnf', [status(esa)], [condensed_detachment])).
% 17.12/3.29 thf(zip_derived_cl70, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.12/3.29 (~ (is_a_theorem @ X2)
% 17.12/3.29 | (is_a_theorem @ (implies @ X1 @ X0))
% 17.12/3.29 | ~ (is_a_theorem @ X0))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl95, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i]:
% 17.12/3.29 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 17.12/3.29 inference('condensation', [status(thm)], [zip_derived_cl70])).
% 17.12/3.29 thf(zip_derived_cl3, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 ( (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 17.12/3.29 | ~ (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ X0 @ X4) @
% 17.12/3.29 (implies @ (not @ X3) @ (not @ X1))) @
% 17.12/3.29 X3) @
% 17.12/3.29 X2)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl98, plain,
% 17.12/3.29 (![X0 : $i, X2 : $i, X4 : $i]:
% 17.12/3.29 (~ (is_a_theorem @ X0)
% 17.12/3.29 | (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ X0 @ X4) @ (implies @ X2 @ X4))))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl3])).
% 17.12/3.29 thf(zip_derived_cl3, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 ( (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 17.12/3.29 | ~ (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ X0 @ X4) @
% 17.12/3.29 (implies @ (not @ X3) @ (not @ X1))) @
% 17.12/3.29 X3) @
% 17.12/3.29 X2)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl191, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 (~ (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ X4 @ X3) @
% 17.12/3.29 (implies @ (not @ X0) @ (not @ X2))))
% 17.12/3.29 | (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ (implies @ X1 @ X0) @ X4) @
% 17.12/3.29 (implies @ X2 @ X4))))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl3])).
% 17.12/3.29 thf(zip_derived_cl485, plain,
% 17.12/3.29 (![X0 : $i, X2 : $i, X3 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ (implies @ X3 @ X0) @ X2) @
% 17.12/3.29 (implies @ X0 @ X2)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl191])).
% 17.12/3.29 thf(zip_derived_cl485, plain,
% 17.12/3.29 (![X0 : $i, X2 : $i, X3 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ (implies @ X3 @ X0) @ X2) @
% 17.12/3.29 (implies @ X0 @ X2)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl191])).
% 17.12/3.29 thf(zip_derived_cl3, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 17.12/3.29 ( (is_a_theorem @
% 17.12/3.29 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 17.12/3.29 | ~ (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ X0 @ X4) @
% 17.12/3.29 (implies @ (not @ X3) @ (not @ X1))) @
% 17.12/3.29 X3) @
% 17.12/3.29 X2)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl519, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X3 : $i]:
% 17.12/3.29 (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ (implies @ (not @ X0) @ (not @ X1)) @ X0) @
% 17.12/3.29 X3) @
% 17.12/3.29 (implies @ X1 @ X3)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl485, zip_derived_cl3])).
% 17.12/3.29 thf(zip_derived_cl0, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i]:
% 17.12/3.29 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 17.12/3.29 | ~ (is_a_theorem @ X0)
% 17.12/3.29 | (is_a_theorem @ X1))),
% 17.12/3.29 inference('cnf', [status(esa)], [condensed_detachment])).
% 17.12/3.29 thf(zip_derived_cl4619, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.12/3.29 ( (is_a_theorem @ (implies @ X1 @ X0))
% 17.12/3.29 | ~ (is_a_theorem @
% 17.12/3.29 (implies @
% 17.12/3.29 (implies @ (implies @ (not @ X2) @ (not @ X1)) @ X2) @ X0)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl519, zip_derived_cl0])).
% 17.12/3.29 thf(zip_derived_cl4735, plain,
% 17.12/3.29 (![X0 : $i, X1 : $i]:
% 17.12/3.29 (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X1) @ X0)))),
% 17.12/3.29 inference('sup-', [status(thm)], [zip_derived_cl485, zip_derived_cl4619])).
% 17.12/3.29 thf(zip_derived_cl4789, plain, ($false),
% 17.12/3.29 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl4735])).
% 17.12/3.29
% 17.12/3.29 % SZS output end Refutation
% 17.12/3.29
% 17.12/3.29
% 17.12/3.29 % Terminating...
% 17.84/3.33 % Runner terminated.
% 17.84/3.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------