%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL048-1 : 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.OBLS91mzFp true
% Computer : n005.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 01:35:05 PM UTC 2026
% Result : Unsatisfiable 54.65s 8.48s
% Output : Refutation 54.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL048-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OBLS91mzFp true
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 17:10:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Running portfolio for 300 s
% 0.09/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Number of cores: 8
% 0.09/0.36 % Python version: Python 3.12.3
% 0.09/0.37 % Running in FO mode
% 0.39/0.62 % Total configuration time : 435
% 0.39/0.62 % Estimated wc time : 1092
% 0.39/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 54.65/8.48 % Solved by fo/fo5.sh.
% 54.65/8.48 % done 3012 iterations in 7.673s
% 54.65/8.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 54.65/8.48 % SZS output start Refutation
% 54.65/8.48 thf(b_type, type, b: $i).
% 54.65/8.48 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 54.65/8.48 thf(implies_type, type, implies: $i > $i > $i).
% 54.65/8.48 thf(not_type, type, not: $i > $i).
% 54.65/8.48 thf(a_type, type, a: $i).
% 54.65/8.48 thf(c_type, type, c: $i).
% 54.65/8.48 thf(prove_cn_19, conjecture,
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 ( implies @ ( implies @ ( implies @ a @ b ) @ c ) @ ( implies @ b @ c ) ))).
% 54.65/8.48 thf(zf_stmt_0, negated_conjecture,
% 54.65/8.48 (~( is_a_theorem @
% 54.65/8.48 ( implies @ ( implies @ ( implies @ a @ b ) @ c ) @ ( implies @ b @ c ) ) )),
% 54.65/8.48 inference('cnf.neg', [status(esa)], [prove_cn_19])).
% 54.65/8.48 thf(zip_derived_cl4, plain,
% 54.65/8.48 (~ (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ (implies @ a @ b) @ c) @ (implies @ b @ c)))),
% 54.65/8.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 54.65/8.48 thf(cn_2, axiom,
% 54.65/8.48 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 54.65/8.48 thf(zip_derived_cl2, plain,
% 54.65/8.48 (![X0 : $i]:
% 54.65/8.48 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 54.65/8.48 inference('cnf', [status(esa)], [cn_2])).
% 54.65/8.48 thf(cn_3, axiom,
% 54.65/8.48 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 54.65/8.48 thf(zip_derived_cl3, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 54.65/8.48 inference('cnf', [status(esa)], [cn_3])).
% 54.65/8.48 thf(cn_1, axiom,
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 ( implies @
% 54.65/8.48 ( implies @ X @ Y ) @
% 54.65/8.48 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 54.65/8.48 thf(zip_derived_cl1, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X0 @ X1) @
% 54.65/8.48 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 54.65/8.48 inference('cnf', [status(esa)], [cn_1])).
% 54.65/8.48 thf(condensed_detachment, axiom,
% 54.65/8.48 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 54.65/8.48 ( is_a_theorem @ Y ))).
% 54.65/8.48 thf(zip_derived_cl0, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 54.65/8.48 | ~ (is_a_theorem @ X0)
% 54.65/8.48 | (is_a_theorem @ X1))),
% 54.65/8.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 54.65/8.48 thf(zip_derived_cl7, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl11, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 54.65/8.48 (implies @ X1 @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 54.65/8.48 thf(zip_derived_cl0, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 54.65/8.48 | ~ (is_a_theorem @ X0)
% 54.65/8.48 | (is_a_theorem @ X1))),
% 54.65/8.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 54.65/8.48 thf(zip_derived_cl15, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @ (implies @ X1 @ X0))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl20, plain,
% 54.65/8.48 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 54.65/8.48 thf(zip_derived_cl2, plain,
% 54.65/8.48 (![X0 : $i]:
% 54.65/8.48 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 54.65/8.48 inference('cnf', [status(esa)], [cn_2])).
% 54.65/8.48 thf(zip_derived_cl7, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl12, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X0 @ X1) @
% 54.65/8.48 (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 54.65/8.48 thf(zip_derived_cl7, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl18, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @
% 54.65/8.48 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2) @
% 54.65/8.48 (implies @ (implies @ X1 @ X0) @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl7])).
% 54.65/8.48 thf(zip_derived_cl1, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X0 @ X1) @
% 54.65/8.48 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 54.65/8.48 inference('cnf', [status(esa)], [cn_1])).
% 54.65/8.48 thf(zip_derived_cl7, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl13, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @
% 54.65/8.48 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 54.65/8.48 X3) @
% 54.65/8.48 (implies @ (implies @ X1 @ X2) @ X3)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 54.65/8.48 thf(zip_derived_cl0, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 54.65/8.48 | ~ (is_a_theorem @ X0)
% 54.65/8.48 | (is_a_theorem @ X1))),
% 54.65/8.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 54.65/8.48 thf(zip_derived_cl60, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 54.65/8.48 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 54.65/8.48 | ~ (is_a_theorem @
% 54.65/8.48 (implies @
% 54.65/8.48 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl146, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X1 @ (implies @ (not @ X2) @ X2)) @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl60])).
% 54.65/8.48 thf(zip_derived_cl11, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 54.65/8.48 (implies @ X1 @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 54.65/8.48 thf(zip_derived_cl60, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 54.65/8.48 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 54.65/8.48 | ~ (is_a_theorem @
% 54.65/8.48 (implies @
% 54.65/8.48 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl73, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X1 @ (not @ X2)) @
% 54.65/8.48 (implies @ X2 @ (implies @ X1 @ X0))))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl60])).
% 54.65/8.48 thf(zip_derived_cl15, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @ (implies @ X1 @ X0))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl91, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @ X1 @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl15])).
% 54.65/8.48 thf(zip_derived_cl7, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl93, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @
% 54.65/8.48 (implies @ (implies @ X2 @ (implies @ (not @ X1) @ X0)) @ X3) @
% 54.65/8.48 (implies @ X1 @ X3)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl7])).
% 54.65/8.48 thf(zip_derived_cl0, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 54.65/8.48 | ~ (is_a_theorem @ X0)
% 54.65/8.48 | (is_a_theorem @ X1))),
% 54.65/8.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 54.65/8.48 thf(zip_derived_cl217, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 54.65/8.48 ( (is_a_theorem @ (implies @ X1 @ X0))
% 54.65/8.48 | ~ (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X3 @ (implies @ (not @ X1) @ X2)) @ X0)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl4842, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @ X2 @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl217])).
% 54.65/8.48 thf(zip_derived_cl20, plain,
% 54.65/8.48 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 54.65/8.48 thf(zip_derived_cl3, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 54.65/8.48 inference('cnf', [status(esa)], [cn_3])).
% 54.65/8.48 thf(zip_derived_cl0, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 54.65/8.48 | ~ (is_a_theorem @ X0)
% 54.65/8.48 | (is_a_theorem @ X1))),
% 54.65/8.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 54.65/8.48 thf(zip_derived_cl6, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 ( (is_a_theorem @ (implies @ (not @ X1) @ X0)) | ~ (is_a_theorem @ X1))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl7, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl14, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ X1)
% 54.65/8.48 | (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X0 @ X2) @ (implies @ (not @ X1) @ X2))))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 54.65/8.48 thf(zip_derived_cl15, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @ (implies @ X1 @ X0))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl36, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ X1)
% 54.65/8.48 | (is_a_theorem @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl15])).
% 54.65/8.48 thf(zip_derived_cl7, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl39, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ X1)
% 54.65/8.48 | (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @
% 54.65/8.48 (implies @ X2 @ X3))))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 54.65/8.48 thf(zip_derived_cl18, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @
% 54.65/8.48 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2) @
% 54.65/8.48 (implies @ (implies @ X1 @ X0) @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl7])).
% 54.65/8.48 thf(zip_derived_cl0, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 54.65/8.48 | ~ (is_a_theorem @ X0)
% 54.65/8.48 | (is_a_theorem @ X1))),
% 54.65/8.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 54.65/8.48 thf(zip_derived_cl143, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 54.65/8.48 | ~ (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ (implies @ (not @ X2) @ X2) @ X1) @ X0)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl296, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ X2)
% 54.65/8.48 | (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl143])).
% 54.65/8.48 thf(zip_derived_cl146, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X1 @ (implies @ (not @ X2) @ X2)) @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl60])).
% 54.65/8.48 thf(zip_derived_cl0, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 54.65/8.48 | ~ (is_a_theorem @ X0)
% 54.65/8.48 | (is_a_theorem @ X1))),
% 54.65/8.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 54.65/8.48 thf(zip_derived_cl4815, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ (not @ X2) @ X2))))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl4937, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ X1)
% 54.65/8.48 | (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X0 @ X2) @
% 54.65/8.48 (implies @ (implies @ X1 @ X0) @ X2))))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl296, zip_derived_cl4815])).
% 54.65/8.48 thf(zip_derived_cl0, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 54.65/8.48 | ~ (is_a_theorem @ X0)
% 54.65/8.48 | (is_a_theorem @ X1))),
% 54.65/8.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 54.65/8.48 thf(zip_derived_cl5011, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ X2)
% 54.65/8.48 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl4937, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl5058, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 ( (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0))
% 54.65/8.48 | ~ (is_a_theorem @ X1))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl5011])).
% 54.65/8.48 thf(zip_derived_cl1, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X0 @ X1) @
% 54.65/8.48 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 54.65/8.48 inference('cnf', [status(esa)], [cn_1])).
% 54.65/8.48 thf(zip_derived_cl5058, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 ( (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0))
% 54.65/8.48 | ~ (is_a_theorem @ X1))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl5011])).
% 54.65/8.48 thf(zip_derived_cl5011, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ X2)
% 54.65/8.48 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl4937, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl5174, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ X1)
% 54.65/8.48 | (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X0))
% 54.65/8.48 | ~ (is_a_theorem @ X2))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl5058, zip_derived_cl5011])).
% 54.65/8.48 thf(zip_derived_cl0, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 54.65/8.48 | ~ (is_a_theorem @ X0)
% 54.65/8.48 | (is_a_theorem @ X1))),
% 54.65/8.48 inference('cnf', [status(esa)], [condensed_detachment])).
% 54.65/8.48 thf(zip_derived_cl7740, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ X2)
% 54.65/8.48 | ~ (is_a_theorem @ X1)
% 54.65/8.48 | (is_a_theorem @ X0)
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl5174, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl7912, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @ (implies @ X1 @ X0))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7740])).
% 54.65/8.48 thf(zip_derived_cl8665, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (~ (is_a_theorem @ X1)
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 54.65/8.48 | (is_a_theorem @ (implies @ X2 @ X0)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl5058, zip_derived_cl7912])).
% 54.65/8.48 thf(zip_derived_cl10346, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X2 @ X0)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl4842, zip_derived_cl8665])).
% 54.65/8.48 thf(zip_derived_cl10472, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i]:
% 54.65/8.48 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl10346])).
% 54.65/8.48 thf(zip_derived_cl7, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 ( (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 54.65/8.48 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 54.65/8.48 thf(zip_derived_cl10630, plain,
% 54.65/8.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 54.65/8.48 (is_a_theorem @
% 54.65/8.48 (implies @ (implies @ (implies @ X1 @ X0) @ X2) @
% 54.65/8.48 (implies @ X0 @ X2)))),
% 54.65/8.48 inference('sup-', [status(thm)], [zip_derived_cl10472, zip_derived_cl7])).
% 54.65/8.48 thf(zip_derived_cl17677, plain, ($false),
% 54.65/8.48 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl10630])).
% 54.65/8.48
% 54.65/8.48 % SZS output end Refutation
% 54.65/8.48
% 54.65/8.48
% 54.65/8.48 % Terminating...
% 9.13/8.52 % Runner terminated.
% 9.13/8.54 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------