%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL103-1 : 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.4mGUX0e9W1 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 01:35:11 PM UTC 2026
% Result : Unsatisfiable 22.17s 3.81s
% Output : Refutation 22.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL103-1 : 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.4mGUX0e9W1 true
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 4 12:23:12 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Running portfolio for 300 s
% 0.12/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Number of cores: 8
% 0.12/0.38 % Python version: Python 3.12.3
% 0.12/0.39 % Running in FO mode
% 0.45/0.67 % Total configuration time : 435
% 0.45/0.67 % Estimated wc time : 1092
% 0.45/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 22.17/3.81 % Solved by fo/fo6_bce.sh.
% 22.17/3.81 % BCE start: 4
% 22.17/3.81 % BCE eliminated: 0
% 22.17/3.81 % PE start: 4
% 22.17/3.81 logic: neq
% 22.17/3.81 % PE eliminated: 0
% 22.17/3.81 % done 771 iterations in 3.038s
% 22.17/3.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 22.17/3.81 % SZS output start Refutation
% 22.17/3.81 thf(e_type, type, e: $i).
% 22.17/3.81 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 22.17/3.81 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 22.17/3.81 thf(c_type, type, c: $i).
% 22.17/3.81 thf(b_type, type, b: $i).
% 22.17/3.81 thf(a_type, type, a: $i).
% 22.17/3.81 thf(p_1, axiom,
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 ( equivalent @
% 22.17/3.81 ( equivalent @ ( equivalent @ X @ Y ) @ Z ) @
% 22.17/3.81 ( equivalent @
% 22.17/3.81 ( equivalent @ U @ Y ) @ ( equivalent @ ( equivalent @ X @ U ) @ Z ) ) ))).
% 22.17/3.81 thf(zip_derived_cl1, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 22.17/3.81 (equivalent @ (equivalent @ X3 @ X1) @
% 22.17/3.81 (equivalent @ (equivalent @ X0 @ X3) @ X2))))),
% 22.17/3.81 inference('cnf', [status(esa)], [p_1])).
% 22.17/3.81 thf(zip_derived_cl1, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 22.17/3.81 (equivalent @ (equivalent @ X3 @ X1) @
% 22.17/3.81 (equivalent @ (equivalent @ X0 @ X3) @ X2))))),
% 22.17/3.81 inference('cnf', [status(esa)], [p_1])).
% 22.17/3.81 thf(zip_derived_cl1, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 22.17/3.81 (equivalent @ (equivalent @ X3 @ X1) @
% 22.17/3.81 (equivalent @ (equivalent @ X0 @ X3) @ X2))))),
% 22.17/3.81 inference('cnf', [status(esa)], [p_1])).
% 22.17/3.81 thf(condensed_detachment, axiom,
% 22.17/3.81 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 22.17/3.81 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 22.17/3.81 thf(zip_derived_cl0, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 22.17/3.81 | ~ (is_a_theorem @ X0)
% 22.17/3.81 | (is_a_theorem @ X1))),
% 22.17/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.17/3.81 thf(zip_derived_cl5, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X3) @ X0))
% 22.17/3.81 | (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X3) @
% 22.17/3.81 (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 22.17/3.81 thf(q_3, axiom,
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 ( equivalent @
% 22.17/3.81 ( equivalent @
% 22.17/3.81 ( equivalent @ X @ Y ) @ ( equivalent @ ( equivalent @ Y @ X ) @ Z ) ) @
% 22.17/3.81 Z ))).
% 22.17/3.81 thf(zip_derived_cl2, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 (equivalent @
% 22.17/3.81 (equivalent @ (equivalent @ X0 @ X1) @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X0) @ X2)) @
% 22.17/3.81 X2))),
% 22.17/3.81 inference('cnf', [status(esa)], [q_3])).
% 22.17/3.81 thf(zip_derived_cl0, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 22.17/3.81 | ~ (is_a_theorem @ X0)
% 22.17/3.81 | (is_a_theorem @ X1))),
% 22.17/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.17/3.81 thf(zip_derived_cl4, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X2) @
% 22.17/3.81 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 22.17/3.81 | (is_a_theorem @ X0))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 22.17/3.81 thf(zip_derived_cl7, plain,
% 22.17/3.81 (![X0 : $i, X2 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X2) @ X0))
% 22.17/3.81 | (is_a_theorem @ X0))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 22.17/3.81 thf(zip_derived_cl8, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ X2 @ X0) @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 22.17/3.81 thf(zip_derived_cl0, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 22.17/3.81 | ~ (is_a_theorem @ X0)
% 22.17/3.81 | (is_a_theorem @ X1))),
% 22.17/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.17/3.81 thf(zip_derived_cl13, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 22.17/3.81 | (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 22.17/3.81 thf(zip_derived_cl0, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 22.17/3.81 | ~ (is_a_theorem @ X0)
% 22.17/3.81 | (is_a_theorem @ X1))),
% 22.17/3.81 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.17/3.81 thf(zip_derived_cl24, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 22.17/3.81 | ~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 22.17/3.81 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 22.17/3.81 thf(zip_derived_cl30, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ X4 @ (equivalent @ (equivalent @ X2 @ X3) @ X0)))
% 22.17/3.81 | (is_a_theorem @
% 22.17/3.81 (equivalent @ X4 @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X3) @
% 22.17/3.81 (equivalent @ (equivalent @ X2 @ X1) @ X0)))))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl24])).
% 22.17/3.81 thf(zip_derived_cl30, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ X4 @ (equivalent @ (equivalent @ X2 @ X3) @ X0)))
% 22.17/3.81 | (is_a_theorem @
% 22.17/3.81 (equivalent @ X4 @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X3) @
% 22.17/3.81 (equivalent @ (equivalent @ X2 @ X1) @ X0)))))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl24])).
% 22.17/3.81 thf(zip_derived_cl2, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 (equivalent @
% 22.17/3.81 (equivalent @ (equivalent @ X0 @ X1) @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X0) @ X2)) @
% 22.17/3.81 X2))),
% 22.17/3.81 inference('cnf', [status(esa)], [q_3])).
% 22.17/3.81 thf(zip_derived_cl5, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X3) @ X0))
% 22.17/3.81 | (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X3) @
% 22.17/3.81 (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 22.17/3.81 thf(zip_derived_cl24, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 22.17/3.81 | ~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 22.17/3.81 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 22.17/3.81 thf(zip_derived_cl31, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X3) @ X0))
% 22.17/3.81 | ~ (is_a_theorem @ (equivalent @ X4 @ (equivalent @ X1 @ X3)))
% 22.17/3.81 | (is_a_theorem @
% 22.17/3.81 (equivalent @ X4 @ (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl24])).
% 22.17/3.81 thf(zip_derived_cl241, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ X4 @
% 22.17/3.81 (equivalent @ X3 @ (equivalent @ (equivalent @ X2 @ X1) @ X0))))
% 22.17/3.81 | (is_a_theorem @
% 22.17/3.81 (equivalent @ X4 @
% 22.17/3.81 (equivalent @ (equivalent @ (equivalent @ X1 @ X2) @ X3) @ X0))))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl31])).
% 22.17/3.81 thf(zip_derived_cl241, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ X4 @
% 22.17/3.81 (equivalent @ X3 @ (equivalent @ (equivalent @ X2 @ X1) @ X0))))
% 22.17/3.81 | (is_a_theorem @
% 22.17/3.81 (equivalent @ X4 @
% 22.17/3.81 (equivalent @ (equivalent @ (equivalent @ X1 @ X2) @ X3) @ X0))))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl31])).
% 22.17/3.81 thf(zip_derived_cl13, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 22.17/3.81 | (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 22.17/3.81 thf(zip_derived_cl2, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 (equivalent @
% 22.17/3.81 (equivalent @ (equivalent @ X0 @ X1) @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X0) @ X2)) @
% 22.17/3.81 X2))),
% 22.17/3.81 inference('cnf', [status(esa)], [q_3])).
% 22.17/3.81 thf(zip_derived_cl24, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 22.17/3.81 | ~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 22.17/3.81 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 22.17/3.81 thf(zip_derived_cl28, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ X3 @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X2) @
% 22.17/3.81 (equivalent @ (equivalent @ X2 @ X1) @ X0))))
% 22.17/3.81 | (is_a_theorem @ (equivalent @ X3 @ X0)))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl24])).
% 22.17/3.81 thf(zip_derived_cl87, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ X3 @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 22.17/3.81 | (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ (equivalent @ X1 @ X2) @ X3) @ X0)))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl28])).
% 22.17/3.81 thf(prove_lg_2, conjecture,
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 ( equivalent @
% 22.17/3.81 ( equivalent @
% 22.17/3.81 ( equivalent @
% 22.17/3.81 ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ a @ c ) ) @
% 22.17/3.81 ( equivalent @ b @ c ) ) @
% 22.17/3.81 e ) @
% 22.17/3.81 e ))).
% 22.17/3.81 thf(zf_stmt_0, negated_conjecture,
% 22.17/3.81 (~( is_a_theorem @
% 22.17/3.81 ( equivalent @
% 22.17/3.81 ( equivalent @
% 22.17/3.81 ( equivalent @
% 22.17/3.81 ( equivalent @ ( equivalent @ a @ b ) @ ( equivalent @ a @ c ) ) @
% 22.17/3.81 ( equivalent @ b @ c ) ) @
% 22.17/3.81 e ) @
% 22.17/3.81 e ) )),
% 22.17/3.81 inference('cnf.neg', [status(esa)], [prove_lg_2])).
% 22.17/3.81 thf(zip_derived_cl3, plain,
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @
% 22.17/3.81 (equivalent @
% 22.17/3.81 (equivalent @
% 22.17/3.81 (equivalent @ (equivalent @ a @ b) @ (equivalent @ a @ c)) @
% 22.17/3.81 (equivalent @ b @ c)) @
% 22.17/3.81 e) @
% 22.17/3.81 e))),
% 22.17/3.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 22.17/3.81 thf(zip_derived_cl2173, plain,
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ e @
% 22.17/3.81 (equivalent @
% 22.17/3.81 (equivalent @ (equivalent @ b @ c) @
% 22.17/3.81 (equivalent @ (equivalent @ a @ b) @ (equivalent @ a @ c))) @
% 22.17/3.81 e)))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl3])).
% 22.17/3.81 thf(zip_derived_cl10067, plain,
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ e @
% 22.17/3.81 (equivalent @
% 22.17/3.81 (equivalent @ (equivalent @ a @ b) @ (equivalent @ a @ c)) @
% 22.17/3.81 (equivalent @ (equivalent @ c @ b) @ e))))),
% 22.17/3.81 inference('s_sup-', [status(thm)],
% 22.17/3.81 [zip_derived_cl241, zip_derived_cl2173])).
% 22.17/3.81 thf(zip_derived_cl10068, plain,
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ e @
% 22.17/3.81 (equivalent @ (equivalent @ a @ c) @
% 22.17/3.81 (equivalent @ (equivalent @ b @ a) @
% 22.17/3.81 (equivalent @ (equivalent @ c @ b) @ e)))))),
% 22.17/3.81 inference('s_sup-', [status(thm)],
% 22.17/3.81 [zip_derived_cl241, zip_derived_cl10067])).
% 22.17/3.81 thf(zip_derived_cl10069, plain,
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ e @
% 22.17/3.81 (equivalent @ (equivalent @ b @ c) @
% 22.17/3.81 (equivalent @ (equivalent @ c @ b) @ e))))),
% 22.17/3.81 inference('s_sup-', [status(thm)],
% 22.17/3.81 [zip_derived_cl30, zip_derived_cl10068])).
% 22.17/3.81 thf(zip_derived_cl10071, plain,
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ e @ (equivalent @ (equivalent @ c @ c) @ e)))),
% 22.17/3.81 inference('s_sup-', [status(thm)],
% 22.17/3.81 [zip_derived_cl30, zip_derived_cl10069])).
% 22.17/3.81 thf(zip_derived_cl1, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ (equivalent @ X0 @ X1) @ X2) @
% 22.17/3.81 (equivalent @ (equivalent @ X3 @ X1) @
% 22.17/3.81 (equivalent @ (equivalent @ X0 @ X3) @ X2))))),
% 22.17/3.81 inference('cnf', [status(esa)], [p_1])).
% 22.17/3.81 thf(zip_derived_cl8, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ X2 @ X0) @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 22.17/3.81 thf(zip_derived_cl24, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 22.17/3.81 | ~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 22.17/3.81 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 22.17/3.81 thf(zip_derived_cl32, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.17/3.81 (~ (is_a_theorem @ (equivalent @ X3 @ (equivalent @ X2 @ X0)))
% 22.17/3.81 | (is_a_theorem @
% 22.17/3.81 (equivalent @ X3 @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0)))))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl24])).
% 22.17/3.81 thf(zip_derived_cl4, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ X1 @ X2) @
% 22.17/3.81 (equivalent @ (equivalent @ X2 @ X1) @ X0)))
% 22.17/3.81 | (is_a_theorem @ X0))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 22.17/3.81 thf(zip_derived_cl269, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.17/3.81 (~ (is_a_theorem @
% 22.17/3.81 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)))
% 22.17/3.81 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl4])).
% 22.17/3.81 thf(zip_derived_cl307, plain,
% 22.17/3.81 (![X0 : $i, X1 : $i]:
% 22.17/3.81 (is_a_theorem @
% 22.17/3.81 (equivalent @ X0 @ (equivalent @ (equivalent @ X1 @ X1) @ X0)))),
% 22.17/3.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl269])).
% 22.17/3.81 thf(zip_derived_cl10072, plain, ($false),
% 22.17/3.81 inference('demod', [status(thm)],
% 22.17/3.81 [zip_derived_cl10071, zip_derived_cl307])).
% 22.17/3.81
% 22.17/3.81 % SZS output end Refutation
% 22.17/3.81
% 22.17/3.81
% 22.17/3.81 % Terminating...
% 22.17/3.84 % Runner terminated.
% 22.17/3.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------