%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL131-1 : 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.Iu2weXT8yJ 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 01:35:15 PM UTC 2026
% Result : Unsatisfiable 45.03s 7.28s
% Output : Refutation 45.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL131-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Iu2weXT8yJ true
% 0.17/0.43 % Computer : n013.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 5 05:41:20 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Running portfolio for 300 s
% 0.17/0.43 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Number of cores: 8
% 0.17/0.44 % Python version: Python 3.12.3
% 0.17/0.45 % Running in FO mode
% 0.39/0.83 % Total configuration time : 435
% 0.39/0.83 % Estimated wc time : 1092
% 0.39/0.83 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.93 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/1.04 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.40/1.04 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/1.04 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/1.04 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.40/1.04 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.40/1.04 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 45.03/7.28 % Solved by fo/fo6_bce.sh.
% 45.03/7.28 % BCE start: 3
% 45.03/7.28 % BCE eliminated: 0
% 45.03/7.28 % PE start: 3
% 45.03/7.28 logic: neq
% 45.03/7.28 % PE eliminated: 0
% 45.03/7.28 % done 909 iterations in 6.309s
% 45.03/7.28 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 45.03/7.28 % SZS output start Refutation
% 45.03/7.28 thf(c_type, type, c: $i).
% 45.03/7.28 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 45.03/7.28 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 45.03/7.28 thf(b_type, type, b: $i).
% 45.03/7.28 thf(e_type, type, e: $i).
% 45.03/7.28 thf(a_type, type, a: $i).
% 45.03/7.28 thf(prove_lg_2, conjecture,
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 ( equivalent @
% 45.03/7.28 a @
% 45.03/7.28 ( equivalent @
% 45.03/7.28 a @
% 45.03/7.28 ( equivalent @
% 45.03/7.28 ( equivalent @ b @ c ) @
% 45.03/7.28 ( equivalent @ ( equivalent @ b @ e ) @ ( equivalent @ c @ e ) ) ) ) ))).
% 45.03/7.28 thf(zf_stmt_0, negated_conjecture,
% 45.03/7.28 (~( is_a_theorem @
% 45.03/7.28 ( equivalent @
% 45.03/7.28 a @
% 45.03/7.28 ( equivalent @
% 45.03/7.28 a @
% 45.03/7.28 ( equivalent @
% 45.03/7.28 ( equivalent @ b @ c ) @
% 45.03/7.28 ( equivalent @ ( equivalent @ b @ e ) @ ( equivalent @ c @ e ) ) ) ) ) )),
% 45.03/7.28 inference('cnf.neg', [status(esa)], [prove_lg_2])).
% 45.03/7.28 thf(zip_derived_cl2, plain,
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @ a @
% 45.03/7.28 (equivalent @ a @
% 45.03/7.28 (equivalent @ (equivalent @ b @ c) @
% 45.03/7.28 (equivalent @ (equivalent @ b @ e) @ (equivalent @ c @ e))))))),
% 45.03/7.28 inference('cnf', [status(esa)], [zf_stmt_0])).
% 45.03/7.28 thf(s_6, axiom,
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 ( equivalent @
% 45.03/7.28 ( equivalent @
% 45.03/7.28 X @
% 45.03/7.28 ( equivalent @
% 45.03/7.28 ( equivalent @ ( equivalent @ Y @ Z ) @ ( equivalent @ U @ Z ) ) @
% 45.03/7.28 ( equivalent @ Y @ U ) ) ) @
% 45.03/7.28 X ))).
% 45.03/7.28 thf(zip_derived_cl1, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ X0 @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X3 @ X2)) @
% 45.03/7.28 (equivalent @ X1 @ X3))) @
% 45.03/7.28 X0))),
% 45.03/7.28 inference('cnf', [status(esa)], [s_6])).
% 45.03/7.28 thf(zip_derived_cl1, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ X0 @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X3 @ X2)) @
% 45.03/7.28 (equivalent @ X1 @ X3))) @
% 45.03/7.28 X0))),
% 45.03/7.28 inference('cnf', [status(esa)], [s_6])).
% 45.03/7.28 thf(zip_derived_cl1, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ X0 @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X3 @ X2)) @
% 45.03/7.28 (equivalent @ X1 @ X3))) @
% 45.03/7.28 X0))),
% 45.03/7.28 inference('cnf', [status(esa)], [s_6])).
% 45.03/7.28 thf(condensed_detachment, axiom,
% 45.03/7.28 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 45.03/7.28 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 45.03/7.28 thf(zip_derived_cl0, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 45.03/7.28 | ~ (is_a_theorem @ X0)
% 45.03/7.28 | (is_a_theorem @ X1))),
% 45.03/7.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 45.03/7.28 thf(zip_derived_cl3, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @ X0 @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X1 @ X3)) @
% 45.03/7.28 (equivalent @ X2 @ X1))))
% 45.03/7.28 | (is_a_theorem @ X0))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl4, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X0 @ X2)) @
% 45.03/7.28 (equivalent @ X1 @ X0)) @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X4 @ X5) @ (equivalent @ X3 @ X5)) @
% 45.03/7.28 (equivalent @ X4 @ X3))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 45.03/7.28 thf(zip_derived_cl3, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @ X0 @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X1 @ X3)) @
% 45.03/7.28 (equivalent @ X2 @ X1))))
% 45.03/7.28 | (is_a_theorem @ X0))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl6, plain,
% 45.03/7.28 (![X3 : $i, X4 : $i, X5 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X4 @ X5) @ (equivalent @ X3 @ X5)) @
% 45.03/7.28 (equivalent @ X4 @ X3)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 45.03/7.28 thf(zip_derived_cl3, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @ X0 @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X1 @ X3)) @
% 45.03/7.28 (equivalent @ X2 @ X1))))
% 45.03/7.28 | (is_a_theorem @ X0))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl8, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X0 @ X2)) @
% 45.03/7.28 X3) @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X0) @ X3)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 45.03/7.28 thf(zip_derived_cl0, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 45.03/7.28 | ~ (is_a_theorem @ X0)
% 45.03/7.28 | (is_a_theorem @ X1))),
% 45.03/7.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 45.03/7.28 thf(zip_derived_cl11, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X1 @ X3)) @
% 45.03/7.28 X0))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl24, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ X2 @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X0 @ X3))) @
% 45.03/7.28 (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 45.03/7.28 thf(zip_derived_cl4, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X0 @ X2)) @
% 45.03/7.28 (equivalent @ X1 @ X0)) @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X4 @ X5) @ (equivalent @ X3 @ X5)) @
% 45.03/7.28 (equivalent @ X4 @ X3))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 45.03/7.28 thf(zip_derived_cl6, plain,
% 45.03/7.28 (![X3 : $i, X4 : $i, X5 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X4 @ X5) @ (equivalent @ X3 @ X5)) @
% 45.03/7.28 (equivalent @ X4 @ X3)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 45.03/7.28 thf(zip_derived_cl0, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 45.03/7.28 | ~ (is_a_theorem @ X0)
% 45.03/7.28 | (is_a_theorem @ X1))),
% 45.03/7.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 45.03/7.28 thf(zip_derived_cl7, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X0 @ X2)))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl10, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X0 @ X3)) @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X0 @ X2))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl7])).
% 45.03/7.28 thf(zip_derived_cl7, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X0 @ X2)))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl16, plain,
% 45.03/7.28 (![X0 : $i, X2 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X2 @ X0)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl7])).
% 45.03/7.28 thf(zip_derived_cl7, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X0 @ X2)))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl19, plain,
% 45.03/7.28 (![X1 : $i]: (is_a_theorem @ (equivalent @ X1 @ X1))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl7])).
% 45.03/7.28 thf(zip_derived_cl11, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X1 @ X3)) @
% 45.03/7.28 X0))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl23, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X1) @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl11])).
% 45.03/7.28 thf(zip_derived_cl0, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 45.03/7.28 | ~ (is_a_theorem @ X0)
% 45.03/7.28 | (is_a_theorem @ X1))),
% 45.03/7.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 45.03/7.28 thf(zip_derived_cl31, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 45.03/7.28 | (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl19, plain,
% 45.03/7.28 (![X1 : $i]: (is_a_theorem @ (equivalent @ X1 @ X1))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl7])).
% 45.03/7.28 thf(zip_derived_cl31, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 45.03/7.28 | (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl11, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X1 @ X3)) @
% 45.03/7.28 X0))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl35, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X0) @ X2))
% 45.03/7.28 | (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X3 @ X1) @
% 45.03/7.28 (equivalent @ X2 @ (equivalent @ X1 @ X0)))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl11])).
% 45.03/7.28 thf(zip_derived_cl0, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 45.03/7.28 | ~ (is_a_theorem @ X0)
% 45.03/7.28 | (is_a_theorem @ X1))),
% 45.03/7.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 45.03/7.28 thf(zip_derived_cl120, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X0) @ X2))
% 45.03/7.28 | ~ (is_a_theorem @ (equivalent @ X3 @ X1))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl127, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X1))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X2))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl120])).
% 45.03/7.28 thf(zip_derived_cl149, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 45.03/7.28 | (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X2 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl127])).
% 45.03/7.28 thf(zip_derived_cl7, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X0 @ X2)))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl167, plain,
% 45.03/7.28 (![X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl7])).
% 45.03/7.28 thf(zip_derived_cl179, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @
% 45.03/7.28 (equivalent @ X2 @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X0 @ X3)))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl167])).
% 45.03/7.28 thf(zip_derived_cl1, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ X0 @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X3 @ X2)) @
% 45.03/7.28 (equivalent @ X1 @ X3))) @
% 45.03/7.28 X0))),
% 45.03/7.28 inference('cnf', [status(esa)], [s_6])).
% 45.03/7.28 thf(zip_derived_cl31, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 45.03/7.28 | (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl0, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 45.03/7.28 | ~ (is_a_theorem @ X0)
% 45.03/7.28 | (is_a_theorem @ X1))),
% 45.03/7.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 45.03/7.28 thf(zip_derived_cl33, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 45.03/7.28 | ~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl45, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ X0 @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X1 @ X3)) @
% 45.03/7.28 (equivalent @ X2 @ X1))) @
% 45.03/7.28 X4))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X0 @ X4)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl33])).
% 45.03/7.28 thf(zip_derived_cl303, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @ X4 @
% 45.03/7.28 (equivalent @ X4 @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X1 @ X3)) @
% 45.03/7.28 X0) @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X1) @ X0)))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl179, zip_derived_cl45])).
% 45.03/7.28 thf(zip_derived_cl149, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 45.03/7.28 | (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X2 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl127])).
% 45.03/7.28 thf(zip_derived_cl11, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X1 @ X3)) @
% 45.03/7.28 X0))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl165, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X3 @ X0)))
% 45.03/7.28 | (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X3 @ X1) @
% 45.03/7.28 (equivalent @ X2 @ (equivalent @ X1 @ X0)))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl11])).
% 45.03/7.28 thf(zip_derived_cl23, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X1) @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl11])).
% 45.03/7.28 thf(zip_derived_cl179, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @
% 45.03/7.28 (equivalent @ X2 @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X0 @ X3)))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl167])).
% 45.03/7.28 thf(zip_derived_cl35, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X0) @ X2))
% 45.03/7.28 | (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X3 @ X1) @
% 45.03/7.28 (equivalent @ X2 @ (equivalent @ X1 @ X0)))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl11])).
% 45.03/7.28 thf(zip_derived_cl3, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @ X0 @
% 45.03/7.28 (equivalent @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X1 @ X3)) @
% 45.03/7.28 (equivalent @ X2 @ X1))))
% 45.03/7.28 | (is_a_theorem @ X0))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl124, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X3 @ X0) @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X0 @ X2))))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X3 @ X1)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl3])).
% 45.03/7.28 thf(zip_derived_cl423, plain,
% 45.03/7.28 (![X0 : $i, X2 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ (equivalent @ X0 @ X0)) @ X2))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl179, zip_derived_cl124])).
% 45.03/7.28 thf(zip_derived_cl33, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 45.03/7.28 | ~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl425, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X1)) @ X2))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X0 @ X2)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl423, zip_derived_cl33])).
% 45.03/7.28 thf(zip_derived_cl1244, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @ X2 @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X0) @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X1) @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl425])).
% 45.03/7.28 thf(zip_derived_cl31, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 45.03/7.28 | (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl423, plain,
% 45.03/7.28 (![X0 : $i, X2 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ (equivalent @ X0 @ X0)) @ X2))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl179, zip_derived_cl124])).
% 45.03/7.28 thf(zip_derived_cl167, plain,
% 45.03/7.28 (![X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl7])).
% 45.03/7.28 thf(zip_derived_cl432, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @ X0 @ (equivalent @ X0 @ (equivalent @ X1 @ X1))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl423, zip_derived_cl167])).
% 45.03/7.28 thf(zip_derived_cl0, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 45.03/7.28 | ~ (is_a_theorem @ X0)
% 45.03/7.28 | (is_a_theorem @ X1))),
% 45.03/7.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 45.03/7.28 thf(zip_derived_cl468, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ X1)
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X0 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl432, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl149, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 45.03/7.28 | (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X2 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl127])).
% 45.03/7.28 thf(zip_derived_cl0, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 45.03/7.28 | ~ (is_a_theorem @ X0)
% 45.03/7.28 | (is_a_theorem @ X1))),
% 45.03/7.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 45.03/7.28 thf(zip_derived_cl158, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 45.03/7.28 | ~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl561, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ X1)
% 45.03/7.28 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X0) @ X2))
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X1 @ X2)))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl468, zip_derived_cl158])).
% 45.03/7.28 thf(zip_derived_cl1568, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 45.03/7.28 | ~ (is_a_theorem @ X2)
% 45.03/7.28 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl561])).
% 45.03/7.28 thf(zip_derived_cl179, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @
% 45.03/7.28 (equivalent @ X2 @
% 45.03/7.28 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X0 @ X3)))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl167])).
% 45.03/7.28 thf(zip_derived_cl0, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 45.03/7.28 | ~ (is_a_theorem @ X0)
% 45.03/7.28 | (is_a_theorem @ X1))),
% 45.03/7.28 inference('cnf', [status(esa)], [condensed_detachment])).
% 45.03/7.28 thf(zip_derived_cl199, plain,
% 45.03/7.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.28 (~ (is_a_theorem @ (equivalent @ X3 @ (equivalent @ X2 @ X1)))
% 45.03/7.28 | (is_a_theorem @
% 45.03/7.28 (equivalent @ X3 @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)))))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl179, zip_derived_cl0])).
% 45.03/7.28 thf(zip_derived_cl423, plain,
% 45.03/7.28 (![X0 : $i, X2 : $i]:
% 45.03/7.28 (is_a_theorem @
% 45.03/7.28 (equivalent @ (equivalent @ X2 @ (equivalent @ X0 @ X0)) @ X2))),
% 45.03/7.28 inference('s_sup-', [status(thm)], [zip_derived_cl179, zip_derived_cl124])).
% 45.03/7.29 thf(zip_derived_cl23, plain,
% 45.03/7.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.29 (is_a_theorem @
% 45.03/7.29 (equivalent @ (equivalent @ X2 @ X1) @
% 45.03/7.29 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))),
% 45.03/7.29 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl11])).
% 45.03/7.29 thf(zip_derived_cl33, plain,
% 45.03/7.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.29 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 45.03/7.29 | ~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 45.03/7.29 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 45.03/7.29 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 45.03/7.29 thf(zip_derived_cl52, plain,
% 45.03/7.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.29 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X3))
% 45.03/7.29 | (is_a_theorem @
% 45.03/7.29 (equivalent @
% 45.03/7.29 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0)) @
% 45.03/7.29 X3)))),
% 45.03/7.29 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl33])).
% 45.03/7.29 thf(zip_derived_cl0, plain,
% 45.03/7.29 (![X0 : $i, X1 : $i]:
% 45.03/7.29 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 45.03/7.29 | ~ (is_a_theorem @ X0)
% 45.03/7.29 | (is_a_theorem @ X1))),
% 45.03/7.29 inference('cnf', [status(esa)], [condensed_detachment])).
% 45.03/7.29 thf(zip_derived_cl446, plain,
% 45.03/7.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.29 (~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0))
% 45.03/7.29 | ~ (is_a_theorem @
% 45.03/7.29 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X1)))
% 45.03/7.29 | (is_a_theorem @ X0))),
% 45.03/7.29 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 45.03/7.29 thf(zip_derived_cl6689, plain,
% 45.03/7.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.29 (~ (is_a_theorem @
% 45.03/7.29 (equivalent @ (equivalent @ X0 @ X2) @
% 45.03/7.29 (equivalent @ (equivalent @ X1 @ X1) @ X2)))
% 45.03/7.29 | (is_a_theorem @ X0))),
% 45.03/7.29 inference('s_sup-', [status(thm)], [zip_derived_cl423, zip_derived_cl446])).
% 45.03/7.29 thf(zip_derived_cl6753, plain,
% 45.03/7.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.29 (~ (is_a_theorem @
% 45.03/7.29 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @
% 45.03/7.29 (equivalent @ X0 @ X1)))
% 45.03/7.29 | (is_a_theorem @ X2))),
% 45.03/7.29 inference('s_sup-', [status(thm)],
% 45.03/7.29 [zip_derived_cl199, zip_derived_cl6689])).
% 45.03/7.29 thf(zip_derived_cl7637, plain,
% 45.03/7.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 45.03/7.29 (~ (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X0 @ X1)))
% 45.03/7.29 | ~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 45.03/7.29 | (is_a_theorem @ X2))),
% 45.03/7.29 inference('s_sup-', [status(thm)],
% 45.03/7.29 [zip_derived_cl1568, zip_derived_cl6753])).
% 45.03/7.29 thf(zip_derived_cl7950, plain,
% 45.03/7.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.29 (~ (is_a_theorem @
% 45.03/7.29 (equivalent @ X3 @
% 45.03/7.29 (equivalent @ X2 @
% 45.03/7.29 (equivalent @ (equivalent @ X2 @ X0) @
% 45.03/7.29 (equivalent @ (equivalent @ X1 @ X1) @ X0)))))
% 45.03/7.29 | (is_a_theorem @ X3))),
% 45.03/7.29 inference('s_sup-', [status(thm)],
% 45.03/7.29 [zip_derived_cl1244, zip_derived_cl7637])).
% 45.03/7.29 thf(zip_derived_cl8072, plain,
% 45.03/7.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.29 (~ (is_a_theorem @
% 45.03/7.29 (equivalent @ X2 @
% 45.03/7.29 (equivalent @ X3 @ (equivalent @ (equivalent @ X1 @ X1) @ X0))))
% 45.03/7.29 | (is_a_theorem @ (equivalent @ X3 @ (equivalent @ X2 @ X0))))),
% 45.03/7.29 inference('s_sup-', [status(thm)],
% 45.03/7.29 [zip_derived_cl165, zip_derived_cl7950])).
% 45.03/7.29 thf(zip_derived_cl10426, plain,
% 45.03/7.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 45.03/7.29 (is_a_theorem @
% 45.03/7.29 (equivalent @ X3 @
% 45.03/7.29 (equivalent @ X3 @
% 45.03/7.29 (equivalent @ (equivalent @ X2 @ X1) @
% 45.03/7.29 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X0))))))),
% 45.03/7.29 inference('s_sup-', [status(thm)],
% 45.03/7.29 [zip_derived_cl303, zip_derived_cl8072])).
% 45.03/7.29 thf(zip_derived_cl10485, plain, ($false),
% 45.03/7.29 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl10426])).
% 45.03/7.29
% 45.03/7.29 % SZS output end Refutation
% 45.03/7.29
% 45.03/7.29
% 45.03/7.29 % Terminating...
% 8.37/7.34 % Runner terminated.
% 8.37/7.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------