TSTP Solution File: LCL051-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL051-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KNVThgZeFK true
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 08:57:58 EDT 2023
% Result : Unsatisfiable 103.21s 21.17s
% Output : Refutation 103.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : LCL051-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KNVThgZeFK true
% 0.16/0.37 % Computer : n017.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 25 04:11:39 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.24/0.69 % Total configuration time : 435
% 0.24/0.69 % Estimated wc time : 1092
% 0.24/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.76/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.76/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.06/0.84 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.06/0.85 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.20/0.91 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.21/0.92 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.21/0.94 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 103.21/21.17 % Solved by fo/fo6_bce.sh.
% 103.21/21.17 % BCE start: 5
% 103.21/21.17 % BCE eliminated: 0
% 103.21/21.17 % PE start: 5
% 103.21/21.17 logic: neq
% 103.21/21.17 % PE eliminated: 0
% 103.21/21.17 % done 2241 iterations in 20.327s
% 103.21/21.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 103.21/21.17 % SZS output start Refutation
% 103.21/21.17 thf(c_type, type, c: $i).
% 103.21/21.17 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 103.21/21.17 thf(implies_type, type, implies: $i > $i > $i).
% 103.21/21.17 thf(not_type, type, not: $i > $i).
% 103.21/21.17 thf(b_type, type, b: $i).
% 103.21/21.17 thf(a_type, type, a: $i).
% 103.21/21.17 thf(prove_cn_22, conjecture,
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 ( implies @
% 103.21/21.17 ( implies @ b @ c ) @
% 103.21/21.17 ( implies @ ( implies @ a @ b ) @ ( implies @ a @ c ) ) ))).
% 103.21/21.17 thf(zf_stmt_0, negated_conjecture,
% 103.21/21.17 (~( is_a_theorem @
% 103.21/21.17 ( implies @
% 103.21/21.17 ( implies @ b @ c ) @
% 103.21/21.17 ( implies @ ( implies @ a @ b ) @ ( implies @ a @ c ) ) ) )),
% 103.21/21.17 inference('cnf.neg', [status(esa)], [prove_cn_22])).
% 103.21/21.17 thf(zip_derived_cl4, plain,
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ b @ c) @
% 103.21/21.17 (implies @ (implies @ a @ b) @ (implies @ a @ c))))),
% 103.21/21.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.21/21.17 thf(cn_2, axiom,
% 103.21/21.17 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 103.21/21.17 thf(zip_derived_cl2, plain,
% 103.21/21.17 (![X0 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_2])).
% 103.21/21.17 thf(cn_3, axiom,
% 103.21/21.17 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 103.21/21.17 thf(zip_derived_cl3, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_3])).
% 103.21/21.17 thf(cn_1, axiom,
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 ( implies @
% 103.21/21.17 ( implies @ X @ Y ) @
% 103.21/21.17 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 103.21/21.17 thf(zip_derived_cl1, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X0 @ X1) @
% 103.21/21.17 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_1])).
% 103.21/21.17 thf(condensed_detachment, axiom,
% 103.21/21.17 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 103.21/21.17 ( is_a_theorem @ Y ))).
% 103.21/21.17 thf(zip_derived_cl0, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 103.21/21.17 | ~ (is_a_theorem @ X0)
% 103.21/21.17 | (is_a_theorem @ X1))),
% 103.21/21.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 103.21/21.17 thf(zip_derived_cl6, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl0, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 103.21/21.17 | ~ (is_a_theorem @ X0)
% 103.21/21.17 | (is_a_theorem @ X1))),
% 103.21/21.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 103.21/21.17 thf(zip_derived_cl11, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl12, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl20, plain,
% 103.21/21.17 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl12])).
% 103.21/21.17 thf(zip_derived_cl2, plain,
% 103.21/21.17 (![X0 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_2])).
% 103.21/21.17 thf(zip_derived_cl6, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl11, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl15, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl50, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 103.21/21.17 thf(zip_derived_cl239, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X1 @ X0) @
% 103.21/21.17 (implies @ (implies @ (not @ X1) @ X1) @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl50])).
% 103.21/21.17 thf(zip_derived_cl2, plain,
% 103.21/21.17 (![X0 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_2])).
% 103.21/21.17 thf(zip_derived_cl2, plain,
% 103.21/21.17 (![X0 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_2])).
% 103.21/21.17 thf(zip_derived_cl2, plain,
% 103.21/21.17 (![X0 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_2])).
% 103.21/21.17 thf(zip_derived_cl2, plain,
% 103.21/21.17 (![X0 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_2])).
% 103.21/21.17 thf(zip_derived_cl3, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_3])).
% 103.21/21.17 thf(zip_derived_cl0, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 103.21/21.17 | ~ (is_a_theorem @ X0)
% 103.21/21.17 | (is_a_theorem @ X1))),
% 103.21/21.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 103.21/21.17 thf(zip_derived_cl7, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl6, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl12, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl22, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ (not @ X2)))
% 103.21/21.17 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 103.21/21.17 thf(zip_derived_cl58, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ X1)
% 103.21/21.17 | (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X1) @ X2))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl22])).
% 103.21/21.17 thf(zip_derived_cl11, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl61, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ X1)
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3))
% 103.21/21.17 | (is_a_theorem @ (implies @ X2 @ X3)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl133, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl61])).
% 103.21/21.17 thf(zip_derived_cl15, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl142, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ X0)
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl15])).
% 103.21/21.17 thf(zip_derived_cl2263, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ X1)
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl142])).
% 103.21/21.17 thf(zip_derived_cl1, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X0 @ X1) @
% 103.21/21.17 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_1])).
% 103.21/21.17 thf(zip_derived_cl1, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X0 @ X1) @
% 103.21/21.17 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_1])).
% 103.21/21.17 thf(zip_derived_cl11, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl14, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @
% 103.21/21.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl40, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X3 @ X2) @
% 103.21/21.17 (implies @ (implies @ (implies @ X3 @ X1) @ X0) @
% 103.21/21.17 (implies @ (implies @ X2 @ X1) @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl14])).
% 103.21/21.17 thf(zip_derived_cl11, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl81, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @
% 103.21/21.17 (implies @ (implies @ (implies @ X3 @ X1) @ X0) @
% 103.21/21.17 (implies @ (implies @ X2 @ X1) @ X0)) @
% 103.21/21.17 X4))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X3 @ X2) @ X4)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl2333, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X3 @ X2) @
% 103.21/21.17 (implies @ (implies @ X2 @ X1) @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2263, zip_derived_cl81])).
% 103.21/21.17 thf(zip_derived_cl3, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_3])).
% 103.21/21.17 thf(zip_derived_cl6, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl14, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @
% 103.21/21.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl41, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0)))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X1 @ X3) @
% 103.21/21.17 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 103.21/21.17 thf(zip_derived_cl0, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 103.21/21.17 | ~ (is_a_theorem @ X0)
% 103.21/21.17 | (is_a_theorem @ X1))),
% 103.21/21.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 103.21/21.17 thf(zip_derived_cl74, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0)))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X1 @ X3))
% 103.21/21.17 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl684, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @ X3 @ (implies @ (implies @ (not @ X1) @ X0) @ X2)))
% 103.21/21.17 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X2))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl74])).
% 103.21/21.17 thf(zip_derived_cl2361, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X3 @ (not @ X2)) @ (implies @ X2 @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl2333, zip_derived_cl684])).
% 103.21/21.17 thf(zip_derived_cl2395, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl2361])).
% 103.21/21.17 thf(zip_derived_cl12, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl2801, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2395, zip_derived_cl12])).
% 103.21/21.17 thf(zip_derived_cl6, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl2, plain,
% 103.21/21.17 (![X0 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_2])).
% 103.21/21.17 thf(zip_derived_cl11, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl13, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl61, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ X1)
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3))
% 103.21/21.17 | (is_a_theorem @ (implies @ X2 @ X3)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl134, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 103.21/21.17 | ~ (is_a_theorem @ X1)
% 103.21/21.17 | (is_a_theorem @ (implies @ X2 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl61])).
% 103.21/21.17 thf(zip_derived_cl179, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 103.21/21.17 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl134])).
% 103.21/21.17 thf(zip_derived_cl2819, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 103.21/21.17 | (is_a_theorem @ (implies @ X3 @ (implies @ X0 @ X2))))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl2801, zip_derived_cl179])).
% 103.21/21.17 thf(zip_derived_cl8604, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl2819])).
% 103.21/21.17 thf(zip_derived_cl11, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl8655, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X0) @ X2))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl8604, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl9569, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ X1 @ (implies @ (implies @ (not @ X0) @ X0) @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl239, zip_derived_cl8655])).
% 103.21/21.17 thf(zip_derived_cl41, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0)))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X1 @ X3) @
% 103.21/21.17 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 103.21/21.17 thf(zip_derived_cl14, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @
% 103.21/21.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl79, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @ X3 @ (implies @ (implies @ X4 @ X1) @ X0)))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X4 @ X2) @
% 103.21/21.17 (implies @ X3 @ (implies @ (implies @ X2 @ X1) @ X0)))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl14])).
% 103.21/21.17 thf(zip_derived_cl6, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl2395, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl2361])).
% 103.21/21.17 thf(zip_derived_cl2801, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2395, zip_derived_cl12])).
% 103.21/21.17 thf(zip_derived_cl11, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl2813, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 103.21/21.17 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2801, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl3063, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl2395, zip_derived_cl2813])).
% 103.21/21.17 thf(zip_derived_cl40, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X3 @ X2) @
% 103.21/21.17 (implies @ (implies @ (implies @ X3 @ X1) @ X0) @
% 103.21/21.17 (implies @ (implies @ X2 @ X1) @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl14])).
% 103.21/21.17 thf(zip_derived_cl0, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 103.21/21.17 | ~ (is_a_theorem @ X0)
% 103.21/21.17 | (is_a_theorem @ X1))),
% 103.21/21.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 103.21/21.17 thf(zip_derived_cl80, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X3 @ X2))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ (implies @ X3 @ X1) @ X0) @
% 103.21/21.17 (implies @ (implies @ X2 @ X1) @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl239, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X1 @ X0) @
% 103.21/21.17 (implies @ (implies @ (not @ X1) @ X1) @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl50])).
% 103.21/21.17 thf(zip_derived_cl13, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl11, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl27, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X1) @ X2)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl274, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @
% 103.21/21.17 (implies @ (not @ (implies @ X1 @ X0)) @ (implies @ X1 @ X0)) @
% 103.21/21.17 X2)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl239, zip_derived_cl27])).
% 103.21/21.17 thf(zip_derived_cl8604, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl2819])).
% 103.21/21.17 thf(zip_derived_cl2263, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ X1)
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl142])).
% 103.21/21.17 thf(zip_derived_cl50, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ (implies @ (not @ X0) @ X0) @ X2) @ X1))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 103.21/21.17 thf(zip_derived_cl2328, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (not @ X1) @ X1))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2263, zip_derived_cl50])).
% 103.21/21.17 thf(zip_derived_cl8741, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X0) @ X1) @ X1))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl8604, zip_derived_cl2328])).
% 103.21/21.17 thf(zip_derived_cl3, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_3])).
% 103.21/21.17 thf(zip_derived_cl15, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl48, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @ X2)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 103.21/21.17 thf(zip_derived_cl0, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 103.21/21.17 | ~ (is_a_theorem @ X0)
% 103.21/21.17 | (is_a_theorem @ X1))),
% 103.21/21.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 103.21/21.17 thf(zip_derived_cl228, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X3) @ X2) @ X1))
% 103.21/21.17 | (is_a_theorem @ X0))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl12240, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ (not @ (implies @ X1 @ X1)) @ X2) @ X0))
% 103.21/21.17 | (is_a_theorem @ X0))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl8741, zip_derived_cl228])).
% 103.21/21.17 thf(zip_derived_cl15109, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X1) @ X0))
% 103.21/21.17 | (is_a_theorem @ X0))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl274, zip_derived_cl12240])).
% 103.21/21.17 thf(zip_derived_cl15944, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (not @ X0) @ X1))
% 103.21/21.17 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl80, zip_derived_cl15109])).
% 103.21/21.17 thf(zip_derived_cl20107, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ (implies @ (implies @ X1 @ X0) @ X1) @ X1))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl3063, zip_derived_cl15944])).
% 103.21/21.17 thf(zip_derived_cl0, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 103.21/21.17 | ~ (is_a_theorem @ X0)
% 103.21/21.17 | (is_a_theorem @ X1))),
% 103.21/21.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 103.21/21.17 thf(zip_derived_cl21286, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X0))
% 103.21/21.17 | (is_a_theorem @ X0))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl20107, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl21486, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0)))
% 103.21/21.17 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl21286])).
% 103.21/21.17 thf(zip_derived_cl22276, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X3 @ X2) @
% 103.21/21.17 (implies @ (implies @ X3 @ X1) @ X0)))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X3 @ X2) @
% 103.21/21.17 (implies @ (implies @ X2 @ X1) @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl79, zip_derived_cl21486])).
% 103.21/21.17 thf(zip_derived_cl24247, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ (not @ X0) @ X1) @
% 103.21/21.17 (implies @ (implies @ X1 @ X0) @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl9569, zip_derived_cl22276])).
% 103.21/21.17 thf(zip_derived_cl2813, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 103.21/21.17 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl2801, zip_derived_cl11])).
% 103.21/21.17 thf(zip_derived_cl25052, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i]:
% 103.21/21.17 (is_a_theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl24247, zip_derived_cl2813])).
% 103.21/21.17 thf(zip_derived_cl1, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X0 @ X1) @
% 103.21/21.17 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 103.21/21.17 inference('cnf', [status(esa)], [cn_1])).
% 103.21/21.17 thf(zip_derived_cl74, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.21/21.17 (~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0)))
% 103.21/21.17 | ~ (is_a_theorem @ (implies @ X1 @ X3))
% 103.21/21.17 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl0])).
% 103.21/21.17 thf(zip_derived_cl700, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 103.21/21.17 (~ (is_a_theorem @
% 103.21/21.17 (implies @ X4 @
% 103.21/21.17 (implies @
% 103.21/21.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3)))
% 103.21/21.17 | (is_a_theorem @
% 103.21/21.17 (implies @ X4 @ (implies @ (implies @ X1 @ X2) @ X3))))),
% 103.21/21.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl74])).
% 103.21/21.17 thf(zip_derived_cl42900, plain,
% 103.21/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.21/21.17 (is_a_theorem @
% 103.21/21.17 (implies @ (implies @ X2 @ X0) @
% 103.21/21.17 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 103.21/21.17 inference('s_sup-', [status(thm)],
% 103.21/21.17 [zip_derived_cl25052, zip_derived_cl700])).
% 103.21/21.17 thf(zip_derived_cl42992, plain, ($false),
% 103.21/21.17 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl42900])).
% 103.21/21.17
% 103.21/21.17 % SZS output end Refutation
% 103.21/21.17
% 103.21/21.17
% 103.21/21.17 % Terminating...
% 103.70/21.30 % Runner terminated.
% 103.70/21.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------