TSTP Solution File: LCL326-3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL326-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.x5e0H4FtW2 true
% Computer : n032.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 08:59:18 EDT 2023
% Result : Unsatisfiable 171.95s 25.08s
% Output : Refutation 171.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL326-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.x5e0H4FtW2 true
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Aug 25 06:42:42 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Running portfolio for 300 s
% 0.09/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Number of cores: 8
% 0.14/0.29 % Python version: Python 3.6.8
% 0.14/0.29 % Running in FO mode
% 0.14/0.49 % Total configuration time : 435
% 0.14/0.49 % Estimated wc time : 1092
% 0.14/0.49 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 171.95/25.08 % Solved by fo/fo5.sh.
% 171.95/25.08 % done 17033 iterations in 24.478s
% 171.95/25.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 171.95/25.08 % SZS output start Refutation
% 171.95/25.08 thf(axiom_type, type, axiom: $i > $o).
% 171.95/25.08 thf(implies_type, type, implies: $i > $i > $i).
% 171.95/25.08 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 171.95/25.08 thf(p_type, type, p: $i).
% 171.95/25.08 thf(or_type, type, or: $i > $i > $i).
% 171.95/25.08 thf(and_type, type, and: $i > $i > $i).
% 171.95/25.08 thf(theorem_type, type, theorem: $i > $o).
% 171.95/25.08 thf(not_type, type, not: $i > $i).
% 171.95/25.08 thf(prove_this, conjecture,
% 171.95/25.08 (theorem @ ( not @ ( equivalent @ p @ ( not @ p ) ) ))).
% 171.95/25.08 thf(zf_stmt_0, negated_conjecture,
% 171.95/25.08 (~( theorem @ ( not @ ( equivalent @ p @ ( not @ p ) ) ) )),
% 171.95/25.08 inference('cnf.neg', [status(esa)], [prove_this])).
% 171.95/25.08 thf(zip_derived_cl10, plain,
% 171.95/25.08 (~ (theorem @ (not @ (equivalent @ p @ (not @ p))))),
% 171.95/25.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 171.95/25.08 thf(equivalent_defn, axiom,
% 171.95/25.08 (( equivalent @ P @ Q ) =
% 171.95/25.08 ( and @ ( implies @ P @ Q ) @ ( implies @ Q @ P ) ))).
% 171.95/25.08 thf(zip_derived_cl9, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ((equivalent @ X0 @ X1)
% 171.95/25.08 = (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)))),
% 171.95/25.08 inference('cnf', [status(esa)], [equivalent_defn])).
% 171.95/25.08 thf(implies_definition, axiom,
% 171.95/25.08 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(axiom_1_4, axiom,
% 171.95/25.08 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 171.95/25.08 thf(zip_derived_cl2, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 171.95/25.08 inference('cnf', [status(esa)], [axiom_1_4])).
% 171.95/25.08 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 171.95/25.08 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_1])).
% 171.95/25.08 thf(zip_derived_cl21, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 171.95/25.08 thf(zip_derived_cl67, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 171.95/25.08 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl21])).
% 171.95/25.08 thf(zip_derived_cl271, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (implies @ (implies @ X1 @ (not @ X0)) @ (implies @ X0 @ (not @ X1))))),
% 171.95/25.08 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl67])).
% 171.95/25.08 thf(and_defn, axiom,
% 171.95/25.08 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 171.95/25.08 thf(zip_derived_cl8, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 171.95/25.08 inference('cnf', [status(esa)], [and_defn])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl32, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 171.95/25.08 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl33, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 ((implies @ (implies @ X1 @ (not @ X0)) @ X2)
% 171.95/25.08 = (or @ (and @ X1 @ X0) @ X2))),
% 171.95/25.08 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl274, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @ (or @ (and @ X1 @ X0) @ (implies @ X0 @ (not @ X1))))),
% 171.95/25.08 inference('demod', [status(thm)], [zip_derived_cl271, zip_derived_cl33])).
% 171.95/25.08 thf(zip_derived_cl639, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (or @ (equivalent @ X1 @ X0) @
% 171.95/25.08 (implies @ (implies @ X0 @ X1) @ (not @ (implies @ X1 @ X0)))))),
% 171.95/25.08 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl274])).
% 171.95/25.08 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 171.95/25.08 thf(zip_derived_cl1, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 171.95/25.08 inference('cnf', [status(esa)], [axiom_1_3])).
% 171.95/25.08 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_1])).
% 171.95/25.08 thf(zip_derived_cl13, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(axiom_1_5, axiom,
% 171.95/25.08 (axiom @
% 171.95/25.08 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 171.95/25.08 thf(zip_derived_cl3, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (axiom @
% 171.95/25.08 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 171.95/25.08 inference('cnf', [status(esa)], [axiom_1_5])).
% 171.95/25.08 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_1])).
% 171.95/25.08 thf(zip_derived_cl42, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 171.95/25.08 thf(rule_2, axiom,
% 171.95/25.08 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 171.95/25.08 ( ~( theorem @ Y ) ))).
% 171.95/25.08 thf(zip_derived_cl7, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ( (theorem @ X0)
% 171.95/25.08 | ~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | ~ (theorem @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_2])).
% 171.95/25.08 thf(zip_derived_cl354, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 171.95/25.08 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl395, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 171.95/25.08 | (theorem @ (or @ X1 @ (or @ (not @ X2) @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl354])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl398, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 171.95/25.08 | (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 171.95/25.08 inference('demod', [status(thm)], [zip_derived_cl395, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl778, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: (theorem @ (or @ X1 @ (implies @ X0 @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl398])).
% 171.95/25.08 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 171.95/25.08 thf(zip_derived_cl0, plain,
% 171.95/25.08 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 171.95/25.08 inference('cnf', [status(esa)], [axiom_1_2])).
% 171.95/25.08 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_1])).
% 171.95/25.08 thf(zip_derived_cl11, plain,
% 171.95/25.08 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 171.95/25.08 thf(zip_derived_cl7, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ( (theorem @ X0)
% 171.95/25.08 | ~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | ~ (theorem @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_2])).
% 171.95/25.08 thf(zip_derived_cl17, plain,
% 171.95/25.08 (![X0 : $i]: (~ (theorem @ (or @ X0 @ X0)) | (theorem @ X0))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl793, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl778, zip_derived_cl17])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl67, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 171.95/25.08 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl21])).
% 171.95/25.08 thf(zip_derived_cl7, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ( (theorem @ X0)
% 171.95/25.08 | ~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | ~ (theorem @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_2])).
% 171.95/25.08 thf(zip_derived_cl268, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 171.95/25.08 | (theorem @ (implies @ X1 @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl295, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X1 @ (not @ X0)))
% 171.95/25.08 | (theorem @ (implies @ X0 @ (not @ X1))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl268])).
% 171.95/25.08 thf(zip_derived_cl812, plain,
% 171.95/25.08 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl793, zip_derived_cl295])).
% 171.95/25.08 thf(axiom_1_6, axiom,
% 171.95/25.08 (axiom @
% 171.95/25.08 ( implies @
% 171.95/25.08 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 171.95/25.08 thf(zip_derived_cl4, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (axiom @
% 171.95/25.08 (implies @ (implies @ X0 @ X1) @
% 171.95/25.08 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 171.95/25.08 inference('cnf', [status(esa)], [axiom_1_6])).
% 171.95/25.08 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_1])).
% 171.95/25.08 thf(zip_derived_cl52, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (implies @ (implies @ X2 @ X0) @
% 171.95/25.08 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 171.95/25.08 thf(zip_derived_cl7, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ( (theorem @ X0)
% 171.95/25.08 | ~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | ~ (theorem @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_2])).
% 171.95/25.08 thf(zip_derived_cl687, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X2 @ X0))
% 171.95/25.08 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl13356, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (implies @ (or @ X1 @ X0) @ (or @ X1 @ (not @ (not @ X0)))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl812, zip_derived_cl687])).
% 171.95/25.08 thf(zip_derived_cl7, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ( (theorem @ X0)
% 171.95/25.08 | ~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | ~ (theorem @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_2])).
% 171.95/25.08 thf(zip_derived_cl42341, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (or @ X1 @ X0))
% 171.95/25.08 | (theorem @ (or @ X1 @ (not @ (not @ X0)))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl13356, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl42789, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (or @ (equivalent @ X1 @ X0) @
% 171.95/25.08 (not @
% 171.95/25.08 (not @
% 171.95/25.08 (implies @ (implies @ X0 @ X1) @ (not @ (implies @ X1 @ X0)))))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl639, zip_derived_cl42341])).
% 171.95/25.08 thf(zip_derived_cl32, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 171.95/25.08 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl9, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ((equivalent @ X0 @ X1)
% 171.95/25.08 = (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)))),
% 171.95/25.08 inference('cnf', [status(esa)], [equivalent_defn])).
% 171.95/25.08 thf(zip_derived_cl42812, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (or @ (equivalent @ X1 @ X0) @ (not @ (equivalent @ X0 @ X1))))),
% 171.95/25.08 inference('demod', [status(thm)],
% 171.95/25.08 [zip_derived_cl42789, zip_derived_cl32, zip_derived_cl9])).
% 171.95/25.08 thf(zip_derived_cl13356, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (implies @ (or @ X1 @ X0) @ (or @ X1 @ (not @ (not @ X0)))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl812, zip_derived_cl687])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl11, plain,
% 171.95/25.08 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 171.95/25.08 thf(zip_derived_cl687, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X2 @ X0))
% 171.95/25.08 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl13373, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @ (implies @ (or @ X1 @ (or @ X0 @ X0)) @ (or @ X1 @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl687])).
% 171.95/25.08 thf(zip_derived_cl7, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ( (theorem @ X0)
% 171.95/25.08 | ~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | ~ (theorem @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_2])).
% 171.95/25.08 thf(zip_derived_cl97878, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (or @ X1 @ (or @ X0 @ X0)))
% 171.95/25.08 | (theorem @ (or @ X1 @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl13373, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl98073, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X1 @ (or @ X0 @ X0)))
% 171.95/25.08 | (theorem @ (or @ (not @ X1) @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl97878])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl98077, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X1 @ (or @ X0 @ X0)))
% 171.95/25.08 | (theorem @ (implies @ X1 @ X0)))),
% 171.95/25.08 inference('demod', [status(thm)], [zip_derived_cl98073, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl98161, plain,
% 171.95/25.08 (![X0 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (implies @ (or @ (not @ (not @ X0)) @ X0) @ (not @ (not @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)],
% 171.95/25.08 [zip_derived_cl13356, zip_derived_cl98077])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl98247, plain,
% 171.95/25.08 (![X0 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (implies @ (implies @ (not @ X0) @ X0) @ (not @ (not @ X0))))),
% 171.95/25.08 inference('demod', [status(thm)], [zip_derived_cl98161, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl793, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl778, zip_derived_cl17])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl21, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 171.95/25.08 thf(zip_derived_cl7, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ( (theorem @ X0)
% 171.95/25.08 | ~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | ~ (theorem @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_2])).
% 171.95/25.08 thf(zip_derived_cl66, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl70, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | (theorem @ (or @ X0 @ (not @ X1))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl66])).
% 171.95/25.08 thf(zip_derived_cl808, plain,
% 171.95/25.08 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl793, zip_derived_cl70])).
% 171.95/25.08 thf(zip_derived_cl42341, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (or @ X1 @ X0))
% 171.95/25.08 | (theorem @ (or @ X1 @ (not @ (not @ X0)))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl13356, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl42618, plain,
% 171.95/25.08 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ (not @ (not @ X0)))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl808, zip_derived_cl42341])).
% 171.95/25.08 thf(zip_derived_cl268, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 171.95/25.08 | (theorem @ (implies @ X1 @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl43045, plain,
% 171.95/25.08 (![X0 : $i]: (theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl42618, zip_derived_cl268])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl52, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (implies @ (implies @ X2 @ X0) @
% 171.95/25.08 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 171.95/25.08 thf(zip_derived_cl691, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (implies @ (implies @ X2 @ X0) @
% 171.95/25.08 (implies @ (or @ (not @ X1) @ X2) @ (implies @ X1 @ X0))))),
% 171.95/25.08 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl52])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl694, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (implies @ (implies @ X2 @ X0) @
% 171.95/25.08 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 171.95/25.08 inference('demod', [status(thm)], [zip_derived_cl691, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl7, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ( (theorem @ X0)
% 171.95/25.08 | ~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | ~ (theorem @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_2])).
% 171.95/25.08 thf(zip_derived_cl14285, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X2 @ X0))
% 171.95/25.08 | (theorem @ (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl694, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl43121, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @
% 171.95/25.08 (implies @ (implies @ X1 @ (not @ (not @ X0))) @ (implies @ X1 @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)],
% 171.95/25.08 [zip_derived_cl43045, zip_derived_cl14285])).
% 171.95/25.08 thf(zip_derived_cl33, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 ((implies @ (implies @ X1 @ (not @ X0)) @ X2)
% 171.95/25.08 = (or @ (and @ X1 @ X0) @ X2))),
% 171.95/25.08 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl43188, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @ (or @ (and @ X1 @ (not @ X0)) @ (implies @ X1 @ X0)))),
% 171.95/25.08 inference('demod', [status(thm)], [zip_derived_cl43121, zip_derived_cl33])).
% 171.95/25.08 thf(zip_derived_cl33, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 ((implies @ (implies @ X1 @ (not @ X0)) @ X2)
% 171.95/25.08 = (or @ (and @ X1 @ X0) @ X2))),
% 171.95/25.08 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl7, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ( (theorem @ X0)
% 171.95/25.08 | ~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | ~ (theorem @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_2])).
% 171.95/25.08 thf(zip_derived_cl158, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (~ (theorem @ (or @ (and @ X2 @ X1) @ X0))
% 171.95/25.08 | ~ (theorem @ (implies @ X2 @ (not @ X1)))
% 171.95/25.08 | (theorem @ X0))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl68747, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ( (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | ~ (theorem @ (implies @ X1 @ (not @ (not @ X0)))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl43188, zip_derived_cl158])).
% 171.95/25.08 thf(zip_derived_cl104204, plain,
% 171.95/25.08 (![X0 : $i]: (theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 171.95/25.08 inference('sup-', [status(thm)],
% 171.95/25.08 [zip_derived_cl98247, zip_derived_cl68747])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl11, plain,
% 171.95/25.08 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 171.95/25.08 thf(zip_derived_cl18, plain,
% 171.95/25.08 (![X0 : $i]:
% 171.95/25.08 (theorem @ (implies @ (implies @ X0 @ (not @ X0)) @ (not @ X0)))),
% 171.95/25.08 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl11])).
% 171.95/25.08 thf(zip_derived_cl70, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | (theorem @ (or @ X0 @ (not @ X1))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl66])).
% 171.95/25.08 thf(zip_derived_cl79, plain,
% 171.95/25.08 (![X0 : $i]:
% 171.95/25.08 (theorem @ (or @ (not @ X0) @ (not @ (implies @ X0 @ (not @ X0)))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl70])).
% 171.95/25.08 thf(zip_derived_cl32, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 171.95/25.08 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl82, plain,
% 171.95/25.08 (![X0 : $i]: (theorem @ (implies @ X0 @ (and @ X0 @ X0)))),
% 171.95/25.08 inference('demod', [status(thm)],
% 171.95/25.08 [zip_derived_cl79, zip_derived_cl32, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl687, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X2 @ X0))
% 171.95/25.08 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl13363, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (theorem @ (implies @ (or @ X1 @ X0) @ (or @ X1 @ (and @ X0 @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl687])).
% 171.95/25.08 thf(zip_derived_cl7, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ( (theorem @ X0)
% 171.95/25.08 | ~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | ~ (theorem @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [rule_2])).
% 171.95/25.08 thf(zip_derived_cl42377, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (or @ X1 @ X0))
% 171.95/25.08 | (theorem @ (or @ X1 @ (and @ X0 @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl13363, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl57665, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | (theorem @ (or @ (not @ X1) @ (and @ X0 @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl42377])).
% 171.95/25.08 thf(zip_derived_cl5, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 171.95/25.08 inference('cnf', [status(esa)], [implies_definition])).
% 171.95/25.08 thf(zip_derived_cl57690, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (implies @ X1 @ X0))
% 171.95/25.08 | (theorem @ (implies @ X1 @ (and @ X0 @ X0))))),
% 171.95/25.08 inference('demod', [status(thm)], [zip_derived_cl57665, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl104243, plain,
% 171.95/25.08 (![X0 : $i]:
% 171.95/25.08 (theorem @ (implies @ (implies @ (not @ X0) @ X0) @ (and @ X0 @ X0)))),
% 171.95/25.08 inference('sup-', [status(thm)],
% 171.95/25.08 [zip_derived_cl104204, zip_derived_cl57690])).
% 171.95/25.08 thf(zip_derived_cl32, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 171.95/25.08 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 171.95/25.08 thf(zip_derived_cl9, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 ((equivalent @ X0 @ X1)
% 171.95/25.08 = (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)))),
% 171.95/25.08 inference('cnf', [status(esa)], [equivalent_defn])).
% 171.95/25.08 thf(zip_derived_cl158, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (~ (theorem @ (or @ (and @ X2 @ X1) @ X0))
% 171.95/25.08 | ~ (theorem @ (implies @ X2 @ (not @ X1)))
% 171.95/25.08 | (theorem @ X0))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 171.95/25.08 thf(zip_derived_cl206, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (~ (theorem @ (or @ (equivalent @ X1 @ X0) @ X2))
% 171.95/25.08 | (theorem @ X2)
% 171.95/25.08 | ~ (theorem @
% 171.95/25.08 (implies @ (implies @ X1 @ X0) @ (not @ (implies @ X0 @ X1)))))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl158])).
% 171.95/25.08 thf(zip_derived_cl2969, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.95/25.08 (~ (theorem @
% 171.95/25.08 (implies @ (implies @ (not @ X0) @ X1) @ (and @ X1 @ X0)))
% 171.95/25.08 | (theorem @ X2)
% 171.95/25.08 | ~ (theorem @ (or @ (equivalent @ (not @ X0) @ X1) @ X2)))),
% 171.95/25.08 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl206])).
% 171.95/25.08 thf(zip_derived_cl134654, plain,
% 171.95/25.08 (![X0 : $i, X1 : $i]:
% 171.95/25.08 (~ (theorem @ (or @ (equivalent @ (not @ X0) @ X0) @ X1))
% 171.95/25.08 | (theorem @ X1))),
% 171.95/25.08 inference('sup-', [status(thm)],
% 171.95/25.08 [zip_derived_cl104243, zip_derived_cl2969])).
% 171.95/25.08 thf(zip_derived_cl134910, plain,
% 171.95/25.08 (![X0 : $i]: (theorem @ (not @ (equivalent @ X0 @ (not @ X0))))),
% 171.95/25.08 inference('sup-', [status(thm)],
% 171.95/25.08 [zip_derived_cl42812, zip_derived_cl134654])).
% 171.95/25.08 thf(zip_derived_cl134922, plain, ($false),
% 171.95/25.08 inference('demod', [status(thm)],
% 171.95/25.08 [zip_derived_cl10, zip_derived_cl134910])).
% 171.95/25.08
% 171.95/25.08 % SZS output end Refutation
% 171.95/25.08
% 171.95/25.08
% 171.95/25.08 % Terminating...
% 172.59/25.15 % Runner terminated.
% 172.59/25.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------