TSTP Solution File: LCL269-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL269-3 : 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.9tBkm9s9jA 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 08:59:08 EDT 2023
% Result : Unsatisfiable 77.71s 11.71s
% Output : Refutation 77.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL269-3 : TPTP v8.1.2. Released v2.3.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9tBkm9s9jA true
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 22:55:10 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.14/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.27/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.27/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.27/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 77.71/11.71 % Solved by fo/fo5.sh.
% 77.71/11.71 % done 9090 iterations in 10.940s
% 77.71/11.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 77.71/11.71 % SZS output start Refutation
% 77.71/11.71 thf(axiom_type, type, axiom: $i > $o).
% 77.71/11.71 thf(implies_type, type, implies: $i > $i > $i).
% 77.71/11.71 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 77.71/11.71 thf(p_type, type, p: $i).
% 77.71/11.71 thf(q_type, type, q: $i).
% 77.71/11.71 thf(or_type, type, or: $i > $i > $i).
% 77.71/11.71 thf(and_type, type, and: $i > $i > $i).
% 77.71/11.71 thf(theorem_type, type, theorem: $i > $o).
% 77.71/11.71 thf(not_type, type, not: $i > $i).
% 77.71/11.71 thf(prove_this, conjecture,
% 77.71/11.71 (theorem @ ( equivalent @ ( equivalent @ p @ q ) @ ( equivalent @ q @ p ) ))).
% 77.71/11.71 thf(zf_stmt_0, negated_conjecture,
% 77.71/11.71 (~( theorem @
% 77.71/11.71 ( equivalent @ ( equivalent @ p @ q ) @ ( equivalent @ q @ p ) ) )),
% 77.71/11.71 inference('cnf.neg', [status(esa)], [prove_this])).
% 77.71/11.71 thf(zip_derived_cl10, plain,
% 77.71/11.71 (~ (theorem @ (equivalent @ (equivalent @ p @ q) @ (equivalent @ q @ p)))),
% 77.71/11.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 77.71/11.71 thf(equivalent_defn, axiom,
% 77.71/11.71 (( equivalent @ P @ Q ) =
% 77.71/11.71 ( and @ ( implies @ P @ Q ) @ ( implies @ Q @ P ) ))).
% 77.71/11.71 thf(zip_derived_cl9, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ((equivalent @ X0 @ X1)
% 77.71/11.71 = (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)))),
% 77.71/11.71 inference('cnf', [status(esa)], [equivalent_defn])).
% 77.71/11.71 thf(implies_definition, axiom,
% 77.71/11.71 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 77.71/11.71 thf(zip_derived_cl5, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [implies_definition])).
% 77.71/11.71 thf(zip_derived_cl5, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [implies_definition])).
% 77.71/11.71 thf(axiom_1_4, axiom,
% 77.71/11.71 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 77.71/11.71 thf(zip_derived_cl2, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 77.71/11.71 inference('cnf', [status(esa)], [axiom_1_4])).
% 77.71/11.71 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 77.71/11.71 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 77.71/11.71 inference('cnf', [status(esa)], [rule_1])).
% 77.71/11.71 thf(zip_derived_cl21, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 77.71/11.71 thf(zip_derived_cl67, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 77.71/11.71 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl21])).
% 77.71/11.71 thf(zip_derived_cl273, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @
% 77.71/11.71 (implies @ (implies @ X1 @ (not @ X0)) @ (implies @ X0 @ (not @ X1))))),
% 77.71/11.71 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl67])).
% 77.71/11.71 thf(and_defn, axiom,
% 77.71/11.71 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 77.71/11.71 thf(zip_derived_cl8, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 77.71/11.71 inference('cnf', [status(esa)], [and_defn])).
% 77.71/11.71 thf(zip_derived_cl5, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [implies_definition])).
% 77.71/11.71 thf(zip_derived_cl33, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 77.71/11.71 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 77.71/11.71 thf(zip_derived_cl5, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [implies_definition])).
% 77.71/11.71 thf(zip_derived_cl34, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.71/11.71 ((implies @ (implies @ X1 @ (not @ X0)) @ X2)
% 77.71/11.71 = (or @ (and @ X1 @ X0) @ X2))),
% 77.71/11.71 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl5])).
% 77.71/11.71 thf(zip_derived_cl276, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @ (or @ (and @ X1 @ X0) @ (implies @ X0 @ (not @ X1))))),
% 77.71/11.71 inference('demod', [status(thm)], [zip_derived_cl273, zip_derived_cl34])).
% 77.71/11.71 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 77.71/11.71 thf(zip_derived_cl1, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 77.71/11.71 inference('cnf', [status(esa)], [axiom_1_3])).
% 77.71/11.71 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 77.71/11.71 inference('cnf', [status(esa)], [rule_1])).
% 77.71/11.71 thf(zip_derived_cl13, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 77.71/11.71 thf(zip_derived_cl5, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [implies_definition])).
% 77.71/11.71 thf(axiom_1_5, axiom,
% 77.71/11.71 (axiom @
% 77.71/11.71 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 77.71/11.71 thf(zip_derived_cl3, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.71/11.71 (axiom @
% 77.71/11.71 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 77.71/11.71 inference('cnf', [status(esa)], [axiom_1_5])).
% 77.71/11.71 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 77.71/11.71 inference('cnf', [status(esa)], [rule_1])).
% 77.71/11.71 thf(zip_derived_cl39, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.71/11.71 (theorem @
% 77.71/11.71 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 77.71/11.71 thf(rule_2, axiom,
% 77.71/11.71 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 77.71/11.71 ( ~( theorem @ Y ) ))).
% 77.71/11.71 thf(zip_derived_cl7, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ( (theorem @ X0)
% 77.71/11.71 | ~ (theorem @ (implies @ X1 @ X0))
% 77.71/11.71 | ~ (theorem @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [rule_2])).
% 77.71/11.71 thf(zip_derived_cl288, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.71/11.71 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 77.71/11.71 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl7])).
% 77.71/11.71 thf(zip_derived_cl345, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.71/11.71 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 77.71/11.71 | (theorem @ (or @ X1 @ (or @ (not @ X2) @ X0))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl288])).
% 77.71/11.71 thf(zip_derived_cl5, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [implies_definition])).
% 77.71/11.71 thf(zip_derived_cl348, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.71/11.71 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 77.71/11.71 | (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 77.71/11.71 inference('demod', [status(thm)], [zip_derived_cl345, zip_derived_cl5])).
% 77.71/11.71 thf(zip_derived_cl671, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]: (theorem @ (or @ X1 @ (implies @ X0 @ X0)))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl348])).
% 77.71/11.71 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 77.71/11.71 thf(zip_derived_cl0, plain,
% 77.71/11.71 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 77.71/11.71 inference('cnf', [status(esa)], [axiom_1_2])).
% 77.71/11.71 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 77.71/11.71 inference('cnf', [status(esa)], [rule_1])).
% 77.71/11.71 thf(zip_derived_cl11, plain,
% 77.71/11.71 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 77.71/11.71 thf(zip_derived_cl7, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ( (theorem @ X0)
% 77.71/11.71 | ~ (theorem @ (implies @ X1 @ X0))
% 77.71/11.71 | ~ (theorem @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [rule_2])).
% 77.71/11.71 thf(zip_derived_cl17, plain,
% 77.71/11.71 (![X0 : $i]: (~ (theorem @ (or @ X0 @ X0)) | (theorem @ X0))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 77.71/11.71 thf(zip_derived_cl686, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl671, zip_derived_cl17])).
% 77.71/11.71 thf(zip_derived_cl5, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [implies_definition])).
% 77.71/11.71 thf(zip_derived_cl67, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 77.71/11.71 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl21])).
% 77.71/11.71 thf(zip_derived_cl7, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ( (theorem @ X0)
% 77.71/11.71 | ~ (theorem @ (implies @ X1 @ X0))
% 77.71/11.71 | ~ (theorem @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [rule_2])).
% 77.71/11.71 thf(zip_derived_cl270, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 77.71/11.71 | (theorem @ (implies @ X1 @ X0)))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl7])).
% 77.71/11.71 thf(zip_derived_cl310, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (~ (theorem @ (implies @ X1 @ (not @ X0)))
% 77.71/11.71 | (theorem @ (implies @ X0 @ (not @ X1))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl270])).
% 77.71/11.71 thf(zip_derived_cl703, plain,
% 77.71/11.71 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl686, zip_derived_cl310])).
% 77.71/11.71 thf(axiom_1_6, axiom,
% 77.71/11.71 (axiom @
% 77.71/11.71 ( implies @
% 77.71/11.71 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 77.71/11.71 thf(zip_derived_cl4, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.71/11.71 (axiom @
% 77.71/11.71 (implies @ (implies @ X0 @ X1) @
% 77.71/11.71 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 77.71/11.71 inference('cnf', [status(esa)], [axiom_1_6])).
% 77.71/11.71 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 77.71/11.71 inference('cnf', [status(esa)], [rule_1])).
% 77.71/11.71 thf(zip_derived_cl49, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.71/11.71 (theorem @
% 77.71/11.71 (implies @ (implies @ X2 @ X0) @
% 77.71/11.71 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 77.71/11.71 thf(zip_derived_cl7, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ( (theorem @ X0)
% 77.71/11.71 | ~ (theorem @ (implies @ X1 @ X0))
% 77.71/11.71 | ~ (theorem @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [rule_2])).
% 77.71/11.71 thf(zip_derived_cl585, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.71/11.71 (~ (theorem @ (implies @ X2 @ X0))
% 77.71/11.71 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl7])).
% 77.71/11.71 thf(zip_derived_cl4785, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @
% 77.71/11.71 (implies @ (or @ X1 @ X0) @ (or @ X1 @ (not @ (not @ X0)))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl703, zip_derived_cl585])).
% 77.71/11.71 thf(zip_derived_cl7, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ( (theorem @ X0)
% 77.71/11.71 | ~ (theorem @ (implies @ X1 @ X0))
% 77.71/11.71 | ~ (theorem @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [rule_2])).
% 77.71/11.71 thf(zip_derived_cl38350, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (~ (theorem @ (or @ X1 @ X0))
% 77.71/11.71 | (theorem @ (or @ X1 @ (not @ (not @ X0)))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl4785, zip_derived_cl7])).
% 77.71/11.71 thf(zip_derived_cl39275, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @
% 77.71/11.71 (or @ (and @ X0 @ X1) @ (not @ (not @ (implies @ X1 @ (not @ X0))))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl276, zip_derived_cl38350])).
% 77.71/11.71 thf(zip_derived_cl33, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 77.71/11.71 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 77.71/11.71 thf(zip_derived_cl39314, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @ (or @ (and @ X0 @ X1) @ (not @ (and @ X1 @ X0))))),
% 77.71/11.71 inference('demod', [status(thm)], [zip_derived_cl39275, zip_derived_cl33])).
% 77.71/11.71 thf(zip_derived_cl270, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 77.71/11.71 | (theorem @ (implies @ X1 @ X0)))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl7])).
% 77.71/11.71 thf(zip_derived_cl59669, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @ (implies @ (and @ X1 @ X0) @ (and @ X0 @ X1)))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl39314, zip_derived_cl270])).
% 77.71/11.71 thf(zip_derived_cl60045, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @
% 77.71/11.71 (implies @ (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)) @
% 77.71/11.71 (equivalent @ X1 @ X0)))),
% 77.71/11.71 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl59669])).
% 77.71/11.71 thf(zip_derived_cl9, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ((equivalent @ X0 @ X1)
% 77.71/11.71 = (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)))),
% 77.71/11.71 inference('cnf', [status(esa)], [equivalent_defn])).
% 77.71/11.71 thf(zip_derived_cl60066, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @
% 77.71/11.71 (implies @ (equivalent @ X0 @ X1) @ (equivalent @ X1 @ X0)))),
% 77.71/11.71 inference('demod', [status(thm)], [zip_derived_cl60045, zip_derived_cl9])).
% 77.71/11.71 thf(zip_derived_cl9, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ((equivalent @ X0 @ X1)
% 77.71/11.71 = (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)))),
% 77.71/11.71 inference('cnf', [status(esa)], [equivalent_defn])).
% 77.71/11.71 thf(zip_derived_cl686, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl671, zip_derived_cl17])).
% 77.71/11.71 thf(zip_derived_cl5, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [implies_definition])).
% 77.71/11.71 thf(zip_derived_cl348, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.71/11.71 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 77.71/11.71 | (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 77.71/11.71 inference('demod', [status(thm)], [zip_derived_cl345, zip_derived_cl5])).
% 77.71/11.71 thf(zip_derived_cl683, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.71/11.71 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 77.71/11.71 | (theorem @ (or @ (not @ X1) @ (implies @ X2 @ X0))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl348])).
% 77.71/11.71 thf(zip_derived_cl5, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [implies_definition])).
% 77.71/11.71 thf(zip_derived_cl685, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 77.71/11.71 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 77.71/11.71 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 77.71/11.71 inference('demod', [status(thm)], [zip_derived_cl683, zip_derived_cl5])).
% 77.71/11.71 thf(zip_derived_cl1182, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl686, zip_derived_cl685])).
% 77.71/11.71 thf(zip_derived_cl7, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ( (theorem @ X0)
% 77.71/11.71 | ~ (theorem @ (implies @ X1 @ X0))
% 77.71/11.71 | ~ (theorem @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [rule_2])).
% 77.71/11.71 thf(zip_derived_cl2180, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (~ (theorem @ X1) | (theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl1182, zip_derived_cl7])).
% 77.71/11.71 thf(zip_derived_cl310, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (~ (theorem @ (implies @ X1 @ (not @ X0)))
% 77.71/11.71 | (theorem @ (implies @ X0 @ (not @ X1))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl270])).
% 77.71/11.71 thf(zip_derived_cl2393, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (~ (theorem @ X1)
% 77.71/11.71 | (theorem @ (implies @ X0 @ (not @ (implies @ X1 @ (not @ X0))))))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl2180, zip_derived_cl310])).
% 77.71/11.71 thf(zip_derived_cl33, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 77.71/11.71 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 77.71/11.71 thf(zip_derived_cl2398, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (~ (theorem @ X1) | (theorem @ (implies @ X0 @ (and @ X1 @ X0))))),
% 77.71/11.71 inference('demod', [status(thm)], [zip_derived_cl2393, zip_derived_cl33])).
% 77.71/11.71 thf(zip_derived_cl7, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ( (theorem @ X0)
% 77.71/11.71 | ~ (theorem @ (implies @ X1 @ X0))
% 77.71/11.71 | ~ (theorem @ X1))),
% 77.71/11.71 inference('cnf', [status(esa)], [rule_2])).
% 77.71/11.71 thf(zip_derived_cl2406, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (~ (theorem @ X1) | ~ (theorem @ X0) | (theorem @ (and @ X1 @ X0)))),
% 77.71/11.71 inference('sup-', [status(thm)], [zip_derived_cl2398, zip_derived_cl7])).
% 77.71/11.71 thf(zip_derived_cl2456, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 ( (theorem @ (equivalent @ X1 @ X0))
% 77.71/11.71 | ~ (theorem @ (implies @ X0 @ X1))
% 77.71/11.71 | ~ (theorem @ (implies @ X1 @ X0)))),
% 77.71/11.71 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl2406])).
% 77.71/11.71 thf(zip_derived_cl60550, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (~ (theorem @
% 77.71/11.71 (implies @ (equivalent @ X1 @ X0) @ (equivalent @ X0 @ X1)))
% 77.71/11.71 | (theorem @
% 77.71/11.71 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X0 @ X1))))),
% 77.71/11.71 inference('sup-', [status(thm)],
% 77.71/11.71 [zip_derived_cl60066, zip_derived_cl2456])).
% 77.71/11.71 thf(zip_derived_cl60066, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @
% 77.71/11.71 (implies @ (equivalent @ X0 @ X1) @ (equivalent @ X1 @ X0)))),
% 77.71/11.71 inference('demod', [status(thm)], [zip_derived_cl60045, zip_derived_cl9])).
% 77.71/11.71 thf(zip_derived_cl60574, plain,
% 77.71/11.71 (![X0 : $i, X1 : $i]:
% 77.71/11.71 (theorem @
% 77.71/11.71 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X0 @ X1)))),
% 77.71/11.71 inference('demod', [status(thm)],
% 77.71/11.71 [zip_derived_cl60550, zip_derived_cl60066])).
% 77.71/11.71 thf(zip_derived_cl61419, plain, ($false),
% 77.71/11.71 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl60574])).
% 77.71/11.71
% 77.71/11.71 % SZS output end Refutation
% 77.71/11.71
% 77.71/11.71
% 77.71/11.71 % Terminating...
% 78.10/11.81 % Runner terminated.
% 78.10/11.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------