TSTP Solution File: LCL240-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL240-3 : 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.oSO03nKYty 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 08:59:00 EDT 2023
% Result : Unsatisfiable 35.16s 5.62s
% Output : Refutation 35.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : LCL240-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oSO03nKYty true
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 19:56:39 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.23/0.66 % Total configuration time : 435
% 0.23/0.66 % Estimated wc time : 1092
% 0.23/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 35.16/5.62 % Solved by fo/fo3_bce.sh.
% 35.16/5.62 % BCE start: 10
% 35.16/5.62 % BCE eliminated: 0
% 35.16/5.62 % PE start: 10
% 35.16/5.62 logic: eq
% 35.16/5.62 % PE eliminated: 1
% 35.16/5.62 % done 6296 iterations in 4.856s
% 35.16/5.62 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 35.16/5.62 % SZS output start Refutation
% 35.16/5.62 thf(p_type, type, p: $i).
% 35.16/5.62 thf(axiom_type, type, axiom: $i > $o).
% 35.16/5.62 thf(implies_type, type, implies: $i > $i > $i).
% 35.16/5.62 thf(q_type, type, q: $i).
% 35.16/5.62 thf(or_type, type, or: $i > $i > $i).
% 35.16/5.62 thf(and_type, type, and: $i > $i > $i).
% 35.16/5.62 thf(theorem_type, type, theorem: $i > $o).
% 35.16/5.62 thf(not_type, type, not: $i > $i).
% 35.16/5.62 thf(prove_this, conjecture, (theorem @ ( implies @ ( and @ p @ q ) @ p ))).
% 35.16/5.62 thf(zf_stmt_0, negated_conjecture,
% 35.16/5.62 (~( theorem @ ( implies @ ( and @ p @ q ) @ p ) )),
% 35.16/5.62 inference('cnf.neg', [status(esa)], [prove_this])).
% 35.16/5.62 thf(zip_derived_cl9, plain, (~ (theorem @ (implies @ (and @ p @ q) @ p))),
% 35.16/5.62 inference('cnf', [status(esa)], [zf_stmt_0])).
% 35.16/5.62 thf(and_defn, axiom,
% 35.16/5.62 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 35.16/5.62 thf(zip_derived_cl8, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 35.16/5.62 inference('cnf', [status(esa)], [and_defn])).
% 35.16/5.62 thf(implies_definition, axiom,
% 35.16/5.62 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl44, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 35.16/5.62 thf(zip_derived_cl45, plain,
% 35.16/5.62 (~ (theorem @ (implies @ (not @ (implies @ p @ (not @ q))) @ p))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl44])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 35.16/5.62 thf(zip_derived_cl1, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('cnf', [status(esa)], [axiom_1_3])).
% 35.16/5.62 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 35.16/5.62 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_1])).
% 35.16/5.62 thf(zip_derived_cl33, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('dp-resolution', [status(thm)],
% 35.16/5.62 [zip_derived_cl1, zip_derived_cl6])).
% 35.16/5.62 thf(zip_derived_cl43, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 35.16/5.62 thf(zip_derived_cl43, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(axiom_1_5, axiom,
% 35.16/5.62 (axiom @
% 35.16/5.62 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 35.16/5.62 thf(zip_derived_cl3, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (axiom @
% 35.16/5.62 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 35.16/5.62 inference('cnf', [status(esa)], [axiom_1_5])).
% 35.16/5.62 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_1])).
% 35.16/5.62 thf(zip_derived_cl35, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (theorem @
% 35.16/5.62 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 35.16/5.62 inference('dp-resolution', [status(thm)],
% 35.16/5.62 [zip_derived_cl3, zip_derived_cl6])).
% 35.16/5.62 thf(rule_2, axiom,
% 35.16/5.62 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 35.16/5.62 ( ~( theorem @ Y ) ))).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl50, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 35.16/5.62 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl120, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 35.16/5.62 | (theorem @ (or @ (not @ X1) @ (or @ X2 @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl50])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl123, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 35.16/5.62 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl5])).
% 35.16/5.62 thf(zip_derived_cl135, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 35.16/5.62 | (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl123])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl136, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 35.16/5.62 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl135, zip_derived_cl5])).
% 35.16/5.62 thf(zip_derived_cl154, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl136])).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl167, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ X1) | (theorem @ (implies @ X0 @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl172, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl167])).
% 35.16/5.62 thf(zip_derived_cl154, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl136])).
% 35.16/5.62 thf(zip_derived_cl123, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 35.16/5.62 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl5])).
% 35.16/5.62 thf(zip_derived_cl33, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('dp-resolution', [status(thm)],
% 35.16/5.62 [zip_derived_cl1, zip_derived_cl6])).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl41, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: (~ (theorem @ X0) | (theorem @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl131, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 ( (theorem @ (implies @ X1 @ (or @ X2 @ X0)))
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0)))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl41])).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl479, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ X0))
% 35.16/5.62 | ~ (theorem @ X2)
% 35.16/5.62 | (theorem @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl511, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 ( (theorem @ (or @ X2 @ (implies @ X0 @ X0))) | ~ (theorem @ X1))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl479])).
% 35.16/5.62 thf(zip_derived_cl536, plain,
% 35.16/5.62 (![X1 : $i, X2 : $i]: (theorem @ (or @ X2 @ (implies @ X1 @ X1)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl511])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl35, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (theorem @
% 35.16/5.62 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 35.16/5.62 inference('dp-resolution', [status(thm)],
% 35.16/5.62 [zip_derived_cl3, zip_derived_cl6])).
% 35.16/5.62 thf(zip_derived_cl52, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (theorem @
% 35.16/5.62 (implies @ (or @ X1 @ (or @ (not @ X2) @ X0)) @
% 35.16/5.62 (implies @ X2 @ (or @ X1 @ X0))))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl35])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl56, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (theorem @
% 35.16/5.62 (implies @ (or @ X1 @ (implies @ X2 @ X0)) @
% 35.16/5.62 (implies @ X2 @ (or @ X1 @ X0))))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl5])).
% 35.16/5.62 thf(zip_derived_cl43, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl66, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ X0) | (theorem @ (implies @ X1 @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl136, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 35.16/5.62 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl135, zip_derived_cl5])).
% 35.16/5.62 thf(zip_derived_cl152, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl136])).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl228, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ X0))
% 35.16/5.62 | ~ (theorem @ X2)
% 35.16/5.62 | (theorem @ (implies @ X1 @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl250, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.16/5.62 ( (theorem @ (implies @ X3 @ (implies @ X2 @ (or @ X1 @ X0))))
% 35.16/5.62 | ~ (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl228])).
% 35.16/5.62 thf(zip_derived_cl1466, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (theorem @ (implies @ X2 @ (implies @ X0 @ (or @ X1 @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl536, zip_derived_cl250])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 35.16/5.62 thf(zip_derived_cl0, plain,
% 35.16/5.62 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 35.16/5.62 inference('cnf', [status(esa)], [axiom_1_2])).
% 35.16/5.62 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_1])).
% 35.16/5.62 thf(zip_derived_cl32, plain,
% 35.16/5.62 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 35.16/5.62 inference('dp-resolution', [status(thm)],
% 35.16/5.62 [zip_derived_cl0, zip_derived_cl6])).
% 35.16/5.62 thf(axiom_1_6, axiom,
% 35.16/5.62 (axiom @
% 35.16/5.62 ( implies @
% 35.16/5.62 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 35.16/5.62 thf(zip_derived_cl4, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (axiom @
% 35.16/5.62 (implies @ (implies @ X0 @ X1) @
% 35.16/5.62 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 35.16/5.62 inference('cnf', [status(esa)], [axiom_1_6])).
% 35.16/5.62 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_1])).
% 35.16/5.62 thf(zip_derived_cl36, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (theorem @
% 35.16/5.62 (implies @ (implies @ X2 @ X0) @
% 35.16/5.62 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 35.16/5.62 inference('dp-resolution', [status(thm)],
% 35.16/5.62 [zip_derived_cl4, zip_derived_cl6])).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl60, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ X0))
% 35.16/5.62 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl256, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ X0))
% 35.16/5.62 | ~ (theorem @ (or @ X1 @ X2))
% 35.16/5.62 | (theorem @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl305, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ (or @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ (or @ X1 @ (or @ X0 @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl256])).
% 35.16/5.62 thf(zip_derived_cl333, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X1 @ (or @ X0 @ X0)))
% 35.16/5.62 | (theorem @ (or @ (not @ X1) @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl305])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl335, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X1 @ (or @ X0 @ X0)))
% 35.16/5.62 | (theorem @ (implies @ X1 @ X0)))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl333, zip_derived_cl5])).
% 35.16/5.62 thf(zip_derived_cl172, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl167])).
% 35.16/5.62 thf(zip_derived_cl136, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 35.16/5.62 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl135, zip_derived_cl5])).
% 35.16/5.62 thf(zip_derived_cl193, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl136])).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl212, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ X1) | (theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl349, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ (implies @ (implies @ X1 @ (or @ X0 @ X0)) @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl335, zip_derived_cl212])).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl2856, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ X1)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ (or @ X0 @ X0)))
% 35.16/5.62 | (theorem @ X0))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl349, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl60, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ X0))
% 35.16/5.62 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl2906, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (or @ X0 @ X1))
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0)))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl2856, zip_derived_cl60])).
% 35.16/5.62 thf(zip_derived_cl536, plain,
% 35.16/5.62 (![X1 : $i, X2 : $i]: (theorem @ (or @ X2 @ (implies @ X1 @ X1)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl511])).
% 35.16/5.62 thf(zip_derived_cl2973, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ (implies @ X0 @ X0) @ X1)) | (theorem @ X1))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl2906, zip_derived_cl536])).
% 35.16/5.62 thf(zip_derived_cl193, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl136])).
% 35.16/5.62 thf(zip_derived_cl3035, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (theorem @ (implies @ (implies @ (implies @ X1 @ X1) @ X0) @ X0))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl2973, zip_derived_cl193])).
% 35.16/5.62 thf(zip_derived_cl212, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ X1) | (theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl136, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 35.16/5.62 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl135, zip_derived_cl5])).
% 35.16/5.62 thf(zip_derived_cl216, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ X2)
% 35.16/5.62 | (theorem @
% 35.16/5.62 (implies @ X1 @
% 35.16/5.62 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl212, zip_derived_cl136])).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl875, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ X2)
% 35.16/5.62 | ~ (theorem @ X1)
% 35.16/5.62 | (theorem @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl13617, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ X1)
% 35.16/5.62 | ~ (theorem @ X2)
% 35.16/5.62 | ~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 35.16/5.62 | (theorem @ X0))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl875, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl60, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ X0))
% 35.16/5.62 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl259, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 ( (theorem @ (implies @ (or @ (not @ X1) @ X2) @ (implies @ X1 @ X0)))
% 35.16/5.62 | ~ (theorem @ (implies @ X2 @ X0)))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl60])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl261, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 ( (theorem @ (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0)))
% 35.16/5.62 | ~ (theorem @ (implies @ X2 @ X0)))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl5])).
% 35.16/5.62 thf(zip_derived_cl18302, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X2))
% 35.16/5.62 | ~ (theorem @ X1)
% 35.16/5.62 | ~ (theorem @ (implies @ X2 @ X0)))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl13617, zip_derived_cl261])).
% 35.16/5.62 thf(zip_derived_cl18687, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X0 @ X2))
% 35.16/5.62 | ~ (theorem @ (implies @ (implies @ X1 @ X1) @ X0))
% 35.16/5.62 | (theorem @ X2))),
% 35.16/5.62 inference('sup-', [status(thm)],
% 35.16/5.62 [zip_derived_cl3035, zip_derived_cl18302])).
% 35.16/5.62 thf(zip_derived_cl26769, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X3 : $i]:
% 35.16/5.62 ( (theorem @ X3)
% 35.16/5.62 | ~ (theorem @ (implies @ (implies @ X0 @ (or @ X1 @ X0)) @ X3)))),
% 35.16/5.62 inference('sup-', [status(thm)],
% 35.16/5.62 [zip_derived_cl1466, zip_derived_cl18687])).
% 35.16/5.62 thf(zip_derived_cl261, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 ( (theorem @ (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0)))
% 35.16/5.62 | ~ (theorem @ (implies @ X2 @ X0)))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl5])).
% 35.16/5.62 thf(zip_derived_cl27334, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 ( (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ (implies @ (or @ X2 @ X1) @ X0)))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl26769, zip_derived_cl261])).
% 35.16/5.62 thf(axiom_1_4, axiom,
% 35.16/5.62 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 35.16/5.62 thf(zip_derived_cl2, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('cnf', [status(esa)], [axiom_1_4])).
% 35.16/5.62 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_1])).
% 35.16/5.62 thf(zip_derived_cl34, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('dp-resolution', [status(thm)],
% 35.16/5.62 [zip_derived_cl2, zip_derived_cl6])).
% 35.16/5.62 thf(zip_derived_cl29435, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl27334, zip_derived_cl34])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl34, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('dp-resolution', [status(thm)],
% 35.16/5.62 [zip_derived_cl2, zip_derived_cl6])).
% 35.16/5.62 thf(zip_derived_cl49, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (theorem @ (implies @ (implies @ X1 @ X0) @ (or @ X0 @ (not @ X1))))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 35.16/5.62 thf(zip_derived_cl2973, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ (implies @ X0 @ X0) @ X1)) | (theorem @ X1))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl2906, zip_derived_cl536])).
% 35.16/5.62 thf(zip_derived_cl152, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl136])).
% 35.16/5.62 thf(zip_derived_cl3030, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 ( (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ (implies @ (implies @ X2 @ X2) @ X0)))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl2973, zip_derived_cl152])).
% 35.16/5.62 thf(zip_derived_cl3322, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (theorem @ (implies @ X1 @ (or @ X0 @ (not @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl3030])).
% 35.16/5.62 thf(zip_derived_cl18687, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X0 @ X2))
% 35.16/5.62 | ~ (theorem @ (implies @ (implies @ X1 @ X1) @ X0))
% 35.16/5.62 | (theorem @ X2))),
% 35.16/5.62 inference('sup-', [status(thm)],
% 35.16/5.62 [zip_derived_cl3035, zip_derived_cl18302])).
% 35.16/5.62 thf(zip_derived_cl19465, plain,
% 35.16/5.62 (![X0 : $i, X2 : $i]:
% 35.16/5.62 ( (theorem @ X2)
% 35.16/5.62 | ~ (theorem @ (implies @ (or @ X0 @ (not @ X0)) @ X2)))),
% 35.16/5.62 inference('sup-', [status(thm)],
% 35.16/5.62 [zip_derived_cl3322, zip_derived_cl18687])).
% 35.16/5.62 thf(zip_derived_cl60, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ X0))
% 35.16/5.62 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl19833, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ (or @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ (implies @ (not @ X1) @ X0)))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl19465, zip_derived_cl60])).
% 35.16/5.62 thf(zip_derived_cl172, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl167])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl34, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('dp-resolution', [status(thm)],
% 35.16/5.62 [zip_derived_cl2, zip_derived_cl6])).
% 35.16/5.62 thf(zip_derived_cl48, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 35.16/5.62 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 35.16/5.62 thf(zip_derived_cl7, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ X0)
% 35.16/5.62 | ~ (theorem @ (implies @ X1 @ X0))
% 35.16/5.62 | ~ (theorem @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [rule_2])).
% 35.16/5.62 thf(zip_derived_cl86, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 35.16/5.62 | (theorem @ (implies @ X1 @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl100, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X1 @ (not @ X0)))
% 35.16/5.62 | (theorem @ (implies @ X0 @ (not @ X1))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl86])).
% 35.16/5.62 thf(zip_derived_cl194, plain,
% 35.16/5.62 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl100])).
% 35.16/5.62 thf(zip_derived_cl256, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ X2 @ X0))
% 35.16/5.62 | ~ (theorem @ (or @ X1 @ X2))
% 35.16/5.62 | (theorem @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl299, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 ( (theorem @ (or @ X1 @ (not @ (not @ X0))))
% 35.16/5.62 | ~ (theorem @ (or @ X1 @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl256])).
% 35.16/5.62 thf(zip_derived_cl86, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 35.16/5.62 | (theorem @ (implies @ X1 @ X0)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl7])).
% 35.16/5.62 thf(zip_derived_cl1971, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ (or @ X1 @ X0))
% 35.16/5.62 | (theorem @ (implies @ (not @ X0) @ X1)))),
% 35.16/5.62 inference('sup-', [status(thm)], [zip_derived_cl299, zip_derived_cl86])).
% 35.16/5.62 thf(zip_derived_cl22205, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (~ (theorem @ (implies @ (not @ X1) @ X0))
% 35.16/5.62 | (theorem @ (implies @ (not @ X0) @ X1)))),
% 35.16/5.62 inference('sup-', [status(thm)],
% 35.16/5.62 [zip_derived_cl19833, zip_derived_cl1971])).
% 35.16/5.62 thf(zip_derived_cl29974, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (theorem @ (implies @ (not @ (or @ (not @ X1) @ X0)) @ X1))),
% 35.16/5.62 inference('sup-', [status(thm)],
% 35.16/5.62 [zip_derived_cl29435, zip_derived_cl22205])).
% 35.16/5.62 thf(zip_derived_cl5, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 35.16/5.62 inference('cnf', [status(esa)], [implies_definition])).
% 35.16/5.62 thf(zip_derived_cl30019, plain,
% 35.16/5.62 (![X0 : $i, X1 : $i]:
% 35.16/5.62 (theorem @ (implies @ (not @ (implies @ X1 @ X0)) @ X1))),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl29974, zip_derived_cl5])).
% 35.16/5.62 thf(zip_derived_cl33002, plain, ($false),
% 35.16/5.62 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl30019])).
% 35.16/5.62
% 35.16/5.62 % SZS output end Refutation
% 35.16/5.62
% 35.16/5.62
% 35.16/5.62 % Terminating...
% 35.46/5.69 % Runner terminated.
% 35.46/5.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------