TSTP Solution File: LCL271-3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL271-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dENypk381Q true
% Computer : n007.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 08:59:09 EDT 2023
% Result : Unsatisfiable 40.34s 6.34s
% Output : Refutation 40.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : LCL271-3 : TPTP v8.1.2. Released v2.3.0.
% 0.08/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dENypk381Q true
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Aug 24 17:53:25 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.41/0.60 % Total configuration time : 435
% 0.41/0.60 % Estimated wc time : 1092
% 0.41/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 40.34/6.34 % Solved by fo/fo3_bce.sh.
% 40.34/6.34 % BCE start: 11
% 40.34/6.34 % BCE eliminated: 0
% 40.34/6.34 % PE start: 11
% 40.34/6.34 logic: eq
% 40.34/6.34 % PE eliminated: 1
% 40.34/6.34 % done 3954 iterations in 5.596s
% 40.34/6.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 40.34/6.34 % SZS output start Refutation
% 40.34/6.34 thf(axiom_type, type, axiom: $i > $o).
% 40.34/6.34 thf(implies_type, type, implies: $i > $i > $i).
% 40.34/6.34 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 40.34/6.34 thf(p_type, type, p: $i).
% 40.34/6.34 thf(or_type, type, or: $i > $i > $i).
% 40.34/6.34 thf(and_type, type, and: $i > $i > $i).
% 40.34/6.34 thf(theorem_type, type, theorem: $i > $o).
% 40.34/6.34 thf(not_type, type, not: $i > $i).
% 40.34/6.34 thf(prove_this, conjecture, (theorem @ ( equivalent @ p @ ( and @ p @ p ) ))).
% 40.34/6.34 thf(zf_stmt_0, negated_conjecture,
% 40.34/6.34 (~( theorem @ ( equivalent @ p @ ( and @ p @ p ) ) )),
% 40.34/6.34 inference('cnf.neg', [status(esa)], [prove_this])).
% 40.34/6.34 thf(zip_derived_cl10, plain,
% 40.34/6.34 (~ (theorem @ (equivalent @ p @ (and @ p @ p)))),
% 40.34/6.34 inference('cnf', [status(esa)], [zf_stmt_0])).
% 40.34/6.34 thf(and_defn, axiom,
% 40.34/6.34 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 40.34/6.34 thf(zip_derived_cl8, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 40.34/6.34 inference('cnf', [status(esa)], [and_defn])).
% 40.34/6.34 thf(implies_definition, axiom,
% 40.34/6.34 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 40.34/6.34 thf(zip_derived_cl5, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [implies_definition])).
% 40.34/6.34 thf(zip_derived_cl45, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 40.34/6.34 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 40.34/6.34 thf(zip_derived_cl46, plain,
% 40.34/6.34 (~ (theorem @ (equivalent @ p @ (not @ (implies @ p @ (not @ p)))))),
% 40.34/6.34 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl45])).
% 40.34/6.34 thf(equivalent_defn, axiom,
% 40.34/6.34 (( equivalent @ P @ Q ) =
% 40.34/6.34 ( and @ ( implies @ P @ Q ) @ ( implies @ Q @ P ) ))).
% 40.34/6.34 thf(zip_derived_cl9, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ((equivalent @ X0 @ X1)
% 40.34/6.34 = (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)))),
% 40.34/6.34 inference('cnf', [status(esa)], [equivalent_defn])).
% 40.34/6.34 thf(zip_derived_cl45, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 40.34/6.34 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 40.34/6.34 thf(zip_derived_cl47, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ((equivalent @ X0 @ X1)
% 40.34/6.34 = (not @
% 40.34/6.34 (implies @ (implies @ X0 @ X1) @ (not @ (implies @ X1 @ X0)))))),
% 40.34/6.34 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl45])).
% 40.34/6.34 thf(zip_derived_cl48, plain,
% 40.34/6.34 (~ (theorem @
% 40.34/6.34 (not @
% 40.34/6.34 (implies @ (implies @ p @ (not @ (implies @ p @ (not @ p)))) @
% 40.34/6.34 (not @ (implies @ (not @ (implies @ p @ (not @ p))) @ p)))))),
% 40.34/6.34 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl47])).
% 40.34/6.34 thf(zip_derived_cl5, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [implies_definition])).
% 40.34/6.34 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 40.34/6.34 thf(zip_derived_cl1, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('cnf', [status(esa)], [axiom_1_3])).
% 40.34/6.34 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 40.34/6.34 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_1])).
% 40.34/6.34 thf(zip_derived_cl34, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('dp-resolution', [status(thm)],
% 40.34/6.34 [zip_derived_cl1, zip_derived_cl6])).
% 40.34/6.34 thf(zip_derived_cl44, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 40.34/6.34 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 40.34/6.34 thf(zip_derived_cl44, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 40.34/6.34 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 40.34/6.34 thf(zip_derived_cl5, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [implies_definition])).
% 40.34/6.34 thf(zip_derived_cl5, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [implies_definition])).
% 40.34/6.34 thf(axiom_1_5, axiom,
% 40.34/6.34 (axiom @
% 40.34/6.34 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 40.34/6.34 thf(zip_derived_cl3, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (axiom @
% 40.34/6.34 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 40.34/6.34 inference('cnf', [status(esa)], [axiom_1_5])).
% 40.34/6.34 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_1])).
% 40.34/6.34 thf(zip_derived_cl36, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (theorem @
% 40.34/6.34 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 40.34/6.34 inference('dp-resolution', [status(thm)],
% 40.34/6.34 [zip_derived_cl3, zip_derived_cl6])).
% 40.34/6.34 thf(rule_2, axiom,
% 40.34/6.34 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 40.34/6.34 ( ~( theorem @ Y ) ))).
% 40.34/6.34 thf(zip_derived_cl7, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ X0)
% 40.34/6.34 | ~ (theorem @ (implies @ X1 @ X0))
% 40.34/6.34 | ~ (theorem @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_2])).
% 40.34/6.34 thf(zip_derived_cl53, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 40.34/6.34 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl106, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 40.34/6.34 | (theorem @ (or @ (not @ X1) @ (or @ X2 @ X0))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl53])).
% 40.34/6.34 thf(zip_derived_cl5, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [implies_definition])).
% 40.34/6.34 thf(zip_derived_cl109, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 40.34/6.34 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 40.34/6.34 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl5])).
% 40.34/6.34 thf(zip_derived_cl147, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 40.34/6.34 | (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl109])).
% 40.34/6.34 thf(zip_derived_cl5, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [implies_definition])).
% 40.34/6.34 thf(zip_derived_cl148, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 40.34/6.34 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 40.34/6.34 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl5])).
% 40.34/6.34 thf(zip_derived_cl164, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl148])).
% 40.34/6.34 thf(zip_derived_cl7, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ X0)
% 40.34/6.34 | ~ (theorem @ (implies @ X1 @ X0))
% 40.34/6.34 | ~ (theorem @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_2])).
% 40.34/6.34 thf(zip_derived_cl170, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (~ (theorem @ X1) | (theorem @ (implies @ X0 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl175, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl170])).
% 40.34/6.34 thf(zip_derived_cl148, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 40.34/6.34 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 40.34/6.34 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl5])).
% 40.34/6.34 thf(zip_derived_cl196, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl148])).
% 40.34/6.34 thf(zip_derived_cl7, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ X0)
% 40.34/6.34 | ~ (theorem @ (implies @ X1 @ X0))
% 40.34/6.34 | ~ (theorem @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_2])).
% 40.34/6.34 thf(zip_derived_cl228, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (~ (theorem @ X1) | (theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl5, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [implies_definition])).
% 40.34/6.34 thf(zip_derived_cl5, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [implies_definition])).
% 40.34/6.34 thf(axiom_1_4, axiom,
% 40.34/6.34 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 40.34/6.34 thf(zip_derived_cl2, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('cnf', [status(esa)], [axiom_1_4])).
% 40.34/6.34 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_1])).
% 40.34/6.34 thf(zip_derived_cl35, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('dp-resolution', [status(thm)],
% 40.34/6.34 [zip_derived_cl2, zip_derived_cl6])).
% 40.34/6.34 thf(zip_derived_cl7, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ X0)
% 40.34/6.34 | ~ (theorem @ (implies @ X1 @ X0))
% 40.34/6.34 | ~ (theorem @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_2])).
% 40.34/6.34 thf(zip_derived_cl49, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl79, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (~ (theorem @ (implies @ X1 @ X0))
% 40.34/6.34 | (theorem @ (or @ X0 @ (not @ X1))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl49])).
% 40.34/6.34 thf(zip_derived_cl95, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ (implies @ X1 @ (not @ X0)))
% 40.34/6.34 | ~ (theorem @ (implies @ X0 @ (not @ X1))))),
% 40.34/6.34 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl79])).
% 40.34/6.34 thf(zip_derived_cl233, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (~ (theorem @ X1)
% 40.34/6.34 | (theorem @ (implies @ X0 @ (not @ (implies @ X1 @ (not @ X0))))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl228, zip_derived_cl95])).
% 40.34/6.34 thf(zip_derived_cl7, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ X0)
% 40.34/6.34 | ~ (theorem @ (implies @ X1 @ X0))
% 40.34/6.34 | ~ (theorem @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_2])).
% 40.34/6.34 thf(zip_derived_cl1042, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (~ (theorem @ X1)
% 40.34/6.34 | ~ (theorem @ X0)
% 40.34/6.34 | (theorem @ (not @ (implies @ X1 @ (not @ X0)))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl233, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl18676, plain,
% 40.34/6.34 ((~ (theorem @ (implies @ (not @ (implies @ p @ (not @ p))) @ p))
% 40.34/6.34 | ~ (theorem @ (implies @ p @ (not @ (implies @ p @ (not @ p))))))),
% 40.34/6.34 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl1042])).
% 40.34/6.34 thf(zip_derived_cl5, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [implies_definition])).
% 40.34/6.34 thf(zip_derived_cl35, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('dp-resolution', [status(thm)],
% 40.34/6.34 [zip_derived_cl2, zip_derived_cl6])).
% 40.34/6.34 thf(zip_derived_cl52, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (theorem @ (implies @ (implies @ X1 @ X0) @ (or @ X0 @ (not @ X1))))),
% 40.34/6.34 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl35])).
% 40.34/6.34 thf(zip_derived_cl79, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (~ (theorem @ (implies @ X1 @ X0))
% 40.34/6.34 | (theorem @ (or @ X0 @ (not @ X1))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl49])).
% 40.34/6.34 thf(zip_derived_cl175, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl170])).
% 40.34/6.34 thf(zip_derived_cl95, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ (implies @ X1 @ (not @ X0)))
% 40.34/6.34 | ~ (theorem @ (implies @ X0 @ (not @ X1))))),
% 40.34/6.34 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl79])).
% 40.34/6.34 thf(zip_derived_cl197, plain,
% 40.34/6.34 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl95])).
% 40.34/6.34 thf(axiom_1_6, axiom,
% 40.34/6.34 (axiom @
% 40.34/6.34 ( implies @
% 40.34/6.34 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 40.34/6.34 thf(zip_derived_cl4, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (axiom @
% 40.34/6.34 (implies @ (implies @ X0 @ X1) @
% 40.34/6.34 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 40.34/6.34 inference('cnf', [status(esa)], [axiom_1_6])).
% 40.34/6.34 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_1])).
% 40.34/6.34 thf(zip_derived_cl37, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (theorem @
% 40.34/6.34 (implies @ (implies @ X2 @ X0) @
% 40.34/6.34 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 40.34/6.34 inference('dp-resolution', [status(thm)],
% 40.34/6.34 [zip_derived_cl4, zip_derived_cl6])).
% 40.34/6.34 thf(zip_derived_cl7, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ X0)
% 40.34/6.34 | ~ (theorem @ (implies @ X1 @ X0))
% 40.34/6.34 | ~ (theorem @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_2])).
% 40.34/6.34 thf(zip_derived_cl70, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (implies @ X2 @ X0))
% 40.34/6.34 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl7, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ X0)
% 40.34/6.34 | ~ (theorem @ (implies @ X1 @ X0))
% 40.34/6.34 | ~ (theorem @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_2])).
% 40.34/6.34 thf(zip_derived_cl235, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (implies @ X2 @ X0))
% 40.34/6.34 | ~ (theorem @ (or @ X1 @ X2))
% 40.34/6.34 | (theorem @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl297, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ (or @ X1 @ (not @ (not @ X0))))
% 40.34/6.34 | ~ (theorem @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl197, zip_derived_cl235])).
% 40.34/6.34 thf(zip_derived_cl5, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [implies_definition])).
% 40.34/6.34 thf(zip_derived_cl35, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('dp-resolution', [status(thm)],
% 40.34/6.34 [zip_derived_cl2, zip_derived_cl6])).
% 40.34/6.34 thf(zip_derived_cl51, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 40.34/6.34 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl35])).
% 40.34/6.34 thf(zip_derived_cl7, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ X0)
% 40.34/6.34 | ~ (theorem @ (implies @ X1 @ X0))
% 40.34/6.34 | ~ (theorem @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_2])).
% 40.34/6.34 thf(zip_derived_cl110, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 40.34/6.34 | (theorem @ (implies @ X1 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl1941, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (~ (theorem @ (or @ X1 @ X0))
% 40.34/6.34 | (theorem @ (implies @ (not @ X0) @ X1)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl110])).
% 40.34/6.34 thf(zip_derived_cl175, plain, (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl170])).
% 40.34/6.34 thf(zip_derived_cl34, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('dp-resolution', [status(thm)],
% 40.34/6.34 [zip_derived_cl1, zip_derived_cl6])).
% 40.34/6.34 thf(zip_derived_cl7, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ X0)
% 40.34/6.34 | ~ (theorem @ (implies @ X1 @ X0))
% 40.34/6.34 | ~ (theorem @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_2])).
% 40.34/6.34 thf(zip_derived_cl42, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (~ (theorem @ X0) | (theorem @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl164, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl148])).
% 40.34/6.34 thf(zip_derived_cl235, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (implies @ X2 @ X0))
% 40.34/6.34 | ~ (theorem @ (or @ X1 @ X2))
% 40.34/6.34 | (theorem @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl292, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 ( (theorem @ (or @ X2 @ (implies @ X0 @ X0)))
% 40.34/6.34 | ~ (theorem @ (or @ X2 @ X1)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl164, zip_derived_cl235])).
% 40.34/6.34 thf(zip_derived_cl459, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ X0) | (theorem @ (or @ X1 @ (implies @ X2 @ X2))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl292])).
% 40.34/6.34 thf(zip_derived_cl491, plain,
% 40.34/6.34 (![X1 : $i, X2 : $i]: (theorem @ (or @ X2 @ (implies @ X1 @ X1)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl175, zip_derived_cl459])).
% 40.34/6.34 thf(zip_derived_cl1974, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (theorem @ (implies @ (not @ (implies @ X0 @ X0)) @ X1))),
% 40.34/6.34 inference('sup+', [status(thm)], [zip_derived_cl1941, zip_derived_cl491])).
% 40.34/6.34 thf(zip_derived_cl235, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (implies @ X2 @ X0))
% 40.34/6.34 | ~ (theorem @ (or @ X1 @ X2))
% 40.34/6.34 | (theorem @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl2146, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 ( (theorem @ (or @ X2 @ X0))
% 40.34/6.34 | ~ (theorem @ (or @ X2 @ (not @ (implies @ X1 @ X1)))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl1974, zip_derived_cl235])).
% 40.34/6.34 thf(zip_derived_cl2294, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (implies @ (implies @ X0 @ X0) @ X1))
% 40.34/6.34 | (theorem @ (or @ X1 @ X2)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl2146])).
% 40.34/6.34 thf(zip_derived_cl2381, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (theorem @ (or @ (or @ X0 @ (not @ X0)) @ X1))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl2294])).
% 40.34/6.34 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 40.34/6.34 thf(zip_derived_cl0, plain,
% 40.34/6.34 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 40.34/6.34 inference('cnf', [status(esa)], [axiom_1_2])).
% 40.34/6.34 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 40.34/6.34 inference('cnf', [status(esa)], [rule_1])).
% 40.34/6.34 thf(zip_derived_cl33, plain,
% 40.34/6.34 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 40.34/6.34 inference('dp-resolution', [status(thm)],
% 40.34/6.34 [zip_derived_cl0, zip_derived_cl6])).
% 40.34/6.34 thf(zip_derived_cl235, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (implies @ X2 @ X0))
% 40.34/6.34 | ~ (theorem @ (or @ X1 @ X2))
% 40.34/6.34 | (theorem @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl303, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ (or @ X1 @ X0))
% 40.34/6.34 | ~ (theorem @ (or @ X1 @ (or @ X0 @ X0))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl235])).
% 40.34/6.34 thf(zip_derived_cl42, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (~ (theorem @ X0) | (theorem @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl362, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ (or @ X0 @ X0)))),
% 40.34/6.34 inference('sup+', [status(thm)], [zip_derived_cl303, zip_derived_cl42])).
% 40.34/6.34 thf(zip_derived_cl2671, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (theorem @ (or @ X1 @ (or @ X0 @ (not @ X0))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl2381, zip_derived_cl362])).
% 40.34/6.34 thf(zip_derived_cl53, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 40.34/6.34 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl2952, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (theorem @ (or @ X0 @ (or @ X1 @ (not @ X0))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl2671, zip_derived_cl53])).
% 40.34/6.34 thf(zip_derived_cl51, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 40.34/6.34 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl35])).
% 40.34/6.34 thf(zip_derived_cl235, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 (~ (theorem @ (implies @ X2 @ X0))
% 40.34/6.34 | ~ (theorem @ (or @ X1 @ X2))
% 40.34/6.34 | (theorem @ (or @ X1 @ X0)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl7])).
% 40.34/6.34 thf(zip_derived_cl304, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.34/6.34 ( (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 40.34/6.34 | ~ (theorem @ (or @ X2 @ (or @ X0 @ (not @ X1)))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl235])).
% 40.34/6.34 thf(zip_derived_cl3297, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: (theorem @ (or @ X0 @ (implies @ X0 @ X1)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl2952, zip_derived_cl304])).
% 40.34/6.34 thf(zip_derived_cl1941, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (~ (theorem @ (or @ X1 @ X0))
% 40.34/6.34 | (theorem @ (implies @ (not @ X0) @ X1)))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl110])).
% 40.34/6.34 thf(zip_derived_cl3306, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 (theorem @ (implies @ (not @ (implies @ X1 @ X0)) @ X1))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl3297, zip_derived_cl1941])).
% 40.34/6.34 thf(zip_derived_cl5, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 40.34/6.34 inference('cnf', [status(esa)], [implies_definition])).
% 40.34/6.34 thf(zip_derived_cl33, plain,
% 40.34/6.34 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 40.34/6.34 inference('dp-resolution', [status(thm)],
% 40.34/6.34 [zip_derived_cl0, zip_derived_cl6])).
% 40.34/6.34 thf(zip_derived_cl40, plain,
% 40.34/6.34 (![X0 : $i]:
% 40.34/6.34 (theorem @ (implies @ (implies @ X0 @ (not @ X0)) @ (not @ X0)))),
% 40.34/6.34 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 40.34/6.34 thf(zip_derived_cl95, plain,
% 40.34/6.34 (![X0 : $i, X1 : $i]:
% 40.34/6.34 ( (theorem @ (implies @ X1 @ (not @ X0)))
% 40.34/6.34 | ~ (theorem @ (implies @ X0 @ (not @ X1))))),
% 40.34/6.34 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl79])).
% 40.34/6.34 thf(zip_derived_cl99, plain,
% 40.34/6.34 (![X0 : $i]:
% 40.34/6.34 (theorem @ (implies @ X0 @ (not @ (implies @ X0 @ (not @ X0)))))),
% 40.34/6.34 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl95])).
% 40.34/6.34 thf(zip_derived_cl18685, plain, ($false),
% 40.34/6.34 inference('demod', [status(thm)],
% 40.34/6.34 [zip_derived_cl18676, zip_derived_cl3306, zip_derived_cl99])).
% 40.34/6.34
% 40.34/6.34 % SZS output end Refutation
% 40.34/6.34
% 40.34/6.34
% 40.34/6.34 % Terminating...
% 40.34/6.46 % Runner terminated.
% 40.34/6.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------