TSTP Solution File: LCL222-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL222-3 : 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.1MIUDODxuq true
% Computer : n031.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 08:58:53 EDT 2023
% Result : Unsatisfiable 62.99s 9.66s
% Output : Refutation 62.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL222-3 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1MIUDODxuq true
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 06:43:06 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 62.99/9.66 % Solved by fo/fo6_bce.sh.
% 62.99/9.66 % BCE start: 9
% 62.99/9.66 % BCE eliminated: 0
% 62.99/9.66 % PE start: 9
% 62.99/9.66 logic: eq
% 62.99/9.66 % PE eliminated: 1
% 62.99/9.66 % done 2763 iterations in 8.916s
% 62.99/9.66 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 62.99/9.66 % SZS output start Refutation
% 62.99/9.66 thf(r_type, type, r: $i).
% 62.99/9.66 thf(axiom_type, type, axiom: $i > $o).
% 62.99/9.66 thf(implies_type, type, implies: $i > $i > $i).
% 62.99/9.66 thf(q_type, type, q: $i).
% 62.99/9.66 thf(or_type, type, or: $i > $i > $i).
% 62.99/9.66 thf(p_type, type, p: $i).
% 62.99/9.66 thf(theorem_type, type, theorem: $i > $o).
% 62.99/9.66 thf(not_type, type, not: $i > $i).
% 62.99/9.66 thf(axiom_1_6, axiom,
% 62.99/9.66 (axiom @
% 62.99/9.66 ( implies @
% 62.99/9.66 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 62.99/9.66 thf(zip_derived_cl4, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (axiom @
% 62.99/9.66 (implies @ (implies @ X0 @ X1) @
% 62.99/9.66 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 62.99/9.66 inference('cnf', [status(esa)], [axiom_1_6])).
% 62.99/9.66 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 62.99/9.66 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 62.99/9.66 inference('cnf', [status(esa)], [rule_1])).
% 62.99/9.66 thf(zip_derived_cl35, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X2 @ X0) @
% 62.99/9.66 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 62.99/9.66 inference('dp-resolution', [status(thm)],
% 62.99/9.66 [zip_derived_cl4, zip_derived_cl6])).
% 62.99/9.66 thf(axiom_1_4, axiom,
% 62.99/9.66 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 62.99/9.66 thf(zip_derived_cl2, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 62.99/9.66 inference('cnf', [status(esa)], [axiom_1_4])).
% 62.99/9.66 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 62.99/9.66 inference('cnf', [status(esa)], [rule_1])).
% 62.99/9.66 thf(zip_derived_cl33, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 62.99/9.66 inference('dp-resolution', [status(thm)],
% 62.99/9.66 [zip_derived_cl2, zip_derived_cl6])).
% 62.99/9.66 thf(implies_definition, axiom,
% 62.99/9.66 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(zip_derived_cl35, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X2 @ X0) @
% 62.99/9.66 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 62.99/9.66 inference('dp-resolution', [status(thm)],
% 62.99/9.66 [zip_derived_cl4, zip_derived_cl6])).
% 62.99/9.66 thf(rule_2, axiom,
% 62.99/9.66 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 62.99/9.66 ( ~( theorem @ Y ) ))).
% 62.99/9.66 thf(zip_derived_cl7, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 ( (theorem @ X0)
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [rule_2])).
% 62.99/9.66 thf(zip_derived_cl48, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0)))
% 62.99/9.66 | ~ (theorem @ (implies @ X2 @ X0)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 62.99/9.66 thf(zip_derived_cl89, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ (or @ (not @ X1) @ X2) @ (implies @ X1 @ X0)))
% 62.99/9.66 | ~ (theorem @ (implies @ X2 @ X0)))),
% 62.99/9.66 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl48])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(zip_derived_cl91, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0)))
% 62.99/9.66 | ~ (theorem @ (implies @ X2 @ X0)))),
% 62.99/9.66 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl5])).
% 62.99/9.66 thf(zip_derived_cl91, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0)))
% 62.99/9.66 | ~ (theorem @ (implies @ X2 @ X0)))),
% 62.99/9.66 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl5])).
% 62.99/9.66 thf(zip_derived_cl7, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 ( (theorem @ X0)
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [rule_2])).
% 62.99/9.66 thf(zip_derived_cl98, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (~ (theorem @ (implies @ X2 @ X0))
% 62.99/9.66 | (theorem @ (implies @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ X2)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl7])).
% 62.99/9.66 thf(zip_derived_cl255, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.99/9.66 (~ (theorem @ (implies @ X2 @ X0))
% 62.99/9.66 | (theorem @ (implies @ X3 @ (implies @ X1 @ X0)))
% 62.99/9.66 | ~ (theorem @ (implies @ X3 @ (implies @ X1 @ X2))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl98])).
% 62.99/9.66 thf(zip_derived_cl1414, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ X3 @ (implies @ X2 @ (or @ X1 @ X0))))
% 62.99/9.66 | ~ (theorem @ (implies @ X3 @ (implies @ X2 @ (or @ X0 @ X1)))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl255])).
% 62.99/9.66 thf(zip_derived_cl1955, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X2 @ X0) @
% 62.99/9.66 (implies @ (or @ X1 @ X2) @ (or @ X0 @ X1))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl1414])).
% 62.99/9.66 thf(zip_derived_cl33, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 62.99/9.66 inference('dp-resolution', [status(thm)],
% 62.99/9.66 [zip_derived_cl2, zip_derived_cl6])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(zip_derived_cl35, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X2 @ X0) @
% 62.99/9.66 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 62.99/9.66 inference('dp-resolution', [status(thm)],
% 62.99/9.66 [zip_derived_cl4, zip_derived_cl6])).
% 62.99/9.66 thf(zip_derived_cl49, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X2 @ X0) @
% 62.99/9.66 (implies @ (or @ (not @ X1) @ X2) @ (implies @ X1 @ X0))))),
% 62.99/9.66 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl35])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(zip_derived_cl51, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X2 @ X0) @
% 62.99/9.66 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 62.99/9.66 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl5])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(axiom_1_5, axiom,
% 62.99/9.66 (axiom @
% 62.99/9.66 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 62.99/9.66 thf(zip_derived_cl3, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (axiom @
% 62.99/9.66 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 62.99/9.66 inference('cnf', [status(esa)], [axiom_1_5])).
% 62.99/9.66 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 62.99/9.66 inference('cnf', [status(esa)], [rule_1])).
% 62.99/9.66 thf(zip_derived_cl34, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 62.99/9.66 inference('dp-resolution', [status(thm)],
% 62.99/9.66 [zip_derived_cl3, zip_derived_cl6])).
% 62.99/9.66 thf(zip_derived_cl56, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (or @ X1 @ (or @ (not @ X2) @ X0)) @
% 62.99/9.66 (implies @ X2 @ (or @ X1 @ X0))))),
% 62.99/9.66 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(zip_derived_cl60, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (or @ X1 @ (implies @ X2 @ X0)) @
% 62.99/9.66 (implies @ X2 @ (or @ X1 @ X0))))),
% 62.99/9.66 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl5])).
% 62.99/9.66 thf(zip_derived_cl7, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 ( (theorem @ X0)
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [rule_2])).
% 62.99/9.66 thf(zip_derived_cl79, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 62.99/9.66 | ~ (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl7])).
% 62.99/9.66 thf(zip_derived_cl170, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0)))
% 62.99/9.66 | ~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl79])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(zip_derived_cl171, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 62.99/9.66 | ~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 62.99/9.66 inference('demod', [status(thm)], [zip_derived_cl170, zip_derived_cl5])).
% 62.99/9.66 thf(zip_derived_cl176, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X1 @ X2) @
% 62.99/9.66 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl171])).
% 62.99/9.66 thf(zip_derived_cl7, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 ( (theorem @ X0)
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [rule_2])).
% 62.99/9.66 thf(zip_derived_cl931, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ X2)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl7])).
% 62.99/9.66 thf(zip_derived_cl98, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (~ (theorem @ (implies @ X2 @ X0))
% 62.99/9.66 | (theorem @ (implies @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ X2)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl7])).
% 62.99/9.66 thf(zip_derived_cl942, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.99/9.66 (~ (theorem @ (implies @ X1 @ X2))
% 62.99/9.66 | (theorem @ (implies @ X3 @ (implies @ X1 @ X0)))
% 62.99/9.66 | ~ (theorem @ (implies @ X3 @ (implies @ X2 @ X0))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl931, zip_derived_cl98])).
% 62.99/9.66 thf(zip_derived_cl30262, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ X3 @ (implies @ (or @ X0 @ X1) @ X2)))
% 62.99/9.66 | ~ (theorem @ (implies @ X3 @ (implies @ (or @ X1 @ X0) @ X2))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl942])).
% 62.99/9.66 thf(zip_derived_cl35842, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X2 @ X1) @
% 62.99/9.66 (implies @ (or @ X2 @ X0) @ (or @ X1 @ X0))))),
% 62.99/9.66 inference('s_sup-', [status(thm)],
% 62.99/9.66 [zip_derived_cl1955, zip_derived_cl30262])).
% 62.99/9.66 thf(zip_derived_cl98, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (~ (theorem @ (implies @ X2 @ X0))
% 62.99/9.66 | (theorem @ (implies @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ X2)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl7])).
% 62.99/9.66 thf(zip_derived_cl36397, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.99/9.66 ( (theorem @
% 62.99/9.66 (implies @ X3 @ (implies @ (or @ X2 @ X0) @ (or @ X1 @ X0))))
% 62.99/9.66 | ~ (theorem @ (implies @ X3 @ (implies @ X2 @ X1))))),
% 62.99/9.66 inference('s_sup-', [status(thm)],
% 62.99/9.66 [zip_derived_cl35842, zip_derived_cl98])).
% 62.99/9.66 thf(prove_this, conjecture,
% 62.99/9.66 (theorem @
% 62.99/9.66 ( implies @
% 62.99/9.66 ( implies @ q @ p ) @
% 62.99/9.66 ( implies @ ( or @ ( or @ p @ q ) @ r ) @ ( or @ p @ r ) ) ))).
% 62.99/9.66 thf(zf_stmt_0, negated_conjecture,
% 62.99/9.66 (~( theorem @
% 62.99/9.66 ( implies @
% 62.99/9.66 ( implies @ q @ p ) @
% 62.99/9.66 ( implies @ ( or @ ( or @ p @ q ) @ r ) @ ( or @ p @ r ) ) ) )),
% 62.99/9.66 inference('cnf.neg', [status(esa)], [prove_this])).
% 62.99/9.66 thf(zip_derived_cl8, plain,
% 62.99/9.66 (~ (theorem @
% 62.99/9.66 (implies @ (implies @ q @ p) @
% 62.99/9.66 (implies @ (or @ (or @ p @ q) @ r) @ (or @ p @ r))))),
% 62.99/9.66 inference('cnf', [status(esa)], [zf_stmt_0])).
% 62.99/9.66 thf(zip_derived_cl38505, plain,
% 62.99/9.66 (~ (theorem @
% 62.99/9.66 (implies @ (implies @ q @ p) @ (implies @ (or @ p @ q) @ p)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl36397, zip_derived_cl8])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(zip_derived_cl60, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (or @ X1 @ (implies @ X2 @ X0)) @
% 62.99/9.66 (implies @ X2 @ (or @ X1 @ X0))))),
% 62.99/9.66 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl5])).
% 62.99/9.66 thf(zip_derived_cl80, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (or @ (not @ X1) @ (implies @ X2 @ X0)) @
% 62.99/9.66 (implies @ X2 @ (implies @ X1 @ X0))))),
% 62.99/9.66 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl60])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(zip_derived_cl82, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X1 @ (implies @ X2 @ X0)) @
% 62.99/9.66 (implies @ X2 @ (implies @ X1 @ X0))))),
% 62.99/9.66 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl5])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 62.99/9.66 thf(zip_derived_cl1, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 62.99/9.66 inference('cnf', [status(esa)], [axiom_1_3])).
% 62.99/9.66 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 62.99/9.66 inference('cnf', [status(esa)], [rule_1])).
% 62.99/9.66 thf(zip_derived_cl32, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 62.99/9.66 inference('dp-resolution', [status(thm)],
% 62.99/9.66 [zip_derived_cl1, zip_derived_cl6])).
% 62.99/9.66 thf(zip_derived_cl40, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 62.99/9.66 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl32])).
% 62.99/9.66 thf(zip_derived_cl35, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X2 @ X0) @
% 62.99/9.66 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 62.99/9.66 inference('dp-resolution', [status(thm)],
% 62.99/9.66 [zip_derived_cl4, zip_derived_cl6])).
% 62.99/9.66 thf(zip_derived_cl98, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (~ (theorem @ (implies @ X2 @ X0))
% 62.99/9.66 | (theorem @ (implies @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ X2)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl7])).
% 62.99/9.66 thf(zip_derived_cl251, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.99/9.66 ( (theorem @
% 62.99/9.66 (implies @ X3 @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))
% 62.99/9.66 | ~ (theorem @ (implies @ X3 @ (implies @ X2 @ X0))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl98])).
% 62.99/9.66 thf(zip_derived_cl98, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (~ (theorem @ (implies @ X2 @ X0))
% 62.99/9.66 | (theorem @ (implies @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ X2)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl7])).
% 62.99/9.66 thf(zip_derived_cl313, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.99/9.66 (~ (theorem @ (implies @ X3 @ (implies @ X2 @ X0)))
% 62.99/9.66 | (theorem @
% 62.99/9.66 (implies @ X4 @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))
% 62.99/9.66 | ~ (theorem @ (implies @ X4 @ X3)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl251, zip_derived_cl98])).
% 62.99/9.66 thf(zip_derived_cl2614, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 62.99/9.66 (~ (theorem @ (implies @ (implies @ X1 @ X0) @ (implies @ X3 @ X2)))
% 62.99/9.66 | (theorem @
% 62.99/9.66 (implies @ X0 @ (implies @ (or @ X4 @ X3) @ (or @ X4 @ X2)))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl313])).
% 62.99/9.66 thf(zip_derived_cl4482, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X2 @ X0) @
% 62.99/9.66 (implies @ (or @ X3 @ X2) @ (or @ X3 @ (implies @ X1 @ X0)))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl2614])).
% 62.99/9.66 thf(zip_derived_cl1414, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ X3 @ (implies @ X2 @ (or @ X1 @ X0))))
% 62.99/9.66 | ~ (theorem @ (implies @ X3 @ (implies @ X2 @ (or @ X0 @ X1)))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl255])).
% 62.99/9.66 thf(zip_derived_cl4635, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X3 @ X0) @
% 62.99/9.66 (implies @ (or @ X2 @ X3) @ (or @ (implies @ X1 @ X0) @ X2))))),
% 62.99/9.66 inference('s_sup-', [status(thm)],
% 62.99/9.66 [zip_derived_cl4482, zip_derived_cl1414])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(zip_derived_cl34, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 62.99/9.66 inference('dp-resolution', [status(thm)],
% 62.99/9.66 [zip_derived_cl3, zip_derived_cl6])).
% 62.99/9.66 thf(zip_derived_cl57, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (or @ (not @ X1) @ (or @ X2 @ X0)) @
% 62.99/9.66 (or @ X2 @ (implies @ X1 @ X0))))),
% 62.99/9.66 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(zip_derived_cl61, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X1 @ (or @ X2 @ X0)) @
% 62.99/9.66 (or @ X2 @ (implies @ X1 @ X0))))),
% 62.99/9.66 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl5])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 62.99/9.66 thf(zip_derived_cl0, plain,
% 62.99/9.66 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 62.99/9.66 inference('cnf', [status(esa)], [axiom_1_2])).
% 62.99/9.66 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 62.99/9.66 inference('cnf', [status(esa)], [rule_1])).
% 62.99/9.66 thf(zip_derived_cl31, plain,
% 62.99/9.66 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 62.99/9.66 inference('dp-resolution', [status(thm)],
% 62.99/9.66 [zip_derived_cl0, zip_derived_cl6])).
% 62.99/9.66 thf(zip_derived_cl48, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0)))
% 62.99/9.66 | ~ (theorem @ (implies @ X2 @ X0)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 62.99/9.66 thf(zip_derived_cl7, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 ( (theorem @ X0)
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [rule_2])).
% 62.99/9.66 thf(zip_derived_cl88, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (~ (theorem @ (implies @ X2 @ X0))
% 62.99/9.66 | (theorem @ (or @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ (or @ X1 @ X2)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl7])).
% 62.99/9.66 thf(zip_derived_cl108, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 ( (theorem @ (or @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ (or @ X1 @ (or @ X0 @ X0))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl88])).
% 62.99/9.66 thf(zip_derived_cl116, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 ( (theorem @ (or @ (not @ X1) @ X0))
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ (or @ X0 @ X0))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl108])).
% 62.99/9.66 thf(zip_derived_cl5, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 62.99/9.66 inference('cnf', [status(esa)], [implies_definition])).
% 62.99/9.66 thf(zip_derived_cl118, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ (or @ X0 @ X0))))),
% 62.99/9.66 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl5])).
% 62.99/9.66 thf(zip_derived_cl140, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X1 @ (or @ (implies @ X1 @ X0) @ X0)) @
% 62.99/9.66 (implies @ X1 @ X0)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl118])).
% 62.99/9.66 thf(zip_derived_cl98, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 (~ (theorem @ (implies @ X2 @ X0))
% 62.99/9.66 | (theorem @ (implies @ X1 @ X0))
% 62.99/9.66 | ~ (theorem @ (implies @ X1 @ X2)))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl7])).
% 62.99/9.66 thf(zip_derived_cl648, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.99/9.66 ( (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 62.99/9.66 | ~ (theorem @
% 62.99/9.66 (implies @ X2 @ (implies @ X1 @ (or @ (implies @ X1 @ X0) @ X0)))))),
% 62.99/9.66 inference('s_sup-', [status(thm)], [zip_derived_cl140, zip_derived_cl98])).
% 62.99/9.66 thf(zip_derived_cl4659, plain,
% 62.99/9.66 (![X0 : $i, X1 : $i]:
% 62.99/9.66 (theorem @
% 62.99/9.66 (implies @ (implies @ X1 @ X0) @ (implies @ (or @ X0 @ X1) @ X0)))),
% 62.99/9.66 inference('s_sup-', [status(thm)],
% 62.99/9.66 [zip_derived_cl4635, zip_derived_cl648])).
% 62.99/9.66 thf(zip_derived_cl38520, plain, ($false),
% 62.99/9.66 inference('demod', [status(thm)],
% 62.99/9.66 [zip_derived_cl38505, zip_derived_cl4659])).
% 62.99/9.66
% 62.99/9.66 % SZS output end Refutation
% 62.99/9.66
% 62.99/9.66
% 62.99/9.66 % Terminating...
% 63.42/9.79 % Runner terminated.
% 63.42/9.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------