TSTP Solution File: LCL208-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL208-3 : 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.AtwC4jnpnw true
% Computer : n027.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 08:58:46 EDT 2023
% Result : Unsatisfiable 20.75s 3.55s
% Output : Refutation 20.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL208-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AtwC4jnpnw true
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 18:10:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 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/fo4.sh running for 50s
% 20.75/3.55 % Solved by fo/fo1_av.sh.
% 20.75/3.55 % done 4604 iterations in 2.815s
% 20.75/3.55 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 20.75/3.55 % SZS output start Refutation
% 20.75/3.55 thf(axiom_type, type, axiom: $i > $o).
% 20.75/3.55 thf(implies_type, type, implies: $i > $i > $i).
% 20.75/3.55 thf(p_type, type, p: $i).
% 20.75/3.55 thf(or_type, type, or: $i > $i > $i).
% 20.75/3.55 thf(q_type, type, q: $i).
% 20.75/3.55 thf(theorem_type, type, theorem: $i > $o).
% 20.75/3.55 thf(not_type, type, not: $i > $i).
% 20.75/3.55 thf(implies_definition, axiom,
% 20.75/3.55 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 20.75/3.55 thf(zip_derived_cl5, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [implies_definition])).
% 20.75/3.55 thf(axiom_1_5, axiom,
% 20.75/3.55 (axiom @
% 20.75/3.55 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 20.75/3.55 thf(zip_derived_cl3, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (axiom @
% 20.75/3.55 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 20.75/3.55 inference('cnf', [status(esa)], [axiom_1_5])).
% 20.75/3.55 thf(rule_2, axiom,
% 20.75/3.55 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 20.75/3.55 ( ~( theorem @ Y ) ))).
% 20.75/3.55 thf(zip_derived_cl7, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 ( (theorem @ X0)
% 20.75/3.55 | ~ (theorem @ (implies @ X1 @ X0))
% 20.75/3.55 | ~ (theorem @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [rule_2])).
% 20.75/3.55 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 20.75/3.55 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 20.75/3.55 inference('cnf', [status(esa)], [rule_1])).
% 20.75/3.55 thf(zip_derived_cl13, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (~ (theorem @ X1) | (theorem @ X0) | ~ (axiom @ (implies @ X1 @ X0)))),
% 20.75/3.55 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 20.75/3.55 thf(zip_derived_cl34, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 20.75/3.55 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 20.75/3.55 thf(zip_derived_cl101, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 20.75/3.55 | (theorem @ (or @ X1 @ (or @ (not @ X2) @ X0))))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 20.75/3.55 thf(zip_derived_cl5, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [implies_definition])).
% 20.75/3.55 thf(zip_derived_cl104, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 20.75/3.55 | (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 20.75/3.55 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl5])).
% 20.75/3.55 thf(axiom_1_4, axiom,
% 20.75/3.55 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 20.75/3.55 thf(zip_derived_cl2, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 20.75/3.55 inference('cnf', [status(esa)], [axiom_1_4])).
% 20.75/3.55 thf(zip_derived_cl13, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (~ (theorem @ X1) | (theorem @ X0) | ~ (axiom @ (implies @ X1 @ X0)))),
% 20.75/3.55 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 20.75/3.55 thf(zip_derived_cl22, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 20.75/3.55 thf(zip_derived_cl434, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (implies @ X1 @ (or @ X2 @ X0)))
% 20.75/3.55 | (theorem @ (or @ (implies @ X1 @ X0) @ X2)))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl22])).
% 20.75/3.55 thf(zip_derived_cl5, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [implies_definition])).
% 20.75/3.55 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 20.75/3.55 thf(zip_derived_cl0, plain,
% 20.75/3.55 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 20.75/3.55 inference('cnf', [status(esa)], [axiom_1_2])).
% 20.75/3.55 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 20.75/3.55 inference('cnf', [status(esa)], [rule_1])).
% 20.75/3.55 thf(axiom_1_6, axiom,
% 20.75/3.55 (axiom @
% 20.75/3.55 ( implies @
% 20.75/3.55 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 20.75/3.55 thf(zip_derived_cl4, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (axiom @
% 20.75/3.55 (implies @ (implies @ X0 @ X1) @
% 20.75/3.55 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 20.75/3.55 inference('cnf', [status(esa)], [axiom_1_6])).
% 20.75/3.55 thf(zip_derived_cl13, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (~ (theorem @ X1) | (theorem @ X0) | ~ (axiom @ (implies @ X1 @ X0)))),
% 20.75/3.55 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 20.75/3.55 thf(zip_derived_cl55, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (implies @ X2 @ X0))
% 20.75/3.55 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl13])).
% 20.75/3.55 thf(zip_derived_cl7, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 ( (theorem @ X0)
% 20.75/3.55 | ~ (theorem @ (implies @ X1 @ X0))
% 20.75/3.55 | ~ (theorem @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [rule_2])).
% 20.75/3.55 thf(zip_derived_cl222, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (implies @ X2 @ X0))
% 20.75/3.55 | (theorem @ (or @ X1 @ X0))
% 20.75/3.55 | ~ (theorem @ (or @ X1 @ X2)))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl7])).
% 20.75/3.55 thf(zip_derived_cl227, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (axiom @ (implies @ X1 @ X0))
% 20.75/3.55 | (theorem @ (or @ X2 @ X0))
% 20.75/3.55 | ~ (theorem @ (or @ X2 @ X1)))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl222])).
% 20.75/3.55 thf(zip_derived_cl241, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 ( (theorem @ (or @ X1 @ X0))
% 20.75/3.55 | ~ (theorem @ (or @ X1 @ (or @ X0 @ X0))))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl227])).
% 20.75/3.55 thf(zip_derived_cl258, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 ( (theorem @ (or @ (not @ X1) @ X0))
% 20.75/3.55 | ~ (theorem @ (implies @ X1 @ (or @ X0 @ X0))))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl241])).
% 20.75/3.55 thf(zip_derived_cl5, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [implies_definition])).
% 20.75/3.55 thf(zip_derived_cl260, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 ( (theorem @ (implies @ X1 @ X0))
% 20.75/3.55 | ~ (theorem @ (implies @ X1 @ (or @ X0 @ X0))))),
% 20.75/3.55 inference('demod', [status(thm)], [zip_derived_cl258, zip_derived_cl5])).
% 20.75/3.55 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 20.75/3.55 inference('cnf', [status(esa)], [rule_1])).
% 20.75/3.55 thf(zip_derived_cl276, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 ( (theorem @ (implies @ X1 @ X0))
% 20.75/3.55 | ~ (axiom @ (implies @ X1 @ (or @ X0 @ X0))))),
% 20.75/3.55 inference('s_sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl6])).
% 20.75/3.55 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 20.75/3.55 thf(zip_derived_cl1, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 20.75/3.55 inference('cnf', [status(esa)], [axiom_1_3])).
% 20.75/3.55 thf(zip_derived_cl310, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 20.75/3.55 inference('s_sup+', [status(thm)], [zip_derived_cl276, zip_derived_cl1])).
% 20.75/3.55 thf(zip_derived_cl5, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [implies_definition])).
% 20.75/3.55 thf(zip_derived_cl5, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [implies_definition])).
% 20.75/3.55 thf(zip_derived_cl22, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 20.75/3.55 thf(zip_derived_cl53, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (~ (theorem @ (implies @ X1 @ X0))
% 20.75/3.55 | (theorem @ (or @ X0 @ (not @ X1))))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl22])).
% 20.75/3.55 thf(zip_derived_cl67, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (~ (theorem @ (implies @ X0 @ (not @ X1)))
% 20.75/3.55 | (theorem @ (implies @ X1 @ (not @ X0))))),
% 20.75/3.55 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl53])).
% 20.75/3.55 thf(zip_derived_cl327, plain,
% 20.75/3.55 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl310, zip_derived_cl67])).
% 20.75/3.55 thf(zip_derived_cl222, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (implies @ X2 @ X0))
% 20.75/3.55 | (theorem @ (or @ X1 @ X0))
% 20.75/3.55 | ~ (theorem @ (or @ X1 @ X2)))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl7])).
% 20.75/3.55 thf(zip_derived_cl329, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 ( (theorem @ (or @ X1 @ (not @ (not @ X0))))
% 20.75/3.55 | ~ (theorem @ (or @ X1 @ X0)))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl327, zip_derived_cl222])).
% 20.75/3.55 thf(zip_derived_cl5, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [implies_definition])).
% 20.75/3.55 thf(zip_derived_cl2, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 20.75/3.55 inference('cnf', [status(esa)], [axiom_1_4])).
% 20.75/3.55 thf(zip_derived_cl24, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (axiom @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 20.75/3.55 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 20.75/3.55 thf(zip_derived_cl13, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (~ (theorem @ X1) | (theorem @ X0) | ~ (axiom @ (implies @ X1 @ X0)))),
% 20.75/3.55 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 20.75/3.55 thf(zip_derived_cl79, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 20.75/3.55 | (theorem @ (implies @ X1 @ X0)))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl13])).
% 20.75/3.55 thf(zip_derived_cl512, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]:
% 20.75/3.55 (~ (theorem @ (or @ X1 @ X0))
% 20.75/3.55 | (theorem @ (implies @ (not @ X0) @ X1)))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl329, zip_derived_cl79])).
% 20.75/3.55 thf(zip_derived_cl5, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [implies_definition])).
% 20.75/3.55 thf(zip_derived_cl5, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [implies_definition])).
% 20.75/3.55 thf(zip_derived_cl34, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 20.75/3.55 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 20.75/3.55 thf(zip_derived_cl102, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 20.75/3.55 | (theorem @ (or @ (not @ X1) @ (or @ X2 @ X0))))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 20.75/3.55 thf(zip_derived_cl5, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [implies_definition])).
% 20.75/3.55 thf(zip_derived_cl105, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 20.75/3.55 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 20.75/3.55 inference('demod', [status(thm)], [zip_derived_cl102, zip_derived_cl5])).
% 20.75/3.55 thf(zip_derived_cl147, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 20.75/3.55 | (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0))))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl105])).
% 20.75/3.55 thf(zip_derived_cl5, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 20.75/3.55 inference('cnf', [status(esa)], [implies_definition])).
% 20.75/3.55 thf(zip_derived_cl148, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 20.75/3.55 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 20.75/3.55 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl5])).
% 20.75/3.55 thf(zip_derived_cl980, plain,
% 20.75/3.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.75/3.55 (~ (theorem @ (or @ (implies @ X1 @ X0) @ X2))
% 20.75/3.55 | (theorem @ (implies @ X1 @ (implies @ (not @ X2) @ X0))))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl512, zip_derived_cl148])).
% 20.75/3.55 thf(prove_this, conjecture,
% 20.75/3.55 (theorem @ ( implies @ ( or @ p @ q ) @ ( implies @ ( not @ p ) @ q ) ))).
% 20.75/3.55 thf(zf_stmt_0, negated_conjecture,
% 20.75/3.55 (~( theorem @ ( implies @ ( or @ p @ q ) @ ( implies @ ( not @ p ) @ q ) ) )),
% 20.75/3.55 inference('cnf.neg', [status(esa)], [prove_this])).
% 20.75/3.55 thf(zip_derived_cl8, plain,
% 20.75/3.55 (~ (theorem @ (implies @ (or @ p @ q) @ (implies @ (not @ p) @ q)))),
% 20.75/3.55 inference('cnf', [status(esa)], [zf_stmt_0])).
% 20.75/3.55 thf(zip_derived_cl12573, plain,
% 20.75/3.55 (~ (theorem @ (or @ (implies @ (or @ p @ q) @ q) @ p))),
% 20.75/3.55 inference('s_sup-', [status(thm)], [zip_derived_cl980, zip_derived_cl8])).
% 20.75/3.55 thf(zip_derived_cl12635, plain,
% 20.75/3.55 (~ (theorem @ (implies @ (or @ p @ q) @ (or @ p @ q)))),
% 20.75/3.55 inference('s_sup-', [status(thm)],
% 20.75/3.55 [zip_derived_cl434, zip_derived_cl12573])).
% 20.75/3.55 thf(zip_derived_cl310, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 20.75/3.55 inference('s_sup+', [status(thm)], [zip_derived_cl276, zip_derived_cl1])).
% 20.75/3.55 thf(zip_derived_cl12638, plain, ($false),
% 20.75/3.55 inference('demod', [status(thm)],
% 20.75/3.55 [zip_derived_cl12635, zip_derived_cl310])).
% 20.75/3.55
% 20.75/3.55 % SZS output end Refutation
% 20.75/3.55
% 20.75/3.55
% 20.75/3.56 % Terminating...
% 20.75/3.67 % Runner terminated.
% 20.75/3.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------