%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL241-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AC4XkwfGtZ true
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:35:34 PM UTC 2026
% Result : Unsatisfiable 91.30s 13.66s
% Output : Refutation 91.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL241-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AC4XkwfGtZ true
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 20:09:15 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Number of cores: 8
% 0.11/0.38 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.40/0.59 % Total configuration time : 435
% 0.40/0.59 % Estimated wc time : 1092
% 0.40/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 91.30/13.66 % Solved by fo/fo5.sh.
% 91.30/13.66 % done 7891 iterations in 12.883s
% 91.30/13.66 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 91.30/13.66 % SZS output start Refutation
% 91.30/13.66 thf(p_type, type, p: $i).
% 91.30/13.66 thf(axiom_type, type, axiom: $i > $o).
% 91.30/13.66 thf(implies_type, type, implies: $i > $i > $i).
% 91.30/13.66 thf(q_type, type, q: $i).
% 91.30/13.66 thf(or_type, type, or: $i > $i > $i).
% 91.30/13.66 thf(and_type, type, and: $i > $i > $i).
% 91.30/13.66 thf(theorem_type, type, theorem: $i > $o).
% 91.30/13.66 thf(not_type, type, not: $i > $i).
% 91.30/13.66 thf(prove_this, conjecture, (theorem @ ( implies @ ( and @ p @ q ) @ q ))).
% 91.30/13.66 thf(zf_stmt_0, negated_conjecture,
% 91.30/13.66 (~( theorem @ ( implies @ ( and @ p @ q ) @ q ) )),
% 91.30/13.66 inference('cnf.neg', [status(esa)], [prove_this])).
% 91.30/13.66 thf(zip_derived_cl9, plain, (~ (theorem @ (implies @ (and @ p @ q) @ q))),
% 91.30/13.66 inference('cnf', [status(esa)], [zf_stmt_0])).
% 91.30/13.66 thf(implies_definition, axiom,
% 91.30/13.66 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 91.30/13.66 thf(zip_derived_cl5, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [implies_definition])).
% 91.30/13.66 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 91.30/13.66 thf(zip_derived_cl1, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 91.30/13.66 inference('cnf', [status(esa)], [axiom_1_3])).
% 91.30/13.66 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 91.30/13.66 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 91.30/13.66 inference('cnf', [status(esa)], [rule_1])).
% 91.30/13.66 thf(zip_derived_cl12, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 91.30/13.66 thf(zip_derived_cl19, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 91.30/13.66 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl12])).
% 91.30/13.66 thf(zip_derived_cl5, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [implies_definition])).
% 91.30/13.66 thf(zip_derived_cl5, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [implies_definition])).
% 91.30/13.66 thf(axiom_1_5, axiom,
% 91.30/13.66 (axiom @
% 91.30/13.66 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 91.30/13.66 thf(zip_derived_cl3, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (axiom @
% 91.30/13.66 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 91.30/13.66 inference('cnf', [status(esa)], [axiom_1_5])).
% 91.30/13.66 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 91.30/13.66 inference('cnf', [status(esa)], [rule_1])).
% 91.30/13.66 thf(zip_derived_cl45, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (theorem @
% 91.30/13.66 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 91.30/13.66 thf(rule_2, axiom,
% 91.30/13.66 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 91.30/13.66 ( ~( theorem @ Y ) ))).
% 91.30/13.66 thf(zip_derived_cl7, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 ( (theorem @ X0)
% 91.30/13.66 | ~ (theorem @ (implies @ X1 @ X0))
% 91.30/13.66 | ~ (theorem @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [rule_2])).
% 91.30/13.66 thf(zip_derived_cl490, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 91.30/13.66 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl7])).
% 91.30/13.66 thf(zip_derived_cl979, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 91.30/13.66 | (theorem @ (or @ X1 @ (or @ (not @ X2) @ X0))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl490])).
% 91.30/13.66 thf(zip_derived_cl5, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [implies_definition])).
% 91.30/13.66 thf(zip_derived_cl982, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 91.30/13.66 | (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 91.30/13.66 inference('demod', [status(thm)], [zip_derived_cl979, zip_derived_cl5])).
% 91.30/13.66 thf(zip_derived_cl999, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 91.30/13.66 | (theorem @ (or @ (not @ X1) @ (implies @ X2 @ X0))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl982])).
% 91.30/13.66 thf(zip_derived_cl5, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [implies_definition])).
% 91.30/13.66 thf(zip_derived_cl1001, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 91.30/13.66 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 91.30/13.66 inference('demod', [status(thm)], [zip_derived_cl999, zip_derived_cl5])).
% 91.30/13.66 thf(zip_derived_cl1003, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1001])).
% 91.30/13.66 thf(zip_derived_cl7, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 ( (theorem @ X0)
% 91.30/13.66 | ~ (theorem @ (implies @ X1 @ X0))
% 91.30/13.66 | ~ (theorem @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [rule_2])).
% 91.30/13.66 thf(zip_derived_cl1021, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (~ (theorem @ X1) | (theorem @ (implies @ X0 @ X0)))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl1003, zip_derived_cl7])).
% 91.30/13.66 thf(zip_derived_cl19, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 91.30/13.66 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl12])).
% 91.30/13.66 thf(zip_derived_cl1031, plain,
% 91.30/13.66 (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 91.30/13.66 inference('sup+', [status(thm)], [zip_derived_cl1021, zip_derived_cl19])).
% 91.30/13.66 thf(zip_derived_cl5, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [implies_definition])).
% 91.30/13.66 thf(axiom_1_4, axiom,
% 91.30/13.66 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 91.30/13.66 thf(zip_derived_cl2, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 91.30/13.66 inference('cnf', [status(esa)], [axiom_1_4])).
% 91.30/13.66 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 91.30/13.66 inference('cnf', [status(esa)], [rule_1])).
% 91.30/13.66 thf(zip_derived_cl20, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 91.30/13.66 thf(zip_derived_cl7, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 ( (theorem @ X0)
% 91.30/13.66 | ~ (theorem @ (implies @ X1 @ X0))
% 91.30/13.66 | ~ (theorem @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [rule_2])).
% 91.30/13.66 thf(zip_derived_cl66, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl7])).
% 91.30/13.66 thf(zip_derived_cl74, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (~ (theorem @ (implies @ X1 @ X0))
% 91.30/13.66 | (theorem @ (or @ X0 @ (not @ X1))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl66])).
% 91.30/13.66 thf(zip_derived_cl1178, plain,
% 91.30/13.66 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ X0)))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl1031, zip_derived_cl74])).
% 91.30/13.66 thf(zip_derived_cl19, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 91.30/13.66 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl12])).
% 91.30/13.66 thf(axiom_1_6, axiom,
% 91.30/13.66 (axiom @
% 91.30/13.66 ( implies @
% 91.30/13.66 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 91.30/13.66 thf(zip_derived_cl4, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (axiom @
% 91.30/13.66 (implies @ (implies @ X0 @ X1) @
% 91.30/13.66 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 91.30/13.66 inference('cnf', [status(esa)], [axiom_1_6])).
% 91.30/13.66 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 91.30/13.66 inference('cnf', [status(esa)], [rule_1])).
% 91.30/13.66 thf(zip_derived_cl39, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (theorem @
% 91.30/13.66 (implies @ (implies @ X2 @ X0) @
% 91.30/13.66 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 91.30/13.66 thf(zip_derived_cl7, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 ( (theorem @ X0)
% 91.30/13.66 | ~ (theorem @ (implies @ X1 @ X0))
% 91.30/13.66 | ~ (theorem @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [rule_2])).
% 91.30/13.66 thf(zip_derived_cl253, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (~ (theorem @ (implies @ X2 @ X0))
% 91.30/13.66 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl7])).
% 91.30/13.66 thf(zip_derived_cl280, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (theorem @
% 91.30/13.66 (implies @ (or @ X2 @ X0) @ (or @ X2 @ (implies @ X1 @ X0))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl253])).
% 91.30/13.66 thf(zip_derived_cl7, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 ( (theorem @ X0)
% 91.30/13.66 | ~ (theorem @ (implies @ X1 @ X0))
% 91.30/13.66 | ~ (theorem @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [rule_2])).
% 91.30/13.66 thf(zip_derived_cl474, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (~ (theorem @ (or @ X2 @ X0))
% 91.30/13.66 | (theorem @ (or @ X2 @ (implies @ X1 @ X0))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl280, zip_derived_cl7])).
% 91.30/13.66 thf(zip_derived_cl1195, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (theorem @ (or @ X0 @ (implies @ X1 @ (not @ X0))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl1178, zip_derived_cl474])).
% 91.30/13.66 thf(zip_derived_cl1031, plain,
% 91.30/13.66 (![X2 : $i]: (theorem @ (implies @ X2 @ X2))),
% 91.30/13.66 inference('sup+', [status(thm)], [zip_derived_cl1021, zip_derived_cl19])).
% 91.30/13.66 thf(zip_derived_cl5, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [implies_definition])).
% 91.30/13.66 thf(zip_derived_cl5, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [implies_definition])).
% 91.30/13.66 thf(zip_derived_cl20, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 91.30/13.66 thf(zip_derived_cl67, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 91.30/13.66 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl20])).
% 91.30/13.66 thf(zip_derived_cl7, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 ( (theorem @ X0)
% 91.30/13.66 | ~ (theorem @ (implies @ X1 @ X0))
% 91.30/13.66 | ~ (theorem @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [rule_2])).
% 91.30/13.66 thf(zip_derived_cl235, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 91.30/13.66 | (theorem @ (implies @ X1 @ X0)))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl7])).
% 91.30/13.66 thf(zip_derived_cl268, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (~ (theorem @ (implies @ X1 @ (not @ X0)))
% 91.30/13.66 | (theorem @ (implies @ X0 @ (not @ X1))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl235])).
% 91.30/13.66 thf(zip_derived_cl1186, plain,
% 91.30/13.66 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl1031, zip_derived_cl268])).
% 91.30/13.66 thf(zip_derived_cl253, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.30/13.66 (~ (theorem @ (implies @ X2 @ X0))
% 91.30/13.66 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl7])).
% 91.30/13.66 thf(zip_derived_cl1231, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (theorem @
% 91.30/13.66 (implies @ (or @ X1 @ X0) @ (or @ X1 @ (not @ (not @ X0)))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl1186, zip_derived_cl253])).
% 91.30/13.66 thf(zip_derived_cl7, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 ( (theorem @ X0)
% 91.30/13.66 | ~ (theorem @ (implies @ X1 @ X0))
% 91.30/13.66 | ~ (theorem @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [rule_2])).
% 91.30/13.66 thf(zip_derived_cl31272, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (~ (theorem @ (or @ X1 @ X0))
% 91.30/13.66 | (theorem @ (or @ X1 @ (not @ (not @ X0)))))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl1231, zip_derived_cl7])).
% 91.30/13.66 thf(zip_derived_cl41581, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (theorem @ (or @ X0 @ (not @ (not @ (implies @ X1 @ (not @ X0))))))),
% 91.30/13.66 inference('sup-', [status(thm)],
% 91.30/13.66 [zip_derived_cl1195, zip_derived_cl31272])).
% 91.30/13.66 thf(and_defn, axiom,
% 91.30/13.66 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 91.30/13.66 thf(zip_derived_cl8, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 91.30/13.66 inference('cnf', [status(esa)], [and_defn])).
% 91.30/13.66 thf(zip_derived_cl5, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 91.30/13.66 inference('cnf', [status(esa)], [implies_definition])).
% 91.30/13.66 thf(zip_derived_cl33, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 91.30/13.66 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 91.30/13.66 thf(zip_derived_cl41813, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: (theorem @ (or @ X0 @ (not @ (and @ X1 @ X0))))),
% 91.30/13.66 inference('demod', [status(thm)], [zip_derived_cl41581, zip_derived_cl33])).
% 91.30/13.66 thf(zip_derived_cl235, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]:
% 91.30/13.66 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 91.30/13.66 | (theorem @ (implies @ X1 @ X0)))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl7])).
% 91.30/13.66 thf(zip_derived_cl42440, plain,
% 91.30/13.66 (![X0 : $i, X1 : $i]: (theorem @ (implies @ (and @ X1 @ X0) @ X0))),
% 91.30/13.66 inference('sup-', [status(thm)], [zip_derived_cl41813, zip_derived_cl235])).
% 91.30/13.66 thf(zip_derived_cl42497, plain, ($false),
% 91.30/13.66 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl42440])).
% 91.30/13.66
% 91.30/13.66 % SZS output end Refutation
% 91.30/13.66
% 91.30/13.66
% 91.30/13.66 % Terminating...
% 14.32/13.70 % Runner terminated.
% 14.32/13.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------