%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL116-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xAcRBQBoB5 true
% Computer : n007.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 01:35:14 PM UTC 2026
% Result : Unsatisfiable 8.38s 1.81s
% Output : Refutation 8.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL116-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xAcRBQBoB5 true
% 0.10/0.34 % Computer : n007.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Sat Sep 5 13:55:54 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 % Running portfolio for 300 s
% 0.10/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Number of cores: 8
% 0.10/0.35 % Python version: Python 3.12.3
% 0.10/0.36 % Running in FO mode
% 0.46/0.64 % Total configuration time : 435
% 0.46/0.64 % Estimated wc time : 1092
% 0.46/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.38/1.81 % Solved by fo/fo13.sh.
% 8.38/1.81 % done 547 iterations in 1.003s
% 8.38/1.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.38/1.81 % SZS output start Refutation
% 8.38/1.81 thf(b_type, type, b: $i).
% 8.38/1.81 thf(truth_type, type, truth: $i).
% 8.38/1.81 thf(implies_type, type, implies: $i > $i > $i).
% 8.38/1.81 thf(a_type, type, a: $i).
% 8.38/1.81 thf(not_type, type, not: $i > $i).
% 8.38/1.81 thf(prove_mv_50, conjecture,
% 8.38/1.81 (( implies @ ( not @ a ) @ ( implies @ b @ ( not @ ( implies @ b @ a ) ) ) ) =
% 8.38/1.81 ( truth ))).
% 8.38/1.81 thf(zf_stmt_0, negated_conjecture,
% 8.38/1.81 (( implies @ ( not @ a ) @ ( implies @ b @ ( not @ ( implies @ b @ a ) ) ) ) !=
% 8.38/1.81 ( truth )),
% 8.38/1.81 inference('cnf.neg', [status(esa)], [prove_mv_50])).
% 8.38/1.81 thf(zip_derived_cl4, plain,
% 8.38/1.81 (((implies @ (not @ a) @ (implies @ b @ (not @ (implies @ b @ a))))
% 8.38/1.81 != (truth))),
% 8.38/1.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.38/1.81 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(wajsberg_4, axiom,
% 8.38/1.81 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 8.38/1.81 ( truth ))).
% 8.38/1.81 thf(zip_derived_cl3, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 8.38/1.81 = (truth))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_4])).
% 8.38/1.81 thf(zip_derived_cl11, plain,
% 8.38/1.81 (![X0 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(wajsberg_3, axiom,
% 8.38/1.81 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 8.38/1.81 ( implies @ ( implies @ Y @ X ) @ X ))).
% 8.38/1.81 thf(zip_derived_cl2, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ X1 @ X0) @ X0)
% 8.38/1.81 = (implies @ (implies @ X0 @ X1) @ X1))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_3])).
% 8.38/1.81 thf(zip_derived_cl5, plain,
% 8.38/1.81 (![X0 : $i]:
% 8.38/1.81 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(wajsberg_2, axiom,
% 8.38/1.81 (( implies @
% 8.38/1.81 ( implies @ X @ Y ) @
% 8.38/1.81 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 8.38/1.81 ( truth ))).
% 8.38/1.81 thf(zip_derived_cl1, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.38/1.81 ((implies @ (implies @ X0 @ X1) @
% 8.38/1.81 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_2])).
% 8.38/1.81 thf(zip_derived_cl25, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ truth @ X1) @
% 8.38/1.81 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl36, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 8.38/1.81 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl51, plain,
% 8.38/1.81 (![X0 : $i]: ((truth) = (implies @ (implies @ truth @ X0) @ X0))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl67, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 8.38/1.81 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl85, plain,
% 8.38/1.81 (![X0 : $i]: ((truth) = (implies @ (implies @ X0 @ truth) @ truth))),
% 8.38/1.81 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl67])).
% 8.38/1.81 thf(zip_derived_cl36, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 8.38/1.81 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl94, plain,
% 8.38/1.81 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl36])).
% 8.38/1.81 thf(zip_derived_cl1, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.38/1.81 ((implies @ (implies @ X0 @ X1) @
% 8.38/1.81 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_2])).
% 8.38/1.81 thf(zip_derived_cl109, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ truth @
% 8.38/1.81 (implies @ (implies @ truth @ X0) @ (implies @ X1 @ X0))) = (
% 8.38/1.81 truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl1])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl119, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]: ((implies @ X0 @ (implies @ X1 @ X0)) = (truth))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl109, zip_derived_cl0, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl2, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ X1 @ X0) @ X0)
% 8.38/1.81 = (implies @ (implies @ X0 @ X1) @ X1))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_3])).
% 8.38/1.81 thf(zip_derived_cl128, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X0)
% 8.38/1.81 = (implies @ truth @ (implies @ X1 @ X0)))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl2])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl145, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X0)
% 8.38/1.81 = (implies @ X1 @ X0))),
% 8.38/1.81 inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl244, plain,
% 8.38/1.81 (((implies @ truth @ (not @ truth))
% 8.38/1.81 = (implies @ (not @ (not @ truth)) @ (not @ truth)))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl145])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl258, plain,
% 8.38/1.81 (((not @ truth) = (implies @ (not @ (not @ truth)) @ (not @ truth)))),
% 8.38/1.81 inference('demod', [status(thm)], [zip_derived_cl244, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl3, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 8.38/1.81 = (truth))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_4])).
% 8.38/1.81 thf(zip_derived_cl275, plain,
% 8.38/1.81 (((implies @
% 8.38/1.81 (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))) @
% 8.38/1.81 (not @ truth)) = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl3])).
% 8.38/1.81 thf(zip_derived_cl11, plain,
% 8.38/1.81 (![X0 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 8.38/1.81 thf(zip_derived_cl2, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ X1 @ X0) @ X0)
% 8.38/1.81 = (implies @ (implies @ X0 @ X1) @ X1))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_3])).
% 8.38/1.81 thf(zip_derived_cl145, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X0)
% 8.38/1.81 = (implies @ X1 @ X0))),
% 8.38/1.81 inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl241, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1)
% 8.38/1.81 = (implies @ X0 @ X1))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl145])).
% 8.38/1.81 thf(zip_derived_cl324, plain,
% 8.38/1.81 (((implies @ truth @ (not @ (not @ truth)))
% 8.38/1.81 = (implies @ (not @ truth) @ (not @ (not @ truth))))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl241])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl343, plain,
% 8.38/1.81 (((not @ (not @ truth))
% 8.38/1.81 = (implies @ (not @ truth) @ (not @ (not @ truth))))),
% 8.38/1.81 inference('demod', [status(thm)], [zip_derived_cl324, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl3, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 8.38/1.81 = (truth))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_4])).
% 8.38/1.81 thf(zip_derived_cl373, plain,
% 8.38/1.81 (((implies @
% 8.38/1.81 (implies @ (not @ (not @ (not @ truth))) @ (not @ (not @ truth))) @
% 8.38/1.81 (not @ (not @ truth))) = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl343, zip_derived_cl3])).
% 8.38/1.81 thf(zip_derived_cl241, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1)
% 8.38/1.81 = (implies @ X0 @ X1))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl145])).
% 8.38/1.81 thf(zip_derived_cl402, plain,
% 8.38/1.81 (((implies @ truth @ (not @ (not @ (not @ truth))))
% 8.38/1.81 = (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl241])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl411, plain,
% 8.38/1.81 (((not @ (not @ (not @ truth)))
% 8.38/1.81 = (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))))),
% 8.38/1.81 inference('demod', [status(thm)], [zip_derived_cl402, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl604, plain,
% 8.38/1.81 (((implies @ (not @ (not @ (not @ truth))) @ (not @ truth)) = (truth))),
% 8.38/1.81 inference('demod', [status(thm)], [zip_derived_cl275, zip_derived_cl411])).
% 8.38/1.81 thf(zip_derived_cl3, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 8.38/1.81 = (truth))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_4])).
% 8.38/1.81 thf(zip_derived_cl644, plain,
% 8.38/1.81 (((implies @ truth @ (implies @ truth @ (not @ (not @ truth)))) = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl604, zip_derived_cl3])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl656, plain, (((not @ (not @ truth)) = (truth))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl644, zip_derived_cl0, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl3, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 8.38/1.81 = (truth))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_4])).
% 8.38/1.81 thf(zip_derived_cl665, plain,
% 8.38/1.81 (![X0 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ truth) @
% 8.38/1.81 (implies @ (not @ truth) @ X0)) = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl656, zip_derived_cl3])).
% 8.38/1.81 thf(zip_derived_cl94, plain,
% 8.38/1.81 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl36])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl669, plain,
% 8.38/1.81 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl665, zip_derived_cl94, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl2, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ X1 @ X0) @ X0)
% 8.38/1.81 = (implies @ (implies @ X0 @ X1) @ X1))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_3])).
% 8.38/1.81 thf(zip_derived_cl3, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 8.38/1.81 = (truth))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_4])).
% 8.38/1.81 thf(zip_derived_cl8, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X1) @ (not @ (implies @ X0 @ X1))) @
% 8.38/1.81 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 8.38/1.81 thf(zip_derived_cl680, plain,
% 8.38/1.81 (![X0 : $i]:
% 8.38/1.81 ((implies @
% 8.38/1.81 (implies @ (not @ (not @ truth)) @
% 8.38/1.81 (not @ (implies @ X0 @ (not @ truth)))) @
% 8.38/1.81 (implies @ truth @ X0)) = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl669, zip_derived_cl8])).
% 8.38/1.81 thf(zip_derived_cl656, plain, (((not @ (not @ truth)) = (truth))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl644, zip_derived_cl0, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl697, plain,
% 8.38/1.81 (![X0 : $i]:
% 8.38/1.81 ((implies @ (not @ (implies @ X0 @ (not @ truth))) @ X0) = (truth))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl680, zip_derived_cl656, zip_derived_cl0,
% 8.38/1.81 zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl3, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 8.38/1.81 = (truth))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_4])).
% 8.38/1.81 thf(zip_derived_cl817, plain,
% 8.38/1.81 (![X0 : $i]:
% 8.38/1.81 ((implies @ truth @
% 8.38/1.81 (implies @ X0 @ (implies @ (not @ X0) @ (not @ truth)))) = (
% 8.38/1.81 truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl697, zip_derived_cl3])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl866, plain,
% 8.38/1.81 (![X0 : $i]:
% 8.38/1.81 ((truth) = (implies @ X0 @ (implies @ (not @ X0) @ (not @ truth))))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl817, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl2, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ X1 @ X0) @ X0)
% 8.38/1.81 = (implies @ (implies @ X0 @ X1) @ X1))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_3])).
% 8.38/1.81 thf(zip_derived_cl1092, plain,
% 8.38/1.81 (![X0 : $i]:
% 8.38/1.81 ((implies @ (implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) @
% 8.38/1.81 X0) = (implies @ truth @ (implies @ (not @ X0) @ (not @ truth))))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl866, zip_derived_cl2])).
% 8.38/1.81 thf(zip_derived_cl11, plain,
% 8.38/1.81 (![X0 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl1121, plain,
% 8.38/1.81 (![X0 : $i]: ((X0) = (implies @ (not @ X0) @ (not @ truth)))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl1092, zip_derived_cl11, zip_derived_cl0,
% 8.38/1.81 zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl669, plain,
% 8.38/1.81 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl665, zip_derived_cl94, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl2, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ X1 @ X0) @ X0)
% 8.38/1.81 = (implies @ (implies @ X0 @ X1) @ X1))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_3])).
% 8.38/1.81 thf(zip_derived_cl674, plain,
% 8.38/1.81 (![X0 : $i]:
% 8.38/1.81 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth))
% 8.38/1.81 = (implies @ truth @ X0))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl669, zip_derived_cl2])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl692, plain,
% 8.38/1.81 (![X0 : $i]:
% 8.38/1.81 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth)) = (X0))),
% 8.38/1.81 inference('demod', [status(thm)], [zip_derived_cl674, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl1162, plain,
% 8.38/1.81 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl1121, zip_derived_cl692])).
% 8.38/1.81 thf(zip_derived_cl1121, plain,
% 8.38/1.81 (![X0 : $i]: ((X0) = (implies @ (not @ X0) @ (not @ truth)))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl1092, zip_derived_cl11, zip_derived_cl0,
% 8.38/1.81 zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl1215, plain, (![X0 : $i]: ((X0) = (not @ (not @ X0)))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl1162, zip_derived_cl1121])).
% 8.38/1.81 thf(zip_derived_cl1162, plain,
% 8.38/1.81 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl1121, zip_derived_cl692])).
% 8.38/1.81 thf(zip_derived_cl2, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ X1 @ X0) @ X0)
% 8.38/1.81 = (implies @ (implies @ X0 @ X1) @ X1))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_3])).
% 8.38/1.81 thf(zip_derived_cl1, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.38/1.81 ((implies @ (implies @ X0 @ X1) @
% 8.38/1.81 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_2])).
% 8.38/1.81 thf(zip_derived_cl21, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.38/1.81 ((implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 8.38/1.81 (implies @ (implies @ X2 @ X1) @
% 8.38/1.81 (implies @ (implies @ X1 @ X0) @ X0)))
% 8.38/1.81 = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 8.38/1.81 thf(zip_derived_cl1185, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ X1) @
% 8.38/1.81 (implies @ (implies @ X1 @ (not @ truth)) @
% 8.38/1.81 (implies @ (implies @ (not @ truth) @ X0) @ X0)))
% 8.38/1.81 = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl1162, zip_derived_cl21])).
% 8.38/1.81 thf(zip_derived_cl1162, plain,
% 8.38/1.81 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl1121, zip_derived_cl692])).
% 8.38/1.81 thf(zip_derived_cl669, plain,
% 8.38/1.81 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl665, zip_derived_cl94, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl1219, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ X1) @ (implies @ (not @ X1) @ X0))
% 8.38/1.81 = (truth))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl1185, zip_derived_cl1162, zip_derived_cl669,
% 8.38/1.81 zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl2, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ X1 @ X0) @ X0)
% 8.38/1.81 = (implies @ (implies @ X0 @ X1) @ X1))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_3])).
% 8.38/1.81 thf(zip_derived_cl2691, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @
% 8.38/1.81 (implies @ (implies @ (not @ X1) @ X0) @ (implies @ (not @ X0) @ X1)) @
% 8.38/1.81 (implies @ (not @ X0) @ X1))
% 8.38/1.81 = (implies @ truth @ (implies @ (not @ X1) @ X0)))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl1219, zip_derived_cl2])).
% 8.38/1.81 thf(zip_derived_cl1219, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X0) @ X1) @ (implies @ (not @ X1) @ X0))
% 8.38/1.81 = (truth))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl1185, zip_derived_cl1162, zip_derived_cl669,
% 8.38/1.81 zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl2774, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (not @ X0) @ X1) = (implies @ (not @ X1) @ X0))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl2691, zip_derived_cl1219, zip_derived_cl0,
% 8.38/1.81 zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl2910, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ X0 @ X1) = (implies @ (not @ X1) @ (not @ X0)))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl1215, zip_derived_cl2774])).
% 8.38/1.81 thf(zip_derived_cl2, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ X1 @ X0) @ X0)
% 8.38/1.81 = (implies @ (implies @ X0 @ X1) @ X1))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_3])).
% 8.38/1.81 thf(zip_derived_cl3347, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ (not @ X1) @ (not @ X0)) @ (not @ X0))
% 8.38/1.81 = (implies @ (implies @ X1 @ X0) @ (not @ X1)))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl2910, zip_derived_cl2])).
% 8.38/1.81 thf(zip_derived_cl2910, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ X0 @ X1) = (implies @ (not @ X1) @ (not @ X0)))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl1215, zip_derived_cl2774])).
% 8.38/1.81 thf(zip_derived_cl3392, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ X0 @ X1) @ (not @ X0))
% 8.38/1.81 = (implies @ (implies @ X1 @ X0) @ (not @ X1)))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl3347, zip_derived_cl2910])).
% 8.38/1.81 thf(zip_derived_cl1215, plain, (![X0 : $i]: ((X0) = (not @ (not @ X0)))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl1162, zip_derived_cl1121])).
% 8.38/1.81 thf(zip_derived_cl2910, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ X0 @ X1) = (implies @ (not @ X1) @ (not @ X0)))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl1215, zip_derived_cl2774])).
% 8.38/1.81 thf(zip_derived_cl3391, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ X1 @ (not @ X0)) = (implies @ X0 @ (not @ X1)))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl1215, zip_derived_cl2910])).
% 8.38/1.81 thf(zip_derived_cl5213, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (implies @ X0 @ X1) @ (not @ X0))
% 8.38/1.81 = (implies @ X1 @ (not @ (implies @ X1 @ X0))))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl3392, zip_derived_cl3391])).
% 8.38/1.81 thf(zip_derived_cl3391, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ X1 @ (not @ X0)) = (implies @ X0 @ (not @ X1)))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl1215, zip_derived_cl2910])).
% 8.38/1.81 thf(zip_derived_cl6363, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ X1 @ (not @ (implies @ X1 @ X0)))
% 8.38/1.81 = (implies @ X0 @ (not @ (implies @ X0 @ X1))))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl5213, zip_derived_cl3391])).
% 8.38/1.81 thf(zip_derived_cl1162, plain,
% 8.38/1.81 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 8.38/1.81 inference('s_sup+', [status(thm)],
% 8.38/1.81 [zip_derived_cl1121, zip_derived_cl692])).
% 8.38/1.81 thf(zip_derived_cl1, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.38/1.81 ((implies @ (implies @ X0 @ X1) @
% 8.38/1.81 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_2])).
% 8.38/1.81 thf(zip_derived_cl1182, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (not @ X0) @
% 8.38/1.81 (implies @ (implies @ (not @ truth) @ X1) @ (implies @ X0 @ X1)))
% 8.38/1.81 = (truth))),
% 8.38/1.81 inference('s_sup+', [status(thm)], [zip_derived_cl1162, zip_derived_cl1])).
% 8.38/1.81 thf(zip_derived_cl669, plain,
% 8.38/1.81 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl665, zip_derived_cl94, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 8.38/1.81 inference('cnf', [status(esa)], [wajsberg_1])).
% 8.38/1.81 thf(zip_derived_cl1216, plain,
% 8.38/1.81 (![X0 : $i, X1 : $i]:
% 8.38/1.81 ((implies @ (not @ X0) @ (implies @ X0 @ X1)) = (truth))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl1182, zip_derived_cl669, zip_derived_cl0])).
% 8.38/1.81 thf(zip_derived_cl6559, plain, (((truth) != (truth))),
% 8.38/1.81 inference('demod', [status(thm)],
% 8.38/1.81 [zip_derived_cl4, zip_derived_cl6363, zip_derived_cl1216])).
% 8.38/1.81 thf(zip_derived_cl6560, plain, ($false),
% 8.38/1.81 inference('simplify', [status(thm)], [zip_derived_cl6559])).
% 8.38/1.81
% 8.38/1.81 % SZS output end Refutation
% 8.38/1.81
% 8.38/1.81
% 8.38/1.81 % Terminating...
% 8.38/1.86 % Runner terminated.
% 8.38/1.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------