%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL112-2 : 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.9HXgaeQDn2 true
% Computer : n008.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 01:35:13 PM UTC 2026
% Result : Unsatisfiable 0.41s 0.95s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL112-2 : 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.9HXgaeQDn2 true
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 05:34:38 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Running portfolio for 300 s
% 0.09/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Number of cores: 8
% 0.09/0.35 % Python version: Python 3.12.3
% 0.09/0.36 % Running in FO mode
% 0.38/0.57 % Total configuration time : 435
% 0.38/0.57 % Estimated wc time : 1092
% 0.38/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.39/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.39/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.39/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.39/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.39/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.39/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.39/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.41/0.95 % Solved by fo/fo4.sh.
% 0.41/0.95 % done 164 iterations in 0.195s
% 0.41/0.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.41/0.95 % SZS output start Refutation
% 0.41/0.95 thf(truth_type, type, truth: $i).
% 0.41/0.95 thf(implies_type, type, implies: $i > $i > $i).
% 0.41/0.95 thf(x_type, type, x: $i).
% 0.41/0.95 thf(not_type, type, not: $i > $i).
% 0.41/0.95 thf(prove_mv_29, conjecture,
% 0.41/0.95 (( implies @ x @ ( not @ ( not @ x ) ) ) = ( truth ))).
% 0.41/0.95 thf(zf_stmt_0, negated_conjecture,
% 0.41/0.95 (( implies @ x @ ( not @ ( not @ x ) ) ) != ( truth )),
% 0.41/0.95 inference('cnf.neg', [status(esa)], [prove_mv_29])).
% 0.41/0.95 thf(zip_derived_cl4, plain, (((implies @ x @ (not @ (not @ x))) != (truth))),
% 0.41/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.41/0.95 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(wajsberg_4, axiom,
% 0.41/0.95 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 0.41/0.95 ( truth ))).
% 0.41/0.95 thf(zip_derived_cl3, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.41/0.95 = (truth))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.41/0.95 thf(zip_derived_cl11, plain,
% 0.41/0.95 (![X0 : $i]:
% 0.41/0.95 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(wajsberg_3, axiom,
% 0.41/0.95 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 0.41/0.95 ( implies @ ( implies @ Y @ X ) @ X ))).
% 0.41/0.95 thf(zip_derived_cl2, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.41/0.95 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.41/0.95 thf(zip_derived_cl5, plain,
% 0.41/0.95 (![X0 : $i]:
% 0.41/0.95 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(wajsberg_2, axiom,
% 0.41/0.95 (( implies @
% 0.41/0.95 ( implies @ X @ Y ) @
% 0.41/0.95 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 0.41/0.95 ( truth ))).
% 0.41/0.95 thf(zip_derived_cl1, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.95 ((implies @ (implies @ X0 @ X1) @
% 0.41/0.95 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_2])).
% 0.41/0.95 thf(zip_derived_cl25, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ truth @ X1) @
% 0.41/0.95 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl36, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.41/0.95 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl51, plain,
% 0.41/0.95 (![X0 : $i]: ((truth) = (implies @ (implies @ truth @ X0) @ X0))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl67, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 0.41/0.95 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl85, plain,
% 0.41/0.95 (![X0 : $i]: ((truth) = (implies @ (implies @ X0 @ truth) @ truth))),
% 0.41/0.95 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl67])).
% 0.41/0.95 thf(zip_derived_cl36, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.41/0.95 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl94, plain,
% 0.41/0.95 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl36])).
% 0.41/0.95 thf(zip_derived_cl1, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.41/0.95 ((implies @ (implies @ X0 @ X1) @
% 0.41/0.95 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_2])).
% 0.41/0.95 thf(zip_derived_cl109, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ truth @
% 0.41/0.95 (implies @ (implies @ truth @ X0) @ (implies @ X1 @ X0))) = (
% 0.41/0.95 truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl1])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl119, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]: ((implies @ X0 @ (implies @ X1 @ X0)) = (truth))),
% 0.41/0.95 inference('demod', [status(thm)],
% 0.41/0.95 [zip_derived_cl109, zip_derived_cl0, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl2, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.41/0.95 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.41/0.95 thf(zip_derived_cl129, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X0)
% 0.41/0.95 = (implies @ truth @ (implies @ X1 @ X0)))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl2])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl146, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X0)
% 0.41/0.95 = (implies @ X1 @ X0))),
% 0.41/0.95 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl247, plain,
% 0.41/0.95 (((implies @ truth @ (not @ truth))
% 0.41/0.95 = (implies @ (not @ (not @ truth)) @ (not @ truth)))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl146])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl261, plain,
% 0.41/0.95 (((not @ truth) = (implies @ (not @ (not @ truth)) @ (not @ truth)))),
% 0.41/0.95 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl3, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.41/0.95 = (truth))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.41/0.95 thf(zip_derived_cl276, plain,
% 0.41/0.95 (((implies @
% 0.41/0.95 (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))) @
% 0.41/0.95 (not @ truth)) = (truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl261, zip_derived_cl3])).
% 0.41/0.95 thf(zip_derived_cl11, plain,
% 0.41/0.95 (![X0 : $i]:
% 0.41/0.95 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.41/0.95 thf(zip_derived_cl2, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.41/0.95 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.41/0.95 thf(zip_derived_cl146, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X0)
% 0.41/0.95 = (implies @ X1 @ X0))),
% 0.41/0.95 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl244, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1)
% 0.41/0.95 = (implies @ X0 @ X1))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl146])).
% 0.41/0.95 thf(zip_derived_cl469, plain,
% 0.41/0.95 (((implies @ truth @ (not @ (not @ truth)))
% 0.41/0.95 = (implies @ (not @ truth) @ (not @ (not @ truth))))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl244])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl491, plain,
% 0.41/0.95 (((not @ (not @ truth))
% 0.41/0.95 = (implies @ (not @ truth) @ (not @ (not @ truth))))),
% 0.41/0.95 inference('demod', [status(thm)], [zip_derived_cl469, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl3, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.41/0.95 = (truth))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.41/0.95 thf(zip_derived_cl525, plain,
% 0.41/0.95 (((implies @
% 0.41/0.95 (implies @ (not @ (not @ (not @ truth))) @ (not @ (not @ truth))) @
% 0.41/0.95 (not @ (not @ truth))) = (truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl491, zip_derived_cl3])).
% 0.41/0.95 thf(zip_derived_cl244, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1)
% 0.41/0.95 = (implies @ X0 @ X1))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl146])).
% 0.41/0.95 thf(zip_derived_cl558, plain,
% 0.41/0.95 (((implies @ truth @ (not @ (not @ (not @ truth))))
% 0.41/0.95 = (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl525, zip_derived_cl244])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl568, plain,
% 0.41/0.95 (((not @ (not @ (not @ truth)))
% 0.41/0.95 = (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))))),
% 0.41/0.95 inference('demod', [status(thm)], [zip_derived_cl558, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl590, plain,
% 0.41/0.95 (((implies @ (not @ (not @ (not @ truth))) @ (not @ truth)) = (truth))),
% 0.41/0.95 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl568])).
% 0.41/0.95 thf(zip_derived_cl3, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.41/0.95 = (truth))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.41/0.95 thf(zip_derived_cl629, plain,
% 0.41/0.95 (((implies @ truth @ (implies @ truth @ (not @ (not @ truth)))) = (truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl590, zip_derived_cl3])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl640, plain, (((not @ (not @ truth)) = (truth))),
% 0.41/0.95 inference('demod', [status(thm)],
% 0.41/0.95 [zip_derived_cl629, zip_derived_cl0, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl3, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.41/0.95 = (truth))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.41/0.95 thf(zip_derived_cl649, plain,
% 0.41/0.95 (![X0 : $i]:
% 0.41/0.95 ((implies @ (implies @ (not @ X0) @ truth) @
% 0.41/0.95 (implies @ (not @ truth) @ X0)) = (truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl640, zip_derived_cl3])).
% 0.41/0.95 thf(zip_derived_cl94, plain,
% 0.41/0.95 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl36])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl653, plain,
% 0.41/0.95 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 0.41/0.95 inference('demod', [status(thm)],
% 0.41/0.95 [zip_derived_cl649, zip_derived_cl94, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl2, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.41/0.95 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.41/0.95 thf(zip_derived_cl3, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.41/0.95 = (truth))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.41/0.95 thf(zip_derived_cl8, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (not @ X1) @ (not @ (implies @ X0 @ X1))) @
% 0.41/0.95 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 0.41/0.95 thf(zip_derived_cl662, plain,
% 0.41/0.95 (![X0 : $i]:
% 0.41/0.95 ((implies @
% 0.41/0.95 (implies @ (not @ (not @ truth)) @
% 0.41/0.95 (not @ (implies @ X0 @ (not @ truth)))) @
% 0.41/0.95 (implies @ truth @ X0)) = (truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl653, zip_derived_cl8])).
% 0.41/0.95 thf(zip_derived_cl640, plain, (((not @ (not @ truth)) = (truth))),
% 0.41/0.95 inference('demod', [status(thm)],
% 0.41/0.95 [zip_derived_cl629, zip_derived_cl0, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl679, plain,
% 0.41/0.95 (![X0 : $i]:
% 0.41/0.95 ((implies @ (not @ (implies @ X0 @ (not @ truth))) @ X0) = (truth))),
% 0.41/0.95 inference('demod', [status(thm)],
% 0.41/0.95 [zip_derived_cl662, zip_derived_cl640, zip_derived_cl0,
% 0.41/0.95 zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl3, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.41/0.95 = (truth))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.41/0.95 thf(zip_derived_cl794, plain,
% 0.41/0.95 (![X0 : $i]:
% 0.41/0.95 ((implies @ truth @
% 0.41/0.95 (implies @ X0 @ (implies @ (not @ X0) @ (not @ truth)))) = (
% 0.41/0.95 truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl679, zip_derived_cl3])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl1114, plain,
% 0.41/0.95 (![X0 : $i]:
% 0.41/0.95 ((truth) = (implies @ X0 @ (implies @ (not @ X0) @ (not @ truth))))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl794, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl2, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.41/0.95 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.41/0.95 thf(zip_derived_cl1146, plain,
% 0.41/0.95 (![X0 : $i]:
% 0.41/0.95 ((implies @ (implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) @
% 0.41/0.95 X0) = (implies @ truth @ (implies @ (not @ X0) @ (not @ truth))))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl1114, zip_derived_cl2])).
% 0.41/0.95 thf(zip_derived_cl11, plain,
% 0.41/0.95 (![X0 : $i]:
% 0.41/0.95 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl1175, plain,
% 0.41/0.95 (![X0 : $i]: ((X0) = (implies @ (not @ X0) @ (not @ truth)))),
% 0.41/0.95 inference('demod', [status(thm)],
% 0.41/0.95 [zip_derived_cl1146, zip_derived_cl11, zip_derived_cl0,
% 0.41/0.95 zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl653, plain,
% 0.41/0.95 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 0.41/0.95 inference('demod', [status(thm)],
% 0.41/0.95 [zip_derived_cl649, zip_derived_cl94, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl2, plain,
% 0.41/0.95 (![X0 : $i, X1 : $i]:
% 0.41/0.95 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.41/0.95 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.41/0.95 thf(zip_derived_cl656, plain,
% 0.41/0.95 (![X0 : $i]:
% 0.41/0.95 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth))
% 0.41/0.95 = (implies @ truth @ X0))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl653, zip_derived_cl2])).
% 0.41/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.41/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.41/0.95 thf(zip_derived_cl674, plain,
% 0.41/0.95 (![X0 : $i]:
% 0.41/0.95 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth)) = (X0))),
% 0.41/0.95 inference('demod', [status(thm)], [zip_derived_cl656, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl1214, plain,
% 0.41/0.95 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl1175, zip_derived_cl674])).
% 0.41/0.95 thf(zip_derived_cl1175, plain,
% 0.41/0.95 (![X0 : $i]: ((X0) = (implies @ (not @ X0) @ (not @ truth)))),
% 0.41/0.95 inference('demod', [status(thm)],
% 0.41/0.95 [zip_derived_cl1146, zip_derived_cl11, zip_derived_cl0,
% 0.41/0.95 zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl1265, plain, (![X0 : $i]: ((X0) = (not @ (not @ X0)))),
% 0.41/0.95 inference('sup+', [status(thm)], [zip_derived_cl1214, zip_derived_cl1175])).
% 0.41/0.95 thf(zip_derived_cl67, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 0.41/0.95 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.41/0.95 thf(zip_derived_cl1294, plain, (((truth) != (truth))),
% 0.41/0.95 inference('demod', [status(thm)],
% 0.41/0.95 [zip_derived_cl4, zip_derived_cl1265, zip_derived_cl67])).
% 0.41/0.95 thf(zip_derived_cl1295, plain, ($false),
% 0.41/0.95 inference('simplify', [status(thm)], [zip_derived_cl1294])).
% 0.41/0.95
% 0.41/0.95 % SZS output end Refutation
% 0.41/0.95
% 0.41/0.95
% 0.41/0.95 % Terminating...
% 0.41/0.99 % Runner terminated.
% 0.41/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------