%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL113-2 : 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.7FHT1SLwlF true
% Computer : n019.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 3.00s 1.12s
% Output : Refutation 3.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL113-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7FHT1SLwlF true
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 20:16:23 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Number of cores: 8
% 0.10/0.37 % Python version: Python 3.12.3
% 0.10/0.37 % Running in FO mode
% 0.45/0.65 % Total configuration time : 435
% 0.45/0.65 % Estimated wc time : 1092
% 0.45/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.00/1.12 % Solved by fo/fo4.sh.
% 3.00/1.12 % done 257 iterations in 0.297s
% 3.00/1.12 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.00/1.12 % SZS output start Refutation
% 3.00/1.12 thf(y_type, type, y: $i).
% 3.00/1.12 thf(truth_type, type, truth: $i).
% 3.00/1.12 thf(implies_type, type, implies: $i > $i > $i).
% 3.00/1.12 thf(x_type, type, x: $i).
% 3.00/1.12 thf(not_type, type, not: $i > $i).
% 3.00/1.12 thf(prove_mv_33, conjecture,
% 3.00/1.12 (( implies @ ( implies @ ( not @ x ) @ y ) @ ( implies @ ( not @ y ) @ x ) ) =
% 3.00/1.12 ( truth ))).
% 3.00/1.12 thf(zf_stmt_0, negated_conjecture,
% 3.00/1.12 (( implies @ ( implies @ ( not @ x ) @ y ) @ ( implies @ ( not @ y ) @ x ) ) !=
% 3.00/1.12 ( truth )),
% 3.00/1.12 inference('cnf.neg', [status(esa)], [prove_mv_33])).
% 3.00/1.12 thf(zip_derived_cl4, plain,
% 3.00/1.12 (((implies @ (implies @ (not @ x) @ y) @ (implies @ (not @ y) @ x))
% 3.00/1.12 != (truth))),
% 3.00/1.12 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.00/1.12 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(wajsberg_4, axiom,
% 3.00/1.12 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 3.00/1.12 ( truth ))).
% 3.00/1.12 thf(zip_derived_cl3, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 3.00/1.12 = (truth))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_4])).
% 3.00/1.12 thf(zip_derived_cl11, plain,
% 3.00/1.12 (![X0 : $i]:
% 3.00/1.12 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(wajsberg_3, axiom,
% 3.00/1.12 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 3.00/1.12 ( implies @ ( implies @ Y @ X ) @ X ))).
% 3.00/1.12 thf(zip_derived_cl2, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ X1 @ X0) @ X0)
% 3.00/1.12 = (implies @ (implies @ X0 @ X1) @ X1))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_3])).
% 3.00/1.12 thf(zip_derived_cl5, plain,
% 3.00/1.12 (![X0 : $i]:
% 3.00/1.12 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(wajsberg_2, axiom,
% 3.00/1.12 (( implies @
% 3.00/1.12 ( implies @ X @ Y ) @
% 3.00/1.12 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 3.00/1.12 ( truth ))).
% 3.00/1.12 thf(zip_derived_cl1, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.00/1.12 ((implies @ (implies @ X0 @ X1) @
% 3.00/1.12 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_2])).
% 3.00/1.12 thf(zip_derived_cl25, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ truth @ X1) @
% 3.00/1.12 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl36, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 3.00/1.12 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl51, plain,
% 3.00/1.12 (![X0 : $i]: ((truth) = (implies @ (implies @ truth @ X0) @ X0))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl67, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 3.00/1.12 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl85, plain,
% 3.00/1.12 (![X0 : $i]: ((truth) = (implies @ (implies @ X0 @ truth) @ truth))),
% 3.00/1.12 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl67])).
% 3.00/1.12 thf(zip_derived_cl36, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 3.00/1.12 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl94, plain,
% 3.00/1.12 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl36])).
% 3.00/1.12 thf(zip_derived_cl1, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.00/1.12 ((implies @ (implies @ X0 @ X1) @
% 3.00/1.12 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_2])).
% 3.00/1.12 thf(zip_derived_cl109, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ truth @
% 3.00/1.12 (implies @ (implies @ truth @ X0) @ (implies @ X1 @ X0))) = (
% 3.00/1.12 truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl1])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl119, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]: ((implies @ X0 @ (implies @ X1 @ X0)) = (truth))),
% 3.00/1.12 inference('demod', [status(thm)],
% 3.00/1.12 [zip_derived_cl109, zip_derived_cl0, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl2, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ X1 @ X0) @ X0)
% 3.00/1.12 = (implies @ (implies @ X0 @ X1) @ X1))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_3])).
% 3.00/1.12 thf(zip_derived_cl129, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X0)
% 3.00/1.12 = (implies @ truth @ (implies @ X1 @ X0)))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl2])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl146, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X0)
% 3.00/1.12 = (implies @ X1 @ X0))),
% 3.00/1.12 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl247, plain,
% 3.00/1.12 (((implies @ truth @ (not @ truth))
% 3.00/1.12 = (implies @ (not @ (not @ truth)) @ (not @ truth)))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl146])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl261, plain,
% 3.00/1.12 (((not @ truth) = (implies @ (not @ (not @ truth)) @ (not @ truth)))),
% 3.00/1.12 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl3, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 3.00/1.12 = (truth))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_4])).
% 3.00/1.12 thf(zip_derived_cl276, plain,
% 3.00/1.12 (((implies @
% 3.00/1.12 (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))) @
% 3.00/1.12 (not @ truth)) = (truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl261, zip_derived_cl3])).
% 3.00/1.12 thf(zip_derived_cl11, plain,
% 3.00/1.12 (![X0 : $i]:
% 3.00/1.12 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 3.00/1.12 thf(zip_derived_cl2, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ X1 @ X0) @ X0)
% 3.00/1.12 = (implies @ (implies @ X0 @ X1) @ X1))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_3])).
% 3.00/1.12 thf(zip_derived_cl146, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X0)
% 3.00/1.12 = (implies @ X1 @ X0))),
% 3.00/1.12 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl244, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1)
% 3.00/1.12 = (implies @ X0 @ X1))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl146])).
% 3.00/1.12 thf(zip_derived_cl469, plain,
% 3.00/1.12 (((implies @ truth @ (not @ (not @ truth)))
% 3.00/1.12 = (implies @ (not @ truth) @ (not @ (not @ truth))))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl244])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl491, plain,
% 3.00/1.12 (((not @ (not @ truth))
% 3.00/1.12 = (implies @ (not @ truth) @ (not @ (not @ truth))))),
% 3.00/1.12 inference('demod', [status(thm)], [zip_derived_cl469, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl3, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 3.00/1.12 = (truth))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_4])).
% 3.00/1.12 thf(zip_derived_cl525, plain,
% 3.00/1.12 (((implies @
% 3.00/1.12 (implies @ (not @ (not @ (not @ truth))) @ (not @ (not @ truth))) @
% 3.00/1.12 (not @ (not @ truth))) = (truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl491, zip_derived_cl3])).
% 3.00/1.12 thf(zip_derived_cl244, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1)
% 3.00/1.12 = (implies @ X0 @ X1))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl146])).
% 3.00/1.12 thf(zip_derived_cl558, plain,
% 3.00/1.12 (((implies @ truth @ (not @ (not @ (not @ truth))))
% 3.00/1.12 = (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl525, zip_derived_cl244])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl568, plain,
% 3.00/1.12 (((not @ (not @ (not @ truth)))
% 3.00/1.12 = (implies @ (not @ (not @ truth)) @ (not @ (not @ (not @ truth)))))),
% 3.00/1.12 inference('demod', [status(thm)], [zip_derived_cl558, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl590, plain,
% 3.00/1.12 (((implies @ (not @ (not @ (not @ truth))) @ (not @ truth)) = (truth))),
% 3.00/1.12 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl568])).
% 3.00/1.12 thf(zip_derived_cl3, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 3.00/1.12 = (truth))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_4])).
% 3.00/1.12 thf(zip_derived_cl629, plain,
% 3.00/1.12 (((implies @ truth @ (implies @ truth @ (not @ (not @ truth)))) = (truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl590, zip_derived_cl3])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl640, plain, (((not @ (not @ truth)) = (truth))),
% 3.00/1.12 inference('demod', [status(thm)],
% 3.00/1.12 [zip_derived_cl629, zip_derived_cl0, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl3, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 3.00/1.12 = (truth))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_4])).
% 3.00/1.12 thf(zip_derived_cl649, plain,
% 3.00/1.12 (![X0 : $i]:
% 3.00/1.12 ((implies @ (implies @ (not @ X0) @ truth) @
% 3.00/1.12 (implies @ (not @ truth) @ X0)) = (truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl640, zip_derived_cl3])).
% 3.00/1.12 thf(zip_derived_cl94, plain,
% 3.00/1.12 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl36])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl653, plain,
% 3.00/1.12 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 3.00/1.12 inference('demod', [status(thm)],
% 3.00/1.12 [zip_derived_cl649, zip_derived_cl94, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl2, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ X1 @ X0) @ X0)
% 3.00/1.12 = (implies @ (implies @ X0 @ X1) @ X1))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_3])).
% 3.00/1.12 thf(zip_derived_cl3, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 3.00/1.12 = (truth))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_4])).
% 3.00/1.12 thf(zip_derived_cl8, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (not @ X1) @ (not @ (implies @ X0 @ X1))) @
% 3.00/1.12 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 3.00/1.12 thf(zip_derived_cl662, plain,
% 3.00/1.12 (![X0 : $i]:
% 3.00/1.12 ((implies @
% 3.00/1.12 (implies @ (not @ (not @ truth)) @
% 3.00/1.12 (not @ (implies @ X0 @ (not @ truth)))) @
% 3.00/1.12 (implies @ truth @ X0)) = (truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl653, zip_derived_cl8])).
% 3.00/1.12 thf(zip_derived_cl640, plain, (((not @ (not @ truth)) = (truth))),
% 3.00/1.12 inference('demod', [status(thm)],
% 3.00/1.12 [zip_derived_cl629, zip_derived_cl0, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl679, plain,
% 3.00/1.12 (![X0 : $i]:
% 3.00/1.12 ((implies @ (not @ (implies @ X0 @ (not @ truth))) @ X0) = (truth))),
% 3.00/1.12 inference('demod', [status(thm)],
% 3.00/1.12 [zip_derived_cl662, zip_derived_cl640, zip_derived_cl0,
% 3.00/1.12 zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl3, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 3.00/1.12 = (truth))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_4])).
% 3.00/1.12 thf(zip_derived_cl794, plain,
% 3.00/1.12 (![X0 : $i]:
% 3.00/1.12 ((implies @ truth @
% 3.00/1.12 (implies @ X0 @ (implies @ (not @ X0) @ (not @ truth)))) = (
% 3.00/1.12 truth))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl679, zip_derived_cl3])).
% 3.00/1.12 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.12 thf(zip_derived_cl1114, plain,
% 3.00/1.12 (![X0 : $i]:
% 3.00/1.12 ((truth) = (implies @ X0 @ (implies @ (not @ X0) @ (not @ truth))))),
% 3.00/1.12 inference('sup+', [status(thm)], [zip_derived_cl794, zip_derived_cl0])).
% 3.00/1.12 thf(zip_derived_cl2, plain,
% 3.00/1.12 (![X0 : $i, X1 : $i]:
% 3.00/1.12 ((implies @ (implies @ X1 @ X0) @ X0)
% 3.00/1.12 = (implies @ (implies @ X0 @ X1) @ X1))),
% 3.00/1.12 inference('cnf', [status(esa)], [wajsberg_3])).
% 3.00/1.13 thf(zip_derived_cl1146, plain,
% 3.00/1.13 (![X0 : $i]:
% 3.00/1.13 ((implies @ (implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) @
% 3.00/1.13 X0) = (implies @ truth @ (implies @ (not @ X0) @ (not @ truth))))),
% 3.00/1.13 inference('sup+', [status(thm)], [zip_derived_cl1114, zip_derived_cl2])).
% 3.00/1.13 thf(zip_derived_cl11, plain,
% 3.00/1.13 (![X0 : $i]:
% 3.00/1.13 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 3.00/1.13 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 3.00/1.13 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.13 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.13 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.13 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.13 thf(zip_derived_cl1175, plain,
% 3.00/1.13 (![X0 : $i]: ((X0) = (implies @ (not @ X0) @ (not @ truth)))),
% 3.00/1.13 inference('demod', [status(thm)],
% 3.00/1.13 [zip_derived_cl1146, zip_derived_cl11, zip_derived_cl0,
% 3.00/1.13 zip_derived_cl0])).
% 3.00/1.13 thf(zip_derived_cl653, plain,
% 3.00/1.13 (![X0 : $i]: ((implies @ (not @ truth) @ X0) = (truth))),
% 3.00/1.13 inference('demod', [status(thm)],
% 3.00/1.13 [zip_derived_cl649, zip_derived_cl94, zip_derived_cl0])).
% 3.00/1.13 thf(zip_derived_cl2, plain,
% 3.00/1.13 (![X0 : $i, X1 : $i]:
% 3.00/1.13 ((implies @ (implies @ X1 @ X0) @ X0)
% 3.00/1.13 = (implies @ (implies @ X0 @ X1) @ X1))),
% 3.00/1.13 inference('cnf', [status(esa)], [wajsberg_3])).
% 3.00/1.13 thf(zip_derived_cl656, plain,
% 3.00/1.13 (![X0 : $i]:
% 3.00/1.13 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth))
% 3.00/1.13 = (implies @ truth @ X0))),
% 3.00/1.13 inference('sup+', [status(thm)], [zip_derived_cl653, zip_derived_cl2])).
% 3.00/1.13 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.13 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.13 thf(zip_derived_cl674, plain,
% 3.00/1.13 (![X0 : $i]:
% 3.00/1.13 ((implies @ (implies @ X0 @ (not @ truth)) @ (not @ truth)) = (X0))),
% 3.00/1.13 inference('demod', [status(thm)], [zip_derived_cl656, zip_derived_cl0])).
% 3.00/1.13 thf(zip_derived_cl1214, plain,
% 3.00/1.13 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 3.00/1.13 inference('sup+', [status(thm)], [zip_derived_cl1175, zip_derived_cl674])).
% 3.00/1.13 thf(zip_derived_cl1175, plain,
% 3.00/1.13 (![X0 : $i]: ((X0) = (implies @ (not @ X0) @ (not @ truth)))),
% 3.00/1.13 inference('demod', [status(thm)],
% 3.00/1.13 [zip_derived_cl1146, zip_derived_cl11, zip_derived_cl0,
% 3.00/1.13 zip_derived_cl0])).
% 3.00/1.13 thf(zip_derived_cl1265, plain, (![X0 : $i]: ((X0) = (not @ (not @ X0)))),
% 3.00/1.13 inference('sup+', [status(thm)], [zip_derived_cl1214, zip_derived_cl1175])).
% 3.00/1.13 thf(zip_derived_cl1214, plain,
% 3.00/1.13 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 3.00/1.13 inference('sup+', [status(thm)], [zip_derived_cl1175, zip_derived_cl674])).
% 3.00/1.13 thf(zip_derived_cl1, plain,
% 3.00/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.00/1.13 ((implies @ (implies @ X0 @ X1) @
% 3.00/1.13 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 3.00/1.13 inference('cnf', [status(esa)], [wajsberg_2])).
% 3.00/1.13 thf(zip_derived_cl1238, plain,
% 3.00/1.13 (![X0 : $i, X1 : $i]:
% 3.00/1.13 ((implies @ (implies @ X1 @ X0) @
% 3.00/1.13 (implies @ (not @ X0) @ (implies @ X1 @ (not @ truth)))) = (
% 3.00/1.13 truth))),
% 3.00/1.13 inference('sup+', [status(thm)], [zip_derived_cl1214, zip_derived_cl1])).
% 3.00/1.13 thf(zip_derived_cl1214, plain,
% 3.00/1.13 (![X0 : $i]: ((implies @ X0 @ (not @ truth)) = (not @ X0))),
% 3.00/1.13 inference('sup+', [status(thm)], [zip_derived_cl1175, zip_derived_cl674])).
% 3.00/1.13 thf(zip_derived_cl1269, plain,
% 3.00/1.13 (![X0 : $i, X1 : $i]:
% 3.00/1.13 ((implies @ (implies @ X1 @ X0) @ (implies @ (not @ X0) @ (not @ X1)))
% 3.00/1.13 = (truth))),
% 3.00/1.13 inference('demod', [status(thm)],
% 3.00/1.13 [zip_derived_cl1238, zip_derived_cl1214])).
% 3.00/1.13 thf(zip_derived_cl2, plain,
% 3.00/1.13 (![X0 : $i, X1 : $i]:
% 3.00/1.13 ((implies @ (implies @ X1 @ X0) @ X0)
% 3.00/1.13 = (implies @ (implies @ X0 @ X1) @ X1))),
% 3.00/1.13 inference('cnf', [status(esa)], [wajsberg_3])).
% 3.00/1.13 thf(zip_derived_cl1696, plain,
% 3.00/1.13 (![X0 : $i, X1 : $i]:
% 3.00/1.13 ((implies @
% 3.00/1.13 (implies @ (implies @ (not @ X1) @ (not @ X0)) @ (implies @ X0 @ X1)) @
% 3.00/1.13 (implies @ X0 @ X1))
% 3.00/1.13 = (implies @ truth @ (implies @ (not @ X1) @ (not @ X0))))),
% 3.00/1.13 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl2])).
% 3.00/1.13 thf(zip_derived_cl3, plain,
% 3.00/1.13 (![X0 : $i, X1 : $i]:
% 3.00/1.13 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 3.00/1.13 = (truth))),
% 3.00/1.13 inference('cnf', [status(esa)], [wajsberg_4])).
% 3.00/1.13 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.13 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.13 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 3.00/1.13 inference('cnf', [status(esa)], [wajsberg_1])).
% 3.00/1.13 thf(zip_derived_cl1768, plain,
% 3.00/1.13 (![X0 : $i, X1 : $i]:
% 3.00/1.13 ((implies @ X0 @ X1) = (implies @ (not @ X1) @ (not @ X0)))),
% 3.00/1.13 inference('demod', [status(thm)],
% 3.00/1.13 [zip_derived_cl1696, zip_derived_cl3, zip_derived_cl0,
% 3.00/1.13 zip_derived_cl0])).
% 3.00/1.13 thf(zip_derived_cl1816, plain,
% 3.00/1.13 (![X0 : $i, X1 : $i]:
% 3.00/1.13 ((implies @ (not @ X0) @ X1) = (implies @ (not @ X1) @ X0))),
% 3.00/1.13 inference('sup+', [status(thm)], [zip_derived_cl1265, zip_derived_cl1768])).
% 3.00/1.13 thf(zip_derived_cl67, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 3.00/1.13 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 3.00/1.13 thf(zip_derived_cl1826, plain, (((truth) != (truth))),
% 3.00/1.13 inference('demod', [status(thm)],
% 3.00/1.13 [zip_derived_cl4, zip_derived_cl1816, zip_derived_cl67])).
% 3.00/1.13 thf(zip_derived_cl1827, plain, ($false),
% 3.00/1.13 inference('simplify', [status(thm)], [zip_derived_cl1826])).
% 3.00/1.13
% 3.00/1.13 % SZS output end Refutation
% 3.00/1.13
% 3.00/1.13
% 3.00/1.13 % Terminating...
% 1.77/1.16 % Runner terminated.
% 1.77/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------