%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT394-2 : TPTP v9.2.0. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UrEC0IAu3d true
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:41:49 PM UTC 2025
% Result : Unsatisfiable 52.26s 8.09s
% Output : Refutation 52.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT394-2 : TPTP v9.2.0. Released v5.4.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UrEC0IAu3d true
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 14:40:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.49/0.61 % Total configuration time : 435
% 0.49/0.61 % Estimated wc time : 1092
% 0.49/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 52.26/8.09 % Solved by fo/fo7.sh.
% 52.26/8.09 % done 2751 iterations in 7.332s
% 52.26/8.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 52.26/8.09 % SZS output start Refutation
% 52.26/8.09 thf(x0_type, type, x0: $i).
% 52.26/8.09 thf(x1_type, type, x1: $i).
% 52.26/8.09 thf(f_type, type, f: $i > $i > $i).
% 52.26/8.09 thf(sos, axiom,
% 52.26/8.09 (( f @
% 52.26/8.09 ( f @ ( f @ ( f @ A @ B ) @ ( f @ B @ C ) ) @ D ) @
% 52.26/8.09 ( f @ B @ ( f @ ( f @ B @ ( f @ ( f @ A @ A ) @ A ) ) @ C ) ) ) =
% 52.26/8.09 ( B ))).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl5, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ X0 @
% 52.26/8.09 (f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @
% 52.26/8.09 (f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @ (f @ (f @ X3 @ X0) @ (f @ X3 @ X0)) @ (f @ X3 @ X0))) @
% 52.26/8.09 X2)))
% 52.26/8.09 = (f @ X0 @ X1))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl26, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ X2 @ X0) @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X0))
% 52.26/8.09 = (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 52.26/8.09 thf(zip_derived_cl67, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X0) @ (f @ X0 @ X0))
% 52.26/8.09 = (f @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X0) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X2 @ X2) @ X2)) @ X1))))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl26])).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl77, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X0) @ (f @ X0 @ X0))
% 52.26/8.09 = (X0))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl77, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X0) @ (f @ X0 @ X0))
% 52.26/8.09 = (X0))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl110, plain,
% 52.26/8.09 (![X0 : $i]: ((f @ (f @ X0 @ X0) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl77])).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl148, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X0 @ X0) @ X0)) @ X0))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl148, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X0 @ X0) @ X0)) @ X0))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl5, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ X0 @
% 52.26/8.09 (f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @
% 52.26/8.09 (f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @ (f @ (f @ X3 @ X0) @ (f @ X3 @ X0)) @ (f @ X3 @ X0))) @
% 52.26/8.09 X2)))
% 52.26/8.09 = (f @ X0 @ X1))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl440, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X1 @ (f @ (f @ X1 @ X0) @ (f @ X1 @ X0))) = (f @ X1 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl5])).
% 52.26/8.09 thf(zip_derived_cl520, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @
% 52.26/8.09 (f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X0 @ X0) @ X0)) @ X0))) @
% 52.26/8.09 X0))
% 52.26/8.09 = (f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X0 @ X0) @ X0)) @ X0))))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl440])).
% 52.26/8.09 thf(zip_derived_cl148, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X0 @ X0) @ X0)) @ X0))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl148, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X0 @ X0) @ X0)) @ X0))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl544, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X0 @ X1) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl520, zip_derived_cl148, zip_derived_cl148])).
% 52.26/8.09 thf(zip_derived_cl77, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X0) @ (f @ X0 @ X0))
% 52.26/8.09 = (X0))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl26, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ X2 @ X0) @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X0))
% 52.26/8.09 = (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 52.26/8.09 thf(zip_derived_cl97, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @
% 52.26/8.09 (f @ (f @ (f @ (f @ X3 @ X0) @ (f @ X0 @ X2)) @ X0) @ (f @ X0 @ X0)) @
% 52.26/8.09 (f @ (f @ X0 @ (f @ (f @ X0 @ X0) @ X1)) @ (f @ X0 @ X0)))
% 52.26/8.09 = (f @
% 52.26/8.09 (f @ (f @ (f @ (f @ X3 @ X0) @ (f @ X0 @ X2)) @ X0) @
% 52.26/8.09 (f @ X0 @ X0)) @
% 52.26/8.09 (f @ (f @ X0 @ X0) @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl26])).
% 52.26/8.09 thf(zip_derived_cl77, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X0) @ (f @ X0 @ X0))
% 52.26/8.09 = (X0))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl77, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X0) @ (f @ X0 @ X0))
% 52.26/8.09 = (X0))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl121, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X0 @ X0) @ X1)) @ (f @ X0 @ X0)))
% 52.26/8.09 = (f @ X0 @ (f @ (f @ X0 @ X0) @ X1)))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl97, zip_derived_cl77, zip_derived_cl77])).
% 52.26/8.09 thf(zip_derived_cl544, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X0 @ X1) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl520, zip_derived_cl148, zip_derived_cl148])).
% 52.26/8.09 thf(zip_derived_cl575, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ X0) = (f @ X0 @ (f @ (f @ X0 @ X0) @ X1)))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl121, zip_derived_cl544])).
% 52.26/8.09 thf(zip_derived_cl676, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X0 @ X0) @ (f @ X0 @ X0))
% 52.26/8.09 = (f @ (f @ X0 @ X0) @ (f @ X0 @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl575])).
% 52.26/8.09 thf(zip_derived_cl544, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X0 @ X1) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl520, zip_derived_cl148, zip_derived_cl148])).
% 52.26/8.09 thf(zip_derived_cl678, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((X0) = (f @ (f @ X0 @ X0) @ (f @ X0 @ X1)))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl676, zip_derived_cl544])).
% 52.26/8.09 thf(zip_derived_cl544, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X0 @ X1) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl520, zip_derived_cl148, zip_derived_cl148])).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl440, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X1 @ (f @ (f @ X1 @ X0) @ (f @ X1 @ X0))) = (f @ X1 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl5])).
% 52.26/8.09 thf(zip_derived_cl522, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X3) @
% 52.26/8.09 (f @
% 52.26/8.09 (f @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X2 @ X2) @ X2)) @ X1))) @
% 52.26/8.09 X0))
% 52.26/8.09 = (f @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X2 @ X2) @ X2)) @ X1))))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl440])).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl546, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X3) @ (f @ X0 @ X0))
% 52.26/8.09 = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl522, zip_derived_cl0, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl979, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X1 @ X0) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl546])).
% 52.26/8.09 thf(zip_derived_cl544, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X0 @ X1) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl520, zip_derived_cl148, zip_derived_cl148])).
% 52.26/8.09 thf(zip_derived_cl544, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X0 @ X1) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl520, zip_derived_cl148, zip_derived_cl148])).
% 52.26/8.09 thf(zip_derived_cl601, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ X0 @ X0) @ X1) @ X0) = (f @ X0 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl544])).
% 52.26/8.09 thf(zip_derived_cl546, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X3) @ (f @ X0 @ X0))
% 52.26/8.09 = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl522, zip_derived_cl0, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl982, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X1 @ X0)) @ X2) @ (f @ X1 @ X1))
% 52.26/8.09 = (X1))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl546])).
% 52.26/8.09 thf(zip_derived_cl1819, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X0)) @ X0) @ X2) @
% 52.26/8.09 (f @ (f @ X1 @ X0) @ (f @ X1 @ X0))) = (f @ X1 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl979, zip_derived_cl982])).
% 52.26/8.09 thf(zip_derived_cl979, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X1 @ X0) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl546])).
% 52.26/8.09 thf(zip_derived_cl1858, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ X0 @ X0) @ X2) @ (f @ (f @ X1 @ X0) @ (f @ X1 @ X0)))
% 52.26/8.09 = (f @ X1 @ X0))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl1819, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl979, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X1 @ X0) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl546])).
% 52.26/8.09 thf(zip_derived_cl544, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X0 @ X1) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl520, zip_derived_cl148, zip_derived_cl148])).
% 52.26/8.09 thf(zip_derived_cl678, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((X0) = (f @ (f @ X0 @ X0) @ (f @ X0 @ X1)))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl676, zip_derived_cl544])).
% 52.26/8.09 thf(zip_derived_cl735, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ X1) = (f @ (f @ (f @ X0 @ X1) @ (f @ X0 @ X1)) @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl1048, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X1 @ X0) @ (f @ X0 @ X0))
% 52.26/8.09 = (f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X0)) @ X0) @
% 52.26/8.09 (f @ X1 @ X0)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl979, zip_derived_cl735])).
% 52.26/8.09 thf(zip_derived_cl979, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X1 @ X0) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl546])).
% 52.26/8.09 thf(zip_derived_cl979, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X1 @ X0) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl546])).
% 52.26/8.09 thf(zip_derived_cl1100, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((X0) = (f @ (f @ X0 @ X0) @ (f @ X1 @ X0)))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl1048, zip_derived_cl979, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl26, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ X2 @ X0) @ (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X0))
% 52.26/8.09 = (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 52.26/8.09 thf(zip_derived_cl1181, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ X0 @ X0) @ (f @ X2 @ X0)) @
% 52.26/8.09 (f @ (f @ X0 @ (f @ (f @ X2 @ X0) @ X1)) @ (f @ X2 @ X0)))
% 52.26/8.09 = (f @ (f @ (f @ X0 @ X0) @ (f @ X2 @ X0)) @
% 52.26/8.09 (f @ (f @ X2 @ X0) @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl1100, zip_derived_cl26])).
% 52.26/8.09 thf(zip_derived_cl1100, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((X0) = (f @ (f @ X0 @ X0) @ (f @ X1 @ X0)))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl1048, zip_derived_cl979, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl1100, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((X0) = (f @ (f @ X0 @ X0) @ (f @ X1 @ X0)))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl1048, zip_derived_cl979, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl1245, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X2 @ X0) @ X1)) @ (f @ X2 @ X0)))
% 52.26/8.09 = (f @ X0 @ (f @ (f @ X2 @ X0) @ X1)))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl1181, zip_derived_cl1100, zip_derived_cl1100])).
% 52.26/8.09 thf(zip_derived_cl5898, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ X2 @ (f @ (f @ X2 @ (f @ X1 @ X0)) @ (f @ (f @ X0 @ X0) @ X2)))
% 52.26/8.09 = (f @ X2 @
% 52.26/8.09 (f @ (f @ (f @ X0 @ X0) @ X2) @
% 52.26/8.09 (f @ (f @ X1 @ X0) @ (f @ X1 @ X0)))))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl1858, zip_derived_cl1245])).
% 52.26/8.09 thf(zip_derived_cl1858, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ X0 @ X0) @ X2) @ (f @ (f @ X1 @ X0) @ (f @ X1 @ X0)))
% 52.26/8.09 = (f @ X1 @ X0))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl1819, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl6181, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ X2 @ (f @ (f @ X2 @ (f @ X1 @ X0)) @ (f @ (f @ X0 @ X0) @ X2)))
% 52.26/8.09 = (f @ X2 @ (f @ X1 @ X0)))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl5898, zip_derived_cl1858])).
% 52.26/8.09 thf(zip_derived_cl12185, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ X2 @ (f @ (f @ X2 @ (f @ X1 @ (f @ X0 @ X0))) @ (f @ X0 @ X2)))
% 52.26/8.09 = (f @ X2 @ (f @ X1 @ (f @ X0 @ X0))))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl678, zip_derived_cl6181])).
% 52.26/8.09 thf(zip_derived_cl5, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ X0 @
% 52.26/8.09 (f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @
% 52.26/8.09 (f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @ (f @ (f @ X3 @ X0) @ (f @ X3 @ X0)) @ (f @ X3 @ X0))) @
% 52.26/8.09 X2)))
% 52.26/8.09 = (f @ X0 @ X1))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl15478, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @
% 52.26/8.09 (f @ (f @ X0 @ X1) @
% 52.26/8.09 (f @ (f @ (f @ X0 @ X0) @ (f @ X0 @ X0)) @ (f @ X0 @ X0))))
% 52.26/8.09 = (f @ X0 @ X1))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl12185, zip_derived_cl5])).
% 52.26/8.09 thf(zip_derived_cl678, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((X0) = (f @ (f @ X0 @ X0) @ (f @ X0 @ X1)))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl676, zip_derived_cl544])).
% 52.26/8.09 thf(zip_derived_cl15868, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ (f @ (f @ X0 @ X1) @ (f @ X0 @ (f @ X0 @ X0))))
% 52.26/8.09 = (f @ X0 @ X1))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl15478, zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl15965, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @
% 52.26/8.09 (f @ (f @ (f @ X0 @ X1) @ (f @ X1 @ (f @ X1 @ (f @ X1 @ X1)))) @ X2) @
% 52.26/8.09 (f @ X1 @ (f @ (f @ X0 @ X0) @ X0))) = (X1))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl15868, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl979, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X1 @ X0) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl546])).
% 52.26/8.09 thf(zip_derived_cl979, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X1 @ X0) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl546])).
% 52.26/8.09 thf(zip_derived_cl1058, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X1 @ (f @ X0 @ X0)) @ X0) = (f @ X0 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl979, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl735, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ X1) = (f @ (f @ (f @ X0 @ X1) @ (f @ X0 @ X1)) @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl1122, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X1 @ (f @ X0 @ X0)) @ X0)
% 52.26/8.09 = (f @ (f @ (f @ (f @ X1 @ (f @ X0 @ X0)) @ X0) @ (f @ X0 @ X0)) @
% 52.26/8.09 (f @ X1 @ (f @ X0 @ X0))))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl1058, zip_derived_cl735])).
% 52.26/8.09 thf(zip_derived_cl1058, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X1 @ (f @ X0 @ X0)) @ X0) = (f @ X0 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl979, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl1058, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X1 @ (f @ X0 @ X0)) @ X0) = (f @ X0 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl979, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl678, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((X0) = (f @ (f @ X0 @ X0) @ (f @ X0 @ X1)))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl676, zip_derived_cl544])).
% 52.26/8.09 thf(zip_derived_cl1165, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ X0) = (f @ X0 @ (f @ X1 @ (f @ X0 @ X0))))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl1122, zip_derived_cl1058, zip_derived_cl1058,
% 52.26/8.09 zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl979, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X1 @ X0) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl546])).
% 52.26/8.09 thf(zip_derived_cl16201, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ X1 @ X2) @ (f @ X1 @ (f @ (f @ X0 @ X0) @ X0))) = (X1))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl15965, zip_derived_cl1165, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl1165, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ X0) = (f @ X0 @ (f @ X1 @ (f @ X0 @ X0))))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl1122, zip_derived_cl1058, zip_derived_cl1058,
% 52.26/8.09 zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl16672, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)))
% 52.26/8.09 = (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ (f @ X2 @ X0)))),
% 52.26/8.09 inference('sup+', [status(thm)],
% 52.26/8.09 [zip_derived_cl16201, zip_derived_cl1165])).
% 52.26/8.09 thf(zip_derived_cl16201, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ X1 @ X2) @ (f @ X1 @ (f @ (f @ X0 @ X0) @ X0))) = (X1))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl15965, zip_derived_cl1165, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl16956, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((X0) = (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ (f @ X2 @ X0)))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl16672, zip_derived_cl16201])).
% 52.26/8.09 thf(zip_derived_cl678, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((X0) = (f @ (f @ X0 @ X0) @ (f @ X0 @ X1)))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl676, zip_derived_cl544])).
% 52.26/8.09 thf(zip_derived_cl16201, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ X1 @ X2) @ (f @ X1 @ (f @ (f @ X0 @ X0) @ X0))) = (X1))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl15965, zip_derived_cl1165, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl440, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X1 @ (f @ (f @ X1 @ X0) @ (f @ X1 @ X0))) = (f @ X1 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl5])).
% 52.26/8.09 thf(zip_derived_cl16745, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ X0) = (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl16201, zip_derived_cl440])).
% 52.26/8.09 thf(zip_derived_cl678, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((X0) = (f @ (f @ X0 @ X0) @ (f @ X0 @ X1)))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl676, zip_derived_cl544])).
% 52.26/8.09 thf(zip_derived_cl17402, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((X1) = (f @ (f @ X1 @ X1) @ (f @ (f @ X0 @ X0) @ X0)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl16745, zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl979, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X1 @ X0) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl546])).
% 52.26/8.09 thf(zip_derived_cl544, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((f @ (f @ X0 @ X1) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl520, zip_derived_cl148, zip_derived_cl148])).
% 52.26/8.09 thf(zip_derived_cl1045, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ (f @ (f @ X1 @ X0) @ (f @ X1 @ X0))) = (f @ X1 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl979, zip_derived_cl544])).
% 52.26/8.09 thf(zip_derived_cl17731, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ X1 @ X1) @ X1) @
% 52.26/8.09 (f @ (f @ (f @ X0 @ X0) @ (f @ (f @ X1 @ X1) @ X1)) @ X0))
% 52.26/8.09 = (f @ (f @ X0 @ X0) @ (f @ (f @ X1 @ X1) @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)],
% 52.26/8.09 [zip_derived_cl17402, zip_derived_cl1045])).
% 52.26/8.09 thf(zip_derived_cl17402, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((X1) = (f @ (f @ X1 @ X1) @ (f @ (f @ X0 @ X0) @ X0)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl16745, zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl17402, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((X1) = (f @ (f @ X1 @ X1) @ (f @ (f @ X0 @ X0) @ X0)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl16745, zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl17943, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ X1 @ X1) @ X1) @ (f @ X0 @ X0)) = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl17731, zip_derived_cl17402, zip_derived_cl17402])).
% 52.26/8.09 thf(zip_derived_cl18586, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ X1 @ X1) @ X1) @ X0) = (f @ X0 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl678, zip_derived_cl17943])).
% 52.26/8.09 thf(zip_derived_cl17402, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((X1) = (f @ (f @ X1 @ X1) @ (f @ (f @ X0 @ X0) @ X0)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl16745, zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl20298, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X0 @ X0) @ X0)
% 52.26/8.09 = (f @ (f @ (f @ (f @ X0 @ X0) @ X0) @ (f @ (f @ X0 @ X0) @ X0)) @
% 52.26/8.09 (f @ (f @ X1 @ X1) @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)],
% 52.26/8.09 [zip_derived_cl18586, zip_derived_cl17402])).
% 52.26/8.09 thf(zip_derived_cl678, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((X0) = (f @ (f @ X0 @ X0) @ (f @ X0 @ X1)))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl676, zip_derived_cl544])).
% 52.26/8.09 thf(zip_derived_cl1165, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ X0) = (f @ X0 @ (f @ X1 @ (f @ X0 @ X0))))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl1122, zip_derived_cl1058, zip_derived_cl1058,
% 52.26/8.09 zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl1045, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ (f @ (f @ X1 @ X0) @ (f @ X1 @ X0))) = (f @ X1 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl979, zip_derived_cl544])).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl735, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ X1) = (f @ (f @ (f @ X0 @ X1) @ (f @ X0 @ X1)) @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl872, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X3 @ X0) @ (f @ X0 @ X2)) @ X1) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X3 @ X3) @ X3)) @ X2)))
% 52.26/8.09 = (f @
% 52.26/8.09 (f @
% 52.26/8.09 (f @ (f @ (f @ (f @ X3 @ X0) @ (f @ X0 @ X2)) @ X1) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X3 @ X3) @ X3)) @ X2))) @
% 52.26/8.09 X0) @
% 52.26/8.09 (f @ (f @ (f @ X3 @ X0) @ (f @ X0 @ X2)) @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl735])).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl0, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 52.26/8.09 X0))),
% 52.26/8.09 inference('cnf', [status(esa)], [sos])).
% 52.26/8.09 thf(zip_derived_cl894, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((X0)
% 52.26/8.09 = (f @ (f @ X0 @ X0) @
% 52.26/8.09 (f @ (f @ (f @ X3 @ X0) @ (f @ X0 @ X2)) @ X1)))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl872, zip_derived_cl0, zip_derived_cl0])).
% 52.26/8.09 thf(zip_derived_cl1633, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 52.26/8.09 ((X1)
% 52.26/8.09 = (f @ (f @ X1 @ X1) @
% 52.26/8.09 (f @ X3 @ (f @ (f @ X2 @ X1) @ (f @ X1 @ X0)))))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl1045, zip_derived_cl894])).
% 52.26/8.09 thf(zip_derived_cl3637, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((X0)
% 52.26/8.09 = (f @ (f @ X0 @ X0) @
% 52.26/8.09 (f @ X2 @ (f @ (f @ X1 @ X0) @ (f @ X1 @ X0)))))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl1165, zip_derived_cl1633])).
% 52.26/8.09 thf(zip_derived_cl6765, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ X0 @ X1)
% 52.26/8.09 = (f @ (f @ (f @ X0 @ X1) @ (f @ X0 @ X1)) @
% 52.26/8.09 (f @ X2 @ (f @ (f @ (f @ X0 @ X0) @ (f @ X0 @ X1)) @ X0))))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl678, zip_derived_cl3637])).
% 52.26/8.09 thf(zip_derived_cl678, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]: ((X0) = (f @ (f @ X0 @ X0) @ (f @ X0 @ X1)))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl676, zip_derived_cl544])).
% 52.26/8.09 thf(zip_derived_cl6843, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ X0 @ X1)
% 52.26/8.09 = (f @ (f @ (f @ X0 @ X1) @ (f @ X0 @ X1)) @
% 52.26/8.09 (f @ X2 @ (f @ X0 @ X0))))),
% 52.26/8.09 inference('demod', [status(thm)], [zip_derived_cl6765, zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl16745, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ X0) = (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl16201, zip_derived_cl440])).
% 52.26/8.09 thf(zip_derived_cl17446, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X1 @ X1) = (f @ X1 @ (f @ X0 @ (f @ X0 @ X0))))),
% 52.26/8.09 inference('sup+', [status(thm)],
% 52.26/8.09 [zip_derived_cl6843, zip_derived_cl16745])).
% 52.26/8.09 thf(zip_derived_cl18586, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ (f @ X1 @ X1) @ X1) @ X0) = (f @ X0 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl678, zip_derived_cl17943])).
% 52.26/8.09 thf(zip_derived_cl17402, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((X1) = (f @ (f @ X1 @ X1) @ (f @ (f @ X0 @ X0) @ X0)))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl16745, zip_derived_cl678])).
% 52.26/8.09 thf(zip_derived_cl20657, plain,
% 52.26/8.09 (![X0 : $i]: ((f @ (f @ X0 @ X0) @ X0) = (f @ X0 @ (f @ X0 @ X0)))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl20298, zip_derived_cl17446,
% 52.26/8.09 zip_derived_cl18586, zip_derived_cl17402])).
% 52.26/8.09 thf(zip_derived_cl23157, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((X0) = (f @ (f @ X0 @ (f @ X1 @ (f @ X1 @ X1))) @ (f @ X2 @ X0)))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl16956, zip_derived_cl20657])).
% 52.26/8.09 thf(zip_derived_cl16201, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ X1 @ X2) @ (f @ X1 @ (f @ (f @ X0 @ X0) @ X0))) = (X1))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl15965, zip_derived_cl1165, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl1058, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ (f @ X1 @ (f @ X0 @ X0)) @ X0) = (f @ X0 @ X0))),
% 52.26/8.09 inference('sup+', [status(thm)], [zip_derived_cl979, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl16670, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ X2 @ X0) @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)))
% 52.26/8.09 = (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @
% 52.26/8.09 (f @ X0 @ (f @ (f @ X1 @ X1) @ X1))))),
% 52.26/8.09 inference('sup+', [status(thm)],
% 52.26/8.09 [zip_derived_cl16201, zip_derived_cl1058])).
% 52.26/8.09 thf(zip_derived_cl16201, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ X1 @ X2) @ (f @ X1 @ (f @ (f @ X0 @ X0) @ X0))) = (X1))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl15965, zip_derived_cl1165, zip_derived_cl979])).
% 52.26/8.09 thf(zip_derived_cl16955, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ X2 @ X0) @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1))) = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl16670, zip_derived_cl16201])).
% 52.26/8.09 thf(zip_derived_cl20657, plain,
% 52.26/8.09 (![X0 : $i]: ((f @ (f @ X0 @ X0) @ X0) = (f @ X0 @ (f @ X0 @ X0)))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl20298, zip_derived_cl17446,
% 52.26/8.09 zip_derived_cl18586, zip_derived_cl17402])).
% 52.26/8.09 thf(zip_derived_cl22661, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 52.26/8.09 ((f @ (f @ X2 @ X0) @ (f @ X0 @ (f @ X1 @ (f @ X1 @ X1)))) = (X0))),
% 52.26/8.09 inference('demod', [status(thm)],
% 52.26/8.09 [zip_derived_cl16955, zip_derived_cl20657])).
% 52.26/8.09 thf(zip_derived_cl23395, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ (f @ X0 @ X0)) = (f @ X1 @ (f @ X1 @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)],
% 52.26/8.09 [zip_derived_cl23157, zip_derived_cl22661])).
% 52.26/8.09 thf(goals, conjecture,
% 52.26/8.09 (( f @ x0 @ ( f @ x0 @ x0 ) ) = ( f @ x1 @ ( f @ x1 @ x1 ) ))).
% 52.26/8.09 thf(zf_stmt_0, negated_conjecture,
% 52.26/8.09 (( f @ x0 @ ( f @ x0 @ x0 ) ) != ( f @ x1 @ ( f @ x1 @ x1 ) )),
% 52.26/8.09 inference('cnf.neg', [status(esa)], [goals])).
% 52.26/8.09 thf(zip_derived_cl1, plain,
% 52.26/8.09 (((f @ x0 @ (f @ x0 @ x0)) != (f @ x1 @ (f @ x1 @ x1)))),
% 52.26/8.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 52.26/8.09 thf(zip_derived_cl23845, plain,
% 52.26/8.09 (![X0 : $i]: ((f @ x0 @ (f @ x0 @ x0)) != (f @ X0 @ (f @ X0 @ X0)))),
% 52.26/8.09 inference('sup-', [status(thm)], [zip_derived_cl23395, zip_derived_cl1])).
% 52.26/8.09 thf(zip_derived_cl23395, plain,
% 52.26/8.09 (![X0 : $i, X1 : $i]:
% 52.26/8.09 ((f @ X0 @ (f @ X0 @ X0)) = (f @ X1 @ (f @ X1 @ X1)))),
% 52.26/8.09 inference('sup+', [status(thm)],
% 52.26/8.09 [zip_derived_cl23157, zip_derived_cl22661])).
% 52.26/8.09 thf(zip_derived_cl24109, plain, ($false),
% 52.26/8.09 inference('simplify_reflect+', [status(thm)],
% 52.26/8.09 [zip_derived_cl23845, zip_derived_cl23395])).
% 52.26/8.09
% 52.26/8.09 % SZS output end Refutation
% 52.26/8.09
% 52.26/8.09
% 52.26/8.09 % Terminating...
% 52.26/8.15 % Runner terminated.
% 52.26/8.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------