TSTP Solution File: LAT394-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT394-1 : TPTP v8.1.2. Released v5.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.46SyDGgmIE true
% Computer : n008.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 Aug 31 06:47:34 EDT 2023
% Result : Unsatisfiable 58.43s 8.99s
% Output : Refutation 58.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT394-1 : TPTP v8.1.2. Released v5.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.46SyDGgmIE true
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 04:27:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 58.43/8.99 % Solved by fo/fo3_bce.sh.
% 58.43/8.99 % BCE start: 5
% 58.43/8.99 % BCE eliminated: 0
% 58.43/8.99 % PE start: 5
% 58.43/8.99 logic: eq
% 58.43/8.99 % PE eliminated: 0
% 58.43/8.99 % done 179 iterations in 8.271s
% 58.43/8.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 58.43/8.99 % SZS output start Refutation
% 58.43/8.99 thf(x1_type, type, x1: $i).
% 58.43/8.99 thf(neg_type, type, neg: $i > $i).
% 58.43/8.99 thf(f_type, type, f: $i > $i > $i).
% 58.43/8.99 thf(x0_type, type, x0: $i).
% 58.43/8.99 thf(sos_003, axiom, (( neg @ A ) = ( f @ A @ A ))).
% 58.43/8.99 thf(zip_derived_cl3, plain, (![X0 : $i]: ((neg @ X0) = (f @ X0 @ X0))),
% 58.43/8.99 inference('cnf', [status(esa)], [sos_003])).
% 58.43/8.99 thf(sos, axiom,
% 58.43/8.99 (( f @
% 58.43/8.99 ( f @ ( f @ ( f @ A @ B ) @ ( f @ B @ C ) ) @ D ) @
% 58.43/8.99 ( f @ B @ ( f @ ( f @ B @ ( f @ ( f @ A @ A ) @ A ) ) @ C ) ) ) =
% 58.43/8.99 ( B ))).
% 58.43/8.99 thf(zip_derived_cl0, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (f @ X1 @ X1) @ X1)) @ X2))) = (
% 58.43/8.99 X0))),
% 58.43/8.99 inference('cnf', [status(esa)], [sos])).
% 58.43/8.99 thf(zip_derived_cl3, plain, (![X0 : $i]: ((neg @ X0) = (f @ X0 @ X0))),
% 58.43/8.99 inference('cnf', [status(esa)], [sos_003])).
% 58.43/8.99 thf(zip_derived_cl8, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X1) @ X1)) @ X2))) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl21, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (neg @ X0)) @ X2) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X1) @ X1)) @ X0))) = (X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 58.43/8.99 thf(zip_derived_cl8, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X1) @ X1)) @ X2))) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl8, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X1) @ X1)) @ X2))) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl8, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X1) @ X1)) @ X2))) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl11, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 58.43/8.99 ((f @
% 58.43/8.99 (f @
% 58.43/8.99 (f @ (f @ X3 @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1))) @
% 58.43/8.99 (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X2) @ X2)) @ X1)))) @
% 58.43/8.99 X4) @
% 58.43/8.99 (f @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)) @ X0))
% 58.43/8.99 = (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 58.43/8.99 thf(zip_derived_cl980, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 58.43/8.99 ((f @ (f @ X1 @ X0) @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X0))
% 58.43/8.99 = (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl11])).
% 58.43/8.99 thf(zip_derived_cl1281, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (neg @ X0)) @ X0) @ (f @ X0 @ X0))
% 58.43/8.99 = (f @ (f @ (f @ (f @ X1 @ X0) @ (neg @ X0)) @ X0) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X1) @ X1)) @ X0))))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl980])).
% 58.43/8.99 thf(zip_derived_cl3, plain, (![X0 : $i]: ((neg @ X0) = (f @ X0 @ X0))),
% 58.43/8.99 inference('cnf', [status(esa)], [sos_003])).
% 58.43/8.99 thf(zip_derived_cl21, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (neg @ X0)) @ X2) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X1) @ X1)) @ X0))) = (X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 58.43/8.99 thf(zip_derived_cl1337, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (neg @ X0)) @ X0) @ (neg @ X0)) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl1281, zip_derived_cl3, zip_derived_cl21])).
% 58.43/8.99 thf(zip_derived_cl1337, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (neg @ X0)) @ X0) @ (neg @ X0)) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl1281, zip_derived_cl3, zip_derived_cl21])).
% 58.43/8.99 thf(zip_derived_cl1514, plain,
% 58.43/8.99 (![X0 : $i]: ((f @ (f @ X0 @ X0) @ (neg @ X0)) = (X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl1337, zip_derived_cl1337])).
% 58.43/8.99 thf(zip_derived_cl3, plain, (![X0 : $i]: ((neg @ X0) = (f @ X0 @ X0))),
% 58.43/8.99 inference('cnf', [status(esa)], [sos_003])).
% 58.43/8.99 thf(zip_derived_cl3, plain, (![X0 : $i]: ((neg @ X0) = (f @ X0 @ X0))),
% 58.43/8.99 inference('cnf', [status(esa)], [sos_003])).
% 58.43/8.99 thf(zip_derived_cl1534, plain, (![X0 : $i]: ((neg @ (neg @ X0)) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl1514, zip_derived_cl3, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl8, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X1) @ X1)) @ X2))) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl8, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X1) @ X1)) @ X2))) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl13, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ X0 @ X3) @
% 58.43/8.99 (f @ X0 @
% 58.43/8.99 (f @
% 58.43/8.99 (f @ X0 @
% 58.43/8.99 (f @ (neg @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1))) @
% 58.43/8.99 (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)))) @
% 58.43/8.99 (f @ (f @ X0 @ (f @ (neg @ X2) @ X2)) @ X1))))
% 58.43/8.99 = (X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 58.43/8.99 thf(zip_derived_cl3, plain, (![X0 : $i]: ((neg @ X0) = (f @ X0 @ X0))),
% 58.43/8.99 inference('cnf', [status(esa)], [sos_003])).
% 58.43/8.99 thf(zip_derived_cl8, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X1) @ X1)) @ X2))) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl14, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 58.43/8.99 ((f @
% 58.43/8.99 (f @
% 58.43/8.99 (f @ (f @ X0 @ X1) @ (f @ X1 @ (f @ X1 @ (f @ (neg @ X0) @ X0)))) @
% 58.43/8.99 X2) @
% 58.43/8.99 (f @ X1 @ (neg @ (f @ X1 @ (f @ (neg @ X0) @ X0))))) = (X1))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 58.43/8.99 thf(zip_derived_cl13, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ X0 @ X3) @
% 58.43/8.99 (f @ X0 @
% 58.43/8.99 (f @
% 58.43/8.99 (f @ X0 @
% 58.43/8.99 (f @ (neg @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1))) @
% 58.43/8.99 (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)))) @
% 58.43/8.99 (f @ (f @ X0 @ (f @ (neg @ X2) @ X2)) @ X1))))
% 58.43/8.99 = (X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 58.43/8.99 thf(zip_derived_cl8, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X1) @ X1)) @ X2))) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl8, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ (f @ (f @ X1 @ X0) @ (f @ X0 @ X2)) @ X3) @
% 58.43/8.99 (f @ X0 @ (f @ (f @ X0 @ (f @ (neg @ X1) @ X1)) @ X2))) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl12, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ X0 @
% 58.43/8.99 (f @ (f @ X0 @ X1) @
% 58.43/8.99 (f @
% 58.43/8.99 (f @ (f @ X0 @ X1) @ (f @ (neg @ (f @ X3 @ X0)) @ (f @ X3 @ X0))) @
% 58.43/8.99 X2)))
% 58.43/8.99 = (f @ X0 @ X1))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 58.43/8.99 thf(zip_derived_cl2278, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]:
% 58.43/8.99 ((f @ X1 @ (f @ (f @ X1 @ X0) @ (f @ X1 @ X0))) = (f @ X1 @ X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl12])).
% 58.43/8.99 thf(zip_derived_cl3, plain, (![X0 : $i]: ((neg @ X0) = (f @ X0 @ X0))),
% 58.43/8.99 inference('cnf', [status(esa)], [sos_003])).
% 58.43/8.99 thf(zip_derived_cl2551, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((f @ X1 @ (neg @ (f @ X1 @ X0))) = (f @ X1 @ X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl2278, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl3146, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 58.43/8.99 ((f @
% 58.43/8.99 (f @
% 58.43/8.99 (f @ (f @ X0 @ X1) @ (f @ X1 @ (f @ X1 @ (f @ (neg @ X0) @ X0)))) @
% 58.43/8.99 X2) @
% 58.43/8.99 (f @ X1 @ (f @ (neg @ X0) @ X0))) = (X1))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl2551])).
% 58.43/8.99 thf(zip_derived_cl3248, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]:
% 58.43/8.99 ((f @ (f @ X1 @ X0) @ (f @ X0 @ (f @ (neg @ X1) @ X1))) = (X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl3146])).
% 58.43/8.99 thf(zip_derived_cl2551, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((f @ X1 @ (neg @ (f @ X1 @ X0))) = (f @ X1 @ X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl2278, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl3827, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]:
% 58.43/8.99 ((f @ (f @ X1 @ X0) @ (neg @ X0))
% 58.43/8.99 = (f @ (f @ X1 @ X0) @ (f @ X0 @ (f @ (neg @ X1) @ X1))))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl3248, zip_derived_cl2551])).
% 58.43/8.99 thf(zip_derived_cl3248, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]:
% 58.43/8.99 ((f @ (f @ X1 @ X0) @ (f @ X0 @ (f @ (neg @ X1) @ X1))) = (X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl3146])).
% 58.43/8.99 thf(zip_derived_cl3967, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((f @ (f @ X1 @ X0) @ (neg @ X0)) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl3827, zip_derived_cl3248])).
% 58.43/8.99 thf(zip_derived_cl4087, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((f @ (f @ X1 @ (neg @ X0)) @ X0) = (neg @ X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl1534, zip_derived_cl3967])).
% 58.43/8.99 thf(zip_derived_cl3146, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 58.43/8.99 ((f @
% 58.43/8.99 (f @
% 58.43/8.99 (f @ (f @ X0 @ X1) @ (f @ X1 @ (f @ X1 @ (f @ (neg @ X0) @ X0)))) @
% 58.43/8.99 X2) @
% 58.43/8.99 (f @ X1 @ (f @ (neg @ X0) @ X0))) = (X1))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl2551])).
% 58.43/8.99 thf(zip_derived_cl4358, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((neg @ (f @ X1 @ (f @ (neg @ X0) @ X0))) = (X1))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl4087, zip_derived_cl3146])).
% 58.43/8.99 thf(zip_derived_cl1534, plain, (![X0 : $i]: ((neg @ (neg @ X0)) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl1514, zip_derived_cl3, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl8377, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((neg @ X0) = (f @ X0 @ (f @ (neg @ X1) @ X1)))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl4358, zip_derived_cl1534])).
% 58.43/8.99 thf(zip_derived_cl3248, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]:
% 58.43/8.99 ((f @ (f @ X1 @ X0) @ (f @ X0 @ (f @ (neg @ X1) @ X1))) = (X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl3146])).
% 58.43/8.99 thf(zip_derived_cl13, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ X0 @ X3) @
% 58.43/8.99 (f @ X0 @
% 58.43/8.99 (f @
% 58.43/8.99 (f @ X0 @
% 58.43/8.99 (f @ (neg @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1))) @
% 58.43/8.99 (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)))) @
% 58.43/8.99 (f @ (f @ X0 @ (f @ (neg @ X2) @ X2)) @ X1))))
% 58.43/8.99 = (X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 58.43/8.99 thf(zip_derived_cl2551, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((f @ X1 @ (neg @ (f @ X1 @ X0))) = (f @ X1 @ X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl2278, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl2634, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ X0 @ X3) @ (neg @ X0))
% 58.43/8.99 = (f @ (f @ X0 @ X3) @
% 58.43/8.99 (f @ X0 @
% 58.43/8.99 (f @
% 58.43/8.99 (f @ X0 @
% 58.43/8.99 (f @ (neg @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1))) @
% 58.43/8.99 (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)))) @
% 58.43/8.99 (f @ (f @ X0 @ (f @ (neg @ X2) @ X2)) @ X1)))))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl2551])).
% 58.43/8.99 thf(zip_derived_cl13, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 58.43/8.99 ((f @ (f @ X0 @ X3) @
% 58.43/8.99 (f @ X0 @
% 58.43/8.99 (f @
% 58.43/8.99 (f @ X0 @
% 58.43/8.99 (f @ (neg @ (f @ (f @ X2 @ X0) @ (f @ X0 @ X1))) @
% 58.43/8.99 (f @ (f @ X2 @ X0) @ (f @ X0 @ X1)))) @
% 58.43/8.99 (f @ (f @ X0 @ (f @ (neg @ X2) @ X2)) @ X1))))
% 58.43/8.99 = (X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl8])).
% 58.43/8.99 thf(zip_derived_cl2653, plain,
% 58.43/8.99 (![X0 : $i, X3 : $i]: ((f @ (f @ X0 @ X3) @ (neg @ X0)) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)], [zip_derived_cl2634, zip_derived_cl13])).
% 58.43/8.99 thf(zip_derived_cl3860, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((f @ X0 @ (neg @ (f @ X1 @ X0))) = (f @ X1 @ X0))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl3248, zip_derived_cl2653])).
% 58.43/8.99 thf(zip_derived_cl8505, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]:
% 58.43/8.99 ((f @ (f @ (neg @ X1) @ X1) @ (neg @ (neg @ X0)))
% 58.43/8.99 = (f @ X0 @ (f @ (neg @ X1) @ X1)))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl8377, zip_derived_cl3860])).
% 58.43/8.99 thf(zip_derived_cl1534, plain, (![X0 : $i]: ((neg @ (neg @ X0)) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl1514, zip_derived_cl3, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl8377, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((neg @ X0) = (f @ X0 @ (f @ (neg @ X1) @ X1)))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl4358, zip_derived_cl1534])).
% 58.43/8.99 thf(zip_derived_cl8534, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((f @ (f @ (neg @ X1) @ X1) @ X0) = (neg @ X0))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl8505, zip_derived_cl1534, zip_derived_cl8377])).
% 58.43/8.99 thf(zip_derived_cl1534, plain, (![X0 : $i]: ((neg @ (neg @ X0)) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl1514, zip_derived_cl3, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl8377, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((neg @ X0) = (f @ X0 @ (f @ (neg @ X1) @ X1)))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl4358, zip_derived_cl1534])).
% 58.43/8.99 thf(zip_derived_cl8528, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((neg @ X1) = (f @ X1 @ (f @ X0 @ (neg @ X0))))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl1534, zip_derived_cl8377])).
% 58.43/8.99 thf(zip_derived_cl8856, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]:
% 58.43/8.99 ((neg @ (f @ (neg @ X1) @ X1)) = (neg @ (f @ X0 @ (neg @ X0))))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl8534, zip_derived_cl8528])).
% 58.43/8.99 thf(zip_derived_cl1534, plain, (![X0 : $i]: ((neg @ (neg @ X0)) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl1514, zip_derived_cl3, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl8970, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]:
% 58.43/8.99 ((neg @ (neg @ (f @ (neg @ X0) @ X0))) = (f @ X1 @ (neg @ X1)))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl8856, zip_derived_cl1534])).
% 58.43/8.99 thf(zip_derived_cl8856, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]:
% 58.43/8.99 ((neg @ (f @ (neg @ X1) @ X1)) = (neg @ (f @ X0 @ (neg @ X0))))),
% 58.43/8.99 inference('sup+', [status(thm)], [zip_derived_cl8534, zip_derived_cl8528])).
% 58.43/8.99 thf(zip_derived_cl1534, plain, (![X0 : $i]: ((neg @ (neg @ X0)) = (X0))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl1514, zip_derived_cl3, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl9044, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((f @ X0 @ (neg @ X0)) = (f @ X1 @ (neg @ X1)))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl8970, zip_derived_cl8856, zip_derived_cl1534])).
% 58.43/8.99 thf(goals, conjecture,
% 58.43/8.99 (( f @ x0 @ ( f @ x0 @ x0 ) ) = ( f @ x1 @ ( f @ x1 @ x1 ) ))).
% 58.43/8.99 thf(zf_stmt_0, negated_conjecture,
% 58.43/8.99 (( f @ x0 @ ( f @ x0 @ x0 ) ) != ( f @ x1 @ ( f @ x1 @ x1 ) )),
% 58.43/8.99 inference('cnf.neg', [status(esa)], [goals])).
% 58.43/8.99 thf(zip_derived_cl4, plain,
% 58.43/8.99 (((f @ x0 @ (f @ x0 @ x0)) != (f @ x1 @ (f @ x1 @ x1)))),
% 58.43/8.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 58.43/8.99 thf(zip_derived_cl3, plain, (![X0 : $i]: ((neg @ X0) = (f @ X0 @ X0))),
% 58.43/8.99 inference('cnf', [status(esa)], [sos_003])).
% 58.43/8.99 thf(zip_derived_cl3, plain, (![X0 : $i]: ((neg @ X0) = (f @ X0 @ X0))),
% 58.43/8.99 inference('cnf', [status(esa)], [sos_003])).
% 58.43/8.99 thf(zip_derived_cl5, plain,
% 58.43/8.99 (((f @ x0 @ (neg @ x0)) != (f @ x1 @ (neg @ x1)))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl4, zip_derived_cl3, zip_derived_cl3])).
% 58.43/8.99 thf(zip_derived_cl9097, plain,
% 58.43/8.99 (![X0 : $i]: ((f @ x0 @ (neg @ x0)) != (f @ X0 @ (neg @ X0)))),
% 58.43/8.99 inference('sup-', [status(thm)], [zip_derived_cl9044, zip_derived_cl5])).
% 58.43/8.99 thf(zip_derived_cl9044, plain,
% 58.43/8.99 (![X0 : $i, X1 : $i]: ((f @ X0 @ (neg @ X0)) = (f @ X1 @ (neg @ X1)))),
% 58.43/8.99 inference('demod', [status(thm)],
% 58.43/8.99 [zip_derived_cl8970, zip_derived_cl8856, zip_derived_cl1534])).
% 58.43/8.99 thf(zip_derived_cl9142, plain, ($false),
% 58.43/8.99 inference('simplify_reflect+', [status(thm)],
% 58.43/8.99 [zip_derived_cl9097, zip_derived_cl9044])).
% 58.43/8.99
% 58.43/8.99 % SZS output end Refutation
% 58.43/8.99
% 58.43/8.99
% 58.43/8.99 % Terminating...
% 58.43/9.07 % Runner terminated.
% 58.43/9.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------