TSTP Solution File: GRP067-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP067-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Gw4WkFBtD9 true
% Computer : n023.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 01:49:47 EDT 2023
% Result : Unsatisfiable 0.55s 0.88s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP067-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Gw4WkFBtD9 true
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 00:08:10 EDT 2023
% 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
% 0.12/0.34 % 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
% 0.54/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.88 % Solved by fo/fo4.sh.
% 0.55/0.88 % done 174 iterations in 0.103s
% 0.55/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.88 % SZS output start Refutation
% 0.55/0.88 thf(a3_type, type, a3: $i).
% 0.55/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.55/0.88 thf(identity_type, type, identity: $i).
% 0.55/0.88 thf(c3_type, type, c3: $i).
% 0.55/0.88 thf(a2_type, type, a2: $i).
% 0.55/0.88 thf(a1_type, type, a1: $i).
% 0.55/0.88 thf(divide_type, type, divide: $i > $i > $i).
% 0.55/0.88 thf(inverse_type, type, inverse: $i > $i).
% 0.55/0.88 thf(b3_type, type, b3: $i).
% 0.55/0.88 thf(prove_these_axioms, conjecture,
% 0.55/0.88 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.55/0.88 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 0.55/0.88 ( ( multiply @ identity @ a2 ) != ( a2 ) ) |
% 0.55/0.88 ( ( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity ) ) ))).
% 0.55/0.88 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.88 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 0.55/0.88 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 0.55/0.88 ( ( multiply @ identity @ a2 ) != ( a2 ) ) |
% 0.55/0.88 ( ( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity ) )),
% 0.55/0.88 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 0.55/0.88 thf(zip_derived_cl4, plain,
% 0.55/0.88 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.55/0.88 | ((multiply @ identity @ a2) != (a2))
% 0.55/0.88 | ((multiply @ (inverse @ a1) @ a1) != (identity)))),
% 0.55/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.88 thf(inverse, axiom, (( inverse @ X ) = ( divide @ identity @ X ))).
% 0.55/0.88 thf(zip_derived_cl2, plain,
% 0.55/0.88 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [inverse])).
% 0.55/0.88 thf(zip_derived_cl5, plain,
% 0.55/0.88 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.55/0.88 | ((multiply @ identity @ a2) != (a2))
% 0.55/0.88 | ((multiply @ (divide @ identity @ a1) @ a1) != (identity)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.55/0.88 thf(identity, axiom, (( identity ) = ( divide @ X @ X ))).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(multiply, axiom,
% 0.55/0.88 (( multiply @ X @ Y ) = ( divide @ X @ ( divide @ identity @ Y ) ))).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl7, plain,
% 0.55/0.88 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl30, plain,
% 0.55/0.88 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 0.55/0.88 | ((multiply @ identity @ a2) != (a2))
% 0.55/0.88 | ((identity) != (identity)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl7])).
% 0.55/0.88 thf(zip_derived_cl31, plain,
% 0.55/0.88 ((((multiply @ identity @ a2) != (a2))
% 0.55/0.88 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 0.55/0.88 inference('simplify', [status(thm)], [zip_derived_cl30])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl6, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X1 @ (divide @ identity @ X0))
% 0.55/0.88 = (divide @ X1 @ (multiply @ identity @ X0)))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl6, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X1 @ (divide @ identity @ X0))
% 0.55/0.88 = (divide @ X1 @ (multiply @ identity @ X0)))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(single_axiom, axiom,
% 0.55/0.88 (( divide @
% 0.55/0.88 ( divide @
% 0.55/0.88 ( divide @ X @ X ) @
% 0.55/0.88 ( divide @
% 0.55/0.88 X @ ( divide @ Y @ ( divide @ ( divide @ identity @ X ) @ Z ) ) ) ) @
% 0.55/0.88 Z ) =
% 0.55/0.88 ( Y ))).
% 0.55/0.88 thf(zip_derived_cl0, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ (divide @ X1 @ X1) @
% 0.55/0.88 (divide @ X1 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X1) @ X2)))) @
% 0.55/0.88 X2) = (X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [single_axiom])).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(zip_derived_cl10, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X1 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X1) @ X2)))) @
% 0.55/0.88 X2) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl14, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (multiply @ identity @
% 0.55/0.88 (divide @ X1 @ (divide @ (divide @ identity @ identity) @ X0))) @
% 0.55/0.88 X0) = (X1))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl23, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ (multiply @ identity @ (multiply @ X1 @ X0)) @ X0) = (X1))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl14, zip_derived_cl3, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl51, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @
% 0.55/0.88 (multiply @ identity @ (multiply @ X0 @ (divide @ identity @ X1))) @
% 0.55/0.88 X1) = (X0))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl6, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X1 @ (divide @ identity @ X0))
% 0.55/0.88 = (divide @ X1 @ (multiply @ identity @ X0)))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl60, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @
% 0.55/0.88 (multiply @ identity @ (divide @ X0 @ (multiply @ identity @ X1))) @
% 0.55/0.88 X1) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl6])).
% 0.55/0.88 thf(zip_derived_cl95, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((multiply @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (multiply @ identity @ (multiply @ identity @ X0))) @
% 0.55/0.88 X0) = (identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl60])).
% 0.55/0.88 thf(zip_derived_cl23, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ (multiply @ identity @ (multiply @ X1 @ X0)) @ X0) = (X1))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl14, zip_derived_cl3, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl109, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ (multiply @ identity @ identity) @ X0)
% 0.55/0.88 = (divide @ identity @
% 0.55/0.88 (multiply @ identity @ (multiply @ identity @ X0))))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl23])).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(zip_derived_cl7, plain,
% 0.55/0.88 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl34, plain,
% 0.55/0.88 (((multiply @ identity @ identity) = (identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.55/0.88 thf(zip_derived_cl120, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ identity @ X0)
% 0.55/0.88 = (divide @ identity @
% 0.55/0.88 (multiply @ identity @ (multiply @ identity @ X0))))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl34])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl125, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X1 @ (multiply @ identity @ (multiply @ identity @ X0)))
% 0.55/0.88 = (divide @ X1 @ (divide @ identity @ X0)))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl139, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X1 @ (multiply @ identity @ (multiply @ identity @ X0)))
% 0.55/0.88 = (multiply @ X1 @ X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl8, plain,
% 0.55/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (divide @ X0 @ identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl23, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ (multiply @ identity @ (multiply @ X1 @ X0)) @ X0) = (X1))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl14, zip_derived_cl3, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl53, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ (multiply @ identity @ (divide @ X0 @ identity)) @ identity)
% 0.55/0.88 = (X0))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 0.55/0.88 thf(zip_derived_cl53, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ (multiply @ identity @ (divide @ X0 @ identity)) @ identity)
% 0.55/0.88 = (X0))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 0.55/0.88 thf(zip_derived_cl53, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ (multiply @ identity @ (divide @ X0 @ identity)) @ identity)
% 0.55/0.88 = (X0))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 0.55/0.88 thf(zip_derived_cl61, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ (multiply @ identity @ X0) @ identity)
% 0.55/0.88 = (multiply @ identity @ (divide @ X0 @ identity)))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl53])).
% 0.55/0.88 thf(zip_derived_cl70, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ (divide @ (multiply @ identity @ X0) @ identity) @ identity)
% 0.55/0.88 = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl61])).
% 0.55/0.88 thf(zip_derived_cl144, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ (divide @ (multiply @ identity @ X0) @ identity) @ identity)
% 0.55/0.88 = (multiply @ identity @ (multiply @ identity @ X0)))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl70])).
% 0.55/0.88 thf(zip_derived_cl70, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ (divide @ (multiply @ identity @ X0) @ identity) @ identity)
% 0.55/0.88 = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl61])).
% 0.55/0.88 thf(zip_derived_cl165, plain,
% 0.55/0.88 (![X0 : $i]: ((X0) = (multiply @ identity @ (multiply @ identity @ X0)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl144, zip_derived_cl70])).
% 0.55/0.88 thf(zip_derived_cl70, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ (divide @ (multiply @ identity @ X0) @ identity) @ identity)
% 0.55/0.88 = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl61])).
% 0.55/0.88 thf(zip_derived_cl171, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ (divide @ X0 @ identity) @ identity)
% 0.55/0.88 = (multiply @ identity @ X0))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl165, zip_derived_cl70])).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(zip_derived_cl10, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X1 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X1) @ X2)))) @
% 0.55/0.88 X2) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl10, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X1 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X1) @ X2)))) @
% 0.55/0.88 X2) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl11, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.88 ((divide @ (divide @ identity @ (divide @ X2 @ X0)) @ X1)
% 0.55/0.88 = (divide @ identity @
% 0.55/0.88 (divide @ X3 @
% 0.55/0.88 (divide @ X0 @
% 0.55/0.88 (divide @ (divide @ identity @ X3) @
% 0.55/0.88 (divide @ (divide @ identity @ X2) @ X1))))))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl10])).
% 0.55/0.88 thf(zip_derived_cl232, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X1 @
% 0.55/0.88 (divide @ (divide @ identity @ X2) @
% 0.55/0.88 (divide @ (divide @ identity @ X1) @ X0)))) @
% 0.55/0.88 X0) = (divide @ identity @ (divide @ X2 @ identity)))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 0.55/0.88 thf(zip_derived_cl10, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X1 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X1) @ X2)))) @
% 0.55/0.88 X2) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl248, plain,
% 0.55/0.88 (![X2 : $i]:
% 0.55/0.88 ((divide @ identity @ X2)
% 0.55/0.88 = (divide @ identity @ (divide @ X2 @ identity)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl232, zip_derived_cl10])).
% 0.55/0.88 thf(zip_derived_cl7, plain,
% 0.55/0.88 (![X0 : $i]: ((multiply @ (divide @ identity @ X0) @ X0) = (identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl295, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((multiply @ (divide @ identity @ X0) @ (divide @ X0 @ identity))
% 0.55/0.88 = (identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl7])).
% 0.55/0.88 thf(zip_derived_cl317, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((multiply @ (divide @ identity @ (divide @ X0 @ identity)) @
% 0.55/0.88 (multiply @ identity @ X0)) = (identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl295])).
% 0.55/0.88 thf(zip_derived_cl248, plain,
% 0.55/0.88 (![X2 : $i]:
% 0.55/0.88 ((divide @ identity @ X2)
% 0.55/0.88 = (divide @ identity @ (divide @ X2 @ identity)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl232, zip_derived_cl10])).
% 0.55/0.88 thf(zip_derived_cl326, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((multiply @ (divide @ identity @ X0) @ (multiply @ identity @ X0))
% 0.55/0.88 = (identity))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl317, zip_derived_cl248])).
% 0.55/0.88 thf(zip_derived_cl334, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((multiply @ (divide @ identity @ (divide @ identity @ X0)) @
% 0.55/0.88 (divide @ identity @ (multiply @ identity @ X0))) = (identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl326])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl6, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X1 @ (divide @ identity @ X0))
% 0.55/0.88 = (divide @ X1 @ (multiply @ identity @ X0)))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl165, plain,
% 0.55/0.88 (![X0 : $i]: ((X0) = (multiply @ identity @ (multiply @ identity @ X0)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl144, zip_derived_cl70])).
% 0.55/0.88 thf(zip_derived_cl345, plain,
% 0.55/0.88 (![X0 : $i]: ((divide @ (multiply @ identity @ X0) @ X0) = (identity))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl334, zip_derived_cl1, zip_derived_cl6,
% 0.55/0.88 zip_derived_cl165])).
% 0.55/0.88 thf(zip_derived_cl60, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @
% 0.55/0.88 (multiply @ identity @ (divide @ X0 @ (multiply @ identity @ X1))) @
% 0.55/0.88 X1) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl6])).
% 0.55/0.88 thf(zip_derived_cl362, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((multiply @ (multiply @ identity @ identity) @ X0)
% 0.55/0.88 = (multiply @ identity @ (multiply @ identity @ X0)))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl345, zip_derived_cl60])).
% 0.55/0.88 thf(zip_derived_cl34, plain,
% 0.55/0.88 (((multiply @ identity @ identity) = (identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 0.55/0.88 thf(zip_derived_cl165, plain,
% 0.55/0.88 (![X0 : $i]: ((X0) = (multiply @ identity @ (multiply @ identity @ X0)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl144, zip_derived_cl70])).
% 0.55/0.88 thf(zip_derived_cl380, plain,
% 0.55/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl362, zip_derived_cl34, zip_derived_cl165])).
% 0.55/0.88 thf(zip_derived_cl383, plain,
% 0.55/0.88 ((((a2) != (a2))
% 0.55/0.88 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl380])).
% 0.55/0.88 thf(zip_derived_cl384, plain,
% 0.55/0.88 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.55/0.88 inference('simplify', [status(thm)], [zip_derived_cl383])).
% 0.55/0.88 thf(zip_derived_cl23, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ (multiply @ identity @ (multiply @ X1 @ X0)) @ X0) = (X1))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl14, zip_derived_cl3, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl380, plain,
% 0.55/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl362, zip_derived_cl34, zip_derived_cl165])).
% 0.55/0.88 thf(zip_derived_cl382, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl380])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl10, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X1 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X1) @ X2)))) @
% 0.55/0.88 X2) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl12, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X2 @
% 0.55/0.88 (divide @ X0 @
% 0.55/0.88 (divide @ (divide @ identity @ X2) @ (divide @ identity @ X1))))) @
% 0.55/0.88 X1) = (X0))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl25, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X2 @
% 0.55/0.88 (divide @ X0 @ (multiply @ (divide @ identity @ X2) @ X1)))) @
% 0.55/0.88 X1) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 0.55/0.88 thf(zip_derived_cl60, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @
% 0.55/0.88 (multiply @ identity @ (divide @ X0 @ (multiply @ identity @ X1))) @
% 0.55/0.88 X1) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl6])).
% 0.55/0.88 thf(zip_derived_cl380, plain,
% 0.55/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl362, zip_derived_cl34, zip_derived_cl165])).
% 0.55/0.88 thf(zip_derived_cl380, plain,
% 0.55/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl362, zip_derived_cl34, zip_derived_cl165])).
% 0.55/0.88 thf(zip_derived_cl386, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X0 @ X1) @ X1) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl60, zip_derived_cl380, zip_derived_cl380])).
% 0.55/0.88 thf(zip_derived_cl248, plain,
% 0.55/0.88 (![X2 : $i]:
% 0.55/0.88 ((divide @ identity @ X2)
% 0.55/0.88 = (divide @ identity @ (divide @ X2 @ identity)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl232, zip_derived_cl10])).
% 0.55/0.88 thf(zip_derived_cl10, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X1 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X1) @ X2)))) @
% 0.55/0.88 X2) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl10, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X1 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X1) @ X2)))) @
% 0.55/0.88 X2) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl13, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @
% 0.55/0.88 (divide @ X3 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X3) @ X2))) @
% 0.55/0.88 (divide @ X1 @ X0))) @
% 0.55/0.88 X2) = (X1))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl10])).
% 0.55/0.88 thf(zip_derived_cl422, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @
% 0.55/0.88 (divide @ X0 @ (divide @ identity @ (divide @ identity @ X0))) @
% 0.55/0.88 (divide @ X1 @ identity))) @
% 0.55/0.88 identity) = (X1))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl13])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl380, plain,
% 0.55/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl362, zip_derived_cl34, zip_derived_cl165])).
% 0.55/0.88 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 0.55/0.88 inference('cnf', [status(esa)], [identity])).
% 0.55/0.88 thf(zip_derived_cl248, plain,
% 0.55/0.88 (![X2 : $i]:
% 0.55/0.88 ((divide @ identity @ X2)
% 0.55/0.88 = (divide @ identity @ (divide @ X2 @ identity)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl232, zip_derived_cl10])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl380, plain,
% 0.55/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl362, zip_derived_cl34, zip_derived_cl165])).
% 0.55/0.88 thf(zip_derived_cl438, plain,
% 0.55/0.88 (![X1 : $i]: ((divide @ X1 @ identity) = (X1))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl422, zip_derived_cl1, zip_derived_cl380,
% 0.55/0.88 zip_derived_cl3, zip_derived_cl248, zip_derived_cl1,
% 0.55/0.88 zip_derived_cl380])).
% 0.55/0.88 thf(zip_derived_cl10, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X1 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X1) @ X2)))) @
% 0.55/0.88 X2) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl448, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X0 @ (divide @ X1 @ (divide @ identity @ X0)))) @
% 0.55/0.88 identity) = (X1))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl10])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl438, plain,
% 0.55/0.88 (![X1 : $i]: ((divide @ X1 @ identity) = (X1))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl422, zip_derived_cl1, zip_derived_cl380,
% 0.55/0.88 zip_derived_cl3, zip_derived_cl248, zip_derived_cl1,
% 0.55/0.88 zip_derived_cl380])).
% 0.55/0.88 thf(zip_derived_cl460, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ identity @ (divide @ X0 @ (multiply @ X1 @ X0))) = (X1))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl448, zip_derived_cl1, zip_derived_cl438])).
% 0.55/0.88 thf(zip_derived_cl438, plain,
% 0.55/0.88 (![X1 : $i]: ((divide @ X1 @ identity) = (X1))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl422, zip_derived_cl1, zip_derived_cl380,
% 0.55/0.88 zip_derived_cl3, zip_derived_cl248, zip_derived_cl1,
% 0.55/0.88 zip_derived_cl380])).
% 0.55/0.88 thf(zip_derived_cl1, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 0.55/0.88 inference('cnf', [status(esa)], [multiply])).
% 0.55/0.88 thf(zip_derived_cl10, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X1 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X1) @ X2)))) @
% 0.55/0.88 X2) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl15, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (multiply @ X1 @ (divide @ (divide @ identity @ X1) @ X0))) @
% 0.55/0.88 X0) = (identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 0.55/0.88 thf(zip_derived_cl510, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ identity @
% 0.55/0.88 (multiply @ X0 @ (divide @ (divide @ identity @ X0) @ identity)))
% 0.55/0.88 = (identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl15])).
% 0.55/0.88 thf(zip_derived_cl438, plain,
% 0.55/0.88 (![X1 : $i]: ((divide @ X1 @ identity) = (X1))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl422, zip_derived_cl1, zip_derived_cl380,
% 0.55/0.88 zip_derived_cl3, zip_derived_cl248, zip_derived_cl1,
% 0.55/0.88 zip_derived_cl380])).
% 0.55/0.88 thf(zip_derived_cl522, plain,
% 0.55/0.88 (![X0 : $i]:
% 0.55/0.88 ((divide @ identity @ (multiply @ X0 @ (divide @ identity @ X0)))
% 0.55/0.88 = (identity))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl510, zip_derived_cl438])).
% 0.55/0.88 thf(zip_derived_cl13, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @
% 0.55/0.88 (divide @ X3 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X3) @ X2))) @
% 0.55/0.88 (divide @ X1 @ X0))) @
% 0.55/0.88 X2) = (X1))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl10])).
% 0.55/0.88 thf(zip_derived_cl540, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @
% 0.55/0.88 (divide @ X2 @
% 0.55/0.88 (divide @ (multiply @ X1 @ (divide @ identity @ X1)) @
% 0.55/0.88 (divide @ (divide @ identity @ X2) @ X0))) @
% 0.55/0.88 identity)) @
% 0.55/0.88 X0) = (identity))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl522, zip_derived_cl13])).
% 0.55/0.88 thf(zip_derived_cl438, plain,
% 0.55/0.88 (![X1 : $i]: ((divide @ X1 @ identity) = (X1))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl422, zip_derived_cl1, zip_derived_cl380,
% 0.55/0.88 zip_derived_cl3, zip_derived_cl248, zip_derived_cl1,
% 0.55/0.88 zip_derived_cl380])).
% 0.55/0.88 thf(zip_derived_cl10, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((divide @
% 0.55/0.88 (divide @ identity @
% 0.55/0.88 (divide @ X1 @
% 0.55/0.88 (divide @ X0 @ (divide @ (divide @ identity @ X1) @ X2)))) @
% 0.55/0.88 X2) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.55/0.88 thf(zip_derived_cl560, plain,
% 0.55/0.88 (![X1 : $i]: ((multiply @ X1 @ (divide @ identity @ X1)) = (identity))),
% 0.55/0.88 inference('demod', [status(thm)],
% 0.55/0.88 [zip_derived_cl540, zip_derived_cl438, zip_derived_cl10])).
% 0.55/0.88 thf(zip_derived_cl382, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl380])).
% 0.55/0.88 thf(zip_derived_cl568, plain,
% 0.55/0.88 (![X0 : $i]: ((divide @ identity @ (divide @ identity @ X0)) = (X0))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl560, zip_derived_cl382])).
% 0.55/0.88 thf(zip_derived_cl624, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ identity @ X0) = (divide @ X1 @ (multiply @ X0 @ X1)))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl460, zip_derived_cl568])).
% 0.55/0.88 thf(zip_derived_cl658, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i]:
% 0.55/0.88 ((divide @ identity @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl624])).
% 0.55/0.88 thf(zip_derived_cl701, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @
% 0.55/0.88 (divide @
% 0.55/0.88 (divide @ X0 @ (multiply @ (divide @ identity @ X2) @ X1)) @ X2) @
% 0.55/0.88 X1) = (X0))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl658])).
% 0.55/0.88 thf(zip_derived_cl707, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @
% 0.55/0.88 (multiply @
% 0.55/0.88 (divide @ X2 @
% 0.55/0.88 (multiply @ (divide @ identity @ (divide @ identity @ X0)) @ X1)) @
% 0.55/0.88 X0) @
% 0.55/0.88 X1) = (X2))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl701])).
% 0.55/0.88 thf(zip_derived_cl568, plain,
% 0.55/0.88 (![X0 : $i]: ((divide @ identity @ (divide @ identity @ X0)) = (X0))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl560, zip_derived_cl382])).
% 0.55/0.88 thf(zip_derived_cl724, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ (multiply @ (divide @ X2 @ (multiply @ X0 @ X1)) @ X0) @
% 0.55/0.88 X1) = (X2))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl707, zip_derived_cl568])).
% 0.55/0.88 thf(zip_derived_cl1182, plain,
% 0.55/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.88 ((multiply @ (multiply @ X0 @ X2) @ X1)
% 0.55/0.88 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 0.55/0.88 inference('sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl724])).
% 0.55/0.88 thf(zip_derived_cl1218, plain,
% 0.55/0.88 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 0.55/0.88 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 0.55/0.88 inference('demod', [status(thm)], [zip_derived_cl384, zip_derived_cl1182])).
% 0.55/0.88 thf(zip_derived_cl1219, plain, ($false),
% 0.55/0.88 inference('simplify', [status(thm)], [zip_derived_cl1218])).
% 0.55/0.88
% 0.55/0.88 % SZS output end Refutation
% 0.55/0.88
% 0.55/0.88
% 0.55/0.88 % Terminating...
% 0.55/0.93 % Runner terminated.
% 1.70/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------