TSTP Solution File: GRP096-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP096-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FkyR22oAMd true
% Computer : n009.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 01:49:54 EDT 2023
% Result : Unsatisfiable 5.55s 1.39s
% Output : Refutation 5.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP096-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FkyR22oAMd true
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 23:12:35 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.50/0.62 % Total configuration time : 435
% 0.50/0.62 % Estimated wc time : 1092
% 0.50/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.55/1.39 % Solved by fo/fo4.sh.
% 5.55/1.39 % done 409 iterations in 0.605s
% 5.55/1.39 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.55/1.39 % SZS output start Refutation
% 5.55/1.39 thf(b3_type, type, b3: $i).
% 5.55/1.39 thf(inverse_type, type, inverse: $i > $i).
% 5.55/1.39 thf(multiply_type, type, multiply: $i > $i > $i).
% 5.55/1.39 thf(b1_type, type, b1: $i).
% 5.55/1.39 thf(a4_type, type, a4: $i).
% 5.55/1.39 thf(a3_type, type, a3: $i).
% 5.55/1.39 thf(a2_type, type, a2: $i).
% 5.55/1.39 thf(divide_type, type, divide: $i > $i > $i).
% 5.55/1.39 thf(a1_type, type, a1: $i).
% 5.55/1.39 thf(b2_type, type, b2: $i).
% 5.55/1.39 thf(b4_type, type, b4: $i).
% 5.55/1.39 thf(c3_type, type, c3: $i).
% 5.55/1.39 thf(prove_these_axioms, conjecture,
% 5.55/1.39 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 5.55/1.39 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 5.55/1.39 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 5.55/1.39 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 5.55/1.39 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 5.55/1.39 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 5.55/1.39 thf(zf_stmt_0, negated_conjecture,
% 5.55/1.39 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 5.55/1.39 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 5.55/1.39 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 5.55/1.39 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 5.55/1.39 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 5.55/1.39 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 5.55/1.39 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 5.55/1.39 thf(zip_derived_cl2, plain,
% 5.55/1.39 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 5.55/1.39 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 5.55/1.39 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 5.55/1.39 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 5.55/1.39 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 5.55/1.39 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.55/1.39 thf(multiply, axiom,
% 5.55/1.39 (( multiply @ X @ Y ) = ( divide @ X @ ( inverse @ Y ) ))).
% 5.55/1.39 thf(zip_derived_cl1, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.55/1.39 inference('cnf', [status(esa)], [multiply])).
% 5.55/1.39 thf(zip_derived_cl1, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.55/1.39 inference('cnf', [status(esa)], [multiply])).
% 5.55/1.39 thf(zip_derived_cl1, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.55/1.39 inference('cnf', [status(esa)], [multiply])).
% 5.55/1.39 thf(zip_derived_cl1, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.55/1.39 inference('cnf', [status(esa)], [multiply])).
% 5.55/1.39 thf(zip_derived_cl1, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.55/1.39 inference('cnf', [status(esa)], [multiply])).
% 5.55/1.39 thf(zip_derived_cl1, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.55/1.39 inference('cnf', [status(esa)], [multiply])).
% 5.55/1.39 thf(zip_derived_cl1, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.55/1.39 inference('cnf', [status(esa)], [multiply])).
% 5.55/1.39 thf(zip_derived_cl1, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.55/1.39 inference('cnf', [status(esa)], [multiply])).
% 5.55/1.39 thf(zip_derived_cl1, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.55/1.39 inference('cnf', [status(esa)], [multiply])).
% 5.55/1.39 thf(zip_derived_cl1, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 5.55/1.39 inference('cnf', [status(esa)], [multiply])).
% 5.55/1.39 thf(zip_derived_cl3, plain,
% 5.55/1.39 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 5.55/1.39 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 5.55/1.39 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 5.55/1.39 | ((divide @ (divide @ (inverse @ b2) @ (inverse @ b2)) @
% 5.55/1.39 (inverse @ a2)) != (a2))
% 5.55/1.39 | ((divide @ (inverse @ a1) @ (inverse @ a1))
% 5.55/1.39 != (divide @ (inverse @ b1) @ (inverse @ b1))))),
% 5.55/1.39 inference('demod', [status(thm)],
% 5.55/1.39 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1,
% 5.55/1.39 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 5.55/1.39 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 5.55/1.39 zip_derived_cl1, zip_derived_cl1])).
% 5.55/1.39 thf(single_axiom, axiom,
% 5.55/1.39 (( divide @
% 5.55/1.39 ( divide @ X @ ( inverse @ ( divide @ Y @ ( divide @ X @ Z ) ) ) ) @ Z ) =
% 5.55/1.39 ( Y ))).
% 5.55/1.39 thf(zip_derived_cl0, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 5.55/1.39 = (X0))),
% 5.55/1.39 inference('cnf', [status(esa)], [single_axiom])).
% 5.55/1.39 thf(zip_derived_cl0, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 5.55/1.39 = (X0))),
% 5.55/1.39 inference('cnf', [status(esa)], [single_axiom])).
% 5.55/1.39 thf(zip_derived_cl4, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @
% 5.55/1.39 (divide @ X3 @ (inverse @ (divide @ X0 @ (divide @ X3 @ X2)))) @
% 5.55/1.39 (inverse @ (divide @ X1 @ X0))) @
% 5.55/1.39 X2) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl0, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 5.55/1.39 = (X0))),
% 5.55/1.39 inference('cnf', [status(esa)], [single_axiom])).
% 5.55/1.39 thf(zip_derived_cl0, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 5.55/1.39 = (X0))),
% 5.55/1.39 inference('cnf', [status(esa)], [single_axiom])).
% 5.55/1.39 thf(zip_derived_cl0, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 5.55/1.39 = (X0))),
% 5.55/1.39 inference('cnf', [status(esa)], [single_axiom])).
% 5.55/1.39 thf(zip_derived_cl5, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.55/1.39 ((divide @ (divide @ X2 @ (inverse @ X0)) @ X1)
% 5.55/1.39 = (divide @ X3 @
% 5.55/1.39 (inverse @ (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl0, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 5.55/1.39 = (X0))),
% 5.55/1.39 inference('cnf', [status(esa)], [single_axiom])).
% 5.55/1.39 thf(zip_derived_cl10, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @ (divide @ (divide @ X2 @ (inverse @ X1)) @ X0) @
% 5.55/1.39 (divide @ X2 @ X0)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl10, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @ (divide @ (divide @ X2 @ (inverse @ X1)) @ X0) @
% 5.55/1.39 (divide @ X2 @ X0)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl25, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @ X0 @
% 5.55/1.39 (divide @ (divide @ X2 @ (inverse @ X0)) @
% 5.55/1.39 (divide @ X2 @ (inverse @ X1))))
% 5.55/1.39 = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl10])).
% 5.55/1.39 thf(zip_derived_cl41, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X0 @ (divide @ X2 @ (divide @ X2 @ (inverse @ X1)))) @ X0)
% 5.55/1.39 = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl25])).
% 5.55/1.39 thf(zip_derived_cl0, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 5.55/1.39 = (X0))),
% 5.55/1.39 inference('cnf', [status(esa)], [single_axiom])).
% 5.55/1.39 thf(zip_derived_cl49, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.55/1.39 ((divide @ (divide @ X3 @ (inverse @ X0)) @ X2)
% 5.55/1.39 = (divide @ (divide @ X3 @ X2) @
% 5.55/1.39 (divide @ X1 @ (divide @ X1 @ (inverse @ X0)))))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl5, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.55/1.39 ((divide @ (divide @ X2 @ (inverse @ X0)) @ X1)
% 5.55/1.39 = (divide @ X3 @
% 5.55/1.39 (inverse @ (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl70, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.55/1.39 ((divide @ (divide @ X3 @ (inverse @ (divide @ X2 @ X0))) @
% 5.55/1.39 (inverse @ X1))
% 5.55/1.39 = (divide @ X3 @
% 5.55/1.39 (inverse @ (divide @ (divide @ X2 @ (inverse @ X1)) @ X0))))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl5])).
% 5.55/1.39 thf(zip_derived_cl0, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 5.55/1.39 = (X0))),
% 5.55/1.39 inference('cnf', [status(esa)], [single_axiom])).
% 5.55/1.39 thf(zip_derived_cl129, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 5.55/1.39 inference('demod', [status(thm)],
% 5.55/1.39 [zip_derived_cl4, zip_derived_cl70, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl129, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 5.55/1.39 inference('demod', [status(thm)],
% 5.55/1.39 [zip_derived_cl4, zip_derived_cl70, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl131, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (inverse @ (divide @ X0 @ X1)) @ (inverse @ X0)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl129, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 5.55/1.39 inference('demod', [status(thm)],
% 5.55/1.39 [zip_derived_cl4, zip_derived_cl70, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl153, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (inverse @ X1) @ (inverse @ X0))
% 5.55/1.39 = (inverse @ (divide @ X1 @ X0)))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl153, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (inverse @ X1) @ (inverse @ X0))
% 5.55/1.39 = (inverse @ (divide @ X1 @ X0)))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl153, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (inverse @ X1) @ (inverse @ X0))
% 5.55/1.39 = (inverse @ (divide @ X1 @ X0)))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl153, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (inverse @ X1) @ (inverse @ X0))
% 5.55/1.39 = (inverse @ (divide @ X1 @ X0)))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl174, plain,
% 5.55/1.39 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 5.55/1.39 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 5.55/1.39 != (divide @ a3 @ (inverse @ (divide @ b3 @ (inverse @ c3)))))
% 5.55/1.39 | ((inverse @ (divide @ (divide @ b2 @ b2) @ a2)) != (a2))
% 5.55/1.39 | ((inverse @ (divide @ a1 @ a1)) != (inverse @ (divide @ b1 @ b1))))),
% 5.55/1.39 inference('demod', [status(thm)],
% 5.55/1.39 [zip_derived_cl3, zip_derived_cl153, zip_derived_cl153,
% 5.55/1.39 zip_derived_cl153, zip_derived_cl153])).
% 5.55/1.39 thf(zip_derived_cl153, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (inverse @ X1) @ (inverse @ X0))
% 5.55/1.39 = (inverse @ (divide @ X1 @ X0)))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl129, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 5.55/1.39 inference('demod', [status(thm)],
% 5.55/1.39 [zip_derived_cl4, zip_derived_cl70, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl190, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((inverse @ (divide @ X0 @ (divide @ X1 @ (inverse @ X0)))) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl0, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 5.55/1.39 = (X0))),
% 5.55/1.39 inference('cnf', [status(esa)], [single_axiom])).
% 5.55/1.39 thf(zip_derived_cl250, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X0 @ X0) @ (inverse @ X1)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl25, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @ X0 @
% 5.55/1.39 (divide @ (divide @ X2 @ (inverse @ X0)) @
% 5.55/1.39 (divide @ X2 @ (inverse @ X1))))
% 5.55/1.39 = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl10])).
% 5.55/1.39 thf(zip_derived_cl351, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @ X0 @
% 5.55/1.39 (divide @ X0 @ (divide @ (divide @ X2 @ X2) @ (inverse @ X1))))
% 5.55/1.39 = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl25])).
% 5.55/1.39 thf(zip_derived_cl250, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X0 @ X0) @ (inverse @ X1)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl373, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 5.55/1.39 inference('demod', [status(thm)], [zip_derived_cl351, zip_derived_cl250])).
% 5.55/1.39 thf(zip_derived_cl153, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (inverse @ X1) @ (inverse @ X0))
% 5.55/1.39 = (inverse @ (divide @ X1 @ X0)))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl131, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (inverse @ (divide @ X0 @ X1)) @ (inverse @ X0)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl191, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((inverse @ (divide @ (divide @ X0 @ X1) @ X0)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl131])).
% 5.55/1.39 thf(zip_derived_cl384, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((inverse @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl191])).
% 5.55/1.39 thf(zip_derived_cl384, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((inverse @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl191])).
% 5.55/1.39 thf(zip_derived_cl190, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((inverse @ (divide @ X0 @ (divide @ X1 @ (inverse @ X0)))) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl129, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ X0 @ (inverse @ (divide @ X1 @ X0))) = (X1))),
% 5.55/1.39 inference('demod', [status(thm)],
% 5.55/1.39 [zip_derived_cl4, zip_derived_cl70, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl247, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl0, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 5.55/1.39 = (X0))),
% 5.55/1.39 inference('cnf', [status(esa)], [single_axiom])).
% 5.55/1.39 thf(zip_derived_cl284, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl247, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl384, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((inverse @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl191])).
% 5.55/1.39 thf(zip_derived_cl384, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((inverse @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl191])).
% 5.55/1.39 thf(zip_derived_cl424, plain,
% 5.55/1.39 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 5.55/1.39 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 5.55/1.39 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))
% 5.55/1.39 | ((a2) != (a2))
% 5.55/1.39 | ((divide @ a1 @ a1) != (divide @ b1 @ b1)))),
% 5.55/1.39 inference('demod', [status(thm)],
% 5.55/1.39 [zip_derived_cl174, zip_derived_cl384, zip_derived_cl384,
% 5.55/1.39 zip_derived_cl284, zip_derived_cl384, zip_derived_cl384])).
% 5.55/1.39 thf(zip_derived_cl425, plain,
% 5.55/1.39 ((((divide @ a1 @ a1) != (divide @ b1 @ b1))
% 5.55/1.39 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 5.55/1.39 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))
% 5.55/1.39 | ((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4))))),
% 5.55/1.39 inference('simplify', [status(thm)], [zip_derived_cl424])).
% 5.55/1.39 thf(zip_derived_cl284, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X0 @ X0)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl247, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl373, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 5.55/1.39 inference('demod', [status(thm)], [zip_derived_cl351, zip_derived_cl250])).
% 5.55/1.39 thf(zip_derived_cl392, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]: ((divide @ X0 @ X0) = (divide @ X1 @ X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl373])).
% 5.55/1.39 thf(zip_derived_cl541, plain,
% 5.55/1.39 ((((divide @ a4 @ (inverse @ b4)) != (divide @ b4 @ (inverse @ a4)))
% 5.55/1.39 | ((divide @ (divide @ a3 @ (inverse @ b3)) @ (inverse @ c3))
% 5.55/1.39 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3))))),
% 5.55/1.39 inference('simplify_reflect+', [status(thm)],
% 5.55/1.39 [zip_derived_cl425, zip_derived_cl392])).
% 5.55/1.39 thf(zip_derived_cl247, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl250, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X0 @ X0) @ (inverse @ X1)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl0, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 5.55/1.39 = (X0))),
% 5.55/1.39 inference('cnf', [status(esa)], [single_axiom])).
% 5.55/1.39 thf(zip_derived_cl340, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ (divide @ X2 @ X2) @ (inverse @ (divide @ X1 @ X0))) @
% 5.55/1.39 (inverse @ X0)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl250, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X0 @ X0) @ (inverse @ X1)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl367, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 5.55/1.39 inference('demod', [status(thm)], [zip_derived_cl340, zip_derived_cl250])).
% 5.55/1.39 thf(zip_derived_cl833, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl247, zip_derived_cl367])).
% 5.55/1.39 thf(zip_derived_cl833, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl247, zip_derived_cl367])).
% 5.55/1.39 thf(zip_derived_cl833, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ X0 @ (inverse @ X1)) = (divide @ X1 @ (inverse @ X0)))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl247, zip_derived_cl367])).
% 5.55/1.39 thf(zip_derived_cl384, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((inverse @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl191])).
% 5.55/1.39 thf(zip_derived_cl1189, plain,
% 5.55/1.39 ((((divide @ b4 @ (inverse @ a4)) != (divide @ b4 @ (inverse @ a4)))
% 5.55/1.39 | ((divide @ c3 @ (divide @ (inverse @ a3) @ b3))
% 5.55/1.39 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3))))),
% 5.55/1.39 inference('demod', [status(thm)],
% 5.55/1.39 [zip_derived_cl541, zip_derived_cl833, zip_derived_cl833,
% 5.55/1.39 zip_derived_cl833, zip_derived_cl384])).
% 5.55/1.39 thf(zip_derived_cl1190, plain,
% 5.55/1.39 (((divide @ c3 @ (divide @ (inverse @ a3) @ b3))
% 5.55/1.39 != (divide @ a3 @ (divide @ (inverse @ c3) @ b3)))),
% 5.55/1.39 inference('simplify', [status(thm)], [zip_derived_cl1189])).
% 5.55/1.39 thf(zip_derived_cl373, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 5.55/1.39 inference('demod', [status(thm)], [zip_derived_cl351, zip_derived_cl250])).
% 5.55/1.39 thf(zip_derived_cl190, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((inverse @ (divide @ X0 @ (divide @ X1 @ (inverse @ X0)))) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl389, plain,
% 5.55/1.39 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl190])).
% 5.55/1.39 thf(zip_derived_cl247, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X0 @ (inverse @ X1)) @ X0) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl129])).
% 5.55/1.39 thf(zip_derived_cl407, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X1 @ X0) @ X1) = (inverse @ X0))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl389, zip_derived_cl247])).
% 5.55/1.39 thf(zip_derived_cl250, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X0 @ X0) @ (inverse @ X1)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl10, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @ (divide @ (divide @ X2 @ (inverse @ X1)) @ X0) @
% 5.55/1.39 (divide @ X2 @ X0)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl344, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ (divide @ (divide @ X2 @ X2) @ (inverse @ X1)) @
% 5.55/1.39 (inverse @ X0)) @
% 5.55/1.39 X0) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl10])).
% 5.55/1.39 thf(zip_derived_cl250, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X0 @ X0) @ (inverse @ X1)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl370, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 5.55/1.39 inference('demod', [status(thm)], [zip_derived_cl344, zip_derived_cl250])).
% 5.55/1.39 thf(zip_derived_cl882, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (inverse @ X0) @ X1) = (divide @ (inverse @ X1) @ X0))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl370])).
% 5.55/1.39 thf(zip_derived_cl882, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (inverse @ X0) @ X1) = (divide @ (inverse @ X1) @ X0))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl370])).
% 5.55/1.39 thf(zip_derived_cl1327, plain,
% 5.55/1.39 (((divide @ c3 @ (divide @ (inverse @ b3) @ a3))
% 5.55/1.39 != (divide @ a3 @ (divide @ (inverse @ b3) @ c3)))),
% 5.55/1.39 inference('demod', [status(thm)],
% 5.55/1.39 [zip_derived_cl1190, zip_derived_cl882, zip_derived_cl882])).
% 5.55/1.39 thf(zip_derived_cl373, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X0 @ X1)) = (X1))),
% 5.55/1.39 inference('demod', [status(thm)], [zip_derived_cl351, zip_derived_cl250])).
% 5.55/1.39 thf(zip_derived_cl250, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X0 @ X0) @ (inverse @ X1)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl0, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @
% 5.55/1.39 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 5.55/1.39 = (X0))),
% 5.55/1.39 inference('cnf', [status(esa)], [single_axiom])).
% 5.55/1.39 thf(zip_derived_cl5, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.55/1.39 ((divide @ (divide @ X2 @ (inverse @ X0)) @ X1)
% 5.55/1.39 = (divide @ X3 @
% 5.55/1.39 (inverse @ (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl12, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.55/1.39 ((divide @ (divide @ X2 @ (inverse @ X4)) @ X1)
% 5.55/1.39 = (divide @
% 5.55/1.39 (divide @ X3 @
% 5.55/1.39 (inverse @ (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))) @
% 5.55/1.39 (inverse @ (divide @ X4 @ X0))))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 5.55/1.39 thf(zip_derived_cl5, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.55/1.39 ((divide @ (divide @ X2 @ (inverse @ X0)) @ X1)
% 5.55/1.39 = (divide @ X3 @
% 5.55/1.39 (inverse @ (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1))))))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl16, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 5.55/1.39 ((divide @ (divide @ X2 @ (inverse @ X4)) @ X1)
% 5.55/1.39 = (divide @ (divide @ (divide @ X2 @ (inverse @ X0)) @ X1) @
% 5.55/1.39 (inverse @ (divide @ X4 @ X0))))),
% 5.55/1.39 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl5])).
% 5.55/1.39 thf(zip_derived_cl384, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((inverse @ (divide @ X0 @ X1)) = (divide @ X1 @ X0))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl191])).
% 5.55/1.39 thf(zip_derived_cl485, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 5.55/1.39 ((divide @ (divide @ X2 @ (inverse @ X4)) @ X1)
% 5.55/1.39 = (divide @ (divide @ (divide @ X2 @ (inverse @ X0)) @ X1) @
% 5.55/1.39 (divide @ X0 @ X4)))),
% 5.55/1.39 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl384])).
% 5.55/1.39 thf(zip_derived_cl518, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.55/1.39 ((divide @ (divide @ (divide @ X3 @ X3) @ (inverse @ X1)) @ X2)
% 5.55/1.39 = (divide @ (divide @ X0 @ X2) @ (divide @ X0 @ X1)))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl485])).
% 5.55/1.39 thf(zip_derived_cl250, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i]:
% 5.55/1.39 ((divide @ (divide @ X0 @ X0) @ (inverse @ X1)) = (X1))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl0])).
% 5.55/1.39 thf(zip_derived_cl534, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @ X1 @ X2)
% 5.55/1.39 = (divide @ (divide @ X0 @ X2) @ (divide @ X0 @ X1)))),
% 5.55/1.39 inference('demod', [status(thm)], [zip_derived_cl518, zip_derived_cl250])).
% 5.55/1.39 thf(zip_derived_cl2991, plain,
% 5.55/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.55/1.39 ((divide @ X1 @ (divide @ X2 @ X0))
% 5.55/1.39 = (divide @ X0 @ (divide @ X2 @ X1)))),
% 5.55/1.39 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl534])).
% 5.55/1.39 thf(zip_derived_cl3759, plain,
% 5.55/1.39 (((divide @ c3 @ (divide @ (inverse @ b3) @ a3))
% 5.55/1.39 != (divide @ c3 @ (divide @ (inverse @ b3) @ a3)))),
% 5.55/1.39 inference('demod', [status(thm)],
% 5.55/1.39 [zip_derived_cl1327, zip_derived_cl2991])).
% 5.55/1.39 thf(zip_derived_cl3760, plain, ($false),
% 5.55/1.39 inference('simplify', [status(thm)], [zip_derived_cl3759])).
% 5.55/1.39
% 5.55/1.39 % SZS output end Refutation
% 5.55/1.39
% 5.55/1.39
% 5.55/1.39 % Terminating...
% 5.55/1.44 % Runner terminated.
% 5.55/1.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------