%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP082-1 : TPTP v9.2.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xUNs3iEtRE true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:35:35 PM UTC 2025
% Result : Unsatisfiable 64.86s 12.37s
% Output : Refutation 64.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP082-1 : TPTP v9.2.0. Bugfixed v2.3.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xUNs3iEtRE true
% 0.10/0.32 % Computer : n029.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 14:24:23 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.43/0.60 % Total configuration time : 435
% 0.43/0.60 % Estimated wc time : 1092
% 0.43/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 64.86/12.37 % Solved by fo/fo5.sh.
% 64.86/12.37 % done 1248 iterations in 11.463s
% 64.86/12.37 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 64.86/12.37 % SZS output start Refutation
% 64.86/12.37 thf(a3_type, type, a3: $i).
% 64.86/12.37 thf(a1_type, type, a1: $i).
% 64.86/12.37 thf(multiply_type, type, multiply: $i > $i > $i).
% 64.86/12.37 thf(inverse_type, type, inverse: $i > $i).
% 64.86/12.37 thf(c3_type, type, c3: $i).
% 64.86/12.37 thf(a2_type, type, a2: $i).
% 64.86/12.37 thf(b2_type, type, b2: $i).
% 64.86/12.37 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 64.86/12.37 thf(b1_type, type, b1: $i).
% 64.86/12.37 thf(b3_type, type, b3: $i).
% 64.86/12.37 thf(prove_these_axioms, conjecture,
% 64.86/12.37 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 64.86/12.37 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 64.86/12.37 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 64.86/12.37 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 64.86/12.37 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 64.86/12.37 thf(zf_stmt_0, negated_conjecture,
% 64.86/12.37 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 64.86/12.37 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 64.86/12.37 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 64.86/12.37 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 64.86/12.37 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 64.86/12.37 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 64.86/12.37 thf(zip_derived_cl2, plain,
% 64.86/12.37 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 64.86/12.37 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 64.86/12.37 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 64.86/12.37 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 64.86/12.37 thf(single_axiom, axiom,
% 64.86/12.37 (( double_divide @
% 64.86/12.37 ( inverse @ X ) @
% 64.86/12.37 ( inverse @
% 64.86/12.37 ( double_divide @
% 64.86/12.37 ( inverse @ ( double_divide @ X @ ( double_divide @ Y @ Z ) ) ) @
% 64.86/12.37 ( double_divide @ U @ ( double_divide @ Y @ U ) ) ) ) ) =
% 64.86/12.37 ( Z ))).
% 64.86/12.37 thf(zip_derived_cl0, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X1) @
% 64.86/12.37 (inverse @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (inverse @ (double_divide @ X1 @ (double_divide @ X2 @ X0))) @
% 64.86/12.37 (double_divide @ X3 @ (double_divide @ X2 @ X3)))))
% 64.86/12.37 = (X0))),
% 64.86/12.37 inference('cnf', [status(esa)], [single_axiom])).
% 64.86/12.37 thf(multiply, axiom,
% 64.86/12.37 (( multiply @ X @ Y ) = ( inverse @ ( double_divide @ Y @ X ) ))).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl3, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X1) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X2 @ X0) @ X1)))
% 64.86/12.37 = (X0))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl3, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X1) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X2 @ X0) @ X1)))
% 64.86/12.37 = (X0))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl4, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X4) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X5 @ (double_divide @ (inverse @ X1) @ X5)) @
% 64.86/12.37 (multiply @ X0 @ X4)))
% 64.86/12.37 = (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X2 @ X0) @ X1)))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl3, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X1) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X2 @ X0) @ X1)))
% 64.86/12.37 = (X0))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl4, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X4) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X5 @ (double_divide @ (inverse @ X1) @ X5)) @
% 64.86/12.37 (multiply @ X0 @ X4)))
% 64.86/12.37 = (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X2 @ X0) @ X1)))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl3, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X1) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X2 @ X0) @ X1)))
% 64.86/12.37 = (X0))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl9, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((double_divide @ (multiply @ X1 @ X0) @
% 64.86/12.37 (multiply @ (double_divide @ X4 @ (double_divide @ X3 @ X4)) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ X2) @ (double_divide @ X0 @ X1))))
% 64.86/12.37 = (X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl83, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((double_divide @ (multiply @ X3 @ X4) @
% 64.86/12.37 (double_divide @ (inverse @ X0) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @
% 64.86/12.37 (double_divide @ (inverse @ (double_divide @ X4 @ X3)) @ X2)) @
% 64.86/12.37 (multiply @ X1 @ X0))))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl9])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl125, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((double_divide @ (multiply @ X3 @ X4) @
% 64.86/12.37 (double_divide @ (inverse @ X0) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (multiply @ X3 @ X4) @ X2)) @
% 64.86/12.37 (multiply @ X1 @ X0))))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl256, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 64.86/12.37 ((double_divide @
% 64.86/12.37 (multiply @ (double_divide @ X6 @ (double_divide @ X5 @ X6)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X5 @ (double_divide @ (inverse @ X4) @ X0)) @ X4)) @
% 64.86/12.37 (double_divide @ (inverse @ X2) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X0 @ X3)) @
% 64.86/12.37 (multiply @ X1 @ X2))))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl125])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl267, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ X0 @
% 64.86/12.37 (double_divide @ (inverse @ X2) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X0 @ X3)) @
% 64.86/12.37 (multiply @ X1 @ X2))))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl267, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ X0 @
% 64.86/12.37 (double_divide @ (inverse @ X2) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X0 @ X3)) @
% 64.86/12.37 (multiply @ X1 @ X2))))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl291, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X4 @ (double_divide @ X3 @ X4)) @
% 64.86/12.37 (multiply @ X0 @ X1))
% 64.86/12.37 = (multiply @ (double_divide @ X2 @ (double_divide @ X3 @ X2)) @
% 64.86/12.37 (multiply @ X0 @ X1)))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl460, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X6 @ (double_divide @ X5 @ X6)) @ X0)
% 64.86/12.37 = (multiply @ (double_divide @ X4 @ (double_divide @ X5 @ X4)) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X1) @ X0)) @
% 64.86/12.37 X1))))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl291])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl487, plain,
% 64.86/12.37 (![X0 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X6 @ (double_divide @ X5 @ X6)) @ X0)
% 64.86/12.37 = (multiply @ (double_divide @ X4 @ (double_divide @ X5 @ X4)) @ X0))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl460, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl507, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X1 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl267, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ X0 @
% 64.86/12.37 (double_divide @ (inverse @ X2) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X0 @ X3)) @
% 64.86/12.37 (multiply @ X1 @ X2))))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl281, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (inverse @ X1) @
% 64.86/12.37 (multiply @ (double_divide @ X2 @ (double_divide @ X3 @ X2)) @
% 64.86/12.37 (multiply @ X0 @ X1))) @
% 64.86/12.37 X3) = (inverse @ X0))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl645, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ (inverse @ X2) @ X0) @ X0)
% 64.86/12.37 = (inverse @
% 64.86/12.37 (double_divide @ X1 @ (double_divide @ (inverse @ X2) @ X1))))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl507, zip_derived_cl281])).
% 64.86/12.37 thf(zip_derived_cl706, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ (multiply @ X1 @ X0) @ X3) @ X3)
% 64.86/12.37 = (inverse @
% 64.86/12.37 (double_divide @ X2 @
% 64.86/12.37 (double_divide @ (inverse @ (double_divide @ X0 @ X1)) @ X2))))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl645])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl717, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ (multiply @ X1 @ X0) @ X3) @ X3)
% 64.86/12.37 = (multiply @ (double_divide @ (multiply @ X1 @ X0) @ X2) @ X2))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl706, zip_derived_cl1, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl1202, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X0 @ X5) @ X5)
% 64.86/12.37 = (multiply @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (multiply @ (double_divide @ X4 @ (double_divide @ X3 @ X4)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X3 @ (double_divide @ (inverse @ X2) @ X0)) @
% 64.86/12.37 X2)) @
% 64.86/12.37 X1) @
% 64.86/12.37 X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl717])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl1232, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X0 @ X5) @ X5)
% 64.86/12.37 = (multiply @ (double_divide @ X0 @ X1) @ X1))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl1202, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl507, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X1 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl628, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (inverse @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X1 @ (double_divide @ (inverse @ X0) @ X1)) @ X0)))
% 64.86/12.37 = (X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl507, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl507, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X1 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl4, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X4) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X5 @ (double_divide @ (inverse @ X1) @ X5)) @
% 64.86/12.37 (multiply @ X0 @ X4)))
% 64.86/12.37 = (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X2 @ X0) @ X1)))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl1232, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X0 @ X5) @ X5)
% 64.86/12.37 = (multiply @ (double_divide @ X0 @ X1) @ X1))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl1202, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl3, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X1) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X2 @ X0) @ X1)))
% 64.86/12.37 = (X0))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl6, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X2 @ X0) @ X1)) @
% 64.86/12.37 (inverse @ X1)) = (inverse @ X0))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl1258, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X1 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X1 @ X0) @ X0)) @
% 64.86/12.37 (inverse @ X2)) = (inverse @ X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl1232, zip_derived_cl6])).
% 64.86/12.37 thf(zip_derived_cl2936, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (inverse @ X0) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X1) @ X2)) @
% 64.86/12.37 (multiply @ X1 @ X0))) @
% 64.86/12.37 (inverse @ X3)) = (inverse @ X3))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1258])).
% 64.86/12.37 thf(zip_derived_cl4982, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (inverse @ X1) @
% 64.86/12.37 (inverse @
% 64.86/12.37 (double_divide @ X0 @ (double_divide @ (inverse @ X1) @ X0)))) @
% 64.86/12.37 (inverse @ X2)) = (inverse @ X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl507, zip_derived_cl2936])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl5041, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (inverse @ X1) @
% 64.86/12.37 (multiply @ (double_divide @ (inverse @ X1) @ X0) @ X0)) @
% 64.86/12.37 (inverse @ X2)) = (inverse @ X2))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl4982, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl5096, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (inverse @ X3) @
% 64.86/12.37 (multiply @ (double_divide @ (inverse @ X3) @ X2) @ X2)) @
% 64.86/12.37 (multiply @ X1 @ X0)) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl5041])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl5137, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (inverse @ X3) @
% 64.86/12.37 (multiply @ (double_divide @ (inverse @ X3) @ X2) @ X2)) @
% 64.86/12.37 (multiply @ X1 @ X0)) = (multiply @ X1 @ X0))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl5096, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl5205, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (inverse @ X5) @
% 64.86/12.37 (multiply @ (double_divide @ (inverse @ X5) @ X4) @ X4)) @
% 64.86/12.37 X0)
% 64.86/12.37 = (multiply @ (double_divide @ X3 @ (double_divide @ X0 @ X3)) @
% 64.86/12.37 (inverse @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X1) @ X2)) @
% 64.86/12.37 X1))))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl628, zip_derived_cl5137])).
% 64.86/12.37 thf(zip_derived_cl628, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (inverse @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X1 @ (double_divide @ (inverse @ X0) @ X1)) @ X0)))
% 64.86/12.37 = (X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl507, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl5263, plain,
% 64.86/12.37 (![X0 : $i, X4 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (inverse @ X5) @
% 64.86/12.37 (multiply @ (double_divide @ (inverse @ X5) @ X4) @ X4)) @
% 64.86/12.37 X0) = (X0))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl5205, zip_derived_cl628])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl5263, plain,
% 64.86/12.37 (![X0 : $i, X4 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (inverse @ X5) @
% 64.86/12.37 (multiply @ (double_divide @ (inverse @ X5) @ X4) @ X4)) @
% 64.86/12.37 X0) = (X0))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl5205, zip_derived_cl628])).
% 64.86/12.37 thf(zip_derived_cl5362, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (inverse @ (double_divide @ X0 @ X1)) @
% 64.86/12.37 (multiply @ (double_divide @ (multiply @ X1 @ X0) @ X3) @ X3)) @
% 64.86/12.37 X2) = (X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl5263])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl5383, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (multiply @ X1 @ X0) @
% 64.86/12.37 (multiply @ (double_divide @ (multiply @ X1 @ X0) @ X3) @ X3)) @
% 64.86/12.37 X2) = (X2))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl5362, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl5688, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ (inverse @ X4) @
% 64.86/12.37 (multiply @ (double_divide @ (inverse @ X4) @ X3) @ X3)) @
% 64.86/12.37 X0) @
% 64.86/12.37 (multiply @ (double_divide @ X0 @ X2) @ X2)) @
% 64.86/12.37 X1) = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl5263, zip_derived_cl5383])).
% 64.86/12.37 thf(zip_derived_cl5263, plain,
% 64.86/12.37 (![X0 : $i, X4 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (inverse @ X5) @
% 64.86/12.37 (multiply @ (double_divide @ (inverse @ X5) @ X4) @ X4)) @
% 64.86/12.37 X0) = (X0))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl5205, zip_derived_cl628])).
% 64.86/12.37 thf(zip_derived_cl5746, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ X0 @ (multiply @ (double_divide @ X0 @ X2) @ X2)) @
% 64.86/12.37 X1) = (X1))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl5688, zip_derived_cl5263])).
% 64.86/12.37 thf(zip_derived_cl3, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X1) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X2 @ X0) @ X1)))
% 64.86/12.37 = (X0))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl5807, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X0) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @ X0))
% 64.86/12.37 = (multiply @ (double_divide @ X2 @ X1) @ X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl5746, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl7182, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ (double_divide @ X3 @ X1)) @
% 64.86/12.37 (multiply @ (double_divide @ X1 @ X0) @ X0))
% 64.86/12.37 = (multiply @ (double_divide @ X3 @ X2) @ X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl1232, zip_derived_cl5807])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl7248, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ (multiply @ X1 @ X3) @
% 64.86/12.37 (multiply @ (double_divide @ X1 @ X0) @ X0))
% 64.86/12.37 = (multiply @ (double_divide @ X3 @ X2) @ X2))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl7182, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl5746, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ X0 @ (multiply @ (double_divide @ X0 @ X2) @ X2)) @
% 64.86/12.37 X1) = (X1))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl5688, zip_derived_cl5263])).
% 64.86/12.37 thf(zip_derived_cl7396, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ X2 @
% 64.86/12.37 (double_divide @ (multiply @ X1 @ X2) @
% 64.86/12.37 (multiply @ (double_divide @ X1 @ X0) @ X0))) @
% 64.86/12.37 X3) = (X3))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl7248, zip_derived_cl5746])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl507, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X1 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl267, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ X0 @
% 64.86/12.37 (double_divide @ (inverse @ X2) @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X0 @ X3)) @
% 64.86/12.37 (multiply @ X1 @ X2))))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl644, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((double_divide @ X0 @ (double_divide @ (inverse @ X2) @ X0))
% 64.86/12.37 = (double_divide @ X1 @ (double_divide @ (inverse @ X2) @ X1)))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl507, zip_derived_cl267])).
% 64.86/12.37 thf(zip_derived_cl931, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ X3 @ (double_divide @ (multiply @ X1 @ X0) @ X3))
% 64.86/12.37 = (double_divide @ X2 @
% 64.86/12.37 (double_divide @ (inverse @ (double_divide @ X0 @ X1)) @ X2)))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl644])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl945, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ X3 @ (double_divide @ (multiply @ X1 @ X0) @ X3))
% 64.86/12.37 = (double_divide @ X2 @ (double_divide @ (multiply @ X1 @ X0) @ X2)))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl931, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl2259, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 64.86/12.37 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 64.86/12.37 = (double_divide @ X1 @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (multiply @ (double_divide @ X4 @ (double_divide @ X3 @ X4)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X3 @ (double_divide @ (inverse @ X2) @ X0)) @
% 64.86/12.37 X2)) @
% 64.86/12.37 X1)))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl945])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl2293, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X5 : $i]:
% 64.86/12.37 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 64.86/12.37 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl2259, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl5746, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ X0 @ (multiply @ (double_divide @ X0 @ X2) @ X2)) @
% 64.86/12.37 X1) = (X1))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl5688, zip_derived_cl5263])).
% 64.86/12.37 thf(zip_derived_cl5851, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ X3 @
% 64.86/12.37 (multiply @ (double_divide @ X0 @ (double_divide @ X1 @ X0)) @
% 64.86/12.37 (double_divide @ X1 @ X3))) @
% 64.86/12.37 X2) = (X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl2293, zip_derived_cl5746])).
% 64.86/12.37 thf(zip_derived_cl7738, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ X0 @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @ X0)) @
% 64.86/12.37 X3) = (X3))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl7396, zip_derived_cl5851])).
% 64.86/12.37 thf(zip_derived_cl8522, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (double_divide @ (inverse @ X2) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X3 @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (multiply @ X5 @ (multiply @ (double_divide @ X5 @ X4) @ X4)) @
% 64.86/12.37 X3)) @
% 64.86/12.37 (multiply @ X0 @ X2))) @
% 64.86/12.37 X0) @
% 64.86/12.37 X1) = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl7738])).
% 64.86/12.37 thf(zip_derived_cl7738, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ X0 @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @ X0)) @
% 64.86/12.37 X3) = (X3))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl7396, zip_derived_cl5851])).
% 64.86/12.37 thf(zip_derived_cl8569, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (double_divide @ (inverse @ X2) @ (multiply @ X0 @ X2)) @ X0) @
% 64.86/12.37 X1) = (X1))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl8522, zip_derived_cl7738])).
% 64.86/12.37 thf(zip_derived_cl8569, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (double_divide @ (inverse @ X2) @ (multiply @ X0 @ X2)) @ X0) @
% 64.86/12.37 X1) = (X1))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl8522, zip_derived_cl7738])).
% 64.86/12.37 thf(zip_derived_cl7396, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ X2 @
% 64.86/12.37 (double_divide @ (multiply @ X1 @ X2) @
% 64.86/12.37 (multiply @ (double_divide @ X1 @ X0) @ X0))) @
% 64.86/12.37 X3) = (X3))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl7248, zip_derived_cl5746])).
% 64.86/12.37 thf(zip_derived_cl2293, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X5 : $i]:
% 64.86/12.37 ((double_divide @ X5 @ (double_divide @ X0 @ X5))
% 64.86/12.37 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl2259, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl1232, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X0 @ X5) @ X5)
% 64.86/12.37 = (multiply @ (double_divide @ X0 @ X1) @ X1))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl1202, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl2328, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X2 @ X3) @ X3)
% 64.86/12.37 = (multiply @ (double_divide @ X0 @ (double_divide @ X1 @ X0)) @
% 64.86/12.37 (double_divide @ X1 @ X2)))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl2293, zip_derived_cl1232])).
% 64.86/12.37 thf(zip_derived_cl7736, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X0 @ X3) @ X3)
% 64.86/12.37 = (double_divide @
% 64.86/12.37 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @
% 64.86/12.37 X0))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl7396, zip_derived_cl2328])).
% 64.86/12.37 thf(zip_derived_cl8569, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (double_divide @ (inverse @ X2) @ (multiply @ X0 @ X2)) @ X0) @
% 64.86/12.37 X1) = (X1))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl8522, zip_derived_cl7738])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl645, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ (inverse @ X2) @ X0) @ X0)
% 64.86/12.37 = (inverse @
% 64.86/12.37 (double_divide @ X1 @ (double_divide @ (inverse @ X2) @ X1))))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl507, zip_derived_cl281])).
% 64.86/12.37 thf(zip_derived_cl714, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ (inverse @ (double_divide @ X0 @ X1)) @ X3) @ X3)
% 64.86/12.37 = (inverse @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (multiply @ X1 @ X0) @ X2))))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl645])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl719, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ (multiply @ X1 @ X0) @ X3) @ X3)
% 64.86/12.37 = (inverse @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (multiply @ X1 @ X0) @ X2))))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl714, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl1683, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (multiply @ (double_divide @ X4 @ (double_divide @ X3 @ X4)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X3 @ (double_divide @ (inverse @ X2) @ X0)) @ X2)) @
% 64.86/12.37 X5) @
% 64.86/12.37 X5) = (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1))))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl719])).
% 64.86/12.37 thf(zip_derived_cl102, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X2 @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 64.86/12.37 = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 64.86/12.37 thf(zip_derived_cl1701, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X0 @ X5) @ X5)
% 64.86/12.37 = (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1))))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl1683, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl8636, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((X0)
% 64.86/12.37 = (inverse @
% 64.86/12.37 (double_divide @ X1 @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (double_divide @ (inverse @ X2) @ (multiply @ X0 @ X2)) @ X1))))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl8569, zip_derived_cl1701])).
% 64.86/12.37 thf(zip_derived_cl7736, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X0 @ X3) @ X3)
% 64.86/12.37 = (double_divide @
% 64.86/12.37 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @
% 64.86/12.37 X0))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl7396, zip_derived_cl2328])).
% 64.86/12.37 thf(zip_derived_cl1258, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X1 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X1 @ X0) @ X0)) @
% 64.86/12.37 (inverse @ X2)) = (inverse @ X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl1232, zip_derived_cl6])).
% 64.86/12.37 thf(zip_derived_cl9350, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @ X5 @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (multiply @ X4 @ (multiply @ (double_divide @ X4 @ X3) @ X3)) @
% 64.86/12.37 X5)) @
% 64.86/12.37 (multiply @ (multiply @ (double_divide @ X1 @ X0) @ X0) @ X1)) @
% 64.86/12.37 (inverse @ X2)) = (inverse @ X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl7736, zip_derived_cl1258])).
% 64.86/12.37 thf(zip_derived_cl7736, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X0 @ X3) @ X3)
% 64.86/12.37 = (double_divide @
% 64.86/12.37 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @
% 64.86/12.37 X0))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl7396, zip_derived_cl2328])).
% 64.86/12.37 thf(zip_derived_cl5746, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @ X0 @ (multiply @ (double_divide @ X0 @ X2) @ X2)) @
% 64.86/12.37 X1) = (X1))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl5688, zip_derived_cl5263])).
% 64.86/12.37 thf(zip_derived_cl9688, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ (multiply @ (double_divide @ X1 @ X0) @ X0) @ X1) @
% 64.86/12.37 (inverse @ X2)) = (inverse @ X2))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl9350, zip_derived_cl7736, zip_derived_cl5746])).
% 64.86/12.37 thf(zip_derived_cl9868, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ (multiply @ (double_divide @ X3 @ X4) @ X4) @ X3) @ X0)
% 64.86/12.37 = (inverse @
% 64.86/12.37 (double_divide @ X1 @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (double_divide @ (inverse @ X2) @ (multiply @ X0 @ X2)) @ X1))))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl8636, zip_derived_cl9688])).
% 64.86/12.37 thf(zip_derived_cl8636, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((X0)
% 64.86/12.37 = (inverse @
% 64.86/12.37 (double_divide @ X1 @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (double_divide @ (inverse @ X2) @ (multiply @ X0 @ X2)) @ X1))))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl8569, zip_derived_cl1701])).
% 64.86/12.37 thf(zip_derived_cl9916, plain,
% 64.86/12.37 (![X0 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ (multiply @ (double_divide @ X3 @ X4) @ X4) @ X3) @ X0)
% 64.86/12.37 = (X0))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl9868, zip_derived_cl8636])).
% 64.86/12.37 thf(zip_derived_cl10001, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @
% 64.86/12.37 (multiply @ (multiply @ (double_divide @ X1 @ X0) @ X0) @ X1) @
% 64.86/12.37 (multiply @ X4 @ (multiply @ (double_divide @ X4 @ X3) @ X3))) @
% 64.86/12.37 X2) = (X2))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl7736, zip_derived_cl9916])).
% 64.86/12.37 thf(zip_derived_cl9916, plain,
% 64.86/12.37 (![X0 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ (multiply @ (double_divide @ X3 @ X4) @ X4) @ X3) @ X0)
% 64.86/12.37 = (X0))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl9868, zip_derived_cl8636])).
% 64.86/12.37 thf(zip_derived_cl10014, plain,
% 64.86/12.37 (![X2 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ X4 @ (multiply @ (double_divide @ X4 @ X3) @ X3)) @ X2)
% 64.86/12.37 = (X2))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl10001, zip_derived_cl9916])).
% 64.86/12.37 thf(zip_derived_cl7248, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((double_divide @ (multiply @ X1 @ X3) @
% 64.86/12.37 (multiply @ (double_divide @ X1 @ X0) @ X0))
% 64.86/12.37 = (multiply @ (double_divide @ X3 @ X2) @ X2))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl7182, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl7454, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (multiply @ (double_divide @ X3 @ X2) @ X2) @
% 64.86/12.37 (multiply @ X3 @ X1))
% 64.86/12.37 = (inverse @ (multiply @ (double_divide @ X1 @ X0) @ X0)))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl7248, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl10053, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (multiply @ X3 @ (multiply @ (double_divide @ X3 @ X2) @ X2)) @ X4) @
% 64.86/12.37 X4) @
% 64.86/12.37 X0) = (inverse @ (multiply @ (double_divide @ X0 @ X1) @ X1)))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl10014, zip_derived_cl7454])).
% 64.86/12.37 thf(zip_derived_cl7736, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X0 @ X3) @ X3)
% 64.86/12.37 = (double_divide @
% 64.86/12.37 (multiply @ X2 @ (multiply @ (double_divide @ X2 @ X1) @ X1)) @
% 64.86/12.37 X0))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl7396, zip_derived_cl2328])).
% 64.86/12.37 thf(zip_derived_cl9916, plain,
% 64.86/12.37 (![X0 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ (multiply @ (double_divide @ X3 @ X4) @ X4) @ X3) @ X0)
% 64.86/12.37 = (X0))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl9868, zip_derived_cl8636])).
% 64.86/12.37 thf(zip_derived_cl10128, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((X0) = (inverse @ (multiply @ (double_divide @ X0 @ X1) @ X1)))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl10053, zip_derived_cl7736, zip_derived_cl9916])).
% 64.86/12.37 thf(zip_derived_cl10190, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X1) @ (multiply @ X0 @ X1))
% 64.86/12.37 = (inverse @ X0))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl8569, zip_derived_cl10128])).
% 64.86/12.37 thf(zip_derived_cl10228, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl8569, zip_derived_cl10190])).
% 64.86/12.37 thf(zip_derived_cl10014, plain,
% 64.86/12.37 (![X2 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ X4 @ (multiply @ (double_divide @ X4 @ X3) @ X3)) @ X2)
% 64.86/12.37 = (X2))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl10001, zip_derived_cl9916])).
% 64.86/12.37 thf(zip_derived_cl10493, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl10228, zip_derived_cl10014])).
% 64.86/12.37 thf(zip_derived_cl11191, plain,
% 64.86/12.37 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 64.86/12.37 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 64.86/12.37 | ((a2) != (a2))
% 64.86/12.37 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl10493])).
% 64.86/12.37 thf(zip_derived_cl11192, plain,
% 64.86/12.37 ((((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))
% 64.86/12.37 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 64.86/12.37 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 64.86/12.37 inference('simplify', [status(thm)], [zip_derived_cl11191])).
% 64.86/12.37 thf(zip_derived_cl487, plain,
% 64.86/12.37 (![X0 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X6 @ (double_divide @ X5 @ X6)) @ X0)
% 64.86/12.37 = (multiply @ (double_divide @ X4 @ (double_divide @ X5 @ X4)) @ X0))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl460, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl6, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ (double_divide @ X3 @ (double_divide @ X2 @ X3)) @
% 64.86/12.37 (multiply @ (double_divide @ X2 @ X0) @ X1)) @
% 64.86/12.37 (inverse @ X1)) = (inverse @ X0))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl504, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ (double_divide @ X4 @ (double_divide @ X3 @ X4)) @
% 64.86/12.37 (multiply @ (double_divide @ X1 @ (double_divide @ X2 @ X1)) @ X0)) @
% 64.86/12.37 (inverse @ X0)) = (inverse @ (double_divide @ X2 @ X3)))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl6])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl568, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (multiply @ (double_divide @ X4 @ (double_divide @ X3 @ X4)) @
% 64.86/12.37 (multiply @ (double_divide @ X1 @ (double_divide @ X2 @ X1)) @ X0)) @
% 64.86/12.37 (inverse @ X0)) = (multiply @ X3 @ X2))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl504, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl1701, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X0 @ X5) @ X5)
% 64.86/12.37 = (inverse @ (double_divide @ X1 @ (double_divide @ X0 @ X1))))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl1683, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl8569, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (double_divide @ (inverse @ X2) @ (multiply @ X0 @ X2)) @ X0) @
% 64.86/12.37 X1) = (X1))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl8522, zip_derived_cl7738])).
% 64.86/12.37 thf(zip_derived_cl1232, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X5 : $i]:
% 64.86/12.37 ((multiply @ (double_divide @ X0 @ X5) @ X5)
% 64.86/12.37 = (multiply @ (double_divide @ X0 @ X1) @ X1))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl1202, zip_derived_cl102])).
% 64.86/12.37 thf(zip_derived_cl8635, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((X0)
% 64.86/12.37 = (multiply @
% 64.86/12.37 (double_divide @
% 64.86/12.37 (double_divide @ (inverse @ X2) @ (multiply @ X0 @ X2)) @ X1) @
% 64.86/12.37 X1))),
% 64.86/12.37 inference('sup+', [status(thm)], [zip_derived_cl8569, zip_derived_cl1232])).
% 64.86/12.37 thf(zip_derived_cl10190, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X1) @ (multiply @ X0 @ X1))
% 64.86/12.37 = (inverse @ X0))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl8569, zip_derived_cl10128])).
% 64.86/12.37 thf(zip_derived_cl10229, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((X0) = (multiply @ (double_divide @ (inverse @ X0) @ X1) @ X1))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl8635, zip_derived_cl10190])).
% 64.86/12.37 thf(zip_derived_cl10190, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((double_divide @ (inverse @ X1) @ (multiply @ X0 @ X1))
% 64.86/12.37 = (inverse @ X0))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl8569, zip_derived_cl10128])).
% 64.86/12.37 thf(zip_derived_cl10229, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((X0) = (multiply @ (double_divide @ (inverse @ X0) @ X1) @ X1))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl8635, zip_derived_cl10190])).
% 64.86/12.37 thf(zip_derived_cl10641, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((X1) = (multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl10190, zip_derived_cl10229])).
% 64.86/12.37 thf(zip_derived_cl11302, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((X1)
% 64.86/12.37 = (multiply @ (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl10229, zip_derived_cl10641])).
% 64.86/12.37 thf(zip_derived_cl1, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 64.86/12.37 inference('cnf', [status(esa)], [multiply])).
% 64.86/12.37 thf(zip_derived_cl11357, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((X1) = (multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl11302, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl10493, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl10228, zip_derived_cl10014])).
% 64.86/12.37 thf(zip_derived_cl11418, plain,
% 64.86/12.37 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl11357, zip_derived_cl10493])).
% 64.86/12.37 thf(zip_derived_cl11533, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((inverse @ (multiply @ (double_divide @ X1 @ X0) @ X0))
% 64.86/12.37 = (double_divide @ X2 @ (double_divide @ X1 @ X2)))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl1701, zip_derived_cl11418])).
% 64.86/12.37 thf(zip_derived_cl10128, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((X0) = (inverse @ (multiply @ (double_divide @ X0 @ X1) @ X1)))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl10053, zip_derived_cl7736, zip_derived_cl9916])).
% 64.86/12.37 thf(zip_derived_cl11543, plain,
% 64.86/12.37 (![X1 : $i, X2 : $i]:
% 64.86/12.37 ((X1) = (double_divide @ X2 @ (double_divide @ X1 @ X2)))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl11533, zip_derived_cl10128])).
% 64.86/12.37 thf(zip_derived_cl11543, plain,
% 64.86/12.37 (![X1 : $i, X2 : $i]:
% 64.86/12.37 ((X1) = (double_divide @ X2 @ (double_divide @ X1 @ X2)))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl11533, zip_derived_cl10128])).
% 64.86/12.37 thf(zip_derived_cl13507, plain,
% 64.86/12.37 (![X0 : $i, X2 : $i, X3 : $i]:
% 64.86/12.37 ((multiply @ (multiply @ X3 @ (multiply @ X2 @ X0)) @ (inverse @ X0))
% 64.86/12.37 = (multiply @ X3 @ X2))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl568, zip_derived_cl11543, zip_derived_cl11543])).
% 64.86/12.37 thf(zip_derived_cl11357, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((X1) = (multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl11302, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl13515, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 64.86/12.37 ((multiply @ X1 @ (multiply @ X0 @ X2))
% 64.86/12.37 = (multiply @ (multiply @ X1 @ X0) @ X2))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl13507, zip_derived_cl11357])).
% 64.86/12.37 thf(zip_derived_cl16871, plain,
% 64.86/12.37 ((((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))
% 64.86/12.37 | ((multiply @ a3 @ (multiply @ b3 @ c3))
% 64.86/12.37 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 64.86/12.37 inference('demod', [status(thm)],
% 64.86/12.37 [zip_derived_cl11192, zip_derived_cl13515])).
% 64.86/12.37 thf(zip_derived_cl16872, plain,
% 64.86/12.37 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 64.86/12.37 inference('simplify', [status(thm)], [zip_derived_cl16871])).
% 64.86/12.37 thf(zip_derived_cl10493, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl10228, zip_derived_cl10014])).
% 64.86/12.37 thf(zip_derived_cl11357, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((X1) = (multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0))),
% 64.86/12.37 inference('demod', [status(thm)], [zip_derived_cl11302, zip_derived_cl1])).
% 64.86/12.37 thf(zip_derived_cl11440, plain,
% 64.86/12.37 (![X0 : $i, X1 : $i]:
% 64.86/12.37 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 64.86/12.37 inference('sup+', [status(thm)],
% 64.86/12.37 [zip_derived_cl10493, zip_derived_cl11357])).
% 64.86/12.37 thf(zip_derived_cl16873, plain, ($false),
% 64.86/12.37 inference('simplify_reflect+', [status(thm)],
% 64.86/12.37 [zip_derived_cl16872, zip_derived_cl11440])).
% 64.86/12.37
% 64.86/12.37 % SZS output end Refutation
% 64.86/12.37
% 64.86/12.37
% 64.86/12.37 % Terminating...
% 65.07/12.53 % Runner terminated.
% 65.12/12.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------