TSTP Solution File: GRP429-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP429-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.n8X4pTMzQ7 true
% Computer : n013.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 01:51:37 EDT 2023
% Result : Unsatisfiable 60.41s 9.31s
% Output : Refutation 60.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP429-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.n8X4pTMzQ7 true
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 00:44:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.48/0.69 % Total configuration time : 435
% 0.48/0.69 % Estimated wc time : 1092
% 0.48/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 60.41/9.31 % Solved by fo/fo7.sh.
% 60.41/9.31 % done 1513 iterations in 8.490s
% 60.41/9.31 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 60.41/9.31 % SZS output start Refutation
% 60.41/9.31 thf(inverse_type, type, inverse: $i > $i).
% 60.41/9.31 thf(a3_type, type, a3: $i).
% 60.41/9.31 thf(b3_type, type, b3: $i).
% 60.41/9.31 thf(multiply_type, type, multiply: $i > $i > $i).
% 60.41/9.31 thf(c3_type, type, c3: $i).
% 60.41/9.31 thf(prove_these_axioms_3, conjecture,
% 60.41/9.31 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 60.41/9.31 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 60.41/9.31 thf(zf_stmt_0, negated_conjecture,
% 60.41/9.31 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 60.41/9.31 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 60.41/9.31 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 60.41/9.31 thf(zip_derived_cl1, plain,
% 60.41/9.31 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 60.41/9.31 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 60.41/9.31 inference('cnf', [status(esa)], [zf_stmt_0])).
% 60.41/9.31 thf(single_axiom, axiom,
% 60.41/9.31 (( multiply @
% 60.41/9.31 A @
% 60.41/9.31 ( inverse @
% 60.41/9.31 ( multiply @
% 60.41/9.31 ( multiply @
% 60.41/9.31 ( inverse @
% 60.41/9.31 ( multiply @
% 60.41/9.31 ( inverse @ B ) @ ( multiply @ ( inverse @ A ) @ C ) ) ) @
% 60.41/9.31 D ) @
% 60.41/9.31 ( inverse @ ( multiply @ B @ D ) ) ) ) ) =
% 60.41/9.31 ( C ))).
% 60.41/9.31 thf(zip_derived_cl0, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X0))) @
% 60.41/9.31 X3) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X3)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('cnf', [status(esa)], [single_axiom])).
% 60.41/9.31 thf(zip_derived_cl0, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X0))) @
% 60.41/9.31 X3) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X3)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('cnf', [status(esa)], [single_axiom])).
% 60.41/9.31 thf(zip_derived_cl3, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X5) @ X0)) @ X4) @
% 60.41/9.31 (inverse @ (multiply @ X5 @ X4)))))
% 60.41/9.31 = (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @
% 60.41/9.31 (multiply @ (inverse @ (inverse @ X3)) @ X0))) @
% 60.41/9.31 X1) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X1)))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl0, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X0))) @
% 60.41/9.31 X3) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X3)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('cnf', [status(esa)], [single_axiom])).
% 60.41/9.31 thf(zip_derived_cl64, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X2)) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ X1 @ X0))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl3, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X5) @ X0)) @ X4) @
% 60.41/9.31 (inverse @ (multiply @ X5 @ X4)))))
% 60.41/9.31 = (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @
% 60.41/9.31 (multiply @ (inverse @ (inverse @ X3)) @ X0))) @
% 60.41/9.31 X1) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X1)))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl0, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X0))) @
% 60.41/9.31 X3) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X3)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('cnf', [status(esa)], [single_axiom])).
% 60.41/9.31 thf(zip_derived_cl74, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X1) @
% 60.41/9.31 (multiply @ (inverse @ (inverse @ X3)) @
% 60.41/9.31 (multiply @ (inverse @ X3) @ X2)))) @
% 60.41/9.31 X0) @
% 60.41/9.31 (inverse @ (multiply @ X1 @ X0))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl64, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X2)) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ X1 @ X0))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl217, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X0))
% 60.41/9.31 = (multiply @ (inverse @ (inverse @ X1)) @
% 60.41/9.31 (multiply @ (inverse @ X1) @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl217, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X0))
% 60.41/9.31 = (multiply @ (inverse @ (inverse @ X1)) @
% 60.41/9.31 (multiply @ (inverse @ X1) @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl283, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0))
% 60.41/9.31 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl217])).
% 60.41/9.31 thf(zip_derived_cl283, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0))
% 60.41/9.31 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl217])).
% 60.41/9.31 thf(zip_derived_cl0, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X0))) @
% 60.41/9.31 X3) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X3)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('cnf', [status(esa)], [single_axiom])).
% 60.41/9.31 thf(zip_derived_cl384, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0))) @
% 60.41/9.31 X2) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X3) @ X2)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl717, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X4) @ (multiply @ X4 @ X2))) @
% 60.41/9.31 (multiply @ X3 @ X0)) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl384])).
% 60.41/9.31 thf(zip_derived_cl5044, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (multiply @ (inverse @ X5) @ (multiply @ X5 @ X1)) @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ X0 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X4) @
% 60.41/9.31 (multiply @ X4 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X3) @ X0)) @ X2) @
% 60.41/9.31 (inverse @ (multiply @ X3 @ X2))))))))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl717])).
% 60.41/9.31 thf(zip_derived_cl64, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X2)) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ X1 @ X0))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl5138, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (multiply @ (inverse @ X5) @ (multiply @ X5 @ X1)) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)], [zip_derived_cl5044, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl283, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0))
% 60.41/9.31 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl217])).
% 60.41/9.31 thf(zip_derived_cl283, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0))
% 60.41/9.31 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl217])).
% 60.41/9.31 thf(zip_derived_cl366, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @ (multiply @ X3 @ (multiply @ X2 @ X0)))
% 60.41/9.31 = (multiply @ (inverse @ (inverse @ X2)) @
% 60.41/9.31 (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl283])).
% 60.41/9.31 thf(zip_derived_cl5138, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (multiply @ (inverse @ X5) @ (multiply @ X5 @ X1)) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)], [zip_derived_cl5044, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl5222, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @
% 60.41/9.31 (multiply @ (inverse @ (inverse @ X2)) @
% 60.41/9.31 (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0))) @
% 60.41/9.31 (inverse @ (multiply @ X3 @ (inverse @ X3)))) = (multiply @ X2 @ X0))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl366, zip_derived_cl5138])).
% 60.41/9.31 thf(zip_derived_cl5982, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @
% 60.41/9.31 (multiply @ (inverse @ (inverse @ X2)) @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X4) @ (multiply @ X4 @ X0))) @
% 60.41/9.31 X0)) @
% 60.41/9.31 (inverse @ (multiply @ X3 @ (inverse @ X3))))
% 60.41/9.31 = (multiply @ X2 @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl5138, zip_derived_cl5222])).
% 60.41/9.31 thf(zip_derived_cl5138, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (multiply @ (inverse @ X5) @ (multiply @ X5 @ X1)) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)], [zip_derived_cl5044, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl74, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X1) @
% 60.41/9.31 (multiply @ (inverse @ (inverse @ X3)) @
% 60.41/9.31 (multiply @ (inverse @ X3) @ X2)))) @
% 60.41/9.31 X0) @
% 60.41/9.31 (inverse @ (multiply @ X1 @ X0))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl74, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X1) @
% 60.41/9.31 (multiply @ (inverse @ (inverse @ X3)) @
% 60.41/9.31 (multiply @ (inverse @ X3) @ X2)))) @
% 60.41/9.31 X0) @
% 60.41/9.31 (inverse @ (multiply @ X1 @ X0))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl237, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 60.41/9.31 ((inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X5) @
% 60.41/9.31 (multiply @ (inverse @ (inverse @ X6)) @
% 60.41/9.31 (multiply @ (inverse @ X6) @ X0)))) @
% 60.41/9.31 X4) @
% 60.41/9.31 (inverse @ (multiply @ X5 @ X4))))) @
% 60.41/9.31 (multiply @ X0 @ X1)))) @
% 60.41/9.31 X2) @
% 60.41/9.31 (inverse @ (multiply @ X3 @ X2))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl74])).
% 60.41/9.31 thf(zip_derived_cl3, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X5) @ X0)) @ X4) @
% 60.41/9.31 (inverse @ (multiply @ X5 @ X4)))))
% 60.41/9.31 = (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @
% 60.41/9.31 (multiply @ (inverse @ (inverse @ X3)) @ X0))) @
% 60.41/9.31 X1) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X1)))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl0, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X0))) @
% 60.41/9.31 X3) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X3)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('cnf', [status(esa)], [single_axiom])).
% 60.41/9.31 thf(zip_derived_cl248, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)))) @
% 60.41/9.31 X2) @
% 60.41/9.31 (inverse @ (multiply @ X3 @ X2))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl237, zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl64, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X2)) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ X1 @ X0))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl0, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X0))) @
% 60.41/9.31 X3) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X3)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('cnf', [status(esa)], [single_axiom])).
% 60.41/9.31 thf(zip_derived_cl155, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ X4 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X0) @ X3) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X4) @ X3)))))
% 60.41/9.31 = (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X0)) @ X1) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X1)))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl366, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @ (multiply @ X3 @ (multiply @ X2 @ X0)))
% 60.41/9.31 = (multiply @ (inverse @ (inverse @ X2)) @
% 60.41/9.31 (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl283])).
% 60.41/9.31 thf(zip_derived_cl1108, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X6) @
% 60.41/9.31 (multiply @ X6 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X2)) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ X1 @ X0))))))
% 60.41/9.31 = (multiply @ (inverse @ (inverse @ X4)) @
% 60.41/9.31 (multiply @ (inverse @ X5) @
% 60.41/9.31 (multiply @ X5 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X4) @ X3))))))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl366])).
% 60.41/9.31 thf(zip_derived_cl64, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X2)) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ X1 @ X0))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl1251, plain,
% 60.41/9.31 (![X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 60.41/9.31 ((X2)
% 60.41/9.31 = (multiply @ (inverse @ (inverse @ X4)) @
% 60.41/9.31 (multiply @ (inverse @ X5) @
% 60.41/9.31 (multiply @ X5 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X2) @ X3) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X4) @ X3))))))))),
% 60.41/9.31 inference('demod', [status(thm)], [zip_derived_cl1108, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl3045, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 60.41/9.31 ((X5)
% 60.41/9.31 = (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ (inverse @ X4) @ (multiply @ X4 @ X0)))) @
% 60.41/9.31 X2) @
% 60.41/9.31 (inverse @ (multiply @ X3 @ X2))))) @
% 60.41/9.31 (multiply @ (inverse @ X6) @
% 60.41/9.31 (multiply @ X6 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X5) @ X1) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ X1))))))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl1251])).
% 60.41/9.31 thf(zip_derived_cl155, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ X4 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X0) @ X3) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X4) @ X3)))))
% 60.41/9.31 = (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X0)) @ X1) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X1)))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl384, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0))) @
% 60.41/9.31 X2) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X3) @ X2)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl3097, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X5 : $i, X6 : $i]:
% 60.41/9.31 ((X5)
% 60.41/9.31 = (multiply @ (inverse @ X0) @
% 60.41/9.31 (multiply @ (inverse @ X6) @
% 60.41/9.31 (multiply @ X6 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X5) @ X1) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ X1))))))))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl3045, zip_derived_cl155, zip_derived_cl384])).
% 60.41/9.31 thf(zip_derived_cl5202, plain,
% 60.41/9.31 (![X0 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((X2)
% 60.41/9.31 = (multiply @ (inverse @ (inverse @ X2)) @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X3) @ (multiply @ X3 @ X0))) @
% 60.41/9.31 X0)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl5138, zip_derived_cl3097])).
% 60.41/9.31 thf(zip_derived_cl6030, plain,
% 60.41/9.31 (![X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X2 @ (inverse @ (multiply @ X3 @ (inverse @ X3))))
% 60.41/9.31 = (multiply @ X2 @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl5982, zip_derived_cl5202])).
% 60.41/9.31 thf(zip_derived_cl0, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X0))) @
% 60.41/9.31 X3) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X3)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('cnf', [status(esa)], [single_axiom])).
% 60.41/9.31 thf(zip_derived_cl6121, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X4) @
% 60.41/9.31 (multiply @ (inverse @ X1) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))))) @
% 60.41/9.31 X3) @
% 60.41/9.31 (inverse @ (multiply @ X4 @ X3)))))
% 60.41/9.31 = (inverse @ (multiply @ X2 @ (inverse @ X2))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl6030, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl155, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ X4 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X0) @ X3) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X4) @ X3)))))
% 60.41/9.31 = (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X0)) @ X1) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X1)))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl155, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ X4 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X0) @ X3) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X4) @ X3)))))
% 60.41/9.31 = (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X0)) @ X1) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X1)))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl0, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X0))) @
% 60.41/9.31 X3) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X3)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('cnf', [status(esa)], [single_axiom])).
% 60.41/9.31 thf(zip_derived_cl1081, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X3) @ X2)) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X1) @ X0))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl6320, plain,
% 60.41/9.31 (![X0 : $i, X2 : $i]:
% 60.41/9.31 ((inverse @ (multiply @ X0 @ (inverse @ X0)))
% 60.41/9.31 = (inverse @ (multiply @ X2 @ (inverse @ X2))))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl6121, zip_derived_cl155, zip_derived_cl1081])).
% 60.41/9.31 thf(zip_derived_cl283, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0))
% 60.41/9.31 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl217])).
% 60.41/9.31 thf(zip_derived_cl6337, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ (multiply @ X0 @ (inverse @ X0))) @
% 60.41/9.31 (multiply @ (multiply @ X3 @ (inverse @ X3)) @ X1))
% 60.41/9.31 = (multiply @ (inverse @ X2) @ (multiply @ X2 @ X1)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl6320, zip_derived_cl283])).
% 60.41/9.31 thf(zip_derived_cl0, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X0))) @
% 60.41/9.31 X3) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X3)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('cnf', [status(esa)], [single_axiom])).
% 60.41/9.31 thf(zip_derived_cl9432, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (multiply @ X5 @ (inverse @ X5)) @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X4) @
% 60.41/9.31 (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))) @
% 60.41/9.31 X3) @
% 60.41/9.31 (inverse @ (multiply @ X4 @ X3)))))
% 60.41/9.31 = (multiply @ (multiply @ X2 @ (inverse @ X2)) @ X0))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl6337, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl155, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ X4 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X0) @ X3) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X4) @ X3)))))
% 60.41/9.31 = (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X0)) @ X1) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X1)))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl384, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0))) @
% 60.41/9.31 X2) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X3) @ X2)))))
% 60.41/9.31 = (X0))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl9767, plain,
% 60.41/9.31 (![X0 : $i, X2 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (multiply @ X5 @ (inverse @ X5)) @ X0)
% 60.41/9.31 = (multiply @ (multiply @ X2 @ (inverse @ X2)) @ X0))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl9432, zip_derived_cl155, zip_derived_cl384])).
% 60.41/9.31 thf(zip_derived_cl6320, plain,
% 60.41/9.31 (![X0 : $i, X2 : $i]:
% 60.41/9.31 ((inverse @ (multiply @ X0 @ (inverse @ X0)))
% 60.41/9.31 = (inverse @ (multiply @ X2 @ (inverse @ X2))))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl6121, zip_derived_cl155, zip_derived_cl1081])).
% 60.41/9.31 thf(zip_derived_cl1081, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X3) @ X2)) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X1) @ X0))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl6433, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X3) @ X1) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl6320, zip_derived_cl1081])).
% 60.41/9.31 thf(zip_derived_cl9900, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ X2 @
% 60.41/9.31 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))))
% 60.41/9.31 = (inverse @ (inverse @ X2)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl9767, zip_derived_cl6433])).
% 60.41/9.31 thf(zip_derived_cl155, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ X4 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X0) @ X3) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X4) @ X3)))))
% 60.41/9.31 = (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X0)) @ X1) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X1)))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl64, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X2)) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ X1 @ X0))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl1087, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X5) @
% 60.41/9.31 (multiply @ X5 @
% 60.41/9.31 (multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X2) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X1) @ X0)))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl10156, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X0) @ (inverse @ (inverse @ X0)))
% 60.41/9.31 = (multiply @ X1 @ (inverse @ X1)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl9900, zip_derived_cl1087])).
% 60.41/9.31 thf(zip_derived_cl10156, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X0) @ (inverse @ (inverse @ X0)))
% 60.41/9.31 = (multiply @ X1 @ (inverse @ X1)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl9900, zip_derived_cl1087])).
% 60.41/9.31 thf(zip_derived_cl10625, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl10156, zip_derived_cl10156])).
% 60.41/9.31 thf(zip_derived_cl5138, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (multiply @ (inverse @ X5) @ (multiply @ X5 @ X1)) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)], [zip_derived_cl5044, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl248, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)))) @
% 60.41/9.31 X2) @
% 60.41/9.31 (inverse @ (multiply @ X3 @ X2))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl237, zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl10625, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl10156, zip_derived_cl10156])).
% 60.41/9.31 thf(zip_derived_cl9900, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ X2 @
% 60.41/9.31 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))))
% 60.41/9.31 = (inverse @ (inverse @ X2)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl9767, zip_derived_cl6433])).
% 60.41/9.31 thf(zip_derived_cl10821, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0)))
% 60.41/9.31 = (inverse @ (inverse @ X1)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl10625, zip_derived_cl9900])).
% 60.41/9.31 thf(zip_derived_cl283, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0))
% 60.41/9.31 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl217])).
% 60.41/9.31 thf(zip_derived_cl11154, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ (inverse @ X0)))
% 60.41/9.31 = (inverse @ (inverse @ (inverse @ X0))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl10821, zip_derived_cl283])).
% 60.41/9.31 thf(zip_derived_cl11455, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X0))
% 60.41/9.31 = (inverse @
% 60.41/9.31 (inverse @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @
% 60.41/9.31 (multiply @ (inverse @ X3) @ (multiply @ X3 @ X0)))) @
% 60.41/9.31 X1) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ X1)))))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl11154])).
% 60.41/9.31 thf(zip_derived_cl248, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)))) @
% 60.41/9.31 X2) @
% 60.41/9.31 (inverse @ (multiply @ X3 @ X2))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl237, zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl11488, plain,
% 60.41/9.31 (![X0 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X0))
% 60.41/9.31 = (inverse @ (inverse @ X0)))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11455, zip_derived_cl248])).
% 60.41/9.31 thf(zip_derived_cl11530, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ (inverse @ X1)) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl5138, zip_derived_cl11488])).
% 60.41/9.31 thf(zip_derived_cl6320, plain,
% 60.41/9.31 (![X0 : $i, X2 : $i]:
% 60.41/9.31 ((inverse @ (multiply @ X0 @ (inverse @ X0)))
% 60.41/9.31 = (inverse @ (multiply @ X2 @ (inverse @ X2))))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl6121, zip_derived_cl155, zip_derived_cl1081])).
% 60.41/9.31 thf(zip_derived_cl1087, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X5) @
% 60.41/9.31 (multiply @ X5 @
% 60.41/9.31 (multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X2) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X1) @ X0)))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl6432, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0))))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl6320, zip_derived_cl1087])).
% 60.41/9.31 thf(zip_derived_cl366, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @ (multiply @ X3 @ (multiply @ X2 @ X0)))
% 60.41/9.31 = (multiply @ (inverse @ (inverse @ X2)) @
% 60.41/9.31 (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl283])).
% 60.41/9.31 thf(zip_derived_cl283, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0))
% 60.41/9.31 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl217])).
% 60.41/9.31 thf(zip_derived_cl468, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X4) @
% 60.41/9.31 (multiply @ X4 @ (multiply @ (inverse @ X3) @ (multiply @ X3 @ X0))))
% 60.41/9.31 = (multiply @ (inverse @ (inverse @ (inverse @ X1))) @
% 60.41/9.31 (multiply @ (inverse @ X2) @
% 60.41/9.31 (multiply @ X2 @ (multiply @ X1 @ X0)))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl366, zip_derived_cl283])).
% 60.41/9.31 thf(zip_derived_cl6652, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ (inverse @ (inverse @ X0))) @ X0)
% 60.41/9.31 = (multiply @ (inverse @ (inverse @ (inverse @ X2))) @
% 60.41/9.31 (multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (multiply @ X2 @ (inverse @ (multiply @ X1 @ (inverse @ X1))))))))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl6432, zip_derived_cl468])).
% 60.41/9.31 thf(zip_derived_cl6432, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0))))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl6320, zip_derived_cl1087])).
% 60.41/9.31 thf(zip_derived_cl6785, plain,
% 60.41/9.31 (![X0 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ (inverse @ (inverse @ X0))) @ X0)
% 60.41/9.31 = (multiply @ (inverse @ (inverse @ (inverse @ X2))) @ X2))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl6652, zip_derived_cl6432])).
% 60.41/9.31 thf(zip_derived_cl6433, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X3) @ X1) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl6320, zip_derived_cl1081])).
% 60.41/9.31 thf(zip_derived_cl7164, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ (inverse @ X1)) @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (inverse @ (inverse @ X0))) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ (inverse @ X2)))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl6785, zip_derived_cl6433])).
% 60.41/9.31 thf(zip_derived_cl11664, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ (inverse @ X1)) @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) @
% 60.41/9.31 (inverse @ (multiply @ X2 @ (inverse @ X2)))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl11530, zip_derived_cl7164])).
% 60.41/9.31 thf(zip_derived_cl11530, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ (inverse @ X1)) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl5138, zip_derived_cl11488])).
% 60.41/9.31 thf(zip_derived_cl10821, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0)))
% 60.41/9.31 = (inverse @ (inverse @ X1)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl10625, zip_derived_cl9900])).
% 60.41/9.31 thf(zip_derived_cl11700, plain,
% 60.41/9.31 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11664, zip_derived_cl11530, zip_derived_cl10821])).
% 60.41/9.31 thf(zip_derived_cl11530, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ (inverse @ X1)) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl5138, zip_derived_cl11488])).
% 60.41/9.31 thf(zip_derived_cl11752, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ (inverse @ X1))))
% 60.41/9.31 = (inverse @ (inverse @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl11700, zip_derived_cl11530])).
% 60.41/9.31 thf(zip_derived_cl1087, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X5) @
% 60.41/9.31 (multiply @ X5 @
% 60.41/9.31 (multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X2) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X1) @ X0)))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl11799, plain,
% 60.41/9.31 (![X0 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X2) @
% 60.41/9.31 (multiply @ X2 @ (inverse @ (inverse @ X0)))) = (X0))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl11752, zip_derived_cl1087])).
% 60.41/9.31 thf(zip_derived_cl12033, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ (inverse @ X1)) @
% 60.41/9.31 (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl10625, zip_derived_cl11799])).
% 60.41/9.31 thf(zip_derived_cl1087, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X5) @
% 60.41/9.31 (multiply @ X5 @
% 60.41/9.31 (multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X2) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X1) @ X0)))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl12089, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (multiply @ X2 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ X0 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ X2) @ (multiply @ X1 @ (inverse @ X1)))))))))
% 60.41/9.31 = (inverse @ X0))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12033, zip_derived_cl1087])).
% 60.41/9.31 thf(zip_derived_cl10821, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0)))
% 60.41/9.31 = (inverse @ (inverse @ X1)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl10625, zip_derived_cl9900])).
% 60.41/9.31 thf(zip_derived_cl11700, plain,
% 60.41/9.31 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11664, zip_derived_cl11530, zip_derived_cl10821])).
% 60.41/9.31 thf(zip_derived_cl11488, plain,
% 60.41/9.31 (![X0 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X0))
% 60.41/9.31 = (inverse @ (inverse @ X0)))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11455, zip_derived_cl248])).
% 60.41/9.31 thf(zip_derived_cl12145, plain,
% 60.41/9.31 (![X0 : $i, X2 : $i]:
% 60.41/9.31 ((inverse @
% 60.41/9.31 (inverse @ (multiply @ X2 @ (inverse @ (multiply @ X0 @ X2)))))
% 60.41/9.31 = (inverse @ X0))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl12089, zip_derived_cl10821,
% 60.41/9.31 zip_derived_cl11700, zip_derived_cl11488])).
% 60.41/9.31 thf(zip_derived_cl1087, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X5) @
% 60.41/9.31 (multiply @ X5 @
% 60.41/9.31 (multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X2) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X1) @ X0)))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl12519, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X4) @
% 60.41/9.31 (multiply @ X4 @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X0) @ X2) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X3) @ X2)))))))
% 60.41/9.31 = (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1)))))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12145, zip_derived_cl1087])).
% 60.41/9.31 thf(zip_derived_cl1087, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X5) @
% 60.41/9.31 (multiply @ X5 @
% 60.41/9.31 (multiply @ X1 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X2) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ (inverse @ X1) @ X0)))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl12597, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((X0) = (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1)))))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl12519, zip_derived_cl1087])).
% 60.41/9.31 thf(zip_derived_cl12597, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((X0) = (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X1)))))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl12519, zip_derived_cl1087])).
% 60.41/9.31 thf(zip_derived_cl12650, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((X1) = (inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12597, zip_derived_cl12597])).
% 60.41/9.31 thf(zip_derived_cl11700, plain,
% 60.41/9.31 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11664, zip_derived_cl11530, zip_derived_cl10821])).
% 60.41/9.31 thf(zip_derived_cl12650, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((X1) = (inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12597, zip_derived_cl12597])).
% 60.41/9.31 thf(zip_derived_cl6433, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (multiply @ (multiply @ (inverse @ X3) @ X1) @
% 60.41/9.31 (inverse @ (multiply @ X0 @ (inverse @ X0)))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl6320, zip_derived_cl1081])).
% 60.41/9.31 thf(zip_derived_cl11752, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ (inverse @ X1))))
% 60.41/9.31 = (inverse @ (inverse @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl11700, zip_derived_cl11530])).
% 60.41/9.31 thf(zip_derived_cl11781, plain,
% 60.41/9.31 (![X1 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (inverse @ (inverse @ (multiply @ (inverse @ X3) @ X1)))) = (
% 60.41/9.31 X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl6433, zip_derived_cl11752])).
% 60.41/9.31 thf(zip_derived_cl12757, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12650, zip_derived_cl11781])).
% 60.41/9.31 thf(zip_derived_cl12650, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((X1) = (inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12597, zip_derived_cl12597])).
% 60.41/9.31 thf(zip_derived_cl12827, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((inverse @ X1)
% 60.41/9.31 = (inverse @ (multiply @ (inverse @ X0) @ (multiply @ X0 @ X1))))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12757, zip_derived_cl12650])).
% 60.41/9.31 thf(zip_derived_cl11488, plain,
% 60.41/9.31 (![X0 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X0))
% 60.41/9.31 = (inverse @ (inverse @ X0)))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11455, zip_derived_cl248])).
% 60.41/9.31 thf(zip_derived_cl12867, plain,
% 60.41/9.31 (![X1 : $i]: ((inverse @ X1) = (inverse @ (inverse @ (inverse @ X1))))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl12827, zip_derived_cl11488])).
% 60.41/9.31 thf(zip_derived_cl12870, plain,
% 60.41/9.31 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11700, zip_derived_cl12867])).
% 60.41/9.31 thf(zip_derived_cl12987, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12650, zip_derived_cl12870])).
% 60.41/9.31 thf(zip_derived_cl64, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X2)) @ X0) @
% 60.41/9.31 (inverse @ (multiply @ X1 @ X0))))))
% 60.41/9.31 = (X2))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 60.41/9.31 thf(zip_derived_cl14013, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X3) @
% 60.41/9.31 (multiply @ X3 @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @
% 60.41/9.31 (inverse @
% 60.41/9.31 (multiply @ (inverse @ (inverse @ (multiply @ X2 @ X0))) @ X1)) @
% 60.41/9.31 X2) @
% 60.41/9.31 (inverse @ (inverse @ X0))))))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)], [zip_derived_cl12987, zip_derived_cl64])).
% 60.41/9.31 thf(zip_derived_cl12870, plain,
% 60.41/9.31 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11700, zip_derived_cl12867])).
% 60.41/9.31 thf(zip_derived_cl12870, plain,
% 60.41/9.31 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11700, zip_derived_cl12867])).
% 60.41/9.31 thf(zip_derived_cl11488, plain,
% 60.41/9.31 (![X0 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X0))
% 60.41/9.31 = (inverse @ (inverse @ X0)))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11455, zip_derived_cl248])).
% 60.41/9.31 thf(zip_derived_cl12870, plain,
% 60.41/9.31 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11700, zip_derived_cl12867])).
% 60.41/9.31 thf(zip_derived_cl12949, plain,
% 60.41/9.31 (![X0 : $i, X4 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X4) @ (multiply @ X4 @ X0)) = (X0))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11488, zip_derived_cl12870])).
% 60.41/9.31 thf(zip_derived_cl14104, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((inverse @
% 60.41/9.31 (multiply @
% 60.41/9.31 (multiply @ (inverse @ (multiply @ (multiply @ X2 @ X0) @ X1)) @ X2) @
% 60.41/9.31 X0))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl14013, zip_derived_cl12870,
% 60.41/9.31 zip_derived_cl12870, zip_derived_cl12949])).
% 60.41/9.31 thf(zip_derived_cl12987, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12650, zip_derived_cl12870])).
% 60.41/9.31 thf(zip_derived_cl12870, plain,
% 60.41/9.31 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11700, zip_derived_cl12867])).
% 60.41/9.31 thf(zip_derived_cl12757, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)) = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12650, zip_derived_cl11781])).
% 60.41/9.31 thf(zip_derived_cl12979, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12870, zip_derived_cl12757])).
% 60.41/9.31 thf(zip_derived_cl14024, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X0) @ X1)
% 60.41/9.31 = (inverse @ (multiply @ (inverse @ X1) @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12987, zip_derived_cl12979])).
% 60.41/9.31 thf(zip_derived_cl14024, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X0) @ X1)
% 60.41/9.31 = (inverse @ (multiply @ (inverse @ X1) @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl12987, zip_derived_cl12979])).
% 60.41/9.31 thf(zip_derived_cl12870, plain,
% 60.41/9.31 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11700, zip_derived_cl12867])).
% 60.41/9.31 thf(zip_derived_cl17510, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ (inverse @ X0) @
% 60.41/9.31 (multiply @ (inverse @ X2) @ (multiply @ (multiply @ X2 @ X0) @ X1)))
% 60.41/9.31 = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl14104, zip_derived_cl14024,
% 60.41/9.31 zip_derived_cl14024, zip_derived_cl12870])).
% 60.41/9.31 thf(zip_derived_cl11781, plain,
% 60.41/9.31 (![X1 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X3 @
% 60.41/9.31 (inverse @ (inverse @ (multiply @ (inverse @ X3) @ X1)))) = (
% 60.41/9.31 X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl6433, zip_derived_cl11752])).
% 60.41/9.31 thf(zip_derived_cl12870, plain,
% 60.41/9.31 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11700, zip_derived_cl12867])).
% 60.41/9.31 thf(zip_derived_cl12951, plain,
% 60.41/9.31 (![X1 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X3 @ (multiply @ (inverse @ X3) @ X1)) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11781, zip_derived_cl12870])).
% 60.41/9.31 thf(zip_derived_cl17532, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ X1 @ X0)
% 60.41/9.31 = (multiply @ (inverse @ X2) @
% 60.41/9.31 (multiply @ (multiply @ X2 @ X1) @ X0)))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl17510, zip_derived_cl12951])).
% 60.41/9.31 thf(zip_derived_cl12951, plain,
% 60.41/9.31 (![X1 : $i, X3 : $i]:
% 60.41/9.31 ((multiply @ X3 @ (multiply @ (inverse @ X3) @ X1)) = (X1))),
% 60.41/9.31 inference('demod', [status(thm)],
% 60.41/9.31 [zip_derived_cl11781, zip_derived_cl12870])).
% 60.41/9.31 thf(zip_derived_cl17703, plain,
% 60.41/9.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 60.41/9.31 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 60.41/9.31 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 60.41/9.31 inference('sup+', [status(thm)],
% 60.41/9.31 [zip_derived_cl17532, zip_derived_cl12951])).
% 60.41/9.31 thf(zip_derived_cl17820, plain,
% 60.41/9.31 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 60.41/9.31 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 60.41/9.31 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl17703])).
% 60.41/9.31 thf(zip_derived_cl17821, plain, ($false),
% 60.41/9.31 inference('simplify', [status(thm)], [zip_derived_cl17820])).
% 60.41/9.31
% 60.41/9.31 % SZS output end Refutation
% 60.41/9.31
% 60.41/9.31
% 60.41/9.31 % Terminating...
% 60.89/9.40 % Runner terminated.
% 60.89/9.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------