TSTP Solution File: GRP058-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP058-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FiC9TcFfqv true
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:49:45 EDT 2023
% Result : Unsatisfiable 8.64s 1.92s
% Output : Refutation 8.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP058-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FiC9TcFfqv true
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 00:33:09 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.92/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.92/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.92/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.92/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.92/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.22/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.22/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 8.64/1.92 % Solved by fo/fo7.sh.
% 8.64/1.92 % done 936 iterations in 1.104s
% 8.64/1.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.64/1.92 % SZS output start Refutation
% 8.64/1.92 thf(inverse_type, type, inverse: $i > $i).
% 8.64/1.92 thf(a1_type, type, a1: $i).
% 8.64/1.92 thf(a3_type, type, a3: $i).
% 8.64/1.92 thf(b1_type, type, b1: $i).
% 8.64/1.92 thf(c3_type, type, c3: $i).
% 8.64/1.92 thf(multiply_type, type, multiply: $i > $i > $i).
% 8.64/1.92 thf(a2_type, type, a2: $i).
% 8.64/1.92 thf(b3_type, type, b3: $i).
% 8.64/1.92 thf(b2_type, type, b2: $i).
% 8.64/1.92 thf(single_axiom, axiom,
% 8.64/1.92 (( multiply @
% 8.64/1.92 X @
% 8.64/1.92 ( inverse @
% 8.64/1.92 ( multiply @
% 8.64/1.92 Y @
% 8.64/1.92 ( multiply @
% 8.64/1.92 ( multiply @
% 8.64/1.92 ( multiply @ Z @ ( inverse @ Z ) ) @
% 8.64/1.92 ( inverse @ ( multiply @ U @ Y ) ) ) @
% 8.64/1.92 X ) ) ) ) =
% 8.64/1.92 ( U ))).
% 8.64/1.92 thf(zip_derived_cl0, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X2))) @
% 8.64/1.92 X1))))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.64/1.92 thf(zip_derived_cl0, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X2))) @
% 8.64/1.92 X1))))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.64/1.92 thf(zip_derived_cl0, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X2))) @
% 8.64/1.92 X1))))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.64/1.92 thf(zip_derived_cl4, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @ X2 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X1))) @
% 8.64/1.92 (multiply @ X3 @ (inverse @ X3))) @
% 8.64/1.92 (multiply @ X0 @ X2))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl0, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X2))) @
% 8.64/1.92 X1))))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.64/1.92 thf(zip_derived_cl12, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.64/1.92 ((multiply @ X4 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ (multiply @ X2 @ (multiply @ X5 @ (inverse @ X5))) @
% 8.64/1.92 (multiply @ X0 @ X4))))
% 8.64/1.92 = (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X2 @ X0))) @
% 8.64/1.92 (multiply @ X1 @ (inverse @ X1))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl4, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @ X2 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X1))) @
% 8.64/1.92 (multiply @ X3 @ (inverse @ X3))) @
% 8.64/1.92 (multiply @ X0 @ X2))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl36, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X1 @ X2))) @
% 8.64/1.92 X1))) @
% 8.64/1.92 (multiply @ X0 @ (inverse @ X0))) = (X2))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 8.64/1.92 thf(zip_derived_cl0, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X2))) @
% 8.64/1.92 X1))))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.64/1.92 thf(zip_derived_cl78, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X1 @ X0)))
% 8.64/1.92 = (multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @ (multiply @ X1 @ X0))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl172, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X5 @ (inverse @ X5)) @ (inverse @ X0))
% 8.64/1.92 = (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X2))) @
% 8.64/1.92 X1)))))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl78])).
% 8.64/1.92 thf(zip_derived_cl0, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X2))) @
% 8.64/1.92 X1))))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.64/1.92 thf(zip_derived_cl194, plain,
% 8.64/1.92 (![X0 : $i, X4 : $i, X5 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X5 @ (inverse @ X5)) @ (inverse @ X0))
% 8.64/1.92 = (multiply @ (multiply @ X4 @ (inverse @ X4)) @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl36, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X1 @ X2))) @
% 8.64/1.92 X1))) @
% 8.64/1.92 (multiply @ X0 @ (inverse @ X0))) = (X2))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 8.64/1.92 thf(zip_derived_cl227, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ (multiply @ X1 @ (inverse @ X1)) @ (inverse @ X0)))) @
% 8.64/1.92 (multiply @ X2 @ (inverse @ X2))) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl4, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @ X2 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X1))) @
% 8.64/1.92 (multiply @ X3 @ (inverse @ X3))) @
% 8.64/1.92 (multiply @ X0 @ X2))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl330, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 8.64/1.92 ((multiply @ X2 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X6 @ (inverse @ X6)) @
% 8.64/1.92 (inverse @ (inverse @ (inverse @ X0)))) @
% 8.64/1.92 (multiply @ X5 @ (inverse @ X5))) @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @ (inverse @ X0)))) @
% 8.64/1.92 X2))))
% 8.64/1.92 = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl227, zip_derived_cl4])).
% 8.64/1.92 thf(zip_derived_cl36, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X1 @ X2))) @
% 8.64/1.92 X1))) @
% 8.64/1.92 (multiply @ X0 @ (inverse @ X0))) = (X2))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 8.64/1.92 thf(zip_derived_cl36, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X1 @ X2))) @
% 8.64/1.92 X1))) @
% 8.64/1.92 (multiply @ X0 @ (inverse @ X0))) = (X2))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 8.64/1.92 thf(zip_derived_cl79, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (inverse @ X0))) @
% 8.64/1.92 (multiply @ X1 @ (inverse @ X1))) = (X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl0, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X2))) @
% 8.64/1.92 X1))))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.64/1.92 thf(zip_derived_cl351, plain,
% 8.64/1.92 (![X1 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X3 @ (inverse @ X3)) = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl330, zip_derived_cl79, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl227, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ (multiply @ X1 @ (inverse @ X1)) @ (inverse @ X0)))) @
% 8.64/1.92 (multiply @ X2 @ (inverse @ X2))) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl391, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 8.64/1.92 (multiply @ X2 @ (inverse @ X2)))
% 8.64/1.92 = (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl227])).
% 8.64/1.92 thf(zip_derived_cl4, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @ X2 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X1))) @
% 8.64/1.92 (multiply @ X3 @ (inverse @ X3))) @
% 8.64/1.92 (multiply @ X0 @ X2))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl518, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) @
% 8.64/1.92 (multiply @ X1 @ X2))))
% 8.64/1.92 = (inverse @ X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl391, zip_derived_cl4])).
% 8.64/1.92 thf(zip_derived_cl0, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X2))) @
% 8.64/1.92 X1))))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.64/1.92 thf(zip_derived_cl541, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((inverse @
% 8.64/1.92 (multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X1 @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl518, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl541, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((inverse @
% 8.64/1.92 (multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X1 @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl518, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl79, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (inverse @ X0))) @
% 8.64/1.92 (multiply @ X1 @ (inverse @ X1))) = (X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl518, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) @
% 8.64/1.92 (multiply @ X1 @ X2))))
% 8.64/1.92 = (inverse @ X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl391, zip_derived_cl4])).
% 8.64/1.92 thf(zip_derived_cl227, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ (multiply @ X1 @ (inverse @ X1)) @ (inverse @ X0)))) @
% 8.64/1.92 (multiply @ X2 @ (inverse @ X2))) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl549, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @ (inverse @ X0))) @
% 8.64/1.92 (multiply @ X3 @ (inverse @ X3)))
% 8.64/1.92 = (inverse @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))) @
% 8.64/1.92 (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1)))))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl518, zip_derived_cl227])).
% 8.64/1.92 thf(zip_derived_cl79, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (inverse @ X0))) @
% 8.64/1.92 (multiply @ X1 @ (inverse @ X1))) = (X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl573, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((X0)
% 8.64/1.92 = (inverse @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))) @
% 8.64/1.92 (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1)))))))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl549, zip_derived_cl79])).
% 8.64/1.92 thf(zip_derived_cl1025, plain,
% 8.64/1.92 (![X0 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @ (inverse @ X0)))
% 8.64/1.92 = (inverse @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X3 @ (inverse @ X3)))) @ X0))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl573])).
% 8.64/1.92 thf(zip_derived_cl36, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X1 @ X2))) @
% 8.64/1.92 X1))) @
% 8.64/1.92 (multiply @ X0 @ (inverse @ X0))) = (X2))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 8.64/1.92 thf(zip_derived_cl1117, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X5 @ (inverse @ X5)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (inverse @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))) @
% 8.64/1.92 X0))))) @
% 8.64/1.92 (multiply @ X3 @ (inverse @ X3))))) @
% 8.64/1.92 (multiply @ X2 @ (inverse @ X2))) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1025, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl79, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (inverse @ X0))) @
% 8.64/1.92 (multiply @ X1 @ (inverse @ X1))) = (X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl79, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (inverse @ X0))) @
% 8.64/1.92 (multiply @ X1 @ (inverse @ X1))) = (X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl1175, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))) @ X0)
% 8.64/1.92 = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl1117, zip_derived_cl79, zip_derived_cl79])).
% 8.64/1.92 thf(zip_derived_cl1025, plain,
% 8.64/1.92 (![X0 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @ (inverse @ X0)))
% 8.64/1.92 = (inverse @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X3 @ (inverse @ X3)))) @ X0))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl573])).
% 8.64/1.92 thf(zip_derived_cl1255, plain,
% 8.64/1.92 (![X0 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @ (inverse @ X0)))
% 8.64/1.92 = (inverse @ (inverse @ (inverse @ (inverse @ X0)))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1175, zip_derived_cl1025])).
% 8.64/1.92 thf(zip_derived_cl1452, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @ (inverse @ X0))
% 8.64/1.92 = (inverse @
% 8.64/1.92 (inverse @
% 8.64/1.92 (inverse @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X0 @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1))))))))))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl541, zip_derived_cl1255])).
% 8.64/1.92 thf(zip_derived_cl541, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((inverse @
% 8.64/1.92 (multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X1 @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl518, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl1485, plain,
% 8.64/1.92 (![X0 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @ (inverse @ X0))
% 8.64/1.92 = (inverse @ (inverse @ (inverse @ X0))))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl1452, zip_derived_cl541])).
% 8.64/1.92 thf(zip_derived_cl1670, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @ X0)
% 8.64/1.92 = (inverse @
% 8.64/1.92 (inverse @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X0 @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))))))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl541, zip_derived_cl1485])).
% 8.64/1.92 thf(zip_derived_cl541, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((inverse @
% 8.64/1.92 (multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X1 @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl518, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl1699, plain,
% 8.64/1.92 (![X0 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @ X0)
% 8.64/1.92 = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl1670, zip_derived_cl541])).
% 8.64/1.92 thf(zip_derived_cl391, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 8.64/1.92 (multiply @ X2 @ (inverse @ X2)))
% 8.64/1.92 = (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl227])).
% 8.64/1.92 thf(zip_derived_cl2020, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 8.64/1.92 = (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1699, zip_derived_cl391])).
% 8.64/1.92 thf(zip_derived_cl1485, plain,
% 8.64/1.92 (![X0 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @ (inverse @ X0))
% 8.64/1.92 = (inverse @ (inverse @ (inverse @ X0))))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl1452, zip_derived_cl541])).
% 8.64/1.92 thf(zip_derived_cl351, plain,
% 8.64/1.92 (![X1 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X3 @ (inverse @ X3)) = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl330, zip_derived_cl79, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl227, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ (multiply @ X1 @ (inverse @ X1)) @ (inverse @ X0)))) @
% 8.64/1.92 (multiply @ X2 @ (inverse @ X2))) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl351, plain,
% 8.64/1.92 (![X1 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X3 @ (inverse @ X3)) = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl330, zip_derived_cl79, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl0, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X2))) @
% 8.64/1.92 X1))))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.64/1.92 thf(zip_derived_cl383, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ (inverse @ X1) @
% 8.64/1.92 (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X2))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl455, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ (inverse @ X1) @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl227, zip_derived_cl383])).
% 8.64/1.92 thf(zip_derived_cl678, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 8.64/1.92 = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl455])).
% 8.64/1.92 thf(zip_derived_cl1667, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((inverse @ (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))
% 8.64/1.92 = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1485, zip_derived_cl678])).
% 8.64/1.92 thf(zip_derived_cl1175, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))) @ X0)
% 8.64/1.92 = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl1117, zip_derived_cl79, zip_derived_cl79])).
% 8.64/1.92 thf(zip_derived_cl1667, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((inverse @ (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))
% 8.64/1.92 = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1485, zip_derived_cl678])).
% 8.64/1.92 thf(zip_derived_cl1699, plain,
% 8.64/1.92 (![X0 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @ X0)
% 8.64/1.92 = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl1670, zip_derived_cl541])).
% 8.64/1.92 thf(zip_derived_cl383, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ (inverse @ X1) @
% 8.64/1.92 (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X2))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl2016, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X0 @
% 8.64/1.92 (inverse @ (multiply @ (inverse @ X1) @ (inverse @ (inverse @ X0)))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1699, zip_derived_cl383])).
% 8.64/1.92 thf(zip_derived_cl2117, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (inverse @ (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1667, zip_derived_cl2016])).
% 8.64/1.92 thf(zip_derived_cl2308, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ (inverse @ X0))))))
% 8.64/1.92 = (X2))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1175, zip_derived_cl2117])).
% 8.64/1.92 thf(zip_derived_cl351, plain,
% 8.64/1.92 (![X1 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X3 @ (inverse @ X3)) = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl330, zip_derived_cl79, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl2016, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X0 @
% 8.64/1.92 (inverse @ (multiply @ (inverse @ X1) @ (inverse @ (inverse @ X0)))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1699, zip_derived_cl383])).
% 8.64/1.92 thf(zip_derived_cl2114, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl2016])).
% 8.64/1.92 thf(zip_derived_cl1667, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((inverse @ (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))
% 8.64/1.92 = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1485, zip_derived_cl678])).
% 8.64/1.92 thf(zip_derived_cl2331, plain,
% 8.64/1.92 (![X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @ (multiply @ X1 @ (inverse @ X1))) = (X2))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl2308, zip_derived_cl2114, zip_derived_cl1667])).
% 8.64/1.92 thf(zip_derived_cl1255, plain,
% 8.64/1.92 (![X0 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @ (inverse @ X0)))
% 8.64/1.92 = (inverse @ (inverse @ (inverse @ (inverse @ X0)))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1175, zip_derived_cl1025])).
% 8.64/1.92 thf(zip_derived_cl79, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (inverse @ X0))) @
% 8.64/1.92 (multiply @ X1 @ (inverse @ X1))) = (X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl1441, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (inverse @ (inverse @ (inverse @ (inverse @ X0)))) @
% 8.64/1.92 (multiply @ X1 @ (inverse @ X1))) = (X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1255, zip_derived_cl79])).
% 8.64/1.92 thf(zip_derived_cl2379, plain,
% 8.64/1.92 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X0)))) = (X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl2331, zip_derived_cl1441])).
% 8.64/1.92 thf(zip_derived_cl2455, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((inverse @ (multiply @ X0 @ (inverse @ X0)))
% 8.64/1.92 = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1667, zip_derived_cl2379])).
% 8.64/1.92 thf(zip_derived_cl2455, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((inverse @ (multiply @ X0 @ (inverse @ X0)))
% 8.64/1.92 = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1667, zip_derived_cl2379])).
% 8.64/1.92 thf(zip_derived_cl3347, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 8.64/1.92 = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl2020, zip_derived_cl2455, zip_derived_cl2455])).
% 8.64/1.92 thf(zip_derived_cl0, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X2))) @
% 8.64/1.92 X1))))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.64/1.92 thf(zip_derived_cl3391, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X1 @ X2)))) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3347, zip_derived_cl0])).
% 8.64/1.92 thf(zip_derived_cl1699, plain,
% 8.64/1.92 (![X0 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @ X0)
% 8.64/1.92 = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl1670, zip_derived_cl541])).
% 8.64/1.92 thf(zip_derived_cl2379, plain,
% 8.64/1.92 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X0)))) = (X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl2331, zip_derived_cl1441])).
% 8.64/1.92 thf(zip_derived_cl2454, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((inverse @
% 8.64/1.92 (multiply @ (multiply @ X1 @ (inverse @ X1)) @ (inverse @ X0)))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1699, zip_derived_cl2379])).
% 8.64/1.92 thf(zip_derived_cl1667, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((inverse @ (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))
% 8.64/1.92 = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1485, zip_derived_cl678])).
% 8.64/1.92 thf(zip_derived_cl2331, plain,
% 8.64/1.92 (![X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @ (multiply @ X1 @ (inverse @ X1))) = (X2))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl2308, zip_derived_cl2114, zip_derived_cl1667])).
% 8.64/1.92 thf(zip_derived_cl2393, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))) @
% 8.64/1.92 (multiply @ X0 @ (inverse @ X0))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1667, zip_derived_cl2331])).
% 8.64/1.92 thf(zip_derived_cl2331, plain,
% 8.64/1.92 (![X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @ (multiply @ X1 @ (inverse @ X1))) = (X2))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl2308, zip_derived_cl2114, zip_derived_cl1667])).
% 8.64/1.92 thf(zip_derived_cl2397, plain,
% 8.64/1.92 (![X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2))))) = (
% 8.64/1.92 X1))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl2393, zip_derived_cl2331])).
% 8.64/1.92 thf(zip_derived_cl3521, plain,
% 8.64/1.92 (![X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X1 @ X2) @ (inverse @ X2)) = (X1))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl3391, zip_derived_cl2454, zip_derived_cl2397])).
% 8.64/1.92 thf(zip_derived_cl3521, plain,
% 8.64/1.92 (![X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X1 @ X2) @ (inverse @ X2)) = (X1))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl3391, zip_derived_cl2454, zip_derived_cl2397])).
% 8.64/1.92 thf(zip_derived_cl3568, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X0 @ (inverse @ (inverse @ X1))) = (multiply @ X0 @ X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3521, zip_derived_cl3521])).
% 8.64/1.92 thf(zip_derived_cl678, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 8.64/1.92 = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl455])).
% 8.64/1.92 thf(zip_derived_cl3663, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 8.64/1.92 (inverse @ (multiply @ X1 @ (inverse @ X1))))
% 8.64/1.92 = (multiply @ (inverse @ X0) @ X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3568, zip_derived_cl678])).
% 8.64/1.92 thf(zip_derived_cl2455, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((inverse @ (multiply @ X0 @ (inverse @ X0)))
% 8.64/1.92 = (multiply @ X1 @ (inverse @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1667, zip_derived_cl2379])).
% 8.64/1.92 thf(zip_derived_cl2331, plain,
% 8.64/1.92 (![X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @ (multiply @ X1 @ (inverse @ X1))) = (X2))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl2308, zip_derived_cl2114, zip_derived_cl1667])).
% 8.64/1.92 thf(zip_derived_cl3713, plain,
% 8.64/1.92 (![X0 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @ (inverse @ X2)) = (multiply @ (inverse @ X0) @ X0))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl3663, zip_derived_cl2455, zip_derived_cl2331])).
% 8.64/1.92 thf(prove_these_axioms, conjecture,
% 8.64/1.92 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 8.64/1.92 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 8.64/1.92 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 8.64/1.92 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 8.64/1.92 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 8.64/1.92 thf(zf_stmt_0, negated_conjecture,
% 8.64/1.92 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 8.64/1.92 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 8.64/1.92 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 8.64/1.92 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 8.64/1.92 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 8.64/1.92 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 8.64/1.92 thf(zip_derived_cl1, plain,
% 8.64/1.92 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 8.64/1.92 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 8.64/1.92 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 8.64/1.92 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 8.64/1.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.64/1.92 thf(zip_derived_cl3568, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X0 @ (inverse @ (inverse @ X1))) = (multiply @ X0 @ X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3521, zip_derived_cl3521])).
% 8.64/1.92 thf(zip_derived_cl36, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X1 @ X2))) @
% 8.64/1.92 X1))) @
% 8.64/1.92 (multiply @ X0 @ (inverse @ X0))) = (X2))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 8.64/1.92 thf(zip_derived_cl3634, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X1 @ X0))) @
% 8.64/1.92 X1))) @
% 8.64/1.92 (multiply @ X2 @ (inverse @ X2))) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3568, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl36, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.64/1.92 ((multiply @
% 8.64/1.92 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X1 @ X2))) @
% 8.64/1.92 X1))) @
% 8.64/1.92 (multiply @ X0 @ (inverse @ X0))) = (X2))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 8.64/1.92 thf(zip_derived_cl3710, plain,
% 8.64/1.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl3634, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl3568, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X0 @ (inverse @ (inverse @ X1))) = (multiply @ X0 @ X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3521, zip_derived_cl3521])).
% 8.64/1.92 thf(zip_derived_cl1699, plain,
% 8.64/1.92 (![X0 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @ X0)
% 8.64/1.92 = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl1670, zip_derived_cl541])).
% 8.64/1.92 thf(zip_derived_cl3674, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)
% 8.64/1.92 = (inverse @ (inverse @ (inverse @ (inverse @ X0)))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3568, zip_derived_cl1699])).
% 8.64/1.92 thf(zip_derived_cl2379, plain,
% 8.64/1.92 (![X0 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X0)))) = (X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl2331, zip_derived_cl1441])).
% 8.64/1.92 thf(zip_derived_cl3716, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl3674, zip_derived_cl2379])).
% 8.64/1.92 thf(zip_derived_cl3806, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3710, zip_derived_cl3716])).
% 8.64/1.92 thf(zip_derived_cl3859, plain,
% 8.64/1.92 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 8.64/1.92 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 8.64/1.92 | ((a2) != (a2))
% 8.64/1.92 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl3806])).
% 8.64/1.92 thf(zip_derived_cl3860, plain,
% 8.64/1.92 ((((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))
% 8.64/1.92 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 8.64/1.92 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 8.64/1.92 inference('simplify', [status(thm)], [zip_derived_cl3859])).
% 8.64/1.92 thf(zip_derived_cl4105, plain,
% 8.64/1.92 (![X0 : $i]:
% 8.64/1.92 (((multiply @ (inverse @ a1) @ a1) != (multiply @ X0 @ (inverse @ X0)))
% 8.64/1.92 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 8.64/1.92 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 8.64/1.92 inference('sup-', [status(thm)], [zip_derived_cl3713, zip_derived_cl3860])).
% 8.64/1.92 thf(zip_derived_cl3713, plain,
% 8.64/1.92 (![X0 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @ (inverse @ X2)) = (multiply @ (inverse @ X0) @ X0))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl3663, zip_derived_cl2455, zip_derived_cl2331])).
% 8.64/1.92 thf(zip_derived_cl4136, plain,
% 8.64/1.92 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 8.64/1.92 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 8.64/1.92 inference('simplify_reflect+', [status(thm)],
% 8.64/1.92 [zip_derived_cl4105, zip_derived_cl3713])).
% 8.64/1.92 thf(zip_derived_cl3710, plain,
% 8.64/1.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl3634, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl2016, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X0 @
% 8.64/1.92 (inverse @ (multiply @ (inverse @ X1) @ (inverse @ (inverse @ X0)))))
% 8.64/1.92 = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl1699, zip_derived_cl383])).
% 8.64/1.92 thf(zip_derived_cl3568, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X0 @ (inverse @ (inverse @ X1))) = (multiply @ X0 @ X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3521, zip_derived_cl3521])).
% 8.64/1.92 thf(zip_derived_cl3632, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X0))) = (X1))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl2016, zip_derived_cl3568])).
% 8.64/1.92 thf(zip_derived_cl3710, plain,
% 8.64/1.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl3634, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl3521, plain,
% 8.64/1.92 (![X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X1 @ X2) @ (inverse @ X2)) = (X1))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl3391, zip_derived_cl2454, zip_derived_cl2397])).
% 8.64/1.92 thf(zip_derived_cl3750, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3710, zip_derived_cl3521])).
% 8.64/1.92 thf(zip_derived_cl3899, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3632, zip_derived_cl3750])).
% 8.64/1.92 thf(zip_derived_cl3949, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3710, zip_derived_cl3899])).
% 8.64/1.92 thf(zip_derived_cl3521, plain,
% 8.64/1.92 (![X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X1 @ X2) @ (inverse @ X2)) = (X1))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl3391, zip_derived_cl2454, zip_derived_cl2397])).
% 8.64/1.92 thf(zip_derived_cl0, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @
% 8.64/1.92 (multiply @
% 8.64/1.92 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 8.64/1.92 (inverse @ (multiply @ X0 @ X2))) @
% 8.64/1.92 X1))))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('cnf', [status(esa)], [single_axiom])).
% 8.64/1.92 thf(zip_derived_cl3716, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl3674, zip_derived_cl2379])).
% 8.64/1.92 thf(zip_derived_cl3769, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (inverse @
% 8.64/1.92 (multiply @ X2 @ (multiply @ (inverse @ (multiply @ X0 @ X2)) @ X1))))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl3716])).
% 8.64/1.92 thf(zip_derived_cl3710, plain,
% 8.64/1.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl3634, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl3632, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X0))) = (X1))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl2016, zip_derived_cl3568])).
% 8.64/1.92 thf(zip_derived_cl3914, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X1 @ (inverse @ (multiply @ X0 @ X1))) = (inverse @ X0))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3710, zip_derived_cl3632])).
% 8.64/1.92 thf(zip_derived_cl3949, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3710, zip_derived_cl3899])).
% 8.64/1.92 thf(zip_derived_cl3998, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 8.64/1.92 = (inverse @ (multiply @ X0 @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3914, zip_derived_cl3949])).
% 8.64/1.92 thf(zip_derived_cl3998, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 8.64/1.92 = (inverse @ (multiply @ X0 @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3914, zip_derived_cl3949])).
% 8.64/1.92 thf(zip_derived_cl3710, plain,
% 8.64/1.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl3634, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl3998, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 8.64/1.92 = (inverse @ (multiply @ X0 @ X1)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3914, zip_derived_cl3949])).
% 8.64/1.92 thf(zip_derived_cl3710, plain,
% 8.64/1.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl3634, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl4047, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ X0 @ X1)
% 8.64/1.92 = (inverse @ (multiply @ (inverse @ X1) @ (inverse @ X0))))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3998, zip_derived_cl3710])).
% 8.64/1.92 thf(zip_derived_cl4240, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (inverse @ X0) @ X1)
% 8.64/1.92 = (inverse @ (multiply @ (inverse @ X1) @ X0)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3710, zip_derived_cl4047])).
% 8.64/1.92 thf(zip_derived_cl4240, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i]:
% 8.64/1.92 ((multiply @ (inverse @ X0) @ X1)
% 8.64/1.92 = (inverse @ (multiply @ (inverse @ X1) @ X0)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3710, zip_derived_cl4047])).
% 8.64/1.92 thf(zip_derived_cl4272, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ (inverse @ X2) @ (multiply @ (inverse @ X0) @ X1))
% 8.64/1.92 = (inverse @ (multiply @ (multiply @ (inverse @ X1) @ X0) @ X2)))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl4240, zip_derived_cl4240])).
% 8.64/1.92 thf(zip_derived_cl3710, plain,
% 8.64/1.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl3634, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl6038, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X1 @
% 8.64/1.92 (multiply @ (multiply @ (inverse @ X1) @ (multiply @ X0 @ X2)) @
% 8.64/1.92 (inverse @ X2)))
% 8.64/1.92 = (X0))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl3769, zip_derived_cl3998, zip_derived_cl3998,
% 8.64/1.92 zip_derived_cl4272, zip_derived_cl3710])).
% 8.64/1.92 thf(zip_derived_cl6106, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @
% 8.64/1.92 (multiply @ (multiply @ (inverse @ X2) @ X0) @
% 8.64/1.92 (inverse @ (inverse @ X1))))
% 8.64/1.92 = (multiply @ X0 @ X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3521, zip_derived_cl6038])).
% 8.64/1.92 thf(zip_derived_cl3710, plain,
% 8.64/1.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 8.64/1.92 inference('demod', [status(thm)], [zip_derived_cl3634, zip_derived_cl36])).
% 8.64/1.92 thf(zip_derived_cl6157, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @ (multiply @ (multiply @ (inverse @ X2) @ X0) @ X1))
% 8.64/1.92 = (multiply @ X0 @ X1))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl6106, zip_derived_cl3710])).
% 8.64/1.92 thf(zip_derived_cl6416, plain,
% 8.64/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.64/1.92 ((multiply @ X2 @ (multiply @ X0 @ X1))
% 8.64/1.92 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 8.64/1.92 inference('sup+', [status(thm)], [zip_derived_cl3949, zip_derived_cl6157])).
% 8.64/1.92 thf(zip_derived_cl6497, plain,
% 8.64/1.92 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 8.64/1.92 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 8.64/1.92 inference('demod', [status(thm)],
% 8.64/1.92 [zip_derived_cl4136, zip_derived_cl6416])).
% 8.64/1.92 thf(zip_derived_cl6498, plain, ($false),
% 8.64/1.92 inference('simplify', [status(thm)], [zip_derived_cl6497])).
% 8.64/1.92
% 8.64/1.92 % SZS output end Refutation
% 8.64/1.92
% 8.64/1.92
% 8.64/1.92 % Terminating...
% 8.64/1.98 % Runner terminated.
% 8.64/1.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------