TSTP Solution File: GRP050-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP050-1 : 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.NBmWG0vhNt true
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:49:43 EDT 2023
% Result : Unsatisfiable 10.83s 2.17s
% Output : Refutation 10.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP050-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NBmWG0vhNt true
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 00:06:55 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % Running portfolio for 300 s
% 0.19/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.83/2.17 % Solved by fo/fo7.sh.
% 10.83/2.17 % done 552 iterations in 1.384s
% 10.83/2.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.83/2.17 % SZS output start Refutation
% 10.83/2.17 thf(inverse_type, type, inverse: $i > $i).
% 10.83/2.17 thf(b1_type, type, b1: $i).
% 10.83/2.17 thf(b3_type, type, b3: $i).
% 10.83/2.17 thf(b2_type, type, b2: $i).
% 10.83/2.17 thf(multiply_type, type, multiply: $i > $i > $i).
% 10.83/2.17 thf(a3_type, type, a3: $i).
% 10.83/2.17 thf(c3_type, type, c3: $i).
% 10.83/2.17 thf(a2_type, type, a2: $i).
% 10.83/2.17 thf(a1_type, type, a1: $i).
% 10.83/2.17 thf(single_axiom, axiom,
% 10.83/2.17 (( multiply @
% 10.83/2.17 Z @
% 10.83/2.17 ( inverse @
% 10.83/2.17 ( multiply @
% 10.83/2.17 ( inverse @ ( multiply @ ( inverse @ ( multiply @ Z @ Y ) ) @ X ) ) @
% 10.83/2.17 ( multiply @ ( inverse @ Y ) @ ( multiply @ ( inverse @ Y ) @ Y ) ) ) ) ) =
% 10.83/2.17 ( X ))).
% 10.83/2.17 thf(zip_derived_cl0, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ X1 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 10.83/2.17 = (X0))),
% 10.83/2.17 inference('cnf', [status(esa)], [single_axiom])).
% 10.83/2.17 thf(zip_derived_cl0, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ X1 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 10.83/2.17 = (X0))),
% 10.83/2.17 inference('cnf', [status(esa)], [single_axiom])).
% 10.83/2.17 thf(zip_derived_cl0, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ X1 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 10.83/2.17 = (X0))),
% 10.83/2.17 inference('cnf', [status(esa)], [single_axiom])).
% 10.83/2.17 thf(zip_derived_cl3, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.83/2.17 ((multiply @ X3 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X0) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 10.83/2.17 X0)) @
% 10.83/2.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl3, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.83/2.17 ((multiply @ X3 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X0) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 10.83/2.17 X0)) @
% 10.83/2.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl0, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ X1 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 10.83/2.17 = (X0))),
% 10.83/2.17 inference('cnf', [status(esa)], [single_axiom])).
% 10.83/2.17 thf(zip_derived_cl15, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.83/2.17 (multiply @ X2 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X1) @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 10.83/2.17 = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl39, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 10.83/2.17 (multiply @ X4 @
% 10.83/2.17 (multiply @ X2 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X1) @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))))
% 10.83/2.17 = (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X3)) @
% 10.83/2.17 X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 10.83/2.17 thf(zip_derived_cl83, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 10.83/2.17 thf(zip_derived_cl3, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.83/2.17 ((multiply @ X3 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X0) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 10.83/2.17 X0)) @
% 10.83/2.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl140, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ X4 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X4 @ X3)) @ X0)) @
% 10.83/2.17 (multiply @ (inverse @ X3) @ (multiply @ (inverse @ X3) @ X3)))))
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 10.83/2.17 (multiply @ X1 @ X0))) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl3])).
% 10.83/2.17 thf(zip_derived_cl0, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ X1 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 10.83/2.17 = (X0))),
% 10.83/2.17 inference('cnf', [status(esa)], [single_axiom])).
% 10.83/2.17 thf(zip_derived_cl237, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((X0)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 10.83/2.17 (multiply @ X1 @ X0))) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl0, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ X1 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 10.83/2.17 = (X0))),
% 10.83/2.17 inference('cnf', [status(esa)], [single_axiom])).
% 10.83/2.17 thf(zip_derived_cl346, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ X0 @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.83/2.17 (multiply @ X2 @ X0))))))
% 10.83/2.17 = (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl15, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.83/2.17 (multiply @ X2 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X1) @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 10.83/2.17 = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl840, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.83/2.17 (multiply @ X2 @ (inverse @ X1)))) @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))
% 10.83/2.17 = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl15])).
% 10.83/2.17 thf(zip_derived_cl237, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((X0)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 10.83/2.17 (multiply @ X1 @ X0))) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl83, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 10.83/2.17 thf(zip_derived_cl83, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 10.83/2.17 thf(zip_derived_cl149, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 10.83/2.17 (multiply @ X1 @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl83])).
% 10.83/2.17 thf(zip_derived_cl339, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ X4 @
% 10.83/2.17 (multiply @ (inverse @ X3) @ (multiply @ (inverse @ X3) @ X3)))) @
% 10.83/2.17 (multiply @ X4 @ X1))
% 10.83/2.17 = (multiply @ X0 @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 10.83/2.17 (multiply @ X2 @ X0))) @
% 10.83/2.17 X1)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl149])).
% 10.83/2.17 thf(zip_derived_cl339, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ X4 @
% 10.83/2.17 (multiply @ (inverse @ X3) @ (multiply @ (inverse @ X3) @ X3)))) @
% 10.83/2.17 (multiply @ X4 @ X1))
% 10.83/2.17 = (multiply @ X0 @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 10.83/2.17 (multiply @ X2 @ X0))) @
% 10.83/2.17 X1)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl149])).
% 10.83/2.17 thf(zip_derived_cl536, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.83/2.17 ((multiply @ X1 @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 10.83/2.17 (multiply @ X2 @ X1))) @
% 10.83/2.17 X0))
% 10.83/2.17 = (multiply @ X4 @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X5 @ X3)) @
% 10.83/2.17 (multiply @ X5 @ X4))) @
% 10.83/2.17 X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl339, zip_derived_cl339])).
% 10.83/2.17 thf(zip_derived_cl980, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X0) @ X0)
% 10.83/2.17 = (multiply @ X2 @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 10.83/2.17 (multiply @ X3 @ X2))) @
% 10.83/2.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl536])).
% 10.83/2.17 thf(zip_derived_cl980, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X0) @ X0)
% 10.83/2.17 = (multiply @ X2 @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 10.83/2.17 (multiply @ X3 @ X2))) @
% 10.83/2.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl536])).
% 10.83/2.17 thf(zip_derived_cl1075, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl980])).
% 10.83/2.17 thf(prove_these_axioms, conjecture,
% 10.83/2.17 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 10.83/2.17 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 10.83/2.17 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 10.83/2.17 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 10.83/2.17 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 10.83/2.17 thf(zf_stmt_0, negated_conjecture,
% 10.83/2.17 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 10.83/2.17 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 10.83/2.17 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 10.83/2.17 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 10.83/2.17 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 10.83/2.17 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 10.83/2.17 thf(zip_derived_cl1, plain,
% 10.83/2.17 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 10.83/2.17 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 10.83/2.17 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 10.83/2.17 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 10.83/2.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.83/2.17 thf(zip_derived_cl1375, plain,
% 10.83/2.17 (![X0 : $i]:
% 10.83/2.17 (((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))
% 10.83/2.17 | ((multiply @ (inverse @ a1) @ a1)
% 10.83/2.17 != (multiply @ (inverse @ b1) @ b1))
% 10.83/2.17 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 10.83/2.17 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 10.83/2.17 inference('sup-', [status(thm)], [zip_derived_cl1075, zip_derived_cl1])).
% 10.83/2.17 thf(zip_derived_cl1075, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl980])).
% 10.83/2.17 thf(zip_derived_cl1458, plain,
% 10.83/2.17 (![X0 : $i]:
% 10.83/2.17 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 10.83/2.17 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 10.83/2.17 | ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2)))),
% 10.83/2.17 inference('simplify_reflect+', [status(thm)],
% 10.83/2.17 [zip_derived_cl1375, zip_derived_cl1075])).
% 10.83/2.17 thf(zip_derived_cl237, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((X0)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 10.83/2.17 (multiply @ X1 @ X0))) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl237, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((X0)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 10.83/2.17 (multiply @ X1 @ X0))) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl1075, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl980])).
% 10.83/2.17 thf(zip_derived_cl980, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X0) @ X0)
% 10.83/2.17 = (multiply @ X2 @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 10.83/2.17 (multiply @ X3 @ X2))) @
% 10.83/2.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl536])).
% 10.83/2.17 thf(zip_derived_cl3, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.83/2.17 ((multiply @ X3 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X0) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 10.83/2.17 X0)) @
% 10.83/2.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl1078, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.83/2.17 ((multiply @ X4 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X5 @ X2)) @
% 10.83/2.17 (multiply @ X5 @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X4 @ X3)) @ X1))))) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))) @
% 10.83/2.17 (multiply @ (inverse @ X3) @ (multiply @ (inverse @ X3) @ X3)))))
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 10.83/2.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl3])).
% 10.83/2.17 thf(zip_derived_cl840, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.83/2.17 (multiply @ X2 @ (inverse @ X1)))) @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))
% 10.83/2.17 = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl15])).
% 10.83/2.17 thf(zip_derived_cl0, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ X1 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 10.83/2.17 = (X0))),
% 10.83/2.17 inference('cnf', [status(esa)], [single_axiom])).
% 10.83/2.17 thf(zip_derived_cl1241, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((X1)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 10.83/2.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl1078, zip_derived_cl840, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl237, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((X0)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 10.83/2.17 (multiply @ X1 @ X0))) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl1521, plain,
% 10.83/2.17 (![X0 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X0) @ X0)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @ X0 @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl1241, zip_derived_cl237])).
% 10.83/2.17 thf(zip_derived_cl15, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.83/2.17 (multiply @ X2 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X1) @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 10.83/2.17 = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl1662, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X1 @ (inverse @ X0))) @
% 10.83/2.17 (multiply @ X1 @
% 10.83/2.17 (multiply @ (inverse @ (inverse @ X0)) @ (inverse @ X0))))
% 10.83/2.17 = (X0))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl1521, zip_derived_cl15])).
% 10.83/2.17 thf(zip_derived_cl1075, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl980])).
% 10.83/2.17 thf(zip_derived_cl1730, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X1 @ (inverse @ X0))) @
% 10.83/2.17 (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0))) = (X0))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl1662, zip_derived_cl1075])).
% 10.83/2.17 thf(zip_derived_cl2742, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @
% 10.83/2.17 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X0))) = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl1075, zip_derived_cl1730])).
% 10.83/2.17 thf(zip_derived_cl15, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.83/2.17 (multiply @ X2 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X1) @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 10.83/2.17 = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl3236, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 10.83/2.17 (multiply @ X2 @ (inverse @ X0)))
% 10.83/2.17 = (multiply @ (inverse @ X1) @ (inverse @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl2742, zip_derived_cl15])).
% 10.83/2.17 thf(zip_derived_cl3422, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ X3) @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 10.83/2.17 (multiply @ X2 @ X0))) @
% 10.83/2.17 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1))))))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl3236])).
% 10.83/2.17 thf(zip_derived_cl237, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((X0)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 10.83/2.17 (multiply @ X1 @ X0))) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl3460, plain,
% 10.83/2.17 (![X0 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ X3) @ X0))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl3422, zip_derived_cl237])).
% 10.83/2.17 thf(zip_derived_cl3460, plain,
% 10.83/2.17 (![X0 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ X3) @ X0))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl3422, zip_derived_cl237])).
% 10.83/2.17 thf(zip_derived_cl3508, plain,
% 10.83/2.17 (![X0 : $i, X2 : $i]:
% 10.83/2.17 ((X0)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X2) @ X2))))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl237, zip_derived_cl3460, zip_derived_cl3460])).
% 10.83/2.17 thf(zip_derived_cl15, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.83/2.17 (multiply @ X2 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X1) @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 10.83/2.17 = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 10.83/2.17 thf(zip_derived_cl3631, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ X0 @
% 10.83/2.17 (multiply @ (inverse @ X0) @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X1) @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 10.83/2.17 (multiply @ (inverse @ X2) @ X2)))))))
% 10.83/2.17 = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3508, zip_derived_cl15])).
% 10.83/2.17 thf(zip_derived_cl3460, plain,
% 10.83/2.17 (![X0 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ X3) @ X0))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl3422, zip_derived_cl237])).
% 10.83/2.17 thf(zip_derived_cl3460, plain,
% 10.83/2.17 (![X0 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ X3) @ X0))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl3422, zip_derived_cl237])).
% 10.83/2.17 thf(zip_derived_cl3508, plain,
% 10.83/2.17 (![X0 : $i, X2 : $i]:
% 10.83/2.17 ((X0)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X2) @ X2))))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl237, zip_derived_cl3460, zip_derived_cl3460])).
% 10.83/2.17 thf(zip_derived_cl3700, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl3631, zip_derived_cl3460, zip_derived_cl3460,
% 10.83/2.17 zip_derived_cl3508])).
% 10.83/2.17 thf(zip_derived_cl3508, plain,
% 10.83/2.17 (![X0 : $i, X2 : $i]:
% 10.83/2.17 ((X0)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X2) @ X2))))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl237, zip_derived_cl3460, zip_derived_cl3460])).
% 10.83/2.17 thf(zip_derived_cl3777, plain,
% 10.83/2.17 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3700, zip_derived_cl3508])).
% 10.83/2.17 thf(zip_derived_cl1075, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl980])).
% 10.83/2.17 thf(zip_derived_cl3821, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ X0 @ (inverse @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3777, zip_derived_cl1075])).
% 10.83/2.17 thf(zip_derived_cl1075, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl980])).
% 10.83/2.17 thf(zip_derived_cl1075, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl980])).
% 10.83/2.17 thf(zip_derived_cl3700, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl3631, zip_derived_cl3460, zip_derived_cl3460,
% 10.83/2.17 zip_derived_cl3508])).
% 10.83/2.17 thf(zip_derived_cl3782, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl1075, zip_derived_cl3700])).
% 10.83/2.17 thf(zip_derived_cl3460, plain,
% 10.83/2.17 (![X0 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ X3) @ X0))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl3422, zip_derived_cl237])).
% 10.83/2.17 thf(zip_derived_cl3865, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0)
% 10.83/2.17 = (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X1)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3782, zip_derived_cl3460])).
% 10.83/2.17 thf(zip_derived_cl3782, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl1075, zip_derived_cl3700])).
% 10.83/2.17 thf(zip_derived_cl3893, plain,
% 10.83/2.17 (![X0 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0) = (inverse @ X2))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl3865, zip_derived_cl3782])).
% 10.83/2.17 thf(zip_derived_cl3777, plain,
% 10.83/2.17 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3700, zip_derived_cl3508])).
% 10.83/2.17 thf(zip_derived_cl3782, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl1075, zip_derived_cl3700])).
% 10.83/2.17 thf(zip_derived_cl3888, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3777, zip_derived_cl3782])).
% 10.83/2.17 thf(zip_derived_cl3460, plain,
% 10.83/2.17 (![X0 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ X3) @ X0))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl3422, zip_derived_cl237])).
% 10.83/2.17 thf(zip_derived_cl3915, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((inverse @ (multiply @ X1 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ X0) @ (inverse @ X1)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3888, zip_derived_cl3460])).
% 10.83/2.17 thf(zip_derived_cl4044, plain,
% 10.83/2.17 (![X0 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (multiply @ (inverse @ X2) @ (inverse @ X0)) @ X0)
% 10.83/2.17 = (inverse @ X2))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl3893, zip_derived_cl3915])).
% 10.83/2.17 thf(zip_derived_cl4051, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1)
% 10.83/2.17 = (inverse @ (inverse @ X1)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl1075, zip_derived_cl4044])).
% 10.83/2.17 thf(zip_derived_cl3821, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X1) @ X1) = (multiply @ X0 @ (inverse @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3777, zip_derived_cl1075])).
% 10.83/2.17 thf(zip_derived_cl3777, plain,
% 10.83/2.17 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3700, zip_derived_cl3508])).
% 10.83/2.17 thf(zip_derived_cl4061, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) = (X1))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl4051, zip_derived_cl3821, zip_derived_cl3777])).
% 10.83/2.17 thf(zip_derived_cl4164, plain,
% 10.83/2.17 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 10.83/2.17 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 10.83/2.17 | ((a2) != (a2)))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl1458, zip_derived_cl3821, zip_derived_cl4061])).
% 10.83/2.17 thf(zip_derived_cl4165, plain,
% 10.83/2.17 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 10.83/2.17 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 10.83/2.17 inference('simplify', [status(thm)], [zip_derived_cl4164])).
% 10.83/2.17 thf(zip_derived_cl3777, plain,
% 10.83/2.17 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3700, zip_derived_cl3508])).
% 10.83/2.17 thf(zip_derived_cl3777, plain,
% 10.83/2.17 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3700, zip_derived_cl3508])).
% 10.83/2.17 thf(zip_derived_cl3508, plain,
% 10.83/2.17 (![X0 : $i, X2 : $i]:
% 10.83/2.17 ((X0)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X2) @ X2))))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl237, zip_derived_cl3460, zip_derived_cl3460])).
% 10.83/2.17 thf(zip_derived_cl39, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 10.83/2.17 (multiply @ X4 @
% 10.83/2.17 (multiply @ X2 @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X1) @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))))
% 10.83/2.17 = (multiply @
% 10.83/2.17 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X3)) @
% 10.83/2.17 X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 10.83/2.17 thf(zip_derived_cl3632, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X2)) @
% 10.83/2.17 (multiply @ X4 @
% 10.83/2.17 (multiply @ (inverse @ X0) @
% 10.83/2.17 (inverse @
% 10.83/2.17 (multiply @ (inverse @ X1) @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ (inverse @ X3) @ X3)) @
% 10.83/2.17 (multiply @ (inverse @ (multiply @ (inverse @ X3) @ X3)) @
% 10.83/2.17 (multiply @ (inverse @ X3) @ X3))))))))
% 10.83/2.17 = (multiply @ (inverse @ (multiply @ X0 @ X2)) @ X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3508, zip_derived_cl39])).
% 10.83/2.17 thf(zip_derived_cl3460, plain,
% 10.83/2.17 (![X0 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ X3) @ X0))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl3422, zip_derived_cl237])).
% 10.83/2.17 thf(zip_derived_cl3460, plain,
% 10.83/2.17 (![X0 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ X3) @ X0))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl3422, zip_derived_cl237])).
% 10.83/2.17 thf(zip_derived_cl3508, plain,
% 10.83/2.17 (![X0 : $i, X2 : $i]:
% 10.83/2.17 ((X0)
% 10.83/2.17 = (inverse @
% 10.83/2.17 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X2) @ X2))))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl237, zip_derived_cl3460, zip_derived_cl3460])).
% 10.83/2.17 thf(zip_derived_cl3460, plain,
% 10.83/2.17 (![X0 : $i, X3 : $i, X4 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ X3) @ X0))),
% 10.83/2.17 inference('demod', [status(thm)], [zip_derived_cl3422, zip_derived_cl237])).
% 10.83/2.17 thf(zip_derived_cl3701, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X2) @ (multiply @ (inverse @ X0) @ X1))
% 10.83/2.17 = (multiply @ (inverse @ (multiply @ X0 @ X2)) @ X1))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl3632, zip_derived_cl3460, zip_derived_cl3460,
% 10.83/2.17 zip_derived_cl3508, zip_derived_cl3460])).
% 10.83/2.17 thf(zip_derived_cl3915, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i]:
% 10.83/2.17 ((inverse @ (multiply @ X1 @ X0))
% 10.83/2.17 = (multiply @ (inverse @ X0) @ (inverse @ X1)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3888, zip_derived_cl3460])).
% 10.83/2.17 thf(zip_derived_cl4860, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X2) @ (multiply @ (inverse @ X0) @ X1))
% 10.83/2.17 = (multiply @ (multiply @ (inverse @ X2) @ (inverse @ X0)) @ X1))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl3701, zip_derived_cl3915])).
% 10.83/2.17 thf(zip_derived_cl4900, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X2) @
% 10.83/2.17 (multiply @ (inverse @ (inverse @ X0)) @ X1))
% 10.83/2.17 = (multiply @ (multiply @ (inverse @ X2) @ X0) @ X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3777, zip_derived_cl4860])).
% 10.83/2.17 thf(zip_derived_cl3777, plain,
% 10.83/2.17 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3700, zip_derived_cl3508])).
% 10.83/2.17 thf(zip_derived_cl4928, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ X2) @ (multiply @ X0 @ X1))
% 10.83/2.17 = (multiply @ (multiply @ (inverse @ X2) @ X0) @ X1))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl4900, zip_derived_cl3777])).
% 10.83/2.17 thf(zip_derived_cl5000, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ (inverse @ (inverse @ X0)) @ (multiply @ X2 @ X1))
% 10.83/2.17 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3777, zip_derived_cl4928])).
% 10.83/2.17 thf(zip_derived_cl3777, plain,
% 10.83/2.17 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 10.83/2.17 inference('sup+', [status(thm)], [zip_derived_cl3700, zip_derived_cl3508])).
% 10.83/2.17 thf(zip_derived_cl5022, plain,
% 10.83/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.83/2.17 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 10.83/2.17 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl5000, zip_derived_cl3777])).
% 10.83/2.17 thf(zip_derived_cl5040, plain,
% 10.83/2.17 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 10.83/2.17 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 10.83/2.17 inference('demod', [status(thm)],
% 10.83/2.17 [zip_derived_cl4165, zip_derived_cl5022])).
% 10.83/2.17 thf(zip_derived_cl5041, plain, ($false),
% 10.83/2.17 inference('simplify', [status(thm)], [zip_derived_cl5040])).
% 10.83/2.17
% 10.83/2.17 % SZS output end Refutation
% 10.83/2.17
% 10.83/2.17
% 10.83/2.17 % Terminating...
% 11.57/2.26 % Runner terminated.
% 11.57/2.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------