%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP407-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NfA0qmU6bQ true
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:36:23 PM UTC 2025
% Result : Unsatisfiable 20.53s 3.49s
% Output : Refutation 20.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP407-1 : TPTP v9.2.0. Released v2.6.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NfA0qmU6bQ true
% 0.10/0.30 % Computer : n011.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 14:21:53 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.17/0.55 % Total configuration time : 435
% 0.17/0.55 % Estimated wc time : 1092
% 0.17/0.55 % Estimated cpu time (7 cpus) : 156.0
% 1.07/0.64 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.07/0.65 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.65 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.65 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.18/0.65 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.18/0.65 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 20.53/3.49 % Solved by fo/fo7.sh.
% 20.53/3.49 % done 394 iterations in 2.812s
% 20.53/3.49 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 20.53/3.49 % SZS output start Refutation
% 20.53/3.49 thf(inverse_type, type, inverse: $i > $i).
% 20.53/3.49 thf(a2_type, type, a2: $i).
% 20.53/3.49 thf(multiply_type, type, multiply: $i > $i > $i).
% 20.53/3.49 thf(b2_type, type, b2: $i).
% 20.53/3.49 thf(single_axiom, axiom,
% 20.53/3.49 (( multiply @
% 20.53/3.49 A @
% 20.53/3.49 ( inverse @
% 20.53/3.49 ( multiply @
% 20.53/3.49 ( inverse @ ( multiply @ ( inverse @ ( multiply @ A @ B ) ) @ C ) ) @
% 20.53/3.49 ( multiply @ ( inverse @ B ) @ ( multiply @ ( inverse @ B ) @ B ) ) ) ) ) =
% 20.53/3.49 ( C ))).
% 20.53/3.49 thf(zip_derived_cl0, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ X1 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 20.53/3.49 = (X0))),
% 20.53/3.49 inference('cnf', [status(esa)], [single_axiom])).
% 20.53/3.49 thf(zip_derived_cl0, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ X1 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 20.53/3.49 = (X0))),
% 20.53/3.49 inference('cnf', [status(esa)], [single_axiom])).
% 20.53/3.49 thf(zip_derived_cl0, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ X1 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 20.53/3.49 = (X0))),
% 20.53/3.49 inference('cnf', [status(esa)], [single_axiom])).
% 20.53/3.49 thf(zip_derived_cl3, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.53/3.49 ((multiply @ X3 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ X0) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 20.53/3.49 X0)) @
% 20.53/3.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl3, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.53/3.49 ((multiply @ X3 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ X0) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 20.53/3.49 X0)) @
% 20.53/3.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl0, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ X1 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 20.53/3.49 = (X0))),
% 20.53/3.49 inference('cnf', [status(esa)], [single_axiom])).
% 20.53/3.49 thf(zip_derived_cl15, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 20.53/3.49 (multiply @ X2 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ X1) @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 20.53/3.49 = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl39, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 20.53/3.49 (multiply @ X4 @
% 20.53/3.49 (multiply @ X2 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ X1) @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))))
% 20.53/3.49 = (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X3)) @
% 20.53/3.49 X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 20.53/3.49 thf(zip_derived_cl83, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 20.53/3.49 = (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 20.53/3.49 thf(zip_derived_cl3, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.53/3.49 ((multiply @ X3 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ X0) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 20.53/3.49 X0)) @
% 20.53/3.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl140, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @ X4 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X4 @ X3)) @ X0)) @
% 20.53/3.49 (multiply @ (inverse @ X3) @ (multiply @ (inverse @ X3) @ X3)))))
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 20.53/3.49 (multiply @ X1 @ X0))) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl3])).
% 20.53/3.49 thf(zip_derived_cl0, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ X1 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 20.53/3.49 = (X0))),
% 20.53/3.49 inference('cnf', [status(esa)], [single_axiom])).
% 20.53/3.49 thf(zip_derived_cl237, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((X0)
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 20.53/3.49 (multiply @ X1 @ X0))) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl0, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ X1 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 20.53/3.49 = (X0))),
% 20.53/3.49 inference('cnf', [status(esa)], [single_axiom])).
% 20.53/3.49 thf(zip_derived_cl346, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ X0 @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 20.53/3.49 (multiply @ X2 @ X0))))))
% 20.53/3.49 = (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl15, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 20.53/3.49 (multiply @ X2 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ X1) @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 20.53/3.49 = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl840, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 20.53/3.49 (multiply @ X2 @ (inverse @ X1)))) @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))
% 20.53/3.49 = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl15])).
% 20.53/3.49 thf(zip_derived_cl237, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((X0)
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 20.53/3.49 (multiply @ X1 @ X0))) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl83, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 20.53/3.49 = (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 20.53/3.49 thf(zip_derived_cl83, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 20.53/3.49 = (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 20.53/3.49 thf(zip_derived_cl149, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 20.53/3.49 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 20.53/3.49 (multiply @ X1 @ X0)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl83])).
% 20.53/3.49 thf(zip_derived_cl339, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ X4 @
% 20.53/3.49 (multiply @ (inverse @ X3) @ (multiply @ (inverse @ X3) @ X3)))) @
% 20.53/3.49 (multiply @ X4 @ X1))
% 20.53/3.49 = (multiply @ X0 @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 20.53/3.49 (multiply @ X2 @ X0))) @
% 20.53/3.49 X1)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl149])).
% 20.53/3.49 thf(zip_derived_cl339, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ X4 @
% 20.53/3.49 (multiply @ (inverse @ X3) @ (multiply @ (inverse @ X3) @ X3)))) @
% 20.53/3.49 (multiply @ X4 @ X1))
% 20.53/3.49 = (multiply @ X0 @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 20.53/3.49 (multiply @ X2 @ X0))) @
% 20.53/3.49 X1)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl149])).
% 20.53/3.49 thf(zip_derived_cl536, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 20.53/3.49 ((multiply @ X1 @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 20.53/3.49 (multiply @ X2 @ X1))) @
% 20.53/3.49 X0))
% 20.53/3.49 = (multiply @ X4 @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X5 @ X3)) @
% 20.53/3.49 (multiply @ X5 @ X4))) @
% 20.53/3.49 X0)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl339, zip_derived_cl339])).
% 20.53/3.49 thf(zip_derived_cl980, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ X0) @ X0)
% 20.53/3.49 = (multiply @ X2 @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 20.53/3.49 (multiply @ X3 @ X2))) @
% 20.53/3.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl536])).
% 20.53/3.49 thf(zip_derived_cl980, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ X0) @ X0)
% 20.53/3.49 = (multiply @ X2 @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 20.53/3.49 (multiply @ X3 @ X2))) @
% 20.53/3.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl536])).
% 20.53/3.49 thf(zip_derived_cl1075, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl980])).
% 20.53/3.49 thf(zip_derived_cl237, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((X0)
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 20.53/3.49 (multiply @ X1 @ X0))) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl237, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((X0)
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 20.53/3.49 (multiply @ X1 @ X0))) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl1075, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl980])).
% 20.53/3.49 thf(zip_derived_cl980, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ X0) @ X0)
% 20.53/3.49 = (multiply @ X2 @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 20.53/3.49 (multiply @ X3 @ X2))) @
% 20.53/3.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl536])).
% 20.53/3.49 thf(zip_derived_cl3, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.53/3.49 ((multiply @ X3 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ X0) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 20.53/3.49 X0)) @
% 20.53/3.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl1078, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 20.53/3.49 ((multiply @ X4 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X5 @ X2)) @
% 20.53/3.49 (multiply @ X5 @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X4 @ X3)) @ X1))))) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))) @
% 20.53/3.49 (multiply @ (inverse @ X3) @ (multiply @ (inverse @ X3) @ X3)))))
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 20.53/3.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl3])).
% 20.53/3.49 thf(zip_derived_cl840, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 20.53/3.49 (multiply @ X2 @ (inverse @ X1)))) @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))
% 20.53/3.49 = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl15])).
% 20.53/3.49 thf(zip_derived_cl0, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ X1 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 20.53/3.49 = (X0))),
% 20.53/3.49 inference('cnf', [status(esa)], [single_axiom])).
% 20.53/3.49 thf(zip_derived_cl1241, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((X1)
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 20.53/3.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 20.53/3.49 inference('demod', [status(thm)],
% 20.53/3.49 [zip_derived_cl1078, zip_derived_cl840, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl237, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((X0)
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 20.53/3.49 (multiply @ X1 @ X0))) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl1723, plain,
% 20.53/3.49 (![X0 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ X0) @ X0)
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @ X0 @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl1241, zip_derived_cl237])).
% 20.53/3.49 thf(zip_derived_cl15, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 20.53/3.49 (multiply @ X2 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ X1) @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 20.53/3.49 = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl2089, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X1 @ (inverse @ X0))) @
% 20.53/3.49 (multiply @ X1 @
% 20.53/3.49 (multiply @ (inverse @ (inverse @ X0)) @ (inverse @ X0))))
% 20.53/3.49 = (X0))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl1723, zip_derived_cl15])).
% 20.53/3.49 thf(zip_derived_cl1075, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl980])).
% 20.53/3.49 thf(zip_derived_cl2167, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X1 @ (inverse @ X0))) @
% 20.53/3.49 (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0))) = (X0))),
% 20.53/3.49 inference('demod', [status(thm)],
% 20.53/3.49 [zip_derived_cl2089, zip_derived_cl1075])).
% 20.53/3.49 thf(zip_derived_cl3374, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X2 @ (inverse @ X1))) @
% 20.53/3.49 (multiply @ X2 @ (multiply @ (inverse @ X0) @ X0))) = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl1075, zip_derived_cl2167])).
% 20.53/3.49 thf(zip_derived_cl15, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 20.53/3.49 (multiply @ X2 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ X1) @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 20.53/3.49 = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl3935, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 20.53/3.49 (multiply @ X2 @ (inverse @ X0)))
% 20.53/3.49 = (multiply @ (inverse @ X1) @ (inverse @ X0)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl3374, zip_derived_cl15])).
% 20.53/3.49 thf(zip_derived_cl4137, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 20.53/3.49 = (multiply @ (inverse @ X3) @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 20.53/3.49 (multiply @ X2 @ X0))) @
% 20.53/3.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1))))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl3935])).
% 20.53/3.49 thf(zip_derived_cl237, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((X0)
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 20.53/3.49 (multiply @ X1 @ X0))) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl4173, plain,
% 20.53/3.49 (![X0 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 20.53/3.49 = (multiply @ (inverse @ X3) @ X0))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl4137, zip_derived_cl237])).
% 20.53/3.49 thf(zip_derived_cl4173, plain,
% 20.53/3.49 (![X0 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 20.53/3.49 = (multiply @ (inverse @ X3) @ X0))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl4137, zip_derived_cl237])).
% 20.53/3.49 thf(zip_derived_cl4236, plain,
% 20.53/3.49 (![X0 : $i, X2 : $i]:
% 20.53/3.49 ((X0)
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X2) @ X2))))),
% 20.53/3.49 inference('demod', [status(thm)],
% 20.53/3.49 [zip_derived_cl237, zip_derived_cl4173, zip_derived_cl4173])).
% 20.53/3.49 thf(zip_derived_cl15, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 20.53/3.49 (multiply @ X2 @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ X1) @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 20.53/3.49 = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 20.53/3.49 thf(zip_derived_cl4391, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ X0 @
% 20.53/3.49 (multiply @ (inverse @ X0) @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ X1) @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 20.53/3.49 (multiply @ (inverse @ X2) @ X2)))))))
% 20.53/3.49 = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl4236, zip_derived_cl15])).
% 20.53/3.49 thf(zip_derived_cl4173, plain,
% 20.53/3.49 (![X0 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 20.53/3.49 = (multiply @ (inverse @ X3) @ X0))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl4137, zip_derived_cl237])).
% 20.53/3.49 thf(zip_derived_cl4173, plain,
% 20.53/3.49 (![X0 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 20.53/3.49 = (multiply @ (inverse @ X3) @ X0))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl4137, zip_derived_cl237])).
% 20.53/3.49 thf(zip_derived_cl4236, plain,
% 20.53/3.49 (![X0 : $i, X2 : $i]:
% 20.53/3.49 ((X0)
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X2) @ X2))))),
% 20.53/3.49 inference('demod', [status(thm)],
% 20.53/3.49 [zip_derived_cl237, zip_derived_cl4173, zip_derived_cl4173])).
% 20.53/3.49 thf(zip_derived_cl4477, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 20.53/3.49 inference('demod', [status(thm)],
% 20.53/3.49 [zip_derived_cl4391, zip_derived_cl4173, zip_derived_cl4173,
% 20.53/3.49 zip_derived_cl4236])).
% 20.53/3.49 thf(zip_derived_cl4571, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl1075, zip_derived_cl4477])).
% 20.53/3.49 thf(zip_derived_cl4173, plain,
% 20.53/3.49 (![X0 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 20.53/3.49 = (multiply @ (inverse @ X3) @ X0))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl4137, zip_derived_cl237])).
% 20.53/3.49 thf(zip_derived_cl4674, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0)
% 20.53/3.49 = (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X1)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl4571, zip_derived_cl4173])).
% 20.53/3.49 thf(zip_derived_cl4571, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl1075, zip_derived_cl4477])).
% 20.53/3.49 thf(zip_derived_cl4706, plain,
% 20.53/3.49 (![X0 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0) = (inverse @ X2))),
% 20.53/3.49 inference('demod', [status(thm)],
% 20.53/3.49 [zip_derived_cl4674, zip_derived_cl4571])).
% 20.53/3.49 thf(zip_derived_cl4477, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 20.53/3.49 inference('demod', [status(thm)],
% 20.53/3.49 [zip_derived_cl4391, zip_derived_cl4173, zip_derived_cl4173,
% 20.53/3.49 zip_derived_cl4236])).
% 20.53/3.49 thf(zip_derived_cl4236, plain,
% 20.53/3.49 (![X0 : $i, X2 : $i]:
% 20.53/3.49 ((X0)
% 20.53/3.49 = (inverse @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X2) @ X2))))),
% 20.53/3.49 inference('demod', [status(thm)],
% 20.53/3.49 [zip_derived_cl237, zip_derived_cl4173, zip_derived_cl4173])).
% 20.53/3.49 thf(zip_derived_cl4566, plain,
% 20.53/3.49 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl4477, zip_derived_cl4236])).
% 20.53/3.49 thf(zip_derived_cl4571, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl1075, zip_derived_cl4477])).
% 20.53/3.49 thf(zip_derived_cl4701, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl4566, zip_derived_cl4571])).
% 20.53/3.49 thf(zip_derived_cl4173, plain,
% 20.53/3.49 (![X0 : $i, X3 : $i, X4 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 20.53/3.49 = (multiply @ (inverse @ X3) @ X0))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl4137, zip_derived_cl237])).
% 20.53/3.49 thf(zip_derived_cl4740, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i]:
% 20.53/3.49 ((inverse @ (multiply @ X1 @ X0))
% 20.53/3.49 = (multiply @ (inverse @ X0) @ (inverse @ X1)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl4701, zip_derived_cl4173])).
% 20.53/3.49 thf(zip_derived_cl4804, plain,
% 20.53/3.49 (![X0 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @ (multiply @ (inverse @ X2) @ (inverse @ X0)) @ X0)
% 20.53/3.49 = (inverse @ X2))),
% 20.53/3.49 inference('demod', [status(thm)],
% 20.53/3.49 [zip_derived_cl4706, zip_derived_cl4740])).
% 20.53/3.49 thf(zip_derived_cl980, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ X0) @ X0)
% 20.53/3.49 = (multiply @ X2 @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 20.53/3.49 (multiply @ X3 @ X2))) @
% 20.53/3.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl536])).
% 20.53/3.49 thf(prove_these_axioms_2, conjecture,
% 20.53/3.49 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 20.53/3.49 thf(zf_stmt_0, negated_conjecture,
% 20.53/3.49 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 20.53/3.49 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 20.53/3.49 thf(zip_derived_cl1, plain,
% 20.53/3.49 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 20.53/3.49 inference('cnf', [status(esa)], [zf_stmt_0])).
% 20.53/3.49 thf(zip_derived_cl1148, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.53/3.49 ((multiply @
% 20.53/3.49 (multiply @ X1 @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 20.53/3.49 (multiply @ X2 @ X1))) @
% 20.53/3.49 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))) @
% 20.53/3.49 a2) != (a2))),
% 20.53/3.49 inference('sup-', [status(thm)], [zip_derived_cl980, zip_derived_cl1])).
% 20.53/3.49 thf(zip_derived_cl980, plain,
% 20.53/3.49 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.53/3.49 ((multiply @ (inverse @ X0) @ X0)
% 20.53/3.49 = (multiply @ X2 @
% 20.53/3.49 (multiply @
% 20.53/3.49 (inverse @
% 20.53/3.49 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 20.53/3.49 (multiply @ X3 @ X2))) @
% 20.53/3.49 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl536])).
% 20.53/3.49 thf(zip_derived_cl1307, plain,
% 20.53/3.49 (![X0 : $i]: ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))),
% 20.53/3.49 inference('demod', [status(thm)], [zip_derived_cl1148, zip_derived_cl980])).
% 20.53/3.49 thf(zip_derived_cl4810, plain, (((inverse @ (inverse @ a2)) != (a2))),
% 20.53/3.49 inference('sup-', [status(thm)], [zip_derived_cl4804, zip_derived_cl1307])).
% 20.53/3.49 thf(zip_derived_cl4566, plain,
% 20.53/3.49 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 20.53/3.49 inference('sup+', [status(thm)], [zip_derived_cl4477, zip_derived_cl4236])).
% 20.53/3.49 thf(zip_derived_cl4831, plain, (((a2) != (a2))),
% 20.53/3.49 inference('demod', [status(thm)],
% 20.53/3.49 [zip_derived_cl4810, zip_derived_cl4566])).
% 20.53/3.49 thf(zip_derived_cl4832, plain, ($false),
% 20.53/3.49 inference('simplify', [status(thm)], [zip_derived_cl4831])).
% 20.53/3.49
% 20.53/3.49 % SZS output end Refutation
% 20.53/3.49
% 20.53/3.49
% 20.53/3.49 % Terminating...
% 20.94/3.56 % Runner terminated.
% 20.94/3.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------