%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP062-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.njMh2BYCgN 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 Oct 2 04:35:33 PM UTC 2025
% Result : Unsatisfiable 40.49s 6.40s
% Output : Refutation 40.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP062-1 : TPTP v9.2.0. Released v1.0.0.
% 0.03/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.njMh2BYCgN true
% 0.10/0.31 % Computer : n022.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 14:19:53 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.47/0.57 % Total configuration time : 435
% 0.47/0.57 % Estimated wc time : 1092
% 0.47/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 40.49/6.40 % Solved by fo/fo7.sh.
% 40.49/6.40 % done 1158 iterations in 5.680s
% 40.49/6.40 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 40.49/6.40 % SZS output start Refutation
% 40.49/6.40 thf(a1_type, type, a1: $i).
% 40.49/6.40 thf(a3_type, type, a3: $i).
% 40.49/6.40 thf(b1_type, type, b1: $i).
% 40.49/6.40 thf(inverse_type, type, inverse: $i > $i).
% 40.49/6.40 thf(multiply_type, type, multiply: $i > $i > $i).
% 40.49/6.40 thf(c3_type, type, c3: $i).
% 40.49/6.40 thf(a2_type, type, a2: $i).
% 40.49/6.40 thf(b3_type, type, b3: $i).
% 40.49/6.40 thf(b2_type, type, b2: $i).
% 40.49/6.40 thf(single_axiom, axiom,
% 40.49/6.40 (( inverse @
% 40.49/6.40 ( multiply @
% 40.49/6.40 X @
% 40.49/6.40 ( multiply @
% 40.49/6.40 Y @
% 40.49/6.40 ( multiply @
% 40.49/6.40 ( multiply @ Z @ ( inverse @ Z ) ) @
% 40.49/6.40 ( inverse @ ( multiply @ U @ ( multiply @ X @ Y ) ) ) ) ) ) ) =
% 40.49/6.40 ( U ))).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl3, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))) @
% 40.49/6.40 (multiply @ (multiply @ X4 @ (inverse @ X4)) @ X0))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl3, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))) @
% 40.49/6.40 (multiply @ (multiply @ X4 @ (inverse @ X4)) @ X0))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl3, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))) @
% 40.49/6.40 (multiply @ (multiply @ X4 @ (inverse @ X4)) @ X0))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl10, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (multiply @ (multiply @ X5 @ (inverse @ X5)) @ X2) @
% 40.49/6.40 (multiply @ (multiply @ (multiply @ X6 @ (inverse @ X6)) @ X0) @
% 40.49/6.40 (multiply @ (multiply @ X4 @ (inverse @ X4)) @ X1))))
% 40.49/6.40 = (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (multiply @ X0 @ X1)))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 40.49/6.40 thf(zip_derived_cl3, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))) @
% 40.49/6.40 (multiply @ (multiply @ X4 @ (inverse @ X4)) @ X0))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl9, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @
% 40.49/6.40 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (multiply @ X0 @ X1)))) @
% 40.49/6.40 (multiply @ (multiply @ (multiply @ X3 @ (inverse @ X3)) @ X2) @
% 40.49/6.40 (multiply @ (multiply @ X5 @ (inverse @ X5)) @ X0))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl98, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ (inverse @ (multiply @ X1 @ (multiply @ X0 @ X2))) @
% 40.49/6.40 (multiply @ X1 @ X0))))
% 40.49/6.40 = (X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 40.49/6.40 thf(zip_derived_cl154, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X5 @ (inverse @ X5)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ X0 @
% 40.49/6.40 (multiply @ X3 @
% 40.49/6.40 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (multiply @ X0 @ X3))))))))
% 40.49/6.40 = (multiply @ (multiply @ X2 @ (inverse @ X2)) @ X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl98])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl164, plain,
% 40.49/6.40 (![X1 : $i, X2 : $i, X5 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X5 @ (inverse @ X5)) @ X1)
% 40.49/6.40 = (multiply @ (multiply @ X2 @ (inverse @ X2)) @ X1))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl164, plain,
% 40.49/6.40 (![X1 : $i, X2 : $i, X5 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X5 @ (inverse @ X5)) @ X1)
% 40.49/6.40 = (multiply @ (multiply @ X2 @ (inverse @ X2)) @ X1))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl188, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @
% 40.49/6.40 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (inverse @ X0)))) @
% 40.49/6.40 X2) = (multiply @ (multiply @ X3 @ (inverse @ X3)) @ X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl164])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl317, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X0 @
% 40.49/6.40 (multiply @ (multiply @ X5 @ (inverse @ X5)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (inverse @ X2)))) @
% 40.49/6.40 (multiply @ X1 @ X0)))))))
% 40.49/6.40 = (multiply @ X4 @ (inverse @ X4)))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl188, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl188, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @
% 40.49/6.40 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (inverse @ X0)))) @
% 40.49/6.40 X2) = (multiply @ (multiply @ X3 @ (inverse @ X3)) @ X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl164])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl445, plain,
% 40.49/6.40 (![X3 : $i, X4 : $i]:
% 40.49/6.40 ((multiply @ X3 @ (inverse @ X3)) = (multiply @ X4 @ (inverse @ X4)))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl317, zip_derived_cl188, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl445, plain,
% 40.49/6.40 (![X3 : $i, X4 : $i]:
% 40.49/6.40 ((multiply @ X3 @ (inverse @ X3)) = (multiply @ X4 @ (inverse @ X4)))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl317, zip_derived_cl188, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl534, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 40.49/6.40 ((multiply @
% 40.49/6.40 (multiply @ X3 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X3 @ X2)))))) @
% 40.49/6.40 X0) = (multiply @ X1 @ (inverse @ X1)))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl445])).
% 40.49/6.40 thf(zip_derived_cl445, plain,
% 40.49/6.40 (![X3 : $i, X4 : $i]:
% 40.49/6.40 ((multiply @ X3 @ (inverse @ X3)) = (multiply @ X4 @ (inverse @ X4)))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl317, zip_derived_cl188, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl98, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ (inverse @ (multiply @ X1 @ (multiply @ X0 @ X2))) @
% 40.49/6.40 (multiply @ X1 @ X0))))
% 40.49/6.40 = (X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 40.49/6.40 thf(zip_derived_cl469, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (multiply @ X0 @ (inverse @ X0)))) @
% 40.49/6.40 (multiply @ X2 @ X1))))
% 40.49/6.40 = (inverse @ X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl445, zip_derived_cl98])).
% 40.49/6.40 thf(zip_derived_cl445, plain,
% 40.49/6.40 (![X3 : $i, X4 : $i]:
% 40.49/6.40 ((multiply @ X3 @ (inverse @ X3)) = (multiply @ X4 @ (inverse @ X4)))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl317, zip_derived_cl188, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl462, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (inverse @ X2) @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl445, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl1176, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X3 @
% 40.49/6.40 (multiply @ (inverse @ X3) @ (inverse @ (inverse @ X0)))))
% 40.49/6.40 = (inverse @ (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1)))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl469, zip_derived_cl462])).
% 40.49/6.40 thf(zip_derived_cl3339, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X5 @
% 40.49/6.40 (multiply @ (inverse @ X5) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ X3 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 40.49/6.40 (multiply @ X3 @ X2)))))))))))
% 40.49/6.40 = (inverse @ (multiply @ X0 @ (inverse @ X0))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl534, zip_derived_cl1176])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl3531, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X5 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X5 @
% 40.49/6.40 (multiply @ (inverse @ X5) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (inverse @ X1))))))
% 40.49/6.40 = (inverse @ (multiply @ X0 @ (inverse @ X0))))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl3339, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl3531, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X5 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X5 @
% 40.49/6.40 (multiply @ (inverse @ X5) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (inverse @ X1))))))
% 40.49/6.40 = (inverse @ (multiply @ X0 @ (inverse @ X0))))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl3339, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl3606, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X3 @
% 40.49/6.40 (multiply @ (inverse @ X3) @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (inverse @ X2))))))
% 40.49/6.40 = (inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (inverse @ X0)))))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl3531, zip_derived_cl3531])).
% 40.49/6.40 thf(zip_derived_cl98, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ (inverse @ (multiply @ X1 @ (multiply @ X0 @ X2))) @
% 40.49/6.40 (multiply @ X1 @ X0))))
% 40.49/6.40 = (X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 40.49/6.40 thf(zip_derived_cl462, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (inverse @ X2) @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl445, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl1175, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X0)))
% 40.49/6.40 = (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl462])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl1235, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X2) @
% 40.49/6.40 (multiply @ X0 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))))))
% 40.49/6.40 = (X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl1175, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl4096, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (inverse @ X0)))))) @
% 40.49/6.40 (multiply @ X4 @
% 40.49/6.40 (multiply @ (multiply @ X6 @ (inverse @ X6)) @
% 40.49/6.40 (inverse @ (multiply @ X5 @ (multiply @ (inverse @ X5) @ X4)))))))
% 40.49/6.40 = (multiply @ X3 @
% 40.49/6.40 (multiply @ (inverse @ X3) @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (inverse @ X2))))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl3606, zip_derived_cl1235])).
% 40.49/6.40 thf(zip_derived_cl3531, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X5 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X5 @
% 40.49/6.40 (multiply @ (inverse @ X5) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (inverse @ X1))))))
% 40.49/6.40 = (inverse @ (multiply @ X0 @ (inverse @ X0))))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl3339, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl1235, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X2) @
% 40.49/6.40 (multiply @ X0 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))))))
% 40.49/6.40 = (X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl1175, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl4419, plain,
% 40.49/6.40 (![X0 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ X0 @ (inverse @ X0))
% 40.49/6.40 = (multiply @ X3 @
% 40.49/6.40 (multiply @ (inverse @ X3) @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (inverse @ X2))))))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl4096, zip_derived_cl3531, zip_derived_cl1235])).
% 40.49/6.40 thf(zip_derived_cl98, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ (inverse @ (multiply @ X1 @ (multiply @ X0 @ X2))) @
% 40.49/6.40 (multiply @ X1 @ X0))))
% 40.49/6.40 = (X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 40.49/6.40 thf(zip_derived_cl4570, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @
% 40.49/6.40 (inverse @ (multiply @ X3 @ (multiply @ X0 @ (inverse @ X0)))) @
% 40.49/6.40 (multiply @ X3 @ X2))))
% 40.49/6.40 = (multiply @ (inverse @ X2) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl4419, zip_derived_cl98])).
% 40.49/6.40 thf(zip_derived_cl469, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (multiply @ X0 @ (inverse @ X0)))) @
% 40.49/6.40 (multiply @ X2 @ X1))))
% 40.49/6.40 = (inverse @ X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl445, zip_derived_cl98])).
% 40.49/6.40 thf(zip_derived_cl4781, plain,
% 40.49/6.40 (![X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @ X2)
% 40.49/6.40 = (multiply @ (inverse @ X2) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl4570, zip_derived_cl469])).
% 40.49/6.40 thf(zip_derived_cl445, plain,
% 40.49/6.40 (![X3 : $i, X4 : $i]:
% 40.49/6.40 ((multiply @ X3 @ (inverse @ X3)) = (multiply @ X4 @ (inverse @ X4)))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl317, zip_derived_cl188, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl98, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ (inverse @ (multiply @ X1 @ (multiply @ X0 @ X2))) @
% 40.49/6.40 (multiply @ X1 @ X0))))
% 40.49/6.40 = (X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 40.49/6.40 thf(zip_derived_cl468, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X1))) @
% 40.49/6.40 (multiply @ X0 @ (inverse @ X0)))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl445, zip_derived_cl98])).
% 40.49/6.40 thf(zip_derived_cl1235, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X2) @
% 40.49/6.40 (multiply @ X0 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))))))
% 40.49/6.40 = (X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl1175, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl1802, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (multiply @
% 40.49/6.40 (inverse @
% 40.49/6.40 (inverse @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X0))))) @
% 40.49/6.40 X0)))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl468, zip_derived_cl1235])).
% 40.49/6.40 thf(zip_derived_cl4887, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (multiply @
% 40.49/6.40 (inverse @
% 40.49/6.40 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))) @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (inverse @ X2))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl4781, zip_derived_cl1802])).
% 40.49/6.40 thf(zip_derived_cl4781, plain,
% 40.49/6.40 (![X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @ X2)
% 40.49/6.40 = (multiply @ (inverse @ X2) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl4570, zip_derived_cl469])).
% 40.49/6.40 thf(zip_derived_cl4951, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (inverse @ (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl4887, zip_derived_cl4781])).
% 40.49/6.40 thf(zip_derived_cl4951, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (inverse @ (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl4887, zip_derived_cl4781])).
% 40.49/6.40 thf(zip_derived_cl5136, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X0 @
% 40.49/6.40 (inverse @ (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))))))
% 40.49/6.40 = (multiply @ (inverse @ X0) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl4951, zip_derived_cl4951])).
% 40.49/6.40 thf(zip_derived_cl4951, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (inverse @ (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl4887, zip_derived_cl4781])).
% 40.49/6.40 thf(zip_derived_cl5358, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((multiply @ (inverse @ (inverse @ X1)) @
% 40.49/6.40 (inverse @ (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl5136, zip_derived_cl4951])).
% 40.49/6.40 thf(zip_derived_cl1802, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (multiply @
% 40.49/6.40 (inverse @
% 40.49/6.40 (inverse @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X0))))) @
% 40.49/6.40 X0)))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl468, zip_derived_cl1235])).
% 40.49/6.40 thf(zip_derived_cl5821, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (multiply @
% 40.49/6.40 (inverse @
% 40.49/6.40 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2))))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl5358, zip_derived_cl1802])).
% 40.49/6.40 thf(zip_derived_cl5358, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((multiply @ (inverse @ (inverse @ X1)) @
% 40.49/6.40 (inverse @ (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl5136, zip_derived_cl4951])).
% 40.49/6.40 thf(zip_derived_cl5891, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl5821, zip_derived_cl5358])).
% 40.49/6.40 thf(zip_derived_cl5891, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl5821, zip_derived_cl5358])).
% 40.49/6.40 thf(zip_derived_cl5953, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X2) @ X2))))
% 40.49/6.40 = (multiply @ (inverse @ X0) @
% 40.49/6.40 (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl5891, zip_derived_cl5891])).
% 40.49/6.40 thf(zip_derived_cl5891, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl5821, zip_derived_cl5358])).
% 40.49/6.40 thf(zip_derived_cl6223, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl5953, zip_derived_cl5891])).
% 40.49/6.40 thf(zip_derived_cl7423, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 40.49/6.40 = (multiply @ (inverse @ X1) @ X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl445, zip_derived_cl6223])).
% 40.49/6.40 thf(zip_derived_cl7423, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 40.49/6.40 = (multiply @ (inverse @ X1) @ X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl445, zip_derived_cl6223])).
% 40.49/6.40 thf(zip_derived_cl7753, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl7423, zip_derived_cl7423])).
% 40.49/6.40 thf(prove_these_axioms, conjecture,
% 40.49/6.40 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 40.49/6.40 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 40.49/6.40 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 40.49/6.40 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 40.49/6.40 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 40.49/6.40 thf(zf_stmt_0, negated_conjecture,
% 40.49/6.40 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 40.49/6.40 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 40.49/6.40 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 40.49/6.40 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 40.49/6.40 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 40.49/6.40 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 40.49/6.40 thf(zip_derived_cl1, plain,
% 40.49/6.40 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 40.49/6.40 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 40.49/6.40 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 40.49/6.40 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 40.49/6.40 inference('cnf', [status(esa)], [zf_stmt_0])).
% 40.49/6.40 thf(zip_derived_cl7995, plain,
% 40.49/6.40 (![X0 : $i]:
% 40.49/6.40 (((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))
% 40.49/6.40 | ((multiply @ (inverse @ a1) @ a1)
% 40.49/6.40 != (multiply @ (inverse @ b1) @ b1))
% 40.49/6.40 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 40.49/6.40 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 40.49/6.40 inference('sup-', [status(thm)], [zip_derived_cl7753, zip_derived_cl1])).
% 40.49/6.40 thf(zip_derived_cl7423, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 40.49/6.40 = (multiply @ (inverse @ X1) @ X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl445, zip_derived_cl6223])).
% 40.49/6.40 thf(zip_derived_cl8171, plain,
% 40.49/6.40 (![X0 : $i]:
% 40.49/6.40 (((multiply @
% 40.49/6.40 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) @ a2)
% 40.49/6.40 != (a2))
% 40.49/6.40 | ((multiply @ (inverse @ a1) @ a1)
% 40.49/6.40 != (multiply @ (inverse @ b1) @ b1))
% 40.49/6.40 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 40.49/6.40 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl7995, zip_derived_cl7423])).
% 40.49/6.40 thf(zip_derived_cl7753, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl7423, zip_derived_cl7423])).
% 40.49/6.40 thf(zip_derived_cl8172, plain,
% 40.49/6.40 (![X0 : $i]:
% 40.49/6.40 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 40.49/6.40 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 40.49/6.40 | ((multiply @
% 40.49/6.40 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) @ a2)
% 40.49/6.40 != (a2)))),
% 40.49/6.40 inference('simplify_reflect+', [status(thm)],
% 40.49/6.40 [zip_derived_cl8171, zip_derived_cl7753])).
% 40.49/6.40 thf(zip_derived_cl7423, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 40.49/6.40 = (multiply @ (inverse @ X1) @ X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl445, zip_derived_cl6223])).
% 40.49/6.40 thf(zip_derived_cl3531, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X5 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X5 @
% 40.49/6.40 (multiply @ (inverse @ X5) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (inverse @ X1))))))
% 40.49/6.40 = (inverse @ (multiply @ X0 @ (inverse @ X0))))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl3339, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl3683, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X2))) @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (inverse @ X0)))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl3531, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl188, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @
% 40.49/6.40 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (inverse @ X0)))) @
% 40.49/6.40 X2) = (multiply @ (multiply @ X3 @ (inverse @ X3)) @ X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl164])).
% 40.49/6.40 thf(zip_derived_cl188, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @
% 40.49/6.40 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (inverse @ X0)))) @
% 40.49/6.40 X2) = (multiply @ (multiply @ X3 @ (inverse @ X3)) @ X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl164])).
% 40.49/6.40 thf(zip_derived_cl333, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 40.49/6.40 ((multiply @
% 40.49/6.40 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 40.49/6.40 (inverse @ (multiply @ X3 @ (inverse @ X3)))) @
% 40.49/6.40 X0)
% 40.49/6.40 = (multiply @
% 40.49/6.40 (multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (inverse @ X1)))) @
% 40.49/6.40 X0))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl188, zip_derived_cl188])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl630, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X0 @
% 40.49/6.40 (multiply @ (multiply @ X6 @ (inverse @ X6)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X2 @ (inverse @ X2)))) @
% 40.49/6.40 (multiply @ X1 @ X0)))))))
% 40.49/6.40 = (multiply @ (multiply @ X5 @ (inverse @ X5)) @
% 40.49/6.40 (inverse @ (multiply @ X4 @ (inverse @ X4)))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl333, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl188, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @
% 40.49/6.40 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (inverse @ X0)))) @
% 40.49/6.40 X2) = (multiply @ (multiply @ X3 @ (inverse @ X3)) @ X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl164, zip_derived_cl164])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl830, plain,
% 40.49/6.40 (![X3 : $i, X4 : $i, X5 : $i]:
% 40.49/6.40 ((multiply @ X3 @ (inverse @ X3))
% 40.49/6.40 = (multiply @ (multiply @ X5 @ (inverse @ X5)) @
% 40.49/6.40 (inverse @ (multiply @ X4 @ (inverse @ X4)))))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl630, zip_derived_cl188, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl3873, plain,
% 40.49/6.40 (![X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X2))) @
% 40.49/6.40 (multiply @ X3 @ (inverse @ X3)))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl3683, zip_derived_cl830])).
% 40.49/6.40 thf(zip_derived_cl7656, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl7423, zip_derived_cl3873])).
% 40.49/6.40 thf(zip_derived_cl7656, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl7423, zip_derived_cl3873])).
% 40.49/6.40 thf(zip_derived_cl8355, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (inverse @ X0)))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl7656, zip_derived_cl7656])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl4781, plain,
% 40.49/6.40 (![X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @ X2)
% 40.49/6.40 = (multiply @ (inverse @ X2) @
% 40.49/6.40 (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl4570, zip_derived_cl469])).
% 40.49/6.40 thf(zip_derived_cl4917, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X3 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X4 @ (inverse @ X4)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X3 @ X2)))))))
% 40.49/6.40 = (multiply @ X0 @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4781])).
% 40.49/6.40 thf(zip_derived_cl0, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X1 @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (multiply @ X1 @ X2)))))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('cnf', [status(esa)], [single_axiom])).
% 40.49/6.40 thf(zip_derived_cl4936, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((X0) = (multiply @ X0 @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl4917, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl8420, plain,
% 40.49/6.40 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl8355, zip_derived_cl4936])).
% 40.49/6.40 thf(zip_derived_cl8450, plain,
% 40.49/6.40 (![X0 : $i]:
% 40.49/6.40 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 40.49/6.40 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 40.49/6.40 | ((multiply @ (multiply @ X0 @ (inverse @ X0)) @ a2) != (a2)))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl8172, zip_derived_cl8420])).
% 40.49/6.40 thf(zip_derived_cl830, plain,
% 40.49/6.40 (![X3 : $i, X4 : $i, X5 : $i]:
% 40.49/6.40 ((multiply @ X3 @ (inverse @ X3))
% 40.49/6.40 = (multiply @ (multiply @ X5 @ (inverse @ X5)) @
% 40.49/6.40 (inverse @ (multiply @ X4 @ (inverse @ X4)))))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl630, zip_derived_cl188, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl7656, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (inverse @ X1) @
% 40.49/6.40 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl7423, zip_derived_cl3873])).
% 40.49/6.40 thf(zip_derived_cl8344, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 40.49/6.40 (inverse @ (multiply @ X0 @ (inverse @ X0)))))
% 40.49/6.40 = (multiply @ X2 @ (inverse @ X2)))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl830, zip_derived_cl7656])).
% 40.49/6.40 thf(zip_derived_cl4936, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((X0) = (multiply @ X0 @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl4917, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl8413, plain,
% 40.49/6.40 (![X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @ (multiply @ X1 @ (inverse @ X1)))
% 40.49/6.40 = (multiply @ X2 @ (inverse @ X2)))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl8344, zip_derived_cl4936])).
% 40.49/6.40 thf(zip_derived_cl1175, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X3 : $i]:
% 40.49/6.40 ((inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X0)))
% 40.49/6.40 = (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl462])).
% 40.49/6.40 thf(zip_derived_cl9003, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @
% 40.49/6.40 (multiply @ X2 @
% 40.49/6.40 (multiply @ (inverse @ X2) @ (inverse @ (inverse @ X1)))))
% 40.49/6.40 = (inverse @
% 40.49/6.40 (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0))))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl8413, zip_derived_cl1175])).
% 40.49/6.40 thf(zip_derived_cl8420, plain,
% 40.49/6.40 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl8355, zip_derived_cl4936])).
% 40.49/6.40 thf(zip_derived_cl4936, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((X0) = (multiply @ X0 @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl4917, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl9166, plain,
% 40.49/6.40 (![X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X1)))
% 40.49/6.40 = (inverse @ X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl9003, zip_derived_cl8420, zip_derived_cl4936])).
% 40.49/6.40 thf(zip_derived_cl98, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ (inverse @ (multiply @ X1 @ (multiply @ X0 @ X2))) @
% 40.49/6.40 (multiply @ X1 @ X0))))
% 40.49/6.40 = (X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 40.49/6.40 thf(zip_derived_cl9340, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ (inverse @ X0) @ (multiply @ X1 @ (inverse @ X1)))))
% 40.49/6.40 = (X0))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl9166, zip_derived_cl98])).
% 40.49/6.40 thf(zip_derived_cl8413, plain,
% 40.49/6.40 (![X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @ (multiply @ X1 @ (inverse @ X1)))
% 40.49/6.40 = (multiply @ X2 @ (inverse @ X2)))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl8344, zip_derived_cl4936])).
% 40.49/6.40 thf(zip_derived_cl4936, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((X0) = (multiply @ X0 @ (inverse @ (multiply @ X1 @ (inverse @ X1)))))),
% 40.49/6.40 inference('demod', [status(thm)], [zip_derived_cl4917, zip_derived_cl0])).
% 40.49/6.40 thf(zip_derived_cl9084, plain,
% 40.49/6.40 (![X0 : $i, X2 : $i]:
% 40.49/6.40 ((X2) = (multiply @ X2 @ (multiply @ X0 @ (inverse @ X0))))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl8413, zip_derived_cl4936])).
% 40.49/6.40 thf(zip_derived_cl8420, plain,
% 40.49/6.40 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl8355, zip_derived_cl4936])).
% 40.49/6.40 thf(zip_derived_cl9382, plain,
% 40.49/6.40 (![X0 : $i, X2 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @ X0) = (X0))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl9340, zip_derived_cl9084, zip_derived_cl8420])).
% 40.49/6.40 thf(zip_derived_cl9462, plain,
% 40.49/6.40 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 40.49/6.40 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 40.49/6.40 | ((a2) != (a2)))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl8450, zip_derived_cl9382])).
% 40.49/6.40 thf(zip_derived_cl9463, plain,
% 40.49/6.40 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 40.49/6.40 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 40.49/6.40 inference('simplify', [status(thm)], [zip_derived_cl9462])).
% 40.49/6.40 thf(zip_derived_cl98, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ (inverse @ (multiply @ X1 @ (multiply @ X0 @ X2))) @
% 40.49/6.40 (multiply @ X1 @ X0))))
% 40.49/6.40 = (X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 40.49/6.40 thf(zip_derived_cl9166, plain,
% 40.49/6.40 (![X1 : $i, X2 : $i]:
% 40.49/6.40 ((inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X1)))
% 40.49/6.40 = (inverse @ X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl9003, zip_derived_cl8420, zip_derived_cl4936])).
% 40.49/6.40 thf(zip_derived_cl8420, plain,
% 40.49/6.40 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl8355, zip_derived_cl4936])).
% 40.49/6.40 thf(zip_derived_cl9325, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @ (inverse @ X0))
% 40.49/6.40 = (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl9166, zip_derived_cl8420])).
% 40.49/6.40 thf(zip_derived_cl8420, plain,
% 40.49/6.40 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl8355, zip_derived_cl4936])).
% 40.49/6.40 thf(zip_derived_cl9379, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((X0) = (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl9325, zip_derived_cl8420])).
% 40.49/6.40 thf(zip_derived_cl9382, plain,
% 40.49/6.40 (![X0 : $i, X2 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @ X0) = (X0))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl9340, zip_derived_cl9084, zip_derived_cl8420])).
% 40.49/6.40 thf(zip_derived_cl98, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ (inverse @ (multiply @ X1 @ (multiply @ X0 @ X2))) @
% 40.49/6.40 (multiply @ X1 @ X0))))
% 40.49/6.40 = (X2))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 40.49/6.40 thf(zip_derived_cl9464, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @
% 40.49/6.40 (inverse @
% 40.49/6.40 (multiply @ (multiply @ X2 @ (inverse @ X2)) @
% 40.49/6.40 (multiply @ X0 @ X1))) @
% 40.49/6.40 X0)))
% 40.49/6.40 = (X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl9382, zip_derived_cl98])).
% 40.49/6.40 thf(zip_derived_cl9382, plain,
% 40.49/6.40 (![X0 : $i, X2 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @ X0) = (X0))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl9340, zip_derived_cl9084, zip_derived_cl8420])).
% 40.49/6.40 thf(zip_derived_cl9382, plain,
% 40.49/6.40 (![X0 : $i, X2 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @ X0) = (X0))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl9340, zip_derived_cl9084, zip_derived_cl8420])).
% 40.49/6.40 thf(zip_derived_cl9504, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0)) = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl9464, zip_derived_cl9382, zip_derived_cl9382])).
% 40.49/6.40 thf(zip_derived_cl8420, plain,
% 40.49/6.40 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl8355, zip_derived_cl4936])).
% 40.49/6.40 thf(zip_derived_cl9629, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl9504, zip_derived_cl8420])).
% 40.49/6.40 thf(zip_derived_cl9705, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 40.49/6.40 = (multiply @ (inverse @ X0) @ X1))),
% 40.49/6.40 inference('sup+', [status(thm)], [zip_derived_cl9379, zip_derived_cl9629])).
% 40.49/6.40 thf(zip_derived_cl8420, plain,
% 40.49/6.40 (![X1 : $i]: ((inverse @ (inverse @ X1)) = (X1))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl8355, zip_derived_cl4936])).
% 40.49/6.40 thf(zip_derived_cl9382, plain,
% 40.49/6.40 (![X0 : $i, X2 : $i]:
% 40.49/6.40 ((multiply @ (multiply @ X2 @ (inverse @ X2)) @ X0) = (X0))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl9340, zip_derived_cl9084, zip_derived_cl8420])).
% 40.49/6.40 thf(zip_derived_cl10145, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.49/6.40 ((multiply @ (inverse @ (multiply @ X1 @ X0)) @
% 40.49/6.40 (multiply @ X1 @ (multiply @ X0 @ X2))) = (X2))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl98, zip_derived_cl9705, zip_derived_cl8420,
% 40.49/6.40 zip_derived_cl9382])).
% 40.49/6.40 thf(zip_derived_cl9379, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i]:
% 40.49/6.40 ((X0) = (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl9325, zip_derived_cl8420])).
% 40.49/6.40 thf(zip_derived_cl10718, plain,
% 40.49/6.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 40.49/6.40 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 40.49/6.40 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 40.49/6.40 inference('sup+', [status(thm)],
% 40.49/6.40 [zip_derived_cl10145, zip_derived_cl9379])).
% 40.49/6.40 thf(zip_derived_cl10832, plain,
% 40.49/6.40 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 40.49/6.40 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 40.49/6.40 inference('demod', [status(thm)],
% 40.49/6.40 [zip_derived_cl9463, zip_derived_cl10718])).
% 40.49/6.40 thf(zip_derived_cl10833, plain, ($false),
% 40.49/6.40 inference('simplify', [status(thm)], [zip_derived_cl10832])).
% 40.49/6.40
% 40.49/6.40 % SZS output end Refutation
% 40.49/6.40
% 40.49/6.40
% 40.49/6.40 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 40.49/6.40 % Terminating...
% 41.13/6.50 % Runner terminated.
% 41.13/6.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------