%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP053-1 : 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.SXA8VNNBEa true
% Computer : n014.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 04:35:32 PM UTC 2025
% Result : Unsatisfiable 16.97s 2.99s
% Output : Refutation 16.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP053-1 : TPTP v9.2.0. 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.SXA8VNNBEa true
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 14:16:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 16.97/2.99 % Solved by fo/fo7.sh.
% 16.97/2.99 % done 469 iterations in 2.215s
% 16.97/2.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.97/2.99 % SZS output start Refutation
% 16.97/2.99 thf(b1_type, type, b1: $i).
% 16.97/2.99 thf(b3_type, type, b3: $i).
% 16.97/2.99 thf(b2_type, type, b2: $i).
% 16.97/2.99 thf(inverse_type, type, inverse: $i > $i).
% 16.97/2.99 thf(multiply_type, type, multiply: $i > $i > $i).
% 16.97/2.99 thf(a3_type, type, a3: $i).
% 16.97/2.99 thf(c3_type, type, c3: $i).
% 16.97/2.99 thf(a2_type, type, a2: $i).
% 16.97/2.99 thf(a1_type, type, a1: $i).
% 16.97/2.99 thf(single_axiom, axiom,
% 16.97/2.99 (( inverse @
% 16.97/2.99 ( multiply @
% 16.97/2.99 Y @
% 16.97/2.99 ( inverse @
% 16.97/2.99 ( multiply @
% 16.97/2.99 ( inverse @
% 16.97/2.99 ( multiply @
% 16.97/2.99 ( inverse @ ( multiply @ Z @ Y ) ) @
% 16.97/2.99 ( multiply @ Z @ ( inverse @ X ) ) ) ) @
% 16.97/2.99 ( inverse @ ( multiply @ ( inverse @ Y ) @ Y ) ) ) ) ) ) =
% 16.97/2.99 ( X ))).
% 16.97/2.99 thf(zip_derived_cl0, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 16.97/2.99 = (X0))),
% 16.97/2.99 inference('cnf', [status(esa)], [single_axiom])).
% 16.97/2.99 thf(zip_derived_cl0, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 16.97/2.99 = (X0))),
% 16.97/2.99 inference('cnf', [status(esa)], [single_axiom])).
% 16.97/2.99 thf(zip_derived_cl2, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X3 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 16.97/2.99 (multiply @ X4 @ X0))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 16.97/2.99 = (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl0, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 16.97/2.99 = (X0))),
% 16.97/2.99 inference('cnf', [status(esa)], [single_axiom])).
% 16.97/2.99 thf(zip_derived_cl25, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (inverse @ X1))))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl0, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 16.97/2.99 = (X0))),
% 16.97/2.99 inference('cnf', [status(esa)], [single_axiom])).
% 16.97/2.99 thf(zip_derived_cl69, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X3 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X3)) @ X0)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 16.97/2.99 = (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (inverse @ X0))))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl2, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X3 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 16.97/2.99 (multiply @ X4 @ X0))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 16.97/2.99 = (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl0, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 16.97/2.99 = (X0))),
% 16.97/2.99 inference('cnf', [status(esa)], [single_axiom])).
% 16.97/2.99 thf(zip_derived_cl14, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @ X1))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl126, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (inverse @ (multiply @ X0 @ X1)))))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl14])).
% 16.97/2.99 thf(zip_derived_cl69, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X3 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X3)) @ X0)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 16.97/2.99 = (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (inverse @ X0))))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl0, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 16.97/2.99 = (X0))),
% 16.97/2.99 inference('cnf', [status(esa)], [single_axiom])).
% 16.97/2.99 thf(zip_derived_cl124, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @
% 16.97/2.99 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X1))))))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))) = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl0, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 16.97/2.99 = (X0))),
% 16.97/2.99 inference('cnf', [status(esa)], [single_axiom])).
% 16.97/2.99 thf(zip_derived_cl228, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X2 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 16.97/2.99 (multiply @ X3 @
% 16.97/2.99 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X0))))))) @
% 16.97/2.99 X2)) @
% 16.97/2.99 X0)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X2) @ X2))))))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl683, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl228])).
% 16.97/2.99 thf(zip_derived_cl69, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X3 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X3)) @ X0)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 16.97/2.99 = (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (inverse @ X0))))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl25, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (inverse @ X1))))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl103, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ X2 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X1)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl25])).
% 16.97/2.99 thf(zip_derived_cl788, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ X0) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))))))
% 16.97/2.99 = (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl683, zip_derived_cl103])).
% 16.97/2.99 thf(zip_derived_cl0, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 16.97/2.99 = (X0))),
% 16.97/2.99 inference('cnf', [status(esa)], [single_axiom])).
% 16.97/2.99 thf(zip_derived_cl103, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ X2 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X1)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl25])).
% 16.97/2.99 thf(zip_derived_cl196, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((multiply @ X2 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))))
% 16.97/2.99 = (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @ (multiply @ X3 @ (inverse @ (multiply @ X2 @ X1)))) @
% 16.97/2.99 (multiply @ X3 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (inverse @ (multiply @ X2 @ X1))) @
% 16.97/2.99 (inverse @ (multiply @ X2 @ X1)))))))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 16.97/2.99 thf(zip_derived_cl25, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (inverse @ X1))))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl1121, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl25])).
% 16.97/2.99 thf(zip_derived_cl1668, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 16.97/2.99 (multiply @ X2 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 16.97/2.99 (multiply @ (inverse @ X0) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))))))))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl788, zip_derived_cl1121])).
% 16.97/2.99 thf(zip_derived_cl196, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((multiply @ X2 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))))
% 16.97/2.99 = (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @ (multiply @ X3 @ (inverse @ (multiply @ X2 @ X1)))) @
% 16.97/2.99 (multiply @ X3 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (inverse @ (multiply @ X2 @ X1))) @
% 16.97/2.99 (inverse @ (multiply @ X2 @ X1)))))))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 16.97/2.99 thf(zip_derived_cl0, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 16.97/2.99 = (X0))),
% 16.97/2.99 inference('cnf', [status(esa)], [single_axiom])).
% 16.97/2.99 thf(zip_derived_cl1118, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl1716, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl1668, zip_derived_cl1118])).
% 16.97/2.99 thf(zip_derived_cl1716, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl1668, zip_derived_cl1118])).
% 16.97/2.99 thf(zip_derived_cl2056, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 16.97/2.99 thf(prove_these_axioms, conjecture,
% 16.97/2.99 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 16.97/2.99 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 16.97/2.99 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 16.97/2.99 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 16.97/2.99 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 16.97/2.99 thf(zf_stmt_0, negated_conjecture,
% 16.97/2.99 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 16.97/2.99 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 16.97/2.99 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 16.97/2.99 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 16.97/2.99 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 16.97/2.99 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 16.97/2.99 thf(zip_derived_cl1, plain,
% 16.97/2.99 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 16.97/2.99 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 16.97/2.99 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 16.97/2.99 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 16.97/2.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 16.97/2.99 thf(zip_derived_cl2298, plain,
% 16.97/2.99 (![X0 : $i]:
% 16.97/2.99 (((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))
% 16.97/2.99 | ((multiply @ (inverse @ a1) @ a1)
% 16.97/2.99 != (multiply @ (inverse @ b1) @ b1))
% 16.97/2.99 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 16.97/2.99 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 16.97/2.99 inference('sup-', [status(thm)], [zip_derived_cl2056, zip_derived_cl1])).
% 16.97/2.99 thf(zip_derived_cl2056, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 16.97/2.99 thf(zip_derived_cl2416, plain,
% 16.97/2.99 (![X0 : $i]:
% 16.97/2.99 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 16.97/2.99 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 16.97/2.99 | ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2)))),
% 16.97/2.99 inference('simplify_reflect+', [status(thm)],
% 16.97/2.99 [zip_derived_cl2298, zip_derived_cl2056])).
% 16.97/2.99 thf(zip_derived_cl2056, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 16.97/2.99 thf(zip_derived_cl2056, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 16.97/2.99 thf(zip_derived_cl0, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ X0)))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 16.97/2.99 = (X0))),
% 16.97/2.99 inference('cnf', [status(esa)], [single_axiom])).
% 16.97/2.99 thf(zip_derived_cl2289, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (inverse @ X1)) @ (inverse @ X1)))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl2056, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 16.97/2.99 thf(zip_derived_cl2411, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl2289, zip_derived_cl2056])).
% 16.97/2.99 thf(zip_derived_cl2595, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl2411])).
% 16.97/2.99 thf(zip_derived_cl1716, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl1668, zip_derived_cl1118])).
% 16.97/2.99 thf(zip_derived_cl14, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @ X1))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl1121, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl25])).
% 16.97/2.99 thf(zip_derived_cl1656, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 16.97/2.99 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 16.97/2.99 (multiply @ X1 @ X0)))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1121])).
% 16.97/2.99 thf(zip_derived_cl1938, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ (inverse @ X2) @ X4)) @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 16.97/2.99 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 16.97/2.99 = (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 16.97/2.99 (multiply @ X3 @ X2)))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1656])).
% 16.97/2.99 thf(zip_derived_cl1716, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl1668, zip_derived_cl1118])).
% 16.97/2.99 thf(zip_derived_cl2145, plain,
% 16.97/2.99 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ (inverse @ X2) @ X4)) @
% 16.97/2.99 (multiply @ (inverse @ X1) @ X1))
% 16.97/2.99 = (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 16.97/2.99 (multiply @ X3 @ X2)))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl1938, zip_derived_cl1716])).
% 16.97/2.99 thf(zip_derived_cl3934, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.97/2.99 ((multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X3) @ X3)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X2) @ X2)))))) @
% 16.97/2.99 (multiply @ (inverse @ X4) @ X4))
% 16.97/2.99 = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2595, zip_derived_cl2145])).
% 16.97/2.99 thf(zip_derived_cl2595, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl2411])).
% 16.97/2.99 thf(zip_derived_cl4089, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X4 : $i]:
% 16.97/2.99 ((multiply @ X1 @ (multiply @ (inverse @ X4) @ X4))
% 16.97/2.99 = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl3934, zip_derived_cl2595])).
% 16.97/2.99 thf(zip_derived_cl4089, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X4 : $i]:
% 16.97/2.99 ((multiply @ X1 @ (multiply @ (inverse @ X4) @ X4))
% 16.97/2.99 = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl3934, zip_derived_cl2595])).
% 16.97/2.99 thf(zip_derived_cl126, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (inverse @ (multiply @ X0 @ X1)))))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl14])).
% 16.97/2.99 thf(zip_derived_cl5508, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 16.97/2.99 (multiply @ X3 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0))))))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X2) @ X2))))
% 16.97/2.99 = (multiply @ (inverse @ X2) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl4089, zip_derived_cl126])).
% 16.97/2.99 thf(zip_derived_cl2595, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl2411])).
% 16.97/2.99 thf(zip_derived_cl2056, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 16.97/2.99 thf(zip_derived_cl1716, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl1668, zip_derived_cl1118])).
% 16.97/2.99 thf(zip_derived_cl14, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X0 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @ X1))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 16.97/2.99 thf(zip_derived_cl1993, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X2 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 16.97/2.99 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X2) @ X2)))))))
% 16.97/2.99 = (X2))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl14])).
% 16.97/2.99 thf(zip_derived_cl1716, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl1668, zip_derived_cl1118])).
% 16.97/2.99 thf(zip_derived_cl2199, plain,
% 16.97/2.99 (![X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X2 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X2) @ X2)))))))
% 16.97/2.99 = (X2))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl1993, zip_derived_cl1716])).
% 16.97/2.99 thf(zip_derived_cl2482, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X1 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl2199])).
% 16.97/2.99 thf(zip_derived_cl3970, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X2 @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X3) @ X3)) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0)))))))))
% 16.97/2.99 = (X2))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2595, zip_derived_cl2482])).
% 16.97/2.99 thf(zip_derived_cl2595, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl2411])).
% 16.97/2.99 thf(zip_derived_cl4112, plain,
% 16.97/2.99 (![X2 : $i, X3 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X3) @ X3))))
% 16.97/2.99 = (X2))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl3970, zip_derived_cl2595])).
% 16.97/2.99 thf(zip_derived_cl2595, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl2411])).
% 16.97/2.99 thf(zip_derived_cl2595, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl2411])).
% 16.97/2.99 thf(zip_derived_cl3991, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X2) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X3) @ X3)) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))))))
% 16.97/2.99 = (X2))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2595, zip_derived_cl2595])).
% 16.97/2.99 thf(zip_derived_cl2595, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl2411])).
% 16.97/2.99 thf(zip_derived_cl4046, plain,
% 16.97/2.99 (![X2 : $i, X3 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X3) @ X3)))
% 16.97/2.99 = (X2))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl3991, zip_derived_cl2595])).
% 16.97/2.99 thf(zip_derived_cl2595, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl2411])).
% 16.97/2.99 thf(zip_derived_cl4211, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 16.97/2.99 (multiply @ (inverse @ X0) @ X0)))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl4046, zip_derived_cl2595])).
% 16.97/2.99 thf(zip_derived_cl1716, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl1668, zip_derived_cl1118])).
% 16.97/2.99 thf(zip_derived_cl1656, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 16.97/2.99 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 16.97/2.99 (multiply @ X1 @ X0)))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1121])).
% 16.97/2.99 thf(zip_derived_cl1929, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.97/2.99 ((multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 16.97/2.99 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))) @
% 16.97/2.99 (multiply @ (inverse @ X4) @ X2))
% 16.97/2.99 = (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 16.97/2.99 (multiply @ X3 @ X2)))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1656])).
% 16.97/2.99 thf(zip_derived_cl1716, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl1668, zip_derived_cl1118])).
% 16.97/2.99 thf(zip_derived_cl2136, plain,
% 16.97/2.99 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 16.97/2.99 (multiply @ (inverse @ X4) @ X2))
% 16.97/2.99 = (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 16.97/2.99 (multiply @ X3 @ X2)))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl1929, zip_derived_cl1716])).
% 16.97/2.99 thf(zip_derived_cl2056, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 16.97/2.99 thf(zip_derived_cl2969, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ X2) @ X2)
% 16.97/2.99 = (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 16.97/2.99 (multiply @ (inverse @ X0) @ X0)))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2136, zip_derived_cl2056])).
% 16.97/2.99 thf(zip_derived_cl4328, plain,
% 16.97/2.99 (![X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X2) @ X2))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl4211, zip_derived_cl2969])).
% 16.97/2.99 thf(zip_derived_cl5642, plain,
% 16.97/2.99 (![X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X1))
% 16.97/2.99 = (multiply @ (inverse @ X2) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl5508, zip_derived_cl4112, zip_derived_cl4328])).
% 16.97/2.99 thf(zip_derived_cl4046, plain,
% 16.97/2.99 (![X2 : $i, X3 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X3) @ X3)))
% 16.97/2.99 = (X2))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl3991, zip_derived_cl2595])).
% 16.97/2.99 thf(zip_derived_cl6092, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 16.97/2.99 = (multiply @ (inverse @ X0) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl5642, zip_derived_cl4046])).
% 16.97/2.99 thf(zip_derived_cl6217, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X1 @ (multiply @ (inverse @ X1) @ (inverse @ X0))))
% 16.97/2.99 = (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @ X0))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl4089, zip_derived_cl6092])).
% 16.97/2.99 thf(zip_derived_cl4089, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X4 : $i]:
% 16.97/2.99 ((multiply @ X1 @ (multiply @ (inverse @ X4) @ X4))
% 16.97/2.99 = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl3934, zip_derived_cl2595])).
% 16.97/2.99 thf(zip_derived_cl4046, plain,
% 16.97/2.99 (![X2 : $i, X3 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X3) @ X3)))
% 16.97/2.99 = (X2))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl3991, zip_derived_cl2595])).
% 16.97/2.99 thf(zip_derived_cl5559, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ X1 @ (multiply @ (inverse @ X1) @ (inverse @ X0))))
% 16.97/2.99 = (X0))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl4089, zip_derived_cl4046])).
% 16.97/2.99 thf(zip_derived_cl6092, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 16.97/2.99 = (multiply @ (inverse @ X0) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl5642, zip_derived_cl4046])).
% 16.97/2.99 thf(zip_derived_cl6236, plain,
% 16.97/2.99 (![X0 : $i, X2 : $i]:
% 16.97/2.99 ((X0) = (multiply @ (multiply @ (inverse @ X2) @ X2) @ X0))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6217, zip_derived_cl5559, zip_derived_cl6092])).
% 16.97/2.99 thf(zip_derived_cl6248, plain,
% 16.97/2.99 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 16.97/2.99 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 16.97/2.99 | ((a2) != (a2)))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl2416, zip_derived_cl6236])).
% 16.97/2.99 thf(zip_derived_cl6249, plain,
% 16.97/2.99 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 16.97/2.99 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 16.97/2.99 inference('simplify', [status(thm)], [zip_derived_cl6248])).
% 16.97/2.99 thf(zip_derived_cl6236, plain,
% 16.97/2.99 (![X0 : $i, X2 : $i]:
% 16.97/2.99 ((X0) = (multiply @ (multiply @ (inverse @ X2) @ X2) @ X0))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6217, zip_derived_cl5559, zip_derived_cl6092])).
% 16.97/2.99 thf(zip_derived_cl4089, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X4 : $i]:
% 16.97/2.99 ((multiply @ X1 @ (multiply @ (inverse @ X4) @ X4))
% 16.97/2.99 = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl3934, zip_derived_cl2595])).
% 16.97/2.99 thf(zip_derived_cl6253, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ X0 @ (multiply @ (inverse @ X2) @ X2))
% 16.97/2.99 = (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @ X0))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl6236, zip_derived_cl4089])).
% 16.97/2.99 thf(zip_derived_cl2056, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl1716, zip_derived_cl1716])).
% 16.97/2.99 thf(zip_derived_cl4046, plain,
% 16.97/2.99 (![X2 : $i, X3 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X3) @ X3)))
% 16.97/2.99 = (X2))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl3991, zip_derived_cl2595])).
% 16.97/2.99 thf(zip_derived_cl4230, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl4046])).
% 16.97/2.99 thf(zip_derived_cl6236, plain,
% 16.97/2.99 (![X0 : $i, X2 : $i]:
% 16.97/2.99 ((X0) = (multiply @ (multiply @ (inverse @ X2) @ X2) @ X0))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6217, zip_derived_cl5559, zip_derived_cl6092])).
% 16.97/2.99 thf(zip_derived_cl6276, plain,
% 16.97/2.99 (![X0 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ X0 @ (multiply @ (inverse @ X2) @ X2)) = (X0))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6253, zip_derived_cl4230, zip_derived_cl6236])).
% 16.97/2.99 thf(zip_derived_cl5642, plain,
% 16.97/2.99 (![X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X1))
% 16.97/2.99 = (multiply @ (inverse @ X2) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl5508, zip_derived_cl4112, zip_derived_cl4328])).
% 16.97/2.99 thf(zip_derived_cl6313, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0)
% 16.97/2.99 = (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X1)))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl6276, zip_derived_cl5642])).
% 16.97/2.99 thf(zip_derived_cl6276, plain,
% 16.97/2.99 (![X0 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ X0 @ (multiply @ (inverse @ X2) @ X2)) = (X0))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6253, zip_derived_cl4230, zip_derived_cl6236])).
% 16.97/2.99 thf(zip_derived_cl6341, plain,
% 16.97/2.99 (![X0 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0) = (inverse @ X2))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6313, zip_derived_cl6276])).
% 16.97/2.99 thf(zip_derived_cl6341, plain,
% 16.97/2.99 (![X0 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0) = (inverse @ X2))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6313, zip_derived_cl6276])).
% 16.97/2.99 thf(zip_derived_cl6497, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (inverse @ X0)) @
% 16.97/2.99 (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl6341, zip_derived_cl6341])).
% 16.97/2.99 thf(zip_derived_cl6236, plain,
% 16.97/2.99 (![X0 : $i, X2 : $i]:
% 16.97/2.99 ((X0) = (multiply @ (multiply @ (inverse @ X2) @ X2) @ X0))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6217, zip_derived_cl5559, zip_derived_cl6092])).
% 16.97/2.99 thf(zip_derived_cl126, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @
% 16.97/2.99 (inverse @
% 16.97/2.99 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 16.97/2.99 (multiply @ X2 @ (inverse @ (inverse @ (multiply @ X0 @ X1)))))) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl14])).
% 16.97/2.99 thf(zip_derived_cl5642, plain,
% 16.97/2.99 (![X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X1))
% 16.97/2.99 = (multiply @ (inverse @ X2) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl5508, zip_derived_cl4112, zip_derived_cl4328])).
% 16.97/2.99 thf(zip_derived_cl4328, plain,
% 16.97/2.99 (![X1 : $i, X2 : $i]:
% 16.97/2.99 ((inverse @
% 16.97/2.99 (multiply @ (inverse @ X1) @
% 16.97/2.99 (inverse @ (multiply @ (inverse @ X2) @ X2))))
% 16.97/2.99 = (X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl4211, zip_derived_cl2969])).
% 16.97/2.99 thf(zip_derived_cl6062, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ X0) @
% 16.97/2.99 (inverse @ (inverse @ (multiply @ X0 @ X1)))) = (X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl126, zip_derived_cl5642, zip_derived_cl4328])).
% 16.97/2.99 thf(zip_derived_cl6252, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 16.97/2.99 (inverse @ (inverse @ X0))) = (X0))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl6236, zip_derived_cl6062])).
% 16.97/2.99 thf(zip_derived_cl4230, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 16.97/2.99 = (multiply @ (inverse @ X1) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl2056, zip_derived_cl4046])).
% 16.97/2.99 thf(zip_derived_cl6236, plain,
% 16.97/2.99 (![X0 : $i, X2 : $i]:
% 16.97/2.99 ((X0) = (multiply @ (multiply @ (inverse @ X2) @ X2) @ X0))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6217, zip_derived_cl5559, zip_derived_cl6092])).
% 16.97/2.99 thf(zip_derived_cl6275, plain,
% 16.97/2.99 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6252, zip_derived_cl4230, zip_derived_cl6236])).
% 16.97/2.99 thf(zip_derived_cl6508, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i]:
% 16.97/2.99 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6497, zip_derived_cl6275])).
% 16.97/2.99 thf(zip_derived_cl5642, plain,
% 16.97/2.99 (![X1 : $i, X2 : $i, X3 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X1))
% 16.97/2.99 = (multiply @ (inverse @ X2) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl5508, zip_derived_cl4112, zip_derived_cl4328])).
% 16.97/2.99 thf(zip_derived_cl6583, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ (inverse @ (inverse @ X0)) @ (multiply @ X2 @ X1))
% 16.97/2.99 = (multiply @ (inverse @ (inverse @ (multiply @ X0 @ X2))) @ X1))),
% 16.97/2.99 inference('sup+', [status(thm)], [zip_derived_cl6508, zip_derived_cl5642])).
% 16.97/2.99 thf(zip_derived_cl6275, plain,
% 16.97/2.99 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6252, zip_derived_cl4230, zip_derived_cl6236])).
% 16.97/2.99 thf(zip_derived_cl6275, plain,
% 16.97/2.99 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6252, zip_derived_cl4230, zip_derived_cl6236])).
% 16.97/2.99 thf(zip_derived_cl6624, plain,
% 16.97/2.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.97/2.99 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 16.97/2.99 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6583, zip_derived_cl6275, zip_derived_cl6275])).
% 16.97/2.99 thf(zip_derived_cl6630, plain,
% 16.97/2.99 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 16.97/2.99 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 16.97/2.99 inference('demod', [status(thm)],
% 16.97/2.99 [zip_derived_cl6249, zip_derived_cl6624])).
% 16.97/2.99 thf(zip_derived_cl6631, plain, ($false),
% 16.97/2.99 inference('simplify', [status(thm)], [zip_derived_cl6630])).
% 16.97/2.99
% 16.97/2.99 % SZS output end Refutation
% 16.97/2.99
% 16.97/2.99
% 16.97/2.99 % Terminating...
% 16.98/3.06 % Runner terminated.
% 16.98/3.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------