%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP059-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.y5TlbILVsp true
% Computer : n003.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 9.45s 1.94s
% Output : Refutation 9.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GRP059-1 : TPTP v9.2.0. Released v1.0.0.
% 0.03/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.y5TlbILVsp true
% 0.12/0.36 % Computer : n003.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Oct 1 14:15:53 EDT 2025
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Running portfolio for 300 s
% 0.12/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.37 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.45/1.94 % Solved by fo/fo7.sh.
% 9.45/1.94 % done 757 iterations in 1.171s
% 9.45/1.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.45/1.94 % SZS output start Refutation
% 9.45/1.94 thf(a1_type, type, a1: $i).
% 9.45/1.94 thf(a3_type, type, a3: $i).
% 9.45/1.94 thf(b1_type, type, b1: $i).
% 9.45/1.94 thf(inverse_type, type, inverse: $i > $i).
% 9.45/1.94 thf(multiply_type, type, multiply: $i > $i > $i).
% 9.45/1.94 thf(c3_type, type, c3: $i).
% 9.45/1.94 thf(a2_type, type, a2: $i).
% 9.45/1.94 thf(b3_type, type, b3: $i).
% 9.45/1.94 thf(b2_type, type, b2: $i).
% 9.45/1.94 thf(single_axiom, axiom,
% 9.45/1.94 (( inverse @
% 9.45/1.94 ( multiply @
% 9.45/1.94 ( multiply @
% 9.45/1.94 ( multiply @
% 9.45/1.94 ( inverse @ ( multiply @ ( multiply @ X @ Y ) @ Z ) ) @ X ) @
% 9.45/1.94 Y ) @
% 9.45/1.94 ( multiply @ U @ ( inverse @ U ) ) ) ) =
% 9.45/1.94 ( Z ))).
% 9.45/1.94 thf(zip_derived_cl0, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 9.45/1.94 X1) @
% 9.45/1.94 X2) @
% 9.45/1.94 (multiply @ X3 @ (inverse @ X3))))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('cnf', [status(esa)], [single_axiom])).
% 9.45/1.94 thf(zip_derived_cl0, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 9.45/1.94 X1) @
% 9.45/1.94 X2) @
% 9.45/1.94 (multiply @ X3 @ (inverse @ X3))))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('cnf', [status(esa)], [single_axiom])).
% 9.45/1.94 thf(zip_derived_cl3, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ X0 @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 9.45/1.94 X4)) @
% 9.45/1.94 X3) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 9.45/1.94 thf(zip_derived_cl3, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ X0 @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 9.45/1.94 X4)) @
% 9.45/1.94 X3) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 9.45/1.94 thf(zip_derived_cl18, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 9.45/1.94 thf(zip_derived_cl3, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ X0 @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 9.45/1.94 X4)) @
% 9.45/1.94 X3) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 9.45/1.94 thf(zip_derived_cl0, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 9.45/1.94 X1) @
% 9.45/1.94 X2) @
% 9.45/1.94 (multiply @ X3 @ (inverse @ X3))))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('cnf', [status(esa)], [single_axiom])).
% 9.45/1.94 thf(zip_derived_cl11, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ X3 @
% 9.45/1.94 (multiply @
% 9.45/1.94 (inverse @ (multiply @ (multiply @ X2 @ X1) @ X3)) @ X2)) @
% 9.45/1.94 X1) @
% 9.45/1.94 (multiply @ X0 @ (inverse @ X0))))) @
% 9.45/1.94 X5) @
% 9.45/1.94 X4) @
% 9.45/1.94 (multiply @ X6 @ (inverse @ X6))))
% 9.45/1.94 = (inverse @ (multiply @ X5 @ X4)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 9.45/1.94 thf(zip_derived_cl3, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ X0 @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 9.45/1.94 X4)) @
% 9.45/1.94 X3) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 9.45/1.94 thf(zip_derived_cl37, plain,
% 9.45/1.94 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X5) @
% 9.45/1.94 X4) @
% 9.45/1.94 (multiply @ X6 @ (inverse @ X6))))
% 9.45/1.94 = (inverse @ (multiply @ X5 @ X4)))),
% 9.45/1.94 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 9.45/1.94 thf(zip_derived_cl3, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ X0 @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 9.45/1.94 X4)) @
% 9.45/1.94 X3) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 9.45/1.94 thf(zip_derived_cl74, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (inverse @
% 9.45/1.94 (multiply @ (multiply @ X1 @ X0) @
% 9.45/1.94 (inverse @ (multiply @ X2 @ (inverse @ X2))))) @
% 9.45/1.94 X1) @
% 9.45/1.94 X0))
% 9.45/1.94 = (multiply @ X3 @ (inverse @ X3)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 9.45/1.94 thf(zip_derived_cl367, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ X0))) @ X2) @
% 9.45/1.94 (inverse @ X2)))
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl74])).
% 9.45/1.94 thf(zip_derived_cl0, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 9.45/1.94 X1) @
% 9.45/1.94 X2) @
% 9.45/1.94 (multiply @ X3 @ (inverse @ X3))))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('cnf', [status(esa)], [single_axiom])).
% 9.45/1.94 thf(zip_derived_cl458, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 9.45/1.94 (inverse @ (multiply @ X3 @ (inverse @ X3)))) @
% 9.45/1.94 X1) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (inverse @ X1))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 9.45/1.94 thf(zip_derived_cl18, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 9.45/1.94 thf(zip_derived_cl458, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 9.45/1.94 (inverse @ (multiply @ X3 @ (inverse @ X3)))) @
% 9.45/1.94 X1) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (inverse @ X1))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 9.45/1.94 thf(zip_derived_cl918, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (inverse @ X1))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 9.45/1.94 thf(zip_derived_cl3, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ X0 @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 9.45/1.94 X4)) @
% 9.45/1.94 X3) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 9.45/1.94 thf(zip_derived_cl0, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 9.45/1.94 X1) @
% 9.45/1.94 X2) @
% 9.45/1.94 (multiply @ X3 @ (inverse @ X3))))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('cnf', [status(esa)], [single_axiom])).
% 9.45/1.94 thf(zip_derived_cl6, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ X3 @
% 9.45/1.94 (multiply @
% 9.45/1.94 (inverse @ (multiply @ (multiply @ X2 @ X1) @ X3)) @ X2)) @
% 9.45/1.94 X1) @
% 9.45/1.94 (multiply @ X0 @ (inverse @ X0)))) @
% 9.45/1.94 X4)) @
% 9.45/1.94 X6) @
% 9.45/1.94 (inverse @ X6)) @
% 9.45/1.94 (multiply @ X5 @ (inverse @ X5))))
% 9.45/1.94 = (X4))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 9.45/1.94 thf(zip_derived_cl3, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ X0 @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X4 @ X3) @ X0)) @
% 9.45/1.94 X4)) @
% 9.45/1.94 X3) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 9.45/1.94 thf(zip_derived_cl33, plain,
% 9.45/1.94 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X4)) @
% 9.45/1.94 X6) @
% 9.45/1.94 (inverse @ X6)) @
% 9.45/1.94 (multiply @ X5 @ (inverse @ X5))))
% 9.45/1.94 = (X4))),
% 9.45/1.94 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 9.45/1.94 thf(zip_derived_cl1021, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 9.45/1.94 thf(zip_derived_cl1213, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (multiply @ (multiply @ X1 @ (inverse @ X1)) @
% 9.45/1.94 (inverse @ (multiply @ X0 @ (inverse @ X0)))))))))
% 9.45/1.94 = (multiply @ X2 @ (inverse @ X2)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl458, zip_derived_cl1021])).
% 9.45/1.94 thf(zip_derived_cl1021, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 9.45/1.94 thf(zip_derived_cl1244, plain,
% 9.45/1.94 (![X0 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 9.45/1.94 = (multiply @ X2 @ (inverse @ X2)))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1213, zip_derived_cl1021])).
% 9.45/1.94 thf(zip_derived_cl1021, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 9.45/1.94 thf(zip_derived_cl1287, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) @ X1)))))
% 9.45/1.94 = (X1))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1244, zip_derived_cl1021])).
% 9.45/1.94 thf(zip_derived_cl918, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (inverse @ X1))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 9.45/1.94 thf(zip_derived_cl37, plain,
% 9.45/1.94 (![X1 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X5) @
% 9.45/1.94 X4) @
% 9.45/1.94 (multiply @ X6 @ (inverse @ X6))))
% 9.45/1.94 = (inverse @ (multiply @ X5 @ X4)))),
% 9.45/1.94 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 9.45/1.94 thf(zip_derived_cl1022, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @ X0)
% 9.45/1.94 = (inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (inverse @ (inverse @ (multiply @ X1 @ (inverse @ X1)))) @ X0)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl37])).
% 9.45/1.94 thf(zip_derived_cl1404, plain,
% 9.45/1.94 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1287, zip_derived_cl1022])).
% 9.45/1.94 thf(zip_derived_cl18, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 9.45/1.94 thf(zip_derived_cl1415, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @ (inverse @ (inverse @ (inverse @ X0))) @ X0)
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl18])).
% 9.45/1.94 thf(zip_derived_cl1404, plain,
% 9.45/1.94 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1287, zip_derived_cl1022])).
% 9.45/1.94 thf(zip_derived_cl1021, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @ (multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0)))))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl918, zip_derived_cl33])).
% 9.45/1.94 thf(zip_derived_cl1449, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 9.45/1.94 thf(zip_derived_cl918, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (inverse @ X1))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 9.45/1.94 thf(zip_derived_cl1449, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 9.45/1.94 thf(zip_derived_cl1483, plain,
% 9.45/1.94 (![X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @ (multiply @ X1 @ (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (inverse @ X1))),
% 9.45/1.94 inference('demod', [status(thm)], [zip_derived_cl918, zip_derived_cl1449])).
% 9.45/1.94 thf(zip_derived_cl1404, plain,
% 9.45/1.94 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1287, zip_derived_cl1022])).
% 9.45/1.94 thf(zip_derived_cl1590, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @ (inverse @ (inverse @ (inverse @ X0))))
% 9.45/1.94 = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1483, zip_derived_cl1404])).
% 9.45/1.94 thf(zip_derived_cl1404, plain,
% 9.45/1.94 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1287, zip_derived_cl1022])).
% 9.45/1.94 thf(zip_derived_cl1617, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((X0) = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1590, zip_derived_cl1404])).
% 9.45/1.94 thf(zip_derived_cl1632, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 9.45/1.94 thf(zip_derived_cl1632, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 9.45/1.94 thf(zip_derived_cl0, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @
% 9.45/1.94 X1) @
% 9.45/1.94 X2) @
% 9.45/1.94 (multiply @ X3 @ (inverse @ X3))))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('cnf', [status(esa)], [single_axiom])).
% 9.45/1.94 thf(zip_derived_cl1617, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((X0) = (multiply @ X0 @ (multiply @ X1 @ (inverse @ X1))))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1590, zip_derived_cl1404])).
% 9.45/1.94 thf(zip_derived_cl1619, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @ X1) @
% 9.45/1.94 X2))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1617])).
% 9.45/1.94 thf(zip_derived_cl2507, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ X0 @ (inverse @ (multiply @ X2 @ (inverse @ X2)))) @
% 9.45/1.94 X1)) @
% 9.45/1.94 X0))
% 9.45/1.94 = (X1))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1632, zip_derived_cl1619])).
% 9.45/1.94 thf(zip_derived_cl1632, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((X1) = (multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1449, zip_derived_cl1617])).
% 9.45/1.94 thf(zip_derived_cl2558, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0)) = (X1))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl2507, zip_derived_cl1632])).
% 9.45/1.94 thf(zip_derived_cl2628, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X1))) @ X0)))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1632, zip_derived_cl2558])).
% 9.45/1.94 thf(zip_derived_cl18, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 9.45/1.94 thf(zip_derived_cl367, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ X0))) @ X2) @
% 9.45/1.94 (inverse @ X2)))
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl74])).
% 9.45/1.94 thf(zip_derived_cl476, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @ (multiply @ X0 @ (inverse @ X0)) @
% 9.45/1.94 (inverse @ (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))))))
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl367])).
% 9.45/1.94 thf(zip_derived_cl1244, plain,
% 9.45/1.94 (![X0 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 9.45/1.94 = (multiply @ X2 @ (inverse @ X2)))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1213, zip_derived_cl1021])).
% 9.45/1.94 thf(zip_derived_cl1364, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (multiply @ X3 @ (inverse @ X3)) @
% 9.45/1.94 (inverse @
% 9.45/1.94 (inverse @ (inverse @ (multiply @ X2 @ (inverse @ X2)))))) @
% 9.45/1.94 (multiply @ X0 @ (inverse @ X0)))))
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl476, zip_derived_cl1244])).
% 9.45/1.94 thf(zip_derived_cl1244, plain,
% 9.45/1.94 (![X0 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 9.45/1.94 = (multiply @ X2 @ (inverse @ X2)))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1213, zip_derived_cl1021])).
% 9.45/1.94 thf(zip_derived_cl918, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @ (multiply @ (multiply @ X0 @ (inverse @ X0)) @ X1) @
% 9.45/1.94 (multiply @ X2 @ (inverse @ X2))))
% 9.45/1.94 = (inverse @ X1))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl458])).
% 9.45/1.94 thf(zip_derived_cl1244, plain,
% 9.45/1.94 (![X0 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @ (inverse @ (multiply @ X0 @ (inverse @ X0))))
% 9.45/1.94 = (multiply @ X2 @ (inverse @ X2)))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1213, zip_derived_cl1021])).
% 9.45/1.94 thf(zip_derived_cl1398, plain,
% 9.45/1.94 (![X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @ (multiply @ X2 @ (inverse @ X2)))
% 9.45/1.94 = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1364, zip_derived_cl1244, zip_derived_cl918,
% 9.45/1.94 zip_derived_cl1244])).
% 9.45/1.94 thf(zip_derived_cl1449, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 9.45/1.94 thf(zip_derived_cl2662, plain,
% 9.45/1.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 9.45/1.94 thf(zip_derived_cl2690, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @ (inverse @ X0) @ X0) = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1415, zip_derived_cl2662])).
% 9.45/1.94 thf(prove_these_axioms, conjecture,
% 9.45/1.94 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 9.45/1.94 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 9.45/1.94 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 9.45/1.94 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 9.45/1.94 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 9.45/1.94 thf(zf_stmt_0, negated_conjecture,
% 9.45/1.94 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 9.45/1.94 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 9.45/1.94 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 9.45/1.94 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 9.45/1.94 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 9.45/1.94 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 9.45/1.94 thf(zip_derived_cl1, plain,
% 9.45/1.94 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 9.45/1.94 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 9.45/1.94 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 9.45/1.94 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 9.45/1.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.45/1.94 thf(zip_derived_cl1404, plain,
% 9.45/1.94 (![X1 : $i]: ((inverse @ (inverse @ (inverse @ (inverse @ X1)))) = (X1))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1287, zip_derived_cl1022])).
% 9.45/1.94 thf(zip_derived_cl1449, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1021])).
% 9.45/1.94 thf(zip_derived_cl1522, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @
% 9.45/1.94 (multiply @ (inverse @ (inverse @ (inverse @ X0))) @ X0) @ X1)
% 9.45/1.94 = (X1))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl1404, zip_derived_cl1449])).
% 9.45/1.94 thf(zip_derived_cl2662, plain,
% 9.45/1.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 9.45/1.94 thf(zip_derived_cl2692, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1522, zip_derived_cl2662])).
% 9.45/1.94 thf(zip_derived_cl2720, plain,
% 9.45/1.94 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 9.45/1.94 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 9.45/1.94 | ((a2) != (a2))
% 9.45/1.94 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 9.45/1.94 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2692])).
% 9.45/1.94 thf(zip_derived_cl2721, plain,
% 9.45/1.94 ((((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))
% 9.45/1.94 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 9.45/1.94 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 9.45/1.94 inference('simplify', [status(thm)], [zip_derived_cl2720])).
% 9.45/1.94 thf(zip_derived_cl2836, plain,
% 9.45/1.94 (![X0 : $i]:
% 9.45/1.94 (((multiply @ (inverse @ a1) @ a1) != (multiply @ X0 @ (inverse @ X0)))
% 9.45/1.94 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 9.45/1.94 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 9.45/1.94 inference('sup-', [status(thm)], [zip_derived_cl2690, zip_derived_cl2721])).
% 9.45/1.94 thf(zip_derived_cl2690, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((multiply @ (inverse @ X0) @ X0) = (multiply @ X1 @ (inverse @ X1)))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl1415, zip_derived_cl2662])).
% 9.45/1.94 thf(zip_derived_cl2856, plain,
% 9.45/1.94 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 9.45/1.94 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 9.45/1.94 inference('simplify_reflect+', [status(thm)],
% 9.45/1.94 [zip_derived_cl2836, zip_derived_cl2690])).
% 9.45/1.94 thf(zip_derived_cl2558, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @ (multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0)) = (X1))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl2507, zip_derived_cl1632])).
% 9.45/1.94 thf(zip_derived_cl2662, plain,
% 9.45/1.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 9.45/1.94 thf(zip_derived_cl2717, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl2558, zip_derived_cl2662])).
% 9.45/1.94 thf(zip_derived_cl2717, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl2558, zip_derived_cl2662])).
% 9.45/1.94 thf(zip_derived_cl2796, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @ X1)
% 9.45/1.94 = (multiply @ (inverse @ (inverse @ X0)) @
% 9.45/1.94 (inverse @ (multiply @ X1 @ X0))))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl2717, zip_derived_cl2717])).
% 9.45/1.94 thf(zip_derived_cl2662, plain,
% 9.45/1.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 9.45/1.94 thf(zip_derived_cl2806, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i]:
% 9.45/1.94 ((inverse @ X1) = (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl2796, zip_derived_cl2662])).
% 9.45/1.94 thf(zip_derived_cl1619, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @
% 9.45/1.94 (multiply @ (inverse @ (multiply @ (multiply @ X1 @ X2) @ X0)) @ X1) @
% 9.45/1.94 X2))
% 9.45/1.94 = (X0))),
% 9.45/1.94 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1617])).
% 9.45/1.94 thf(zip_derived_cl2902, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @
% 9.45/1.94 (multiply @ (multiply @ (inverse @ (inverse @ X0)) @ X2) @ X1))
% 9.45/1.94 = (inverse @ (multiply @ X0 @ (multiply @ X2 @ X1))))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl2806, zip_derived_cl1619])).
% 9.45/1.94 thf(zip_derived_cl2662, plain,
% 9.45/1.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 9.45/1.94 thf(zip_derived_cl2937, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @ (multiply @ (multiply @ X0 @ X2) @ X1))
% 9.45/1.94 = (inverse @ (multiply @ X0 @ (multiply @ X2 @ X1))))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl2902, zip_derived_cl2662])).
% 9.45/1.94 thf(zip_derived_cl2662, plain,
% 9.45/1.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 9.45/1.94 thf(zip_derived_cl3774, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((inverse @ (inverse @ (multiply @ X2 @ (multiply @ X1 @ X0))))
% 9.45/1.94 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 9.45/1.94 inference('sup+', [status(thm)], [zip_derived_cl2937, zip_derived_cl2662])).
% 9.45/1.94 thf(zip_derived_cl2662, plain,
% 9.45/1.94 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl2628, zip_derived_cl1398, zip_derived_cl1449])).
% 9.45/1.94 thf(zip_derived_cl3886, plain,
% 9.45/1.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.45/1.94 ((multiply @ X2 @ (multiply @ X1 @ X0))
% 9.45/1.94 = (multiply @ (multiply @ X2 @ X1) @ X0))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl3774, zip_derived_cl2662])).
% 9.45/1.94 thf(zip_derived_cl3894, plain,
% 9.45/1.94 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 9.45/1.94 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 9.45/1.94 inference('demod', [status(thm)],
% 9.45/1.94 [zip_derived_cl2856, zip_derived_cl3886])).
% 9.45/1.94 thf(zip_derived_cl3895, plain, ($false),
% 9.45/1.94 inference('simplify', [status(thm)], [zip_derived_cl3894])).
% 9.45/1.94
% 9.45/1.94 % SZS output end Refutation
% 9.45/1.94
% 9.45/1.94
% 9.45/1.94 % Terminating...
% 10.20/2.10 % Runner terminated.
% 10.26/2.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------