%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP420-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OpkIYPTGSC true
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:36:25 PM UTC 2025
% Result : Unsatisfiable 122.56s 24.89s
% Output : Refutation 122.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.38 % Problem : GRP420-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.39 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OpkIYPTGSC true
% 0.16/0.63 % Computer : n020.cluster.edu
% 0.16/0.63 % Model : x86_64 x86_64
% 0.16/0.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.63 % Memory : 8042.1875MB
% 0.16/0.63 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.63 % CPULimit : 300
% 0.16/0.63 % WCLimit : 300
% 0.16/0.63 % DateTime : Wed Oct 1 14:19:23 EDT 2025
% 0.16/0.64 % CPUTime :
% 0.16/0.64 % Running portfolio for 300 s
% 0.16/0.64 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.64 % Number of cores: 8
% 0.18/0.64 % Python version: Python 3.6.8
% 0.18/0.64 % Running in FO mode
% 0.19/0.95 % Total configuration time : 435
% 0.19/0.95 % Estimated wc time : 1092
% 0.19/0.95 % Estimated cpu time (7 cpus) : 156.0
% 1.08/1.11 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.08/1.12 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.08/1.14 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.08/1.17 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.38/1.19 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.38/1.19 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.38/1.20 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 122.56/24.89 % Solved by fo/fo7.sh.
% 122.56/24.89 % done 824 iterations in 23.617s
% 122.56/24.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 122.56/24.89 % SZS output start Refutation
% 122.56/24.89 thf(b3_type, type, b3: $i).
% 122.56/24.89 thf(c3_type, type, c3: $i).
% 122.56/24.89 thf(inverse_type, type, inverse: $i > $i).
% 122.56/24.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 122.56/24.89 thf(a3_type, type, a3: $i).
% 122.56/24.89 thf(prove_these_axioms_3, conjecture,
% 122.56/24.89 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 122.56/24.89 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 122.56/24.89 thf(zf_stmt_0, negated_conjecture,
% 122.56/24.89 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 122.56/24.89 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 122.56/24.89 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 122.56/24.89 thf(zip_derived_cl1, plain,
% 122.56/24.89 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 122.56/24.89 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 122.56/24.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 122.56/24.89 thf(single_axiom, axiom,
% 122.56/24.89 (( inverse @
% 122.56/24.89 ( multiply @
% 122.56/24.89 ( inverse @
% 122.56/24.89 ( multiply @
% 122.56/24.89 A @
% 122.56/24.89 ( inverse @
% 122.56/24.89 ( multiply @
% 122.56/24.89 ( inverse @ B ) @
% 122.56/24.89 ( inverse @
% 122.56/24.89 ( multiply @
% 122.56/24.89 C @ ( inverse @ ( multiply @ ( inverse @ C ) @ C ) ) ) ) ) ) ) ) @
% 122.56/24.89 ( multiply @ A @ C ) ) ) =
% 122.56/24.89 ( B ))).
% 122.56/24.89 thf(zip_derived_cl0, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ X0) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 122.56/24.89 (multiply @ X1 @ X2)))
% 122.56/24.89 = (X0))),
% 122.56/24.89 inference('cnf', [status(esa)], [single_axiom])).
% 122.56/24.89 thf(zip_derived_cl0, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ X0) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 122.56/24.89 (multiply @ X1 @ X2)))
% 122.56/24.89 = (X0))),
% 122.56/24.89 inference('cnf', [status(esa)], [single_axiom])).
% 122.56/24.89 thf(zip_derived_cl2, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X4 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X0 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))))) @
% 122.56/24.89 (multiply @ X4 @ X3)))
% 122.56/24.89 = (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ X0) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 122.56/24.89 (multiply @ X2 @ X1)))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 122.56/24.89 thf(zip_derived_cl0, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ X0) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 122.56/24.89 (multiply @ X1 @ X2)))
% 122.56/24.89 = (X0))),
% 122.56/24.89 inference('cnf', [status(esa)], [single_axiom])).
% 122.56/24.89 thf(zip_derived_cl17, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (inverse @ X2)) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 122.56/24.89 (multiply @ X1 @ X0)) = (X2))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 122.56/24.89 thf(zip_derived_cl0, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ X0) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 122.56/24.89 (multiply @ X1 @ X2)))
% 122.56/24.89 = (X0))),
% 122.56/24.89 inference('cnf', [status(esa)], [single_axiom])).
% 122.56/24.89 thf(zip_derived_cl46, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X3 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (inverse @ X0)) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @
% 122.56/24.89 (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ X1) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (multiply @ X3 @ X2) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 122.56/24.89 (multiply @ X3 @ X2))))))))) @
% 122.56/24.89 X0))
% 122.56/24.89 = (X1))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 122.56/24.89 thf(zip_derived_cl0, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ X0) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 122.56/24.89 (multiply @ X1 @ X2)))
% 122.56/24.89 = (X0))),
% 122.56/24.89 inference('cnf', [status(esa)], [single_axiom])).
% 122.56/24.89 thf(zip_derived_cl137, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X4 @ X0)) @ (multiply @ X4 @ X3)))
% 122.56/24.89 = (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X3 @
% 122.56/24.89 (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ X0) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (multiply @ X2 @ X1) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 122.56/24.89 (multiply @ X2 @ X1)))))))))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 122.56/24.89 thf(zip_derived_cl17, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (inverse @ X2)) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 122.56/24.89 (multiply @ X1 @ X0)) = (X2))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 122.56/24.89 thf(zip_derived_cl17, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (inverse @ X2)) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 122.56/24.89 (multiply @ X1 @ X0)) = (X2))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 122.56/24.89 thf(zip_derived_cl48, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.89 ((multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X3 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (inverse @ X0)) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (inverse @ X1)) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (multiply @ X3 @ X2) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 122.56/24.89 (multiply @ X3 @ X2))))))))) @
% 122.56/24.89 X0) = (X1))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl17])).
% 122.56/24.89 thf(zip_derived_cl544, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 122.56/24.89 (multiply @ X1 @ X0)))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 122.56/24.89 = (X2))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl48])).
% 122.56/24.89 thf(zip_derived_cl137, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X4 @ X0)) @ (multiply @ X4 @ X3)))
% 122.56/24.89 = (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X3 @
% 122.56/24.89 (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ X0) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (multiply @ X2 @ X1) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 122.56/24.89 (multiply @ X2 @ X1)))))))))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 122.56/24.89 thf(zip_derived_cl46, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X3 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (inverse @ X0)) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @
% 122.56/24.89 (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ X1) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (multiply @ X3 @ X2) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X3 @ X2)) @
% 122.56/24.89 (multiply @ X3 @ X2))))))))) @
% 122.56/24.89 X0))
% 122.56/24.89 = (X1))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 122.56/24.89 thf(zip_derived_cl542, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 122.56/24.89 (multiply @ X1 @ X0)))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 122.56/24.89 = (X2))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 122.56/24.89 thf(zip_derived_cl542, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 122.56/24.89 (multiply @ X1 @ X0)))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 122.56/24.89 = (X2))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 122.56/24.89 thf(zip_derived_cl17, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (inverse @ X2)) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 122.56/24.89 (multiply @ X1 @ X0)) = (X2))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 122.56/24.89 thf(zip_derived_cl940, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.89 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X1))
% 122.56/24.89 = (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 122.56/24.89 (multiply @ X2 @ X1)))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl17])).
% 122.56/24.89 thf(zip_derived_cl1151, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 122.56/24.89 ((multiply @ X0 @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 122.56/24.89 (multiply @ X4 @ X3)))) @
% 122.56/24.89 X1))
% 122.56/24.89 = (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 122.56/24.89 (multiply @ X2 @ X1)))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl940])).
% 122.56/24.89 thf(zip_derived_cl1151, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 122.56/24.89 ((multiply @ X0 @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 122.56/24.89 (multiply @ X4 @ X3)))) @
% 122.56/24.89 X1))
% 122.56/24.89 = (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))) @
% 122.56/24.89 (multiply @ X2 @ X1)))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl940])).
% 122.56/24.89 thf(zip_derived_cl1384, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 122.56/24.89 ((multiply @ X5 @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 122.56/24.89 (multiply @ X4 @ X1)))) @
% 122.56/24.89 X0))
% 122.56/24.89 = (multiply @ X3 @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 122.56/24.89 (multiply @ X2 @ X1)))) @
% 122.56/24.89 X0)))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl1151, zip_derived_cl1151])).
% 122.56/24.89 thf(zip_derived_cl1629, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.89 ((multiply @ (inverse @ X0) @ X0)
% 122.56/24.89 = (multiply @ X3 @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 122.56/24.89 (multiply @ X2 @ X1)))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 122.56/24.89 thf(zip_derived_cl1629, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.89 ((multiply @ (inverse @ X0) @ X0)
% 122.56/24.89 = (multiply @ X3 @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 122.56/24.89 (multiply @ X2 @ X1)))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 122.56/24.89 thf(zip_derived_cl1789, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i]:
% 122.56/24.89 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 122.56/24.89 thf(zip_derived_cl1789, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i]:
% 122.56/24.89 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 122.56/24.89 thf(zip_derived_cl1789, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i]:
% 122.56/24.89 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 122.56/24.89 thf(zip_derived_cl1629, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.89 ((multiply @ (inverse @ X0) @ X0)
% 122.56/24.89 = (multiply @ X3 @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 122.56/24.89 (multiply @ X2 @ X1)))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 122.56/24.89 thf(zip_derived_cl542, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 122.56/24.89 (multiply @ X1 @ X0)))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 122.56/24.89 = (X2))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 122.56/24.89 thf(zip_derived_cl1898, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 122.56/24.89 (multiply @ X1 @ X0)))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 122.56/24.89 = (X3))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl542])).
% 122.56/24.89 thf(zip_derived_cl1629, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.89 ((multiply @ (inverse @ X0) @ X0)
% 122.56/24.89 = (multiply @ X3 @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 122.56/24.89 (multiply @ X2 @ X1)))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1384])).
% 122.56/24.89 thf(zip_derived_cl2131, plain,
% 122.56/24.89 (![X0 : $i, X3 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3))))))
% 122.56/24.89 = (X3))),
% 122.56/24.89 inference('demod', [status(thm)],
% 122.56/24.89 [zip_derived_cl1898, zip_derived_cl1629])).
% 122.56/24.89 thf(zip_derived_cl2509, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 122.56/24.89 = (X1))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl2131])).
% 122.56/24.89 thf(zip_derived_cl2820, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i]:
% 122.56/24.89 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 122.56/24.89 = (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl2509])).
% 122.56/24.89 thf(zip_derived_cl542, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 122.56/24.89 (multiply @ X1 @ X0)))) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 122.56/24.89 = (X2))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl46])).
% 122.56/24.89 thf(zip_derived_cl2981, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 122.56/24.89 = (X1))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl2820, zip_derived_cl542])).
% 122.56/24.89 thf(zip_derived_cl2, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X4 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X0 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X3 @ (inverse @ (multiply @ (inverse @ X3) @ X3)))))))) @
% 122.56/24.89 (multiply @ X4 @ X3)))
% 122.56/24.89 = (multiply @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X2 @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ (inverse @ X0) @
% 122.56/24.89 (inverse @
% 122.56/24.89 (multiply @ X1 @
% 122.56/24.89 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 122.56/24.89 (multiply @ X2 @ X1)))),
% 122.56/24.89 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 122.56/24.89 thf(zip_derived_cl5019, plain,
% 122.56/24.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 122.56/24.89 ((inverse @
% 122.56/24.89 (multiply @ (inverse @ (multiply @ X4 @ X0)) @ (multiply @ X4 @ X0)))
% 122.56/24.90 = (multiply @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X2 @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @
% 122.56/24.90 (inverse @ (inverse @ (multiply @ (inverse @ X3) @ X3))) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X1 @
% 122.56/24.90 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))) @
% 122.56/24.90 (multiply @ X2 @ X1)))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl2981, zip_derived_cl2])).
% 122.56/24.90 thf(zip_derived_cl1789, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 122.56/24.90 thf(zip_derived_cl2509, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @
% 122.56/24.90 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X0) @ X0))))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl2131])).
% 122.56/24.90 thf(zip_derived_cl1789, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 122.56/24.90 thf(zip_derived_cl5142, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 122.56/24.90 = (multiply @ (inverse @ X1) @ X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl5019, zip_derived_cl1789, zip_derived_cl2509,
% 122.56/24.90 zip_derived_cl1789])).
% 122.56/24.90 thf(zip_derived_cl5142, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 122.56/24.90 = (multiply @ (inverse @ X1) @ X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl5019, zip_derived_cl1789, zip_derived_cl2509,
% 122.56/24.90 zip_derived_cl1789])).
% 122.56/24.90 thf(zip_derived_cl5337, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (inverse @ X2) @ X2))
% 122.56/24.90 = (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 122.56/24.90 (multiply @ (inverse @ X1) @ X1)))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl5142, zip_derived_cl5142])).
% 122.56/24.90 thf(zip_derived_cl0, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X1 @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (inverse @ X0) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 122.56/24.90 (multiply @ X1 @ X2)))
% 122.56/24.90 = (X0))),
% 122.56/24.90 inference('cnf', [status(esa)], [single_axiom])).
% 122.56/24.90 thf(zip_derived_cl10447, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (multiply @ (inverse @ X3) @ X3) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (inverse @ X1) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 122.56/24.90 (multiply @ (inverse @ X2) @ X2))))))))) @
% 122.56/24.90 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl5337, zip_derived_cl0])).
% 122.56/24.90 thf(zip_derived_cl2820, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 122.56/24.90 = (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl2509])).
% 122.56/24.90 thf(zip_derived_cl1789, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 122.56/24.90 thf(zip_derived_cl3001, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ X2) @ X2)
% 122.56/24.90 = (multiply @
% 122.56/24.90 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 122.56/24.90 (multiply @ (inverse @ X1) @ X1)))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl2820, zip_derived_cl1789])).
% 122.56/24.90 thf(zip_derived_cl2820, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 122.56/24.90 = (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl2509])).
% 122.56/24.90 thf(zip_derived_cl3197, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ X2) @ X2)
% 122.56/24.90 = (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 122.56/24.90 (multiply @ (inverse @ X1) @ X1)))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl3001, zip_derived_cl2820])).
% 122.56/24.90 thf(zip_derived_cl1789, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 122.56/24.90 thf(zip_derived_cl5142, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 122.56/24.90 = (multiply @ (inverse @ X1) @ X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl5019, zip_derived_cl1789, zip_derived_cl2509,
% 122.56/24.90 zip_derived_cl1789])).
% 122.56/24.90 thf(zip_derived_cl2981, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl2820, zip_derived_cl542])).
% 122.56/24.90 thf(zip_derived_cl5399, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl5142, zip_derived_cl2981])).
% 122.56/24.90 thf(zip_derived_cl5142, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 122.56/24.90 = (multiply @ (inverse @ X1) @ X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl5019, zip_derived_cl1789, zip_derived_cl2509,
% 122.56/24.90 zip_derived_cl1789])).
% 122.56/24.90 thf(zip_derived_cl5620, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @ (multiply @ (inverse @ X0) @ X0) @
% 122.56/24.90 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1)))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl5399, zip_derived_cl5142])).
% 122.56/24.90 thf(zip_derived_cl7716, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 122.56/24.90 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl5620])).
% 122.56/24.90 thf(zip_derived_cl2981, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl2820, zip_derived_cl542])).
% 122.56/24.90 thf(zip_derived_cl8170, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @
% 122.56/24.90 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 122.56/24.90 = (multiply @ (inverse @ X0) @ X0))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl7716, zip_derived_cl2981])).
% 122.56/24.90 thf(zip_derived_cl5142, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 122.56/24.90 = (multiply @ (inverse @ X1) @ X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl5019, zip_derived_cl1789, zip_derived_cl2509,
% 122.56/24.90 zip_derived_cl1789])).
% 122.56/24.90 thf(zip_derived_cl8375, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @ (multiply @ (inverse @ X1) @ X1) @
% 122.56/24.90 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 122.56/24.90 = (multiply @ (inverse @ X0) @ X0))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl8170, zip_derived_cl5142])).
% 122.56/24.90 thf(zip_derived_cl1789, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 122.56/24.90 thf(zip_derived_cl5142, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 122.56/24.90 = (multiply @ (inverse @ X1) @ X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl5019, zip_derived_cl1789, zip_derived_cl2509,
% 122.56/24.90 zip_derived_cl1789])).
% 122.56/24.90 thf(zip_derived_cl5142, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 122.56/24.90 = (multiply @ (inverse @ X1) @ X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl5019, zip_derived_cl1789, zip_derived_cl2509,
% 122.56/24.90 zip_derived_cl1789])).
% 122.56/24.90 thf(zip_derived_cl5241, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0)))
% 122.56/24.90 = (multiply @ (inverse @ X1) @ X1))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl5142, zip_derived_cl5142])).
% 122.56/24.90 thf(zip_derived_cl544, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((multiply @
% 122.56/24.90 (inverse @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 122.56/24.90 (multiply @ X1 @ X0)))) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X0 @ (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 122.56/24.90 = (X2))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl48])).
% 122.56/24.90 thf(zip_derived_cl5848, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (inverse @ X1) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (inverse @ (inverse @ X1)) @ (inverse @ X1))))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl5241, zip_derived_cl544])).
% 122.56/24.90 thf(zip_derived_cl1789, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1629])).
% 122.56/24.90 thf(zip_derived_cl5142, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 122.56/24.90 = (multiply @ (inverse @ X1) @ X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl5019, zip_derived_cl1789, zip_derived_cl2509,
% 122.56/24.90 zip_derived_cl1789])).
% 122.56/24.90 thf(zip_derived_cl6030, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ (multiply @ (inverse @ X0) @ X0) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl5848, zip_derived_cl1789, zip_derived_cl5142])).
% 122.56/24.90 thf(zip_derived_cl7902, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((multiply @ (multiply @ (inverse @ X2) @ X2) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X0))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl6030])).
% 122.56/24.90 thf(zip_derived_cl10866, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @ (inverse @ X1) @
% 122.56/24.90 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl10447, zip_derived_cl3197, zip_derived_cl8375,
% 122.56/24.90 zip_derived_cl7902])).
% 122.56/24.90 thf(zip_derived_cl10866, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @ (inverse @ X1) @
% 122.56/24.90 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl10447, zip_derived_cl3197, zip_derived_cl8375,
% 122.56/24.90 zip_derived_cl7902])).
% 122.56/24.90 thf(zip_derived_cl2981, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X1 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl2820, zip_derived_cl542])).
% 122.56/24.90 thf(zip_derived_cl11075, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @ (inverse @ (multiply @ (inverse @ X1) @ X1)) @ X0))
% 122.56/24.90 = (inverse @ X0))),
% 122.56/24.90 inference('sup+', [status(thm)],
% 122.56/24.90 [zip_derived_cl10866, zip_derived_cl2981])).
% 122.56/24.90 thf(zip_derived_cl5142, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 122.56/24.90 = (multiply @ (inverse @ X1) @ X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl5019, zip_derived_cl1789, zip_derived_cl2509,
% 122.56/24.90 zip_derived_cl1789])).
% 122.56/24.90 thf(zip_derived_cl11326, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))
% 122.56/24.90 = (inverse @ X0))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl11075, zip_derived_cl5142])).
% 122.56/24.90 thf(zip_derived_cl0, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X1 @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (inverse @ X0) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 122.56/24.90 (multiply @ X1 @ X2)))
% 122.56/24.90 = (X0))),
% 122.56/24.90 inference('cnf', [status(esa)], [single_axiom])).
% 122.56/24.90 thf(zip_derived_cl11374, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X3 @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (inverse @ X0) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 122.56/24.90 (multiply @ X3 @ X2)))
% 122.56/24.90 = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl11326, zip_derived_cl0])).
% 122.56/24.90 thf(zip_derived_cl0, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X1 @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ (inverse @ X0) @
% 122.56/24.90 (inverse @
% 122.56/24.90 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X2) @ X2)))))))) @
% 122.56/24.90 (multiply @ X1 @ X2)))
% 122.56/24.90 = (X0))),
% 122.56/24.90 inference('cnf', [status(esa)], [single_axiom])).
% 122.56/24.90 thf(zip_derived_cl11591, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 122.56/24.90 inference('demod', [status(thm)], [zip_derived_cl11374, zip_derived_cl0])).
% 122.56/24.90 thf(zip_derived_cl940, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X1))
% 122.56/24.90 = (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 122.56/24.90 (multiply @ X2 @ X1)))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl542, zip_derived_cl17])).
% 122.56/24.90 thf(zip_derived_cl11684, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 122.56/24.90 = (multiply @
% 122.56/24.90 (inverse @ (multiply @ (multiply @ (inverse @ X1) @ X1) @ X2)) @
% 122.56/24.90 X0))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl11591, zip_derived_cl940])).
% 122.56/24.90 thf(zip_derived_cl11591, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 122.56/24.90 inference('demod', [status(thm)], [zip_derived_cl11374, zip_derived_cl0])).
% 122.56/24.90 thf(zip_derived_cl11847, plain,
% 122.56/24.90 (![X0 : $i, X2 : $i, X3 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 122.56/24.90 = (multiply @ (inverse @ X2) @ X0))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl11684, zip_derived_cl11591])).
% 122.56/24.90 thf(zip_derived_cl13594, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1))
% 122.56/24.90 = (multiply @
% 122.56/24.90 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @ X1))),
% 122.56/24.90 inference('sup+', [status(thm)],
% 122.56/24.90 [zip_derived_cl10866, zip_derived_cl11847])).
% 122.56/24.90 thf(zip_derived_cl5241, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0)))
% 122.56/24.90 = (multiply @ (inverse @ X1) @ X1))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl5142, zip_derived_cl5142])).
% 122.56/24.90 thf(zip_derived_cl11591, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 122.56/24.90 inference('demod', [status(thm)], [zip_derived_cl11374, zip_derived_cl0])).
% 122.56/24.90 thf(zip_derived_cl11780, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((X1)
% 122.56/24.90 = (multiply @
% 122.56/24.90 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @ X1))),
% 122.56/24.90 inference('sup+', [status(thm)],
% 122.56/24.90 [zip_derived_cl5241, zip_derived_cl11591])).
% 122.56/24.90 thf(zip_derived_cl13624, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl13594, zip_derived_cl11780])).
% 122.56/24.90 thf(zip_derived_cl13655, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 122.56/24.90 inference('sup+', [status(thm)],
% 122.56/24.90 [zip_derived_cl1789, zip_derived_cl13624])).
% 122.56/24.90 thf(zip_derived_cl11847, plain,
% 122.56/24.90 (![X0 : $i, X2 : $i, X3 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 122.56/24.90 = (multiply @ (inverse @ X2) @ X0))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl11684, zip_derived_cl11591])).
% 122.56/24.90 thf(zip_derived_cl13746, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0)
% 122.56/24.90 = (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X1) @ X1)))),
% 122.56/24.90 inference('sup+', [status(thm)],
% 122.56/24.90 [zip_derived_cl13655, zip_derived_cl11847])).
% 122.56/24.90 thf(zip_derived_cl13655, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 122.56/24.90 inference('sup+', [status(thm)],
% 122.56/24.90 [zip_derived_cl1789, zip_derived_cl13624])).
% 122.56/24.90 thf(zip_derived_cl13798, plain,
% 122.56/24.90 (![X0 : $i, X2 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0) = (inverse @ X2))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl13746, zip_derived_cl13655])).
% 122.56/24.90 thf(zip_derived_cl13798, plain,
% 122.56/24.90 (![X0 : $i, X2 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ (multiply @ X0 @ X2)) @ X0) = (inverse @ X2))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl13746, zip_derived_cl13655])).
% 122.56/24.90 thf(zip_derived_cl13988, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ (inverse @ X0)) @
% 122.56/24.90 (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 122.56/24.90 inference('sup+', [status(thm)],
% 122.56/24.90 [zip_derived_cl13798, zip_derived_cl13798])).
% 122.56/24.90 thf(zip_derived_cl13624, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl13594, zip_derived_cl11780])).
% 122.56/24.90 thf(zip_derived_cl7716, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (multiply @ (multiply @ (inverse @ X2) @ X2) @
% 122.56/24.90 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl5620])).
% 122.56/24.90 thf(zip_derived_cl11591, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((X0) = (multiply @ (multiply @ (inverse @ X1) @ X1) @ X0))),
% 122.56/24.90 inference('demod', [status(thm)], [zip_derived_cl11374, zip_derived_cl0])).
% 122.56/24.90 thf(zip_derived_cl11669, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((inverse @
% 122.56/24.90 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0))))
% 122.56/24.90 = (X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl7716, zip_derived_cl11591])).
% 122.56/24.90 thf(zip_derived_cl13643, plain,
% 122.56/24.90 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 122.56/24.90 inference('sup+', [status(thm)],
% 122.56/24.90 [zip_derived_cl13624, zip_derived_cl11669])).
% 122.56/24.90 thf(zip_derived_cl14003, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i]:
% 122.56/24.90 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl13988, zip_derived_cl13643])).
% 122.56/24.90 thf(zip_derived_cl11847, plain,
% 122.56/24.90 (![X0 : $i, X2 : $i, X3 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 122.56/24.90 = (multiply @ (inverse @ X2) @ X0))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl11684, zip_derived_cl11591])).
% 122.56/24.90 thf(zip_derived_cl14096, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((multiply @ (inverse @ (inverse @ X0)) @ (multiply @ X2 @ X1))
% 122.56/24.90 = (multiply @ (inverse @ (inverse @ (multiply @ X0 @ X2))) @ X1))),
% 122.56/24.90 inference('sup+', [status(thm)],
% 122.56/24.90 [zip_derived_cl14003, zip_derived_cl11847])).
% 122.56/24.90 thf(zip_derived_cl13643, plain,
% 122.56/24.90 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 122.56/24.90 inference('sup+', [status(thm)],
% 122.56/24.90 [zip_derived_cl13624, zip_derived_cl11669])).
% 122.56/24.90 thf(zip_derived_cl13643, plain,
% 122.56/24.90 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 122.56/24.90 inference('sup+', [status(thm)],
% 122.56/24.90 [zip_derived_cl13624, zip_derived_cl11669])).
% 122.56/24.90 thf(zip_derived_cl14150, plain,
% 122.56/24.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.56/24.90 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 122.56/24.90 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 122.56/24.90 inference('demod', [status(thm)],
% 122.56/24.90 [zip_derived_cl14096, zip_derived_cl13643, zip_derived_cl13643])).
% 122.56/24.90 thf(zip_derived_cl14320, plain,
% 122.56/24.90 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 122.56/24.90 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 122.56/24.90 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl14150])).
% 122.56/24.90 thf(zip_derived_cl14321, plain, ($false),
% 122.56/24.90 inference('simplify', [status(thm)], [zip_derived_cl14320])).
% 122.56/24.90
% 122.56/24.90 % SZS output end Refutation
% 122.56/24.90
% 122.56/24.90
% 122.56/24.90 % Terminating...
% 123.57/25.13 % Runner terminated.
% 123.57/25.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------