TSTP Solution File: GRP492-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OYBr8XGtf0 true
% Computer : n018.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 Aug 31 01:51:52 EDT 2023
% Result : Unsatisfiable 1.38s 1.07s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP492-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OYBr8XGtf0 true
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:47:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.71 % Total configuration time : 435
% 0.22/0.71 % Estimated wc time : 1092
% 0.22/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.94/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.94/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.94/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.94/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.94/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.94/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/1.07 % Solved by fo/fo5.sh.
% 1.38/1.07 % done 414 iterations in 0.244s
% 1.38/1.07 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/1.07 % SZS output start Refutation
% 1.38/1.07 thf(c3_type, type, c3: $i).
% 1.38/1.07 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.38/1.07 thf(b3_type, type, b3: $i).
% 1.38/1.07 thf(a3_type, type, a3: $i).
% 1.38/1.07 thf(identity_type, type, identity: $i).
% 1.38/1.07 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 1.38/1.07 thf(inverse_type, type, inverse: $i > $i).
% 1.38/1.07 thf(prove_these_axioms_3, conjecture,
% 1.38/1.07 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 1.38/1.07 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 1.38/1.07 thf(zf_stmt_0, negated_conjecture,
% 1.38/1.07 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.38/1.07 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 1.38/1.07 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 1.38/1.07 thf(zip_derived_cl4, plain,
% 1.38/1.07 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.38/1.07 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.38/1.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.38/1.07 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(multiply, axiom,
% 1.38/1.07 (( multiply @ A @ B ) =
% 1.38/1.07 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 1.38/1.07 thf(zip_derived_cl1, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X1 @ X0)
% 1.38/1.07 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [multiply])).
% 1.38/1.07 thf(zip_derived_cl6, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(zip_derived_cl1, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X1 @ X0)
% 1.38/1.07 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [multiply])).
% 1.38/1.07 thf(zip_derived_cl7, plain,
% 1.38/1.07 (![X0 : $i]:
% 1.38/1.07 ((multiply @ identity @ X0)
% 1.38/1.07 = (double_divide @ (inverse @ X0) @ identity))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(zip_derived_cl10, plain,
% 1.38/1.07 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 1.38/1.07 thf(single_axiom, axiom,
% 1.38/1.07 (( double_divide @
% 1.38/1.07 ( double_divide @ identity @ A ) @
% 1.38/1.07 ( double_divide @
% 1.38/1.07 identity @
% 1.38/1.07 ( double_divide @
% 1.38/1.07 ( double_divide @ ( double_divide @ A @ B ) @ identity ) @
% 1.38/1.07 ( double_divide @ C @ B ) ) ) ) =
% 1.38/1.07 ( C ))).
% 1.38/1.07 thf(zip_derived_cl0, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @
% 1.38/1.07 (double_divide @ (double_divide @ X1 @ X2) @ identity) @
% 1.38/1.07 (double_divide @ X0 @ X2))))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('cnf', [status(esa)], [single_axiom])).
% 1.38/1.07 thf(zip_derived_cl1, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X1 @ X0)
% 1.38/1.07 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [multiply])).
% 1.38/1.07 thf(zip_derived_cl13, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X0 @ X2))))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl24, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X0) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (inverse @ (inverse @ X0)) @
% 1.38/1.07 (double_divide @ X1 @ identity))))
% 1.38/1.07 = (X1))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl13])).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(zip_derived_cl25, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X0) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (inverse @ (inverse @ X0)) @ (inverse @ X1))))
% 1.38/1.07 = (X1))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 1.38/1.07 thf(identity, axiom,
% 1.38/1.07 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 1.38/1.07 thf(zip_derived_cl3, plain,
% 1.38/1.07 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.38/1.07 inference('cnf', [status(esa)], [identity])).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(zip_derived_cl13, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X0 @ X2))))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl16, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ identity @ X1) @ (inverse @ X0))))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 1.38/1.07 thf(zip_derived_cl10, plain,
% 1.38/1.07 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl240, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (inverse @ (inverse @ X1)) @ (inverse @ X0))))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl10])).
% 1.38/1.07 thf(zip_derived_cl247, plain,
% 1.38/1.07 (![X0 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X0) @
% 1.38/1.07 (double_divide @ identity @ identity)) = (inverse @ (inverse @ X0)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl240])).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(zip_derived_cl258, plain,
% 1.38/1.07 (![X0 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X0) @
% 1.38/1.07 (inverse @ identity)) = (inverse @ (inverse @ X0)))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl3, plain,
% 1.38/1.07 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.38/1.07 inference('cnf', [status(esa)], [identity])).
% 1.38/1.07 thf(zip_derived_cl258, plain,
% 1.38/1.07 (![X0 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X0) @
% 1.38/1.07 (inverse @ identity)) = (inverse @ (inverse @ X0)))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl371, plain,
% 1.38/1.07 (((double_divide @ identity @ (inverse @ identity))
% 1.38/1.07 = (inverse @ (inverse @ (inverse @ identity))))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl258])).
% 1.38/1.07 thf(zip_derived_cl3, plain,
% 1.38/1.07 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.38/1.07 inference('cnf', [status(esa)], [identity])).
% 1.38/1.07 thf(zip_derived_cl374, plain,
% 1.38/1.07 (((identity) = (inverse @ (inverse @ (inverse @ identity))))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl371, zip_derived_cl3])).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(zip_derived_cl258, plain,
% 1.38/1.07 (![X0 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X0) @
% 1.38/1.07 (inverse @ identity)) = (inverse @ (inverse @ X0)))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl370, plain,
% 1.38/1.07 (((double_divide @ (inverse @ identity) @ (inverse @ identity))
% 1.38/1.07 = (inverse @ (inverse @ identity)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl258])).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(zip_derived_cl13, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X0 @ X2))))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl20, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((double_divide @ (inverse @ identity) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ X1 @ identity) @
% 1.38/1.07 (double_divide @ X0 @ X1))))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 1.38/1.07 thf(zip_derived_cl570, plain,
% 1.38/1.07 (((double_divide @ (inverse @ identity) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ (inverse @ identity) @ identity) @
% 1.38/1.07 (inverse @ (inverse @ identity)))))
% 1.38/1.07 = (inverse @ identity))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl370, zip_derived_cl20])).
% 1.38/1.07 thf(zip_derived_cl3, plain,
% 1.38/1.07 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.38/1.07 inference('cnf', [status(esa)], [identity])).
% 1.38/1.07 thf(zip_derived_cl1, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X1 @ X0)
% 1.38/1.07 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [multiply])).
% 1.38/1.07 thf(zip_derived_cl8, plain,
% 1.38/1.07 (![X0 : $i]:
% 1.38/1.07 ((multiply @ (inverse @ X0) @ X0)
% 1.38/1.07 = (double_divide @ identity @ identity))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(zip_derived_cl3, plain,
% 1.38/1.07 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.38/1.07 inference('cnf', [status(esa)], [identity])).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(zip_derived_cl370, plain,
% 1.38/1.07 (((double_divide @ (inverse @ identity) @ (inverse @ identity))
% 1.38/1.07 = (inverse @ (inverse @ identity)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl258])).
% 1.38/1.07 thf(zip_derived_cl590, plain,
% 1.38/1.07 (((inverse @ (inverse @ identity)) = (inverse @ identity))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl570, zip_derived_cl8, zip_derived_cl2,
% 1.38/1.07 zip_derived_cl3, zip_derived_cl2, zip_derived_cl370])).
% 1.38/1.07 thf(zip_derived_cl590, plain,
% 1.38/1.07 (((inverse @ (inverse @ identity)) = (inverse @ identity))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl570, zip_derived_cl8, zip_derived_cl2,
% 1.38/1.07 zip_derived_cl3, zip_derived_cl2, zip_derived_cl370])).
% 1.38/1.07 thf(zip_derived_cl599, plain, (((identity) = (inverse @ identity))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl374, zip_derived_cl590, zip_derived_cl590])).
% 1.38/1.07 thf(zip_derived_cl1, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X1 @ X0)
% 1.38/1.07 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [multiply])).
% 1.38/1.07 thf(zip_derived_cl638, plain,
% 1.38/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (inverse @ (inverse @ X0)))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl258, zip_derived_cl599, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl1, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X1 @ X0)
% 1.38/1.07 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [multiply])).
% 1.38/1.07 thf(zip_derived_cl13, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X0 @ X2))))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl19, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X2) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ identity @ X2) @ (multiply @ X1 @ X0))))
% 1.38/1.07 = (double_divide @ X0 @ X1))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 1.38/1.07 thf(zip_derived_cl10, plain,
% 1.38/1.07 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl417, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X2) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (inverse @ (inverse @ X2)) @ (multiply @ X1 @ X0))))
% 1.38/1.07 = (double_divide @ X0 @ X1))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl10])).
% 1.38/1.07 thf(zip_derived_cl746, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (inverse @ (inverse @ X1)) @
% 1.38/1.07 (inverse @ (inverse @ X0)))))
% 1.38/1.07 = (double_divide @ identity @ X0))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl638, zip_derived_cl417])).
% 1.38/1.07 thf(zip_derived_cl240, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (inverse @ (inverse @ X1)) @ (inverse @ X0))))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl10])).
% 1.38/1.07 thf(zip_derived_cl753, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ identity @ X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl240])).
% 1.38/1.07 thf(zip_derived_cl590, plain,
% 1.38/1.07 (((inverse @ (inverse @ identity)) = (inverse @ identity))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl570, zip_derived_cl8, zip_derived_cl2,
% 1.38/1.07 zip_derived_cl3, zip_derived_cl2, zip_derived_cl370])).
% 1.38/1.07 thf(zip_derived_cl3, plain,
% 1.38/1.07 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.38/1.07 inference('cnf', [status(esa)], [identity])).
% 1.38/1.07 thf(zip_derived_cl6, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl28, plain,
% 1.38/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.38/1.07 thf(zip_derived_cl28, plain,
% 1.38/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.38/1.07 thf(zip_derived_cl33, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl28])).
% 1.38/1.07 thf(zip_derived_cl607, plain,
% 1.38/1.07 (![X0 : $i]:
% 1.38/1.07 ((multiply @ (inverse @ X0) @ X0)
% 1.38/1.07 = (multiply @ (inverse @ identity) @ (inverse @ identity)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl590, zip_derived_cl33])).
% 1.38/1.07 thf(zip_derived_cl370, plain,
% 1.38/1.07 (((double_divide @ (inverse @ identity) @ (inverse @ identity))
% 1.38/1.07 = (inverse @ (inverse @ identity)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl258])).
% 1.38/1.07 thf(zip_derived_cl1, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X1 @ X0)
% 1.38/1.07 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [multiply])).
% 1.38/1.07 thf(zip_derived_cl525, plain,
% 1.38/1.07 (((multiply @ (inverse @ identity) @ (inverse @ identity))
% 1.38/1.07 = (double_divide @ (inverse @ (inverse @ identity)) @ identity))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl370, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl374, plain,
% 1.38/1.07 (((identity) = (inverse @ (inverse @ (inverse @ identity))))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl371, zip_derived_cl3])).
% 1.38/1.07 thf(zip_derived_cl3, plain,
% 1.38/1.07 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.38/1.07 inference('cnf', [status(esa)], [identity])).
% 1.38/1.07 thf(zip_derived_cl378, plain,
% 1.38/1.07 (((identity)
% 1.38/1.07 = (double_divide @ (inverse @ (inverse @ identity)) @ identity))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl374, zip_derived_cl3])).
% 1.38/1.07 thf(zip_derived_cl532, plain,
% 1.38/1.07 (((multiply @ (inverse @ identity) @ (inverse @ identity)) = (identity))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl525, zip_derived_cl378])).
% 1.38/1.07 thf(zip_derived_cl623, plain,
% 1.38/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl607, zip_derived_cl532])).
% 1.38/1.07 thf(zip_derived_cl3, plain,
% 1.38/1.07 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.38/1.07 inference('cnf', [status(esa)], [identity])).
% 1.38/1.07 thf(zip_derived_cl13, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X0 @ X2))))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl17, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ (inverse @ X0) @ X1) @ identity)))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(zip_derived_cl22, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (inverse @ (multiply @ (inverse @ X0) @ X1))))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl753, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ identity @ X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl240])).
% 1.38/1.07 thf(zip_derived_cl753, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ identity @ X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl240])).
% 1.38/1.07 thf(zip_derived_cl777, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((double_divide @ (inverse @ X1) @
% 1.38/1.07 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X1)))) = (
% 1.38/1.07 X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl22, zip_derived_cl753, zip_derived_cl753])).
% 1.38/1.07 thf(zip_derived_cl783, plain,
% 1.38/1.07 (![X0 : $i]:
% 1.38/1.07 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ identity)))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl623, zip_derived_cl777])).
% 1.38/1.07 thf(zip_derived_cl599, plain, (((identity) = (inverse @ identity))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl374, zip_derived_cl590, zip_derived_cl590])).
% 1.38/1.07 thf(zip_derived_cl599, plain, (((identity) = (inverse @ identity))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl374, zip_derived_cl590, zip_derived_cl590])).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(zip_derived_cl789, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl783, zip_derived_cl599, zip_derived_cl599,
% 1.38/1.07 zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl753, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ identity @ X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl240])).
% 1.38/1.07 thf(zip_derived_cl6, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl965, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((double_divide @ (inverse @ X0) @ (multiply @ (inverse @ X1) @ X0))
% 1.38/1.07 = (X1))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl25, zip_derived_cl753, zip_derived_cl789,
% 1.38/1.07 zip_derived_cl753, zip_derived_cl6])).
% 1.38/1.07 thf(zip_derived_cl599, plain, (((identity) = (inverse @ identity))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl374, zip_derived_cl590, zip_derived_cl590])).
% 1.38/1.07 thf(zip_derived_cl13, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((double_divide @ (double_divide @ identity @ X1) @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ X2 @ X1) @ (double_divide @ X0 @ X2))))
% 1.38/1.07 = (X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl1, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X1 @ X0)
% 1.38/1.07 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [multiply])).
% 1.38/1.07 thf(zip_derived_cl15, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((multiply @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ X1 @ X2) @ (double_divide @ X0 @ X1))) @
% 1.38/1.07 (double_divide @ identity @ X2)) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl2, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.38/1.07 inference('cnf', [status(esa)], [inverse])).
% 1.38/1.07 thf(zip_derived_cl23, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((multiply @
% 1.38/1.07 (double_divide @ identity @
% 1.38/1.07 (double_divide @ (multiply @ X1 @ X2) @ (double_divide @ X0 @ X1))) @
% 1.38/1.07 (double_divide @ identity @ X2)) = (inverse @ X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl753, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ identity @ X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl240])).
% 1.38/1.07 thf(zip_derived_cl6, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl753, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ X0) = (double_divide @ identity @ X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl746, zip_derived_cl240])).
% 1.38/1.07 thf(zip_derived_cl836, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((multiply @
% 1.38/1.07 (multiply @ (double_divide @ X0 @ X1) @ (multiply @ X1 @ X2)) @
% 1.38/1.07 (inverse @ X2)) = (inverse @ X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl23, zip_derived_cl753, zip_derived_cl6,
% 1.38/1.07 zip_derived_cl753])).
% 1.38/1.07 thf(zip_derived_cl841, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @
% 1.38/1.07 (multiply @ (double_divide @ X0 @ X1) @ (multiply @ X1 @ identity)) @
% 1.38/1.07 identity) = (inverse @ X0))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl599, zip_derived_cl836])).
% 1.38/1.07 thf(zip_derived_cl638, plain,
% 1.38/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (inverse @ (inverse @ X0)))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl258, zip_derived_cl599, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl789, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl783, zip_derived_cl599, zip_derived_cl599,
% 1.38/1.07 zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl795, plain,
% 1.38/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl638, zip_derived_cl789])).
% 1.38/1.07 thf(zip_derived_cl795, plain,
% 1.38/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl638, zip_derived_cl789])).
% 1.38/1.07 thf(zip_derived_cl856, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ (double_divide @ X0 @ X1) @ X1) = (inverse @ X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl841, zip_derived_cl795, zip_derived_cl795])).
% 1.38/1.07 thf(zip_derived_cl969, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1))
% 1.38/1.07 = (inverse @ (inverse @ X1)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl965, zip_derived_cl856])).
% 1.38/1.07 thf(zip_derived_cl789, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl783, zip_derived_cl599, zip_derived_cl599,
% 1.38/1.07 zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl990, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl969, zip_derived_cl789])).
% 1.38/1.07 thf(zip_derived_cl1042, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((multiply @ (double_divide @ X0 @ X1) @
% 1.38/1.07 (multiply @ (multiply @ X1 @ X0) @ X2)) = (X2))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl990])).
% 1.38/1.07 thf(zip_derived_cl856, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ (double_divide @ X0 @ X1) @ X1) = (inverse @ X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl841, zip_derived_cl795, zip_derived_cl795])).
% 1.38/1.07 thf(zip_derived_cl6, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl789, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl783, zip_derived_cl599, zip_derived_cl599,
% 1.38/1.07 zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl800, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl789])).
% 1.38/1.07 thf(zip_derived_cl914, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((inverse @ (inverse @ X0))
% 1.38/1.07 = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl856, zip_derived_cl800])).
% 1.38/1.07 thf(zip_derived_cl789, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl783, zip_derived_cl599, zip_derived_cl599,
% 1.38/1.07 zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl931, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((X0) = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl914, zip_derived_cl789])).
% 1.38/1.07 thf(zip_derived_cl836, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((multiply @
% 1.38/1.07 (multiply @ (double_divide @ X0 @ X1) @ (multiply @ X1 @ X2)) @
% 1.38/1.07 (inverse @ X2)) = (inverse @ X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl23, zip_derived_cl753, zip_derived_cl6,
% 1.38/1.07 zip_derived_cl753])).
% 1.38/1.07 thf(zip_derived_cl789, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl783, zip_derived_cl599, zip_derived_cl599,
% 1.38/1.07 zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl990, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl969, zip_derived_cl789])).
% 1.38/1.07 thf(zip_derived_cl1045, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl789, zip_derived_cl990])).
% 1.38/1.07 thf(zip_derived_cl800, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl789])).
% 1.38/1.07 thf(zip_derived_cl1055, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((inverse @ X0)
% 1.38/1.07 = (double_divide @ (multiply @ X1 @ X0) @ (inverse @ X1)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl1045, zip_derived_cl800])).
% 1.38/1.07 thf(zip_derived_cl1751, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((inverse @ (inverse @ X1))
% 1.38/1.07 = (double_divide @ (inverse @ X0) @
% 1.38/1.07 (inverse @
% 1.38/1.07 (multiply @ (double_divide @ X0 @ X2) @ (multiply @ X2 @ X1)))))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl836, zip_derived_cl1055])).
% 1.38/1.07 thf(zip_derived_cl789, plain,
% 1.38/1.07 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl783, zip_derived_cl599, zip_derived_cl599,
% 1.38/1.07 zip_derived_cl2])).
% 1.38/1.07 thf(zip_derived_cl800, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl789])).
% 1.38/1.07 thf(zip_derived_cl931, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((X0) = (double_divide @ X1 @ (double_divide @ X0 @ X1)))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl914, zip_derived_cl789])).
% 1.38/1.07 thf(zip_derived_cl856, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ (double_divide @ X0 @ X1) @ X1) = (inverse @ X0))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl841, zip_derived_cl795, zip_derived_cl795])).
% 1.38/1.07 thf(zip_derived_cl935, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X0 @ (double_divide @ X0 @ X1)) = (inverse @ X1))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl931, zip_derived_cl856])).
% 1.38/1.07 thf(zip_derived_cl990, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)) = (X1))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl969, zip_derived_cl789])).
% 1.38/1.07 thf(zip_derived_cl1094, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X1 @ (inverse @ X0))
% 1.38/1.07 = (double_divide @ (inverse @ X1) @ X0))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl935, zip_derived_cl990])).
% 1.38/1.07 thf(zip_derived_cl6, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i]:
% 1.38/1.07 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.38/1.07 thf(zip_derived_cl1766, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((X1)
% 1.38/1.07 = (multiply @ X0 @
% 1.38/1.07 (multiply @ (double_divide @ X0 @ X2) @ (multiply @ X2 @ X1))))),
% 1.38/1.07 inference('demod', [status(thm)],
% 1.38/1.07 [zip_derived_cl1751, zip_derived_cl789, zip_derived_cl800,
% 1.38/1.07 zip_derived_cl1094, zip_derived_cl6])).
% 1.38/1.07 thf(zip_derived_cl2813, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((X1)
% 1.38/1.07 = (multiply @ X2 @
% 1.38/1.07 (multiply @ X0 @ (multiply @ (double_divide @ X0 @ X2) @ X1))))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl931, zip_derived_cl1766])).
% 1.38/1.07 thf(zip_derived_cl3080, plain,
% 1.38/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/1.07 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 1.38/1.07 = (multiply @ X2 @ (multiply @ X1 @ X0)))),
% 1.38/1.07 inference('sup+', [status(thm)], [zip_derived_cl1042, zip_derived_cl2813])).
% 1.38/1.07 thf(zip_derived_cl3151, plain,
% 1.38/1.07 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 1.38/1.07 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.38/1.07 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl3080])).
% 1.38/1.07 thf(zip_derived_cl3152, plain, ($false),
% 1.38/1.07 inference('simplify', [status(thm)], [zip_derived_cl3151])).
% 1.38/1.07
% 1.38/1.07 % SZS output end Refutation
% 1.38/1.07
% 1.38/1.07
% 1.38/1.07 % Terminating...
% 1.66/1.11 % Runner terminated.
% 1.66/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------