TSTP Solution File: GRP100-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP100-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6JTy4oJovo true
% Computer : n024.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 01:49:55 EDT 2023
% Result : Unsatisfiable 1.83s 1.29s
% Output : Refutation 1.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP100-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6JTy4oJovo true
% 0.14/0.35 % Computer : n024.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 02:09:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 1.07/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.07/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.83/1.29 % Solved by fo/fo5.sh.
% 1.83/1.29 % done 648 iterations in 0.482s
% 1.83/1.29 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.83/1.29 % SZS output start Refutation
% 1.83/1.29 thf(a3_type, type, a3: $i).
% 1.83/1.29 thf(identity_type, type, identity: $i).
% 1.83/1.29 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.83/1.29 thf(c3_type, type, c3: $i).
% 1.83/1.29 thf(a2_type, type, a2: $i).
% 1.83/1.29 thf(a1_type, type, a1: $i).
% 1.83/1.29 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 1.83/1.29 thf(inverse_type, type, inverse: $i > $i).
% 1.83/1.29 thf(b4_type, type, b4: $i).
% 1.83/1.29 thf(a4_type, type, a4: $i).
% 1.83/1.29 thf(b3_type, type, b3: $i).
% 1.83/1.29 thf(prove_these_axioms, conjecture,
% 1.83/1.29 (~( ( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 1.83/1.29 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.83/1.29 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.83/1.29 ( ( multiply @ identity @ a2 ) != ( a2 ) ) |
% 1.83/1.29 ( ( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity ) ) ))).
% 1.83/1.29 thf(zf_stmt_0, negated_conjecture,
% 1.83/1.29 (( ( multiply @ a4 @ b4 ) != ( multiply @ b4 @ a4 ) ) |
% 1.83/1.29 ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.83/1.29 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 1.83/1.29 ( ( multiply @ identity @ a2 ) != ( a2 ) ) |
% 1.83/1.29 ( ( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity ) )),
% 1.83/1.29 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 1.83/1.29 thf(zip_derived_cl4, plain,
% 1.83/1.29 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.83/1.29 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.83/1.29 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.83/1.29 | ((multiply @ identity @ a2) != (a2))
% 1.83/1.29 | ((multiply @ (inverse @ a1) @ a1) != (identity)))),
% 1.83/1.29 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.83/1.29 thf(inverse, axiom, (( inverse @ X ) = ( double_divide @ X @ identity ))).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(multiply, axiom,
% 1.83/1.29 (( multiply @ X @ Y ) =
% 1.83/1.29 ( double_divide @ ( double_divide @ Y @ X ) @ identity ))).
% 1.83/1.29 thf(zip_derived_cl1, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((multiply @ X1 @ X0)
% 1.83/1.29 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [multiply])).
% 1.83/1.29 thf(zip_derived_cl7, plain,
% 1.83/1.29 (![X0 : $i]:
% 1.83/1.29 ((multiply @ identity @ X0)
% 1.83/1.29 = (double_divide @ (inverse @ X0) @ identity))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(zip_derived_cl10, plain,
% 1.83/1.29 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl22, plain,
% 1.83/1.29 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.83/1.29 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.83/1.29 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.83/1.29 | ((inverse @ (inverse @ a2)) != (a2))
% 1.83/1.29 | ((multiply @ (inverse @ a1) @ a1) != (identity)))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 1.83/1.29 thf(identity, axiom,
% 1.83/1.29 (( identity ) = ( double_divide @ X @ ( inverse @ X ) ))).
% 1.83/1.29 thf(zip_derived_cl3, plain,
% 1.83/1.29 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.83/1.29 inference('cnf', [status(esa)], [identity])).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(zip_derived_cl1, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((multiply @ X1 @ X0)
% 1.83/1.29 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [multiply])).
% 1.83/1.29 thf(zip_derived_cl6, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.83/1.29 thf(zip_derived_cl26, plain,
% 1.83/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.83/1.29 thf(zip_derived_cl64, plain,
% 1.83/1.29 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.83/1.29 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.83/1.29 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.83/1.29 | ((inverse @ (inverse @ a2)) != (a2))
% 1.83/1.29 | ((inverse @ identity) != (identity)))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl26])).
% 1.83/1.29 thf(zip_derived_cl26, plain,
% 1.83/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.83/1.29 thf(zip_derived_cl26, plain,
% 1.83/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.83/1.29 thf(zip_derived_cl3, plain,
% 1.83/1.29 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.83/1.29 inference('cnf', [status(esa)], [identity])).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(single_axiom, axiom,
% 1.83/1.29 (( double_divide @
% 1.83/1.29 ( double_divide @
% 1.83/1.29 X @
% 1.83/1.29 ( double_divide @
% 1.83/1.29 ( double_divide @ Y @ ( double_divide @ X @ Z ) ) @
% 1.83/1.29 ( double_divide @ Z @ identity ) ) ) @
% 1.83/1.29 ( double_divide @ identity @ identity ) ) =
% 1.83/1.29 ( Y ))).
% 1.83/1.29 thf(zip_derived_cl0, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ X1 @
% 1.83/1.29 (double_divide @
% 1.83/1.29 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 1.83/1.29 (double_divide @ X2 @ identity))) @
% 1.83/1.29 (double_divide @ identity @ identity)) = (X0))),
% 1.83/1.29 inference('cnf', [status(esa)], [single_axiom])).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(zip_derived_cl13, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ X1 @
% 1.83/1.29 (double_divide @
% 1.83/1.29 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 1.83/1.29 (inverse @ identity)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl16, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ X0 @
% 1.83/1.29 (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 1.83/1.29 (inverse @ identity))) @
% 1.83/1.29 (inverse @ identity)) = (X1))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 1.83/1.29 thf(zip_derived_cl304, plain,
% 1.83/1.29 (![X0 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ X0 @
% 1.83/1.29 (double_divide @ identity @ (inverse @ identity))) @
% 1.83/1.29 (inverse @ identity)) = (X0))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl16])).
% 1.83/1.29 thf(zip_derived_cl3, plain,
% 1.83/1.29 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.83/1.29 inference('cnf', [status(esa)], [identity])).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(zip_derived_cl313, plain,
% 1.83/1.29 (![X0 : $i]:
% 1.83/1.29 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl304, zip_derived_cl3, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl346, plain,
% 1.83/1.29 (![X0 : $i]:
% 1.83/1.29 ((double_divide @ (multiply @ (inverse @ X0) @ X0) @
% 1.83/1.29 (inverse @ identity)) = (identity))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl313])).
% 1.83/1.29 thf(zip_derived_cl16, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ X0 @
% 1.83/1.29 (double_divide @ (double_divide @ X1 @ (inverse @ X0)) @
% 1.83/1.29 (inverse @ identity))) @
% 1.83/1.29 (inverse @ identity)) = (X1))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 1.83/1.29 thf(zip_derived_cl443, plain,
% 1.83/1.29 (![X0 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ identity @
% 1.83/1.29 (double_divide @ identity @ (inverse @ identity))) @
% 1.83/1.29 (inverse @ identity)) = (multiply @ (inverse @ X0) @ X0))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl16])).
% 1.83/1.29 thf(zip_derived_cl3, plain,
% 1.83/1.29 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.83/1.29 inference('cnf', [status(esa)], [identity])).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(zip_derived_cl313, plain,
% 1.83/1.29 (![X0 : $i]:
% 1.83/1.29 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl304, zip_derived_cl3, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl461, plain,
% 1.83/1.29 (![X0 : $i]: ((identity) = (multiply @ (inverse @ X0) @ X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl443, zip_derived_cl3, zip_derived_cl2,
% 1.83/1.29 zip_derived_cl313])).
% 1.83/1.29 thf(zip_derived_cl463, plain, (((identity) = (inverse @ identity))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl461])).
% 1.83/1.29 thf(zip_derived_cl484, plain,
% 1.83/1.29 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.83/1.29 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.83/1.29 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.83/1.29 | ((inverse @ (inverse @ a2)) != (a2))
% 1.83/1.29 | ((identity) != (identity)))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl463])).
% 1.83/1.29 thf(zip_derived_cl485, plain,
% 1.83/1.29 ((((inverse @ (inverse @ a2)) != (a2))
% 1.83/1.29 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.83/1.29 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.83/1.29 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 1.83/1.29 inference('simplify', [status(thm)], [zip_derived_cl484])).
% 1.83/1.29 thf(zip_derived_cl313, plain,
% 1.83/1.29 (![X0 : $i]:
% 1.83/1.29 ((double_divide @ (inverse @ X0) @ (inverse @ identity)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl304, zip_derived_cl3, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl463, plain, (((identity) = (inverse @ identity))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl461])).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(zip_derived_cl486, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl313, zip_derived_cl463, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl515, plain,
% 1.83/1.29 ((((a2) != (a2))
% 1.83/1.29 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.83/1.29 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 1.83/1.29 | ((multiply @ a4 @ b4) != (multiply @ b4 @ a4)))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl485, zip_derived_cl486])).
% 1.83/1.29 thf(zip_derived_cl516, plain,
% 1.83/1.29 ((((multiply @ a4 @ b4) != (multiply @ b4 @ a4))
% 1.83/1.29 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.83/1.29 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 1.83/1.29 inference('simplify', [status(thm)], [zip_derived_cl515])).
% 1.83/1.29 thf(zip_derived_cl486, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl313, zip_derived_cl463, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl26, plain,
% 1.83/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (inverse @ identity))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 1.83/1.29 thf(zip_derived_cl13, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ X1 @
% 1.83/1.29 (double_divide @
% 1.83/1.29 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 1.83/1.29 (inverse @ identity)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl31, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ X2 @
% 1.83/1.29 (double_divide @
% 1.83/1.29 (double_divide @ X1 @ (double_divide @ X2 @ identity)) @
% 1.83/1.29 (multiply @ (inverse @ X0) @ X0))) @
% 1.83/1.29 (inverse @ identity)) = (X1))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl13])).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(zip_derived_cl37, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ X2 @
% 1.83/1.29 (double_divide @ (double_divide @ X1 @ (inverse @ X2)) @
% 1.83/1.29 (multiply @ (inverse @ X0) @ X0))) @
% 1.83/1.29 (inverse @ identity)) = (X1))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl6, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((multiply @ X0 @ X1) = (inverse @ (double_divide @ X1 @ X0)))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.83/1.29 thf(zip_derived_cl486, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl313, zip_derived_cl463, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl521, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl486])).
% 1.83/1.29 thf(zip_derived_cl461, plain,
% 1.83/1.29 (![X0 : $i]: ((identity) = (multiply @ (inverse @ X0) @ X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl443, zip_derived_cl3, zip_derived_cl2,
% 1.83/1.29 zip_derived_cl313])).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(zip_derived_cl486, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl313, zip_derived_cl463, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl521, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl486])).
% 1.83/1.29 thf(zip_derived_cl463, plain, (((identity) = (inverse @ identity))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl461])).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(zip_derived_cl486, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl313, zip_derived_cl463, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl594, plain,
% 1.83/1.29 (![X1 : $i, X2 : $i]:
% 1.83/1.29 ((multiply @ (multiply @ (inverse @ X2) @ X1) @ X2) = (X1))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl37, zip_derived_cl521, zip_derived_cl461,
% 1.83/1.29 zip_derived_cl2, zip_derived_cl486, zip_derived_cl521,
% 1.83/1.29 zip_derived_cl463, zip_derived_cl2, zip_derived_cl486])).
% 1.83/1.29 thf(zip_derived_cl600, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl594])).
% 1.83/1.29 thf(zip_derived_cl486, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl313, zip_derived_cl463, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl3, plain,
% 1.83/1.29 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.83/1.29 inference('cnf', [status(esa)], [identity])).
% 1.83/1.29 thf(zip_derived_cl13, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ X1 @
% 1.83/1.29 (double_divide @
% 1.83/1.29 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 1.83/1.29 (inverse @ identity)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl17, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ X1 @
% 1.83/1.29 (double_divide @ (double_divide @ X0 @ identity) @
% 1.83/1.29 (inverse @ (inverse @ X1)))) @
% 1.83/1.29 (inverse @ identity)) = (X0))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 1.83/1.29 thf(zip_derived_cl2, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [inverse])).
% 1.83/1.29 thf(zip_derived_cl20, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ X1 @
% 1.83/1.29 (double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))) @
% 1.83/1.29 (inverse @ identity)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl463, plain, (((identity) = (inverse @ identity))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl461])).
% 1.83/1.29 thf(zip_derived_cl1, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((multiply @ X1 @ X0)
% 1.83/1.29 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [multiply])).
% 1.83/1.29 thf(zip_derived_cl490, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((multiply @
% 1.83/1.29 (double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1))) @ X1)
% 1.83/1.29 = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl20, zip_derived_cl463, zip_derived_cl1])).
% 1.83/1.29 thf(zip_derived_cl486, plain,
% 1.83/1.29 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl313, zip_derived_cl463, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl517, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((multiply @ (double_divide @ (inverse @ X0) @ X1) @ X1) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl490, zip_derived_cl486])).
% 1.83/1.29 thf(zip_derived_cl521, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl486])).
% 1.83/1.29 thf(zip_derived_cl620, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((multiply @ (inverse @ (multiply @ X1 @ (inverse @ X0))) @ X1) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl517, zip_derived_cl521])).
% 1.83/1.29 thf(zip_derived_cl632, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1) = (inverse @ X0))),
% 1.83/1.29 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl620])).
% 1.83/1.29 thf(zip_derived_cl13, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.29 ((double_divide @
% 1.83/1.29 (double_divide @ X1 @
% 1.83/1.29 (double_divide @
% 1.83/1.29 (double_divide @ X0 @ (double_divide @ X1 @ X2)) @ (inverse @ X2))) @
% 1.83/1.29 (inverse @ identity)) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.29 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 1.83/1.29 thf(zip_derived_cl463, plain, (((identity) = (inverse @ identity))),
% 1.83/1.29 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl461])).
% 1.83/1.29 thf(zip_derived_cl1, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i]:
% 1.83/1.29 ((multiply @ X1 @ X0)
% 1.83/1.29 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.83/1.29 inference('cnf', [status(esa)], [multiply])).
% 1.83/1.29 thf(zip_derived_cl480, plain,
% 1.83/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.29 ((multiply @
% 1.83/1.29 (double_divide @ (double_divide @ X0 @ (double_divide @ X1 @ X2)) @
% 1.83/1.29 (inverse @ X2)) @
% 1.83/1.29 X1) = (X0))),
% 1.83/1.29 inference('demod', [status(thm)],
% 1.83/1.30 [zip_derived_cl13, zip_derived_cl463, zip_derived_cl1])).
% 1.83/1.30 thf(zip_derived_cl521, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl486])).
% 1.83/1.30 thf(zip_derived_cl521, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl486])).
% 1.83/1.30 thf(zip_derived_cl594, plain,
% 1.83/1.30 (![X1 : $i, X2 : $i]:
% 1.83/1.30 ((multiply @ (multiply @ (inverse @ X2) @ X1) @ X2) = (X1))),
% 1.83/1.30 inference('demod', [status(thm)],
% 1.83/1.30 [zip_derived_cl37, zip_derived_cl521, zip_derived_cl461,
% 1.83/1.30 zip_derived_cl2, zip_derived_cl486, zip_derived_cl521,
% 1.83/1.30 zip_derived_cl463, zip_derived_cl2, zip_derived_cl486])).
% 1.83/1.30 thf(zip_derived_cl600, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl594])).
% 1.83/1.30 thf(zip_derived_cl600, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl594])).
% 1.83/1.30 thf(zip_derived_cl605, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl600])).
% 1.83/1.30 thf(zip_derived_cl688, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ X1 @ (inverse @ X0))
% 1.83/1.30 = (inverse @ (multiply @ (inverse @ X1) @ X0)))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl594, zip_derived_cl605])).
% 1.83/1.30 thf(zip_derived_cl521, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl486])).
% 1.83/1.30 thf(zip_derived_cl688, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ X1 @ (inverse @ X0))
% 1.83/1.30 = (inverse @ (multiply @ (inverse @ X1) @ X0)))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl594, zip_derived_cl605])).
% 1.83/1.30 thf(zip_derived_cl620, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (inverse @ (multiply @ X1 @ (inverse @ X0))) @ X1) = (X0))),
% 1.83/1.30 inference('demod', [status(thm)], [zip_derived_cl517, zip_derived_cl521])).
% 1.83/1.30 thf(zip_derived_cl600, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl594])).
% 1.83/1.30 thf(zip_derived_cl620, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (inverse @ (multiply @ X1 @ (inverse @ X0))) @ X1) = (X0))),
% 1.83/1.30 inference('demod', [status(thm)], [zip_derived_cl517, zip_derived_cl521])).
% 1.83/1.30 thf(zip_derived_cl628, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl620])).
% 1.83/1.30 thf(zip_derived_cl666, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (inverse @ X1) @ X0)
% 1.83/1.30 = (inverse @ (multiply @ X1 @ (inverse @ X0))))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl620, zip_derived_cl628])).
% 1.83/1.30 thf(zip_derived_cl1196, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.30 ((multiply @
% 1.83/1.30 (multiply @ X2 @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)) @
% 1.83/1.30 X1) = (X0))),
% 1.83/1.30 inference('demod', [status(thm)],
% 1.83/1.30 [zip_derived_cl480, zip_derived_cl521, zip_derived_cl521,
% 1.83/1.30 zip_derived_cl688, zip_derived_cl521, zip_derived_cl688,
% 1.83/1.30 zip_derived_cl666])).
% 1.83/1.30 thf(zip_derived_cl1221, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl1196])).
% 1.83/1.30 thf(zip_derived_cl1289, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl1221])).
% 1.83/1.30 thf(zip_derived_cl1289, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl1221])).
% 1.83/1.30 thf(zip_derived_cl1289, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl1221])).
% 1.83/1.30 thf(zip_derived_cl1313, plain,
% 1.83/1.30 ((((multiply @ a4 @ b4) != (multiply @ a4 @ b4))
% 1.83/1.30 | ((multiply @ c3 @ (multiply @ a3 @ b3))
% 1.83/1.30 != (multiply @ a3 @ (multiply @ c3 @ b3))))),
% 1.83/1.30 inference('demod', [status(thm)],
% 1.83/1.30 [zip_derived_cl516, zip_derived_cl1289, zip_derived_cl1289,
% 1.83/1.30 zip_derived_cl1289])).
% 1.83/1.30 thf(zip_derived_cl1314, plain,
% 1.83/1.30 (((multiply @ c3 @ (multiply @ a3 @ b3))
% 1.83/1.30 != (multiply @ a3 @ (multiply @ c3 @ b3)))),
% 1.83/1.30 inference('simplify', [status(thm)], [zip_derived_cl1313])).
% 1.83/1.30 thf(zip_derived_cl1289, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl1221])).
% 1.83/1.30 thf(zip_derived_cl605, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl600])).
% 1.83/1.30 thf(zip_derived_cl600, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)) = (X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl594])).
% 1.83/1.30 thf(zip_derived_cl678, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (inverse @ X0) @ (inverse @ X1))
% 1.83/1.30 = (inverse @ (multiply @ X0 @ X1)))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl605, zip_derived_cl600])).
% 1.83/1.30 thf(zip_derived_cl1347, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 1.83/1.30 = (inverse @ (multiply @ X0 @ X1)))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl1289, zip_derived_cl678])).
% 1.83/1.30 thf(zip_derived_cl666, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (inverse @ X1) @ X0)
% 1.83/1.30 = (inverse @ (multiply @ X1 @ (inverse @ X0))))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl620, zip_derived_cl628])).
% 1.83/1.30 thf(zip_derived_cl3, plain,
% 1.83/1.30 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.83/1.30 inference('cnf', [status(esa)], [identity])).
% 1.83/1.30 thf(zip_derived_cl808, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((identity)
% 1.83/1.30 = (double_divide @ (multiply @ X1 @ (inverse @ X0)) @
% 1.83/1.30 (multiply @ (inverse @ X1) @ X0)))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl666, zip_derived_cl3])).
% 1.83/1.30 thf(zip_derived_cl1886, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((identity)
% 1.83/1.30 = (double_divide @ (inverse @ (multiply @ X1 @ X0)) @
% 1.83/1.30 (multiply @ (inverse @ (inverse @ X0)) @ X1)))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl1347, zip_derived_cl808])).
% 1.83/1.30 thf(zip_derived_cl486, plain,
% 1.83/1.30 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.83/1.30 inference('demod', [status(thm)],
% 1.83/1.30 [zip_derived_cl313, zip_derived_cl463, zip_derived_cl2])).
% 1.83/1.30 thf(zip_derived_cl521, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((inverse @ (multiply @ X1 @ X0)) = (double_divide @ X0 @ X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl486])).
% 1.83/1.30 thf(zip_derived_cl1221, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl1196])).
% 1.83/1.30 thf(zip_derived_cl605, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))) = (inverse @ X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl600])).
% 1.83/1.30 thf(zip_derived_cl1266, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ X1 @ (inverse @ X0))
% 1.83/1.30 = (inverse @ (multiply @ X0 @ (inverse @ X1))))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl1221, zip_derived_cl605])).
% 1.83/1.30 thf(zip_derived_cl1934, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((identity)
% 1.83/1.30 = (multiply @ (multiply @ X1 @ X0) @
% 1.83/1.30 (inverse @ (multiply @ X0 @ X1))))),
% 1.83/1.30 inference('demod', [status(thm)],
% 1.83/1.30 [zip_derived_cl1886, zip_derived_cl486, zip_derived_cl521,
% 1.83/1.30 zip_derived_cl1266])).
% 1.83/1.30 thf(zip_derived_cl1221, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (multiply @ X1 @ (inverse @ X0)) @ X0) = (X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl1196])).
% 1.83/1.30 thf(zip_derived_cl1982, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ identity @ (multiply @ X0 @ X1)) = (multiply @ X1 @ X0))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl1934, zip_derived_cl1221])).
% 1.83/1.30 thf(zip_derived_cl628, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i]:
% 1.83/1.30 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl600, zip_derived_cl620])).
% 1.83/1.30 thf(zip_derived_cl1196, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.30 ((multiply @
% 1.83/1.30 (multiply @ X2 @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)) @
% 1.83/1.30 X1) = (X0))),
% 1.83/1.30 inference('demod', [status(thm)],
% 1.83/1.30 [zip_derived_cl480, zip_derived_cl521, zip_derived_cl521,
% 1.83/1.30 zip_derived_cl688, zip_derived_cl521, zip_derived_cl688,
% 1.83/1.30 zip_derived_cl666])).
% 1.83/1.30 thf(zip_derived_cl1222, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.30 ((multiply @ (multiply @ X2 @ X0) @ X1)
% 1.83/1.30 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl628, zip_derived_cl1196])).
% 1.83/1.30 thf(zip_derived_cl2311, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.30 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 1.83/1.30 = (multiply @ (multiply @ X0 @ X1) @ (multiply @ identity @ X2)))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl1982, zip_derived_cl1222])).
% 1.83/1.30 thf(zip_derived_cl1222, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.30 ((multiply @ (multiply @ X2 @ X0) @ X1)
% 1.83/1.30 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl628, zip_derived_cl1196])).
% 1.83/1.30 thf(zip_derived_cl10, plain,
% 1.83/1.30 (![X0 : $i]: ((multiply @ identity @ X0) = (inverse @ (inverse @ X0)))),
% 1.83/1.30 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 1.83/1.30 thf(zip_derived_cl486, plain,
% 1.83/1.30 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.83/1.30 inference('demod', [status(thm)],
% 1.83/1.30 [zip_derived_cl313, zip_derived_cl463, zip_derived_cl2])).
% 1.83/1.30 thf(zip_derived_cl514, plain,
% 1.83/1.30 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.83/1.30 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl486])).
% 1.83/1.30 thf(zip_derived_cl1222, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.30 ((multiply @ (multiply @ X2 @ X0) @ X1)
% 1.83/1.30 = (multiply @ X0 @ (multiply @ X2 @ X1)))),
% 1.83/1.30 inference('sup+', [status(thm)], [zip_derived_cl628, zip_derived_cl1196])).
% 1.83/1.30 thf(zip_derived_cl2334, plain,
% 1.83/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.83/1.30 ((multiply @ X0 @ (multiply @ X1 @ X2))
% 1.83/1.30 = (multiply @ X1 @ (multiply @ X0 @ X2)))),
% 1.83/1.30 inference('demod', [status(thm)],
% 1.83/1.30 [zip_derived_cl2311, zip_derived_cl1222, zip_derived_cl514,
% 1.83/1.30 zip_derived_cl1222])).
% 1.83/1.30 thf(zip_derived_cl3764, plain,
% 1.83/1.30 (((multiply @ a3 @ (multiply @ c3 @ b3))
% 1.83/1.30 != (multiply @ a3 @ (multiply @ c3 @ b3)))),
% 1.83/1.30 inference('demod', [status(thm)],
% 1.83/1.30 [zip_derived_cl1314, zip_derived_cl2334])).
% 1.83/1.30 thf(zip_derived_cl3765, plain, ($false),
% 1.83/1.30 inference('simplify', [status(thm)], [zip_derived_cl3764])).
% 1.83/1.30
% 1.83/1.30 % SZS output end Refutation
% 1.83/1.30
% 1.83/1.30
% 1.83/1.30 % Terminating...
% 5.37/1.39 % Runner terminated.
% 5.37/1.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------