TSTP Solution File: GRP002-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP002-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5O3TjMs3m6 true
% Computer : n006.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 01:49:26 EDT 2023
% Result : Unsatisfiable 0.93s 1.24s
% Output : Refutation 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP002-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.15/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5O3TjMs3m6 true
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Aug 28 20:08:51 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.36 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.61/0.68 % Total configuration time : 435
% 0.61/0.68 % Estimated wc time : 1092
% 0.61/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.91/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.91/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.91/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.93/1.24 % Solved by fo/fo13.sh.
% 0.93/1.24 % done 357 iterations in 0.444s
% 0.93/1.24 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.93/1.24 % SZS output start Refutation
% 0.93/1.24 thf(d_type, type, d: $i).
% 0.93/1.24 thf(j_type, type, j: $i).
% 0.93/1.24 thf(c_type, type, c: $i).
% 0.93/1.24 thf(b_type, type, b: $i).
% 0.93/1.24 thf(identity_type, type, identity: $i).
% 0.93/1.24 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.93/1.24 thf(inverse_type, type, inverse: $i > $i).
% 0.93/1.24 thf(a_type, type, a: $i).
% 0.93/1.24 thf(k_type, type, k: $i).
% 0.93/1.24 thf(h_type, type, h: $i).
% 0.93/1.24 thf(h_times_b_is_j, conjecture, (( multiply @ h @ b ) != ( j ))).
% 0.93/1.24 thf(zf_stmt_0, negated_conjecture, (( multiply @ h @ b ) = ( j )),
% 0.93/1.24 inference('cnf.neg', [status(esa)], [h_times_b_is_j])).
% 0.93/1.24 thf(zip_derived_cl9, plain, (((multiply @ h @ b) = (j))),
% 0.93/1.24 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.93/1.24 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.93/1.24 thf(zip_derived_cl1, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [left_inverse])).
% 0.93/1.24 thf(d_times_inverse_b_is_h, conjecture,
% 0.93/1.24 (( multiply @ d @ ( inverse @ b ) ) != ( h ))).
% 0.93/1.24 thf(zf_stmt_1, negated_conjecture,
% 0.93/1.24 (( multiply @ d @ ( inverse @ b ) ) = ( h )),
% 0.93/1.24 inference('cnf.neg', [status(esa)], [d_times_inverse_b_is_h])).
% 0.93/1.24 thf(zip_derived_cl8, plain, (((multiply @ d @ (inverse @ b)) = (h))),
% 0.93/1.24 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.93/1.24 thf(associativity, axiom,
% 0.93/1.24 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.93/1.24 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl32, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ h @ X0)
% 0.93/1.24 = (multiply @ d @ (multiply @ (inverse @ b) @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl374, plain,
% 0.93/1.24 (((multiply @ h @ b) = (multiply @ d @ identity))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl32])).
% 0.93/1.24 thf(zip_derived_cl9, plain, (((multiply @ h @ b) = (j))),
% 0.93/1.24 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.93/1.24 thf(right_identity, axiom, (( multiply @ X @ identity ) = ( X ))).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl379, plain, (((j) = (d))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl374, zip_derived_cl9, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl386, plain, (((multiply @ h @ b) = (d))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl379])).
% 0.93/1.24 thf(j_times_inverse_h_is_k, conjecture,
% 0.93/1.24 (( multiply @ j @ ( inverse @ h ) ) != ( k ))).
% 0.93/1.24 thf(zf_stmt_2, negated_conjecture,
% 0.93/1.24 (( multiply @ j @ ( inverse @ h ) ) = ( k )),
% 0.93/1.24 inference('cnf.neg', [status(esa)], [j_times_inverse_h_is_k])).
% 0.93/1.24 thf(zip_derived_cl10, plain, (((multiply @ j @ (inverse @ h)) = (k))),
% 0.93/1.24 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.93/1.24 thf(zip_derived_cl379, plain, (((j) = (d))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl374, zip_derived_cl9, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl387, plain, (((multiply @ d @ (inverse @ h)) = (k))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl379])).
% 0.93/1.24 thf(right_inverse, axiom,
% 0.93/1.24 (( multiply @ X @ ( inverse @ X ) ) = ( identity ))).
% 0.93/1.24 thf(zip_derived_cl4, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_inverse])).
% 0.93/1.24 thf(x_cubed_is_identity, axiom,
% 0.93/1.24 (( multiply @ X @ ( multiply @ X @ X ) ) = ( identity ))).
% 0.93/1.24 thf(zip_derived_cl5, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ (multiply @ X0 @ X0)) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [x_cubed_is_identity])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl24, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((multiply @ identity @ X0)
% 0.93/1.24 = (multiply @ X1 @ (multiply @ (multiply @ X1 @ X1) @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 0.93/1.24 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.93/1.24 thf(zip_derived_cl0, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [left_identity])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl663, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((inverse @ X0) = (multiply @ X0 @ (multiply @ X0 @ identity)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl37])).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl700, plain,
% 0.93/1.24 (![X0 : $i]: ((inverse @ X0) = (multiply @ X0 @ X0))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl663, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl820, plain, (((multiply @ d @ (multiply @ h @ h)) = (k))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl387, zip_derived_cl700])).
% 0.93/1.24 thf(zip_derived_cl700, plain,
% 0.93/1.24 (![X0 : $i]: ((inverse @ X0) = (multiply @ X0 @ X0))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl663, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl4, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_inverse])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl23, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((identity)
% 0.93/1.24 = (multiply @ X1 @
% 0.93/1.24 (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.93/1.24 thf(c_times_inverse_a_is_d, conjecture,
% 0.93/1.24 (( multiply @ c @ ( inverse @ a ) ) != ( d ))).
% 0.93/1.24 thf(zf_stmt_3, negated_conjecture,
% 0.93/1.24 (( multiply @ c @ ( inverse @ a ) ) = ( d )),
% 0.93/1.24 inference('cnf.neg', [status(esa)], [c_times_inverse_a_is_d])).
% 0.93/1.24 thf(zip_derived_cl7, plain, (((multiply @ c @ (inverse @ a)) = (d))),
% 0.93/1.24 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.93/1.24 thf(zip_derived_cl23, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((identity)
% 0.93/1.24 = (multiply @ X1 @
% 0.93/1.24 (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl253, plain,
% 0.93/1.24 (((identity)
% 0.93/1.24 = (multiply @ c @ (multiply @ (inverse @ a) @ (inverse @ d))))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl23])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl428, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ identity @ X0)
% 0.93/1.24 = (multiply @ c @
% 0.93/1.24 (multiply @ (multiply @ (inverse @ a) @ (inverse @ d)) @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl253, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl0, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [left_identity])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl7, plain, (((multiply @ c @ (inverse @ a)) = (d))),
% 0.93/1.24 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl31, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ d @ X0)
% 0.93/1.24 = (multiply @ c @ (multiply @ (inverse @ a) @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl433, plain,
% 0.93/1.24 (![X0 : $i]: ((X0) = (multiply @ d @ (multiply @ (inverse @ d) @ X0)))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl428, zip_derived_cl0, zip_derived_cl2,
% 0.93/1.24 zip_derived_cl31])).
% 0.93/1.24 thf(zip_derived_cl610, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ X0 @ (inverse @ (multiply @ (inverse @ d) @ X0)))
% 0.93/1.24 = (multiply @ d @ identity))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl433])).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl616, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ X0 @ (inverse @ (multiply @ (inverse @ d) @ X0))) = (d))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl610, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl700, plain,
% 0.93/1.24 (![X0 : $i]: ((inverse @ X0) = (multiply @ X0 @ X0))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl663, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl2479, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ X0 @ (inverse @ (multiply @ d @ (multiply @ d @ X0))))
% 0.93/1.24 = (d))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl616, zip_derived_cl700, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl2507, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ (multiply @ d @ X0) @ (inverse @ X0)) = (d))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl2479])).
% 0.93/1.24 thf(zip_derived_cl2569, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ d @ X0) @ (multiply @ X0 @ X0)) = (d))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl700, zip_derived_cl2507])).
% 0.93/1.24 thf(zip_derived_cl2840, plain,
% 0.93/1.24 (((multiply @ k @ (multiply @ (multiply @ h @ h) @ (multiply @ h @ h)))
% 0.93/1.24 = (d))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl820, zip_derived_cl2569])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl5, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ (multiply @ X0 @ X0)) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [x_cubed_is_identity])).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl2863, plain, (((multiply @ k @ h) = (d))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl2840, zip_derived_cl2, zip_derived_cl5,
% 0.93/1.24 zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl2878, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ d @ X0) = (multiply @ k @ (multiply @ h @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl2863, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl2956, plain, (((multiply @ d @ b) = (multiply @ k @ d))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl386, zip_derived_cl2878])).
% 0.93/1.24 thf(zip_derived_cl1, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [left_inverse])).
% 0.93/1.24 thf(zip_derived_cl31, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ d @ X0)
% 0.93/1.24 = (multiply @ c @ (multiply @ (inverse @ a) @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl69, plain,
% 0.93/1.24 (((multiply @ d @ a) = (multiply @ c @ identity))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl31])).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl73, plain, (((multiply @ d @ a) = (c))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl168, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ c @ X0) = (multiply @ d @ (multiply @ a @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl700, plain,
% 0.93/1.24 (![X0 : $i]: ((inverse @ X0) = (multiply @ X0 @ X0))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl663, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl4, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_inverse])).
% 0.93/1.24 thf(zip_derived_cl4, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_inverse])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl26, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((multiply @ identity @ X0)
% 0.93/1.24 = (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl0, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [left_identity])).
% 0.93/1.24 thf(zip_derived_cl39, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 0.93/1.24 thf(zip_derived_cl783, plain,
% 0.93/1.24 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (multiply @ X0 @ identity))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl39])).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl793, plain,
% 0.93/1.24 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl783, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl2507, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ (multiply @ d @ X0) @ (inverse @ X0)) = (d))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl2479])).
% 0.93/1.24 thf(zip_derived_cl2579, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ (multiply @ d @ (inverse @ X0)) @ X0) = (d))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl793, zip_derived_cl2507])).
% 0.93/1.24 thf(zip_derived_cl2640, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ d @ (multiply @ X0 @ X0)) @ X0) = (d))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl700, zip_derived_cl2579])).
% 0.93/1.24 thf(zip_derived_cl3111, plain, (((multiply @ (multiply @ c @ a) @ a) = (d))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl168, zip_derived_cl2640])).
% 0.93/1.24 thf(zip_derived_cl1, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [left_inverse])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl29, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((multiply @ identity @ X0)
% 0.93/1.24 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl0, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [left_identity])).
% 0.93/1.24 thf(zip_derived_cl41, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 0.93/1.24 thf(zip_derived_cl3145, plain,
% 0.93/1.24 (((a) = (multiply @ (inverse @ (multiply @ c @ a)) @ d))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl3111, zip_derived_cl41])).
% 0.93/1.24 thf(zip_derived_cl5, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ (multiply @ X0 @ X0)) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [x_cubed_is_identity])).
% 0.93/1.24 thf(a_times_b_is_c, conjecture, (( multiply @ a @ b ) != ( c ))).
% 0.93/1.24 thf(zf_stmt_4, negated_conjecture, (( multiply @ a @ b ) = ( c )),
% 0.93/1.24 inference('cnf.neg', [status(esa)], [a_times_b_is_c])).
% 0.93/1.24 thf(zip_derived_cl6, plain, (((multiply @ a @ b) = (c))),
% 0.93/1.24 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl30, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ c @ X0) = (multiply @ a @ (multiply @ b @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl44, plain,
% 0.93/1.24 (((multiply @ c @ (multiply @ b @ b)) = (multiply @ a @ identity))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl30])).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl47, plain, (((multiply @ c @ (multiply @ b @ b)) = (a))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl673, plain,
% 0.93/1.24 (((multiply @ b @ b) = (multiply @ c @ (multiply @ c @ a)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl37])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl23, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((identity)
% 0.93/1.24 = (multiply @ X1 @
% 0.93/1.24 (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl6, plain, (((multiply @ a @ b) = (c))),
% 0.93/1.24 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.93/1.24 thf(zip_derived_cl23, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((identity)
% 0.93/1.24 = (multiply @ X1 @
% 0.93/1.24 (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl249, plain,
% 0.93/1.24 (((identity) = (multiply @ a @ (multiply @ b @ (inverse @ c))))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl23])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl299, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ identity @ X0)
% 0.93/1.24 = (multiply @ a @ (multiply @ (multiply @ b @ (inverse @ c)) @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl0, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [left_identity])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl30, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ c @ X0) = (multiply @ a @ (multiply @ b @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl305, plain,
% 0.93/1.24 (![X0 : $i]: ((X0) = (multiply @ c @ (multiply @ (inverse @ c) @ X0)))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl299, zip_derived_cl0, zip_derived_cl2,
% 0.93/1.24 zip_derived_cl30])).
% 0.93/1.24 thf(zip_derived_cl318, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ X0 @ (inverse @ (multiply @ (inverse @ c) @ X0)))
% 0.93/1.24 = (multiply @ c @ identity))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl305])).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl323, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ X0 @ (inverse @ (multiply @ (inverse @ c) @ X0))) = (c))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl318, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl700, plain,
% 0.93/1.24 (![X0 : $i]: ((inverse @ X0) = (multiply @ X0 @ X0))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl663, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl1685, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ X0 @ (inverse @ (multiply @ c @ (multiply @ c @ X0))))
% 0.93/1.24 = (c))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl323, zip_derived_cl700, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl1707, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ (multiply @ c @ X0) @ (inverse @ X0)) = (c))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl1685])).
% 0.93/1.24 thf(zip_derived_cl41, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 0.93/1.24 thf(zip_derived_cl1749, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ c @ X0)) @ c))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl1707, zip_derived_cl41])).
% 0.93/1.24 thf(zip_derived_cl2196, plain,
% 0.93/1.24 (((inverse @ (multiply @ c @ a))
% 0.93/1.24 = (multiply @ (inverse @ (multiply @ b @ b)) @ c))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl673, zip_derived_cl1749])).
% 0.93/1.24 thf(zip_derived_cl4, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_inverse])).
% 0.93/1.24 thf(zip_derived_cl32, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ h @ X0)
% 0.93/1.24 = (multiply @ d @ (multiply @ (inverse @ b) @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl373, plain,
% 0.93/1.24 (((multiply @ h @ (inverse @ (inverse @ b))) = (multiply @ d @ identity))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl32])).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl378, plain,
% 0.93/1.24 (((multiply @ h @ (inverse @ (inverse @ b))) = (d))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl373, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl700, plain,
% 0.93/1.24 (![X0 : $i]: ((inverse @ X0) = (multiply @ X0 @ X0))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl663, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl819, plain,
% 0.93/1.24 (((multiply @ h @ (inverse @ (multiply @ b @ b))) = (d))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl378, zip_derived_cl700])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl1063, plain,
% 0.93/1.24 (((inverse @ (multiply @ b @ b)) = (multiply @ h @ (multiply @ h @ d)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl819, zip_derived_cl37])).
% 0.93/1.24 thf(zip_derived_cl386, plain, (((multiply @ h @ b) = (d))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl379])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl692, plain, (((b) = (multiply @ h @ (multiply @ h @ d)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl37])).
% 0.93/1.24 thf(zip_derived_cl1066, plain, (((inverse @ (multiply @ b @ b)) = (b))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl1063, zip_derived_cl692])).
% 0.93/1.24 thf(zip_derived_cl2210, plain,
% 0.93/1.24 (((inverse @ (multiply @ c @ a)) = (multiply @ b @ c))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl2196, zip_derived_cl1066])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl3155, plain, (((a) = (multiply @ b @ (multiply @ c @ d)))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl3145, zip_derived_cl2210, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl9, plain, (((multiply @ h @ b) = (j))),
% 0.93/1.24 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl33, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ j @ X0) = (multiply @ h @ (multiply @ b @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl379, plain, (((j) = (d))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl374, zip_derived_cl9, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl388, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ d @ X0) = (multiply @ h @ (multiply @ b @ X0)))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl379])).
% 0.93/1.24 thf(zip_derived_cl3174, plain,
% 0.93/1.24 (((multiply @ d @ (multiply @ c @ d)) = (multiply @ h @ a))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl3155, zip_derived_cl388])).
% 0.93/1.24 thf(zip_derived_cl30, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ c @ X0) = (multiply @ a @ (multiply @ b @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl168, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ c @ X0) = (multiply @ d @ (multiply @ a @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl182, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ c @ (multiply @ b @ X0))
% 0.93/1.24 = (multiply @ d @ (multiply @ c @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl168])).
% 0.93/1.24 thf(zip_derived_cl4469, plain,
% 0.93/1.24 (((multiply @ c @ (multiply @ b @ d)) = (multiply @ h @ a))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl3174, zip_derived_cl182])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl4547, plain,
% 0.93/1.24 (((multiply @ b @ d)
% 0.93/1.24 = (multiply @ c @ (multiply @ c @ (multiply @ h @ a))))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl4469, zip_derived_cl37])).
% 0.93/1.24 thf(zip_derived_cl5, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ (multiply @ X0 @ X0)) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [x_cubed_is_identity])).
% 0.93/1.24 thf(zip_derived_cl168, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ c @ X0) = (multiply @ d @ (multiply @ a @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl179, plain,
% 0.93/1.24 (((multiply @ c @ (multiply @ a @ a)) = (multiply @ d @ identity))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl168])).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl184, plain, (((multiply @ c @ (multiply @ a @ a)) = (d))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl179, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl674, plain,
% 0.93/1.24 (((multiply @ a @ a) = (multiply @ c @ (multiply @ c @ d)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl37])).
% 0.93/1.24 thf(zip_derived_cl1749, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ c @ X0)) @ c))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl1707, zip_derived_cl41])).
% 0.93/1.24 thf(zip_derived_cl2195, plain,
% 0.93/1.24 (((inverse @ (multiply @ c @ d))
% 0.93/1.24 = (multiply @ (inverse @ (multiply @ a @ a)) @ c))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl674, zip_derived_cl1749])).
% 0.93/1.24 thf(zip_derived_cl4, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_inverse])).
% 0.93/1.24 thf(zip_derived_cl31, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((multiply @ d @ X0)
% 0.93/1.24 = (multiply @ c @ (multiply @ (inverse @ a) @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl68, plain,
% 0.93/1.24 (((multiply @ d @ (inverse @ (inverse @ a))) = (multiply @ c @ identity))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl31])).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl72, plain,
% 0.93/1.24 (((multiply @ d @ (inverse @ (inverse @ a))) = (c))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl685, plain,
% 0.93/1.24 (((inverse @ (inverse @ a)) = (multiply @ d @ (multiply @ d @ c)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl37])).
% 0.93/1.24 thf(zip_derived_cl6, plain, (((multiply @ a @ b) = (c))),
% 0.93/1.24 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.93/1.24 thf(zip_derived_cl168, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ c @ X0) = (multiply @ d @ (multiply @ a @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl183, plain, (((multiply @ c @ b) = (multiply @ d @ c))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl168])).
% 0.93/1.24 thf(zip_derived_cl709, plain,
% 0.93/1.24 (((inverse @ (inverse @ a)) = (multiply @ d @ (multiply @ c @ b)))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl685, zip_derived_cl183])).
% 0.93/1.24 thf(zip_derived_cl700, plain,
% 0.93/1.24 (![X0 : $i]: ((inverse @ X0) = (multiply @ X0 @ X0))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl663, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl73, plain, (((multiply @ d @ a) = (c))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl687, plain, (((a) = (multiply @ d @ (multiply @ d @ c)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl37])).
% 0.93/1.24 thf(zip_derived_cl183, plain, (((multiply @ c @ b) = (multiply @ d @ c))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl168])).
% 0.93/1.24 thf(zip_derived_cl710, plain, (((a) = (multiply @ d @ (multiply @ c @ b)))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl687, zip_derived_cl183])).
% 0.93/1.24 thf(zip_derived_cl945, plain, (((inverse @ (multiply @ a @ a)) = (a))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl709, zip_derived_cl700, zip_derived_cl710])).
% 0.93/1.24 thf(zip_derived_cl2209, plain,
% 0.93/1.24 (((inverse @ (multiply @ c @ d)) = (multiply @ a @ c))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl2195, zip_derived_cl945])).
% 0.93/1.24 thf(zip_derived_cl4, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_inverse])).
% 0.93/1.24 thf(zip_derived_cl2214, plain,
% 0.93/1.24 (((multiply @ (multiply @ c @ d) @ (multiply @ a @ c)) = (identity))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl2209, zip_derived_cl4])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl3604, plain,
% 0.93/1.24 (((multiply @ a @ c)
% 0.93/1.24 = (multiply @ (multiply @ c @ d) @
% 0.93/1.24 (multiply @ (multiply @ c @ d) @ identity)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl2214, zip_derived_cl37])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl2, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.24 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.93/1.24 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.93/1.24 inference('cnf', [status(esa)], [associativity])).
% 0.93/1.24 thf(zip_derived_cl3174, plain,
% 0.93/1.24 (((multiply @ d @ (multiply @ c @ d)) = (multiply @ h @ a))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl3155, zip_derived_cl388])).
% 0.93/1.24 thf(zip_derived_cl3618, plain,
% 0.93/1.24 (((multiply @ a @ c) = (multiply @ c @ (multiply @ h @ a)))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl3604, zip_derived_cl2, zip_derived_cl3,
% 0.93/1.24 zip_derived_cl2, zip_derived_cl3174])).
% 0.93/1.24 thf(zip_derived_cl6, plain, (((multiply @ a @ b) = (c))),
% 0.93/1.24 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl671, plain, (((b) = (multiply @ a @ (multiply @ a @ c)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl37])).
% 0.93/1.24 thf(zip_derived_cl168, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ c @ X0) = (multiply @ d @ (multiply @ a @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl749, plain,
% 0.93/1.24 (((multiply @ c @ (multiply @ a @ c)) = (multiply @ d @ b))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl671, zip_derived_cl168])).
% 0.93/1.24 thf(zip_derived_cl4568, plain, (((multiply @ b @ d) = (multiply @ d @ b))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl4547, zip_derived_cl3618, zip_derived_cl749])).
% 0.93/1.24 thf(zip_derived_cl4584, plain, (((multiply @ b @ d) = (multiply @ k @ d))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl2956, zip_derived_cl4568])).
% 0.93/1.24 thf(zip_derived_cl23, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((identity)
% 0.93/1.24 = (multiply @ X1 @
% 0.93/1.24 (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl4651, plain,
% 0.93/1.24 (((identity)
% 0.93/1.24 = (multiply @ k @ (multiply @ d @ (inverse @ (multiply @ b @ d)))))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl4584, zip_derived_cl23])).
% 0.93/1.24 thf(zip_derived_cl5, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ (multiply @ X0 @ X0)) = (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [x_cubed_is_identity])).
% 0.93/1.24 thf(zip_derived_cl33, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ j @ X0) = (multiply @ h @ (multiply @ b @ X0)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl55, plain,
% 0.93/1.24 (((multiply @ j @ (multiply @ b @ b)) = (multiply @ h @ identity))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 0.93/1.24 thf(zip_derived_cl3, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.93/1.24 inference('cnf', [status(esa)], [right_identity])).
% 0.93/1.24 thf(zip_derived_cl58, plain, (((multiply @ j @ (multiply @ b @ b)) = (h))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl379, plain, (((j) = (d))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl374, zip_derived_cl9, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl389, plain, (((multiply @ d @ (multiply @ b @ b)) = (h))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl379])).
% 0.93/1.24 thf(zip_derived_cl37, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ X1 @ (multiply @ X1 @ (multiply @ X1 @ X0))))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl24, zip_derived_cl0, zip_derived_cl2])).
% 0.93/1.24 thf(zip_derived_cl682, plain,
% 0.93/1.24 (((multiply @ b @ b) = (multiply @ d @ (multiply @ d @ h)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl389, zip_derived_cl37])).
% 0.93/1.24 thf(zip_derived_cl2507, plain,
% 0.93/1.24 (![X0 : $i]: ((multiply @ (multiply @ d @ X0) @ (inverse @ X0)) = (d))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl2479])).
% 0.93/1.24 thf(zip_derived_cl41, plain,
% 0.93/1.24 (![X0 : $i, X1 : $i]:
% 0.93/1.24 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 0.93/1.24 thf(zip_derived_cl2564, plain,
% 0.93/1.24 (![X0 : $i]:
% 0.93/1.24 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ d @ X0)) @ d))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl2507, zip_derived_cl41])).
% 0.93/1.24 thf(zip_derived_cl2721, plain,
% 0.93/1.24 (((inverse @ (multiply @ d @ h))
% 0.93/1.24 = (multiply @ (inverse @ (multiply @ b @ b)) @ d))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl682, zip_derived_cl2564])).
% 0.93/1.24 thf(zip_derived_cl1066, plain, (((inverse @ (multiply @ b @ b)) = (b))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl1063, zip_derived_cl692])).
% 0.93/1.24 thf(zip_derived_cl2737, plain,
% 0.93/1.24 (((inverse @ (multiply @ d @ h)) = (multiply @ b @ d))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl2721, zip_derived_cl1066])).
% 0.93/1.24 thf(zip_derived_cl793, plain,
% 0.93/1.24 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl783, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl2745, plain,
% 0.93/1.24 (((inverse @ (multiply @ b @ d)) = (multiply @ d @ h))),
% 0.93/1.24 inference('s_sup+', [status(thm)],
% 0.93/1.24 [zip_derived_cl2737, zip_derived_cl793])).
% 0.93/1.24 thf(zip_derived_cl682, plain,
% 0.93/1.24 (((multiply @ b @ b) = (multiply @ d @ (multiply @ d @ h)))),
% 0.93/1.24 inference('s_sup+', [status(thm)], [zip_derived_cl389, zip_derived_cl37])).
% 0.93/1.24 thf(zip_derived_cl4660, plain,
% 0.93/1.24 (((identity) = (multiply @ k @ (multiply @ b @ b)))),
% 0.93/1.24 inference('demod', [status(thm)],
% 0.93/1.24 [zip_derived_cl4651, zip_derived_cl2745, zip_derived_cl682])).
% 0.93/1.24 thf(prove_k_times_inverse_b_is_e, conjecture,
% 0.93/1.24 (( multiply @ k @ ( inverse @ b ) ) = ( identity ))).
% 0.93/1.24 thf(zf_stmt_5, negated_conjecture,
% 0.93/1.24 (( multiply @ k @ ( inverse @ b ) ) != ( identity )),
% 0.93/1.24 inference('cnf.neg', [status(esa)], [prove_k_times_inverse_b_is_e])).
% 0.93/1.24 thf(zip_derived_cl11, plain,
% 0.93/1.24 (((multiply @ k @ (inverse @ b)) != (identity))),
% 0.93/1.24 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.93/1.24 thf(zip_derived_cl700, plain,
% 0.93/1.24 (![X0 : $i]: ((inverse @ X0) = (multiply @ X0 @ X0))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl663, zip_derived_cl3])).
% 0.93/1.24 thf(zip_derived_cl812, plain,
% 0.93/1.24 (((multiply @ k @ (multiply @ b @ b)) != (identity))),
% 0.93/1.24 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl700])).
% 0.93/1.24 thf(zip_derived_cl4661, plain, ($false),
% 0.93/1.24 inference('simplify_reflect-', [status(thm)],
% 0.93/1.24 [zip_derived_cl4660, zip_derived_cl812])).
% 0.93/1.24
% 0.93/1.24 % SZS output end Refutation
% 0.93/1.24
% 0.93/1.24
% 0.93/1.24 % Terminating...
% 0.93/1.30 % Runner terminated.
% 0.93/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------