TSTP Solution File: GRP261-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP261-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ENEsfYL8mM true
% Computer : n017.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 01:50:57 EDT 2023
% Result : Unsatisfiable 8.90s 2.00s
% Output : Refutation 8.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP261-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ENEsfYL8mM true
% 0.14/0.35 % Computer : n017.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 : Mon Aug 28 22:11:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/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
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.16/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.90/2.00 % Solved by fo/fo7.sh.
% 8.90/2.00 % done 4084 iterations in 1.159s
% 8.90/2.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.90/2.00 % SZS output start Refutation
% 8.90/2.00 thf(sk_c5_type, type, sk_c5: $i).
% 8.90/2.00 thf(sk_c7_type, type, sk_c7: $i).
% 8.90/2.00 thf(sk_c6_type, type, sk_c6: $i).
% 8.90/2.00 thf(sk_c4_type, type, sk_c4: $i).
% 8.90/2.00 thf(identity_type, type, identity: $i).
% 8.90/2.00 thf(multiply_type, type, multiply: $i > $i > $i).
% 8.90/2.00 thf(sk_c8_type, type, sk_c8: $i).
% 8.90/2.00 thf(inverse_type, type, inverse: $i > $i).
% 8.90/2.00 thf(sk_c3_type, type, sk_c3: $i).
% 8.90/2.00 thf(sk_c2_type, type, sk_c2: $i).
% 8.90/2.00 thf(sk_c1_type, type, sk_c1: $i).
% 8.90/2.00 thf(prove_this_31, conjecture,
% 8.90/2.00 (~( ( ( multiply @ X5 @ sk_c8 ) != ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 8.90/2.00 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 8.90/2.00 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 8.90/2.00 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_0, negated_conjecture,
% 8.90/2.00 (( ( multiply @ X5 @ sk_c8 ) != ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ X5 ) != ( sk_c6 ) ) | ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 8.90/2.00 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 8.90/2.00 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 8.90/2.00 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 8.90/2.00 thf(zip_derived_cl33, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.90/2.00 (((multiply @ X0 @ sk_c8) != (sk_c6))
% 8.90/2.00 | ((inverse @ X0) != (sk_c6))
% 8.90/2.00 | ((inverse @ X1) != (sk_c7))
% 8.90/2.00 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 8.90/2.00 | ((inverse @ X2) != (sk_c8))
% 8.90/2.00 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 8.90/2.00 | ((multiply @ sk_c6 @ sk_c8) != (sk_c7))
% 8.90/2.00 | ((inverse @ X3) != (sk_c7))
% 8.90/2.00 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 8.90/2.00 | ((inverse @ X4) != (sk_c8))
% 8.90/2.00 | ((multiply @ X4 @ sk_c8) != (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.90/2.00 thf(prove_this_10, conjecture,
% 8.90/2.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 8.90/2.00 thf(zf_stmt_1, negated_conjecture,
% 8.90/2.00 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 8.90/2.00 thf(zip_derived_cl12, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.90/2.00 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl36, plain,
% 8.90/2.00 ((((multiply @ sk_c7 @ sk_c4) = (identity))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(associativity, axiom,
% 8.90/2.00 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 8.90/2.00 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 8.90/2.00 thf(zip_derived_cl2, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 8.90/2.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 8.90/2.00 inference('cnf', [status(esa)], [associativity])).
% 8.90/2.00 thf(zip_derived_cl84, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((multiply @ identity @ X0)
% 8.90/2.00 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 8.90/2.00 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl141, plain,
% 8.90/2.00 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl116])).
% 8.90/2.00 thf(prove_this_9, conjecture,
% 8.90/2.00 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 8.90/2.00 thf(zf_stmt_2, negated_conjecture,
% 8.90/2.00 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 8.90/2.00 thf(zip_derived_cl11, plain,
% 8.90/2.00 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 8.90/2.00 thf(prove_this_11, conjecture,
% 8.90/2.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 8.90/2.00 thf(zf_stmt_3, negated_conjecture,
% 8.90/2.00 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 8.90/2.00 thf(zip_derived_cl13, plain,
% 8.90/2.00 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl37, plain,
% 8.90/2.00 ((((multiply @ sk_c6 @ sk_c5) = (identity))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl48, plain,
% 8.90/2.00 ((((multiply @ (multiply @ sk_c4 @ sk_c7) @ sk_c5) = (identity))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl37])).
% 8.90/2.00 thf(zip_derived_cl49, plain,
% 8.90/2.00 ((((inverse @ sk_c1) = (sk_c8))
% 8.90/2.00 | ((multiply @ (multiply @ sk_c4 @ sk_c7) @ sk_c5) = (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl48])).
% 8.90/2.00 thf(zip_derived_cl217, plain,
% 8.90/2.00 ((((multiply @
% 8.90/2.00 (multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7) @
% 8.90/2.00 sk_c5) = (identity))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl49])).
% 8.90/2.00 thf(zip_derived_cl2, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 8.90/2.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 8.90/2.00 inference('cnf', [status(esa)], [associativity])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl221, plain,
% 8.90/2.00 ((((sk_c5) = (identity))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl217, zip_derived_cl2, zip_derived_cl0,
% 8.90/2.00 zip_derived_cl1, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl222, plain,
% 8.90/2.00 ((((inverse @ sk_c1) = (sk_c8)) | ((sk_c5) = (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl221])).
% 8.90/2.00 thf(prove_this_12, conjecture,
% 8.90/2.00 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 8.90/2.00 thf(zf_stmt_4, negated_conjecture,
% 8.90/2.00 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 8.90/2.00 thf(zip_derived_cl14, plain,
% 8.90/2.00 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.90/2.00 thf(zip_derived_cl227, plain,
% 8.90/2.00 ((((multiply @ identity @ sk_c8) = (sk_c6))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl222, zip_derived_cl14])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl237, plain,
% 8.90/2.00 ((((sk_c8) = (sk_c6))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl227, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl238, plain,
% 8.90/2.00 ((((inverse @ sk_c1) = (sk_c8)) | ((sk_c8) = (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl237])).
% 8.90/2.00 thf(zip_derived_cl222, plain,
% 8.90/2.00 ((((inverse @ sk_c1) = (sk_c8)) | ((sk_c5) = (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl221])).
% 8.90/2.00 thf(zip_derived_cl13, plain,
% 8.90/2.00 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 8.90/2.00 thf(zip_derived_cl226, plain,
% 8.90/2.00 ((((inverse @ identity) = (sk_c6))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl222, zip_derived_cl13])).
% 8.90/2.00 thf(zip_derived_cl236, plain,
% 8.90/2.00 ((((inverse @ sk_c1) = (sk_c8)) | ((inverse @ identity) = (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl226])).
% 8.90/2.00 thf(zip_derived_cl265, plain,
% 8.90/2.00 ((((inverse @ identity) = (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c1) = (sk_c8)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl238, zip_derived_cl236])).
% 8.90/2.00 thf(zip_derived_cl266, plain,
% 8.90/2.00 ((((inverse @ sk_c1) = (sk_c8)) | ((inverse @ identity) = (sk_c8)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl265])).
% 8.90/2.00 thf(prove_this_2, conjecture,
% 8.90/2.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_5, negated_conjecture,
% 8.90/2.00 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 8.90/2.00 thf(zip_derived_cl4, plain,
% 8.90/2.00 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_5])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl38, plain,
% 8.90/2.00 ((((multiply @ sk_c8 @ sk_c3) = (identity))
% 8.90/2.00 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl140, plain,
% 8.90/2.00 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 8.90/2.00 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl116])).
% 8.90/2.00 thf(prove_this_1, conjecture,
% 8.90/2.00 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_6, negated_conjecture,
% 8.90/2.00 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 8.90/2.00 thf(zip_derived_cl3, plain,
% 8.90/2.00 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 8.90/2.00 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.90/2.00 thf(zip_derived_cl443, plain,
% 8.90/2.00 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 8.90/2.00 = (sk_c7))
% 8.90/2.00 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 8.90/2.00 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl3])).
% 8.90/2.00 thf(zip_derived_cl2, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 8.90/2.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 8.90/2.00 inference('cnf', [status(esa)], [associativity])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl450, plain,
% 8.90/2.00 ((((identity) = (sk_c7))
% 8.90/2.00 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 8.90/2.00 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl443, zip_derived_cl2, zip_derived_cl0,
% 8.90/2.00 zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl451, plain,
% 8.90/2.00 ((((multiply @ sk_c1 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl450])).
% 8.90/2.00 thf(zip_derived_cl473, plain,
% 8.90/2.00 ((((multiply @ sk_c1 @ sk_c8) != (identity)) | ((identity) = (sk_c7)))),
% 8.90/2.00 inference('eq_fact', [status(thm)], [zip_derived_cl451])).
% 8.90/2.00 thf(zip_derived_cl474, plain,
% 8.90/2.00 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) != (identity))
% 8.90/2.00 | ((inverse @ identity) = (sk_c8))
% 8.90/2.00 | ((identity) = (sk_c7)))),
% 8.90/2.00 inference('sup-', [status(thm)], [zip_derived_cl266, zip_derived_cl473])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl136, plain,
% 8.90/2.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl116])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl182, plain,
% 8.90/2.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl116])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl2109, plain, (((inverse @ identity) = (identity))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl2118, plain,
% 8.90/2.00 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) != (identity))
% 8.90/2.00 | ((identity) = (sk_c8))
% 8.90/2.00 | ((identity) = (sk_c7)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl474, zip_derived_cl2109])).
% 8.90/2.00 thf(prove_this_20, conjecture,
% 8.90/2.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_7, negated_conjecture,
% 8.90/2.00 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 8.90/2.00 thf(zip_derived_cl22, plain,
% 8.90/2.00 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_7])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl42, plain,
% 8.90/2.00 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 8.90/2.00 | ((inverse @ sk_c3) = (sk_c8)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl143, plain,
% 8.90/2.00 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 8.90/2.00 | ((inverse @ sk_c3) = (sk_c8)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl116])).
% 8.90/2.00 thf(prove_this_14, conjecture,
% 8.90/2.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 8.90/2.00 thf(zf_stmt_8, negated_conjecture,
% 8.90/2.00 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 8.90/2.00 thf(zip_derived_cl16, plain,
% 8.90/2.00 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_8])).
% 8.90/2.00 thf(zip_derived_cl332, plain,
% 8.90/2.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 8.90/2.00 = (sk_c6))
% 8.90/2.00 | ((inverse @ sk_c3) = (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c3) = (sk_c8)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl16])).
% 8.90/2.00 thf(zip_derived_cl2, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 8.90/2.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 8.90/2.00 inference('cnf', [status(esa)], [associativity])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl350, plain,
% 8.90/2.00 ((((identity) = (sk_c6))
% 8.90/2.00 | ((inverse @ sk_c3) = (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c3) = (sk_c8)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl332, zip_derived_cl2, zip_derived_cl0,
% 8.90/2.00 zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl351, plain,
% 8.90/2.00 ((((inverse @ sk_c3) = (sk_c8)) | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl350])).
% 8.90/2.00 thf(prove_this_26, conjecture,
% 8.90/2.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_9, negated_conjecture,
% 8.90/2.00 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 8.90/2.00 thf(zip_derived_cl28, plain,
% 8.90/2.00 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_9])).
% 8.90/2.00 thf(zip_derived_cl361, plain,
% 8.90/2.00 ((((multiply @ identity @ sk_c8) = (sk_c7))
% 8.90/2.00 | ((inverse @ sk_c3) = (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c3) = (sk_c8)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl28])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl371, plain,
% 8.90/2.00 ((((sk_c8) = (sk_c7))
% 8.90/2.00 | ((inverse @ sk_c3) = (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c3) = (sk_c8)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl361, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl372, plain,
% 8.90/2.00 ((((inverse @ sk_c3) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl371])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl433, plain,
% 8.90/2.00 ((((multiply @ sk_c8 @ sk_c3) = (identity)) | ((sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl547, plain,
% 8.90/2.00 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 8.90/2.00 | ((sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl433, zip_derived_cl116])).
% 8.90/2.00 thf(prove_this_22, conjecture,
% 8.90/2.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_10, negated_conjecture,
% 8.90/2.00 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 8.90/2.00 thf(zip_derived_cl24, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_10])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl44, plain,
% 8.90/2.00 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl145, plain,
% 8.90/2.00 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl116])).
% 8.90/2.00 thf(prove_this_16, conjecture,
% 8.90/2.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 8.90/2.00 thf(zf_stmt_11, negated_conjecture,
% 8.90/2.00 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 8.90/2.00 thf(zip_derived_cl18, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_11])).
% 8.90/2.00 thf(zip_derived_cl1175, plain,
% 8.90/2.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 8.90/2.00 = (sk_c6))
% 8.90/2.00 | ((inverse @ sk_c4) = (sk_c7))
% 8.90/2.00 | ((inverse @ sk_c4) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl18])).
% 8.90/2.00 thf(zip_derived_cl2, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 8.90/2.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 8.90/2.00 inference('cnf', [status(esa)], [associativity])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl1193, plain,
% 8.90/2.00 ((((identity) = (sk_c6))
% 8.90/2.00 | ((inverse @ sk_c4) = (sk_c7))
% 8.90/2.00 | ((inverse @ sk_c4) = (sk_c7)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl1175, zip_derived_cl2, zip_derived_cl0,
% 8.90/2.00 zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl1194, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (sk_c7)) | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl1193])).
% 8.90/2.00 thf(prove_this_28, conjecture,
% 8.90/2.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_12, negated_conjecture,
% 8.90/2.00 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 8.90/2.00 thf(zip_derived_cl30, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_12])).
% 8.90/2.00 thf(zip_derived_cl1204, plain,
% 8.90/2.00 ((((multiply @ identity @ sk_c8) = (sk_c7))
% 8.90/2.00 | ((inverse @ sk_c4) = (sk_c7))
% 8.90/2.00 | ((inverse @ sk_c4) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl1194, zip_derived_cl30])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl1220, plain,
% 8.90/2.00 ((((sk_c8) = (sk_c7))
% 8.90/2.00 | ((inverse @ sk_c4) = (sk_c7))
% 8.90/2.00 | ((inverse @ sk_c4) = (sk_c7)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl1204, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl1221, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl1220])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl1224, plain,
% 8.90/2.00 ((((multiply @ sk_c7 @ sk_c4) = (identity)) | ((sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl1221, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl1273, plain,
% 8.90/2.00 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 8.90/2.00 | ((sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl1224, zip_derived_cl116])).
% 8.90/2.00 thf(prove_this_21, conjecture,
% 8.90/2.00 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_13, negated_conjecture,
% 8.90/2.00 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 8.90/2.00 thf(zip_derived_cl23, plain,
% 8.90/2.00 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_13])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl43, plain,
% 8.90/2.00 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 8.90/2.00 | ((multiply @ sk_c4 @ sk_c7) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl144, plain,
% 8.90/2.00 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 8.90/2.00 | ((multiply @ sk_c4 @ sk_c7) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl116])).
% 8.90/2.00 thf(prove_this_15, conjecture,
% 8.90/2.00 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 8.90/2.00 thf(zf_stmt_14, negated_conjecture,
% 8.90/2.00 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 8.90/2.00 thf(zip_derived_cl17, plain,
% 8.90/2.00 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_14])).
% 8.90/2.00 thf(zip_derived_cl978, plain,
% 8.90/2.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 8.90/2.00 = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c4 @ sk_c7) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl17])).
% 8.90/2.00 thf(zip_derived_cl2, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 8.90/2.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 8.90/2.00 inference('cnf', [status(esa)], [associativity])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl996, plain,
% 8.90/2.00 ((((identity) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c4 @ sk_c7) = (sk_c6)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl978, zip_derived_cl2, zip_derived_cl0,
% 8.90/2.00 zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl997, plain,
% 8.90/2.00 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl996])).
% 8.90/2.00 thf(zip_derived_cl1020, plain,
% 8.90/2.00 ((((multiply @ sk_c4 @ sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('eq_fact', [status(thm)], [zip_derived_cl997])).
% 8.90/2.00 thf(zip_derived_cl1315, plain,
% 8.90/2.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 8.90/2.00 != (identity))
% 8.90/2.00 | ((sk_c8) = (sk_c7))
% 8.90/2.00 | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('sup-', [status(thm)], [zip_derived_cl1273, zip_derived_cl1020])).
% 8.90/2.00 thf(zip_derived_cl2, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 8.90/2.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 8.90/2.00 inference('cnf', [status(esa)], [associativity])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl1327, plain,
% 8.90/2.00 ((((identity) != (identity))
% 8.90/2.00 | ((sk_c8) = (sk_c7))
% 8.90/2.00 | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl1315, zip_derived_cl2, zip_derived_cl0,
% 8.90/2.00 zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl1328, plain,
% 8.90/2.00 ((((identity) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl1327])).
% 8.90/2.00 thf(prove_this_25, conjecture,
% 8.90/2.00 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_15, negated_conjecture,
% 8.90/2.00 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c7 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 8.90/2.00 thf(zip_derived_cl27, plain,
% 8.90/2.00 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7))
% 8.90/2.00 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_15])).
% 8.90/2.00 thf(zip_derived_cl1340, plain,
% 8.90/2.00 ((((multiply @ identity @ sk_c8) = (sk_c7))
% 8.90/2.00 | ((sk_c8) = (sk_c7))
% 8.90/2.00 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl1328, zip_derived_cl27])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl1356, plain,
% 8.90/2.00 ((((sk_c8) = (sk_c7))
% 8.90/2.00 | ((sk_c8) = (sk_c7))
% 8.90/2.00 | ((multiply @ sk_c3 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl1340, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl1357, plain,
% 8.90/2.00 ((((multiply @ sk_c3 @ sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl1356])).
% 8.90/2.00 thf(zip_derived_cl1426, plain,
% 8.90/2.00 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 8.90/2.00 = (sk_c7))
% 8.90/2.00 | ((sk_c8) = (sk_c7))
% 8.90/2.00 | ((sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl547, zip_derived_cl1357])).
% 8.90/2.00 thf(zip_derived_cl2, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 8.90/2.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 8.90/2.00 inference('cnf', [status(esa)], [associativity])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl1430, plain,
% 8.90/2.00 ((((identity) = (sk_c7)) | ((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl1426, zip_derived_cl2, zip_derived_cl0,
% 8.90/2.00 zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl1431, plain,
% 8.90/2.00 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl1430])).
% 8.90/2.00 thf(zip_derived_cl1463, plain,
% 8.90/2.00 ((((sk_c8) != (identity)) | ((identity) = (sk_c7)))),
% 8.90/2.00 inference('eq_fact', [status(thm)], [zip_derived_cl1431])).
% 8.90/2.00 thf(zip_derived_cl2133, plain,
% 8.90/2.00 ((((identity) = (sk_c7))
% 8.90/2.00 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) != (identity)))),
% 8.90/2.00 inference('clc', [status(thm)], [zip_derived_cl2118, zip_derived_cl1463])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl137, plain,
% 8.90/2.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl116])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl132, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl116])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl137, plain,
% 8.90/2.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl116])).
% 8.90/2.00 thf(zip_derived_cl2778, plain,
% 8.90/2.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl2725, zip_derived_cl137])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl2790, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl2778, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl3756, plain,
% 8.90/2.00 ((((identity) = (sk_c7)) | ((identity) != (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl2133, zip_derived_cl2790])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3813, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.90/2.00 (((multiply @ X0 @ sk_c8) != (sk_c6))
% 8.90/2.00 | ((inverse @ X0) != (sk_c6))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (sk_c6))
% 8.90/2.00 | ((inverse @ X2) != (sk_c8))
% 8.90/2.00 | ((multiply @ X2 @ sk_c8) != (identity))
% 8.90/2.00 | ((multiply @ sk_c6 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X3) != (identity))
% 8.90/2.00 | ((X3) != (sk_c6))
% 8.90/2.00 | ((inverse @ X4) != (sk_c8))
% 8.90/2.00 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl33, zip_derived_cl3757, zip_derived_cl3757,
% 8.90/2.00 zip_derived_cl2725, zip_derived_cl3757, zip_derived_cl3757,
% 8.90/2.00 zip_derived_cl3757, zip_derived_cl3757, zip_derived_cl2725,
% 8.90/2.00 zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl997, plain,
% 8.90/2.00 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl996])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl3840, plain,
% 8.90/2.00 ((((sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl997, zip_derived_cl3757, zip_derived_cl2725])).
% 8.90/2.00 thf(prove_this_23, conjecture,
% 8.90/2.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_16, negated_conjecture,
% 8.90/2.00 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 8.90/2.00 thf(zip_derived_cl25, plain,
% 8.90/2.00 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_16])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl45, plain,
% 8.90/2.00 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 8.90/2.00 | ((inverse @ sk_c5) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl146, plain,
% 8.90/2.00 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 8.90/2.00 | ((inverse @ sk_c5) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl116])).
% 8.90/2.00 thf(prove_this_17, conjecture,
% 8.90/2.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 8.90/2.00 thf(zf_stmt_17, negated_conjecture,
% 8.90/2.00 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 8.90/2.00 thf(zip_derived_cl19, plain,
% 8.90/2.00 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_17])).
% 8.90/2.00 thf(zip_derived_cl381, plain,
% 8.90/2.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 8.90/2.00 = (sk_c6))
% 8.90/2.00 | ((inverse @ sk_c5) = (sk_c6))
% 8.90/2.00 | ((inverse @ sk_c5) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl146, zip_derived_cl19])).
% 8.90/2.00 thf(zip_derived_cl2, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 8.90/2.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 8.90/2.00 inference('cnf', [status(esa)], [associativity])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl399, plain,
% 8.90/2.00 ((((identity) = (sk_c6))
% 8.90/2.00 | ((inverse @ sk_c5) = (sk_c6))
% 8.90/2.00 | ((inverse @ sk_c5) = (sk_c6)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl381, zip_derived_cl2, zip_derived_cl0,
% 8.90/2.00 zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl400, plain,
% 8.90/2.00 ((((inverse @ sk_c5) = (sk_c6)) | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl399])).
% 8.90/2.00 thf(prove_this_24, conjecture,
% 8.90/2.00 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_18, negated_conjecture,
% 8.90/2.00 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 8.90/2.00 thf(zip_derived_cl26, plain,
% 8.90/2.00 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_18])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl46, plain,
% 8.90/2.00 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 8.90/2.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl147, plain,
% 8.90/2.00 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 8.90/2.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl116])).
% 8.90/2.00 thf(prove_this_18, conjecture,
% 8.90/2.00 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 8.90/2.00 thf(zf_stmt_19, negated_conjecture,
% 8.90/2.00 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 8.90/2.00 thf(zip_derived_cl20, plain,
% 8.90/2.00 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_19])).
% 8.90/2.00 thf(zip_derived_cl1475, plain,
% 8.90/2.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 8.90/2.00 = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl20])).
% 8.90/2.00 thf(zip_derived_cl2, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 8.90/2.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 8.90/2.00 inference('cnf', [status(esa)], [associativity])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl1493, plain,
% 8.90/2.00 ((((identity) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl1475, zip_derived_cl2, zip_derived_cl0,
% 8.90/2.00 zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl1494, plain,
% 8.90/2.00 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl1493])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl1600, plain,
% 8.90/2.00 ((((sk_c8) = (multiply @ (inverse @ sk_c5) @ sk_c6))
% 8.90/2.00 | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl1494, zip_derived_cl116])).
% 8.90/2.00 thf(zip_derived_cl2194, plain,
% 8.90/2.00 ((((sk_c8) = (multiply @ sk_c6 @ sk_c6))
% 8.90/2.00 | ((identity) = (sk_c6))
% 8.90/2.00 | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl400, zip_derived_cl1600])).
% 8.90/2.00 thf(zip_derived_cl2204, plain,
% 8.90/2.00 ((((identity) = (sk_c6)) | ((sk_c8) = (multiply @ sk_c6 @ sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl2194])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl2310, plain,
% 8.90/2.00 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ sk_c8))
% 8.90/2.00 | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl2204, zip_derived_cl116])).
% 8.90/2.00 thf(zip_derived_cl3891, plain,
% 8.90/2.00 ((((sk_c6) = (multiply @ (inverse @ sk_c4) @ sk_c8))
% 8.90/2.00 | ((identity) = (sk_c6))
% 8.90/2.00 | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl3840, zip_derived_cl2310])).
% 8.90/2.00 thf(zip_derived_cl3898, plain,
% 8.90/2.00 ((((identity) = (sk_c6))
% 8.90/2.00 | ((sk_c6) = (multiply @ (inverse @ sk_c4) @ sk_c8)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3891])).
% 8.90/2.00 thf(zip_derived_cl4701, plain,
% 8.90/2.00 ((((multiply @ (inverse @ sk_c4) @ sk_c8) != (identity))
% 8.90/2.00 | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('eq_fact', [status(thm)], [zip_derived_cl3898])).
% 8.90/2.00 thf(zip_derived_cl1194, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (sk_c7)) | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl1193])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3844, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (identity)) | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl1194, zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl18, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_11])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl3798, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (identity)) | ((sk_c2) = (sk_c6)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl18, zip_derived_cl3757, zip_derived_cl3757,
% 8.90/2.00 zip_derived_cl2725])).
% 8.90/2.00 thf(zip_derived_cl24, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_10])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3804, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (identity)) | ((inverse @ sk_c2) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl24, zip_derived_cl3757, zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl4534, plain,
% 8.90/2.00 ((((inverse @ sk_c6) = (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl3798, zip_derived_cl3804])).
% 8.90/2.00 thf(zip_derived_cl4543, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (identity)) | ((inverse @ sk_c6) = (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl4534])).
% 8.90/2.00 thf(zip_derived_cl2778, plain,
% 8.90/2.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl2725, zip_derived_cl137])).
% 8.90/2.00 thf(zip_derived_cl30, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_12])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3810, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((multiply @ sk_c6 @ sk_c8) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl30, zip_derived_cl3757, zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl3798, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (identity)) | ((sk_c2) = (sk_c6)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl18, zip_derived_cl3757, zip_derived_cl3757,
% 8.90/2.00 zip_derived_cl2725])).
% 8.90/2.00 thf(zip_derived_cl3844, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (identity)) | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl1194, zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl23, plain,
% 8.90/2.00 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_13])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3803, plain,
% 8.90/2.00 ((((sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl23, zip_derived_cl3757, zip_derived_cl2725,
% 8.90/2.00 zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl17, plain,
% 8.90/2.00 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_14])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl3797, plain, ((((sk_c4) = (sk_c6)) | ((sk_c2) = (sk_c6)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl17, zip_derived_cl3757, zip_derived_cl2725,
% 8.90/2.00 zip_derived_cl3757, zip_derived_cl2725])).
% 8.90/2.00 thf(zip_derived_cl3803, plain,
% 8.90/2.00 ((((sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl23, zip_derived_cl3757, zip_derived_cl2725,
% 8.90/2.00 zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl3949, plain,
% 8.90/2.00 ((((inverse @ sk_c6) = (identity))
% 8.90/2.00 | ((sk_c4) = (sk_c6))
% 8.90/2.00 | ((sk_c4) = (sk_c6)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl3797, zip_derived_cl3803])).
% 8.90/2.00 thf(zip_derived_cl3952, plain,
% 8.90/2.00 ((((sk_c4) = (sk_c6)) | ((inverse @ sk_c6) = (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3949])).
% 8.90/2.00 thf(zip_derived_cl3952, plain,
% 8.90/2.00 ((((sk_c4) = (sk_c6)) | ((inverse @ sk_c6) = (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3949])).
% 8.90/2.00 thf(prove_this_27, conjecture,
% 8.90/2.00 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_20, negated_conjecture,
% 8.90/2.00 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 8.90/2.00 thf(zip_derived_cl29, plain,
% 8.90/2.00 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_20])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3809, plain,
% 8.90/2.00 ((((sk_c4) = (sk_c6)) | ((multiply @ sk_c6 @ sk_c8) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl29, zip_derived_cl3757, zip_derived_cl2725,
% 8.90/2.00 zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl3813, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.90/2.00 (((multiply @ X0 @ sk_c8) != (sk_c6))
% 8.90/2.00 | ((inverse @ X0) != (sk_c6))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (sk_c6))
% 8.90/2.00 | ((inverse @ X2) != (sk_c8))
% 8.90/2.00 | ((multiply @ X2 @ sk_c8) != (identity))
% 8.90/2.00 | ((multiply @ sk_c6 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X3) != (identity))
% 8.90/2.00 | ((X3) != (sk_c6))
% 8.90/2.00 | ((inverse @ X4) != (sk_c8))
% 8.90/2.00 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl33, zip_derived_cl3757, zip_derived_cl3757,
% 8.90/2.00 zip_derived_cl2725, zip_derived_cl3757, zip_derived_cl3757,
% 8.90/2.00 zip_derived_cl3757, zip_derived_cl3757, zip_derived_cl2725,
% 8.90/2.00 zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl4584, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.90/2.00 (((identity) != (identity))
% 8.90/2.00 | ((sk_c4) = (sk_c6))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((X1) != (sk_c6))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((multiply @ X2 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (sk_c8))
% 8.90/2.00 | ((X3) != (sk_c6))
% 8.90/2.00 | ((inverse @ X3) != (identity))
% 8.90/2.00 | ((inverse @ X4) != (sk_c6))
% 8.90/2.00 | ((multiply @ X4 @ sk_c8) != (sk_c6)))),
% 8.90/2.00 inference('sup-', [status(thm)], [zip_derived_cl3809, zip_derived_cl3813])).
% 8.90/2.00 thf(zip_derived_cl4612, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.90/2.00 (((multiply @ X4 @ sk_c8) != (sk_c6))
% 8.90/2.00 | ((inverse @ X4) != (sk_c6))
% 8.90/2.00 | ((inverse @ X3) != (identity))
% 8.90/2.00 | ((X3) != (sk_c6))
% 8.90/2.00 | ((inverse @ X2) != (sk_c8))
% 8.90/2.00 | ((multiply @ X2 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (sk_c6))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((sk_c4) = (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl4584])).
% 8.90/2.00 thf(zip_derived_cl13574, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.90/2.00 (((sk_c4) = (sk_c6))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((X1) != (sk_c6))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((multiply @ X2 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c6) != (identity))
% 8.90/2.00 | ((inverse @ X3) != (sk_c6))
% 8.90/2.00 | ((multiply @ X3 @ sk_c8) != (sk_c6)))),
% 8.90/2.00 inference('eq_res', [status(thm)], [zip_derived_cl4612])).
% 8.90/2.00 thf(zip_derived_cl13577, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.90/2.00 (((identity) != (identity))
% 8.90/2.00 | ((sk_c4) = (sk_c6))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (sk_c6))
% 8.90/2.00 | ((inverse @ X0) != (sk_c6))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (identity))
% 8.90/2.00 | ((X2) != (sk_c6))
% 8.90/2.00 | ((inverse @ X3) != (sk_c8))
% 8.90/2.00 | ((multiply @ X3 @ sk_c8) != (identity))
% 8.90/2.00 | ((sk_c4) = (sk_c6)))),
% 8.90/2.00 inference('sup-', [status(thm)],
% 8.90/2.00 [zip_derived_cl3952, zip_derived_cl13574])).
% 8.90/2.00 thf(zip_derived_cl13616, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.90/2.00 (((multiply @ X3 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X3) != (sk_c8))
% 8.90/2.00 | ((X2) != (sk_c6))
% 8.90/2.00 | ((inverse @ X2) != (identity))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((inverse @ X0) != (sk_c6))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (sk_c6))
% 8.90/2.00 | ((sk_c4) = (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl13577])).
% 8.90/2.00 thf(zip_derived_cl13692, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 (((sk_c4) = (sk_c6))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (sk_c6))
% 8.90/2.00 | ((inverse @ X0) != (sk_c6))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ sk_c6) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (sk_c8))
% 8.90/2.00 | ((multiply @ X2 @ sk_c8) != (identity)))),
% 8.90/2.00 inference('eq_res', [status(thm)], [zip_derived_cl13616])).
% 8.90/2.00 thf(zip_derived_cl13695, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 (((identity) != (identity))
% 8.90/2.00 | ((sk_c4) = (sk_c6))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((inverse @ X2) != (sk_c6))
% 8.90/2.00 | ((multiply @ X2 @ sk_c8) != (sk_c6))
% 8.90/2.00 | ((sk_c4) = (sk_c6)))),
% 8.90/2.00 inference('sup-', [status(thm)],
% 8.90/2.00 [zip_derived_cl3952, zip_derived_cl13692])).
% 8.90/2.00 thf(zip_derived_cl13734, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 (((multiply @ X2 @ sk_c8) != (sk_c6))
% 8.90/2.00 | ((inverse @ X2) != (sk_c6))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((sk_c4) = (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl13695])).
% 8.90/2.00 thf(zip_derived_cl13806, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((identity) != (sk_c6))
% 8.90/2.00 | ((sk_c4) = (sk_c6))
% 8.90/2.00 | ((sk_c4) = (sk_c6))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((multiply @ sk_c2 @ sk_c8) != (sk_c6)))),
% 8.90/2.00 inference('sup-', [status(thm)],
% 8.90/2.00 [zip_derived_cl3803, zip_derived_cl13734])).
% 8.90/2.00 thf(zip_derived_cl13869, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((multiply @ sk_c2 @ sk_c8) != (sk_c6))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((sk_c4) = (sk_c6))
% 8.90/2.00 | ((identity) != (sk_c6)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl13806])).
% 8.90/2.00 thf(zip_derived_cl13870, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((multiply @ sk_c2 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((sk_c4) = (identity))
% 8.90/2.00 | ((identity) != (sk_c6)))),
% 8.90/2.00 inference('local_rewriting', [status(thm)], [zip_derived_cl13869])).
% 8.90/2.00 thf(zip_derived_cl13949, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((identity) != (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((sk_c4) = (identity))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((multiply @ sk_c2 @ sk_c8) != (identity)))),
% 8.90/2.00 inference('sup-', [status(thm)],
% 8.90/2.00 [zip_derived_cl3844, zip_derived_cl13870])).
% 8.90/2.00 thf(zip_derived_cl13979, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((multiply @ sk_c2 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((sk_c4) = (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl13949])).
% 8.90/2.00 thf(zip_derived_cl16534, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((multiply @ sk_c6 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((sk_c4) = (identity))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8)))),
% 8.90/2.00 inference('sup-', [status(thm)],
% 8.90/2.00 [zip_derived_cl3798, zip_derived_cl13979])).
% 8.90/2.00 thf(zip_derived_cl16550, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((sk_c4) = (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((multiply @ sk_c6 @ sk_c8) != (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl16534])).
% 8.90/2.00 thf(zip_derived_cl18483, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((identity) != (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((sk_c4) = (identity))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8)))),
% 8.90/2.00 inference('sup-', [status(thm)],
% 8.90/2.00 [zip_derived_cl3810, zip_derived_cl16550])).
% 8.90/2.00 thf(zip_derived_cl18528, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((sk_c4) = (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl18483])).
% 8.90/2.00 thf(zip_derived_cl18575, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((X0) != (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((sk_c4) = (identity))
% 8.90/2.00 | ((multiply @ X1 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (sk_c8))
% 8.90/2.00 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity)))),
% 8.90/2.00 inference('sup-', [status(thm)],
% 8.90/2.00 [zip_derived_cl2778, zip_derived_cl18528])).
% 8.90/2.00 thf(zip_derived_cl18761, plain,
% 8.90/2.00 (![X0 : $i]:
% 8.90/2.00 (((multiply @ (inverse @ sk_c8) @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((sk_c4) = (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity)))),
% 8.90/2.00 inference('eq_res', [status(thm)], [zip_derived_cl18575])).
% 8.90/2.00 thf(zip_derived_cl1, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_inverse])).
% 8.90/2.00 thf(zip_derived_cl18762, plain,
% 8.90/2.00 (![X0 : $i]:
% 8.90/2.00 (((identity) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((sk_c4) = (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl18761, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl18763, plain,
% 8.90/2.00 (![X0 : $i]:
% 8.90/2.00 (((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((sk_c4) = (identity))
% 8.90/2.00 | ((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (sk_c8)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl18762])).
% 8.90/2.00 thf(zip_derived_cl18859, plain,
% 8.90/2.00 ((((identity) != (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((multiply @ sk_c6 @ sk_c8) != (identity))
% 8.90/2.00 | ((sk_c4) = (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity)))),
% 8.90/2.00 inference('sup-', [status(thm)],
% 8.90/2.00 [zip_derived_cl4543, zip_derived_cl18763])).
% 8.90/2.00 thf(zip_derived_cl18910, plain,
% 8.90/2.00 ((((sk_c4) = (identity))
% 8.90/2.00 | ((multiply @ sk_c6 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((identity) != (sk_c8)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl18859])).
% 8.90/2.00 thf(zip_derived_cl18911, plain,
% 8.90/2.00 ((((sk_c4) = (identity))
% 8.90/2.00 | ((multiply @ sk_c6 @ identity) != (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((identity) != (sk_c8)))),
% 8.90/2.00 inference('local_rewriting', [status(thm)], [zip_derived_cl18910])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl18929, plain,
% 8.90/2.00 ((((sk_c4) = (identity))
% 8.90/2.00 | ((sk_c6) != (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((identity) != (sk_c8)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl18911, zip_derived_cl2725])).
% 8.90/2.00 thf(zip_derived_cl18939, plain,
% 8.90/2.00 ((((identity) != (identity))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((identity) != (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity))
% 8.90/2.00 | ((sk_c4) = (identity)))),
% 8.90/2.00 inference('sup-', [status(thm)],
% 8.90/2.00 [zip_derived_cl3844, zip_derived_cl18929])).
% 8.90/2.00 thf(zip_derived_cl18976, plain,
% 8.90/2.00 ((((sk_c4) = (identity))
% 8.90/2.00 | ((identity) != (sk_c8))
% 8.90/2.00 | ((inverse @ sk_c4) = (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl18939])).
% 8.90/2.00 thf(zip_derived_cl1224, plain,
% 8.90/2.00 ((((multiply @ sk_c7 @ sk_c4) = (identity)) | ((sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl1221, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3846, plain,
% 8.90/2.00 ((((sk_c4) = (identity)) | ((sk_c8) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl1224, zip_derived_cl3757, zip_derived_cl0,
% 8.90/2.00 zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl19011, plain,
% 8.90/2.00 ((((inverse @ sk_c4) = (identity)) | ((sk_c4) = (identity)))),
% 8.90/2.00 inference('clc', [status(thm)], [zip_derived_cl18976, zip_derived_cl3846])).
% 8.90/2.00 thf(zip_derived_cl2778, plain,
% 8.90/2.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl2725, zip_derived_cl137])).
% 8.90/2.00 thf(zip_derived_cl19013, plain,
% 8.90/2.00 ((((sk_c4) = (inverse @ identity)) | ((sk_c4) = (identity)))),
% 8.90/2.00 inference('sup+', [status(thm)],
% 8.90/2.00 [zip_derived_cl19011, zip_derived_cl2778])).
% 8.90/2.00 thf(zip_derived_cl2109, plain, (((inverse @ identity) = (identity))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl19057, plain,
% 8.90/2.00 ((((sk_c4) = (identity)) | ((sk_c4) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl19013, zip_derived_cl2109])).
% 8.90/2.00 thf(zip_derived_cl19058, plain, (((sk_c4) = (identity))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl19057])).
% 8.90/2.00 thf(zip_derived_cl2109, plain, (((inverse @ identity) = (identity))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl19134, plain,
% 8.90/2.00 ((((sk_c8) != (identity)) | ((identity) = (sk_c6)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl4701, zip_derived_cl19058, zip_derived_cl2109,
% 8.90/2.00 zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl1328, plain,
% 8.90/2.00 ((((identity) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl1327])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3848, plain,
% 8.90/2.00 ((((identity) = (sk_c6)) | ((sk_c8) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl1328, zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl19221, plain, (((identity) = (sk_c6))),
% 8.90/2.00 inference('clc', [status(thm)], [zip_derived_cl19134, zip_derived_cl3848])).
% 8.90/2.00 thf(zip_derived_cl19221, plain, (((identity) = (sk_c6))),
% 8.90/2.00 inference('clc', [status(thm)], [zip_derived_cl19134, zip_derived_cl3848])).
% 8.90/2.00 thf(zip_derived_cl19221, plain, (((identity) = (sk_c6))),
% 8.90/2.00 inference('clc', [status(thm)], [zip_derived_cl19134, zip_derived_cl3848])).
% 8.90/2.00 thf(zip_derived_cl19221, plain, (((identity) = (sk_c6))),
% 8.90/2.00 inference('clc', [status(thm)], [zip_derived_cl19134, zip_derived_cl3848])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl19221, plain, (((identity) = (sk_c6))),
% 8.90/2.00 inference('clc', [status(thm)], [zip_derived_cl19134, zip_derived_cl3848])).
% 8.90/2.00 thf(zip_derived_cl19248, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.90/2.00 (((multiply @ X0 @ sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (sk_c8))
% 8.90/2.00 | ((multiply @ X2 @ sk_c8) != (identity))
% 8.90/2.00 | ((sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X3) != (identity))
% 8.90/2.00 | ((X3) != (identity))
% 8.90/2.00 | ((inverse @ X4) != (sk_c8))
% 8.90/2.00 | ((multiply @ X4 @ sk_c8) != (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl3813, zip_derived_cl19221, zip_derived_cl19221,
% 8.90/2.00 zip_derived_cl19221, zip_derived_cl19221, zip_derived_cl0,
% 8.90/2.00 zip_derived_cl19221])).
% 8.90/2.00 thf(zip_derived_cl19249, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.90/2.00 (((multiply @ X0 @ identity) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (identity))
% 8.90/2.00 | ((multiply @ X2 @ identity) != (identity))
% 8.90/2.00 | ((sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X3) != (identity))
% 8.90/2.00 | ((X3) != (identity))
% 8.90/2.00 | ((inverse @ X4) != (identity))
% 8.90/2.00 | ((multiply @ X4 @ identity) != (identity)))),
% 8.90/2.00 inference('local_rewriting', [status(thm)], [zip_derived_cl19248])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl2725, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl132])).
% 8.90/2.00 thf(zip_derived_cl19250, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.90/2.00 (((X0) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (identity))
% 8.90/2.00 | ((X2) != (identity))
% 8.90/2.00 | ((sk_c8) != (identity))
% 8.90/2.00 | ((inverse @ X3) != (identity))
% 8.90/2.00 | ((X3) != (identity))
% 8.90/2.00 | ((inverse @ X4) != (identity))
% 8.90/2.00 | ((X4) != (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl19249, zip_derived_cl2725, zip_derived_cl2725,
% 8.90/2.00 zip_derived_cl2725])).
% 8.90/2.00 thf(prove_this_29, conjecture,
% 8.90/2.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_21, negated_conjecture,
% 8.90/2.00 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 8.90/2.00 thf(zip_derived_cl31, plain,
% 8.90/2.00 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_21])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3811, plain,
% 8.90/2.00 ((((inverse @ sk_c5) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c6 @ sk_c8) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl19221, plain, (((identity) = (sk_c6))),
% 8.90/2.00 inference('clc', [status(thm)], [zip_derived_cl19134, zip_derived_cl3848])).
% 8.90/2.00 thf(zip_derived_cl19221, plain, (((identity) = (sk_c6))),
% 8.90/2.00 inference('clc', [status(thm)], [zip_derived_cl19134, zip_derived_cl3848])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl19246, plain,
% 8.90/2.00 ((((inverse @ sk_c5) = (identity)) | ((sk_c8) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl3811, zip_derived_cl19221, zip_derived_cl19221,
% 8.90/2.00 zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl2778, plain,
% 8.90/2.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl2725, zip_derived_cl137])).
% 8.90/2.00 thf(zip_derived_cl116, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl2792, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl2778, zip_derived_cl116])).
% 8.90/2.00 thf(zip_derived_cl19424, plain,
% 8.90/2.00 (![X0 : $i]:
% 8.90/2.00 (((X0) = (multiply @ sk_c5 @ (multiply @ identity @ X0)))
% 8.90/2.00 | ((sk_c8) = (identity)))),
% 8.90/2.00 inference('sup+', [status(thm)],
% 8.90/2.00 [zip_derived_cl19246, zip_derived_cl2792])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl19442, plain,
% 8.90/2.00 (![X0 : $i]: (((X0) = (multiply @ sk_c5 @ X0)) | ((sk_c8) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl19424, zip_derived_cl0])).
% 8.90/2.00 thf(prove_this_30, conjecture,
% 8.90/2.00 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 8.90/2.00 thf(zf_stmt_22, negated_conjecture,
% 8.90/2.00 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 8.90/2.00 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) )),
% 8.90/2.00 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 8.90/2.00 thf(zip_derived_cl32, plain,
% 8.90/2.00 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 8.90/2.00 inference('cnf', [status(esa)], [zf_stmt_22])).
% 8.90/2.00 thf(zip_derived_cl3757, plain, (((identity) = (sk_c7))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl3756])).
% 8.90/2.00 thf(zip_derived_cl3812, plain,
% 8.90/2.00 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 8.90/2.00 | ((multiply @ sk_c6 @ sk_c8) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl3757])).
% 8.90/2.00 thf(zip_derived_cl19221, plain, (((identity) = (sk_c6))),
% 8.90/2.00 inference('clc', [status(thm)], [zip_derived_cl19134, zip_derived_cl3848])).
% 8.90/2.00 thf(zip_derived_cl19221, plain, (((identity) = (sk_c6))),
% 8.90/2.00 inference('clc', [status(thm)], [zip_derived_cl19134, zip_derived_cl3848])).
% 8.90/2.00 thf(zip_derived_cl0, plain,
% 8.90/2.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 8.90/2.00 inference('cnf', [status(esa)], [left_identity])).
% 8.90/2.00 thf(zip_derived_cl19247, plain,
% 8.90/2.00 ((((multiply @ sk_c5 @ sk_c8) = (identity)) | ((sk_c8) = (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl3812, zip_derived_cl19221, zip_derived_cl19221,
% 8.90/2.00 zip_derived_cl0])).
% 8.90/2.00 thf(zip_derived_cl19619, plain,
% 8.90/2.00 ((((sk_c8) = (identity))
% 8.90/2.00 | ((sk_c8) = (identity))
% 8.90/2.00 | ((sk_c8) = (identity)))),
% 8.90/2.00 inference('sup+', [status(thm)],
% 8.90/2.00 [zip_derived_cl19442, zip_derived_cl19247])).
% 8.90/2.00 thf(zip_derived_cl19627, plain, (((sk_c8) = (identity))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl19619])).
% 8.90/2.00 thf(zip_derived_cl19687, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.90/2.00 (((X0) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (identity))
% 8.90/2.00 | ((X2) != (identity))
% 8.90/2.00 | ((identity) != (identity))
% 8.90/2.00 | ((inverse @ X3) != (identity))
% 8.90/2.00 | ((X3) != (identity))
% 8.90/2.00 | ((inverse @ X4) != (identity))
% 8.90/2.00 | ((X4) != (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl19250, zip_derived_cl19627])).
% 8.90/2.00 thf(zip_derived_cl19688, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.90/2.00 (((X4) != (identity))
% 8.90/2.00 | ((inverse @ X4) != (identity))
% 8.90/2.00 | ((X3) != (identity))
% 8.90/2.00 | ((inverse @ X3) != (identity))
% 8.90/2.00 | ((X2) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((X0) != (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl19687])).
% 8.90/2.00 thf(zip_derived_cl19697, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.90/2.00 (((X0) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (identity))
% 8.90/2.00 | ((X2) != (identity))
% 8.90/2.00 | ((inverse @ X3) != (identity))
% 8.90/2.00 | ((X3) != (identity))
% 8.90/2.00 | ((inverse @ identity) != (identity)))),
% 8.90/2.00 inference('eq_res', [status(thm)], [zip_derived_cl19688])).
% 8.90/2.00 thf(zip_derived_cl2109, plain, (((inverse @ identity) = (identity))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl19698, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.90/2.00 (((X0) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (identity))
% 8.90/2.00 | ((X2) != (identity))
% 8.90/2.00 | ((inverse @ X3) != (identity))
% 8.90/2.00 | ((X3) != (identity))
% 8.90/2.00 | ((identity) != (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl19697, zip_derived_cl2109])).
% 8.90/2.00 thf(zip_derived_cl19699, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.90/2.00 (((X3) != (identity))
% 8.90/2.00 | ((inverse @ X3) != (identity))
% 8.90/2.00 | ((X2) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((X0) != (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl19698])).
% 8.90/2.00 thf(zip_derived_cl19700, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 (((X0) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (identity))
% 8.90/2.00 | ((X2) != (identity))
% 8.90/2.00 | ((inverse @ identity) != (identity)))),
% 8.90/2.00 inference('eq_res', [status(thm)], [zip_derived_cl19699])).
% 8.90/2.00 thf(zip_derived_cl2109, plain, (((inverse @ identity) = (identity))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl19701, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 (((X0) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (identity))
% 8.90/2.00 | ((X2) != (identity))
% 8.90/2.00 | ((identity) != (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl19700, zip_derived_cl2109])).
% 8.90/2.00 thf(zip_derived_cl19702, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.90/2.00 (((X2) != (identity))
% 8.90/2.00 | ((inverse @ X2) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((X0) != (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl19701])).
% 8.90/2.00 thf(zip_derived_cl19703, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((X0) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((inverse @ identity) != (identity)))),
% 8.90/2.00 inference('eq_res', [status(thm)], [zip_derived_cl19702])).
% 8.90/2.00 thf(zip_derived_cl2109, plain, (((inverse @ identity) = (identity))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl19704, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((X0) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((X1) != (identity))
% 8.90/2.00 | ((identity) != (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl19703, zip_derived_cl2109])).
% 8.90/2.00 thf(zip_derived_cl19705, plain,
% 8.90/2.00 (![X0 : $i, X1 : $i]:
% 8.90/2.00 (((X1) != (identity))
% 8.90/2.00 | ((inverse @ X1) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((X0) != (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl19704])).
% 8.90/2.00 thf(zip_derived_cl19706, plain,
% 8.90/2.00 (![X0 : $i]:
% 8.90/2.00 (((X0) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((inverse @ identity) != (identity)))),
% 8.90/2.00 inference('eq_res', [status(thm)], [zip_derived_cl19705])).
% 8.90/2.00 thf(zip_derived_cl2109, plain, (((inverse @ identity) = (identity))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl19707, plain,
% 8.90/2.00 (![X0 : $i]:
% 8.90/2.00 (((X0) != (identity))
% 8.90/2.00 | ((inverse @ X0) != (identity))
% 8.90/2.00 | ((identity) != (identity)))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl19706, zip_derived_cl2109])).
% 8.90/2.00 thf(zip_derived_cl19708, plain,
% 8.90/2.00 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl19707])).
% 8.90/2.00 thf(zip_derived_cl19709, plain, (((inverse @ identity) != (identity))),
% 8.90/2.00 inference('eq_res', [status(thm)], [zip_derived_cl19708])).
% 8.90/2.00 thf(zip_derived_cl2109, plain, (((inverse @ identity) = (identity))),
% 8.90/2.00 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 8.90/2.00 thf(zip_derived_cl19710, plain, (((identity) != (identity))),
% 8.90/2.00 inference('demod', [status(thm)],
% 8.90/2.00 [zip_derived_cl19709, zip_derived_cl2109])).
% 8.90/2.00 thf(zip_derived_cl19711, plain, ($false),
% 8.90/2.00 inference('simplify', [status(thm)], [zip_derived_cl19710])).
% 8.90/2.00
% 8.90/2.00 % SZS output end Refutation
% 8.90/2.00
% 8.90/2.00
% 8.90/2.00 % Terminating...
% 10.34/2.15 % Runner terminated.
% 10.36/2.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------