TSTP Solution File: GRP246-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP246-1 : 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.VnaXYRxXcH true
% Computer : n021.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 01:50:53 EDT 2023
% Result : Unsatisfiable 28.51s 4.63s
% Output : Refutation 28.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP246-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VnaXYRxXcH true
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 28 20:02:13 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.69/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.69/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.69/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.69/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.69/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.69/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.69/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 28.51/4.63 % Solved by fo/fo7.sh.
% 28.51/4.63 % done 6288 iterations in 3.870s
% 28.51/4.63 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 28.51/4.63 % SZS output start Refutation
% 28.51/4.63 thf(sk_c6_type, type, sk_c6: $i).
% 28.51/4.63 thf(sk_c10_type, type, sk_c10: $i).
% 28.51/4.63 thf(sk_c8_type, type, sk_c8: $i).
% 28.51/4.63 thf(sk_c9_type, type, sk_c9: $i).
% 28.51/4.63 thf(sk_c5_type, type, sk_c5: $i).
% 28.51/4.63 thf(identity_type, type, identity: $i).
% 28.51/4.63 thf(multiply_type, type, multiply: $i > $i > $i).
% 28.51/4.63 thf(sk_c11_type, type, sk_c11: $i).
% 28.51/4.63 thf(sk_c3_type, type, sk_c3: $i).
% 28.51/4.63 thf(inverse_type, type, inverse: $i > $i).
% 28.51/4.63 thf(sk_c4_type, type, sk_c4: $i).
% 28.51/4.63 thf(sk_c2_type, type, sk_c2: $i).
% 28.51/4.63 thf(sk_c7_type, type, sk_c7: $i).
% 28.51/4.63 thf(sk_c1_type, type, sk_c1: $i).
% 28.51/4.63 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 28.51/4.63 thf(zip_derived_cl1, plain,
% 28.51/4.63 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.63 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.63 thf(zip_derived_cl1, plain,
% 28.51/4.63 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.63 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(associativity, axiom,
% 28.51/4.64 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 28.51/4.64 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 28.51/4.64 thf(zip_derived_cl2, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 28.51/4.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 28.51/4.64 inference('cnf', [status(esa)], [associativity])).
% 28.51/4.64 thf(zip_derived_cl197, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((multiply @ identity @ X0)
% 28.51/4.64 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 28.51/4.64 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl267, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl244])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl264, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl244])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(prove_this_31, conjecture,
% 28.51/4.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 28.51/4.64 thf(zf_stmt_0, negated_conjecture,
% 28.51/4.64 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 28.51/4.64 thf(zip_derived_cl33, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (sk_c10)) | ((inverse @ sk_c2) = (sk_c10)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_0])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl91, plain,
% 28.51/4.64 ((((multiply @ sk_c10 @ sk_c2) = (identity))
% 28.51/4.64 | ((inverse @ sk_c5) = (sk_c10)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl283, plain,
% 28.51/4.64 ((((sk_c2) = (multiply @ (inverse @ sk_c10) @ identity))
% 28.51/4.64 | ((inverse @ sk_c5) = (sk_c10)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl244])).
% 28.51/4.64 thf(prove_this_22, conjecture,
% 28.51/4.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 28.51/4.64 thf(zf_stmt_1, negated_conjecture,
% 28.51/4.64 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 28.51/4.64 thf(zip_derived_cl24, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (sk_c10))
% 28.51/4.64 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_1])).
% 28.51/4.64 thf(zip_derived_cl767, plain,
% 28.51/4.64 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 28.51/4.64 = (sk_c9))
% 28.51/4.64 | ((inverse @ sk_c5) = (sk_c10))
% 28.51/4.64 | ((inverse @ sk_c5) = (sk_c10)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl24])).
% 28.51/4.64 thf(zip_derived_cl2, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 28.51/4.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 28.51/4.64 inference('cnf', [status(esa)], [associativity])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl791, plain,
% 28.51/4.64 ((((identity) = (sk_c9))
% 28.51/4.64 | ((inverse @ sk_c5) = (sk_c10))
% 28.51/4.64 | ((inverse @ sk_c5) = (sk_c10)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl767, zip_derived_cl2, zip_derived_cl0,
% 28.51/4.64 zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl792, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (sk_c10)) | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl791])).
% 28.51/4.64 thf(prove_this_49, conjecture,
% 28.51/4.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_2, negated_conjecture,
% 28.51/4.64 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_49])).
% 28.51/4.64 thf(zip_derived_cl51, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (sk_c10))
% 28.51/4.64 | ((multiply @ sk_c3 @ sk_c9) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_2])).
% 28.51/4.64 thf(zip_derived_cl807, plain,
% 28.51/4.64 ((((multiply @ sk_c3 @ identity) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c5) = (sk_c10))
% 28.51/4.64 | ((inverse @ sk_c5) = (sk_c10)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl792, zip_derived_cl51])).
% 28.51/4.64 thf(zip_derived_cl814, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (sk_c10))
% 28.51/4.64 | ((multiply @ sk_c3 @ identity) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl807])).
% 28.51/4.64 thf(zip_derived_cl1361, plain,
% 28.51/4.64 ((((sk_c3) = (sk_c11)) | ((inverse @ sk_c5) = (sk_c10)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl814])).
% 28.51/4.64 thf(prove_this_40, conjecture,
% 28.51/4.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_3, negated_conjecture,
% 28.51/4.64 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c3 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_40])).
% 28.51/4.64 thf(zip_derived_cl42, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (sk_c10)) | ((inverse @ sk_c3) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_3])).
% 28.51/4.64 thf(zip_derived_cl1433, plain,
% 28.51/4.64 ((((inverse @ sk_c11) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c5) = (sk_c10))
% 28.51/4.64 | ((inverse @ sk_c5) = (sk_c10)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1361, zip_derived_cl42])).
% 28.51/4.64 thf(zip_derived_cl1457, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (sk_c10)) | ((inverse @ sk_c11) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl1433])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl267, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl244])).
% 28.51/4.64 thf(zip_derived_cl1355, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl267])).
% 28.51/4.64 thf(zip_derived_cl2055, plain,
% 28.51/4.64 ((((sk_c5) = (inverse @ sk_c10)) | ((inverse @ sk_c11) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1457, zip_derived_cl1355])).
% 28.51/4.64 thf(prove_this_30, conjecture,
% 28.51/4.64 (~( ( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 28.51/4.64 thf(zf_stmt_4, negated_conjecture,
% 28.51/4.64 (( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 28.51/4.64 thf(zip_derived_cl32, plain,
% 28.51/4.64 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9))
% 28.51/4.64 | ((inverse @ sk_c2) = (sk_c10)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_4])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl124, plain,
% 28.51/4.64 ((((multiply @ sk_c10 @ sk_c2) = (identity))
% 28.51/4.64 | ((multiply @ sk_c5 @ sk_c10) = (sk_c9)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl285, plain,
% 28.51/4.64 ((((sk_c2) = (multiply @ (inverse @ sk_c10) @ identity))
% 28.51/4.64 | ((multiply @ sk_c5 @ sk_c10) = (sk_c9)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl244])).
% 28.51/4.64 thf(prove_this_21, conjecture,
% 28.51/4.64 (~( ( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 28.51/4.64 thf(zf_stmt_5, negated_conjecture,
% 28.51/4.64 (( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 28.51/4.64 thf(zip_derived_cl23, plain,
% 28.51/4.64 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9))
% 28.51/4.64 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_5])).
% 28.51/4.64 thf(zip_derived_cl911, plain,
% 28.51/4.64 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 28.51/4.64 = (sk_c9))
% 28.51/4.64 | ((multiply @ sk_c5 @ sk_c10) = (sk_c9))
% 28.51/4.64 | ((multiply @ sk_c5 @ sk_c10) = (sk_c9)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl285, zip_derived_cl23])).
% 28.51/4.64 thf(zip_derived_cl2, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 28.51/4.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 28.51/4.64 inference('cnf', [status(esa)], [associativity])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl935, plain,
% 28.51/4.64 ((((identity) = (sk_c9))
% 28.51/4.64 | ((multiply @ sk_c5 @ sk_c10) = (sk_c9))
% 28.51/4.64 | ((multiply @ sk_c5 @ sk_c10) = (sk_c9)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl911, zip_derived_cl2, zip_derived_cl0,
% 28.51/4.64 zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl936, plain,
% 28.51/4.64 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9)) | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl935])).
% 28.51/4.64 thf(zip_derived_cl959, plain,
% 28.51/4.64 ((((multiply @ sk_c5 @ sk_c10) != (identity)) | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('eq_fact', [status(thm)], [zip_derived_cl936])).
% 28.51/4.64 thf(zip_derived_cl2300, plain,
% 28.51/4.64 ((((multiply @ (inverse @ sk_c10) @ sk_c10) != (identity))
% 28.51/4.64 | ((inverse @ sk_c11) = (sk_c11))
% 28.51/4.64 | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('sup-', [status(thm)], [zip_derived_cl2055, zip_derived_cl959])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl2305, plain,
% 28.51/4.64 ((((identity) != (identity))
% 28.51/4.64 | ((inverse @ sk_c11) = (sk_c11))
% 28.51/4.64 | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl2300, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl2306, plain,
% 28.51/4.64 ((((identity) = (sk_c9)) | ((inverse @ sk_c11) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl2305])).
% 28.51/4.64 thf(prove_this_11, conjecture,
% 28.51/4.64 (~( ( ( inverse @ sk_c4 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_6, negated_conjecture,
% 28.51/4.64 (( ( inverse @ sk_c4 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 28.51/4.64 thf(zip_derived_cl13, plain,
% 28.51/4.64 ((((inverse @ sk_c4) = (sk_c11)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_6])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl59, plain,
% 28.51/4.64 ((((multiply @ sk_c11 @ sk_c4) = (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl270, plain,
% 28.51/4.64 ((((sk_c4) = (multiply @ (inverse @ sk_c11) @ identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl244])).
% 28.51/4.64 thf(prove_this_10, conjecture,
% 28.51/4.64 (~( ( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_7, negated_conjecture,
% 28.51/4.64 (( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 28.51/4.64 thf(zip_derived_cl12, plain,
% 28.51/4.64 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_7])).
% 28.51/4.64 thf(zip_derived_cl344, plain,
% 28.51/4.64 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c11)
% 28.51/4.64 = (sk_c10))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl270, zip_derived_cl12])).
% 28.51/4.64 thf(zip_derived_cl2, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 28.51/4.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 28.51/4.64 inference('cnf', [status(esa)], [associativity])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl349, plain,
% 28.51/4.64 ((((identity) = (sk_c10))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl344, zip_derived_cl2, zip_derived_cl0,
% 28.51/4.64 zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl350, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((identity) = (sk_c10)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl349])).
% 28.51/4.64 thf(prove_this_13, conjecture,
% 28.51/4.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_8, negated_conjecture,
% 28.51/4.64 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 28.51/4.64 thf(zip_derived_cl15, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_8])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl63, plain,
% 28.51/4.64 ((((multiply @ sk_c10 @ sk_c5) = (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl364, plain,
% 28.51/4.64 ((((multiply @ identity @ sk_c5) = (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl350, zip_derived_cl63])).
% 28.51/4.64 thf(zip_derived_cl373, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ identity @ sk_c5) = (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl364])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl471, plain,
% 28.51/4.64 ((((identity) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl63, plain,
% 28.51/4.64 ((((multiply @ sk_c10 @ sk_c5) = (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl478, plain,
% 28.51/4.64 ((((multiply @ sk_c10 @ identity) = (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl471, zip_derived_cl63])).
% 28.51/4.64 thf(zip_derived_cl483, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ sk_c10 @ identity) = (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl478])).
% 28.51/4.64 thf(zip_derived_cl2, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 28.51/4.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 28.51/4.64 inference('cnf', [status(esa)], [associativity])).
% 28.51/4.64 thf(zip_derived_cl867, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((multiply @ identity @ X0)
% 28.51/4.64 = (multiply @ sk_c10 @ (multiply @ identity @ X0)))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl2])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl877, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((X0) = (multiply @ sk_c10 @ X0)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl867, zip_derived_cl0, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl1028, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((X0) = (multiply @ (inverse @ sk_c10) @ X0))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl877, zip_derived_cl244])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl350, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((identity) = (sk_c10)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl349])).
% 28.51/4.64 thf(prove_this_15, conjecture,
% 28.51/4.64 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_9, negated_conjecture,
% 28.51/4.64 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 28.51/4.64 thf(zip_derived_cl17, plain,
% 28.51/4.64 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_9])).
% 28.51/4.64 thf(zip_derived_cl354, plain,
% 28.51/4.64 ((((multiply @ sk_c6 @ identity) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl350, zip_derived_cl17])).
% 28.51/4.64 thf(zip_derived_cl372, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ sk_c6 @ identity) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl354])).
% 28.51/4.64 thf(zip_derived_cl1358, plain,
% 28.51/4.64 ((((sk_c6) = (sk_c11)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl372])).
% 28.51/4.64 thf(prove_this_14, conjecture,
% 28.51/4.64 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_10, negated_conjecture,
% 28.51/4.64 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 28.51/4.64 thf(zip_derived_cl16, plain,
% 28.51/4.64 ((((inverse @ sk_c6) = (sk_c11)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_10])).
% 28.51/4.64 thf(zip_derived_cl1487, plain,
% 28.51/4.64 ((((inverse @ sk_c11) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1358, zip_derived_cl16])).
% 28.51/4.64 thf(zip_derived_cl1495, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((inverse @ sk_c11) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl1487])).
% 28.51/4.64 thf(zip_derived_cl471, plain,
% 28.51/4.64 ((((identity) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl959, plain,
% 28.51/4.64 ((((multiply @ sk_c5 @ sk_c10) != (identity)) | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('eq_fact', [status(thm)], [zip_derived_cl936])).
% 28.51/4.64 thf(zip_derived_cl976, plain,
% 28.51/4.64 ((((multiply @ identity @ sk_c10) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('sup-', [status(thm)], [zip_derived_cl471, zip_derived_cl959])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl981, plain,
% 28.51/4.64 ((((sk_c10) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl976, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl350, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((identity) = (sk_c10)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl349])).
% 28.51/4.64 thf(zip_derived_cl982, plain,
% 28.51/4.64 ((((identity) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl981, zip_derived_cl350])).
% 28.51/4.64 thf(zip_derived_cl1495, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((inverse @ sk_c11) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl1487])).
% 28.51/4.64 thf(zip_derived_cl350, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((identity) = (sk_c10)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl349])).
% 28.51/4.64 thf(prove_this_17, conjecture,
% 28.51/4.64 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_11, negated_conjecture,
% 28.51/4.64 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 28.51/4.64 thf(zip_derived_cl19, plain,
% 28.51/4.64 ((((inverse @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_11])).
% 28.51/4.64 thf(prove_this_18, conjecture,
% 28.51/4.64 (~( ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_12, negated_conjecture,
% 28.51/4.64 (( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 28.51/4.64 thf(zip_derived_cl20, plain,
% 28.51/4.64 ((((multiply @ sk_c8 @ sk_c9) = (sk_c10))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_12])).
% 28.51/4.64 thf(zip_derived_cl121, plain,
% 28.51/4.64 ((((multiply @ (inverse @ sk_c7) @ sk_c9) = (sk_c10))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl20])).
% 28.51/4.64 thf(zip_derived_cl123, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ sk_c7) @ sk_c9) = (sk_c10)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 28.51/4.64 thf(zip_derived_cl1355, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl267])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl1515, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1355, zip_derived_cl244])).
% 28.51/4.64 thf(zip_derived_cl3275, plain,
% 28.51/4.64 ((((sk_c9) = (multiply @ sk_c7 @ sk_c10))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1515])).
% 28.51/4.64 thf(zip_derived_cl3682, plain,
% 28.51/4.64 ((((sk_c9) = (multiply @ sk_c7 @ identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl350, zip_derived_cl3275])).
% 28.51/4.64 thf(zip_derived_cl3687, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((sk_c9) = (multiply @ sk_c7 @ identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl3682])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl3803, plain,
% 28.51/4.64 ((((sk_c9) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl3687, zip_derived_cl1302])).
% 28.51/4.64 thf(zip_derived_cl350, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((identity) = (sk_c10)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl349])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl982, plain,
% 28.51/4.64 ((((identity) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl981, zip_derived_cl350])).
% 28.51/4.64 thf(zip_derived_cl20, plain,
% 28.51/4.64 ((((multiply @ sk_c8 @ sk_c9) = (sk_c10))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_12])).
% 28.51/4.64 thf(zip_derived_cl986, plain,
% 28.51/4.64 ((((multiply @ sk_c8 @ identity) = (sk_c10))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl20])).
% 28.51/4.64 thf(zip_derived_cl999, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ sk_c8 @ identity) = (sk_c10)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl986])).
% 28.51/4.64 thf(zip_derived_cl1359, plain,
% 28.51/4.64 ((((sk_c8) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl999])).
% 28.51/4.64 thf(zip_derived_cl19, plain,
% 28.51/4.64 ((((inverse @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_11])).
% 28.51/4.64 thf(zip_derived_cl1413, plain,
% 28.51/4.64 ((((inverse @ sk_c7) = (sk_c10))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1359, zip_derived_cl19])).
% 28.51/4.64 thf(zip_derived_cl1424, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((inverse @ sk_c7) = (sk_c10)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl1413])).
% 28.51/4.64 thf(zip_derived_cl1355, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl267])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl1511, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1355, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl2157, plain,
% 28.51/4.64 ((((multiply @ sk_c7 @ sk_c10) = (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1424, zip_derived_cl1511])).
% 28.51/4.64 thf(zip_derived_cl2851, plain,
% 28.51/4.64 ((((multiply @ sk_c7 @ identity) = (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl350, zip_derived_cl2157])).
% 28.51/4.64 thf(zip_derived_cl2855, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ sk_c7 @ identity) = (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl2851])).
% 28.51/4.64 thf(zip_derived_cl2, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 28.51/4.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 28.51/4.64 inference('cnf', [status(esa)], [associativity])).
% 28.51/4.64 thf(zip_derived_cl3652, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((multiply @ identity @ X0)
% 28.51/4.64 = (multiply @ sk_c7 @ (multiply @ identity @ X0)))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl2855, zip_derived_cl2])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl3664, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((X0) = (multiply @ sk_c7 @ X0)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl3652, zip_derived_cl0, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl1511, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1355, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl3742, plain,
% 28.51/4.64 ((((inverse @ sk_c7) = (identity)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl3664, zip_derived_cl1511])).
% 28.51/4.64 thf(zip_derived_cl3833, plain,
% 28.51/4.64 ((((inverse @ sk_c9) = (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl3803, zip_derived_cl3742])).
% 28.51/4.64 thf(zip_derived_cl3848, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((inverse @ sk_c9) = (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl3833])).
% 28.51/4.64 thf(zip_derived_cl3848, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((inverse @ sk_c9) = (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl3833])).
% 28.51/4.64 thf(zip_derived_cl1495, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((inverse @ sk_c11) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl1487])).
% 28.51/4.64 thf(zip_derived_cl350, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((identity) = (sk_c10)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl349])).
% 28.51/4.64 thf(zip_derived_cl1355, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl267])).
% 28.51/4.64 thf(prove_this_55, conjecture,
% 28.51/4.64 (~( ( ( multiply @ X8 @ sk_c9 ) != ( sk_c10 ) ) |
% 28.51/4.64 ( ( inverse @ X7 ) != ( X8 ) ) |
% 28.51/4.64 ( ( multiply @ X7 @ X8 ) != ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ X3 ) != ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 28.51/4.64 ( ( inverse @ X1 ) != ( sk_c11 ) ) |
% 28.51/4.64 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ X6 ) != ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ X5 ) != ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ X5 @ sk_c10 ) != ( sk_c9 ) ) |
% 28.51/4.64 ( ( inverse @ X4 ) != ( sk_c11 ) ) |
% 28.51/4.64 ( ( multiply @ X4 @ sk_c11 ) != ( sk_c10 ) ) ))).
% 28.51/4.64 thf(zf_stmt_13, negated_conjecture,
% 28.51/4.64 (( ( multiply @ X8 @ sk_c9 ) != ( sk_c10 ) ) |
% 28.51/4.64 ( ( inverse @ X7 ) != ( X8 ) ) |
% 28.51/4.64 ( ( multiply @ X7 @ X8 ) != ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ X3 ) != ( sk_c11 ) ) | ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 28.51/4.64 ( ( inverse @ X1 ) != ( sk_c11 ) ) |
% 28.51/4.64 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ X6 ) != ( sk_c11 ) ) | ( ( inverse @ X5 ) != ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ X5 @ sk_c10 ) != ( sk_c9 ) ) |
% 28.51/4.64 ( ( inverse @ X4 ) != ( sk_c11 ) ) |
% 28.51/4.64 ( ( multiply @ X4 @ sk_c11 ) != ( sk_c10 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_55])).
% 28.51/4.64 thf(zip_derived_cl57, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 28.51/4.64 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 28.51/4.64 | ((inverse @ X1) != (X0))
% 28.51/4.64 | ((multiply @ X1 @ X0) != (sk_c10))
% 28.51/4.64 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((inverse @ X3) != (sk_c10))
% 28.51/4.64 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 28.51/4.64 | ((inverse @ X4) != (sk_c11))
% 28.51/4.64 | ((multiply @ X4 @ sk_c11) != (sk_c10))
% 28.51/4.64 | ((multiply @ X5 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((inverse @ X5) != (sk_c11))
% 28.51/4.64 | ((inverse @ X6) != (sk_c10))
% 28.51/4.64 | ((multiply @ X6 @ sk_c10) != (sk_c9))
% 28.51/4.64 | ((inverse @ X7) != (sk_c11))
% 28.51/4.64 | ((multiply @ X7 @ sk_c11) != (sk_c10)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_13])).
% 28.51/4.64 thf(zip_derived_cl58, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 28.51/4.64 (((multiply @ X0 @ sk_c11) != (sk_c10))
% 28.51/4.64 | ((inverse @ X0) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c10) != (sk_c9))
% 28.51/4.64 | ((inverse @ X1) != (sk_c10))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((multiply @ X3 @ sk_c11) != (sk_c10))
% 28.51/4.64 | ((inverse @ X3) != (sk_c11))
% 28.51/4.64 | ((multiply @ X4 @ sk_c10) != (sk_c9))
% 28.51/4.64 | ((inverse @ X4) != (sk_c10))
% 28.51/4.64 | ((inverse @ X5) != (sk_c11))
% 28.51/4.64 | ((multiply @ X5 @ sk_c10) != (sk_c11))
% 28.51/4.64 | ((multiply @ X6 @ (inverse @ X6)) != (sk_c10))
% 28.51/4.64 | ((multiply @ (inverse @ X6) @ sk_c9) != (sk_c10)))),
% 28.51/4.64 inference('eq_res', [status(thm)], [zip_derived_cl57])).
% 28.51/4.64 thf(zip_derived_cl1512, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 28.51/4.64 (((X0) != (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X1) @ sk_c9) != (sk_c10))
% 28.51/4.64 | ((multiply @ X1 @ (inverse @ X1)) != (sk_c10))
% 28.51/4.64 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((inverse @ X3) != (sk_c10))
% 28.51/4.64 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 28.51/4.64 | ((inverse @ X4) != (sk_c11))
% 28.51/4.64 | ((multiply @ X4 @ sk_c11) != (sk_c10))
% 28.51/4.64 | ((multiply @ X5 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((inverse @ X5) != (sk_c11))
% 28.51/4.64 | ((inverse @ X6) != (sk_c10))
% 28.51/4.64 | ((multiply @ X6 @ sk_c10) != (sk_c9))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c11) != (sk_c10)))),
% 28.51/4.64 inference('sup-', [status(thm)], [zip_derived_cl1355, zip_derived_cl58])).
% 28.51/4.64 thf(zip_derived_cl1882, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ sk_c11) @ sk_c11) != (sk_c10))
% 28.51/4.64 | ((multiply @ X0 @ sk_c10) != (sk_c9))
% 28.51/4.64 | ((inverse @ X0) != (sk_c10))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c11) != (sk_c10))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 28.51/4.64 | ((inverse @ X3) != (sk_c10))
% 28.51/4.64 | ((inverse @ X4) != (sk_c11))
% 28.51/4.64 | ((multiply @ X4 @ sk_c10) != (sk_c11))
% 28.51/4.64 | ((multiply @ X5 @ (inverse @ X5)) != (sk_c10))
% 28.51/4.64 | ((multiply @ (inverse @ X5) @ sk_c9) != (sk_c10)))),
% 28.51/4.64 inference('eq_res', [status(thm)], [zip_derived_cl1512])).
% 28.51/4.64 thf(zip_derived_cl1883, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ sk_c11) @ sk_c11) != (sk_c10))
% 28.51/4.64 | ((multiply @ X0 @ (multiply @ (inverse @ sk_c11) @ sk_c11))
% 28.51/4.64 != (sk_c9))
% 28.51/4.64 | ((inverse @ X0) != (multiply @ (inverse @ sk_c11) @ sk_c11))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c11)
% 28.51/4.64 != (multiply @ (inverse @ sk_c11) @ sk_c11))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((multiply @ X3 @ (multiply @ (inverse @ sk_c11) @ sk_c11))
% 28.51/4.64 != (sk_c9))
% 28.51/4.64 | ((inverse @ X3) != (multiply @ (inverse @ sk_c11) @ sk_c11))
% 28.51/4.64 | ((inverse @ X4) != (sk_c11))
% 28.51/4.64 | ((multiply @ X4 @ (multiply @ (inverse @ sk_c11) @ sk_c11))
% 28.51/4.64 != (sk_c11))
% 28.51/4.64 | ((multiply @ X5 @ (inverse @ X5))
% 28.51/4.64 != (multiply @ (inverse @ sk_c11) @ sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X5) @ sk_c9)
% 28.51/4.64 != (multiply @ (inverse @ sk_c11) @ sk_c11)))),
% 28.51/4.64 inference('local_rewriting', [status(thm)], [zip_derived_cl1882])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl1884, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 28.51/4.64 (((identity) != (sk_c10))
% 28.51/4.64 | ((X0) != (sk_c9))
% 28.51/4.64 | ((inverse @ X0) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c11) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((X3) != (sk_c9))
% 28.51/4.64 | ((inverse @ X3) != (identity))
% 28.51/4.64 | ((inverse @ X4) != (sk_c11))
% 28.51/4.64 | ((X4) != (sk_c11))
% 28.51/4.64 | ((multiply @ X5 @ (inverse @ X5)) != (identity))
% 28.51/4.64 | ((multiply @ (inverse @ X5) @ sk_c9) != (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl1883, zip_derived_cl1, zip_derived_cl1,
% 28.51/4.64 zip_derived_cl1302, zip_derived_cl1, zip_derived_cl1,
% 28.51/4.64 zip_derived_cl1, zip_derived_cl1302, zip_derived_cl1,
% 28.51/4.64 zip_derived_cl1, zip_derived_cl1302, zip_derived_cl1,
% 28.51/4.64 zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl1511, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1355, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl2138, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 28.51/4.64 (((identity) != (sk_c10))
% 28.51/4.64 | ((X0) != (sk_c9))
% 28.51/4.64 | ((inverse @ X0) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c11) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((X3) != (sk_c9))
% 28.51/4.64 | ((inverse @ X3) != (identity))
% 28.51/4.64 | ((inverse @ X4) != (sk_c11))
% 28.51/4.64 | ((X4) != (sk_c11))
% 28.51/4.64 | ((identity) != (identity))
% 28.51/4.64 | ((multiply @ (inverse @ X5) @ sk_c9) != (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl1884, zip_derived_cl1511])).
% 28.51/4.64 thf(zip_derived_cl2139, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ X5) @ sk_c9) != (identity))
% 28.51/4.64 | ((X4) != (sk_c11))
% 28.51/4.64 | ((inverse @ X4) != (sk_c11))
% 28.51/4.64 | ((inverse @ X3) != (identity))
% 28.51/4.64 | ((X3) != (sk_c9))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c11) != (identity))
% 28.51/4.64 | ((multiply @ X1 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((inverse @ X0) != (identity))
% 28.51/4.64 | ((X0) != (sk_c9))
% 28.51/4.64 | ((identity) != (sk_c10)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl2138])).
% 28.51/4.64 thf(zip_derived_cl2291, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 28.51/4.64 (((identity) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((X0) != (sk_c9))
% 28.51/4.64 | ((inverse @ X0) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c11) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((X3) != (sk_c9))
% 28.51/4.64 | ((inverse @ X3) != (identity))
% 28.51/4.64 | ((inverse @ X4) != (sk_c11))
% 28.51/4.64 | ((X4) != (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X5) @ sk_c9) != (identity)))),
% 28.51/4.64 inference('sup-', [status(thm)], [zip_derived_cl350, zip_derived_cl2139])).
% 28.51/4.64 thf(zip_derived_cl2293, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ X5) @ sk_c9) != (identity))
% 28.51/4.64 | ((X4) != (sk_c11))
% 28.51/4.64 | ((inverse @ X4) != (sk_c11))
% 28.51/4.64 | ((inverse @ X3) != (identity))
% 28.51/4.64 | ((X3) != (sk_c9))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c11) != (identity))
% 28.51/4.64 | ((multiply @ X1 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((inverse @ X0) != (identity))
% 28.51/4.64 | ((X0) != (sk_c9))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl2291])).
% 28.51/4.64 thf(zip_derived_cl25218, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 28.51/4.64 (((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((X0) != (sk_c9))
% 28.51/4.64 | ((inverse @ X0) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c11) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((X3) != (sk_c9))
% 28.51/4.64 | ((inverse @ X3) != (identity))
% 28.51/4.64 | ((inverse @ sk_c11) != (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X4) @ sk_c9) != (identity)))),
% 28.51/4.64 inference('eq_res', [status(thm)], [zip_derived_cl2293])).
% 28.51/4.64 thf(zip_derived_cl25219, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 28.51/4.64 (((sk_c11) != (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (identity))
% 28.51/4.64 | ((X1) != (sk_c9))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c11) != (identity))
% 28.51/4.64 | ((multiply @ X3 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((inverse @ X3) != (sk_c11))
% 28.51/4.64 | ((inverse @ X4) != (identity))
% 28.51/4.64 | ((X4) != (sk_c9))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl1495, zip_derived_cl25218])).
% 28.51/4.64 thf(zip_derived_cl25220, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 28.51/4.64 (((X4) != (sk_c9))
% 28.51/4.64 | ((inverse @ X4) != (identity))
% 28.51/4.64 | ((inverse @ X3) != (sk_c11))
% 28.51/4.64 | ((multiply @ X3 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c11) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((X1) != (sk_c9))
% 28.51/4.64 | ((inverse @ X1) != (identity))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl25219])).
% 28.51/4.64 thf(zip_derived_cl25315, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.51/4.64 (((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (identity))
% 28.51/4.64 | ((X1) != (sk_c9))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c11) != (identity))
% 28.51/4.64 | ((multiply @ X3 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((inverse @ X3) != (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c9) != (identity)))),
% 28.51/4.64 inference('eq_res', [status(thm)], [zip_derived_cl25220])).
% 28.51/4.64 thf(zip_derived_cl25333, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.51/4.64 (((identity) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ X0) != (sk_c11))
% 28.51/4.64 | ((multiply @ X0 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c11) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((X2) != (sk_c9))
% 28.51/4.64 | ((inverse @ X2) != (identity))
% 28.51/4.64 | ((multiply @ (inverse @ X3) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl3848, zip_derived_cl25315])).
% 28.51/4.64 thf(zip_derived_cl25374, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ X3) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (identity))
% 28.51/4.64 | ((X2) != (sk_c9))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c11) != (identity))
% 28.51/4.64 | ((multiply @ X0 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((inverse @ X0) != (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl25333])).
% 28.51/4.64 thf(zip_derived_cl25459, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 (((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ X0) != (sk_c11))
% 28.51/4.64 | ((multiply @ X0 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c11) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c9) != (identity))
% 28.51/4.64 | ((multiply @ (inverse @ X2) @ sk_c9) != (identity)))),
% 28.51/4.64 inference('eq_res', [status(thm)], [zip_derived_cl25374])).
% 28.51/4.64 thf(zip_derived_cl25477, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 (((identity) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c11) != (identity))
% 28.51/4.64 | ((multiply @ X2 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl3848, zip_derived_cl25459])).
% 28.51/4.64 thf(zip_derived_cl25518, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 (((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c11) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl25477])).
% 28.51/4.64 thf(zip_derived_cl25590, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((sk_c11) != (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c11) != (identity))
% 28.51/4.64 | ((multiply @ sk_c11 @ sk_c9) != (sk_c11)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl1495, zip_derived_cl25518])).
% 28.51/4.64 thf(zip_derived_cl25702, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((multiply @ sk_c11 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c11) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl25590])).
% 28.51/4.64 thf(zip_derived_cl25779, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((multiply @ sk_c11 @ identity) != (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c11) != (identity)))),
% 28.51/4.64 inference('sup-', [status(thm)], [zip_derived_cl982, zip_derived_cl25702])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl25820, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((sk_c11) != (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ X1 @ sk_c11) != (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl25779, zip_derived_cl1302])).
% 28.51/4.64 thf(zip_derived_cl25821, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((multiply @ X1 @ sk_c11) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl25820])).
% 28.51/4.64 thf(zip_derived_cl25878, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((sk_c11) != (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((multiply @ sk_c11 @ sk_c11) != (identity)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl1495, zip_derived_cl25821])).
% 28.51/4.64 thf(zip_derived_cl25987, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((multiply @ sk_c11 @ sk_c11) != (identity))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl25878])).
% 28.51/4.64 thf(zip_derived_cl1358, plain,
% 28.51/4.64 ((((sk_c6) = (sk_c11)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl372])).
% 28.51/4.64 thf(zip_derived_cl16, plain,
% 28.51/4.64 ((((inverse @ sk_c6) = (sk_c11)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_10])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl67, plain,
% 28.51/4.64 ((((multiply @ sk_c11 @ sk_c6) = (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl1489, plain,
% 28.51/4.64 ((((multiply @ sk_c11 @ sk_c11) = (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1358, zip_derived_cl67])).
% 28.51/4.64 thf(zip_derived_cl1497, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ sk_c11 @ sk_c11) = (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl1489])).
% 28.51/4.64 thf(zip_derived_cl26136, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity)))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl25987, zip_derived_cl1497])).
% 28.51/4.64 thf(zip_derived_cl26138, plain,
% 28.51/4.64 ((((sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl1028, zip_derived_cl26136])).
% 28.51/4.64 thf(zip_derived_cl26286, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c11)) | ((sk_c9) != (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26138])).
% 28.51/4.64 thf(zip_derived_cl982, plain,
% 28.51/4.64 ((((identity) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c11)))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl981, zip_derived_cl350])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl1355, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl267])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl26547, plain,
% 28.51/4.64 ((((identity) = (sk_c9)) | ((sk_c1) = (inverse @ sk_c1)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl2306, zip_derived_cl26411, zip_derived_cl1355,
% 28.51/4.64 zip_derived_cl26411])).
% 28.51/4.64 thf(prove_this_42, conjecture,
% 28.51/4.64 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_14, negated_conjecture,
% 28.51/4.64 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c3 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_42])).
% 28.51/4.64 thf(zip_derived_cl44, plain,
% 28.51/4.64 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c3) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_14])).
% 28.51/4.64 thf(zip_derived_cl1355, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl267])).
% 28.51/4.64 thf(zip_derived_cl1539, plain,
% 28.51/4.64 ((((sk_c3) = (inverse @ sk_c11))
% 28.51/4.64 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl1355])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl1355, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl267])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl26515, plain,
% 28.51/4.64 ((((sk_c3) = (sk_c1)) | ((multiply @ sk_c6 @ sk_c10) = (inverse @ sk_c1)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl1539, zip_derived_cl26411, zip_derived_cl1355,
% 28.51/4.64 zip_derived_cl26411])).
% 28.51/4.64 thf(prove_this_2, conjecture,
% 28.51/4.64 (~( ( ( inverse @ sk_c4 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 28.51/4.64 thf(zf_stmt_15, negated_conjecture,
% 28.51/4.64 (( ( inverse @ sk_c4 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 28.51/4.64 thf(zip_derived_cl4, plain,
% 28.51/4.64 ((((inverse @ sk_c4) = (sk_c11))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_15])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl79, plain,
% 28.51/4.64 ((((multiply @ sk_c11 @ sk_c4) = (identity))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl271, plain,
% 28.51/4.64 ((((sk_c4) = (multiply @ (inverse @ sk_c11) @ identity))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl244])).
% 28.51/4.64 thf(prove_this_1, conjecture,
% 28.51/4.64 (~( ( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 28.51/4.64 thf(zf_stmt_16, negated_conjecture,
% 28.51/4.64 (( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 28.51/4.64 thf(zip_derived_cl3, plain,
% 28.51/4.64 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_16])).
% 28.51/4.64 thf(zip_derived_cl645, plain,
% 28.51/4.64 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c11)
% 28.51/4.64 = (sk_c10))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl271, zip_derived_cl3])).
% 28.51/4.64 thf(zip_derived_cl2, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 28.51/4.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 28.51/4.64 inference('cnf', [status(esa)], [associativity])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl651, plain,
% 28.51/4.64 ((((identity) = (sk_c10))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl645, zip_derived_cl2, zip_derived_cl0,
% 28.51/4.64 zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl652, plain,
% 28.51/4.64 ((((multiply @ sk_c1 @ sk_c11) = (sk_c10)) | ((identity) = (sk_c10)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl651])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl1511, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1355, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl26478, plain,
% 28.51/4.64 ((((identity) = (sk_c10)) | ((identity) = (sk_c10)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl652, zip_derived_cl26411, zip_derived_cl1511])).
% 28.51/4.64 thf(zip_derived_cl26479, plain, (((identity) = (sk_c10))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26478])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl27059, plain,
% 28.51/4.64 ((((sk_c3) = (sk_c1)) | ((sk_c6) = (inverse @ sk_c1)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl26515, zip_derived_cl26479, zip_derived_cl1302])).
% 28.51/4.64 thf(prove_this_51, conjecture,
% 28.51/4.64 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_17, negated_conjecture,
% 28.51/4.64 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_51])).
% 28.51/4.64 thf(zip_derived_cl53, plain,
% 28.51/4.64 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 28.51/4.64 | ((multiply @ sk_c3 @ sk_c9) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_17])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl26443, plain,
% 28.51/4.64 ((((multiply @ sk_c6 @ sk_c10) = (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ sk_c3 @ sk_c9) = (inverse @ sk_c1)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl53, zip_derived_cl26411, zip_derived_cl26411])).
% 28.51/4.64 thf(zip_derived_cl26479, plain, (((identity) = (sk_c10))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26478])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl33204, plain,
% 28.51/4.64 ((((sk_c6) = (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ sk_c3 @ sk_c9) = (inverse @ sk_c1)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl26443, zip_derived_cl26479, zip_derived_cl1302])).
% 28.51/4.64 thf(zip_derived_cl33227, plain,
% 28.51/4.64 ((((multiply @ sk_c1 @ sk_c9) = (inverse @ sk_c1))
% 28.51/4.64 | ((sk_c6) = (inverse @ sk_c1))
% 28.51/4.64 | ((sk_c6) = (inverse @ sk_c1)))),
% 28.51/4.64 inference('sup+', [status(thm)],
% 28.51/4.64 [zip_derived_cl27059, zip_derived_cl33204])).
% 28.51/4.64 thf(zip_derived_cl33230, plain,
% 28.51/4.64 ((((sk_c6) = (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c9) = (inverse @ sk_c1)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33227])).
% 28.51/4.64 thf(prove_this_41, conjecture,
% 28.51/4.64 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_18, negated_conjecture,
% 28.51/4.64 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( inverse @ sk_c3 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_41])).
% 28.51/4.64 thf(zip_derived_cl43, plain,
% 28.51/4.64 ((((inverse @ sk_c6) = (sk_c11)) | ((inverse @ sk_c3) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_18])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl128, plain,
% 28.51/4.64 ((((multiply @ sk_c11 @ sk_c3) = (identity))
% 28.51/4.64 | ((inverse @ sk_c6) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl278, plain,
% 28.51/4.64 ((((sk_c3) = (multiply @ (inverse @ sk_c11) @ identity))
% 28.51/4.64 | ((inverse @ sk_c6) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl244])).
% 28.51/4.64 thf(prove_this_50, conjecture,
% 28.51/4.64 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c11 ) ) ))).
% 28.51/4.64 thf(zf_stmt_19, negated_conjecture,
% 28.51/4.64 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 28.51/4.64 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c11 ) )),
% 28.51/4.64 inference('cnf.neg', [status(esa)], [prove_this_50])).
% 28.51/4.64 thf(zip_derived_cl52, plain,
% 28.51/4.64 ((((inverse @ sk_c6) = (sk_c11))
% 28.51/4.64 | ((multiply @ sk_c3 @ sk_c9) = (sk_c11)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_19])).
% 28.51/4.64 thf(zip_derived_cl734, plain,
% 28.51/4.64 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c9)
% 28.51/4.64 = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c6) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c6) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl278, zip_derived_cl52])).
% 28.51/4.64 thf(zip_derived_cl2, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 28.51/4.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 28.51/4.64 inference('cnf', [status(esa)], [associativity])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl749, plain,
% 28.51/4.64 ((((multiply @ (inverse @ sk_c11) @ sk_c9) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c6) = (sk_c11))
% 28.51/4.64 | ((inverse @ sk_c6) = (sk_c11)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl734, zip_derived_cl2, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl750, plain,
% 28.51/4.64 ((((inverse @ sk_c6) = (sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ sk_c11) @ sk_c9) = (sk_c11)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl749])).
% 28.51/4.64 thf(zip_derived_cl1355, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl267])).
% 28.51/4.64 thf(zip_derived_cl5533, plain,
% 28.51/4.64 ((((sk_c6) = (inverse @ sk_c11))
% 28.51/4.64 | ((multiply @ (inverse @ sk_c11) @ sk_c9) = (sk_c11)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl750, zip_derived_cl1355])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl1355, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl267])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl1355, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl267])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl26573, plain,
% 28.51/4.64 ((((sk_c6) = (sk_c1)) | ((multiply @ sk_c1 @ sk_c9) = (inverse @ sk_c1)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl5533, zip_derived_cl26411, zip_derived_cl1355,
% 28.51/4.64 zip_derived_cl26411, zip_derived_cl1355, zip_derived_cl26411])).
% 28.51/4.64 thf(zip_derived_cl33235, plain,
% 28.51/4.64 ((((inverse @ sk_c1) = (sk_c1))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c9) = (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c9) = (inverse @ sk_c1)))),
% 28.51/4.64 inference('sup+', [status(thm)],
% 28.51/4.64 [zip_derived_cl33230, zip_derived_cl26573])).
% 28.51/4.64 thf(zip_derived_cl33245, plain,
% 28.51/4.64 ((((multiply @ sk_c1 @ sk_c9) = (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c1)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33235])).
% 28.51/4.64 thf(zip_derived_cl33253, plain,
% 28.51/4.64 ((((multiply @ sk_c1 @ identity) = (inverse @ sk_c1))
% 28.51/4.64 | ((sk_c1) = (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c1)))),
% 28.51/4.64 inference('sup+', [status(thm)],
% 28.51/4.64 [zip_derived_cl26547, zip_derived_cl33245])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl33265, plain,
% 28.51/4.64 ((((sk_c1) = (inverse @ sk_c1))
% 28.51/4.64 | ((sk_c1) = (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ sk_c1) = (sk_c1)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl33253, zip_derived_cl1302])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl266, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl244])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl340, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl244])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl1286, plain, (((inverse @ identity) = (identity))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl340, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl2139, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ X5) @ sk_c9) != (identity))
% 28.51/4.64 | ((X4) != (sk_c11))
% 28.51/4.64 | ((inverse @ X4) != (sk_c11))
% 28.51/4.64 | ((inverse @ X3) != (identity))
% 28.51/4.64 | ((X3) != (sk_c9))
% 28.51/4.64 | ((inverse @ X2) != (sk_c11))
% 28.51/4.64 | ((multiply @ X2 @ sk_c11) != (identity))
% 28.51/4.64 | ((multiply @ X1 @ sk_c9) != (sk_c11))
% 28.51/4.64 | ((inverse @ X1) != (sk_c11))
% 28.51/4.64 | ((inverse @ X0) != (identity))
% 28.51/4.64 | ((X0) != (sk_c9))
% 28.51/4.64 | ((identity) != (sk_c10)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl2138])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl26411, plain, (((inverse @ sk_c1) = (sk_c11))),
% 28.51/4.64 inference('clc', [status(thm)], [zip_derived_cl26286, zip_derived_cl982])).
% 28.51/4.64 thf(zip_derived_cl26526, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ X5) @ sk_c9) != (identity))
% 28.51/4.64 | ((X4) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X4) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X3) != (identity))
% 28.51/4.64 | ((X3) != (sk_c9))
% 28.51/4.64 | ((inverse @ X2) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X2 @ (inverse @ sk_c1)) != (identity))
% 28.51/4.64 | ((multiply @ X1 @ sk_c9) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X0) != (identity))
% 28.51/4.64 | ((X0) != (sk_c9))
% 28.51/4.64 | ((identity) != (sk_c10)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl2139, zip_derived_cl26411, zip_derived_cl26411,
% 28.51/4.64 zip_derived_cl26411, zip_derived_cl26411,
% 28.51/4.64 zip_derived_cl26411, zip_derived_cl26411])).
% 28.51/4.64 thf(zip_derived_cl26479, plain, (((identity) = (sk_c10))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26478])).
% 28.51/4.64 thf(zip_derived_cl26736, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ X5) @ sk_c9) != (identity))
% 28.51/4.64 | ((X4) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X4) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X3) != (identity))
% 28.51/4.64 | ((X3) != (sk_c9))
% 28.51/4.64 | ((inverse @ X2) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X2 @ (inverse @ sk_c1)) != (identity))
% 28.51/4.64 | ((multiply @ X1 @ sk_c9) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X0) != (identity))
% 28.51/4.64 | ((X0) != (sk_c9))
% 28.51/4.64 | ((identity) != (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl26526, zip_derived_cl26479])).
% 28.51/4.64 thf(zip_derived_cl26737, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 28.51/4.64 (((X0) != (sk_c9))
% 28.51/4.64 | ((inverse @ X0) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ sk_c9) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X2 @ (inverse @ sk_c1)) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (inverse @ sk_c1))
% 28.51/4.64 | ((X3) != (sk_c9))
% 28.51/4.64 | ((inverse @ X3) != (identity))
% 28.51/4.64 | ((inverse @ X4) != (inverse @ sk_c1))
% 28.51/4.64 | ((X4) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ (inverse @ X5) @ sk_c9) != (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26736])).
% 28.51/4.64 thf(zip_derived_cl26738, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X2) != (identity))
% 28.51/4.64 | ((X2) != (sk_c9))
% 28.51/4.64 | ((inverse @ X3) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X3 @ (inverse @ sk_c1)) != (identity))
% 28.51/4.64 | ((multiply @ X4 @ sk_c9) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X4) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ sk_c9) != (identity)))),
% 28.51/4.64 inference('eq_res', [status(thm)], [zip_derived_cl26737])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl33302, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X2) != (identity))
% 28.51/4.64 | ((X2) != (sk_c9))
% 28.51/4.64 | ((inverse @ X3) != (sk_c1))
% 28.51/4.64 | ((multiply @ X3 @ sk_c1) != (identity))
% 28.51/4.64 | ((multiply @ X4 @ sk_c9) != (sk_c1))
% 28.51/4.64 | ((inverse @ X4) != (sk_c1))
% 28.51/4.64 | ((inverse @ sk_c9) != (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl26738, zip_derived_cl33266,
% 28.51/4.64 zip_derived_cl33266, zip_derived_cl33266,
% 28.51/4.64 zip_derived_cl33266, zip_derived_cl33266, zip_derived_cl33266])).
% 28.51/4.64 thf(zip_derived_cl936, plain,
% 28.51/4.64 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9)) | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl935])).
% 28.51/4.64 thf(zip_derived_cl26479, plain, (((identity) = (sk_c10))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26478])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl26707, plain,
% 28.51/4.64 ((((sk_c5) = (sk_c9)) | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl936, zip_derived_cl26479, zip_derived_cl1302])).
% 28.51/4.64 thf(zip_derived_cl23, plain,
% 28.51/4.64 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9))
% 28.51/4.64 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_5])).
% 28.51/4.64 thf(zip_derived_cl26479, plain, (((identity) = (sk_c10))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26478])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl26479, plain, (((identity) = (sk_c10))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26478])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl26689, plain,
% 28.51/4.64 ((((sk_c5) = (sk_c9)) | ((sk_c2) = (sk_c9)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl23, zip_derived_cl26479, zip_derived_cl1302,
% 28.51/4.64 zip_derived_cl26479, zip_derived_cl1302])).
% 28.51/4.64 thf(zip_derived_cl32, plain,
% 28.51/4.64 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9))
% 28.51/4.64 | ((inverse @ sk_c2) = (sk_c10)))),
% 28.51/4.64 inference('cnf', [status(esa)], [zf_stmt_4])).
% 28.51/4.64 thf(zip_derived_cl26479, plain, (((identity) = (sk_c10))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26478])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl26479, plain, (((identity) = (sk_c10))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26478])).
% 28.51/4.64 thf(zip_derived_cl26694, plain,
% 28.51/4.64 ((((sk_c5) = (sk_c9)) | ((inverse @ sk_c2) = (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl32, zip_derived_cl26479, zip_derived_cl1302,
% 28.51/4.64 zip_derived_cl26479])).
% 28.51/4.64 thf(zip_derived_cl26825, plain,
% 28.51/4.64 ((((inverse @ sk_c9) = (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9))
% 28.51/4.64 | ((sk_c5) = (sk_c9)))),
% 28.51/4.64 inference('sup+', [status(thm)],
% 28.51/4.64 [zip_derived_cl26689, zip_derived_cl26694])).
% 28.51/4.64 thf(zip_derived_cl26830, plain,
% 28.51/4.64 ((((sk_c5) = (sk_c9)) | ((inverse @ sk_c9) = (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26825])).
% 28.51/4.64 thf(zip_derived_cl1515, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1355, zip_derived_cl244])).
% 28.51/4.64 thf(zip_derived_cl26990, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((X0) = (multiply @ sk_c9 @ (multiply @ identity @ X0)))
% 28.51/4.64 | ((sk_c5) = (sk_c9)))),
% 28.51/4.64 inference('sup+', [status(thm)],
% 28.51/4.64 [zip_derived_cl26830, zip_derived_cl1515])).
% 28.51/4.64 thf(zip_derived_cl0, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_identity])).
% 28.51/4.64 thf(zip_derived_cl27002, plain,
% 28.51/4.64 (![X0 : $i]: (((X0) = (multiply @ sk_c9 @ X0)) | ((sk_c5) = (sk_c9)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl26990, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl244, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 28.51/4.64 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 28.51/4.64 thf(zip_derived_cl28103, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((X0) = (multiply @ (inverse @ sk_c9) @ X0)) | ((sk_c5) = (sk_c9)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl27002, zip_derived_cl244])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl792, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (sk_c10)) | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl791])).
% 28.51/4.64 thf(zip_derived_cl26479, plain, (((identity) = (sk_c10))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26478])).
% 28.51/4.64 thf(zip_derived_cl26706, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (identity)) | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl792, zip_derived_cl26479])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl26830, plain,
% 28.51/4.64 ((((sk_c5) = (sk_c9)) | ((inverse @ sk_c9) = (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26825])).
% 28.51/4.64 thf(zip_derived_cl26830, plain,
% 28.51/4.64 ((((sk_c5) = (sk_c9)) | ((inverse @ sk_c9) = (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26825])).
% 28.51/4.64 thf(zip_derived_cl26738, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X2) != (identity))
% 28.51/4.64 | ((X2) != (sk_c9))
% 28.51/4.64 | ((inverse @ X3) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X3 @ (inverse @ sk_c1)) != (identity))
% 28.51/4.64 | ((multiply @ X4 @ sk_c9) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X4) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ sk_c9) != (identity)))),
% 28.51/4.64 inference('eq_res', [status(thm)], [zip_derived_cl26737])).
% 28.51/4.64 thf(zip_derived_cl26992, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 28.51/4.64 (((identity) != (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9))
% 28.51/4.64 | ((inverse @ X0) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X0 @ sk_c9) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ (inverse @ sk_c1)) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((X2) != (sk_c9))
% 28.51/4.64 | ((inverse @ X2) != (identity))
% 28.51/4.64 | ((inverse @ X3) != (inverse @ sk_c1))
% 28.51/4.64 | ((X3) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ (inverse @ X4) @ sk_c9) != (identity)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl26830, zip_derived_cl26738])).
% 28.51/4.64 thf(zip_derived_cl27003, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ X4) @ sk_c9) != (identity))
% 28.51/4.64 | ((X3) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X3) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X2) != (identity))
% 28.51/4.64 | ((X2) != (sk_c9))
% 28.51/4.64 | ((inverse @ X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ (inverse @ sk_c1)) != (identity))
% 28.51/4.64 | ((multiply @ X0 @ sk_c9) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X0) != (inverse @ sk_c1))
% 28.51/4.64 | ((sk_c5) = (sk_c9)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl26992])).
% 28.51/4.64 thf(zip_derived_cl31053, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.51/4.64 (((sk_c5) = (sk_c9))
% 28.51/4.64 | ((inverse @ X0) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X0 @ sk_c9) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ (inverse @ sk_c1)) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (inverse @ sk_c1))
% 28.51/4.64 | ((X2) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ (inverse @ X3) @ sk_c9) != (identity)))),
% 28.51/4.64 inference('eq_res', [status(thm)], [zip_derived_cl27003])).
% 28.51/4.64 thf(zip_derived_cl31054, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.51/4.64 (((identity) != (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X2) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X2 @ (inverse @ sk_c1)) != (identity))
% 28.51/4.64 | ((multiply @ X3 @ sk_c9) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X3) != (inverse @ sk_c1))
% 28.51/4.64 | ((sk_c5) = (sk_c9)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl26830, zip_derived_cl31053])).
% 28.51/4.64 thf(zip_derived_cl31066, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.51/4.64 (((inverse @ X3) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X3 @ sk_c9) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X2 @ (inverse @ sk_c1)) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl31054])).
% 28.51/4.64 thf(zip_derived_cl31079, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 (((sk_c5) = (sk_c9))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ (inverse @ sk_c1)) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ (inverse @ sk_c1)) != (identity))
% 28.51/4.64 | ((multiply @ X2 @ sk_c9) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X2) != (inverse @ sk_c1)))),
% 28.51/4.64 inference('eq_res', [status(thm)], [zip_derived_cl31066])).
% 28.51/4.64 thf(zip_derived_cl1355, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl267])).
% 28.51/4.64 thf(zip_derived_cl31080, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 (((sk_c5) = (sk_c9))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((sk_c1) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (inverse @ sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ (inverse @ sk_c1)) != (identity))
% 28.51/4.64 | ((multiply @ X2 @ sk_c9) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X2) != (inverse @ sk_c1)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl31079, zip_derived_cl1355])).
% 28.51/4.64 thf(zip_derived_cl31081, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 (((sk_c5) = (sk_c9))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((sk_c1) != (inverse @ sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ sk_c1) != (identity))
% 28.51/4.64 | ((multiply @ X2 @ sk_c9) != (sk_c1))
% 28.51/4.64 | ((inverse @ X2) != (sk_c1)))),
% 28.51/4.64 inference('local_rewriting', [status(thm)], [zip_derived_cl31080])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl33349, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 (((sk_c5) = (sk_c9))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((sk_c1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ sk_c1) != (identity))
% 28.51/4.64 | ((multiply @ X2 @ sk_c9) != (sk_c1))
% 28.51/4.64 | ((inverse @ X2) != (sk_c1)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl31081, zip_derived_cl33266])).
% 28.51/4.64 thf(zip_derived_cl33350, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 (((inverse @ X2) != (sk_c1))
% 28.51/4.64 | ((multiply @ X2 @ sk_c9) != (sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ sk_c1) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33349])).
% 28.51/4.64 thf(zip_derived_cl33864, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((sk_c1) != (sk_c1))
% 28.51/4.64 | ((sk_c5) = (sk_c9))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ sk_c1) != (identity))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c9) != (sk_c1)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl33266, zip_derived_cl33350])).
% 28.51/4.64 thf(zip_derived_cl33890, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((multiply @ sk_c1 @ sk_c9) != (sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ sk_c1) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33864])).
% 28.51/4.64 thf(zip_derived_cl33907, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((multiply @ sk_c1 @ identity) != (sk_c1))
% 28.51/4.64 | ((inverse @ sk_c5) = (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ sk_c1) != (identity)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl26706, zip_derived_cl33890])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl33912, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((sk_c1) != (sk_c1))
% 28.51/4.64 | ((inverse @ sk_c5) = (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ sk_c1) != (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl33907, zip_derived_cl1302])).
% 28.51/4.64 thf(zip_derived_cl33913, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((multiply @ X1 @ sk_c1) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9))
% 28.51/4.64 | ((inverse @ sk_c5) = (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33912])).
% 28.51/4.64 thf(zip_derived_cl34552, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((sk_c1) != (sk_c1))
% 28.51/4.64 | ((inverse @ sk_c5) = (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((multiply @ sk_c1 @ sk_c1) != (identity)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl33266, zip_derived_cl33913])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl1, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 28.51/4.64 inference('cnf', [status(esa)], [left_inverse])).
% 28.51/4.64 thf(zip_derived_cl33375, plain, (((multiply @ sk_c1 @ sk_c1) = (identity))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl33266, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl34580, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((sk_c1) != (sk_c1))
% 28.51/4.64 | ((inverse @ sk_c5) = (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9))
% 28.51/4.64 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((identity) != (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl34552, zip_derived_cl33375])).
% 28.51/4.64 thf(zip_derived_cl34581, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9))
% 28.51/4.64 | ((inverse @ sk_c5) = (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34580])).
% 28.51/4.64 thf(zip_derived_cl34601, plain,
% 28.51/4.64 ((((sk_c9) != (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9))
% 28.51/4.64 | ((inverse @ sk_c5) = (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl28103, zip_derived_cl34581])).
% 28.51/4.64 thf(zip_derived_cl34640, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (identity))
% 28.51/4.64 | ((sk_c5) = (sk_c9))
% 28.51/4.64 | ((sk_c9) != (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34601])).
% 28.51/4.64 thf(zip_derived_cl34641, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (identity))
% 28.51/4.64 | ((sk_c5) = (identity))
% 28.51/4.64 | ((sk_c9) != (identity)))),
% 28.51/4.64 inference('local_rewriting', [status(thm)], [zip_derived_cl34640])).
% 28.51/4.64 thf(zip_derived_cl26706, plain,
% 28.51/4.64 ((((inverse @ sk_c5) = (identity)) | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl792, zip_derived_cl26479])).
% 28.51/4.64 thf(zip_derived_cl34700, plain,
% 28.51/4.64 ((((sk_c5) = (identity)) | ((inverse @ sk_c5) = (identity)))),
% 28.51/4.64 inference('clc', [status(thm)],
% 28.51/4.64 [zip_derived_cl34641, zip_derived_cl26706])).
% 28.51/4.64 thf(zip_derived_cl1355, plain,
% 28.51/4.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl267])).
% 28.51/4.64 thf(zip_derived_cl34702, plain,
% 28.51/4.64 ((((sk_c5) = (inverse @ identity)) | ((sk_c5) = (identity)))),
% 28.51/4.64 inference('sup+', [status(thm)],
% 28.51/4.64 [zip_derived_cl34700, zip_derived_cl1355])).
% 28.51/4.64 thf(zip_derived_cl1286, plain, (((inverse @ identity) = (identity))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl340, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl34711, plain,
% 28.51/4.64 ((((sk_c5) = (identity)) | ((sk_c5) = (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl34702, zip_derived_cl1286])).
% 28.51/4.64 thf(zip_derived_cl34712, plain, (((sk_c5) = (identity))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34711])).
% 28.51/4.64 thf(zip_derived_cl34725, plain,
% 28.51/4.64 ((((identity) = (sk_c9)) | ((identity) = (sk_c9)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl26707, zip_derived_cl34712])).
% 28.51/4.64 thf(zip_derived_cl34726, plain, (((identity) = (sk_c9))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34725])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl34726, plain, (((identity) = (sk_c9))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34725])).
% 28.51/4.64 thf(zip_derived_cl34726, plain, (((identity) = (sk_c9))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34725])).
% 28.51/4.64 thf(zip_derived_cl1302, plain,
% 28.51/4.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl264])).
% 28.51/4.64 thf(zip_derived_cl34726, plain, (((identity) = (sk_c9))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34725])).
% 28.51/4.64 thf(zip_derived_cl1286, plain, (((inverse @ identity) = (identity))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl340, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl34799, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 28.51/4.64 (((inverse @ X0) != (identity))
% 28.51/4.64 | ((X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X2) != (identity))
% 28.51/4.64 | ((X2) != (identity))
% 28.51/4.64 | ((inverse @ X3) != (sk_c1))
% 28.51/4.64 | ((multiply @ X3 @ sk_c1) != (identity))
% 28.51/4.64 | ((X4) != (sk_c1))
% 28.51/4.64 | ((inverse @ X4) != (sk_c1))
% 28.51/4.64 | ((identity) != (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl33302, zip_derived_cl34726, zip_derived_cl1302,
% 28.51/4.64 zip_derived_cl34726, zip_derived_cl34726, zip_derived_cl1302,
% 28.51/4.64 zip_derived_cl34726, zip_derived_cl1286])).
% 28.51/4.64 thf(zip_derived_cl34800, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 28.51/4.64 (((inverse @ X4) != (sk_c1))
% 28.51/4.64 | ((X4) != (sk_c1))
% 28.51/4.64 | ((multiply @ X3 @ sk_c1) != (identity))
% 28.51/4.64 | ((inverse @ X3) != (sk_c1))
% 28.51/4.64 | ((X2) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X0) != (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34799])).
% 28.51/4.64 thf(zip_derived_cl34825, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.51/4.64 (((inverse @ X0) != (identity))
% 28.51/4.64 | ((X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X2) != (identity))
% 28.51/4.64 | ((X2) != (identity))
% 28.51/4.64 | ((inverse @ X3) != (sk_c1))
% 28.51/4.64 | ((multiply @ X3 @ sk_c1) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) != (sk_c1)))),
% 28.51/4.64 inference('eq_res', [status(thm)], [zip_derived_cl34800])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl34826, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.51/4.64 (((inverse @ X0) != (identity))
% 28.51/4.64 | ((X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X2) != (identity))
% 28.51/4.64 | ((X2) != (identity))
% 28.51/4.64 | ((inverse @ X3) != (sk_c1))
% 28.51/4.64 | ((multiply @ X3 @ sk_c1) != (identity))
% 28.51/4.64 | ((sk_c1) != (sk_c1)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl34825, zip_derived_cl33266])).
% 28.51/4.64 thf(zip_derived_cl34827, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 28.51/4.64 (((multiply @ X3 @ sk_c1) != (identity))
% 28.51/4.64 | ((inverse @ X3) != (sk_c1))
% 28.51/4.64 | ((X2) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X0) != (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34826])).
% 28.51/4.64 thf(zip_derived_cl34828, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 (((inverse @ X0) != (identity))
% 28.51/4.64 | ((X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ identity) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (sk_c1))
% 28.51/4.64 | ((multiply @ X2 @ sk_c1) != (identity)))),
% 28.51/4.64 inference('eq_res', [status(thm)], [zip_derived_cl34827])).
% 28.51/4.64 thf(zip_derived_cl1286, plain, (((inverse @ identity) = (identity))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl340, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl34829, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 (((inverse @ X0) != (identity))
% 28.51/4.64 | ((X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((identity) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (sk_c1))
% 28.51/4.64 | ((multiply @ X2 @ sk_c1) != (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl34828, zip_derived_cl1286])).
% 28.51/4.64 thf(zip_derived_cl34830, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 28.51/4.64 (((multiply @ X2 @ sk_c1) != (identity))
% 28.51/4.64 | ((inverse @ X2) != (sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X0) != (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34829])).
% 28.51/4.64 thf(zip_derived_cl34831, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((inverse @ X0) != (identity))
% 28.51/4.64 | ((inverse @ sk_c1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ sk_c1) != (identity)))),
% 28.51/4.64 inference('eq_res', [status(thm)], [zip_derived_cl34830])).
% 28.51/4.64 thf(zip_derived_cl33266, plain, (((sk_c1) = (inverse @ sk_c1))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl33265])).
% 28.51/4.64 thf(zip_derived_cl34832, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((inverse @ X0) != (identity))
% 28.51/4.64 | ((sk_c1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((multiply @ X1 @ sk_c1) != (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl34831, zip_derived_cl33266])).
% 28.51/4.64 thf(zip_derived_cl34833, plain,
% 28.51/4.64 (![X0 : $i, X1 : $i]:
% 28.51/4.64 (((multiply @ X1 @ sk_c1) != (identity))
% 28.51/4.64 | ((inverse @ X1) != (sk_c1))
% 28.51/4.64 | ((inverse @ X0) != (identity)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34832])).
% 28.51/4.64 thf(zip_derived_cl34834, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((identity) != (identity))
% 28.51/4.64 | ((inverse @ X0) != (sk_c1))
% 28.51/4.64 | ((multiply @ X0 @ sk_c1) != (identity)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl1286, zip_derived_cl34833])).
% 28.51/4.64 thf(zip_derived_cl34844, plain,
% 28.51/4.64 (![X0 : $i]:
% 28.51/4.64 (((multiply @ X0 @ sk_c1) != (identity)) | ((inverse @ X0) != (sk_c1)))),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34834])).
% 28.51/4.64 thf(zip_derived_cl34925, plain,
% 28.51/4.64 ((((sk_c1) != (sk_c1)) | ((multiply @ sk_c1 @ sk_c1) != (identity)))),
% 28.51/4.64 inference('sup-', [status(thm)],
% 28.51/4.64 [zip_derived_cl33266, zip_derived_cl34844])).
% 28.51/4.64 thf(zip_derived_cl33375, plain, (((multiply @ sk_c1 @ sk_c1) = (identity))),
% 28.51/4.64 inference('sup+', [status(thm)], [zip_derived_cl33266, zip_derived_cl1])).
% 28.51/4.64 thf(zip_derived_cl34927, plain,
% 28.51/4.64 ((((sk_c1) != (sk_c1)) | ((identity) != (identity)))),
% 28.51/4.64 inference('demod', [status(thm)],
% 28.51/4.64 [zip_derived_cl34925, zip_derived_cl33375])).
% 28.51/4.64 thf(zip_derived_cl34928, plain, ($false),
% 28.51/4.64 inference('simplify', [status(thm)], [zip_derived_cl34927])).
% 28.51/4.64
% 28.51/4.64 % SZS output end Refutation
% 28.51/4.64
% 28.51/4.64
% 28.51/4.64 % Terminating...
% 28.93/4.75 % Runner terminated.
% 28.93/4.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------