TSTP Solution File: GRP325-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP325-1 : 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.eCuhzRjACL true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:12 EDT 2023
% Result : Unsatisfiable 1.36s 1.06s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.16 % Problem : GRP325-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eCuhzRjACL true
% 0.18/0.38 % Computer : n018.cluster.edu
% 0.18/0.38 % Model : x86_64 x86_64
% 0.18/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.38 % Memory : 8042.1875MB
% 0.18/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.38 % CPULimit : 300
% 0.18/0.38 % WCLimit : 300
% 0.18/0.38 % DateTime : Mon Aug 28 19:58:17 EDT 2023
% 0.18/0.38 % CPUTime :
% 0.18/0.38 % Running portfolio for 300 s
% 0.18/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.38 % Number of cores: 8
% 0.24/0.38 % Python version: Python 3.6.8
% 0.24/0.39 % Running in FO mode
% 0.24/0.70 % Total configuration time : 435
% 0.24/0.70 % Estimated wc time : 1092
% 0.24/0.70 % Estimated cpu time (7 cpus) : 156.0
% 1.03/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.03/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.03/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.03/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.03/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.03/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.36/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.36/1.06 % Solved by fo/fo7.sh.
% 1.36/1.06 % done 340 iterations in 0.246s
% 1.36/1.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/1.06 % SZS output start Refutation
% 1.36/1.06 thf(sk_c8_type, type, sk_c8: $i).
% 1.36/1.06 thf(sk_c3_type, type, sk_c3: $i).
% 1.36/1.06 thf(sk_c5_type, type, sk_c5: $i).
% 1.36/1.06 thf(sk_c4_type, type, sk_c4: $i).
% 1.36/1.06 thf(identity_type, type, identity: $i).
% 1.36/1.06 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.36/1.06 thf(sk_c10_type, type, sk_c10: $i).
% 1.36/1.06 thf(inverse_type, type, inverse: $i > $i).
% 1.36/1.06 thf(sk_c1_type, type, sk_c1: $i).
% 1.36/1.06 thf(sk_c2_type, type, sk_c2: $i).
% 1.36/1.06 thf(sk_c9_type, type, sk_c9: $i).
% 1.36/1.06 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.36/1.06 thf(zip_derived_cl0, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.06 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(associativity, axiom,
% 1.36/1.06 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.36/1.06 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.36/1.06 thf(zip_derived_cl2, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.06 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.36/1.06 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.36/1.06 inference('cnf', [status(esa)], [associativity])).
% 1.36/1.06 thf(zip_derived_cl112, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((multiply @ identity @ X0)
% 1.36/1.06 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.36/1.06 thf(zip_derived_cl0, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl153, plain,
% 1.36/1.06 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl139])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl202, plain,
% 1.36/1.06 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl139])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl898, plain, (((inverse @ identity) = (identity))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl1])).
% 1.36/1.06 thf(prove_this_47, conjecture,
% 1.36/1.06 (~( ( ( multiply @ X3 @ sk_c10 ) != ( X7 ) ) |
% 1.36/1.06 ( ( inverse @ X7 ) != ( sk_c10 ) ) | ( ( inverse @ X3 ) != ( X7 ) ) |
% 1.36/1.06 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ X2 ) != ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c10 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c9 ) != ( sk_c8 ) ) |
% 1.36/1.06 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 1.36/1.06 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ X6 ) != ( sk_c10 ) ) |
% 1.36/1.06 ( ( multiply @ X6 @ sk_c10 ) != ( X5 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c10 @ X5 ) != ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c9 @ sk_c10 ) != ( sk_c8 ) ) ))).
% 1.36/1.06 thf(zf_stmt_0, negated_conjecture,
% 1.36/1.06 (( ( multiply @ X3 @ sk_c10 ) != ( X7 ) ) |
% 1.36/1.06 ( ( inverse @ X7 ) != ( sk_c10 ) ) | ( ( inverse @ X3 ) != ( X7 ) ) |
% 1.36/1.06 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ X2 ) != ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c10 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c9 ) != ( sk_c8 ) ) |
% 1.36/1.06 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 1.36/1.06 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ X6 ) != ( sk_c10 ) ) |
% 1.36/1.06 ( ( multiply @ X6 @ sk_c10 ) != ( X5 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c10 @ X5 ) != ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c9 @ sk_c10 ) != ( sk_c8 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_47])).
% 1.36/1.06 thf(zip_derived_cl49, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.36/1.06 (((multiply @ X1 @ sk_c10) != (X0))
% 1.36/1.06 | ((inverse @ X0) != (sk_c10))
% 1.36/1.06 | ((inverse @ X1) != (X0))
% 1.36/1.06 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 1.36/1.06 | ((inverse @ X2) != (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c10 @ sk_c8) != (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c9) != (sk_c8))
% 1.36/1.06 | ((inverse @ X3) != (sk_c10))
% 1.36/1.06 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.36/1.06 | ((inverse @ X4) != (sk_c10))
% 1.36/1.06 | ((multiply @ X4 @ sk_c10) != (X5))
% 1.36/1.06 | ((multiply @ sk_c10 @ X5) != (sk_c9))
% 1.36/1.06 | ((inverse @ X6) != (sk_c9))
% 1.36/1.06 | ((multiply @ X6 @ sk_c9) != (sk_c10))
% 1.36/1.06 | ((multiply @ sk_c9 @ sk_c10) != (sk_c8)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.36/1.06 thf(zip_derived_cl50, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.36/1.06 (((multiply @ X1 @ sk_c10) != (X0))
% 1.36/1.06 | ((inverse @ X0) != (sk_c10))
% 1.36/1.06 | ((inverse @ X1) != (X0))
% 1.36/1.06 | ((multiply @ X2 @ (multiply @ sk_c9 @ sk_c10)) != (sk_c9))
% 1.36/1.06 | ((inverse @ X2) != (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c10 @ (multiply @ sk_c9 @ sk_c10)) != (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c9) != (sk_c8))
% 1.36/1.06 | ((inverse @ X3) != (sk_c10))
% 1.36/1.06 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.36/1.06 | ((inverse @ X4) != (sk_c10))
% 1.36/1.06 | ((multiply @ X4 @ sk_c10) != (X5))
% 1.36/1.06 | ((multiply @ sk_c10 @ X5) != (sk_c9))
% 1.36/1.06 | ((inverse @ X6) != (sk_c9))
% 1.36/1.06 | ((multiply @ X6 @ sk_c9) != (sk_c10))
% 1.36/1.06 | ((multiply @ sk_c9 @ sk_c10) != (sk_c8)))),
% 1.36/1.06 inference('local_rewriting', [status(thm)], [zip_derived_cl49])).
% 1.36/1.06 thf(prove_this_1, conjecture, (( multiply @ sk_c9 @ sk_c10 ) != ( sk_c8 ))).
% 1.36/1.06 thf(zf_stmt_1, negated_conjecture,
% 1.36/1.06 (( multiply @ sk_c9 @ sk_c10 ) = ( sk_c8 )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.36/1.06 thf(zip_derived_cl3, plain, (((multiply @ sk_c9 @ sk_c10) = (sk_c8))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.36/1.06 thf(zip_derived_cl3, plain, (((multiply @ sk_c9 @ sk_c10) = (sk_c8))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.36/1.06 thf(zip_derived_cl51, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.36/1.06 (((multiply @ X1 @ sk_c10) != (X0))
% 1.36/1.06 | ((inverse @ X0) != (sk_c10))
% 1.36/1.06 | ((inverse @ X1) != (X0))
% 1.36/1.06 | ((multiply @ X2 @ (multiply @ sk_c9 @ sk_c10)) != (sk_c9))
% 1.36/1.06 | ((inverse @ X2) != (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c10 @ (multiply @ sk_c9 @ sk_c10)) != (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c9) != (multiply @ sk_c9 @ sk_c10))
% 1.36/1.06 | ((inverse @ X3) != (sk_c10))
% 1.36/1.06 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.36/1.06 | ((inverse @ X4) != (sk_c10))
% 1.36/1.06 | ((multiply @ X4 @ sk_c10) != (X5))
% 1.36/1.06 | ((multiply @ sk_c10 @ X5) != (sk_c9))
% 1.36/1.06 | ((inverse @ X6) != (sk_c9))
% 1.36/1.06 | ((multiply @ X6 @ sk_c9) != (sk_c10))
% 1.36/1.06 | ((multiply @ sk_c9 @ sk_c10) != (multiply @ sk_c9 @ sk_c10)))),
% 1.36/1.06 inference('demod', [status(thm)],
% 1.36/1.06 [zip_derived_cl50, zip_derived_cl3, zip_derived_cl3])).
% 1.36/1.06 thf(zip_derived_cl52, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.36/1.06 (((multiply @ X6 @ sk_c9) != (sk_c10))
% 1.36/1.06 | ((inverse @ X6) != (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c10 @ X5) != (sk_c9))
% 1.36/1.06 | ((multiply @ X4 @ sk_c10) != (X5))
% 1.36/1.06 | ((inverse @ X4) != (sk_c10))
% 1.36/1.06 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.36/1.06 | ((inverse @ X3) != (sk_c10))
% 1.36/1.06 | ((inverse @ sk_c9) != (multiply @ sk_c9 @ sk_c10))
% 1.36/1.06 | ((multiply @ sk_c10 @ (multiply @ sk_c9 @ sk_c10)) != (sk_c9))
% 1.36/1.06 | ((inverse @ X2) != (sk_c9))
% 1.36/1.06 | ((multiply @ X2 @ (multiply @ sk_c9 @ sk_c10)) != (sk_c9))
% 1.36/1.06 | ((inverse @ X1) != (X0))
% 1.36/1.06 | ((inverse @ X0) != (sk_c10))
% 1.36/1.06 | ((multiply @ X1 @ sk_c10) != (X0)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl51])).
% 1.36/1.06 thf(zip_derived_cl53, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.36/1.06 (((multiply @ X6 @ sk_c9) != (sk_c10))
% 1.36/1.06 | ((inverse @ X6) != (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c10 @ X5) != (sk_c9))
% 1.36/1.06 | ((multiply @ X4 @ sk_c10) != (X5))
% 1.36/1.06 | ((inverse @ X4) != (sk_c10))
% 1.36/1.06 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.36/1.06 | ((inverse @ X3) != (sk_c10))
% 1.36/1.06 | ((inverse @ sk_c9) != (multiply @ sk_c9 @ sk_c10))
% 1.36/1.06 | ((multiply @ sk_c10 @ (inverse @ sk_c9)) != (sk_c9))
% 1.36/1.06 | ((inverse @ X2) != (sk_c9))
% 1.36/1.06 | ((multiply @ X2 @ (inverse @ sk_c9)) != (sk_c9))
% 1.36/1.06 | ((inverse @ X1) != (X0))
% 1.36/1.06 | ((inverse @ X0) != (sk_c10))
% 1.36/1.06 | ((multiply @ X1 @ sk_c10) != (X0)))),
% 1.36/1.06 inference('local_rewriting', [status(thm)], [zip_derived_cl52])).
% 1.36/1.06 thf(prove_this_12, conjecture,
% 1.36/1.06 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.36/1.06 thf(zf_stmt_2, negated_conjecture,
% 1.36/1.06 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.36/1.06 thf(zip_derived_cl14, plain,
% 1.36/1.06 ((((inverse @ sk_c4) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl59, plain,
% 1.36/1.06 ((((multiply @ sk_c10 @ sk_c4) = (identity))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl157, plain,
% 1.36/1.06 ((((sk_c4) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl139])).
% 1.36/1.06 thf(prove_this_11, conjecture,
% 1.36/1.06 (~( ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.36/1.06 thf(zf_stmt_3, negated_conjecture,
% 1.36/1.06 (( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.36/1.06 thf(zip_derived_cl13, plain,
% 1.36/1.06 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.36/1.06 thf(zip_derived_cl277, plain,
% 1.36/1.06 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 1.36/1.06 = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl13])).
% 1.36/1.06 thf(zip_derived_cl2, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.06 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.36/1.06 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.36/1.06 inference('cnf', [status(esa)], [associativity])).
% 1.36/1.06 thf(zip_derived_cl0, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl281, plain,
% 1.36/1.06 ((((identity) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)],
% 1.36/1.06 [zip_derived_cl277, zip_derived_cl2, zip_derived_cl0,
% 1.36/1.06 zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl282, plain,
% 1.36/1.06 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl281])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl338, plain,
% 1.36/1.06 ((((multiply @ sk_c9 @ sk_c1) = (identity)) | ((identity) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl282, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl494, plain,
% 1.36/1.06 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.36/1.06 | ((identity) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl139])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl154, plain,
% 1.36/1.06 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl139])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl151, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl139])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl954, plain,
% 1.36/1.06 ((((sk_c1) = (inverse @ sk_c9)) | ((identity) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl494, zip_derived_cl911])).
% 1.36/1.06 thf(prove_this_3, conjecture,
% 1.36/1.06 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 1.36/1.06 thf(zf_stmt_4, negated_conjecture,
% 1.36/1.06 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.36/1.06 thf(zip_derived_cl5, plain,
% 1.36/1.06 ((((inverse @ sk_c4) = (sk_c10))
% 1.36/1.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl154, plain,
% 1.36/1.06 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl139])).
% 1.36/1.06 thf(zip_derived_cl964, plain,
% 1.36/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl911, zip_derived_cl154])).
% 1.36/1.06 thf(zip_derived_cl982, plain,
% 1.36/1.06 ((((sk_c4) = (inverse @ sk_c10))
% 1.36/1.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl964])).
% 1.36/1.06 thf(prove_this_2, conjecture,
% 1.36/1.06 (~( ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 1.36/1.06 thf(zf_stmt_5, negated_conjecture,
% 1.36/1.06 (( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.36/1.06 thf(zip_derived_cl4, plain,
% 1.36/1.06 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.36/1.06 thf(zip_derived_cl1493, plain,
% 1.36/1.06 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10))
% 1.36/1.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl982, zip_derived_cl4])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl1501, plain,
% 1.36/1.06 ((((identity) = (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10))
% 1.36/1.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl1493, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl1502, plain,
% 1.36/1.06 ((((multiply @ sk_c1 @ sk_c9) = (sk_c10)) | ((identity) = (sk_c9)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl1501])).
% 1.36/1.06 thf(zip_derived_cl2023, plain,
% 1.36/1.06 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c10))
% 1.36/1.06 | ((identity) = (sk_c9))
% 1.36/1.06 | ((identity) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl954, zip_derived_cl1502])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl2026, plain,
% 1.36/1.06 ((((identity) = (sk_c10))
% 1.36/1.06 | ((identity) = (sk_c9))
% 1.36/1.06 | ((identity) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl2023, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl2027, plain,
% 1.36/1.06 ((((identity) = (sk_c9)) | ((identity) = (sk_c10)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2026])).
% 1.36/1.06 thf(prove_this_15, conjecture,
% 1.36/1.06 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.36/1.06 thf(zf_stmt_6, negated_conjecture,
% 1.36/1.06 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.36/1.06 thf(zip_derived_cl17, plain,
% 1.36/1.06 ((((inverse @ sk_c5) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl60, plain,
% 1.36/1.06 ((((multiply @ sk_c9 @ sk_c5) = (identity))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl156, plain,
% 1.36/1.06 ((((sk_c5) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl139])).
% 1.36/1.06 thf(prove_this_16, conjecture,
% 1.36/1.06 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.36/1.06 thf(zf_stmt_7, negated_conjecture,
% 1.36/1.06 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.36/1.06 thf(zip_derived_cl18, plain,
% 1.36/1.06 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.36/1.06 thf(zip_derived_cl3, plain, (((multiply @ sk_c9 @ sk_c10) = (sk_c8))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.36/1.06 thf(zip_derived_cl97, plain,
% 1.36/1.06 ((((multiply @ sk_c5 @ (multiply @ sk_c9 @ sk_c10)) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 1.36/1.06 thf(zip_derived_cl345, plain,
% 1.36/1.06 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @
% 1.36/1.06 (multiply @ sk_c9 @ sk_c10)) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl97])).
% 1.36/1.06 thf(zip_derived_cl2, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.06 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.36/1.06 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.36/1.06 inference('cnf', [status(esa)], [associativity])).
% 1.36/1.06 thf(zip_derived_cl0, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl349, plain,
% 1.36/1.06 ((((sk_c10) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)],
% 1.36/1.06 [zip_derived_cl345, zip_derived_cl2, zip_derived_cl0,
% 1.36/1.06 zip_derived_cl139])).
% 1.36/1.06 thf(zip_derived_cl350, plain,
% 1.36/1.06 ((((inverse @ sk_c1) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl349])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl352, plain,
% 1.36/1.06 ((((multiply @ sk_c9 @ sk_c1) = (identity)) | ((sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl350, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl497, plain,
% 1.36/1.06 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.36/1.06 | ((sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl352, zip_derived_cl139])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl955, plain,
% 1.36/1.06 ((((sk_c1) = (inverse @ sk_c9)) | ((sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl497, zip_derived_cl911])).
% 1.36/1.06 thf(prove_this_42, conjecture,
% 1.36/1.06 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.36/1.06 thf(zf_stmt_8, negated_conjecture,
% 1.36/1.06 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_42])).
% 1.36/1.06 thf(zip_derived_cl44, plain,
% 1.36/1.06 ((((inverse @ sk_c5) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c10)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl71, plain,
% 1.36/1.06 ((((multiply @ sk_c10 @ sk_c2) = (identity))
% 1.36/1.06 | ((inverse @ sk_c5) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl167, plain,
% 1.36/1.06 ((((sk_c2) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.36/1.06 | ((inverse @ sk_c5) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl139])).
% 1.36/1.06 thf(prove_this_33, conjecture,
% 1.36/1.06 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c3 ) ) ))).
% 1.36/1.06 thf(zf_stmt_9, negated_conjecture,
% 1.36/1.06 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c3 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 1.36/1.06 thf(zip_derived_cl35, plain,
% 1.36/1.06 ((((inverse @ sk_c5) = (sk_c9)) | ((multiply @ sk_c2 @ sk_c10) = (sk_c3)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.36/1.06 thf(zip_derived_cl298, plain,
% 1.36/1.06 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 1.36/1.06 = (sk_c3))
% 1.36/1.06 | ((inverse @ sk_c5) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c5) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl35])).
% 1.36/1.06 thf(zip_derived_cl2, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.06 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.36/1.06 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.36/1.06 inference('cnf', [status(esa)], [associativity])).
% 1.36/1.06 thf(zip_derived_cl0, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl319, plain,
% 1.36/1.06 ((((identity) = (sk_c3))
% 1.36/1.06 | ((inverse @ sk_c5) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c5) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)],
% 1.36/1.06 [zip_derived_cl298, zip_derived_cl2, zip_derived_cl0,
% 1.36/1.06 zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl320, plain,
% 1.36/1.06 ((((inverse @ sk_c5) = (sk_c9)) | ((identity) = (sk_c3)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl319])).
% 1.36/1.06 thf(prove_this_24, conjecture,
% 1.36/1.06 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c10 @ sk_c3 ) = ( sk_c9 ) ) ))).
% 1.36/1.06 thf(zf_stmt_10, negated_conjecture,
% 1.36/1.06 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c10 @ sk_c3 ) = ( sk_c9 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.36/1.06 thf(zip_derived_cl26, plain,
% 1.36/1.06 ((((inverse @ sk_c5) = (sk_c9)) | ((multiply @ sk_c10 @ sk_c3) = (sk_c9)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.36/1.06 thf(zip_derived_cl330, plain,
% 1.36/1.06 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c5) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c5) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl26])).
% 1.36/1.06 thf(zip_derived_cl337, plain,
% 1.36/1.06 ((((inverse @ sk_c5) = (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl330])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl951, plain,
% 1.36/1.06 ((((inverse @ sk_c5) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl337, zip_derived_cl911])).
% 1.36/1.06 thf(zip_derived_cl964, plain,
% 1.36/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl911, zip_derived_cl154])).
% 1.36/1.06 thf(zip_derived_cl999, plain,
% 1.36/1.06 ((((sk_c5) = (inverse @ sk_c9)) | ((sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl951, zip_derived_cl964])).
% 1.36/1.06 thf(prove_this_7, conjecture,
% 1.36/1.06 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 1.36/1.06 thf(zf_stmt_11, negated_conjecture,
% 1.36/1.06 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.36/1.06 thf(zip_derived_cl9, plain,
% 1.36/1.06 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.36/1.06 thf(zip_derived_cl3, plain, (((multiply @ sk_c9 @ sk_c10) = (sk_c8))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.36/1.06 thf(zip_derived_cl262, plain,
% 1.36/1.06 ((((multiply @ sk_c5 @ (multiply @ sk_c9 @ sk_c10)) = (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 1.36/1.06 thf(zip_derived_cl1129, plain,
% 1.36/1.06 ((((multiply @ (inverse @ sk_c9) @ (multiply @ sk_c9 @ sk_c10)) = (sk_c9))
% 1.36/1.06 | ((sk_c10) = (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl999, zip_derived_cl262])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl1135, plain,
% 1.36/1.06 ((((sk_c10) = (sk_c9))
% 1.36/1.06 | ((sk_c10) = (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl1129, zip_derived_cl139])).
% 1.36/1.06 thf(zip_derived_cl1136, plain,
% 1.36/1.06 ((((multiply @ sk_c1 @ sk_c9) = (sk_c10)) | ((sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl1135])).
% 1.36/1.06 thf(zip_derived_cl1731, plain,
% 1.36/1.06 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c10))
% 1.36/1.06 | ((sk_c10) = (sk_c9))
% 1.36/1.06 | ((sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl955, zip_derived_cl1136])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl1734, plain,
% 1.36/1.06 ((((identity) = (sk_c10)) | ((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl1731, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl1735, plain,
% 1.36/1.06 ((((sk_c10) = (sk_c9)) | ((identity) = (sk_c10)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl1734])).
% 1.36/1.06 thf(zip_derived_cl1852, plain,
% 1.36/1.06 ((((sk_c9) != (identity)) | ((identity) = (sk_c10)))),
% 1.36/1.06 inference('eq_fact', [status(thm)], [zip_derived_cl1735])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl0, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl0, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl2061, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.36/1.06 (((multiply @ X6 @ sk_c9) != (identity))
% 1.36/1.06 | ((inverse @ X6) != (sk_c9))
% 1.36/1.06 | ((X5) != (sk_c9))
% 1.36/1.06 | ((X4) != (X5))
% 1.36/1.06 | ((inverse @ X4) != (identity))
% 1.36/1.06 | ((X3) != (sk_c9))
% 1.36/1.06 | ((inverse @ X3) != (identity))
% 1.36/1.06 | ((inverse @ sk_c9) != (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c9) != (sk_c9))
% 1.36/1.06 | ((inverse @ X2) != (sk_c9))
% 1.36/1.06 | ((multiply @ X2 @ (inverse @ sk_c9)) != (sk_c9))
% 1.36/1.06 | ((inverse @ X1) != (X0))
% 1.36/1.06 | ((inverse @ X0) != (identity))
% 1.36/1.06 | ((X1) != (X0)))),
% 1.36/1.06 inference('demod', [status(thm)],
% 1.36/1.06 [zip_derived_cl53, zip_derived_cl2031, zip_derived_cl2031,
% 1.36/1.06 zip_derived_cl0, zip_derived_cl2031, zip_derived_cl911,
% 1.36/1.06 zip_derived_cl2031, zip_derived_cl2031, zip_derived_cl911,
% 1.36/1.06 zip_derived_cl2031, zip_derived_cl2031, zip_derived_cl911,
% 1.36/1.06 zip_derived_cl2031, zip_derived_cl0, zip_derived_cl2031,
% 1.36/1.06 zip_derived_cl2031, zip_derived_cl911])).
% 1.36/1.06 thf(zip_derived_cl2062, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.36/1.06 (((X1) != (X0))
% 1.36/1.06 | ((inverse @ X0) != (identity))
% 1.36/1.06 | ((inverse @ X1) != (X0))
% 1.36/1.06 | ((multiply @ X2 @ (inverse @ sk_c9)) != (sk_c9))
% 1.36/1.06 | ((inverse @ X2) != (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c9) != (sk_c9))
% 1.36/1.06 | ((inverse @ X3) != (identity))
% 1.36/1.06 | ((X3) != (sk_c9))
% 1.36/1.06 | ((inverse @ X4) != (identity))
% 1.36/1.06 | ((X4) != (X5))
% 1.36/1.06 | ((X5) != (sk_c9))
% 1.36/1.06 | ((inverse @ X6) != (sk_c9))
% 1.36/1.06 | ((multiply @ X6 @ sk_c9) != (identity)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2061])).
% 1.36/1.06 thf(zip_derived_cl2063, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.36/1.06 (((X1) != (X0))
% 1.36/1.06 | ((inverse @ X0) != (identity))
% 1.36/1.06 | ((inverse @ X1) != (X0))
% 1.36/1.06 | ((multiply @ X2 @ sk_c9) != (sk_c9))
% 1.36/1.06 | ((inverse @ X2) != (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c9) != (sk_c9))
% 1.36/1.06 | ((inverse @ X3) != (identity))
% 1.36/1.06 | ((X3) != (sk_c9))
% 1.36/1.06 | ((inverse @ X4) != (identity))
% 1.36/1.06 | ((X4) != (X5))
% 1.36/1.06 | ((X5) != (sk_c9))
% 1.36/1.06 | ((inverse @ X6) != (sk_c9))
% 1.36/1.06 | ((multiply @ X6 @ sk_c9) != (identity)))),
% 1.36/1.06 inference('local_rewriting', [status(thm)], [zip_derived_cl2062])).
% 1.36/1.06 thf(zip_derived_cl2150, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.36/1.06 (((multiply @ X0 @ sk_c9) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (sk_c9))
% 1.36/1.06 | ((X1) != (sk_c9))
% 1.36/1.06 | ((X2) != (X1))
% 1.36/1.06 | ((inverse @ X2) != (identity))
% 1.36/1.06 | ((X3) != (sk_c9))
% 1.36/1.06 | ((inverse @ X3) != (identity))
% 1.36/1.06 | ((inverse @ sk_c9) != (sk_c9))
% 1.36/1.06 | ((inverse @ X4) != (sk_c9))
% 1.36/1.06 | ((multiply @ X4 @ sk_c9) != (sk_c9))
% 1.36/1.06 | ((inverse @ X5) != (X5))
% 1.36/1.06 | ((inverse @ X5) != (identity)))),
% 1.36/1.06 inference('eq_res', [status(thm)], [zip_derived_cl2063])).
% 1.36/1.06 thf(zip_derived_cl2151, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/1.06 (((inverse @ X0) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((multiply @ X1 @ sk_c9) != (sk_c9))
% 1.36/1.06 | ((inverse @ X1) != (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c9) != (sk_c9))
% 1.36/1.06 | ((inverse @ X2) != (identity))
% 1.36/1.06 | ((X2) != (sk_c9))
% 1.36/1.06 | ((inverse @ X3) != (identity))
% 1.36/1.06 | ((X3) != (sk_c9))
% 1.36/1.06 | ((inverse @ X4) != (sk_c9))
% 1.36/1.06 | ((multiply @ X4 @ sk_c9) != (identity)))),
% 1.36/1.06 inference('eq_res', [status(thm)], [zip_derived_cl2150])).
% 1.36/1.06 thf(prove_this_38, conjecture,
% 1.36/1.06 (~( ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.36/1.06 thf(zf_stmt_12, negated_conjecture,
% 1.36/1.06 (( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_38])).
% 1.36/1.06 thf(zip_derived_cl40, plain,
% 1.36/1.06 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c2) = (sk_c10)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.36/1.06 thf(zip_derived_cl964, plain,
% 1.36/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl911, zip_derived_cl154])).
% 1.36/1.06 thf(zip_derived_cl989, plain,
% 1.36/1.06 ((((sk_c2) = (inverse @ sk_c10))
% 1.36/1.06 | ((multiply @ sk_c4 @ sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl964])).
% 1.36/1.06 thf(prove_this_29, conjecture,
% 1.36/1.06 (~( ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c3 ) ) ))).
% 1.36/1.06 thf(zf_stmt_13, negated_conjecture,
% 1.36/1.06 (( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c3 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 1.36/1.06 thf(zip_derived_cl31, plain,
% 1.36/1.06 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c2 @ sk_c10) = (sk_c3)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.36/1.06 thf(zip_derived_cl1546, plain,
% 1.36/1.06 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c3))
% 1.36/1.06 | ((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c4 @ sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl989, zip_derived_cl31])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl1572, plain,
% 1.36/1.06 ((((identity) = (sk_c3))
% 1.36/1.06 | ((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c4 @ sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl1546, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl1573, plain,
% 1.36/1.06 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9)) | ((identity) = (sk_c3)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl1572])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl2148, plain,
% 1.36/1.06 ((((sk_c4) = (sk_c9)) | ((identity) = (sk_c3)))),
% 1.36/1.06 inference('demod', [status(thm)],
% 1.36/1.06 [zip_derived_cl1573, zip_derived_cl2031, zip_derived_cl911])).
% 1.36/1.06 thf(prove_this_20, conjecture,
% 1.36/1.06 (~( ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c10 @ sk_c3 ) = ( sk_c9 ) ) ))).
% 1.36/1.06 thf(zf_stmt_14, negated_conjecture,
% 1.36/1.06 (( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c10 @ sk_c3 ) = ( sk_c9 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.36/1.06 thf(zip_derived_cl22, plain,
% 1.36/1.06 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 1.36/1.06 | ((multiply @ sk_c10 @ sk_c3) = (sk_c9)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl0, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.06 thf(zip_derived_cl2043, plain, ((((sk_c4) = (sk_c9)) | ((sk_c3) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)],
% 1.36/1.06 [zip_derived_cl22, zip_derived_cl2031, zip_derived_cl911,
% 1.36/1.06 zip_derived_cl2031, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl2191, plain,
% 1.36/1.06 ((((identity) = (sk_c9)) | ((sk_c4) = (sk_c9)) | ((sk_c4) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl2148, zip_derived_cl2043])).
% 1.36/1.06 thf(zip_derived_cl2196, plain,
% 1.36/1.06 ((((sk_c4) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2191])).
% 1.36/1.06 thf(prove_this_39, conjecture,
% 1.36/1.06 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.36/1.06 thf(zf_stmt_15, negated_conjecture,
% 1.36/1.06 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.36/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_39])).
% 1.36/1.06 thf(zip_derived_cl41, plain,
% 1.36/1.06 ((((inverse @ sk_c4) = (sk_c10)) | ((inverse @ sk_c2) = (sk_c10)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl70, plain,
% 1.36/1.06 ((((multiply @ sk_c10 @ sk_c2) = (identity))
% 1.36/1.06 | ((inverse @ sk_c4) = (sk_c10)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl139, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.36/1.06 thf(zip_derived_cl166, plain,
% 1.36/1.06 ((((sk_c2) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.36/1.06 | ((inverse @ sk_c4) = (sk_c10)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl139])).
% 1.36/1.06 thf(prove_this_30, conjecture,
% 1.36/1.06 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c3 ) ) ))).
% 1.36/1.06 thf(zf_stmt_16, negated_conjecture,
% 1.36/1.06 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c3 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.36/1.06 thf(zip_derived_cl32, plain,
% 1.36/1.06 ((((inverse @ sk_c4) = (sk_c10))
% 1.36/1.06 | ((multiply @ sk_c2 @ sk_c10) = (sk_c3)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.36/1.06 thf(zip_derived_cl399, plain,
% 1.36/1.06 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 1.36/1.06 = (sk_c3))
% 1.36/1.06 | ((inverse @ sk_c4) = (sk_c10))
% 1.36/1.06 | ((inverse @ sk_c4) = (sk_c10)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl32])).
% 1.36/1.06 thf(zip_derived_cl2, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.06 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.36/1.06 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.36/1.06 inference('cnf', [status(esa)], [associativity])).
% 1.36/1.06 thf(zip_derived_cl0, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl420, plain,
% 1.36/1.06 ((((identity) = (sk_c3))
% 1.36/1.06 | ((inverse @ sk_c4) = (sk_c10))
% 1.36/1.06 | ((inverse @ sk_c4) = (sk_c10)))),
% 1.36/1.06 inference('demod', [status(thm)],
% 1.36/1.06 [zip_derived_cl399, zip_derived_cl2, zip_derived_cl0,
% 1.36/1.06 zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl421, plain,
% 1.36/1.06 ((((inverse @ sk_c4) = (sk_c10)) | ((identity) = (sk_c3)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl420])).
% 1.36/1.06 thf(prove_this_21, conjecture,
% 1.36/1.06 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c10 @ sk_c3 ) = ( sk_c9 ) ) ))).
% 1.36/1.06 thf(zf_stmt_17, negated_conjecture,
% 1.36/1.06 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.36/1.06 ( ( multiply @ sk_c10 @ sk_c3 ) = ( sk_c9 ) )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.36/1.06 thf(zip_derived_cl23, plain,
% 1.36/1.06 ((((inverse @ sk_c4) = (sk_c10))
% 1.36/1.06 | ((multiply @ sk_c10 @ sk_c3) = (sk_c9)))),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.36/1.06 thf(zip_derived_cl431, plain,
% 1.36/1.06 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 1.36/1.06 | ((inverse @ sk_c4) = (sk_c10))
% 1.36/1.06 | ((inverse @ sk_c4) = (sk_c10)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl421, zip_derived_cl23])).
% 1.36/1.06 thf(zip_derived_cl443, plain,
% 1.36/1.06 ((((inverse @ sk_c4) = (sk_c10))
% 1.36/1.06 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl431])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl952, plain,
% 1.36/1.06 ((((inverse @ sk_c4) = (sk_c10)) | ((sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl443, zip_derived_cl911])).
% 1.36/1.06 thf(zip_derived_cl1, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.06 thf(zip_derived_cl1001, plain,
% 1.36/1.06 ((((multiply @ sk_c10 @ sk_c4) = (identity)) | ((sk_c10) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl952, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl0, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.06 thf(zip_derived_cl2031, plain, (((identity) = (sk_c10))),
% 1.36/1.06 inference('clc', [status(thm)], [zip_derived_cl2027, zip_derived_cl1852])).
% 1.36/1.06 thf(zip_derived_cl2130, plain,
% 1.36/1.06 ((((sk_c4) = (identity)) | ((identity) = (sk_c9)))),
% 1.36/1.06 inference('demod', [status(thm)],
% 1.36/1.06 [zip_derived_cl1001, zip_derived_cl2031, zip_derived_cl0,
% 1.36/1.06 zip_derived_cl2031])).
% 1.36/1.06 thf(zip_derived_cl2197, plain,
% 1.36/1.06 ((((sk_c9) = (identity))
% 1.36/1.06 | ((identity) = (sk_c9))
% 1.36/1.06 | ((identity) = (sk_c9)))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl2196, zip_derived_cl2130])).
% 1.36/1.06 thf(zip_derived_cl2198, plain, (((sk_c9) = (identity))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2197])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl2198, plain, (((sk_c9) = (identity))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2197])).
% 1.36/1.06 thf(zip_derived_cl2198, plain, (((sk_c9) = (identity))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2197])).
% 1.36/1.06 thf(zip_derived_cl2198, plain, (((sk_c9) = (identity))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2197])).
% 1.36/1.06 thf(zip_derived_cl898, plain, (((inverse @ identity) = (identity))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl2198, plain, (((sk_c9) = (identity))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2197])).
% 1.36/1.06 thf(zip_derived_cl2198, plain, (((sk_c9) = (identity))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2197])).
% 1.36/1.06 thf(zip_derived_cl2198, plain, (((sk_c9) = (identity))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2197])).
% 1.36/1.06 thf(zip_derived_cl2198, plain, (((sk_c9) = (identity))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2197])).
% 1.36/1.06 thf(zip_derived_cl2198, plain, (((sk_c9) = (identity))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2197])).
% 1.36/1.06 thf(zip_derived_cl911, plain,
% 1.36/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl151])).
% 1.36/1.06 thf(zip_derived_cl2219, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/1.06 (((inverse @ X0) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((X1) != (identity))
% 1.36/1.06 | ((inverse @ X1) != (identity))
% 1.36/1.06 | ((identity) != (identity))
% 1.36/1.06 | ((inverse @ X2) != (identity))
% 1.36/1.06 | ((X2) != (identity))
% 1.36/1.06 | ((inverse @ X3) != (identity))
% 1.36/1.06 | ((X3) != (identity))
% 1.36/1.06 | ((inverse @ X4) != (identity))
% 1.36/1.06 | ((X4) != (identity)))),
% 1.36/1.06 inference('demod', [status(thm)],
% 1.36/1.06 [zip_derived_cl2151, zip_derived_cl2198, zip_derived_cl911,
% 1.36/1.06 zip_derived_cl2198, zip_derived_cl2198, zip_derived_cl2198,
% 1.36/1.06 zip_derived_cl898, zip_derived_cl2198, zip_derived_cl2198,
% 1.36/1.06 zip_derived_cl2198, zip_derived_cl2198, zip_derived_cl2198,
% 1.36/1.06 zip_derived_cl911])).
% 1.36/1.06 thf(zip_derived_cl2220, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/1.06 (((X4) != (identity))
% 1.36/1.06 | ((inverse @ X4) != (identity))
% 1.36/1.06 | ((X3) != (identity))
% 1.36/1.06 | ((inverse @ X3) != (identity))
% 1.36/1.06 | ((X2) != (identity))
% 1.36/1.06 | ((inverse @ X2) != (identity))
% 1.36/1.06 | ((inverse @ X1) != (identity))
% 1.36/1.06 | ((X1) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((inverse @ X0) != (identity)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2219])).
% 1.36/1.06 thf(zip_derived_cl2228, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/1.06 (((inverse @ X0) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((X1) != (identity))
% 1.36/1.06 | ((inverse @ X1) != (identity))
% 1.36/1.06 | ((inverse @ X2) != (identity))
% 1.36/1.06 | ((X2) != (identity))
% 1.36/1.06 | ((inverse @ X3) != (identity))
% 1.36/1.06 | ((X3) != (identity))
% 1.36/1.06 | ((inverse @ identity) != (identity)))),
% 1.36/1.06 inference('eq_res', [status(thm)], [zip_derived_cl2220])).
% 1.36/1.06 thf(zip_derived_cl898, plain, (((inverse @ identity) = (identity))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl2229, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/1.06 (((inverse @ X0) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((X1) != (identity))
% 1.36/1.06 | ((inverse @ X1) != (identity))
% 1.36/1.06 | ((inverse @ X2) != (identity))
% 1.36/1.06 | ((X2) != (identity))
% 1.36/1.06 | ((inverse @ X3) != (identity))
% 1.36/1.06 | ((X3) != (identity))
% 1.36/1.06 | ((identity) != (identity)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl2228, zip_derived_cl898])).
% 1.36/1.06 thf(zip_derived_cl2230, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/1.06 (((X3) != (identity))
% 1.36/1.06 | ((inverse @ X3) != (identity))
% 1.36/1.06 | ((X2) != (identity))
% 1.36/1.06 | ((inverse @ X2) != (identity))
% 1.36/1.06 | ((inverse @ X1) != (identity))
% 1.36/1.06 | ((X1) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((inverse @ X0) != (identity)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2229])).
% 1.36/1.06 thf(zip_derived_cl2231, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.06 (((inverse @ X0) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((X1) != (identity))
% 1.36/1.06 | ((inverse @ X1) != (identity))
% 1.36/1.06 | ((inverse @ X2) != (identity))
% 1.36/1.06 | ((X2) != (identity))
% 1.36/1.06 | ((inverse @ identity) != (identity)))),
% 1.36/1.06 inference('eq_res', [status(thm)], [zip_derived_cl2230])).
% 1.36/1.06 thf(zip_derived_cl898, plain, (((inverse @ identity) = (identity))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl2232, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.06 (((inverse @ X0) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((X1) != (identity))
% 1.36/1.06 | ((inverse @ X1) != (identity))
% 1.36/1.06 | ((inverse @ X2) != (identity))
% 1.36/1.06 | ((X2) != (identity))
% 1.36/1.06 | ((identity) != (identity)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl2231, zip_derived_cl898])).
% 1.36/1.06 thf(zip_derived_cl2233, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.06 (((X2) != (identity))
% 1.36/1.06 | ((inverse @ X2) != (identity))
% 1.36/1.06 | ((inverse @ X1) != (identity))
% 1.36/1.06 | ((X1) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((inverse @ X0) != (identity)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2232])).
% 1.36/1.06 thf(zip_derived_cl2234, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 (((inverse @ X0) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((X1) != (identity))
% 1.36/1.06 | ((inverse @ X1) != (identity))
% 1.36/1.06 | ((inverse @ identity) != (identity)))),
% 1.36/1.06 inference('eq_res', [status(thm)], [zip_derived_cl2233])).
% 1.36/1.06 thf(zip_derived_cl898, plain, (((inverse @ identity) = (identity))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl2235, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 (((inverse @ X0) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((X1) != (identity))
% 1.36/1.06 | ((inverse @ X1) != (identity))
% 1.36/1.06 | ((identity) != (identity)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl2234, zip_derived_cl898])).
% 1.36/1.06 thf(zip_derived_cl2236, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 (((inverse @ X1) != (identity))
% 1.36/1.06 | ((X1) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((inverse @ X0) != (identity)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2235])).
% 1.36/1.06 thf(zip_derived_cl2237, plain,
% 1.36/1.06 (![X0 : $i]:
% 1.36/1.06 (((inverse @ X0) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((inverse @ identity) != (identity)))),
% 1.36/1.06 inference('eq_res', [status(thm)], [zip_derived_cl2236])).
% 1.36/1.06 thf(zip_derived_cl898, plain, (((inverse @ identity) = (identity))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl2238, plain,
% 1.36/1.06 (![X0 : $i]:
% 1.36/1.06 (((inverse @ X0) != (identity))
% 1.36/1.06 | ((inverse @ X0) != (X0))
% 1.36/1.06 | ((identity) != (identity)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl2237, zip_derived_cl898])).
% 1.36/1.06 thf(zip_derived_cl2239, plain,
% 1.36/1.06 (![X0 : $i]: (((inverse @ X0) != (X0)) | ((inverse @ X0) != (identity)))),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2238])).
% 1.36/1.06 thf(zip_derived_cl2240, plain,
% 1.36/1.06 ((((identity) != (identity)) | ((inverse @ identity) != (identity)))),
% 1.36/1.06 inference('sup-', [status(thm)], [zip_derived_cl898, zip_derived_cl2239])).
% 1.36/1.06 thf(zip_derived_cl898, plain, (((inverse @ identity) = (identity))),
% 1.36/1.06 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl1])).
% 1.36/1.06 thf(zip_derived_cl2242, plain,
% 1.36/1.06 ((((identity) != (identity)) | ((identity) != (identity)))),
% 1.36/1.06 inference('demod', [status(thm)], [zip_derived_cl2240, zip_derived_cl898])).
% 1.36/1.06 thf(zip_derived_cl2243, plain, ($false),
% 1.36/1.06 inference('simplify', [status(thm)], [zip_derived_cl2242])).
% 1.36/1.06
% 1.36/1.06 % SZS output end Refutation
% 1.36/1.06
% 1.36/1.06
% 1.36/1.06 % Terminating...
% 1.64/1.13 % Runner terminated.
% 1.79/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------