%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP366-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xzlXt6lEFw true
% Computer : n019.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 Oct 2 04:36:19 PM UTC 2025
% Result : Unsatisfiable 6.98s 1.64s
% Output : Refutation 6.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP366-1 : TPTP v9.2.0. Released v2.5.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xzlXt6lEFw true
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 14:07:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.57/0.68 % Total configuration time : 435
% 0.57/0.68 % Estimated wc time : 1092
% 0.57/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 6.98/1.64 % Solved by fo/fo7.sh.
% 6.98/1.64 % done 1201 iterations in 0.787s
% 6.98/1.64 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.98/1.64 % SZS output start Refutation
% 6.98/1.64 thf(sk_c9_type, type, sk_c9: $i).
% 6.98/1.64 thf(sk_c1_type, type, sk_c1: $i).
% 6.98/1.64 thf(sk_c5_type, type, sk_c5: $i).
% 6.98/1.64 thf(identity_type, type, identity: $i).
% 6.98/1.64 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.98/1.64 thf(sk_c10_type, type, sk_c10: $i).
% 6.98/1.64 thf(inverse_type, type, inverse: $i > $i).
% 6.98/1.64 thf(sk_c3_type, type, sk_c3: $i).
% 6.98/1.64 thf(sk_c2_type, type, sk_c2: $i).
% 6.98/1.64 thf(sk_c8_type, type, sk_c8: $i).
% 6.98/1.64 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 6.98/1.64 thf(zip_derived_cl0, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_identity])).
% 6.98/1.64 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(associativity, axiom,
% 6.98/1.64 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 6.98/1.64 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 6.98/1.64 thf(zip_derived_cl2, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.98/1.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 6.98/1.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 6.98/1.64 inference('cnf', [status(esa)], [associativity])).
% 6.98/1.64 thf(zip_derived_cl126, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((multiply @ identity @ X0)
% 6.98/1.64 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 6.98/1.64 thf(zip_derived_cl0, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_identity])).
% 6.98/1.64 thf(zip_derived_cl171, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 6.98/1.64 thf(zip_derived_cl194, plain,
% 6.98/1.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl171])).
% 6.98/1.64 thf(zip_derived_cl171, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 6.98/1.64 thf(zip_derived_cl268, plain,
% 6.98/1.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl171])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl1681, plain, (((inverse @ identity) = (identity))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl1])).
% 6.98/1.64 thf(prove_this_61, conjecture,
% 6.98/1.64 (~( ( ( multiply @ X3 @ sk_c10 ) != ( X7 ) ) |
% 6.98/1.64 ( ( inverse @ X7 ) != ( sk_c10 ) ) | ( ( inverse @ X3 ) != ( X7 ) ) |
% 6.98/1.64 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 6.98/1.64 ( ( inverse @ X2 ) != ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c10 @ sk_c8 ) != ( sk_c9 ) ) |
% 6.98/1.64 ( ( inverse @ sk_c9 ) != ( sk_c8 ) ) |
% 6.98/1.64 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 6.98/1.64 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c9 @ sk_c10 ) != ( sk_c8 ) ) |
% 6.98/1.64 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 6.98/1.64 ( ( multiply @ X6 @ sk_c8 ) != ( sk_c10 ) ) |
% 6.98/1.64 ( ( inverse @ X5 ) != ( sk_c10 ) ) |
% 6.98/1.64 ( ( multiply @ X5 @ sk_c10 ) != ( X4 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c10 @ X4 ) != ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c8 @ sk_c10 ) != ( sk_c9 ) ) ))).
% 6.98/1.64 thf(zf_stmt_0, negated_conjecture,
% 6.98/1.64 (( ( multiply @ X3 @ sk_c10 ) != ( X7 ) ) |
% 6.98/1.64 ( ( inverse @ X7 ) != ( sk_c10 ) ) | ( ( inverse @ X3 ) != ( X7 ) ) |
% 6.98/1.64 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 6.98/1.64 ( ( inverse @ X2 ) != ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c10 @ sk_c8 ) != ( sk_c9 ) ) |
% 6.98/1.64 ( ( inverse @ sk_c9 ) != ( sk_c8 ) ) |
% 6.98/1.64 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 6.98/1.64 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c9 @ sk_c10 ) != ( sk_c8 ) ) |
% 6.98/1.64 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 6.98/1.64 ( ( multiply @ X6 @ sk_c8 ) != ( sk_c10 ) ) |
% 6.98/1.64 ( ( inverse @ X5 ) != ( sk_c10 ) ) |
% 6.98/1.64 ( ( multiply @ X5 @ sk_c10 ) != ( X4 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c10 @ X4 ) != ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c8 @ sk_c10 ) != ( sk_c9 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_61])).
% 6.98/1.64 thf(zip_derived_cl63, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.98/1.64 (((multiply @ X1 @ sk_c10) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (sk_c10))
% 6.98/1.64 | ((inverse @ X1) != (X0))
% 6.98/1.64 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 6.98/1.64 | ((inverse @ X2) != (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c10 @ sk_c8) != (sk_c9))
% 6.98/1.64 | ((inverse @ sk_c9) != (sk_c8))
% 6.98/1.64 | ((inverse @ X3) != (sk_c10))
% 6.98/1.64 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c9 @ sk_c10) != (sk_c8))
% 6.98/1.64 | ((inverse @ X4) != (sk_c8))
% 6.98/1.64 | ((multiply @ X4 @ sk_c8) != (sk_c10))
% 6.98/1.64 | ((inverse @ X5) != (sk_c10))
% 6.98/1.64 | ((multiply @ X5 @ sk_c10) != (X6))
% 6.98/1.64 | ((multiply @ sk_c10 @ X6) != (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c8 @ sk_c10) != (sk_c9)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.98/1.64 thf(zip_derived_cl64, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.98/1.64 (((multiply @ X1 @ sk_c10) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (sk_c10))
% 6.98/1.64 | ((inverse @ X1) != (X0))
% 6.98/1.64 | ((multiply @ X2 @ sk_c8) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((inverse @ X2) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((multiply @ sk_c10 @ sk_c8) != (sk_c9))
% 6.98/1.64 | ((inverse @ (multiply @ sk_c8 @ sk_c10)) != (sk_c8))
% 6.98/1.64 | ((inverse @ X3) != (sk_c10))
% 6.98/1.64 | ((multiply @ X3 @ sk_c10) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((multiply @ (multiply @ sk_c8 @ sk_c10) @ sk_c10) != (sk_c8))
% 6.98/1.64 | ((inverse @ X4) != (sk_c8))
% 6.98/1.64 | ((multiply @ X4 @ sk_c8) != (sk_c10))
% 6.98/1.64 | ((inverse @ X5) != (sk_c10))
% 6.98/1.64 | ((multiply @ X5 @ sk_c10) != (X6))
% 6.98/1.64 | ((multiply @ sk_c10 @ X6) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((multiply @ sk_c8 @ sk_c10) != (sk_c9)))),
% 6.98/1.64 inference('local_rewriting', [status(thm)], [zip_derived_cl63])).
% 6.98/1.64 thf(zip_derived_cl2, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.98/1.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 6.98/1.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 6.98/1.64 inference('cnf', [status(esa)], [associativity])).
% 6.98/1.64 thf(zip_derived_cl122, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.98/1.64 (((multiply @ X1 @ sk_c10) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (sk_c10))
% 6.98/1.64 | ((inverse @ X1) != (X0))
% 6.98/1.64 | ((multiply @ X2 @ sk_c8) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((inverse @ X2) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((multiply @ sk_c10 @ sk_c8) != (sk_c9))
% 6.98/1.64 | ((inverse @ (multiply @ sk_c8 @ sk_c10)) != (sk_c8))
% 6.98/1.64 | ((inverse @ X3) != (sk_c10))
% 6.98/1.64 | ((multiply @ X3 @ sk_c10) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((multiply @ sk_c8 @ (multiply @ sk_c10 @ sk_c10)) != (sk_c8))
% 6.98/1.64 | ((inverse @ X4) != (sk_c8))
% 6.98/1.64 | ((multiply @ X4 @ sk_c8) != (sk_c10))
% 6.98/1.64 | ((inverse @ X5) != (sk_c10))
% 6.98/1.64 | ((multiply @ X5 @ sk_c10) != (X6))
% 6.98/1.64 | ((multiply @ sk_c10 @ X6) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((multiply @ sk_c8 @ sk_c10) != (sk_c9)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl2])).
% 6.98/1.64 thf(prove_this_31, conjecture,
% 6.98/1.64 (~( ( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c8 ) ) |
% 6.98/1.64 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 6.98/1.64 thf(zf_stmt_1, negated_conjecture,
% 6.98/1.64 (( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c8 ) ) |
% 6.98/1.64 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 6.98/1.64 thf(zip_derived_cl33, plain,
% 6.98/1.64 ((((multiply @ sk_c9 @ sk_c10) = (sk_c8))
% 6.98/1.64 | ((inverse @ sk_c1) = (sk_c10)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl171, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 6.98/1.64 thf(zip_derived_cl195, plain,
% 6.98/1.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl171])).
% 6.98/1.64 thf(zip_derived_cl171, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 6.98/1.64 thf(zip_derived_cl171, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 6.98/1.64 thf(zip_derived_cl192, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl171])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl195, plain,
% 6.98/1.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl171])).
% 6.98/1.64 thf(zip_derived_cl1800, plain,
% 6.98/1.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl1695, zip_derived_cl195])).
% 6.98/1.64 thf(zip_derived_cl2018, plain,
% 6.98/1.64 ((((sk_c1) = (inverse @ sk_c10))
% 6.98/1.64 | ((multiply @ sk_c9 @ sk_c10) = (sk_c8)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl1800])).
% 6.98/1.64 thf(prove_this_21, conjecture,
% 6.98/1.64 (~( ( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c8 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) ) ))).
% 6.98/1.64 thf(zf_stmt_2, negated_conjecture,
% 6.98/1.64 (( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c8 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 6.98/1.64 thf(zip_derived_cl23, plain,
% 6.98/1.64 ((((multiply @ sk_c9 @ sk_c10) = (sk_c8))
% 6.98/1.64 | ((multiply @ sk_c1 @ sk_c10) = (sk_c2)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.98/1.64 thf(zip_derived_cl6918, plain,
% 6.98/1.64 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c2))
% 6.98/1.64 | ((multiply @ sk_c9 @ sk_c10) = (sk_c8))
% 6.98/1.64 | ((multiply @ sk_c9 @ sk_c10) = (sk_c8)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl2018, zip_derived_cl23])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl6928, plain,
% 6.98/1.64 ((((identity) = (sk_c2))
% 6.98/1.64 | ((multiply @ sk_c9 @ sk_c10) = (sk_c8))
% 6.98/1.64 | ((multiply @ sk_c9 @ sk_c10) = (sk_c8)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl6918, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl6929, plain,
% 6.98/1.64 ((((multiply @ sk_c9 @ sk_c10) = (sk_c8)) | ((identity) = (sk_c2)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl6928])).
% 6.98/1.64 thf(prove_this_11, conjecture,
% 6.98/1.64 (~( ( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c8 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) ) ))).
% 6.98/1.64 thf(zf_stmt_3, negated_conjecture,
% 6.98/1.64 (( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c8 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 6.98/1.64 thf(zip_derived_cl13, plain,
% 6.98/1.64 ((((multiply @ sk_c9 @ sk_c10) = (sk_c8))
% 6.98/1.64 | ((multiply @ sk_c10 @ sk_c2) = (sk_c9)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.98/1.64 thf(zip_derived_cl6932, plain,
% 6.98/1.64 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c9 @ sk_c10) = (sk_c8))
% 6.98/1.64 | ((multiply @ sk_c9 @ sk_c10) = (sk_c8)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl6929, zip_derived_cl13])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl6960, plain,
% 6.98/1.64 ((((sk_c10) = (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c9 @ sk_c10) = (sk_c8))
% 6.98/1.64 | ((multiply @ sk_c9 @ sk_c10) = (sk_c8)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl6932, zip_derived_cl1695])).
% 6.98/1.64 thf(zip_derived_cl6961, plain,
% 6.98/1.64 ((((multiply @ sk_c9 @ sk_c10) = (sk_c8)) | ((sk_c10) = (sk_c9)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl6960])).
% 6.98/1.64 thf(zip_derived_cl171, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 6.98/1.64 thf(zip_derived_cl7016, plain,
% 6.98/1.64 ((((sk_c10) = (multiply @ (inverse @ sk_c9) @ sk_c8))
% 6.98/1.64 | ((sk_c10) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl6961, zip_derived_cl171])).
% 6.98/1.64 thf(prove_this_36, conjecture,
% 6.98/1.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 6.98/1.64 thf(zf_stmt_4, negated_conjecture,
% 6.98/1.64 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 6.98/1.64 thf(zip_derived_cl38, plain,
% 6.98/1.64 ((((inverse @ sk_c5) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c10)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl85, plain,
% 6.98/1.64 ((((multiply @ sk_c10 @ sk_c1) = (identity))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl171, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 6.98/1.64 thf(zip_derived_cl217, plain,
% 6.98/1.64 ((((sk_c1) = (multiply @ (inverse @ sk_c10) @ identity))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl171])).
% 6.98/1.64 thf(prove_this_26, conjecture,
% 6.98/1.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) ) ))).
% 6.98/1.64 thf(zf_stmt_5, negated_conjecture,
% 6.98/1.64 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 6.98/1.64 thf(zip_derived_cl28, plain,
% 6.98/1.64 ((((inverse @ sk_c5) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c10) = (sk_c2)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.98/1.64 thf(zip_derived_cl697, plain,
% 6.98/1.64 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 6.98/1.64 = (sk_c2))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl28])).
% 6.98/1.64 thf(zip_derived_cl2, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.98/1.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 6.98/1.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 6.98/1.64 inference('cnf', [status(esa)], [associativity])).
% 6.98/1.64 thf(zip_derived_cl0, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_identity])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl722, plain,
% 6.98/1.64 ((((identity) = (sk_c2))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl697, zip_derived_cl2, zip_derived_cl0,
% 6.98/1.64 zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl723, plain,
% 6.98/1.64 ((((inverse @ sk_c5) = (sk_c9)) | ((identity) = (sk_c2)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl722])).
% 6.98/1.64 thf(prove_this_16, conjecture,
% 6.98/1.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) ) ))).
% 6.98/1.64 thf(zf_stmt_6, negated_conjecture,
% 6.98/1.64 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 6.98/1.64 thf(zip_derived_cl18, plain,
% 6.98/1.64 ((((inverse @ sk_c5) = (sk_c9)) | ((multiply @ sk_c10 @ sk_c2) = (sk_c9)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_6])).
% 6.98/1.64 thf(zip_derived_cl733, plain,
% 6.98/1.64 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl723, zip_derived_cl18])).
% 6.98/1.64 thf(zip_derived_cl738, plain,
% 6.98/1.64 ((((inverse @ sk_c5) = (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl733])).
% 6.98/1.64 thf(zip_derived_cl195, plain,
% 6.98/1.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl171])).
% 6.98/1.64 thf(zip_derived_cl1522, plain,
% 6.98/1.64 ((((sk_c5) = (multiply @ (inverse @ sk_c9) @ identity))
% 6.98/1.64 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl738, zip_derived_cl195])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl1790, plain,
% 6.98/1.64 ((((sk_c5) = (inverse @ sk_c9)) | ((sk_c10) = (sk_c9)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl1522, zip_derived_cl1695, zip_derived_cl1695])).
% 6.98/1.64 thf(prove_this_37, conjecture,
% 6.98/1.64 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 6.98/1.64 thf(zf_stmt_7, negated_conjecture,
% 6.98/1.64 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 6.98/1.64 thf(zip_derived_cl39, plain,
% 6.98/1.64 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c10)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.98/1.64 thf(zip_derived_cl1800, plain,
% 6.98/1.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl1695, zip_derived_cl195])).
% 6.98/1.64 thf(zip_derived_cl2024, plain,
% 6.98/1.64 ((((sk_c1) = (inverse @ sk_c10)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl1800])).
% 6.98/1.64 thf(prove_this_27, conjecture,
% 6.98/1.64 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) ) ))).
% 6.98/1.64 thf(zf_stmt_8, negated_conjecture,
% 6.98/1.64 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 6.98/1.64 thf(zip_derived_cl29, plain,
% 6.98/1.64 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c1 @ sk_c10) = (sk_c2)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_8])).
% 6.98/1.64 thf(zip_derived_cl2855, plain,
% 6.98/1.64 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c2))
% 6.98/1.64 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl2024, zip_derived_cl29])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl2882, plain,
% 6.98/1.64 ((((identity) = (sk_c2))
% 6.98/1.64 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl2855, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl2883, plain,
% 6.98/1.64 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c2)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl2882])).
% 6.98/1.64 thf(prove_this_17, conjecture,
% 6.98/1.64 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) ) ))).
% 6.98/1.64 thf(zf_stmt_9, negated_conjecture,
% 6.98/1.64 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 6.98/1.64 thf(zip_derived_cl19, plain,
% 6.98/1.64 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c10 @ sk_c2) = (sk_c9)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.98/1.64 thf(zip_derived_cl6433, plain,
% 6.98/1.64 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl2883, zip_derived_cl19])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl6448, plain,
% 6.98/1.64 ((((sk_c10) = (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl6433, zip_derived_cl1695])).
% 6.98/1.64 thf(zip_derived_cl6449, plain,
% 6.98/1.64 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl6448])).
% 6.98/1.64 thf(zip_derived_cl6456, plain,
% 6.98/1.64 ((((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9))
% 6.98/1.64 | ((sk_c10) = (sk_c9))
% 6.98/1.64 | ((sk_c10) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl1790, zip_derived_cl6449])).
% 6.98/1.64 thf(zip_derived_cl6459, plain,
% 6.98/1.64 ((((sk_c10) = (sk_c9))
% 6.98/1.64 | ((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl6456])).
% 6.98/1.64 thf(zip_derived_cl7182, plain,
% 6.98/1.64 ((((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl7016, zip_derived_cl6459])).
% 6.98/1.64 thf(zip_derived_cl7221, plain, (((sk_c10) = (sk_c9))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7182])).
% 6.98/1.64 thf(zip_derived_cl7221, plain, (((sk_c10) = (sk_c9))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7182])).
% 6.98/1.64 thf(zip_derived_cl7279, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.98/1.64 (((multiply @ X1 @ sk_c10) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (sk_c10))
% 6.98/1.64 | ((inverse @ X1) != (X0))
% 6.98/1.64 | ((multiply @ X2 @ sk_c8) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((inverse @ X2) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((multiply @ sk_c10 @ sk_c8) != (sk_c10))
% 6.98/1.64 | ((inverse @ (multiply @ sk_c8 @ sk_c10)) != (sk_c8))
% 6.98/1.64 | ((inverse @ X3) != (sk_c10))
% 6.98/1.64 | ((multiply @ X3 @ sk_c10) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((multiply @ sk_c8 @ (multiply @ sk_c10 @ sk_c10)) != (sk_c8))
% 6.98/1.64 | ((inverse @ X4) != (sk_c8))
% 6.98/1.64 | ((multiply @ X4 @ sk_c8) != (sk_c10))
% 6.98/1.64 | ((inverse @ X5) != (sk_c10))
% 6.98/1.64 | ((multiply @ X5 @ sk_c10) != (X6))
% 6.98/1.64 | ((multiply @ sk_c10 @ X6) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((multiply @ sk_c8 @ sk_c10) != (sk_c10)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl122, zip_derived_cl7221, zip_derived_cl7221])).
% 6.98/1.64 thf(zip_derived_cl7280, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.98/1.64 (((multiply @ X1 @ sk_c10) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (sk_c10))
% 6.98/1.64 | ((inverse @ X1) != (X0))
% 6.98/1.64 | ((multiply @ X2 @ sk_c8) != (sk_c10))
% 6.98/1.64 | ((inverse @ X2) != (sk_c10))
% 6.98/1.64 | ((multiply @ sk_c10 @ sk_c8) != (sk_c10))
% 6.98/1.64 | ((inverse @ sk_c10) != (sk_c8))
% 6.98/1.64 | ((inverse @ X3) != (sk_c10))
% 6.98/1.64 | ((multiply @ X3 @ sk_c10) != (sk_c10))
% 6.98/1.64 | ((multiply @ sk_c8 @ (multiply @ sk_c10 @ sk_c10)) != (sk_c8))
% 6.98/1.64 | ((inverse @ X4) != (sk_c8))
% 6.98/1.64 | ((multiply @ X4 @ sk_c8) != (sk_c10))
% 6.98/1.64 | ((inverse @ X5) != (sk_c10))
% 6.98/1.64 | ((multiply @ X5 @ sk_c10) != (X6))
% 6.98/1.64 | ((multiply @ sk_c10 @ X6) != (sk_c10))
% 6.98/1.64 | ((multiply @ sk_c8 @ sk_c10) != (sk_c10)))),
% 6.98/1.64 inference('local_rewriting', [status(thm)], [zip_derived_cl7279])).
% 6.98/1.64 thf(prove_this_56, conjecture,
% 6.98/1.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) ))).
% 6.98/1.64 thf(zf_stmt_10, negated_conjecture,
% 6.98/1.64 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c8 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_56])).
% 6.98/1.64 thf(zip_derived_cl58, plain,
% 6.98/1.64 ((((inverse @ sk_c5) = (sk_c9)) | ((inverse @ sk_c3) = (sk_c8)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_10])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl89, plain,
% 6.98/1.64 ((((multiply @ sk_c8 @ sk_c3) = (identity))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl171, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 6.98/1.64 thf(zip_derived_cl201, plain,
% 6.98/1.64 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl171])).
% 6.98/1.64 thf(prove_this_46, conjecture,
% 6.98/1.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c10 ) ) ))).
% 6.98/1.64 thf(zf_stmt_11, negated_conjecture,
% 6.98/1.64 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c10 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_46])).
% 6.98/1.64 thf(zip_derived_cl48, plain,
% 6.98/1.64 ((((inverse @ sk_c5) = (sk_c9)) | ((multiply @ sk_c3 @ sk_c8) = (sk_c10)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_11])).
% 6.98/1.64 thf(zip_derived_cl413, plain,
% 6.98/1.64 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 6.98/1.64 = (sk_c10))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl48])).
% 6.98/1.64 thf(zip_derived_cl2, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.98/1.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 6.98/1.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 6.98/1.64 inference('cnf', [status(esa)], [associativity])).
% 6.98/1.64 thf(zip_derived_cl0, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_identity])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl437, plain,
% 6.98/1.64 ((((identity) = (sk_c10))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9))
% 6.98/1.64 | ((inverse @ sk_c5) = (sk_c9)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl413, zip_derived_cl2, zip_derived_cl0,
% 6.98/1.64 zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl438, plain,
% 6.98/1.64 ((((inverse @ sk_c5) = (sk_c9)) | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl437])).
% 6.98/1.64 thf(prove_this_54, conjecture,
% 6.98/1.64 (~( ( ( inverse @ sk_c9 ) = ( sk_c8 ) ) |
% 6.98/1.64 ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) ))).
% 6.98/1.64 thf(zf_stmt_12, negated_conjecture,
% 6.98/1.64 (( ( inverse @ sk_c9 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c8 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_54])).
% 6.98/1.64 thf(zip_derived_cl56, plain,
% 6.98/1.64 ((((inverse @ sk_c9) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c8)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_12])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl88, plain,
% 6.98/1.64 ((((multiply @ sk_c8 @ sk_c3) = (identity))
% 6.98/1.64 | ((inverse @ sk_c9) = (sk_c8)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl171, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 6.98/1.64 thf(zip_derived_cl200, plain,
% 6.98/1.64 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 6.98/1.64 | ((inverse @ sk_c9) = (sk_c8)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl171])).
% 6.98/1.64 thf(prove_this_44, conjecture,
% 6.98/1.64 (~( ( ( inverse @ sk_c9 ) = ( sk_c8 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c10 ) ) ))).
% 6.98/1.64 thf(zf_stmt_13, negated_conjecture,
% 6.98/1.64 (( ( inverse @ sk_c9 ) = ( sk_c8 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c10 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_44])).
% 6.98/1.64 thf(zip_derived_cl46, plain,
% 6.98/1.64 ((((inverse @ sk_c9) = (sk_c8)) | ((multiply @ sk_c3 @ sk_c8) = (sk_c10)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_13])).
% 6.98/1.64 thf(zip_derived_cl461, plain,
% 6.98/1.64 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 6.98/1.64 = (sk_c10))
% 6.98/1.64 | ((inverse @ sk_c9) = (sk_c8))
% 6.98/1.64 | ((inverse @ sk_c9) = (sk_c8)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl200, zip_derived_cl46])).
% 6.98/1.64 thf(zip_derived_cl2, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.98/1.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 6.98/1.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 6.98/1.64 inference('cnf', [status(esa)], [associativity])).
% 6.98/1.64 thf(zip_derived_cl0, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_identity])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl485, plain,
% 6.98/1.64 ((((identity) = (sk_c10))
% 6.98/1.64 | ((inverse @ sk_c9) = (sk_c8))
% 6.98/1.64 | ((inverse @ sk_c9) = (sk_c8)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl461, zip_derived_cl2, zip_derived_cl0,
% 6.98/1.64 zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl486, plain,
% 6.98/1.64 ((((inverse @ sk_c9) = (sk_c8)) | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl485])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl494, plain,
% 6.98/1.64 ((((multiply @ sk_c8 @ sk_c9) = (identity)) | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl486, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl171, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 6.98/1.64 thf(zip_derived_cl639, plain,
% 6.98/1.64 ((((sk_c9) = (multiply @ (inverse @ sk_c8) @ identity))
% 6.98/1.64 | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl171])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl1766, plain,
% 6.98/1.64 ((((sk_c9) = (inverse @ sk_c8)) | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl639, zip_derived_cl1695])).
% 6.98/1.64 thf(zip_derived_cl438, plain,
% 6.98/1.64 ((((inverse @ sk_c5) = (sk_c9)) | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl437])).
% 6.98/1.64 thf(zip_derived_cl1800, plain,
% 6.98/1.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl1695, zip_derived_cl195])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl1996, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl1800, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl2812, plain,
% 6.98/1.64 ((((multiply @ sk_c5 @ sk_c9) = (identity)) | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl1996])).
% 6.98/1.64 thf(zip_derived_cl3791, plain,
% 6.98/1.64 ((((multiply @ sk_c5 @ (inverse @ sk_c8)) = (identity))
% 6.98/1.64 | ((identity) = (sk_c10))
% 6.98/1.64 | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl1766, zip_derived_cl2812])).
% 6.98/1.64 thf(zip_derived_cl3803, plain,
% 6.98/1.64 ((((identity) = (sk_c10))
% 6.98/1.64 | ((multiply @ sk_c5 @ (inverse @ sk_c8)) = (identity)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl3791])).
% 6.98/1.64 thf(zip_derived_cl171, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl0])).
% 6.98/1.64 thf(zip_derived_cl5123, plain,
% 6.98/1.64 ((((inverse @ sk_c8) = (multiply @ (inverse @ sk_c5) @ identity))
% 6.98/1.64 | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl3803, zip_derived_cl171])).
% 6.98/1.64 thf(zip_derived_cl5782, plain,
% 6.98/1.64 ((((inverse @ sk_c8) = (multiply @ sk_c9 @ identity))
% 6.98/1.64 | ((identity) = (sk_c10))
% 6.98/1.64 | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl5123])).
% 6.98/1.64 thf(zip_derived_cl5790, plain,
% 6.98/1.64 ((((identity) = (sk_c10))
% 6.98/1.64 | ((inverse @ sk_c8) = (multiply @ sk_c9 @ identity)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl5782])).
% 6.98/1.64 thf(zip_derived_cl7221, plain, (((sk_c10) = (sk_c9))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7182])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl7346, plain,
% 6.98/1.64 ((((identity) = (sk_c10)) | ((inverse @ sk_c8) = (sk_c10)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl5790, zip_derived_cl7221, zip_derived_cl1695])).
% 6.98/1.64 thf(zip_derived_cl7346, plain,
% 6.98/1.64 ((((identity) = (sk_c10)) | ((inverse @ sk_c8) = (sk_c10)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl5790, zip_derived_cl7221, zip_derived_cl1695])).
% 6.98/1.64 thf(prove_this_5, conjecture,
% 6.98/1.64 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c8 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 6.98/1.64 thf(zf_stmt_14, negated_conjecture,
% 6.98/1.64 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 6.98/1.64 ( ( multiply @ sk_c8 @ sk_c10 ) = ( sk_c9 ) )),
% 6.98/1.64 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 6.98/1.64 thf(zip_derived_cl7, plain,
% 6.98/1.64 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 6.98/1.64 | ((multiply @ sk_c8 @ sk_c10) = (sk_c9)))),
% 6.98/1.64 inference('cnf', [status(esa)], [zf_stmt_14])).
% 6.98/1.64 thf(zip_derived_cl71, plain,
% 6.98/1.64 ((((multiply @ sk_c10 @ sk_c8) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((multiply @ sk_c8 @ sk_c10) = (sk_c9)))),
% 6.98/1.64 inference('eq_fact', [status(thm)], [zip_derived_cl7])).
% 6.98/1.64 thf(zip_derived_cl7221, plain, (((sk_c10) = (sk_c9))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7182])).
% 6.98/1.64 thf(zip_derived_cl7264, plain,
% 6.98/1.64 ((((multiply @ sk_c10 @ sk_c8) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((multiply @ sk_c8 @ sk_c10) = (sk_c10)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl7221])).
% 6.98/1.64 thf(zip_derived_cl7436, plain,
% 6.98/1.64 ((((multiply @ (inverse @ sk_c8) @ sk_c8) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((identity) = (sk_c10))
% 6.98/1.64 | ((multiply @ sk_c8 @ sk_c10) = (sk_c10)))),
% 6.98/1.64 inference('sup-', [status(thm)], [zip_derived_cl7346, zip_derived_cl7264])).
% 6.98/1.64 thf(zip_derived_cl1, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_inverse])).
% 6.98/1.64 thf(zip_derived_cl7471, plain,
% 6.98/1.64 ((((identity) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((identity) = (sk_c10))
% 6.98/1.64 | ((multiply @ sk_c8 @ sk_c10) = (sk_c10)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl7436, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl7472, plain,
% 6.98/1.64 ((((identity) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((identity) = (sk_c10))
% 6.98/1.64 | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('local_rewriting', [status(thm)], [zip_derived_cl7471])).
% 6.98/1.64 thf(zip_derived_cl7473, plain,
% 6.98/1.64 ((((identity) = (sk_c10)) | ((identity) != (multiply @ sk_c8 @ sk_c10)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7472])).
% 6.98/1.64 thf(zip_derived_cl7477, plain,
% 6.98/1.64 ((((identity) != (multiply @ sk_c8 @ (inverse @ sk_c8)))
% 6.98/1.64 | ((identity) = (sk_c10))
% 6.98/1.64 | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('sup-', [status(thm)], [zip_derived_cl7346, zip_derived_cl7473])).
% 6.98/1.64 thf(zip_derived_cl1996, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl1800, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl7479, plain,
% 6.98/1.64 ((((identity) != (identity))
% 6.98/1.64 | ((identity) = (sk_c10))
% 6.98/1.64 | ((identity) = (sk_c10)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl7477, zip_derived_cl1996])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl0, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_identity])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl1681, plain, (((inverse @ identity) = (identity))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl0, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_identity])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl0, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_identity])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl7543, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.98/1.64 (((X1) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (X0))
% 6.98/1.64 | ((multiply @ X2 @ sk_c8) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (identity))
% 6.98/1.64 | ((sk_c8) != (identity))
% 6.98/1.64 | ((identity) != (sk_c8))
% 6.98/1.64 | ((inverse @ X3) != (identity))
% 6.98/1.64 | ((X3) != (identity))
% 6.98/1.64 | ((sk_c8) != (sk_c8))
% 6.98/1.64 | ((inverse @ X4) != (sk_c8))
% 6.98/1.64 | ((multiply @ X4 @ sk_c8) != (identity))
% 6.98/1.64 | ((inverse @ X5) != (identity))
% 6.98/1.64 | ((X5) != (X6))
% 6.98/1.64 | ((X6) != (identity))
% 6.98/1.64 | ((sk_c8) != (identity)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl7280, zip_derived_cl7480, zip_derived_cl1695,
% 6.98/1.64 zip_derived_cl7480, zip_derived_cl7480, zip_derived_cl7480,
% 6.98/1.64 zip_derived_cl7480, zip_derived_cl0, zip_derived_cl7480,
% 6.98/1.64 zip_derived_cl7480, zip_derived_cl1681, zip_derived_cl7480,
% 6.98/1.64 zip_derived_cl7480, zip_derived_cl1695, zip_derived_cl7480,
% 6.98/1.64 zip_derived_cl7480, zip_derived_cl7480, zip_derived_cl0,
% 6.98/1.64 zip_derived_cl1695, zip_derived_cl7480, zip_derived_cl7480,
% 6.98/1.64 zip_derived_cl7480, zip_derived_cl1695, zip_derived_cl7480,
% 6.98/1.64 zip_derived_cl0, zip_derived_cl7480, zip_derived_cl7480,
% 6.98/1.64 zip_derived_cl1695, zip_derived_cl7480])).
% 6.98/1.64 thf(zip_derived_cl7544, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.98/1.64 (((X6) != (identity))
% 6.98/1.64 | ((X5) != (X6))
% 6.98/1.64 | ((inverse @ X5) != (identity))
% 6.98/1.64 | ((multiply @ X4 @ sk_c8) != (identity))
% 6.98/1.64 | ((inverse @ X4) != (sk_c8))
% 6.98/1.64 | ((X3) != (identity))
% 6.98/1.64 | ((inverse @ X3) != (identity))
% 6.98/1.64 | ((sk_c8) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (identity))
% 6.98/1.64 | ((multiply @ X2 @ sk_c8) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((X1) != (X0)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7543])).
% 6.98/1.64 thf(zip_derived_cl7545, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.98/1.64 (((X6) != (identity))
% 6.98/1.64 | ((X5) != (X6))
% 6.98/1.64 | ((inverse @ X5) != (identity))
% 6.98/1.64 | ((multiply @ X4 @ identity) != (identity))
% 6.98/1.64 | ((inverse @ X4) != (identity))
% 6.98/1.64 | ((X3) != (identity))
% 6.98/1.64 | ((inverse @ X3) != (identity))
% 6.98/1.64 | ((sk_c8) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (identity))
% 6.98/1.64 | ((multiply @ X2 @ identity) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((X1) != (X0)))),
% 6.98/1.64 inference('local_rewriting', [status(thm)], [zip_derived_cl7544])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl7546, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.98/1.64 (((X6) != (identity))
% 6.98/1.64 | ((X5) != (X6))
% 6.98/1.64 | ((inverse @ X5) != (identity))
% 6.98/1.64 | ((X4) != (identity))
% 6.98/1.64 | ((inverse @ X4) != (identity))
% 6.98/1.64 | ((X3) != (identity))
% 6.98/1.64 | ((inverse @ X3) != (identity))
% 6.98/1.64 | ((sk_c8) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (identity))
% 6.98/1.64 | ((X2) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((X1) != (X0)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl7545, zip_derived_cl1695, zip_derived_cl1695])).
% 6.98/1.64 thf(zip_derived_cl7264, plain,
% 6.98/1.64 ((((multiply @ sk_c10 @ sk_c8) != (multiply @ sk_c8 @ sk_c10))
% 6.98/1.64 | ((multiply @ sk_c8 @ sk_c10) = (sk_c10)))),
% 6.98/1.64 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl7221])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl0, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.98/1.64 inference('cnf', [status(esa)], [left_identity])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl1695, plain,
% 6.98/1.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl192])).
% 6.98/1.64 thf(zip_derived_cl7480, plain, (((identity) = (sk_c10))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7479])).
% 6.98/1.64 thf(zip_derived_cl7541, plain,
% 6.98/1.64 ((((sk_c8) != (sk_c8)) | ((sk_c8) = (identity)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl7264, zip_derived_cl7480, zip_derived_cl0,
% 6.98/1.64 zip_derived_cl7480, zip_derived_cl1695, zip_derived_cl7480,
% 6.98/1.64 zip_derived_cl1695, zip_derived_cl7480])).
% 6.98/1.64 thf(zip_derived_cl7542, plain, (((sk_c8) = (identity))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7541])).
% 6.98/1.64 thf(zip_derived_cl7562, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.98/1.64 (((X6) != (identity))
% 6.98/1.64 | ((X5) != (X6))
% 6.98/1.64 | ((inverse @ X5) != (identity))
% 6.98/1.64 | ((X4) != (identity))
% 6.98/1.64 | ((inverse @ X4) != (identity))
% 6.98/1.64 | ((X3) != (identity))
% 6.98/1.64 | ((inverse @ X3) != (identity))
% 6.98/1.64 | ((identity) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (identity))
% 6.98/1.64 | ((X2) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((X1) != (X0)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl7546, zip_derived_cl7542])).
% 6.98/1.64 thf(zip_derived_cl7563, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.98/1.64 (((X1) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (X0))
% 6.98/1.64 | ((X2) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (identity))
% 6.98/1.64 | ((inverse @ X3) != (identity))
% 6.98/1.64 | ((X3) != (identity))
% 6.98/1.64 | ((inverse @ X4) != (identity))
% 6.98/1.64 | ((X4) != (identity))
% 6.98/1.64 | ((inverse @ X5) != (identity))
% 6.98/1.64 | ((X5) != (X6))
% 6.98/1.64 | ((X6) != (identity)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7562])).
% 6.98/1.64 thf(zip_derived_cl7564, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.98/1.64 (((X0) != (identity))
% 6.98/1.64 | ((X1) != (X0))
% 6.98/1.64 | ((inverse @ X1) != (identity))
% 6.98/1.64 | ((X2) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (identity))
% 6.98/1.64 | ((X3) != (identity))
% 6.98/1.64 | ((inverse @ X3) != (identity))
% 6.98/1.64 | ((inverse @ X4) != (identity))
% 6.98/1.64 | ((X4) != (identity))
% 6.98/1.64 | ((inverse @ X5) != (X5))
% 6.98/1.64 | ((inverse @ X5) != (identity)))),
% 6.98/1.64 inference('eq_res', [status(thm)], [zip_derived_cl7563])).
% 6.98/1.64 thf(zip_derived_cl7565, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.98/1.64 (((inverse @ X0) != (identity))
% 6.98/1.64 | ((inverse @ X0) != (X0))
% 6.98/1.64 | ((X1) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (identity))
% 6.98/1.64 | ((X2) != (identity))
% 6.98/1.64 | ((inverse @ X3) != (identity))
% 6.98/1.64 | ((X3) != (identity))
% 6.98/1.64 | ((inverse @ X4) != (identity))
% 6.98/1.64 | ((X4) != (identity)))),
% 6.98/1.64 inference('eq_res', [status(thm)], [zip_derived_cl7564])).
% 6.98/1.64 thf(zip_derived_cl7566, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.98/1.64 (((X0) != (identity))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((X1) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (identity))
% 6.98/1.64 | ((X2) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (identity))
% 6.98/1.64 | ((inverse @ identity) != (identity))
% 6.98/1.64 | ((inverse @ X3) != (X3))
% 6.98/1.64 | ((inverse @ X3) != (identity)))),
% 6.98/1.64 inference('eq_res', [status(thm)], [zip_derived_cl7565])).
% 6.98/1.64 thf(zip_derived_cl1681, plain, (((inverse @ identity) = (identity))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl7567, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.98/1.64 (((X0) != (identity))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((X1) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (identity))
% 6.98/1.64 | ((X2) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (identity))
% 6.98/1.64 | ((identity) != (identity))
% 6.98/1.64 | ((inverse @ X3) != (X3))
% 6.98/1.64 | ((inverse @ X3) != (identity)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl7566, zip_derived_cl1681])).
% 6.98/1.64 thf(zip_derived_cl7568, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.98/1.64 (((inverse @ X3) != (identity))
% 6.98/1.64 | ((inverse @ X3) != (X3))
% 6.98/1.64 | ((inverse @ X2) != (identity))
% 6.98/1.64 | ((X2) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (identity))
% 6.98/1.64 | ((X1) != (identity))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((X0) != (identity)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7567])).
% 6.98/1.64 thf(zip_derived_cl7569, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.98/1.64 (((X0) != (identity))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((X1) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (identity))
% 6.98/1.64 | ((inverse @ identity) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (X2))
% 6.98/1.64 | ((inverse @ X2) != (identity)))),
% 6.98/1.64 inference('eq_res', [status(thm)], [zip_derived_cl7568])).
% 6.98/1.64 thf(zip_derived_cl1681, plain, (((inverse @ identity) = (identity))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl7570, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.98/1.64 (((X0) != (identity))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((X1) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (identity))
% 6.98/1.64 | ((identity) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (X2))
% 6.98/1.64 | ((inverse @ X2) != (identity)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl7569, zip_derived_cl1681])).
% 6.98/1.64 thf(zip_derived_cl7571, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.98/1.64 (((inverse @ X2) != (identity))
% 6.98/1.64 | ((inverse @ X2) != (X2))
% 6.98/1.64 | ((inverse @ X1) != (identity))
% 6.98/1.64 | ((X1) != (identity))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((X0) != (identity)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7570])).
% 6.98/1.64 thf(zip_derived_cl7572, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 (((X0) != (identity))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((inverse @ identity) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (X1))
% 6.98/1.64 | ((inverse @ X1) != (identity)))),
% 6.98/1.64 inference('eq_res', [status(thm)], [zip_derived_cl7571])).
% 6.98/1.64 thf(zip_derived_cl1681, plain, (((inverse @ identity) = (identity))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl7573, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 (((X0) != (identity))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((identity) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (X1))
% 6.98/1.64 | ((inverse @ X1) != (identity)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl7572, zip_derived_cl1681])).
% 6.98/1.64 thf(zip_derived_cl7574, plain,
% 6.98/1.64 (![X0 : $i, X1 : $i]:
% 6.98/1.64 (((inverse @ X1) != (identity))
% 6.98/1.64 | ((inverse @ X1) != (X1))
% 6.98/1.64 | ((inverse @ X0) != (identity))
% 6.98/1.64 | ((X0) != (identity)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7573])).
% 6.98/1.64 thf(zip_derived_cl7628, plain,
% 6.98/1.64 (![X0 : $i]:
% 6.98/1.64 (((inverse @ identity) != (identity))
% 6.98/1.64 | ((inverse @ X0) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (identity)))),
% 6.98/1.64 inference('eq_res', [status(thm)], [zip_derived_cl7574])).
% 6.98/1.64 thf(zip_derived_cl1681, plain, (((inverse @ identity) = (identity))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl7629, plain,
% 6.98/1.64 (![X0 : $i]:
% 6.98/1.64 (((identity) != (identity))
% 6.98/1.64 | ((inverse @ X0) != (X0))
% 6.98/1.64 | ((inverse @ X0) != (identity)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl7628, zip_derived_cl1681])).
% 6.98/1.64 thf(zip_derived_cl7630, plain,
% 6.98/1.64 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((inverse @ X0) != (X0)))),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7629])).
% 6.98/1.64 thf(zip_derived_cl7631, plain,
% 6.98/1.64 ((((identity) != (identity)) | ((inverse @ identity) != (identity)))),
% 6.98/1.64 inference('sup-', [status(thm)], [zip_derived_cl1681, zip_derived_cl7630])).
% 6.98/1.64 thf(zip_derived_cl1681, plain, (((inverse @ identity) = (identity))),
% 6.98/1.64 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl1])).
% 6.98/1.64 thf(zip_derived_cl7635, plain,
% 6.98/1.64 ((((identity) != (identity)) | ((identity) != (identity)))),
% 6.98/1.64 inference('demod', [status(thm)],
% 6.98/1.64 [zip_derived_cl7631, zip_derived_cl1681])).
% 6.98/1.64 thf(zip_derived_cl7636, plain, ($false),
% 6.98/1.64 inference('simplify', [status(thm)], [zip_derived_cl7635])).
% 6.98/1.64
% 6.98/1.64 % SZS output end Refutation
% 6.98/1.64
% 6.98/1.64
% 6.98/1.64 % Terminating...
% 7.36/1.70 % Runner terminated.
% 7.36/1.72 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------