%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP314-1 : 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.DEOivT251B true
% Computer : n008.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 04:36:12 PM UTC 2025
% Result : Unsatisfiable 0.54s 0.95s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP314-1 : TPTP v9.2.0. Released v2.5.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DEOivT251B true
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 14:06:53 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.20/0.61 % Total configuration time : 435
% 0.20/0.61 % Estimated wc time : 1092
% 0.20/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.95 % Solved by fo/fo7.sh.
% 0.54/0.95 % done 386 iterations in 0.191s
% 0.54/0.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.95 % SZS output start Refutation
% 0.54/0.95 thf(sk_c2_type, type, sk_c2: $i).
% 0.54/0.95 thf(sk_c6_type, type, sk_c6: $i).
% 0.54/0.95 thf(sk_c5_type, type, sk_c5: $i).
% 0.54/0.95 thf(sk_c4_type, type, sk_c4: $i).
% 0.54/0.95 thf(identity_type, type, identity: $i).
% 0.54/0.95 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.95 thf(sk_c8_type, type, sk_c8: $i).
% 0.54/0.95 thf(inverse_type, type, inverse: $i > $i).
% 0.54/0.95 thf(sk_c1_type, type, sk_c1: $i).
% 0.54/0.95 thf(sk_c3_type, type, sk_c3: $i).
% 0.54/0.95 thf(sk_c7_type, type, sk_c7: $i).
% 0.54/0.95 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(associativity, axiom,
% 0.54/0.95 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.54/0.95 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.54/0.95 thf(zip_derived_cl2, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.95 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.95 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.95 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.95 thf(zip_derived_cl76, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((multiply @ identity @ X0)
% 0.54/0.95 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.54/0.95 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl105, plain,
% 0.54/0.95 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl90])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl102, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl90])).
% 0.54/0.95 thf(zip_derived_cl422, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 0.54/0.95 thf(zip_derived_cl105, plain,
% 0.54/0.95 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl90])).
% 0.54/0.95 thf(zip_derived_cl466, plain,
% 0.54/0.95 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl422, zip_derived_cl105])).
% 0.54/0.95 thf(prove_this_26, conjecture,
% 0.54/0.95 (~( ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.54/0.95 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.54/0.95 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.54/0.95 ( ( inverse @ X5 ) != ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ X5 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.54/0.95 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.54/0.95 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.54/0.95 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) ))).
% 0.54/0.95 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.95 (( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.54/0.95 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.54/0.95 ( ( inverse @ X1 ) != ( sk_c8 ) ) | ( ( inverse @ X5 ) != ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ X5 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.54/0.95 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.54/0.95 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.54/0.95 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.54/0.95 thf(zip_derived_cl28, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.95 (((multiply @ X0 @ sk_c6) != (sk_c7))
% 0.54/0.95 | ((inverse @ X0) != (sk_c7))
% 0.54/0.95 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X1) != (sk_c8))
% 0.54/0.95 | ((inverse @ X2) != (sk_c7))
% 0.54/0.95 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X3) != (sk_c7))
% 0.54/0.95 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.54/0.95 | ((inverse @ X4) != (sk_c8))
% 0.54/0.95 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.54/0.95 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.95 thf(zip_derived_cl29, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.95 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7))
% 0.54/0.95 | ((inverse @ X0) != (sk_c7))
% 0.54/0.95 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X1) != (sk_c8))
% 0.54/0.95 | ((inverse @ X2) != (sk_c7))
% 0.54/0.95 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X3) != (sk_c7))
% 0.54/0.95 | ((multiply @ X3 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 0.54/0.95 | ((inverse @ X4) != (sk_c8))
% 0.54/0.95 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.54/0.95 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 0.54/0.95 inference('local_rewriting', [status(thm)], [zip_derived_cl28])).
% 0.54/0.95 thf(prove_this_1, conjecture, (( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ))).
% 0.54/0.95 thf(zf_stmt_1, negated_conjecture,
% 0.54/0.95 (( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.54/0.95 thf(zip_derived_cl3, plain, (((multiply @ sk_c7 @ sk_c8) = (sk_c6))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.95 thf(zip_derived_cl30, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.95 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7))
% 0.54/0.95 | ((inverse @ X0) != (sk_c7))
% 0.54/0.95 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X1) != (sk_c8))
% 0.54/0.95 | ((inverse @ X2) != (sk_c7))
% 0.54/0.95 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X3) != (sk_c7))
% 0.54/0.95 | ((multiply @ X3 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 0.54/0.95 | ((inverse @ X4) != (sk_c8))
% 0.54/0.95 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.54/0.95 | ((multiply @ sk_c7 @ sk_c8) != (multiply @ sk_c7 @ sk_c8)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl3])).
% 0.54/0.95 thf(zip_derived_cl31, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.95 (((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.54/0.95 | ((inverse @ X4) != (sk_c8))
% 0.54/0.95 | ((multiply @ X3 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 0.54/0.95 | ((inverse @ X3) != (sk_c7))
% 0.54/0.95 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X2) != (sk_c7))
% 0.54/0.95 | ((inverse @ X1) != (sk_c8))
% 0.54/0.95 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X0) != (sk_c7))
% 0.54/0.95 | ((multiply @ X0 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl30])).
% 0.54/0.95 thf(zip_derived_cl474, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.95 (((X0) != (sk_c8))
% 0.54/0.95 | ((multiply @ X1 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7))
% 0.54/0.95 | ((inverse @ X1) != (sk_c7))
% 0.54/0.95 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X2) != (sk_c8))
% 0.54/0.95 | ((inverse @ X3) != (sk_c7))
% 0.54/0.95 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X4) != (sk_c7))
% 0.54/0.95 | ((multiply @ X4 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 0.54/0.95 | ((multiply @ (inverse @ X0) @ sk_c8) != (sk_c7)))),
% 0.54/0.95 inference('sup-', [status(thm)], [zip_derived_cl466, zip_derived_cl31])).
% 0.54/0.95 thf(zip_derived_cl575, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.95 (((multiply @ (inverse @ sk_c8) @ sk_c8) != (sk_c7))
% 0.54/0.95 | ((multiply @ X0 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 0.54/0.95 | ((inverse @ X0) != (sk_c7))
% 0.54/0.95 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X1) != (sk_c7))
% 0.54/0.95 | ((inverse @ X2) != (sk_c8))
% 0.54/0.95 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X3) != (sk_c7))
% 0.54/0.95 | ((multiply @ X3 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7)))),
% 0.54/0.95 inference('eq_res', [status(thm)], [zip_derived_cl474])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl576, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.95 (((identity) != (sk_c7))
% 0.54/0.95 | ((multiply @ X0 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 0.54/0.95 | ((inverse @ X0) != (sk_c7))
% 0.54/0.95 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X1) != (sk_c7))
% 0.54/0.95 | ((inverse @ X2) != (sk_c8))
% 0.54/0.95 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.54/0.95 | ((inverse @ X3) != (sk_c7))
% 0.54/0.95 | ((multiply @ X3 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl575, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl577, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.95 (((identity) != (sk_c7))
% 0.54/0.95 | ((multiply @ X0 @ identity) != (multiply @ identity @ sk_c8))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((multiply @ X1 @ identity) != (sk_c8))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((inverse @ X2) != (sk_c8))
% 0.54/0.95 | ((multiply @ X2 @ identity) != (sk_c8))
% 0.54/0.95 | ((inverse @ X3) != (identity))
% 0.54/0.95 | ((multiply @ X3 @ (multiply @ identity @ sk_c8)) != (identity)))),
% 0.54/0.95 inference('local_rewriting', [status(thm)], [zip_derived_cl576])).
% 0.54/0.95 thf(zip_derived_cl422, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl422, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 0.54/0.95 thf(zip_derived_cl422, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl578, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.95 (((identity) != (sk_c7))
% 0.54/0.95 | ((X0) != (sk_c8))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X1) != (sk_c8))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((inverse @ X2) != (sk_c8))
% 0.54/0.95 | ((X2) != (sk_c8))
% 0.54/0.95 | ((inverse @ X3) != (identity))
% 0.54/0.95 | ((multiply @ X3 @ sk_c8) != (identity)))),
% 0.54/0.95 inference('demod', [status(thm)],
% 0.54/0.95 [zip_derived_cl577, zip_derived_cl422, zip_derived_cl0,
% 0.54/0.95 zip_derived_cl422, zip_derived_cl422, zip_derived_cl0])).
% 0.54/0.95 thf(prove_this_8, conjecture,
% 0.54/0.95 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.54/0.95 thf(zf_stmt_2, negated_conjecture,
% 0.54/0.95 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.54/0.95 thf(zip_derived_cl10, plain,
% 0.54/0.95 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl35, plain,
% 0.54/0.95 ((((multiply @ sk_c7 @ sk_c5) = (identity))
% 0.54/0.95 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl107, plain,
% 0.54/0.95 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.95 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl90])).
% 0.54/0.95 thf(prove_this_9, conjecture,
% 0.54/0.95 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.54/0.95 thf(zf_stmt_3, negated_conjecture,
% 0.54/0.95 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.54/0.95 thf(zip_derived_cl11, plain,
% 0.54/0.95 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.95 thf(zip_derived_cl3, plain, (((multiply @ sk_c7 @ sk_c8) = (sk_c6))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.95 thf(zip_derived_cl63, plain,
% 0.54/0.95 ((((multiply @ sk_c5 @ (multiply @ sk_c7 @ sk_c8)) = (sk_c7))
% 0.54/0.95 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 0.54/0.95 thf(zip_derived_cl138, plain,
% 0.54/0.95 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @
% 0.54/0.95 (multiply @ sk_c7 @ sk_c8)) = (sk_c7))
% 0.54/0.95 | ((inverse @ sk_c1) = (sk_c8))
% 0.54/0.95 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl63])).
% 0.54/0.95 thf(zip_derived_cl2, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.95 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.95 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.95 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl141, plain,
% 0.54/0.95 ((((sk_c8) = (sk_c7))
% 0.54/0.95 | ((inverse @ sk_c1) = (sk_c8))
% 0.54/0.95 | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.95 inference('demod', [status(thm)],
% 0.54/0.95 [zip_derived_cl138, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.95 zip_derived_cl90])).
% 0.54/0.95 thf(zip_derived_cl142, plain,
% 0.54/0.95 ((((inverse @ sk_c1) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl143, plain,
% 0.54/0.95 ((((multiply @ sk_c8 @ sk_c1) = (identity)) | ((sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl191, plain,
% 0.54/0.95 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.54/0.95 | ((sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl90])).
% 0.54/0.95 thf(zip_derived_cl422, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 0.54/0.95 thf(zip_derived_cl450, plain,
% 0.54/0.95 ((((sk_c1) = (inverse @ sk_c8)) | ((sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl422])).
% 0.54/0.95 thf(prove_this_4, conjecture,
% 0.54/0.95 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.54/0.95 thf(zf_stmt_4, negated_conjecture,
% 0.54/0.95 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.54/0.95 thf(zip_derived_cl6, plain,
% 0.54/0.95 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/0.95 thf(zip_derived_cl105, plain,
% 0.54/0.95 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl90])).
% 0.54/0.95 thf(zip_derived_cl276, plain,
% 0.54/0.95 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.95 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl105])).
% 0.54/0.95 thf(prove_this_5, conjecture,
% 0.54/0.95 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.54/0.95 thf(zf_stmt_5, negated_conjecture,
% 0.54/0.95 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.54/0.95 thf(zip_derived_cl7, plain,
% 0.54/0.95 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 0.54/0.95 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/0.95 thf(zip_derived_cl3, plain, (((multiply @ sk_c7 @ sk_c8) = (sk_c6))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.95 thf(zip_derived_cl296, plain,
% 0.54/0.95 ((((multiply @ sk_c5 @ (multiply @ sk_c7 @ sk_c8)) = (sk_c7))
% 0.54/0.95 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 0.54/0.95 thf(zip_derived_cl337, plain,
% 0.54/0.95 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @
% 0.54/0.95 (multiply @ sk_c7 @ sk_c8)) = (sk_c7))
% 0.54/0.95 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 0.54/0.95 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl276, zip_derived_cl296])).
% 0.54/0.95 thf(zip_derived_cl2, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.95 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.95 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.95 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl340, plain,
% 0.54/0.95 ((((sk_c8) = (sk_c7))
% 0.54/0.95 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 0.54/0.95 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('demod', [status(thm)],
% 0.54/0.95 [zip_derived_cl337, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.95 zip_derived_cl90])).
% 0.54/0.95 thf(zip_derived_cl341, plain,
% 0.54/0.95 ((((multiply @ sk_c1 @ sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl340])).
% 0.54/0.95 thf(zip_derived_cl498, plain,
% 0.54/0.95 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.54/0.95 | ((sk_c8) = (sk_c7))
% 0.54/0.95 | ((sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl450, zip_derived_cl341])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl501, plain,
% 0.54/0.95 ((((identity) = (sk_c7)) | ((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl498, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl502, plain,
% 0.54/0.95 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl501])).
% 0.54/0.95 thf(prove_this_22, conjecture,
% 0.54/0.95 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.54/0.95 ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.54/0.95 thf(zf_stmt_6, negated_conjecture,
% 0.54/0.95 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c7 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.54/0.95 thf(zip_derived_cl24, plain,
% 0.54/0.95 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c7)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl44, plain,
% 0.54/0.95 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.54/0.95 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl110, plain,
% 0.54/0.95 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.95 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl90])).
% 0.54/0.95 thf(prove_this_18, conjecture,
% 0.54/0.95 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 0.54/0.95 thf(zf_stmt_7, negated_conjecture,
% 0.54/0.95 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.54/0.95 thf(zip_derived_cl20, plain,
% 0.54/0.95 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c8)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/0.95 thf(zip_derived_cl173, plain,
% 0.54/0.95 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/0.95 = (sk_c8))
% 0.54/0.95 | ((inverse @ sk_c4) = (sk_c8))
% 0.54/0.95 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl20])).
% 0.54/0.95 thf(zip_derived_cl2, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.95 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.95 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.95 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl181, plain,
% 0.54/0.95 ((((identity) = (sk_c8))
% 0.54/0.95 | ((inverse @ sk_c4) = (sk_c8))
% 0.54/0.95 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.95 inference('demod', [status(thm)],
% 0.54/0.95 [zip_derived_cl173, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.95 zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl182, plain,
% 0.54/0.95 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl181])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl186, plain,
% 0.54/0.95 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((identity) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl507, plain,
% 0.54/0.95 ((((multiply @ sk_c7 @ sk_c4) = (identity))
% 0.54/0.95 | ((identity) = (sk_c7))
% 0.54/0.95 | ((identity) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl502, zip_derived_cl186])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl1017, plain,
% 0.54/0.95 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.95 | ((identity) = (sk_c8))
% 0.54/0.95 | ((identity) = (sk_c7)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl507, zip_derived_cl90])).
% 0.54/0.95 thf(zip_derived_cl422, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 0.54/0.95 thf(zip_derived_cl1024, plain,
% 0.54/0.95 ((((sk_c4) = (inverse @ sk_c7))
% 0.54/0.95 | ((identity) = (sk_c8))
% 0.54/0.95 | ((identity) = (sk_c7)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl1017, zip_derived_cl422])).
% 0.54/0.95 thf(prove_this_23, conjecture,
% 0.54/0.95 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.54/0.95 ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.54/0.95 thf(zf_stmt_8, negated_conjecture,
% 0.54/0.95 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.54/0.95 ( ( inverse @ sk_c3 ) = ( sk_c7 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.54/0.95 thf(zip_derived_cl25, plain,
% 0.54/0.95 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c7)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.54/0.95 thf(zip_derived_cl105, plain,
% 0.54/0.95 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl90])).
% 0.54/0.95 thf(zip_derived_cl285, plain,
% 0.54/0.95 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.95 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl105])).
% 0.54/0.95 thf(zip_derived_cl422, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 0.54/0.95 thf(zip_derived_cl460, plain,
% 0.54/0.95 ((((sk_c3) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl285, zip_derived_cl422])).
% 0.54/0.95 thf(prove_this_19, conjecture,
% 0.54/0.95 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 0.54/0.95 thf(zf_stmt_9, negated_conjecture,
% 0.54/0.95 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.54/0.95 thf(zip_derived_cl21, plain,
% 0.54/0.95 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 0.54/0.95 | ((multiply @ sk_c3 @ sk_c7) = (sk_c8)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.54/0.95 thf(zip_derived_cl1142, plain,
% 0.54/0.95 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 0.54/0.95 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 0.54/0.95 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl460, zip_derived_cl21])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl1146, plain,
% 0.54/0.95 ((((identity) = (sk_c8))
% 0.54/0.95 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 0.54/0.95 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl1142, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl1147, plain,
% 0.54/0.95 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1146])).
% 0.54/0.95 thf(zip_derived_cl1155, plain,
% 0.54/0.95 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 0.54/0.95 | ((identity) = (sk_c7))
% 0.54/0.95 | ((identity) = (sk_c8))
% 0.54/0.95 | ((identity) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl1024, zip_derived_cl1147])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl1157, plain,
% 0.54/0.95 ((((identity) = (sk_c8))
% 0.54/0.95 | ((identity) = (sk_c7))
% 0.54/0.95 | ((identity) = (sk_c8))
% 0.54/0.95 | ((identity) = (sk_c8)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl1155, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl1158, plain,
% 0.54/0.95 ((((identity) = (sk_c7)) | ((identity) = (sk_c8)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1157])).
% 0.54/0.95 thf(zip_derived_cl502, plain,
% 0.54/0.95 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl501])).
% 0.54/0.95 thf(zip_derived_cl1167, plain,
% 0.54/0.95 ((((identity) = (sk_c7))
% 0.54/0.95 | ((identity) = (sk_c7))
% 0.54/0.95 | ((identity) = (sk_c7)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl1158, zip_derived_cl502])).
% 0.54/0.95 thf(zip_derived_cl1174, plain, (((identity) = (sk_c7))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1167])).
% 0.54/0.95 thf(zip_derived_cl1231, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.95 (((identity) != (identity))
% 0.54/0.95 | ((X0) != (sk_c8))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X1) != (sk_c8))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((inverse @ X2) != (sk_c8))
% 0.54/0.95 | ((X2) != (sk_c8))
% 0.54/0.95 | ((inverse @ X3) != (identity))
% 0.54/0.95 | ((multiply @ X3 @ sk_c8) != (identity)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl578, zip_derived_cl1174])).
% 0.54/0.95 thf(zip_derived_cl1232, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.95 (((multiply @ X3 @ sk_c8) != (identity))
% 0.54/0.95 | ((inverse @ X3) != (identity))
% 0.54/0.95 | ((X2) != (sk_c8))
% 0.54/0.95 | ((inverse @ X2) != (sk_c8))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((X1) != (sk_c8))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X0) != (sk_c8)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1231])).
% 0.54/0.95 thf(zip_derived_cl1266, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.95 (((X0) != (sk_c8))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X1) != (sk_c8))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((inverse @ sk_c8) != (sk_c8))
% 0.54/0.95 | ((inverse @ X2) != (identity))
% 0.54/0.95 | ((multiply @ X2 @ sk_c8) != (identity)))),
% 0.54/0.95 inference('eq_res', [status(thm)], [zip_derived_cl1232])).
% 0.54/0.95 thf(prove_this_13, conjecture,
% 0.54/0.95 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.95 thf(zf_stmt_10, negated_conjecture,
% 0.54/0.95 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.54/0.95 thf(zip_derived_cl15, plain,
% 0.54/0.95 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 0.54/0.95 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.54/0.95 thf(zip_derived_cl3, plain, (((multiply @ sk_c7 @ sk_c8) = (sk_c6))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.95 thf(zip_derived_cl3, plain, (((multiply @ sk_c7 @ sk_c8) = (sk_c6))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.95 thf(zip_derived_cl1121, plain,
% 0.54/0.95 ((((multiply @ sk_c5 @ (multiply @ sk_c7 @ sk_c8)) = (sk_c7))
% 0.54/0.95 | ((multiply @ sk_c2 @ sk_c7) = (multiply @ sk_c7 @ sk_c8)))),
% 0.54/0.95 inference('demod', [status(thm)],
% 0.54/0.95 [zip_derived_cl15, zip_derived_cl3, zip_derived_cl3])).
% 0.54/0.95 thf(zip_derived_cl1174, plain, (((identity) = (sk_c7))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1167])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl1174, plain, (((identity) = (sk_c7))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1167])).
% 0.54/0.95 thf(zip_derived_cl1174, plain, (((identity) = (sk_c7))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1167])).
% 0.54/0.95 thf(zip_derived_cl422, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 0.54/0.95 thf(zip_derived_cl1174, plain, (((identity) = (sk_c7))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1167])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl1243, plain,
% 0.54/0.95 ((((multiply @ sk_c5 @ sk_c8) = (identity)) | ((sk_c2) = (sk_c8)))),
% 0.54/0.95 inference('demod', [status(thm)],
% 0.54/0.95 [zip_derived_cl1121, zip_derived_cl1174, zip_derived_cl0,
% 0.54/0.95 zip_derived_cl1174, zip_derived_cl1174, zip_derived_cl422,
% 0.54/0.95 zip_derived_cl1174, zip_derived_cl0])).
% 0.54/0.95 thf(prove_this_17, conjecture,
% 0.54/0.95 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.54/0.95 thf(zf_stmt_11, negated_conjecture,
% 0.54/0.95 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.54/0.95 thf(zip_derived_cl19, plain,
% 0.54/0.95 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.54/0.95 thf(zip_derived_cl3, plain, (((multiply @ sk_c7 @ sk_c8) = (sk_c6))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.95 thf(zip_derived_cl59, plain,
% 0.54/0.95 ((((multiply @ sk_c5 @ (multiply @ sk_c7 @ sk_c8)) = (sk_c7))
% 0.54/0.95 | ((inverse @ sk_c2) = (sk_c7)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl3])).
% 0.54/0.95 thf(zip_derived_cl466, plain,
% 0.54/0.95 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl422, zip_derived_cl105])).
% 0.54/0.95 thf(zip_derived_cl490, plain,
% 0.54/0.95 ((((sk_c2) = (inverse @ sk_c7))
% 0.54/0.95 | ((multiply @ sk_c5 @ (multiply @ sk_c7 @ sk_c8)) = (sk_c7)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl466])).
% 0.54/0.95 thf(zip_derived_cl1174, plain, (((identity) = (sk_c7))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1167])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl104, plain,
% 0.54/0.95 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl90])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl133, plain,
% 0.54/0.95 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl90])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl409, plain, (((inverse @ identity) = (identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl1174, plain, (((identity) = (sk_c7))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1167])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl1174, plain, (((identity) = (sk_c7))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1167])).
% 0.54/0.95 thf(zip_derived_cl1229, plain,
% 0.54/0.95 ((((sk_c2) = (identity)) | ((multiply @ sk_c5 @ sk_c8) = (identity)))),
% 0.54/0.95 inference('demod', [status(thm)],
% 0.54/0.95 [zip_derived_cl490, zip_derived_cl1174, zip_derived_cl409,
% 0.54/0.95 zip_derived_cl1174, zip_derived_cl0, zip_derived_cl1174])).
% 0.54/0.95 thf(zip_derived_cl1385, plain,
% 0.54/0.95 ((((sk_c8) = (identity))
% 0.54/0.95 | ((multiply @ sk_c5 @ sk_c8) = (identity))
% 0.54/0.95 | ((multiply @ sk_c5 @ sk_c8) = (identity)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl1243, zip_derived_cl1229])).
% 0.54/0.95 thf(zip_derived_cl1386, plain,
% 0.54/0.95 ((((multiply @ sk_c5 @ sk_c8) = (identity)) | ((sk_c8) = (identity)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1385])).
% 0.54/0.95 thf(prove_this_16, conjecture,
% 0.54/0.95 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.54/0.95 thf(zf_stmt_12, negated_conjecture,
% 0.54/0.95 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.54/0.95 thf(zip_derived_cl18, plain,
% 0.54/0.95 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl41, plain,
% 0.54/0.95 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 0.54/0.95 | ((inverse @ sk_c5) = (sk_c7)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl109, plain,
% 0.54/0.95 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.95 | ((inverse @ sk_c5) = (sk_c7)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl90])).
% 0.54/0.95 thf(prove_this_12, conjecture,
% 0.54/0.95 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.95 thf(zf_stmt_13, negated_conjecture,
% 0.54/0.95 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 0.54/0.95 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.95 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.54/0.95 thf(zip_derived_cl14, plain,
% 0.54/0.95 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.54/0.95 thf(zip_derived_cl3, plain, (((multiply @ sk_c7 @ sk_c8) = (sk_c6))),
% 0.54/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.95 thf(zip_derived_cl65, plain,
% 0.54/0.95 ((((inverse @ sk_c5) = (sk_c7))
% 0.54/0.95 | ((multiply @ sk_c2 @ sk_c7) = (multiply @ sk_c7 @ sk_c8)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl3])).
% 0.54/0.95 thf(zip_derived_cl167, plain,
% 0.54/0.95 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/0.95 = (multiply @ sk_c7 @ sk_c8))
% 0.54/0.95 | ((inverse @ sk_c5) = (sk_c7))
% 0.54/0.95 | ((inverse @ sk_c5) = (sk_c7)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl65])).
% 0.54/0.95 thf(zip_derived_cl2, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.95 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.95 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.95 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl1, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.95 thf(zip_derived_cl171, plain,
% 0.54/0.95 ((((identity) = (multiply @ sk_c7 @ sk_c8))
% 0.54/0.95 | ((inverse @ sk_c5) = (sk_c7))
% 0.54/0.95 | ((inverse @ sk_c5) = (sk_c7)))),
% 0.54/0.95 inference('demod', [status(thm)],
% 0.54/0.95 [zip_derived_cl167, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.95 zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl172, plain,
% 0.54/0.95 ((((inverse @ sk_c5) = (sk_c7))
% 0.54/0.95 | ((identity) = (multiply @ sk_c7 @ sk_c8)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl171])).
% 0.54/0.95 thf(zip_derived_cl1174, plain, (((identity) = (sk_c7))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1167])).
% 0.54/0.95 thf(zip_derived_cl1174, plain, (((identity) = (sk_c7))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1167])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl1206, plain,
% 0.54/0.95 ((((inverse @ sk_c5) = (identity)) | ((identity) = (sk_c8)))),
% 0.54/0.95 inference('demod', [status(thm)],
% 0.54/0.95 [zip_derived_cl172, zip_derived_cl1174, zip_derived_cl1174,
% 0.54/0.95 zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl466, plain,
% 0.54/0.95 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl422, zip_derived_cl105])).
% 0.54/0.95 thf(zip_derived_cl90, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl473, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl466, zip_derived_cl90])).
% 0.54/0.95 thf(zip_derived_cl1359, plain,
% 0.54/0.95 (![X0 : $i]:
% 0.54/0.95 (((X0) = (multiply @ sk_c5 @ (multiply @ identity @ X0)))
% 0.54/0.95 | ((identity) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl1206, zip_derived_cl473])).
% 0.54/0.95 thf(zip_derived_cl0, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.95 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.95 thf(zip_derived_cl1367, plain,
% 0.54/0.95 (![X0 : $i]: (((X0) = (multiply @ sk_c5 @ X0)) | ((identity) = (sk_c8)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl1359, zip_derived_cl0])).
% 0.54/0.95 thf(zip_derived_cl1904, plain,
% 0.54/0.95 ((((sk_c8) = (identity))
% 0.54/0.95 | ((sk_c8) = (identity))
% 0.54/0.95 | ((identity) = (sk_c8)))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl1386, zip_derived_cl1367])).
% 0.54/0.95 thf(zip_derived_cl1921, plain, (((sk_c8) = (identity))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1904])).
% 0.54/0.95 thf(zip_derived_cl1921, plain, (((sk_c8) = (identity))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1904])).
% 0.54/0.95 thf(zip_derived_cl1921, plain, (((sk_c8) = (identity))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1904])).
% 0.54/0.95 thf(zip_derived_cl409, plain, (((inverse @ identity) = (identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl1921, plain, (((sk_c8) = (identity))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1904])).
% 0.54/0.95 thf(zip_derived_cl1921, plain, (((sk_c8) = (identity))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1904])).
% 0.54/0.95 thf(zip_derived_cl422, plain,
% 0.54/0.95 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 0.54/0.95 thf(zip_derived_cl1963, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.95 (((X0) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((identity) != (identity))
% 0.54/0.95 | ((inverse @ X2) != (identity))
% 0.54/0.95 | ((X2) != (identity)))),
% 0.54/0.95 inference('demod', [status(thm)],
% 0.54/0.95 [zip_derived_cl1266, zip_derived_cl1921, zip_derived_cl1921,
% 0.54/0.95 zip_derived_cl1921, zip_derived_cl409, zip_derived_cl1921,
% 0.54/0.95 zip_derived_cl1921, zip_derived_cl422])).
% 0.54/0.95 thf(zip_derived_cl1964, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.95 (((X2) != (identity))
% 0.54/0.95 | ((inverse @ X2) != (identity))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X0) != (identity)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1963])).
% 0.54/0.95 thf(zip_derived_cl1982, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 (((X0) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((inverse @ identity) != (identity)))),
% 0.54/0.95 inference('eq_res', [status(thm)], [zip_derived_cl1964])).
% 0.54/0.95 thf(zip_derived_cl409, plain, (((inverse @ identity) = (identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl1983, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 (((X0) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X1) != (identity))
% 0.54/0.95 | ((identity) != (identity)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl1982, zip_derived_cl409])).
% 0.54/0.95 thf(zip_derived_cl1984, plain,
% 0.54/0.95 (![X0 : $i, X1 : $i]:
% 0.54/0.95 (((inverse @ X1) != (identity))
% 0.54/0.95 | ((X1) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((X0) != (identity)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1983])).
% 0.54/0.95 thf(zip_derived_cl1985, plain,
% 0.54/0.95 (![X0 : $i]:
% 0.54/0.95 (((X0) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((inverse @ identity) != (identity)))),
% 0.54/0.95 inference('eq_res', [status(thm)], [zip_derived_cl1984])).
% 0.54/0.95 thf(zip_derived_cl409, plain, (((inverse @ identity) = (identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl1986, plain,
% 0.54/0.95 (![X0 : $i]:
% 0.54/0.95 (((X0) != (identity))
% 0.54/0.95 | ((inverse @ X0) != (identity))
% 0.54/0.95 | ((identity) != (identity)))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl1985, zip_derived_cl409])).
% 0.54/0.95 thf(zip_derived_cl1987, plain,
% 0.54/0.95 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1986])).
% 0.54/0.95 thf(zip_derived_cl1988, plain, (((inverse @ identity) != (identity))),
% 0.54/0.95 inference('eq_res', [status(thm)], [zip_derived_cl1987])).
% 0.54/0.95 thf(zip_derived_cl409, plain, (((inverse @ identity) = (identity))),
% 0.54/0.95 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl1])).
% 0.54/0.95 thf(zip_derived_cl1989, plain, (((identity) != (identity))),
% 0.54/0.95 inference('demod', [status(thm)], [zip_derived_cl1988, zip_derived_cl409])).
% 0.54/0.95 thf(zip_derived_cl1990, plain, ($false),
% 0.54/0.95 inference('simplify', [status(thm)], [zip_derived_cl1989])).
% 0.54/0.95
% 0.54/0.95 % SZS output end Refutation
% 0.54/0.95
% 0.54/0.95
% 0.54/0.95 % Terminating...
% 1.63/1.06 % Runner terminated.
% 1.63/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------