TSTP Solution File: GRP365-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP365-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E6U9z4Mvey true
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:22 EDT 2023
% Result : Unsatisfiable 0.54s 0.85s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP365-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E6U9z4Mvey true
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 20:52:43 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.85 % Solved by fo/fo7.sh.
% 0.54/0.85 % done 268 iterations in 0.097s
% 0.54/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.85 % SZS output start Refutation
% 0.54/0.85 thf(sk_c1_type, type, sk_c1: $i).
% 0.54/0.85 thf(sk_c7_type, type, sk_c7: $i).
% 0.54/0.85 thf(sk_c2_type, type, sk_c2: $i).
% 0.54/0.85 thf(sk_c5_type, type, sk_c5: $i).
% 0.54/0.85 thf(identity_type, type, identity: $i).
% 0.54/0.85 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.85 thf(sk_c8_type, type, sk_c8: $i).
% 0.54/0.85 thf(inverse_type, type, inverse: $i > $i).
% 0.54/0.85 thf(sk_c4_type, type, sk_c4: $i).
% 0.54/0.85 thf(sk_c3_type, type, sk_c3: $i).
% 0.54/0.85 thf(sk_c6_type, type, sk_c6: $i).
% 0.54/0.85 thf(prove_this_31, conjecture,
% 0.54/0.85 (~( ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c6 ) ) |
% 0.54/0.85 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.54/0.85 ( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 0.54/0.85 ( ( multiply @ X5 @ sk_c6 ) != ( sk_c8 ) ) |
% 0.54/0.85 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ X4 @ sk_c8 ) != ( X3 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c8 @ X3 ) != ( sk_c7 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) ))).
% 0.54/0.85 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.85 (( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c6 ) ) |
% 0.54/0.85 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.54/0.85 ( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 0.54/0.85 ( ( multiply @ X5 @ sk_c6 ) != ( sk_c8 ) ) |
% 0.54/0.85 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ X4 @ sk_c8 ) != ( X3 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c8 @ X3 ) != ( sk_c7 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.54/0.85 thf(zip_derived_cl33, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.85 (((inverse @ X0) != (sk_c8))
% 0.54/0.85 | ((multiply @ X0 @ sk_c8) != (sk_c6))
% 0.54/0.85 | ((inverse @ X1) != (sk_c8))
% 0.54/0.85 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6))
% 0.54/0.85 | ((inverse @ X2) != (sk_c6))
% 0.54/0.85 | ((multiply @ X2 @ sk_c6) != (sk_c8))
% 0.54/0.85 | ((inverse @ X3) != (sk_c8))
% 0.54/0.85 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.54/0.85 | ((multiply @ sk_c8 @ X4) != (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c6 @ sk_c8) != (sk_c7)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.85 thf(zip_derived_cl34, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.85 (((inverse @ X0) != (sk_c8))
% 0.54/0.85 | ((multiply @ X0 @ sk_c8) != (sk_c6))
% 0.54/0.85 | ((inverse @ X1) != (sk_c8))
% 0.54/0.85 | ((multiply @ X1 @ sk_c8) != (multiply @ sk_c6 @ sk_c8))
% 0.54/0.85 | ((multiply @ sk_c8 @ (multiply @ sk_c6 @ sk_c8)) != (sk_c6))
% 0.54/0.85 | ((inverse @ X2) != (sk_c6))
% 0.54/0.85 | ((multiply @ X2 @ sk_c6) != (sk_c8))
% 0.54/0.85 | ((inverse @ X3) != (sk_c8))
% 0.54/0.85 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.54/0.85 | ((multiply @ sk_c8 @ X4) != (multiply @ sk_c6 @ sk_c8))
% 0.54/0.85 | ((multiply @ sk_c6 @ sk_c8) != (sk_c7)))),
% 0.54/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 0.54/0.85 thf(prove_this_18, conjecture,
% 0.54/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.54/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.54/0.85 thf(zf_stmt_1, negated_conjecture,
% 0.54/0.85 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.54/0.85 thf(zip_derived_cl20, plain,
% 0.54/0.85 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.85 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl37, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(associativity, axiom,
% 0.54/0.85 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.54/0.85 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.54/0.85 thf(zip_derived_cl2, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.85 thf(zip_derived_cl50, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((multiply @ identity @ X0)
% 0.54/0.85 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.54/0.85 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.54/0.85 thf(zip_derived_cl0, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl88, plain,
% 0.54/0.85 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl67])).
% 0.54/0.85 thf(prove_this_13, conjecture,
% 0.54/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c2 ) ) ))).
% 0.54/0.85 thf(zf_stmt_2, negated_conjecture,
% 0.54/0.85 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c2 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.54/0.85 thf(zip_derived_cl15, plain,
% 0.54/0.85 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c2)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.85 thf(zip_derived_cl205, plain,
% 0.54/0.85 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.54/0.85 = (sk_c2))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl15])).
% 0.54/0.85 thf(zip_derived_cl2, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.85 thf(zip_derived_cl0, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl214, plain,
% 0.54/0.85 ((((identity) = (sk_c2))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.85 inference('demod', [status(thm)],
% 0.54/0.85 [zip_derived_cl205, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.85 zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl215, plain,
% 0.54/0.85 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c2)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl214])).
% 0.54/0.85 thf(prove_this_8, conjecture,
% 0.54/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c8 @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.54/0.85 thf(zf_stmt_3, negated_conjecture,
% 0.54/0.85 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c8 @ sk_c2 ) = ( sk_c7 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.54/0.85 thf(zip_derived_cl10, plain,
% 0.54/0.85 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c2) = (sk_c7)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.85 thf(zip_derived_cl219, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl10])).
% 0.54/0.85 thf(zip_derived_cl223, plain,
% 0.54/0.85 ((((inverse @ sk_c4) = (sk_c8))
% 0.54/0.85 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl219])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl225, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 0.54/0.85 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl320, plain,
% 0.54/0.85 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.54/0.85 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl67])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl79, plain,
% 0.54/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl67])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl76, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl67])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl505, plain,
% 0.54/0.85 ((((sk_c4) = (inverse @ sk_c8)) | ((sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('demod', [status(thm)],
% 0.54/0.85 [zip_derived_cl320, zip_derived_cl470, zip_derived_cl470])).
% 0.54/0.85 thf(prove_this_17, conjecture,
% 0.54/0.85 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.54/0.85 thf(zf_stmt_4, negated_conjecture,
% 0.54/0.85 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.54/0.85 thf(zip_derived_cl19, plain,
% 0.54/0.85 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl79, plain,
% 0.54/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl67])).
% 0.54/0.85 thf(zip_derived_cl512, plain,
% 0.54/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl470, zip_derived_cl79])).
% 0.54/0.85 thf(zip_derived_cl661, plain,
% 0.54/0.85 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl512])).
% 0.54/0.85 thf(prove_this_12, conjecture,
% 0.54/0.85 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c2 ) ) ))).
% 0.54/0.85 thf(zf_stmt_5, negated_conjecture,
% 0.54/0.85 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c2 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.54/0.85 thf(zip_derived_cl14, plain,
% 0.54/0.85 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c1 @ sk_c8) = (sk_c2)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/0.85 thf(zip_derived_cl806, plain,
% 0.54/0.85 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c2))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl661, zip_derived_cl14])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl818, plain,
% 0.54/0.85 ((((identity) = (sk_c2))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl806, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl819, plain,
% 0.54/0.85 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c2)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl818])).
% 0.54/0.85 thf(prove_this_7, conjecture,
% 0.54/0.85 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c8 @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.54/0.85 thf(zf_stmt_6, negated_conjecture,
% 0.54/0.85 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c8 @ sk_c2 ) = ( sk_c7 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.54/0.85 thf(zip_derived_cl9, plain,
% 0.54/0.85 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c8 @ sk_c2) = (sk_c7)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/0.85 thf(zip_derived_cl875, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl819, zip_derived_cl9])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl883, plain,
% 0.54/0.85 ((((sk_c8) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl875, zip_derived_cl470])).
% 0.54/0.85 thf(zip_derived_cl884, plain,
% 0.54/0.85 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl883])).
% 0.54/0.85 thf(zip_derived_cl1272, plain,
% 0.54/0.85 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.54/0.85 | ((sk_c8) = (sk_c7))
% 0.54/0.85 | ((sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl505, zip_derived_cl884])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl1276, plain,
% 0.54/0.85 ((((identity) = (sk_c7)) | ((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl1272, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl1277, plain,
% 0.54/0.85 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl1276])).
% 0.54/0.85 thf(zip_derived_cl1292, plain,
% 0.54/0.85 ((((sk_c8) != (identity)) | ((identity) = (sk_c7)))),
% 0.54/0.85 inference('eq_fact', [status(thm)], [zip_derived_cl1277])).
% 0.54/0.85 thf(prove_this_28, conjecture,
% 0.54/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.54/0.85 ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) ))).
% 0.54/0.85 thf(zf_stmt_7, negated_conjecture,
% 0.54/0.85 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c6 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 0.54/0.85 thf(zip_derived_cl30, plain,
% 0.54/0.85 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c6)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl39, plain,
% 0.54/0.85 ((((multiply @ sk_c6 @ sk_c3) = (identity))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl81, plain,
% 0.54/0.85 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl67])).
% 0.54/0.85 thf(prove_this_23, conjecture,
% 0.54/0.85 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 0.54/0.85 thf(zf_stmt_8, negated_conjecture,
% 0.54/0.85 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.54/0.85 thf(zip_derived_cl25, plain,
% 0.54/0.85 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c8)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.54/0.85 thf(zip_derived_cl112, plain,
% 0.54/0.85 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.54/0.85 = (sk_c8))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl25])).
% 0.54/0.85 thf(zip_derived_cl2, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.85 thf(zip_derived_cl0, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl121, plain,
% 0.54/0.85 ((((identity) = (sk_c8))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8))
% 0.54/0.85 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.54/0.85 inference('demod', [status(thm)],
% 0.54/0.85 [zip_derived_cl112, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.85 zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl122, plain,
% 0.54/0.85 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl126, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl149, plain,
% 0.54/0.85 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.54/0.85 | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl67])).
% 0.54/0.85 thf(prove_this_27, conjecture,
% 0.54/0.85 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.85 ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) ))).
% 0.54/0.85 thf(zf_stmt_9, negated_conjecture,
% 0.54/0.85 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.85 ( ( inverse @ sk_c3 ) = ( sk_c6 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 0.54/0.85 thf(zip_derived_cl29, plain,
% 0.54/0.85 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c3) = (sk_c6)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl45, plain,
% 0.54/0.85 ((((multiply @ sk_c6 @ sk_c3) = (identity))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl288, plain,
% 0.54/0.85 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl67])).
% 0.54/0.85 thf(prove_this_22, conjecture,
% 0.54/0.85 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 0.54/0.85 thf(zf_stmt_10, negated_conjecture,
% 0.54/0.85 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.54/0.85 thf(zip_derived_cl24, plain,
% 0.54/0.85 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c3 @ sk_c6) = (sk_c8)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.54/0.85 thf(zip_derived_cl394, plain,
% 0.54/0.85 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.54/0.85 = (sk_c8))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl24])).
% 0.54/0.85 thf(zip_derived_cl2, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.85 thf(zip_derived_cl0, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl397, plain,
% 0.54/0.85 ((((identity) = (sk_c8))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('demod', [status(thm)],
% 0.54/0.85 [zip_derived_cl394, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.85 zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl398, plain,
% 0.54/0.85 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl397])).
% 0.54/0.85 thf(zip_derived_cl402, plain,
% 0.54/0.85 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.54/0.85 = (sk_c7))
% 0.54/0.85 | ((identity) = (sk_c8))
% 0.54/0.85 | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl398])).
% 0.54/0.85 thf(zip_derived_cl2, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.85 thf(zip_derived_cl0, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl405, plain,
% 0.54/0.85 ((((identity) = (sk_c7))
% 0.54/0.85 | ((identity) = (sk_c8))
% 0.54/0.85 | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('demod', [status(thm)],
% 0.54/0.85 [zip_derived_cl402, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.85 zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl406, plain,
% 0.54/0.85 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl405])).
% 0.54/0.85 thf(zip_derived_cl1296, plain, (((identity) = (sk_c7))),
% 0.54/0.85 inference('clc', [status(thm)], [zip_derived_cl1292, zip_derived_cl406])).
% 0.54/0.85 thf(zip_derived_cl1315, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.85 (((inverse @ X0) != (sk_c8))
% 0.54/0.85 | ((multiply @ X0 @ sk_c8) != (sk_c6))
% 0.54/0.85 | ((inverse @ X1) != (sk_c8))
% 0.54/0.85 | ((multiply @ X1 @ sk_c8) != (multiply @ sk_c6 @ sk_c8))
% 0.54/0.85 | ((multiply @ sk_c8 @ (multiply @ sk_c6 @ sk_c8)) != (sk_c6))
% 0.54/0.85 | ((inverse @ X2) != (sk_c6))
% 0.54/0.85 | ((multiply @ X2 @ sk_c6) != (sk_c8))
% 0.54/0.85 | ((inverse @ X3) != (sk_c8))
% 0.54/0.85 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.54/0.85 | ((multiply @ sk_c8 @ X4) != (multiply @ sk_c6 @ sk_c8))
% 0.54/0.85 | ((multiply @ sk_c6 @ sk_c8) != (identity)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl1296])).
% 0.54/0.85 thf(zip_derived_cl1316, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.85 (((inverse @ X0) != (sk_c8))
% 0.54/0.85 | ((multiply @ X0 @ sk_c8) != (sk_c6))
% 0.54/0.85 | ((inverse @ X1) != (sk_c8))
% 0.54/0.85 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.54/0.85 | ((multiply @ sk_c8 @ identity) != (sk_c6))
% 0.54/0.85 | ((inverse @ X2) != (sk_c6))
% 0.54/0.85 | ((multiply @ X2 @ sk_c6) != (sk_c8))
% 0.54/0.85 | ((inverse @ X3) != (sk_c8))
% 0.54/0.85 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.54/0.85 | ((multiply @ sk_c8 @ X4) != (identity))
% 0.54/0.85 | ((multiply @ sk_c6 @ sk_c8) != (identity)))),
% 0.54/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl1315])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl1317, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.85 (((inverse @ X0) != (sk_c8))
% 0.54/0.85 | ((multiply @ X0 @ sk_c8) != (sk_c6))
% 0.54/0.85 | ((inverse @ X1) != (sk_c8))
% 0.54/0.85 | ((multiply @ X1 @ sk_c8) != (identity))
% 0.54/0.85 | ((sk_c8) != (sk_c6))
% 0.54/0.85 | ((inverse @ X2) != (sk_c6))
% 0.54/0.85 | ((multiply @ X2 @ sk_c6) != (sk_c8))
% 0.54/0.85 | ((inverse @ X3) != (sk_c8))
% 0.54/0.85 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.54/0.85 | ((multiply @ sk_c8 @ X4) != (identity))
% 0.54/0.85 | ((multiply @ sk_c6 @ sk_c8) != (identity)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl1316, zip_derived_cl470])).
% 0.54/0.85 thf(zip_derived_cl1318, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.85 (((inverse @ X0) != (sk_c6))
% 0.54/0.85 | ((multiply @ X0 @ sk_c6) != (sk_c6))
% 0.54/0.85 | ((inverse @ X1) != (sk_c6))
% 0.54/0.85 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.54/0.85 | ((sk_c8) != (sk_c6))
% 0.54/0.85 | ((inverse @ X2) != (sk_c6))
% 0.54/0.85 | ((multiply @ X2 @ sk_c6) != (sk_c6))
% 0.54/0.85 | ((inverse @ X3) != (sk_c6))
% 0.54/0.85 | ((multiply @ X3 @ sk_c6) != (X4))
% 0.54/0.85 | ((multiply @ sk_c6 @ X4) != (identity))
% 0.54/0.85 | ((multiply @ sk_c6 @ sk_c6) != (identity)))),
% 0.54/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl1317])).
% 0.54/0.85 thf(prove_this_30, conjecture,
% 0.54/0.85 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.54/0.85 ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) ))).
% 0.54/0.85 thf(zf_stmt_11, negated_conjecture,
% 0.54/0.85 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c6 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 0.54/0.85 thf(zip_derived_cl32, plain,
% 0.54/0.85 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c6)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl40, plain,
% 0.54/0.85 ((((multiply @ sk_c6 @ sk_c3) = (identity))
% 0.54/0.85 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl82, plain,
% 0.54/0.85 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.54/0.85 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl67])).
% 0.54/0.85 thf(prove_this_25, conjecture,
% 0.54/0.85 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) ) ))).
% 0.54/0.85 thf(zf_stmt_12, negated_conjecture,
% 0.54/0.85 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c8 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 0.54/0.85 thf(zip_derived_cl27, plain,
% 0.54/0.85 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c8)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.54/0.85 thf(zip_derived_cl129, plain,
% 0.54/0.85 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.54/0.85 = (sk_c8))
% 0.54/0.85 | ((inverse @ sk_c5) = (sk_c8))
% 0.54/0.85 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl27])).
% 0.54/0.85 thf(zip_derived_cl2, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.85 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.85 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.85 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.85 thf(zip_derived_cl0, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl138, plain,
% 0.54/0.85 ((((identity) = (sk_c8))
% 0.54/0.85 | ((inverse @ sk_c5) = (sk_c8))
% 0.54/0.85 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.54/0.85 inference('demod', [status(thm)],
% 0.54/0.85 [zip_derived_cl129, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.85 zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl139, plain,
% 0.54/0.85 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl138])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl142, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ sk_c5) = (identity)) | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl152, plain,
% 0.54/0.85 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.54/0.85 | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl67])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl499, plain,
% 0.54/0.85 ((((sk_c5) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl152, zip_derived_cl470])).
% 0.54/0.85 thf(prove_this_19, conjecture,
% 0.54/0.85 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.54/0.85 thf(zf_stmt_13, negated_conjecture,
% 0.54/0.85 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.54/0.85 thf(zip_derived_cl21, plain,
% 0.54/0.85 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.54/0.85 thf(zip_derived_cl512, plain,
% 0.54/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl470, zip_derived_cl79])).
% 0.54/0.85 thf(zip_derived_cl663, plain,
% 0.54/0.85 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl512])).
% 0.54/0.85 thf(prove_this_14, conjecture,
% 0.54/0.85 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c2 ) ) ))).
% 0.54/0.85 thf(zf_stmt_14, negated_conjecture,
% 0.54/0.85 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c2 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.54/0.85 thf(zip_derived_cl16, plain,
% 0.54/0.85 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c1 @ sk_c8) = (sk_c2)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.54/0.85 thf(zip_derived_cl891, plain,
% 0.54/0.85 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c2))
% 0.54/0.85 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl663, zip_derived_cl16])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl903, plain,
% 0.54/0.85 ((((identity) = (sk_c2))
% 0.54/0.85 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl891, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl904, plain,
% 0.54/0.85 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c2)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl903])).
% 0.54/0.85 thf(prove_this_9, conjecture,
% 0.54/0.85 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c8 @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.54/0.85 thf(zf_stmt_15, negated_conjecture,
% 0.54/0.85 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c8 @ sk_c2 ) = ( sk_c7 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.54/0.85 thf(zip_derived_cl11, plain,
% 0.54/0.85 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c8 @ sk_c2) = (sk_c7)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.54/0.85 thf(zip_derived_cl917, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl904, zip_derived_cl11])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl925, plain,
% 0.54/0.85 ((((sk_c8) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl917, zip_derived_cl470])).
% 0.54/0.85 thf(zip_derived_cl926, plain,
% 0.54/0.85 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 0.54/0.85 thf(zip_derived_cl1296, plain, (((identity) = (sk_c7))),
% 0.54/0.85 inference('clc', [status(thm)], [zip_derived_cl1292, zip_derived_cl406])).
% 0.54/0.85 thf(zip_derived_cl1499, plain,
% 0.54/0.85 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((sk_c8) = (identity)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl926, zip_derived_cl1296])).
% 0.54/0.85 thf(zip_derived_cl1504, plain,
% 0.54/0.85 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 0.54/0.85 | ((identity) = (sk_c8))
% 0.54/0.85 | ((sk_c8) = (identity)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl499, zip_derived_cl1499])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl1507, plain,
% 0.54/0.85 ((((identity) = (sk_c6))
% 0.54/0.85 | ((identity) = (sk_c8))
% 0.54/0.85 | ((sk_c8) = (identity)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl1504, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl1508, plain,
% 0.54/0.85 ((((identity) = (sk_c8)) | ((identity) = (sk_c6)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl1507])).
% 0.54/0.85 thf(prove_this_16, conjecture,
% 0.54/0.85 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.54/0.85 thf(zf_stmt_16, negated_conjecture,
% 0.54/0.85 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.54/0.85 thf(zip_derived_cl18, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.54/0.85 thf(zip_derived_cl512, plain,
% 0.54/0.85 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl470, zip_derived_cl79])).
% 0.54/0.85 thf(zip_derived_cl660, plain,
% 0.54/0.85 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl512])).
% 0.54/0.85 thf(prove_this_11, conjecture,
% 0.54/0.85 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c2 ) ) ))).
% 0.54/0.85 thf(zf_stmt_17, negated_conjecture,
% 0.54/0.85 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c2 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.54/0.85 thf(zip_derived_cl13, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c1 @ sk_c8) = (sk_c2)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.54/0.85 thf(zip_derived_cl765, plain,
% 0.54/0.85 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c2))
% 0.54/0.85 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl660, zip_derived_cl13])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl777, plain,
% 0.54/0.85 ((((identity) = (sk_c2))
% 0.54/0.85 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl765, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl778, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c2)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl777])).
% 0.54/0.85 thf(prove_this_6, conjecture,
% 0.54/0.85 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c8 @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.54/0.85 thf(zf_stmt_18, negated_conjecture,
% 0.54/0.85 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c8 @ sk_c2 ) = ( sk_c7 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.54/0.85 thf(zip_derived_cl8, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c8 @ sk_c2) = (sk_c7)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.54/0.85 thf(zip_derived_cl791, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl778, zip_derived_cl8])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl799, plain,
% 0.54/0.85 ((((sk_c8) = (sk_c7))
% 0.54/0.85 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl791, zip_derived_cl470])).
% 0.54/0.85 thf(zip_derived_cl800, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl799])).
% 0.54/0.85 thf(zip_derived_cl122, plain,
% 0.54/0.85 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 0.54/0.85 thf(zip_derived_cl398, plain,
% 0.54/0.85 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl397])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl400, plain,
% 0.54/0.85 ((((sk_c8) = (multiply @ (inverse @ sk_c4) @ sk_c7))
% 0.54/0.85 | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl398, zip_derived_cl67])).
% 0.54/0.85 thf(zip_derived_cl421, plain,
% 0.54/0.85 ((((sk_c8) = (multiply @ sk_c8 @ sk_c7))
% 0.54/0.85 | ((identity) = (sk_c8))
% 0.54/0.85 | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl400])).
% 0.54/0.85 thf(zip_derived_cl428, plain,
% 0.54/0.85 ((((identity) = (sk_c8)) | ((sk_c8) = (multiply @ sk_c8 @ sk_c7)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl421])).
% 0.54/0.85 thf(zip_derived_cl1144, plain,
% 0.54/0.85 ((((sk_c8) = (sk_c6)) | ((sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl800, zip_derived_cl428])).
% 0.54/0.85 thf(zip_derived_cl406, plain,
% 0.54/0.85 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl405])).
% 0.54/0.85 thf(zip_derived_cl1157, plain,
% 0.54/0.85 ((((identity) = (sk_c8))
% 0.54/0.85 | ((identity) = (sk_c8))
% 0.54/0.85 | ((sk_c8) = (sk_c6))
% 0.54/0.85 | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl1144, zip_derived_cl406])).
% 0.54/0.85 thf(zip_derived_cl1163, plain,
% 0.54/0.85 ((((sk_c8) = (sk_c6)) | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl1157])).
% 0.54/0.85 thf(zip_derived_cl1198, plain,
% 0.54/0.85 ((((sk_c6) != (identity)) | ((identity) = (sk_c8)))),
% 0.54/0.85 inference('eq_fact', [status(thm)], [zip_derived_cl1163])).
% 0.54/0.85 thf(zip_derived_cl1511, plain, (((identity) = (sk_c8))),
% 0.54/0.85 inference('clc', [status(thm)], [zip_derived_cl1508, zip_derived_cl1198])).
% 0.54/0.85 thf(zip_derived_cl1543, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.85 (((inverse @ X0) != (sk_c6))
% 0.54/0.85 | ((multiply @ X0 @ sk_c6) != (sk_c6))
% 0.54/0.85 | ((inverse @ X1) != (sk_c6))
% 0.54/0.85 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.54/0.85 | ((identity) != (sk_c6))
% 0.54/0.85 | ((inverse @ X2) != (sk_c6))
% 0.54/0.85 | ((multiply @ X2 @ sk_c6) != (sk_c6))
% 0.54/0.85 | ((inverse @ X3) != (sk_c6))
% 0.54/0.85 | ((multiply @ X3 @ sk_c6) != (X4))
% 0.54/0.85 | ((multiply @ sk_c6 @ X4) != (identity))
% 0.54/0.85 | ((multiply @ sk_c6 @ sk_c6) != (identity)))),
% 0.54/0.85 inference('demod', [status(thm)],
% 0.54/0.85 [zip_derived_cl1318, zip_derived_cl1511])).
% 0.54/0.85 thf(zip_derived_cl1544, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.85 (((inverse @ X0) != (identity))
% 0.54/0.85 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.85 | ((inverse @ X1) != (identity))
% 0.54/0.85 | ((multiply @ X1 @ identity) != (identity))
% 0.54/0.85 | ((identity) != (sk_c6))
% 0.54/0.85 | ((inverse @ X2) != (identity))
% 0.54/0.85 | ((multiply @ X2 @ identity) != (identity))
% 0.54/0.85 | ((inverse @ X3) != (identity))
% 0.54/0.85 | ((multiply @ X3 @ identity) != (X4))
% 0.54/0.85 | ((multiply @ identity @ X4) != (identity))
% 0.54/0.85 | ((multiply @ identity @ identity) != (identity)))),
% 0.54/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl1543])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl0, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.85 thf(zip_derived_cl0, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.85 thf(zip_derived_cl1545, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.85 (((inverse @ X0) != (identity))
% 0.54/0.85 | ((X0) != (identity))
% 0.54/0.85 | ((inverse @ X1) != (identity))
% 0.54/0.85 | ((X1) != (identity))
% 0.54/0.85 | ((identity) != (sk_c6))
% 0.54/0.85 | ((inverse @ X2) != (identity))
% 0.54/0.85 | ((X2) != (identity))
% 0.54/0.85 | ((inverse @ X3) != (identity))
% 0.54/0.85 | ((X3) != (X4))
% 0.54/0.85 | ((X4) != (identity))
% 0.54/0.85 | ((identity) != (identity)))),
% 0.54/0.85 inference('demod', [status(thm)],
% 0.54/0.85 [zip_derived_cl1544, zip_derived_cl470, zip_derived_cl470,
% 0.54/0.85 zip_derived_cl470, zip_derived_cl470, zip_derived_cl0,
% 0.54/0.85 zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl1546, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.85 (((X4) != (identity))
% 0.54/0.85 | ((X3) != (X4))
% 0.54/0.85 | ((inverse @ X3) != (identity))
% 0.54/0.85 | ((X2) != (identity))
% 0.54/0.85 | ((inverse @ X2) != (identity))
% 0.54/0.85 | ((identity) != (sk_c6))
% 0.54/0.85 | ((X1) != (identity))
% 0.54/0.85 | ((inverse @ X1) != (identity))
% 0.54/0.85 | ((X0) != (identity))
% 0.54/0.85 | ((inverse @ X0) != (identity)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl1545])).
% 0.54/0.85 thf(prove_this_1, conjecture,
% 0.54/0.85 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.54/0.85 thf(zf_stmt_19, negated_conjecture,
% 0.54/0.85 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.54/0.85 ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) )),
% 0.54/0.85 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.54/0.85 thf(zip_derived_cl3, plain,
% 0.54/0.85 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.54/0.85 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl83, plain,
% 0.54/0.85 ((((sk_c7) = (multiply @ (inverse @ sk_c8) @ sk_c6))
% 0.54/0.85 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl67])).
% 0.54/0.85 thf(zip_derived_cl146, plain,
% 0.54/0.85 ((((multiply @ (inverse @ sk_c8) @ sk_c6) != (multiply @ sk_c6 @ sk_c8))
% 0.54/0.85 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 0.54/0.85 inference('eq_fact', [status(thm)], [zip_derived_cl83])).
% 0.54/0.85 thf(zip_derived_cl1296, plain, (((identity) = (sk_c7))),
% 0.54/0.85 inference('clc', [status(thm)], [zip_derived_cl1292, zip_derived_cl406])).
% 0.54/0.85 thf(zip_derived_cl1325, plain,
% 0.54/0.85 ((((multiply @ (inverse @ sk_c8) @ sk_c6) != (multiply @ sk_c6 @ sk_c8))
% 0.54/0.85 | ((multiply @ sk_c6 @ sk_c8) = (identity)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl1296])).
% 0.54/0.85 thf(zip_derived_cl1511, plain, (((identity) = (sk_c8))),
% 0.54/0.85 inference('clc', [status(thm)], [zip_derived_cl1508, zip_derived_cl1198])).
% 0.54/0.85 thf(zip_derived_cl0, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl78, plain,
% 0.54/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl67])).
% 0.54/0.85 thf(zip_derived_cl67, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.54/0.85 thf(zip_derived_cl110, plain,
% 0.54/0.85 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl67])).
% 0.54/0.85 thf(zip_derived_cl1, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.85 thf(zip_derived_cl457, plain, (((inverse @ identity) = (identity))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl0, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.85 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.85 thf(zip_derived_cl1511, plain, (((identity) = (sk_c8))),
% 0.54/0.85 inference('clc', [status(thm)], [zip_derived_cl1508, zip_derived_cl1198])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl1511, plain, (((identity) = (sk_c8))),
% 0.54/0.85 inference('clc', [status(thm)], [zip_derived_cl1508, zip_derived_cl1198])).
% 0.54/0.85 thf(zip_derived_cl470, plain,
% 0.54/0.85 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.54/0.85 thf(zip_derived_cl1549, plain,
% 0.54/0.85 ((((sk_c6) != (sk_c6)) | ((sk_c6) = (identity)))),
% 0.54/0.85 inference('demod', [status(thm)],
% 0.54/0.85 [zip_derived_cl1325, zip_derived_cl1511, zip_derived_cl457,
% 0.54/0.85 zip_derived_cl0, zip_derived_cl1511, zip_derived_cl470,
% 0.54/0.85 zip_derived_cl1511, zip_derived_cl470])).
% 0.54/0.85 thf(zip_derived_cl1550, plain, (((sk_c6) = (identity))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl1549])).
% 0.54/0.85 thf(zip_derived_cl1572, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.85 (((X4) != (identity))
% 0.54/0.85 | ((X3) != (X4))
% 0.54/0.85 | ((inverse @ X3) != (identity))
% 0.54/0.85 | ((X2) != (identity))
% 0.54/0.85 | ((inverse @ X2) != (identity))
% 0.54/0.85 | ((identity) != (identity))
% 0.54/0.85 | ((X1) != (identity))
% 0.54/0.85 | ((inverse @ X1) != (identity))
% 0.54/0.85 | ((X0) != (identity))
% 0.54/0.85 | ((inverse @ X0) != (identity)))),
% 0.54/0.85 inference('demod', [status(thm)],
% 0.54/0.85 [zip_derived_cl1546, zip_derived_cl1550])).
% 0.54/0.85 thf(zip_derived_cl1573, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.85 (((inverse @ X0) != (identity))
% 0.54/0.85 | ((X0) != (identity))
% 0.54/0.85 | ((inverse @ X1) != (identity))
% 0.54/0.85 | ((X1) != (identity))
% 0.54/0.85 | ((inverse @ X2) != (identity))
% 0.54/0.85 | ((X2) != (identity))
% 0.54/0.85 | ((inverse @ X3) != (identity))
% 0.54/0.85 | ((X3) != (X4))
% 0.54/0.85 | ((X4) != (identity)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl1572])).
% 0.54/0.85 thf(zip_derived_cl1574, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.85 (((X0) != (identity))
% 0.54/0.85 | ((inverse @ X0) != (identity))
% 0.54/0.85 | ((X1) != (identity))
% 0.54/0.85 | ((inverse @ X1) != (identity))
% 0.54/0.85 | ((X2) != (identity))
% 0.54/0.85 | ((inverse @ X2) != (identity))
% 0.54/0.85 | ((X3) != (identity))
% 0.54/0.85 | ((inverse @ X3) != (identity)))),
% 0.54/0.85 inference('eq_res', [status(thm)], [zip_derived_cl1573])).
% 0.54/0.85 thf(zip_derived_cl1575, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.85 (((inverse @ X0) != (identity))
% 0.54/0.85 | ((X0) != (identity))
% 0.54/0.85 | ((inverse @ X1) != (identity))
% 0.54/0.85 | ((X1) != (identity))
% 0.54/0.85 | ((inverse @ X2) != (identity))
% 0.54/0.85 | ((X2) != (identity))
% 0.54/0.85 | ((inverse @ identity) != (identity)))),
% 0.54/0.85 inference('eq_res', [status(thm)], [zip_derived_cl1574])).
% 0.54/0.85 thf(zip_derived_cl457, plain, (((inverse @ identity) = (identity))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl1576, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.85 (((inverse @ X0) != (identity))
% 0.54/0.85 | ((X0) != (identity))
% 0.54/0.85 | ((inverse @ X1) != (identity))
% 0.54/0.85 | ((X1) != (identity))
% 0.54/0.85 | ((inverse @ X2) != (identity))
% 0.54/0.85 | ((X2) != (identity))
% 0.54/0.85 | ((identity) != (identity)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl1575, zip_derived_cl457])).
% 0.54/0.85 thf(zip_derived_cl1577, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.85 (((X2) != (identity))
% 0.54/0.85 | ((inverse @ X2) != (identity))
% 0.54/0.85 | ((X1) != (identity))
% 0.54/0.85 | ((inverse @ X1) != (identity))
% 0.54/0.85 | ((X0) != (identity))
% 0.54/0.85 | ((inverse @ X0) != (identity)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl1576])).
% 0.54/0.85 thf(zip_derived_cl1578, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 (((inverse @ X0) != (identity))
% 0.54/0.85 | ((X0) != (identity))
% 0.54/0.85 | ((inverse @ X1) != (identity))
% 0.54/0.85 | ((X1) != (identity))
% 0.54/0.85 | ((inverse @ identity) != (identity)))),
% 0.54/0.85 inference('eq_res', [status(thm)], [zip_derived_cl1577])).
% 0.54/0.85 thf(zip_derived_cl457, plain, (((inverse @ identity) = (identity))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl1579, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 (((inverse @ X0) != (identity))
% 0.54/0.85 | ((X0) != (identity))
% 0.54/0.85 | ((inverse @ X1) != (identity))
% 0.54/0.85 | ((X1) != (identity))
% 0.54/0.85 | ((identity) != (identity)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl1578, zip_derived_cl457])).
% 0.54/0.85 thf(zip_derived_cl1580, plain,
% 0.54/0.85 (![X0 : $i, X1 : $i]:
% 0.54/0.85 (((X1) != (identity))
% 0.54/0.85 | ((inverse @ X1) != (identity))
% 0.54/0.85 | ((X0) != (identity))
% 0.54/0.85 | ((inverse @ X0) != (identity)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl1579])).
% 0.54/0.85 thf(zip_derived_cl1581, plain,
% 0.54/0.85 (![X0 : $i]:
% 0.54/0.85 (((inverse @ X0) != (identity))
% 0.54/0.85 | ((X0) != (identity))
% 0.54/0.85 | ((inverse @ identity) != (identity)))),
% 0.54/0.85 inference('eq_res', [status(thm)], [zip_derived_cl1580])).
% 0.54/0.85 thf(zip_derived_cl457, plain, (((inverse @ identity) = (identity))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl1582, plain,
% 0.54/0.85 (![X0 : $i]:
% 0.54/0.85 (((inverse @ X0) != (identity))
% 0.54/0.85 | ((X0) != (identity))
% 0.54/0.85 | ((identity) != (identity)))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl1581, zip_derived_cl457])).
% 0.54/0.85 thf(zip_derived_cl1583, plain,
% 0.54/0.85 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl1582])).
% 0.54/0.85 thf(zip_derived_cl1584, plain, (((inverse @ identity) != (identity))),
% 0.54/0.85 inference('eq_res', [status(thm)], [zip_derived_cl1583])).
% 0.54/0.85 thf(zip_derived_cl457, plain, (((inverse @ identity) = (identity))),
% 0.54/0.85 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.54/0.85 thf(zip_derived_cl1585, plain, (((identity) != (identity))),
% 0.54/0.85 inference('demod', [status(thm)], [zip_derived_cl1584, zip_derived_cl457])).
% 0.54/0.85 thf(zip_derived_cl1586, plain, ($false),
% 0.54/0.85 inference('simplify', [status(thm)], [zip_derived_cl1585])).
% 0.54/0.85
% 0.54/0.85 % SZS output end Refutation
% 0.54/0.85
% 0.54/0.85
% 0.54/0.85 % Terminating...
% 0.55/0.94 % Runner terminated.
% 0.55/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------