TSTP Solution File: GRP307-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP307-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tdwDjAZbvm true
% Computer : n020.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 01:51:08 EDT 2023
% Result : Unsatisfiable 1.42s 0.99s
% Output : Refutation 1.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP307-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tdwDjAZbvm true
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 01:26:13 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.18/0.55 % Total configuration time : 435
% 0.18/0.55 % Estimated wc time : 1092
% 0.18/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.73/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.73/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.73/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.73/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.73/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.73/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.42/0.99 % Solved by fo/fo7.sh.
% 1.42/0.99 % done 482 iterations in 0.277s
% 1.42/0.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.42/0.99 % SZS output start Refutation
% 1.42/0.99 thf(sk_c8_type, type, sk_c8: $i).
% 1.42/0.99 thf(sk_c9_type, type, sk_c9: $i).
% 1.42/0.99 thf(sk_c5_type, type, sk_c5: $i).
% 1.42/0.99 thf(sk_c4_type, type, sk_c4: $i).
% 1.42/0.99 thf(identity_type, type, identity: $i).
% 1.42/0.99 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.42/0.99 thf(sk_c10_type, type, sk_c10: $i).
% 1.42/0.99 thf(sk_c1_type, type, sk_c1: $i).
% 1.42/0.99 thf(inverse_type, type, inverse: $i > $i).
% 1.42/0.99 thf(sk_c3_type, type, sk_c3: $i).
% 1.42/0.99 thf(sk_c2_type, type, sk_c2: $i).
% 1.42/0.99 thf(sk_c11_type, type, sk_c11: $i).
% 1.42/0.99 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.42/0.99 thf(zip_derived_cl0, plain,
% 1.42/0.99 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.99 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.99 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.42/0.99 thf(zip_derived_cl1, plain,
% 1.42/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.99 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.99 thf(associativity, axiom,
% 1.42/0.99 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.42/0.99 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.42/0.99 thf(zip_derived_cl2, plain,
% 1.42/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.99 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/0.99 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/0.99 inference('cnf', [status(esa)], [associativity])).
% 1.42/0.99 thf(zip_derived_cl182, plain,
% 1.42/0.99 (![X0 : $i, X1 : $i]:
% 1.42/0.99 ((multiply @ identity @ X0)
% 1.42/0.99 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.99 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.42/0.99 thf(zip_derived_cl0, plain,
% 1.42/0.99 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.99 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.99 thf(zip_derived_cl226, plain,
% 1.42/0.99 (![X0 : $i, X1 : $i]:
% 1.42/0.99 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.99 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl0])).
% 1.42/0.99 thf(zip_derived_cl243, plain,
% 1.42/0.99 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.42/0.99 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl226])).
% 1.42/0.99 thf(zip_derived_cl226, plain,
% 1.42/0.99 (![X0 : $i, X1 : $i]:
% 1.42/0.99 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.99 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl0])).
% 1.42/0.99 thf(zip_derived_cl313, plain,
% 1.42/0.99 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.42/0.99 inference('sup+', [status(thm)], [zip_derived_cl243, zip_derived_cl226])).
% 1.42/0.99 thf(zip_derived_cl1, plain,
% 1.42/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.99 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.99 thf(zip_derived_cl1192, plain, (((inverse @ identity) = (identity))),
% 1.42/0.99 inference('sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl1])).
% 1.42/0.99 thf(prove_this_61, conjecture,
% 1.42/0.99 (~( ( ( multiply @ X7 @ X6 ) != ( X8 ) ) |
% 1.42/0.99 ( ( inverse @ X8 ) != ( X6 ) ) | ( ( inverse @ X7 ) != ( X8 ) ) |
% 1.42/0.99 ( ( multiply @ X6 @ sk_c10 ) != ( sk_c11 ) ) |
% 1.42/0.99 ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.42/0.99 ( ( multiply @ X5 @ X6 ) != ( sk_c11 ) ) |
% 1.42/1.00 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 1.42/1.00 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.42/1.00 ( ( inverse @ X1 ) != ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c10 ) ) |
% 1.42/1.00 ( ( inverse @ X4 ) != ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ X4 @ sk_c11 ) != ( X3 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c11 @ X3 ) != ( sk_c10 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c9 @ sk_c10 ) != ( sk_c11 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c11 ) != ( sk_c9 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c11 @ sk_c10 ) != ( sk_c9 ) ) ))).
% 1.42/1.00 thf(zf_stmt_0, negated_conjecture,
% 1.42/1.00 (( ( multiply @ X7 @ X6 ) != ( X8 ) ) | ( ( inverse @ X8 ) != ( X6 ) ) |
% 1.42/1.00 ( ( inverse @ X7 ) != ( X8 ) ) |
% 1.42/1.00 ( ( multiply @ X6 @ sk_c10 ) != ( sk_c11 ) ) |
% 1.42/1.00 ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.42/1.00 ( ( multiply @ X5 @ X6 ) != ( sk_c11 ) ) |
% 1.42/1.00 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 1.42/1.00 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.42/1.00 ( ( inverse @ X1 ) != ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c10 ) ) |
% 1.42/1.00 ( ( inverse @ X4 ) != ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ X4 @ sk_c11 ) != ( X3 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c11 @ X3 ) != ( sk_c10 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c9 @ sk_c10 ) != ( sk_c11 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c11 ) != ( sk_c9 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c11 @ sk_c10 ) != ( sk_c9 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_61])).
% 1.42/1.00 thf(zip_derived_cl63, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.42/1.00 (((multiply @ X1 @ X2) != (X0))
% 1.42/1.00 | ((inverse @ X0) != (X2))
% 1.42/1.00 | ((inverse @ X1) != (X0))
% 1.42/1.00 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 1.42/1.00 | ((inverse @ X3) != (X2))
% 1.42/1.00 | ((multiply @ X3 @ X2) != (sk_c11))
% 1.42/1.00 | ((inverse @ X4) != (sk_c10))
% 1.42/1.00 | ((multiply @ X4 @ sk_c10) != (sk_c9))
% 1.42/1.00 | ((inverse @ X5) != (sk_c11))
% 1.42/1.00 | ((multiply @ X5 @ sk_c11) != (sk_c10))
% 1.42/1.00 | ((inverse @ X6) != (sk_c11))
% 1.42/1.00 | ((multiply @ X6 @ sk_c11) != (X7))
% 1.42/1.00 | ((multiply @ sk_c11 @ X7) != (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c9 @ sk_c10) != (sk_c11))
% 1.42/1.00 | ((inverse @ sk_c11) != (sk_c9))
% 1.42/1.00 | ((multiply @ sk_c11 @ sk_c10) != (sk_c9)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.42/1.00 thf(zip_derived_cl64, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.42/1.00 (((multiply @ X1 @ X2) != (X0))
% 1.42/1.00 | ((inverse @ X0) != (X2))
% 1.42/1.00 | ((inverse @ X1) != (X0))
% 1.42/1.00 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 1.42/1.00 | ((inverse @ X3) != (X2))
% 1.42/1.00 | ((multiply @ X3 @ X2) != (sk_c11))
% 1.42/1.00 | ((inverse @ X4) != (sk_c10))
% 1.42/1.00 | ((multiply @ X4 @ sk_c10) != (multiply @ sk_c11 @ sk_c10))
% 1.42/1.00 | ((inverse @ X5) != (sk_c11))
% 1.42/1.00 | ((multiply @ X5 @ sk_c11) != (sk_c10))
% 1.42/1.00 | ((inverse @ X6) != (sk_c11))
% 1.42/1.00 | ((multiply @ X6 @ sk_c11) != (X7))
% 1.42/1.00 | ((multiply @ sk_c11 @ X7) != (sk_c10))
% 1.42/1.00 | ((multiply @ (multiply @ sk_c11 @ sk_c10) @ sk_c10) != (sk_c11))
% 1.42/1.00 | ((inverse @ sk_c11) != (sk_c9))
% 1.42/1.00 | ((multiply @ sk_c11 @ sk_c10) != (sk_c9)))),
% 1.42/1.00 inference('local_rewriting', [status(thm)], [zip_derived_cl63])).
% 1.42/1.00 thf(zip_derived_cl2, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/1.00 inference('cnf', [status(esa)], [associativity])).
% 1.42/1.00 thf(zip_derived_cl178, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.42/1.00 (((multiply @ X1 @ X2) != (X0))
% 1.42/1.00 | ((inverse @ X0) != (X2))
% 1.42/1.00 | ((inverse @ X1) != (X0))
% 1.42/1.00 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 1.42/1.00 | ((inverse @ X3) != (X2))
% 1.42/1.00 | ((multiply @ X3 @ X2) != (sk_c11))
% 1.42/1.00 | ((inverse @ X4) != (sk_c10))
% 1.42/1.00 | ((multiply @ X4 @ sk_c10) != (multiply @ sk_c11 @ sk_c10))
% 1.42/1.00 | ((inverse @ X5) != (sk_c11))
% 1.42/1.00 | ((multiply @ X5 @ sk_c11) != (sk_c10))
% 1.42/1.00 | ((inverse @ X6) != (sk_c11))
% 1.42/1.00 | ((multiply @ X6 @ sk_c11) != (X7))
% 1.42/1.00 | ((multiply @ sk_c11 @ X7) != (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c11 @ (multiply @ sk_c10 @ sk_c10)) != (sk_c11))
% 1.42/1.00 | ((inverse @ sk_c11) != (sk_c9))
% 1.42/1.00 | ((multiply @ sk_c11 @ sk_c10) != (sk_c9)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl2])).
% 1.42/1.00 thf(prove_this_12, conjecture,
% 1.42/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c11 ) = ( sk_c9 ) ) ))).
% 1.42/1.00 thf(zf_stmt_1, negated_conjecture,
% 1.42/1.00 (( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c11 ) = ( sk_c9 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.42/1.00 thf(zip_derived_cl14, plain,
% 1.42/1.00 ((((inverse @ sk_c3) = (sk_c11)) | ((inverse @ sk_c11) = (sk_c9)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl65, plain,
% 1.42/1.00 ((((multiply @ sk_c11 @ sk_c3) = (identity))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl226, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i]:
% 1.42/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl0])).
% 1.42/1.00 thf(zip_derived_cl246, plain,
% 1.42/1.00 ((((sk_c3) = (multiply @ (inverse @ sk_c11) @ identity))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl226])).
% 1.42/1.00 thf(prove_this_11, conjecture,
% 1.42/1.00 (~( ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c11 ) = ( sk_c9 ) ) ))).
% 1.42/1.00 thf(zf_stmt_2, negated_conjecture,
% 1.42/1.00 (( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c11 ) = ( sk_c9 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.42/1.00 thf(zip_derived_cl13, plain,
% 1.42/1.00 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.42/1.00 thf(zip_derived_cl317, plain,
% 1.42/1.00 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c11)
% 1.42/1.00 = (sk_c10))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl246, zip_derived_cl13])).
% 1.42/1.00 thf(zip_derived_cl2, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/1.00 inference('cnf', [status(esa)], [associativity])).
% 1.42/1.00 thf(zip_derived_cl0, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_identity])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl324, plain,
% 1.42/1.00 ((((identity) = (sk_c10))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl317, zip_derived_cl2, zip_derived_cl0,
% 1.42/1.00 zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl325, plain,
% 1.42/1.00 ((((inverse @ sk_c11) = (sk_c9)) | ((identity) = (sk_c10)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl324])).
% 1.42/1.00 thf(prove_this_52, conjecture,
% 1.42/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 1.42/1.00 thf(zf_stmt_3, negated_conjecture,
% 1.42/1.00 (( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_52])).
% 1.42/1.00 thf(zip_derived_cl54, plain,
% 1.42/1.00 ((((inverse @ sk_c3) = (sk_c11)) | ((inverse @ sk_c1) = (sk_c11)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl80, plain,
% 1.42/1.00 ((((multiply @ sk_c11 @ sk_c1) = (identity))
% 1.42/1.00 | ((inverse @ sk_c3) = (sk_c11)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl226, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i]:
% 1.42/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl0])).
% 1.42/1.00 thf(zip_derived_cl260, plain,
% 1.42/1.00 ((((sk_c1) = (multiply @ (inverse @ sk_c11) @ identity))
% 1.42/1.00 | ((inverse @ sk_c3) = (sk_c11)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl226])).
% 1.42/1.00 thf(prove_this_42, conjecture,
% 1.42/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c2 ) ) ))).
% 1.42/1.00 thf(zf_stmt_4, negated_conjecture,
% 1.42/1.00 (( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c2 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_42])).
% 1.42/1.00 thf(zip_derived_cl44, plain,
% 1.42/1.00 ((((inverse @ sk_c3) = (sk_c11))
% 1.42/1.00 | ((multiply @ sk_c1 @ sk_c11) = (sk_c2)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.42/1.00 thf(zip_derived_cl756, plain,
% 1.42/1.00 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c11)
% 1.42/1.00 = (sk_c2))
% 1.42/1.00 | ((inverse @ sk_c3) = (sk_c11))
% 1.42/1.00 | ((inverse @ sk_c3) = (sk_c11)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl44])).
% 1.42/1.00 thf(zip_derived_cl2, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/1.00 inference('cnf', [status(esa)], [associativity])).
% 1.42/1.00 thf(zip_derived_cl0, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_identity])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl782, plain,
% 1.42/1.00 ((((identity) = (sk_c2))
% 1.42/1.00 | ((inverse @ sk_c3) = (sk_c11))
% 1.42/1.00 | ((inverse @ sk_c3) = (sk_c11)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl756, zip_derived_cl2, zip_derived_cl0,
% 1.42/1.00 zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl783, plain,
% 1.42/1.00 ((((inverse @ sk_c3) = (sk_c11)) | ((identity) = (sk_c2)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl782])).
% 1.42/1.00 thf(prove_this_32, conjecture,
% 1.42/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c11 @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.42/1.00 thf(zf_stmt_5, negated_conjecture,
% 1.42/1.00 (( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c11 @ sk_c2 ) = ( sk_c10 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 1.42/1.00 thf(zip_derived_cl34, plain,
% 1.42/1.00 ((((inverse @ sk_c3) = (sk_c11))
% 1.42/1.00 | ((multiply @ sk_c11 @ sk_c2) = (sk_c10)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.42/1.00 thf(zip_derived_cl795, plain,
% 1.42/1.00 ((((multiply @ sk_c11 @ identity) = (sk_c10))
% 1.42/1.00 | ((inverse @ sk_c3) = (sk_c11))
% 1.42/1.00 | ((inverse @ sk_c3) = (sk_c11)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl783, zip_derived_cl34])).
% 1.42/1.00 thf(zip_derived_cl810, plain,
% 1.42/1.00 ((((inverse @ sk_c3) = (sk_c11))
% 1.42/1.00 | ((multiply @ sk_c11 @ identity) = (sk_c10)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl795])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl226, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i]:
% 1.42/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl0])).
% 1.42/1.00 thf(zip_derived_cl244, plain,
% 1.42/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl226])).
% 1.42/1.00 thf(zip_derived_cl1034, plain,
% 1.42/1.00 ((((sk_c3) = (multiply @ (inverse @ sk_c11) @ identity))
% 1.42/1.00 | ((multiply @ sk_c11 @ identity) = (sk_c10)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl810, zip_derived_cl244])).
% 1.42/1.00 thf(zip_derived_cl244, plain,
% 1.42/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl226])).
% 1.42/1.00 thf(zip_derived_cl226, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i]:
% 1.42/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl0])).
% 1.42/1.00 thf(zip_derived_cl226, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i]:
% 1.42/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl0])).
% 1.42/1.00 thf(zip_derived_cl241, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i]:
% 1.42/1.00 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl226, zip_derived_cl226])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl1415, plain,
% 1.42/1.00 ((((sk_c3) = (inverse @ sk_c11)) | ((sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl1034, zip_derived_cl1358, zip_derived_cl1358])).
% 1.42/1.00 thf(prove_this_51, conjecture,
% 1.42/1.00 (~( ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 1.42/1.00 thf(zf_stmt_6, negated_conjecture,
% 1.42/1.00 (( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_51])).
% 1.42/1.00 thf(zip_derived_cl53, plain,
% 1.42/1.00 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.42/1.00 | ((inverse @ sk_c1) = (sk_c11)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl244, plain,
% 1.42/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl226])).
% 1.42/1.00 thf(zip_derived_cl1425, plain,
% 1.42/1.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1358, zip_derived_cl244])).
% 1.42/1.00 thf(zip_derived_cl1697, plain,
% 1.42/1.00 ((((sk_c1) = (inverse @ sk_c11))
% 1.42/1.00 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl1425])).
% 1.42/1.00 thf(prove_this_41, conjecture,
% 1.42/1.00 (~( ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c2 ) ) ))).
% 1.42/1.00 thf(zf_stmt_7, negated_conjecture,
% 1.42/1.00 (( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c2 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_41])).
% 1.42/1.00 thf(zip_derived_cl43, plain,
% 1.42/1.00 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c1 @ sk_c11) = (sk_c2)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.42/1.00 thf(zip_derived_cl2268, plain,
% 1.42/1.00 ((((multiply @ (inverse @ sk_c11) @ sk_c11) = (sk_c2))
% 1.42/1.00 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1697, zip_derived_cl43])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl2296, plain,
% 1.42/1.00 ((((identity) = (sk_c2))
% 1.42/1.00 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl2268, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl2297, plain,
% 1.42/1.00 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10)) | ((identity) = (sk_c2)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl2296])).
% 1.42/1.00 thf(prove_this_31, conjecture,
% 1.42/1.00 (~( ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c11 @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.42/1.00 thf(zf_stmt_8, negated_conjecture,
% 1.42/1.00 (( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c11 @ sk_c2 ) = ( sk_c10 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.42/1.00 thf(zip_derived_cl33, plain,
% 1.42/1.00 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c11 @ sk_c2) = (sk_c10)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.42/1.00 thf(zip_derived_cl2327, plain,
% 1.42/1.00 ((((multiply @ sk_c11 @ identity) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl2297, zip_derived_cl33])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl2343, plain,
% 1.42/1.00 ((((sk_c11) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl2327, zip_derived_cl1358])).
% 1.42/1.00 thf(zip_derived_cl2344, plain,
% 1.42/1.00 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10)) | ((sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl2343])).
% 1.42/1.00 thf(zip_derived_cl2843, plain,
% 1.42/1.00 ((((multiply @ (inverse @ sk_c11) @ sk_c11) = (sk_c10))
% 1.42/1.00 | ((sk_c11) = (sk_c10))
% 1.42/1.00 | ((sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1415, zip_derived_cl2344])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl2847, plain,
% 1.42/1.00 ((((identity) = (sk_c10)) | ((sk_c11) = (sk_c10)) | ((sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl2843, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl2848, plain,
% 1.42/1.00 ((((sk_c11) = (sk_c10)) | ((identity) = (sk_c10)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl2847])).
% 1.42/1.00 thf(prove_this_22, conjecture,
% 1.42/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 1.42/1.00 thf(zf_stmt_9, negated_conjecture,
% 1.42/1.00 (( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c11 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.42/1.00 thf(zip_derived_cl24, plain,
% 1.42/1.00 ((((inverse @ sk_c3) = (sk_c11))
% 1.42/1.00 | ((multiply @ sk_c9 @ sk_c10) = (sk_c11)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.42/1.00 thf(zip_derived_cl1425, plain,
% 1.42/1.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1358, zip_derived_cl244])).
% 1.42/1.00 thf(zip_derived_cl1684, plain,
% 1.42/1.00 ((((sk_c3) = (inverse @ sk_c11))
% 1.42/1.00 | ((multiply @ sk_c9 @ sk_c10) = (sk_c11)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1425])).
% 1.42/1.00 thf(prove_this_21, conjecture,
% 1.42/1.00 (~( ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 1.42/1.00 thf(zf_stmt_10, negated_conjecture,
% 1.42/1.00 (( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c11 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.42/1.00 thf(zip_derived_cl23, plain,
% 1.42/1.00 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c9 @ sk_c10) = (sk_c11)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.42/1.00 thf(zip_derived_cl2201, plain,
% 1.42/1.00 ((((multiply @ (inverse @ sk_c11) @ sk_c11) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c9 @ sk_c10) = (sk_c11))
% 1.42/1.00 | ((multiply @ sk_c9 @ sk_c10) = (sk_c11)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1684, zip_derived_cl23])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl2211, plain,
% 1.42/1.00 ((((identity) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c9 @ sk_c10) = (sk_c11))
% 1.42/1.00 | ((multiply @ sk_c9 @ sk_c10) = (sk_c11)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl2201, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl2212, plain,
% 1.42/1.00 ((((multiply @ sk_c9 @ sk_c10) = (sk_c11)) | ((identity) = (sk_c10)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl2211])).
% 1.42/1.00 thf(zip_derived_cl2866, plain,
% 1.42/1.00 ((((multiply @ sk_c9 @ sk_c11) = (sk_c11))
% 1.42/1.00 | ((identity) = (sk_c10))
% 1.42/1.00 | ((identity) = (sk_c10)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl2848, zip_derived_cl2212])).
% 1.42/1.00 thf(zip_derived_cl2871, plain,
% 1.42/1.00 ((((identity) = (sk_c10)) | ((multiply @ sk_c9 @ sk_c11) = (sk_c11)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl2866])).
% 1.42/1.00 thf(zip_derived_cl3198, plain,
% 1.42/1.00 ((((multiply @ (inverse @ sk_c11) @ sk_c11) = (sk_c11))
% 1.42/1.00 | ((identity) = (sk_c10))
% 1.42/1.00 | ((identity) = (sk_c10)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl325, zip_derived_cl2871])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl3206, plain,
% 1.42/1.00 ((((identity) = (sk_c11))
% 1.42/1.00 | ((identity) = (sk_c10))
% 1.42/1.00 | ((identity) = (sk_c10)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl3198, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl3207, plain,
% 1.42/1.00 ((((identity) = (sk_c10)) | ((identity) = (sk_c11)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3206])).
% 1.42/1.00 thf(zip_derived_cl2848, plain,
% 1.42/1.00 ((((sk_c11) = (sk_c10)) | ((identity) = (sk_c10)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl2847])).
% 1.42/1.00 thf(zip_derived_cl2868, plain,
% 1.42/1.00 ((((sk_c11) != (identity)) | ((identity) = (sk_c10)))),
% 1.42/1.00 inference('eq_fact', [status(thm)], [zip_derived_cl2848])).
% 1.42/1.00 thf(zip_derived_cl3216, plain, (((identity) = (sk_c10))),
% 1.42/1.00 inference('clc', [status(thm)], [zip_derived_cl3207, zip_derived_cl2868])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl3216, plain, (((identity) = (sk_c10))),
% 1.42/1.00 inference('clc', [status(thm)], [zip_derived_cl3207, zip_derived_cl2868])).
% 1.42/1.00 thf(zip_derived_cl3216, plain, (((identity) = (sk_c10))),
% 1.42/1.00 inference('clc', [status(thm)], [zip_derived_cl3207, zip_derived_cl2868])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl3216, plain, (((identity) = (sk_c10))),
% 1.42/1.00 inference('clc', [status(thm)], [zip_derived_cl3207, zip_derived_cl2868])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl3216, plain, (((identity) = (sk_c10))),
% 1.42/1.00 inference('clc', [status(thm)], [zip_derived_cl3207, zip_derived_cl2868])).
% 1.42/1.00 thf(zip_derived_cl3216, plain, (((identity) = (sk_c10))),
% 1.42/1.00 inference('clc', [status(thm)], [zip_derived_cl3207, zip_derived_cl2868])).
% 1.42/1.00 thf(zip_derived_cl3216, plain, (((identity) = (sk_c10))),
% 1.42/1.00 inference('clc', [status(thm)], [zip_derived_cl3207, zip_derived_cl2868])).
% 1.42/1.00 thf(zip_derived_cl3216, plain, (((identity) = (sk_c10))),
% 1.42/1.00 inference('clc', [status(thm)], [zip_derived_cl3207, zip_derived_cl2868])).
% 1.42/1.00 thf(zip_derived_cl0, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_identity])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl3216, plain, (((identity) = (sk_c10))),
% 1.42/1.00 inference('clc', [status(thm)], [zip_derived_cl3207, zip_derived_cl2868])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl3274, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.42/1.00 (((multiply @ X1 @ X2) != (X0))
% 1.42/1.00 | ((inverse @ X0) != (X2))
% 1.42/1.00 | ((inverse @ X1) != (X0))
% 1.42/1.00 | ((X2) != (sk_c11))
% 1.42/1.00 | ((inverse @ X3) != (X2))
% 1.42/1.00 | ((multiply @ X3 @ X2) != (sk_c11))
% 1.42/1.00 | ((inverse @ X4) != (identity))
% 1.42/1.00 | ((X4) != (sk_c11))
% 1.42/1.00 | ((inverse @ X5) != (sk_c11))
% 1.42/1.00 | ((multiply @ X5 @ sk_c11) != (identity))
% 1.42/1.00 | ((inverse @ X6) != (sk_c11))
% 1.42/1.00 | ((multiply @ X6 @ sk_c11) != (X7))
% 1.42/1.00 | ((multiply @ sk_c11 @ X7) != (identity))
% 1.42/1.00 | ((sk_c11) != (sk_c11))
% 1.42/1.00 | ((inverse @ sk_c11) != (sk_c9))
% 1.42/1.00 | ((sk_c11) != (sk_c9)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl178, zip_derived_cl3216, zip_derived_cl1358,
% 1.42/1.00 zip_derived_cl3216, zip_derived_cl3216, zip_derived_cl1358,
% 1.42/1.00 zip_derived_cl3216, zip_derived_cl1358, zip_derived_cl3216,
% 1.42/1.00 zip_derived_cl3216, zip_derived_cl3216, zip_derived_cl3216,
% 1.42/1.00 zip_derived_cl0, zip_derived_cl1358, zip_derived_cl3216,
% 1.42/1.00 zip_derived_cl1358])).
% 1.42/1.00 thf(zip_derived_cl3275, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.42/1.00 (((sk_c11) != (sk_c9))
% 1.42/1.00 | ((inverse @ sk_c11) != (sk_c9))
% 1.42/1.00 | ((multiply @ sk_c11 @ X7) != (identity))
% 1.42/1.00 | ((multiply @ X6 @ sk_c11) != (X7))
% 1.42/1.00 | ((inverse @ X6) != (sk_c11))
% 1.42/1.00 | ((multiply @ X5 @ sk_c11) != (identity))
% 1.42/1.00 | ((inverse @ X5) != (sk_c11))
% 1.42/1.00 | ((X4) != (sk_c11))
% 1.42/1.00 | ((inverse @ X4) != (identity))
% 1.42/1.00 | ((multiply @ X3 @ X2) != (sk_c11))
% 1.42/1.00 | ((inverse @ X3) != (X2))
% 1.42/1.00 | ((X2) != (sk_c11))
% 1.42/1.00 | ((inverse @ X1) != (X0))
% 1.42/1.00 | ((inverse @ X0) != (X2))
% 1.42/1.00 | ((multiply @ X1 @ X2) != (X0)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3274])).
% 1.42/1.00 thf(prove_this_56, conjecture,
% 1.42/1.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 1.42/1.00 thf(zf_stmt_11, negated_conjecture,
% 1.42/1.00 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_56])).
% 1.42/1.00 thf(zip_derived_cl58, plain,
% 1.42/1.00 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c11)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl76, plain,
% 1.42/1.00 ((((multiply @ sk_c11 @ sk_c1) = (identity))
% 1.42/1.00 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl226, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i]:
% 1.42/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl0])).
% 1.42/1.00 thf(zip_derived_cl258, plain,
% 1.42/1.00 ((((sk_c1) = (multiply @ (inverse @ sk_c11) @ identity))
% 1.42/1.00 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl226])).
% 1.42/1.00 thf(prove_this_46, conjecture,
% 1.42/1.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c2 ) ) ))).
% 1.42/1.00 thf(zf_stmt_12, negated_conjecture,
% 1.42/1.00 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c2 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_46])).
% 1.42/1.00 thf(zip_derived_cl48, plain,
% 1.42/1.00 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c11) = (sk_c2)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.42/1.00 thf(zip_derived_cl355, plain,
% 1.42/1.00 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c11)
% 1.42/1.00 = (sk_c2))
% 1.42/1.00 | ((inverse @ sk_c5) = (sk_c8))
% 1.42/1.00 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl48])).
% 1.42/1.00 thf(zip_derived_cl2, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/1.00 inference('cnf', [status(esa)], [associativity])).
% 1.42/1.00 thf(zip_derived_cl0, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_identity])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl379, plain,
% 1.42/1.00 ((((identity) = (sk_c2))
% 1.42/1.00 | ((inverse @ sk_c5) = (sk_c8))
% 1.42/1.00 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl355, zip_derived_cl2, zip_derived_cl0,
% 1.42/1.00 zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl380, plain,
% 1.42/1.00 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c2)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl379])).
% 1.42/1.00 thf(prove_this_36, conjecture,
% 1.42/1.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c11 @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.42/1.00 thf(zf_stmt_13, negated_conjecture,
% 1.42/1.00 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c11 @ sk_c2 ) = ( sk_c10 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 1.42/1.00 thf(zip_derived_cl38, plain,
% 1.42/1.00 ((((inverse @ sk_c5) = (sk_c8))
% 1.42/1.00 | ((multiply @ sk_c11 @ sk_c2) = (sk_c10)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.42/1.00 thf(zip_derived_cl391, plain,
% 1.42/1.00 ((((multiply @ sk_c11 @ identity) = (sk_c10))
% 1.42/1.00 | ((inverse @ sk_c5) = (sk_c8))
% 1.42/1.00 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl380, zip_derived_cl38])).
% 1.42/1.00 thf(zip_derived_cl398, plain,
% 1.42/1.00 ((((inverse @ sk_c5) = (sk_c8))
% 1.42/1.00 | ((multiply @ sk_c11 @ identity) = (sk_c10)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl391])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl1407, plain,
% 1.42/1.00 ((((inverse @ sk_c5) = (sk_c8)) | ((sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl398, zip_derived_cl1358])).
% 1.42/1.00 thf(prove_this_55, conjecture,
% 1.42/1.00 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 1.42/1.00 thf(zf_stmt_14, negated_conjecture,
% 1.42/1.00 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_55])).
% 1.42/1.00 thf(zip_derived_cl57, plain,
% 1.42/1.00 ((((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 1.42/1.00 | ((inverse @ sk_c1) = (sk_c11)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.42/1.00 thf(zip_derived_cl1425, plain,
% 1.42/1.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1358, zip_derived_cl244])).
% 1.42/1.00 thf(zip_derived_cl1701, plain,
% 1.42/1.00 ((((sk_c1) = (inverse @ sk_c11))
% 1.42/1.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl1425])).
% 1.42/1.00 thf(prove_this_45, conjecture,
% 1.42/1.00 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c2 ) ) ))).
% 1.42/1.00 thf(zf_stmt_15, negated_conjecture,
% 1.42/1.00 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c2 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_45])).
% 1.42/1.00 thf(zip_derived_cl47, plain,
% 1.42/1.00 ((((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 1.42/1.00 | ((multiply @ sk_c1 @ sk_c11) = (sk_c2)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.42/1.00 thf(zip_derived_cl2501, plain,
% 1.42/1.00 ((((multiply @ (inverse @ sk_c11) @ sk_c11) = (sk_c2))
% 1.42/1.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 1.42/1.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1701, zip_derived_cl47])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl2529, plain,
% 1.42/1.00 ((((identity) = (sk_c2))
% 1.42/1.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 1.42/1.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl2501, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl2530, plain,
% 1.42/1.00 ((((multiply @ sk_c5 @ sk_c8) = (sk_c11)) | ((identity) = (sk_c2)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl2529])).
% 1.42/1.00 thf(prove_this_35, conjecture,
% 1.42/1.00 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c11 @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.42/1.00 thf(zf_stmt_16, negated_conjecture,
% 1.42/1.00 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 1.42/1.00 ( ( multiply @ sk_c11 @ sk_c2 ) = ( sk_c10 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_35])).
% 1.42/1.00 thf(zip_derived_cl37, plain,
% 1.42/1.00 ((((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 1.42/1.00 | ((multiply @ sk_c11 @ sk_c2) = (sk_c10)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.42/1.00 thf(zip_derived_cl2559, plain,
% 1.42/1.00 ((((multiply @ sk_c11 @ identity) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 1.42/1.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl2530, zip_derived_cl37])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl2575, plain,
% 1.42/1.00 ((((sk_c11) = (sk_c10))
% 1.42/1.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 1.42/1.00 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl2559, zip_derived_cl1358])).
% 1.42/1.00 thf(zip_derived_cl2576, plain,
% 1.42/1.00 ((((multiply @ sk_c5 @ sk_c8) = (sk_c11)) | ((sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl2575])).
% 1.42/1.00 thf(zip_derived_cl2987, plain,
% 1.42/1.00 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c11))
% 1.42/1.00 | ((sk_c11) = (sk_c10))
% 1.42/1.00 | ((sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1407, zip_derived_cl2576])).
% 1.42/1.00 thf(zip_derived_cl1425, plain,
% 1.42/1.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1358, zip_derived_cl244])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl1670, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl1425, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl2992, plain,
% 1.42/1.00 ((((identity) = (sk_c11)) | ((sk_c11) = (sk_c10)) | ((sk_c11) = (sk_c10)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl2987, zip_derived_cl1670])).
% 1.42/1.00 thf(zip_derived_cl2993, plain,
% 1.42/1.00 ((((sk_c11) = (sk_c10)) | ((identity) = (sk_c11)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl2992])).
% 1.42/1.00 thf(zip_derived_cl3216, plain, (((identity) = (sk_c10))),
% 1.42/1.00 inference('clc', [status(thm)], [zip_derived_cl3207, zip_derived_cl2868])).
% 1.42/1.00 thf(zip_derived_cl3335, plain,
% 1.42/1.00 ((((sk_c11) = (identity)) | ((identity) = (sk_c11)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl2993, zip_derived_cl3216])).
% 1.42/1.00 thf(zip_derived_cl3336, plain, (((sk_c11) = (identity))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3335])).
% 1.42/1.00 thf(prove_this_14, conjecture,
% 1.42/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c11 ) = ( sk_c9 ) ) ))).
% 1.42/1.00 thf(zf_stmt_17, negated_conjecture,
% 1.42/1.00 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c11 ) = ( sk_c9 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.42/1.00 thf(zip_derived_cl16, plain,
% 1.42/1.00 ((((inverse @ sk_c4) = (sk_c10)) | ((inverse @ sk_c11) = (sk_c9)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl66, plain,
% 1.42/1.00 ((((multiply @ sk_c10 @ sk_c4) = (identity))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl226, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i]:
% 1.42/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/1.00 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl0])).
% 1.42/1.00 thf(zip_derived_cl264, plain,
% 1.42/1.00 ((((sk_c4) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl226])).
% 1.42/1.00 thf(prove_this_13, conjecture,
% 1.42/1.00 (~( ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c11 ) = ( sk_c9 ) ) ))).
% 1.42/1.00 thf(zf_stmt_18, negated_conjecture,
% 1.42/1.00 (( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.42/1.00 ( ( inverse @ sk_c11 ) = ( sk_c9 ) )),
% 1.42/1.00 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.42/1.00 thf(zip_derived_cl15, plain,
% 1.42/1.00 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9)))),
% 1.42/1.00 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.42/1.00 thf(zip_derived_cl499, plain,
% 1.42/1.00 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 1.42/1.00 = (sk_c9))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9)))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl264, zip_derived_cl15])).
% 1.42/1.00 thf(zip_derived_cl2, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/1.00 inference('cnf', [status(esa)], [associativity])).
% 1.42/1.00 thf(zip_derived_cl0, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_identity])).
% 1.42/1.00 thf(zip_derived_cl1, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/1.00 thf(zip_derived_cl506, plain,
% 1.42/1.00 ((((identity) = (sk_c9))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9))
% 1.42/1.00 | ((inverse @ sk_c11) = (sk_c9)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl499, zip_derived_cl2, zip_derived_cl0,
% 1.42/1.00 zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl507, plain,
% 1.42/1.00 ((((inverse @ sk_c11) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl506])).
% 1.42/1.00 thf(zip_derived_cl3336, plain, (((sk_c11) = (identity))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3335])).
% 1.42/1.00 thf(zip_derived_cl1192, plain, (((inverse @ identity) = (identity))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl3368, plain,
% 1.42/1.00 ((((identity) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl507, zip_derived_cl3336, zip_derived_cl1192])).
% 1.42/1.00 thf(zip_derived_cl3369, plain, (((identity) = (sk_c9))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3368])).
% 1.42/1.00 thf(zip_derived_cl3336, plain, (((sk_c11) = (identity))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3335])).
% 1.42/1.00 thf(zip_derived_cl1192, plain, (((inverse @ identity) = (identity))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl3369, plain, (((identity) = (sk_c9))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3368])).
% 1.42/1.00 thf(zip_derived_cl3336, plain, (((sk_c11) = (identity))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3335])).
% 1.42/1.00 thf(zip_derived_cl0, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/1.00 inference('cnf', [status(esa)], [left_identity])).
% 1.42/1.00 thf(zip_derived_cl3336, plain, (((sk_c11) = (identity))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3335])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl3336, plain, (((sk_c11) = (identity))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3335])).
% 1.42/1.00 thf(zip_derived_cl3336, plain, (((sk_c11) = (identity))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3335])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl3336, plain, (((sk_c11) = (identity))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3335])).
% 1.42/1.00 thf(zip_derived_cl3336, plain, (((sk_c11) = (identity))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3335])).
% 1.42/1.00 thf(zip_derived_cl3336, plain, (((sk_c11) = (identity))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3335])).
% 1.42/1.00 thf(zip_derived_cl3336, plain, (((sk_c11) = (identity))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3335])).
% 1.42/1.00 thf(zip_derived_cl3401, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.42/1.00 (((identity) != (identity))
% 1.42/1.00 | ((identity) != (identity))
% 1.42/1.00 | ((X7) != (identity))
% 1.42/1.00 | ((X6) != (X7))
% 1.42/1.00 | ((inverse @ X6) != (identity))
% 1.42/1.00 | ((X5) != (identity))
% 1.42/1.00 | ((inverse @ X5) != (identity))
% 1.42/1.00 | ((X4) != (identity))
% 1.42/1.00 | ((inverse @ X4) != (identity))
% 1.42/1.00 | ((multiply @ X3 @ X2) != (identity))
% 1.42/1.00 | ((inverse @ X3) != (X2))
% 1.42/1.00 | ((X2) != (identity))
% 1.42/1.00 | ((inverse @ X1) != (X0))
% 1.42/1.00 | ((inverse @ X0) != (X2))
% 1.42/1.00 | ((multiply @ X1 @ X2) != (X0)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl3275, zip_derived_cl3336, zip_derived_cl3369,
% 1.42/1.00 zip_derived_cl3336, zip_derived_cl1192, zip_derived_cl3369,
% 1.42/1.00 zip_derived_cl3336, zip_derived_cl0, zip_derived_cl3336,
% 1.42/1.00 zip_derived_cl1358, zip_derived_cl3336, zip_derived_cl3336,
% 1.42/1.00 zip_derived_cl1358, zip_derived_cl3336, zip_derived_cl3336,
% 1.42/1.00 zip_derived_cl3336, zip_derived_cl3336])).
% 1.42/1.00 thf(zip_derived_cl3402, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.42/1.00 (((multiply @ X1 @ X2) != (X0))
% 1.42/1.00 | ((inverse @ X0) != (X2))
% 1.42/1.00 | ((inverse @ X1) != (X0))
% 1.42/1.00 | ((X2) != (identity))
% 1.42/1.00 | ((inverse @ X3) != (X2))
% 1.42/1.00 | ((multiply @ X3 @ X2) != (identity))
% 1.42/1.00 | ((inverse @ X4) != (identity))
% 1.42/1.00 | ((X4) != (identity))
% 1.42/1.00 | ((inverse @ X5) != (identity))
% 1.42/1.00 | ((X5) != (identity))
% 1.42/1.00 | ((inverse @ X6) != (identity))
% 1.42/1.00 | ((X6) != (X7))
% 1.42/1.00 | ((X7) != (identity)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3401])).
% 1.42/1.00 thf(zip_derived_cl3403, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.42/1.00 (((X0) != (identity))
% 1.42/1.00 | ((inverse @ X0) != (identity))
% 1.42/1.00 | ((X1) != (identity))
% 1.42/1.00 | ((inverse @ X1) != (identity))
% 1.42/1.00 | ((X2) != (identity))
% 1.42/1.00 | ((inverse @ X2) != (identity))
% 1.42/1.00 | ((multiply @ X4 @ X3) != (identity))
% 1.42/1.00 | ((inverse @ X4) != (X3))
% 1.42/1.00 | ((X3) != (identity))
% 1.42/1.00 | ((inverse @ X5) != (X6))
% 1.42/1.00 | ((inverse @ X6) != (X3))
% 1.42/1.00 | ((multiply @ X5 @ X3) != (X6)))),
% 1.42/1.00 inference('eq_res', [status(thm)], [zip_derived_cl3402])).
% 1.42/1.00 thf(zip_derived_cl3404, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.42/1.00 (((multiply @ X1 @ X0) != (X2))
% 1.42/1.00 | ((inverse @ X2) != (X0))
% 1.42/1.00 | ((inverse @ X1) != (X2))
% 1.42/1.00 | ((X0) != (identity))
% 1.42/1.00 | ((inverse @ X3) != (X0))
% 1.42/1.00 | ((multiply @ X3 @ X0) != (identity))
% 1.42/1.00 | ((inverse @ X4) != (identity))
% 1.42/1.00 | ((X4) != (identity))
% 1.42/1.00 | ((inverse @ X5) != (identity))
% 1.42/1.00 | ((X5) != (identity))
% 1.42/1.00 | ((inverse @ identity) != (identity)))),
% 1.42/1.00 inference('eq_res', [status(thm)], [zip_derived_cl3403])).
% 1.42/1.00 thf(zip_derived_cl1192, plain, (((inverse @ identity) = (identity))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl3405, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.42/1.00 (((multiply @ X1 @ X0) != (X2))
% 1.42/1.00 | ((inverse @ X2) != (X0))
% 1.42/1.00 | ((inverse @ X1) != (X2))
% 1.42/1.00 | ((X0) != (identity))
% 1.42/1.00 | ((inverse @ X3) != (X0))
% 1.42/1.00 | ((multiply @ X3 @ X0) != (identity))
% 1.42/1.00 | ((inverse @ X4) != (identity))
% 1.42/1.00 | ((X4) != (identity))
% 1.42/1.00 | ((inverse @ X5) != (identity))
% 1.42/1.00 | ((X5) != (identity))
% 1.42/1.00 | ((identity) != (identity)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl3404, zip_derived_cl1192])).
% 1.42/1.00 thf(zip_derived_cl3406, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.42/1.00 (((X5) != (identity))
% 1.42/1.00 | ((inverse @ X5) != (identity))
% 1.42/1.00 | ((X4) != (identity))
% 1.42/1.00 | ((inverse @ X4) != (identity))
% 1.42/1.00 | ((multiply @ X3 @ X0) != (identity))
% 1.42/1.00 | ((inverse @ X3) != (X0))
% 1.42/1.00 | ((X0) != (identity))
% 1.42/1.00 | ((inverse @ X1) != (X2))
% 1.42/1.00 | ((inverse @ X2) != (X0))
% 1.42/1.00 | ((multiply @ X1 @ X0) != (X2)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3405])).
% 1.42/1.00 thf(zip_derived_cl3407, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.42/1.00 (((multiply @ X1 @ X0) != (X2))
% 1.42/1.00 | ((inverse @ X2) != (X0))
% 1.42/1.00 | ((inverse @ X1) != (X2))
% 1.42/1.00 | ((X0) != (identity))
% 1.42/1.00 | ((inverse @ X3) != (X0))
% 1.42/1.00 | ((multiply @ X3 @ X0) != (identity))
% 1.42/1.00 | ((inverse @ X4) != (identity))
% 1.42/1.00 | ((X4) != (identity))
% 1.42/1.00 | ((inverse @ identity) != (identity)))),
% 1.42/1.00 inference('eq_res', [status(thm)], [zip_derived_cl3406])).
% 1.42/1.00 thf(zip_derived_cl1192, plain, (((inverse @ identity) = (identity))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl3408, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.42/1.00 (((multiply @ X1 @ X0) != (X2))
% 1.42/1.00 | ((inverse @ X2) != (X0))
% 1.42/1.00 | ((inverse @ X1) != (X2))
% 1.42/1.00 | ((X0) != (identity))
% 1.42/1.00 | ((inverse @ X3) != (X0))
% 1.42/1.00 | ((multiply @ X3 @ X0) != (identity))
% 1.42/1.00 | ((inverse @ X4) != (identity))
% 1.42/1.00 | ((X4) != (identity))
% 1.42/1.00 | ((identity) != (identity)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl3407, zip_derived_cl1192])).
% 1.42/1.00 thf(zip_derived_cl3409, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.42/1.00 (((X4) != (identity))
% 1.42/1.00 | ((inverse @ X4) != (identity))
% 1.42/1.00 | ((multiply @ X3 @ X0) != (identity))
% 1.42/1.00 | ((inverse @ X3) != (X0))
% 1.42/1.00 | ((X0) != (identity))
% 1.42/1.00 | ((inverse @ X1) != (X2))
% 1.42/1.00 | ((inverse @ X2) != (X0))
% 1.42/1.00 | ((multiply @ X1 @ X0) != (X2)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3408])).
% 1.42/1.00 thf(zip_derived_cl3410, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.42/1.00 (((multiply @ X1 @ X0) != (X2))
% 1.42/1.00 | ((inverse @ X2) != (X0))
% 1.42/1.00 | ((inverse @ X1) != (X2))
% 1.42/1.00 | ((X0) != (identity))
% 1.42/1.00 | ((inverse @ X3) != (X0))
% 1.42/1.00 | ((multiply @ X3 @ X0) != (identity))
% 1.42/1.00 | ((inverse @ identity) != (identity)))),
% 1.42/1.00 inference('eq_res', [status(thm)], [zip_derived_cl3409])).
% 1.42/1.00 thf(zip_derived_cl1192, plain, (((inverse @ identity) = (identity))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl3411, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.42/1.00 (((multiply @ X1 @ X0) != (X2))
% 1.42/1.00 | ((inverse @ X2) != (X0))
% 1.42/1.00 | ((inverse @ X1) != (X2))
% 1.42/1.00 | ((X0) != (identity))
% 1.42/1.00 | ((inverse @ X3) != (X0))
% 1.42/1.00 | ((multiply @ X3 @ X0) != (identity))
% 1.42/1.00 | ((identity) != (identity)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl3410, zip_derived_cl1192])).
% 1.42/1.00 thf(zip_derived_cl3412, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.42/1.00 (((multiply @ X3 @ X0) != (identity))
% 1.42/1.00 | ((inverse @ X3) != (X0))
% 1.42/1.00 | ((X0) != (identity))
% 1.42/1.00 | ((inverse @ X1) != (X2))
% 1.42/1.00 | ((inverse @ X2) != (X0))
% 1.42/1.00 | ((multiply @ X1 @ X0) != (X2)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3411])).
% 1.42/1.00 thf(zip_derived_cl3413, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.00 (((multiply @ X0 @ identity) != (X1))
% 1.42/1.00 | ((inverse @ X1) != (identity))
% 1.42/1.00 | ((inverse @ X0) != (X1))
% 1.42/1.00 | ((inverse @ X2) != (identity))
% 1.42/1.00 | ((multiply @ X2 @ identity) != (identity)))),
% 1.42/1.00 inference('eq_res', [status(thm)], [zip_derived_cl3412])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl1358, plain,
% 1.42/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl244, zip_derived_cl241])).
% 1.42/1.00 thf(zip_derived_cl3414, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.00 (((X0) != (X1))
% 1.42/1.00 | ((inverse @ X1) != (identity))
% 1.42/1.00 | ((inverse @ X0) != (X1))
% 1.42/1.00 | ((inverse @ X2) != (identity))
% 1.42/1.00 | ((X2) != (identity)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl3413, zip_derived_cl1358, zip_derived_cl1358])).
% 1.42/1.00 thf(zip_derived_cl3453, plain,
% 1.42/1.00 (![X0 : $i, X1 : $i]:
% 1.42/1.00 (((X0) != (identity))
% 1.42/1.00 | ((inverse @ X0) != (identity))
% 1.42/1.00 | ((inverse @ X1) != (X1))
% 1.42/1.00 | ((inverse @ X1) != (identity)))),
% 1.42/1.00 inference('eq_res', [status(thm)], [zip_derived_cl3414])).
% 1.42/1.00 thf(zip_derived_cl3454, plain,
% 1.42/1.00 (![X0 : $i]:
% 1.42/1.00 (((inverse @ X0) != (identity))
% 1.42/1.00 | ((inverse @ X0) != (X0))
% 1.42/1.00 | ((inverse @ identity) != (identity)))),
% 1.42/1.00 inference('eq_res', [status(thm)], [zip_derived_cl3453])).
% 1.42/1.00 thf(zip_derived_cl1192, plain, (((inverse @ identity) = (identity))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl3455, plain,
% 1.42/1.00 (![X0 : $i]:
% 1.42/1.00 (((inverse @ X0) != (identity))
% 1.42/1.00 | ((inverse @ X0) != (X0))
% 1.42/1.00 | ((identity) != (identity)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl3454, zip_derived_cl1192])).
% 1.42/1.00 thf(zip_derived_cl3456, plain,
% 1.42/1.00 (![X0 : $i]: (((inverse @ X0) != (X0)) | ((inverse @ X0) != (identity)))),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3455])).
% 1.42/1.00 thf(zip_derived_cl3457, plain,
% 1.42/1.00 ((((identity) != (identity)) | ((inverse @ identity) != (identity)))),
% 1.42/1.00 inference('sup-', [status(thm)], [zip_derived_cl1192, zip_derived_cl3456])).
% 1.42/1.00 thf(zip_derived_cl1192, plain, (((inverse @ identity) = (identity))),
% 1.42/1.00 inference('sup+', [status(thm)], [zip_derived_cl313, zip_derived_cl1])).
% 1.42/1.00 thf(zip_derived_cl3459, plain,
% 1.42/1.00 ((((identity) != (identity)) | ((identity) != (identity)))),
% 1.42/1.00 inference('demod', [status(thm)],
% 1.42/1.00 [zip_derived_cl3457, zip_derived_cl1192])).
% 1.42/1.00 thf(zip_derived_cl3460, plain, ($false),
% 1.42/1.00 inference('simplify', [status(thm)], [zip_derived_cl3459])).
% 1.42/1.00
% 1.42/1.00 % SZS output end Refutation
% 1.42/1.00
% 1.42/1.00
% 1.42/1.00 % Terminating...
% 1.56/1.11 % Runner terminated.
% 1.56/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------