TSTP Solution File: GRP290-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP290-1 : 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.jo5kXhO309 true
% Computer : n021.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 01:51:03 EDT 2023
% Result : Unsatisfiable 0.59s 1.04s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP290-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jo5kXhO309 true
% 0.14/0.37 % Computer : n021.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Aug 29 01:17:59 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.38 % Running in FO mode
% 0.47/0.66 % Total configuration time : 435
% 0.47/0.66 % Estimated wc time : 1092
% 0.47/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/1.04 % Solved by fo/fo7.sh.
% 0.59/1.04 % done 865 iterations in 0.236s
% 0.59/1.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/1.04 % SZS output start Refutation
% 0.59/1.04 thf(sk_c1_type, type, sk_c1: $i).
% 0.59/1.04 thf(sk_c6_type, type, sk_c6: $i).
% 0.59/1.04 thf(sk_c5_type, type, sk_c5: $i).
% 0.59/1.04 thf(sk_c3_type, type, sk_c3: $i).
% 0.59/1.04 thf(identity_type, type, identity: $i).
% 0.59/1.04 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/1.04 thf(sk_c7_type, type, sk_c7: $i).
% 0.59/1.04 thf(inverse_type, type, inverse: $i > $i).
% 0.59/1.04 thf(sk_c4_type, type, sk_c4: $i).
% 0.59/1.04 thf(sk_c2_type, type, sk_c2: $i).
% 0.59/1.04 thf(sk_c8_type, type, sk_c8: $i).
% 0.59/1.04 thf(prove_this_31, conjecture,
% 0.59/1.04 (~( ( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 0.59/1.04 ( ( multiply @ X5 @ sk_c6 ) != ( sk_c8 ) ) |
% 0.59/1.04 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 0.59/1.04 ( ( multiply @ X2 @ sk_c8 ) != ( X1 ) ) |
% 0.59/1.04 ( ( multiply @ sk_c8 @ X1 ) != ( sk_c7 ) ) |
% 0.59/1.04 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.59/1.04 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.59/1.04 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.59/1.04 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.59/1.04 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.59/1.04 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 0.59/1.04 thf(zf_stmt_0, negated_conjecture,
% 0.59/1.04 (( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 0.59/1.04 ( ( multiply @ X5 @ sk_c6 ) != ( sk_c8 ) ) |
% 0.59/1.04 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 0.59/1.04 ( ( multiply @ X2 @ sk_c8 ) != ( X1 ) ) |
% 0.59/1.04 ( ( multiply @ sk_c8 @ X1 ) != ( sk_c7 ) ) |
% 0.59/1.04 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.59/1.04 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.59/1.04 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.59/1.04 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.59/1.04 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.59/1.04 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) )),
% 0.59/1.04 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.59/1.04 thf(zip_derived_cl33, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/1.04 (((inverse @ X0) != (sk_c6))
% 0.59/1.04 | ((multiply @ X0 @ sk_c6) != (sk_c8))
% 0.59/1.04 | ((inverse @ X1) != (sk_c8))
% 0.59/1.04 | ((multiply @ X1 @ sk_c8) != (X2))
% 0.59/1.04 | ((multiply @ sk_c8 @ X2) != (sk_c7))
% 0.59/1.04 | ((multiply @ sk_c6 @ sk_c8) != (sk_c7))
% 0.59/1.04 | ((inverse @ X3) != (sk_c7))
% 0.59/1.04 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.59/1.04 | ((inverse @ X4) != (sk_c8))
% 0.59/1.04 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.59/1.04 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 0.59/1.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/1.04 thf(zip_derived_cl34, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/1.04 (((inverse @ X0) != (multiply @ sk_c8 @ sk_c7))
% 0.59/1.04 | ((multiply @ X0 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c8))
% 0.59/1.04 | ((inverse @ X1) != (sk_c8))
% 0.59/1.04 | ((multiply @ X1 @ sk_c8) != (X2))
% 0.59/1.04 | ((multiply @ sk_c8 @ X2) != (sk_c7))
% 0.59/1.04 | ((multiply @ (multiply @ sk_c8 @ sk_c7) @ sk_c8) != (sk_c7))
% 0.59/1.04 | ((inverse @ X3) != (sk_c7))
% 0.59/1.04 | ((multiply @ X3 @ sk_c7) != (multiply @ sk_c8 @ sk_c7))
% 0.59/1.04 | ((inverse @ X4) != (sk_c8))
% 0.59/1.04 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.59/1.04 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 0.59/1.04 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 0.59/1.04 thf(associativity, axiom,
% 0.59/1.04 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.59/1.04 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.59/1.04 thf(zip_derived_cl2, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.04 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/1.04 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/1.04 inference('cnf', [status(esa)], [associativity])).
% 0.59/1.04 thf(zip_derived_cl49, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/1.04 (((inverse @ X0) != (multiply @ sk_c8 @ sk_c7))
% 0.59/1.04 | ((multiply @ X0 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c8))
% 0.59/1.04 | ((inverse @ X1) != (sk_c8))
% 0.59/1.04 | ((multiply @ X1 @ sk_c8) != (X2))
% 0.59/1.04 | ((multiply @ sk_c8 @ X2) != (sk_c7))
% 0.59/1.04 | ((multiply @ sk_c8 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7))
% 0.59/1.04 | ((inverse @ X3) != (sk_c7))
% 0.59/1.04 | ((multiply @ X3 @ sk_c7) != (multiply @ sk_c8 @ sk_c7))
% 0.59/1.04 | ((inverse @ X4) != (sk_c8))
% 0.59/1.04 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.59/1.04 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 0.59/1.04 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl2])).
% 0.59/1.04 thf(prove_this_18, conjecture,
% 0.59/1.04 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.04 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.59/1.04 thf(zf_stmt_1, negated_conjecture,
% 0.59/1.04 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.59/1.04 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.59/1.04 thf(zip_derived_cl20, plain,
% 0.59/1.04 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/1.04 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.59/1.04 thf(zip_derived_cl1, plain,
% 0.59/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.04 thf(zip_derived_cl38, plain,
% 0.59/1.04 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.59/1.04 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 0.59/1.04 thf(zip_derived_cl1, plain,
% 0.59/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.04 thf(zip_derived_cl2, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.04 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/1.04 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/1.04 inference('cnf', [status(esa)], [associativity])).
% 0.59/1.04 thf(zip_derived_cl53, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i]:
% 0.59/1.04 ((multiply @ identity @ X0)
% 0.59/1.04 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/1.04 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.59/1.04 thf(zip_derived_cl0, plain,
% 0.59/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.04 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.04 thf(zip_derived_cl69, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i]:
% 0.59/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.04 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.04 thf(zip_derived_cl86, plain,
% 0.59/1.04 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.59/1.04 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl69])).
% 0.59/1.04 thf(prove_this_12, conjecture,
% 0.59/1.04 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.04 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.59/1.04 thf(zf_stmt_2, negated_conjecture,
% 0.59/1.04 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.04 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.59/1.04 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.59/1.04 thf(zip_derived_cl14, plain,
% 0.59/1.04 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.59/1.04 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/1.04 thf(zip_derived_cl147, plain,
% 0.59/1.04 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.59/1.04 = (sk_c7))
% 0.59/1.04 | ((inverse @ sk_c5) = (sk_c6))
% 0.59/1.04 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl14])).
% 0.59/1.04 thf(zip_derived_cl2, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.04 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/1.04 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/1.04 inference('cnf', [status(esa)], [associativity])).
% 0.59/1.04 thf(zip_derived_cl0, plain,
% 0.59/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.04 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.04 thf(zip_derived_cl1, plain,
% 0.59/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.04 thf(zip_derived_cl161, plain,
% 0.59/1.04 ((((identity) = (sk_c7))
% 0.59/1.04 | ((inverse @ sk_c5) = (sk_c6))
% 0.59/1.04 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.59/1.04 inference('demod', [status(thm)],
% 0.59/1.04 [zip_derived_cl147, zip_derived_cl2, zip_derived_cl0,
% 0.59/1.04 zip_derived_cl1])).
% 0.59/1.04 thf(zip_derived_cl162, plain,
% 0.59/1.04 ((((inverse @ sk_c5) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.59/1.04 inference('simplify', [status(thm)], [zip_derived_cl161])).
% 0.59/1.04 thf(zip_derived_cl1, plain,
% 0.59/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.04 thf(zip_derived_cl165, plain,
% 0.59/1.04 ((((multiply @ sk_c6 @ sk_c5) = (identity)) | ((identity) = (sk_c7)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl1])).
% 0.59/1.04 thf(zip_derived_cl69, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i]:
% 0.59/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.04 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.04 thf(zip_derived_cl243, plain,
% 0.59/1.04 ((((sk_c5) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.59/1.04 | ((identity) = (sk_c7)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl165, zip_derived_cl69])).
% 0.59/1.04 thf(zip_derived_cl1, plain,
% 0.59/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.04 thf(zip_derived_cl69, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i]:
% 0.59/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.04 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.04 thf(zip_derived_cl81, plain,
% 0.59/1.04 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl69])).
% 0.59/1.04 thf(zip_derived_cl69, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i]:
% 0.59/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.04 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.04 thf(zip_derived_cl69, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i]:
% 0.59/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.04 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.04 thf(zip_derived_cl78, plain,
% 0.59/1.04 (![X0 : $i, X1 : $i]:
% 0.59/1.04 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl69])).
% 0.59/1.04 thf(zip_derived_cl494, plain,
% 0.59/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.04 thf(zip_derived_cl523, plain,
% 0.59/1.04 ((((sk_c5) = (inverse @ sk_c6)) | ((identity) = (sk_c7)))),
% 0.59/1.04 inference('demod', [status(thm)], [zip_derived_cl243, zip_derived_cl494])).
% 0.59/1.04 thf(prove_this_17, conjecture,
% 0.59/1.04 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.59/1.04 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.59/1.04 thf(zf_stmt_3, negated_conjecture,
% 0.59/1.04 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.59/1.04 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.59/1.04 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.59/1.04 thf(zip_derived_cl19, plain,
% 0.59/1.04 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/1.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/1.04 thf(zip_derived_cl494, plain,
% 0.59/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.04 thf(zip_derived_cl81, plain,
% 0.59/1.04 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl69])).
% 0.59/1.04 thf(zip_derived_cl538, plain,
% 0.59/1.04 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl81])).
% 0.59/1.04 thf(zip_derived_cl725, plain,
% 0.59/1.04 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c8)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl538])).
% 0.59/1.04 thf(prove_this_11, conjecture,
% 0.59/1.04 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.59/1.04 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.59/1.04 thf(zf_stmt_4, negated_conjecture,
% 0.59/1.04 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.59/1.04 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.59/1.04 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.59/1.04 thf(zip_derived_cl13, plain,
% 0.59/1.04 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 0.59/1.04 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.59/1.04 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.59/1.04 thf(zip_derived_cl979, plain,
% 0.59/1.04 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.59/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 0.59/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl725, zip_derived_cl13])).
% 0.59/1.04 thf(zip_derived_cl1, plain,
% 0.59/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.04 thf(zip_derived_cl994, plain,
% 0.59/1.04 ((((identity) = (sk_c7))
% 0.59/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 0.59/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8)))),
% 0.59/1.04 inference('demod', [status(thm)], [zip_derived_cl979, zip_derived_cl1])).
% 0.59/1.04 thf(zip_derived_cl995, plain,
% 0.59/1.04 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.59/1.04 inference('simplify', [status(thm)], [zip_derived_cl994])).
% 0.59/1.04 thf(zip_derived_cl1218, plain,
% 0.59/1.04 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c8))
% 0.59/1.04 | ((identity) = (sk_c7))
% 0.59/1.04 | ((identity) = (sk_c7)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl523, zip_derived_cl995])).
% 0.59/1.04 thf(zip_derived_cl1, plain,
% 0.59/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.04 thf(zip_derived_cl1221, plain,
% 0.59/1.04 ((((identity) = (sk_c8))
% 0.59/1.04 | ((identity) = (sk_c7))
% 0.59/1.04 | ((identity) = (sk_c7)))),
% 0.59/1.04 inference('demod', [status(thm)], [zip_derived_cl1218, zip_derived_cl1])).
% 0.59/1.04 thf(zip_derived_cl1222, plain,
% 0.59/1.04 ((((identity) = (sk_c7)) | ((identity) = (sk_c8)))),
% 0.59/1.04 inference('simplify', [status(thm)], [zip_derived_cl1221])).
% 0.59/1.04 thf(prove_this_14, conjecture,
% 0.59/1.04 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.59/1.04 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.59/1.04 thf(zf_stmt_5, negated_conjecture,
% 0.59/1.04 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.59/1.04 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.59/1.04 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.59/1.04 thf(zip_derived_cl16, plain,
% 0.59/1.04 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/1.04 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/1.04 thf(zip_derived_cl538, plain,
% 0.59/1.04 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl81])).
% 0.59/1.04 thf(zip_derived_cl722, plain,
% 0.59/1.04 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c8 @ sk_c4) = (sk_c7)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl538])).
% 0.59/1.04 thf(prove_this_8, conjecture,
% 0.59/1.04 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.59/1.04 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.59/1.04 thf(zf_stmt_6, negated_conjecture,
% 0.59/1.04 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.59/1.04 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.59/1.04 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.59/1.04 thf(zip_derived_cl10, plain,
% 0.59/1.04 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 0.59/1.04 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.59/1.04 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/1.04 thf(zip_derived_cl912, plain,
% 0.59/1.04 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.59/1.04 | ((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 0.59/1.04 | ((multiply @ sk_c8 @ sk_c4) = (sk_c7)))),
% 0.59/1.04 inference('sup+', [status(thm)], [zip_derived_cl722, zip_derived_cl10])).
% 0.59/1.04 thf(zip_derived_cl1, plain,
% 0.59/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.04 thf(zip_derived_cl927, plain,
% 0.59/1.04 ((((identity) = (sk_c7))
% 0.59/1.04 | ((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 0.59/1.04 | ((multiply @ sk_c8 @ sk_c4) = (sk_c7)))),
% 0.59/1.04 inference('demod', [status(thm)], [zip_derived_cl912, zip_derived_cl1])).
% 0.59/1.04 thf(zip_derived_cl928, plain,
% 0.59/1.05 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl927])).
% 0.59/1.05 thf(prove_this_28, conjecture,
% 0.59/1.05 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.59/1.05 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.59/1.05 thf(zf_stmt_7, negated_conjecture,
% 0.59/1.05 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 0.59/1.05 thf(zip_derived_cl30, plain,
% 0.59/1.05 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/1.05 thf(zip_derived_cl1, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.05 thf(zip_derived_cl39, plain,
% 0.59/1.05 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 0.59/1.05 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl69, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl87, plain,
% 0.59/1.05 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.59/1.05 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl69])).
% 0.59/1.05 thf(prove_this_22, conjecture,
% 0.59/1.05 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.05 thf(zf_stmt_8, negated_conjecture,
% 0.59/1.05 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.59/1.05 thf(zip_derived_cl24, plain,
% 0.59/1.05 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.59/1.05 thf(zip_derived_cl168, plain,
% 0.59/1.05 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.59/1.05 = (sk_c6))
% 0.59/1.05 | ((inverse @ sk_c3) = (sk_c8))
% 0.59/1.05 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl24])).
% 0.59/1.05 thf(zip_derived_cl2, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/1.05 inference('cnf', [status(esa)], [associativity])).
% 0.59/1.05 thf(zip_derived_cl0, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.05 thf(zip_derived_cl1, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.05 thf(zip_derived_cl179, plain,
% 0.59/1.05 ((((identity) = (sk_c6))
% 0.59/1.05 | ((inverse @ sk_c3) = (sk_c8))
% 0.59/1.05 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl168, zip_derived_cl2, zip_derived_cl0,
% 0.59/1.05 zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl180, plain,
% 0.59/1.05 ((((inverse @ sk_c3) = (sk_c8)) | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl179])).
% 0.59/1.05 thf(prove_this_27, conjecture,
% 0.59/1.05 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.59/1.05 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.59/1.05 thf(zf_stmt_9, negated_conjecture,
% 0.59/1.05 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.59/1.05 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 0.59/1.05 thf(zip_derived_cl29, plain,
% 0.59/1.05 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.59/1.05 thf(zip_derived_cl1, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.05 thf(zip_derived_cl47, plain,
% 0.59/1.05 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 0.59/1.05 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl69, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl312, plain,
% 0.59/1.05 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.59/1.05 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl69])).
% 0.59/1.05 thf(prove_this_21, conjecture,
% 0.59/1.05 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.05 thf(zf_stmt_10, negated_conjecture,
% 0.59/1.05 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.59/1.05 thf(zip_derived_cl23, plain,
% 0.59/1.05 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 0.59/1.05 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.59/1.05 thf(zip_derived_cl317, plain,
% 0.59/1.05 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.59/1.05 = (sk_c6))
% 0.59/1.05 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 0.59/1.05 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl312, zip_derived_cl23])).
% 0.59/1.05 thf(zip_derived_cl2, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/1.05 inference('cnf', [status(esa)], [associativity])).
% 0.59/1.05 thf(zip_derived_cl0, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.05 thf(zip_derived_cl1, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.05 thf(zip_derived_cl330, plain,
% 0.59/1.05 ((((identity) = (sk_c6))
% 0.59/1.05 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 0.59/1.05 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl317, zip_derived_cl2, zip_derived_cl0,
% 0.59/1.05 zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl331, plain,
% 0.59/1.05 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4)) | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl330])).
% 0.59/1.05 thf(zip_derived_cl69, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl353, plain,
% 0.59/1.05 ((((sk_c8) = (multiply @ (inverse @ sk_c3) @ sk_c4))
% 0.59/1.05 | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl331, zip_derived_cl69])).
% 0.59/1.05 thf(zip_derived_cl392, plain,
% 0.59/1.05 ((((sk_c8) = (multiply @ sk_c8 @ sk_c4))
% 0.59/1.05 | ((identity) = (sk_c6))
% 0.59/1.05 | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl353])).
% 0.59/1.05 thf(zip_derived_cl398, plain,
% 0.59/1.05 ((((identity) = (sk_c6)) | ((sk_c8) = (multiply @ sk_c8 @ sk_c4)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl392])).
% 0.59/1.05 thf(zip_derived_cl1094, plain,
% 0.59/1.05 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl928, zip_derived_cl398])).
% 0.59/1.05 thf(prove_this_13, conjecture,
% 0.59/1.05 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.59/1.05 thf(zf_stmt_11, negated_conjecture,
% 0.59/1.05 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.59/1.05 thf(zip_derived_cl15, plain,
% 0.59/1.05 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.59/1.05 thf(zip_derived_cl538, plain,
% 0.59/1.05 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl81])).
% 0.59/1.05 thf(zip_derived_cl721, plain,
% 0.59/1.05 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl538])).
% 0.59/1.05 thf(prove_this_7, conjecture,
% 0.59/1.05 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.59/1.05 thf(zf_stmt_12, negated_conjecture,
% 0.59/1.05 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.59/1.05 thf(zip_derived_cl9, plain,
% 0.59/1.05 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 0.59/1.05 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.59/1.05 thf(zip_derived_cl879, plain,
% 0.59/1.05 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.59/1.05 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 0.59/1.05 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl721, zip_derived_cl9])).
% 0.59/1.05 thf(zip_derived_cl1, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.05 thf(zip_derived_cl894, plain,
% 0.59/1.05 ((((identity) = (sk_c7))
% 0.59/1.05 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 0.59/1.05 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl879, zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl895, plain,
% 0.59/1.05 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl894])).
% 0.59/1.05 thf(zip_derived_cl1111, plain,
% 0.59/1.05 ((((multiply @ identity @ sk_c8) = (sk_c7))
% 0.59/1.05 | ((identity) = (sk_c7))
% 0.59/1.05 | ((sk_c8) = (sk_c7))
% 0.59/1.05 | ((identity) = (sk_c7)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl1094, zip_derived_cl895])).
% 0.59/1.05 thf(zip_derived_cl0, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.05 thf(zip_derived_cl1118, plain,
% 0.59/1.05 ((((sk_c8) = (sk_c7))
% 0.59/1.05 | ((identity) = (sk_c7))
% 0.59/1.05 | ((sk_c8) = (sk_c7))
% 0.59/1.05 | ((identity) = (sk_c7)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl1111, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl1119, plain,
% 0.59/1.05 ((((identity) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl1118])).
% 0.59/1.05 thf(zip_derived_cl1184, plain,
% 0.59/1.05 ((((sk_c8) != (identity)) | ((identity) = (sk_c7)))),
% 0.59/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl1119])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl0, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl1255, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/1.05 (((inverse @ X0) != (sk_c8))
% 0.59/1.05 | ((multiply @ X0 @ sk_c8) != (sk_c8))
% 0.59/1.05 | ((inverse @ X1) != (sk_c8))
% 0.59/1.05 | ((multiply @ X1 @ sk_c8) != (X2))
% 0.59/1.05 | ((multiply @ sk_c8 @ X2) != (identity))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 0.59/1.05 | ((inverse @ X3) != (identity))
% 0.59/1.05 | ((X3) != (sk_c8))
% 0.59/1.05 | ((inverse @ X4) != (sk_c8))
% 0.59/1.05 | ((multiply @ X4 @ sk_c8) != (identity))
% 0.59/1.05 | ((sk_c8) != (sk_c6)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl49, zip_derived_cl1225, zip_derived_cl494,
% 0.59/1.05 zip_derived_cl1225, zip_derived_cl494, zip_derived_cl1225,
% 0.59/1.05 zip_derived_cl1225, zip_derived_cl0, zip_derived_cl1225,
% 0.59/1.05 zip_derived_cl1225, zip_derived_cl1225, zip_derived_cl494,
% 0.59/1.05 zip_derived_cl1225, zip_derived_cl494, zip_derived_cl1225,
% 0.59/1.05 zip_derived_cl1225, zip_derived_cl494])).
% 0.59/1.05 thf(prove_this_4, conjecture,
% 0.59/1.05 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.05 thf(zf_stmt_13, negated_conjecture,
% 0.59/1.05 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.59/1.05 thf(zip_derived_cl6, plain,
% 0.59/1.05 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.59/1.05 thf(zip_derived_cl1, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.05 thf(zip_derived_cl35, plain,
% 0.59/1.05 ((((multiply @ sk_c8 @ sk_c3) = (identity))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl69, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl84, plain,
% 0.59/1.05 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl69])).
% 0.59/1.05 thf(prove_this_3, conjecture,
% 0.59/1.05 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.05 thf(zf_stmt_14, negated_conjecture,
% 0.59/1.05 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.59/1.05 thf(zip_derived_cl5, plain,
% 0.59/1.05 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.59/1.05 thf(zip_derived_cl117, plain,
% 0.59/1.05 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.59/1.05 = (sk_c4))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl5])).
% 0.59/1.05 thf(zip_derived_cl2, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/1.05 inference('cnf', [status(esa)], [associativity])).
% 0.59/1.05 thf(zip_derived_cl0, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.05 thf(zip_derived_cl1, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.05 thf(zip_derived_cl120, plain,
% 0.59/1.05 ((((identity) = (sk_c4))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl117, zip_derived_cl2, zip_derived_cl0,
% 0.59/1.05 zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl121, plain,
% 0.59/1.05 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c4)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl120])).
% 0.59/1.05 thf(prove_this_2, conjecture,
% 0.59/1.05 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.05 thf(zf_stmt_15, negated_conjecture,
% 0.59/1.05 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.59/1.05 thf(zip_derived_cl4, plain,
% 0.59/1.05 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.59/1.05 thf(zip_derived_cl69, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl83, plain,
% 0.59/1.05 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ sk_c7))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl69])).
% 0.59/1.05 thf(zip_derived_cl125, plain,
% 0.59/1.05 ((((identity) = (multiply @ (inverse @ sk_c8) @ sk_c7))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl83])).
% 0.59/1.05 thf(zip_derived_cl127, plain,
% 0.59/1.05 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.59/1.05 | ((identity) = (multiply @ (inverse @ sk_c8) @ sk_c7)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl125])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl1258, plain,
% 0.59/1.05 ((((sk_c8) = (sk_c6)) | ((identity) = (inverse @ sk_c8)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl127, zip_derived_cl1225, zip_derived_cl494,
% 0.59/1.05 zip_derived_cl1225, zip_derived_cl494])).
% 0.59/1.05 thf(prove_this_25, conjecture,
% 0.59/1.05 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.59/1.05 thf(zf_stmt_16, negated_conjecture,
% 0.59/1.05 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 0.59/1.05 thf(zip_derived_cl27, plain,
% 0.59/1.05 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.59/1.05 thf(zip_derived_cl538, plain,
% 0.59/1.05 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl81])).
% 0.59/1.05 thf(zip_derived_cl727, plain,
% 0.59/1.05 ((((sk_c2) = (inverse @ sk_c7)) | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl538])).
% 0.59/1.05 thf(prove_this_19, conjecture,
% 0.59/1.05 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.05 thf(zf_stmt_17, negated_conjecture,
% 0.59/1.05 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.59/1.05 thf(zip_derived_cl21, plain,
% 0.59/1.05 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 0.59/1.05 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.59/1.05 thf(zip_derived_cl1007, plain,
% 0.59/1.05 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.59/1.05 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 0.59/1.05 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl727, zip_derived_cl21])).
% 0.59/1.05 thf(zip_derived_cl1, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.05 thf(zip_derived_cl1020, plain,
% 0.59/1.05 ((((identity) = (sk_c6))
% 0.59/1.05 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 0.59/1.05 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl1007, zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl1021, plain,
% 0.59/1.05 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl1020])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl1476, plain,
% 0.59/1.05 ((((multiply @ sk_c6 @ sk_c8) = (identity)) | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl1021, zip_derived_cl1225])).
% 0.59/1.05 thf(zip_derived_cl69, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl1478, plain,
% 0.59/1.05 ((((sk_c8) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.59/1.05 | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl1476, zip_derived_cl69])).
% 0.59/1.05 thf(zip_derived_cl2328, plain,
% 0.59/1.05 ((((sk_c8) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.59/1.05 | ((identity) = (inverse @ sk_c8))
% 0.59/1.05 | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl1258, zip_derived_cl1478])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl2331, plain,
% 0.59/1.05 ((((sk_c8) = (inverse @ sk_c8))
% 0.59/1.05 | ((identity) = (inverse @ sk_c8))
% 0.59/1.05 | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl2328, zip_derived_cl494])).
% 0.59/1.05 thf(zip_derived_cl1478, plain,
% 0.59/1.05 ((((sk_c8) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.59/1.05 | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl1476, zip_derived_cl69])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl2325, plain,
% 0.59/1.05 ((((sk_c8) = (inverse @ sk_c6)) | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl1478, zip_derived_cl494])).
% 0.59/1.05 thf(zip_derived_cl538, plain,
% 0.59/1.05 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl81])).
% 0.59/1.05 thf(zip_derived_cl2336, plain,
% 0.59/1.05 ((((sk_c6) = (inverse @ sk_c8)) | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl2325, zip_derived_cl538])).
% 0.59/1.05 thf(zip_derived_cl2362, plain,
% 0.59/1.05 ((((inverse @ sk_c8) != (identity)) | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl2336])).
% 0.59/1.05 thf(zip_derived_cl2523, plain,
% 0.59/1.05 ((((identity) = (sk_c6)) | ((sk_c8) = (inverse @ sk_c8)))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl2331, zip_derived_cl2362])).
% 0.59/1.05 thf(prove_this_6, conjecture,
% 0.59/1.05 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.05 thf(zf_stmt_18, negated_conjecture,
% 0.59/1.05 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.59/1.05 thf(zip_derived_cl8, plain,
% 0.59/1.05 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl1231, plain,
% 0.59/1.05 ((((inverse @ sk_c5) = (sk_c6)) | ((sk_c8) = (sk_c6)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl8, zip_derived_cl1225, zip_derived_cl494])).
% 0.59/1.05 thf(prove_this_5, conjecture,
% 0.59/1.05 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.05 thf(zf_stmt_19, negated_conjecture,
% 0.59/1.05 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.59/1.05 thf(zip_derived_cl7, plain,
% 0.59/1.05 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl1230, plain,
% 0.59/1.05 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8)) | ((sk_c8) = (sk_c6)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl7, zip_derived_cl1225, zip_derived_cl494])).
% 0.59/1.05 thf(zip_derived_cl69, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl1597, plain,
% 0.59/1.05 ((((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c8))
% 0.59/1.05 | ((sk_c8) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl1230, zip_derived_cl69])).
% 0.59/1.05 thf(zip_derived_cl2933, plain,
% 0.59/1.05 ((((sk_c6) = (multiply @ sk_c6 @ sk_c8))
% 0.59/1.05 | ((sk_c8) = (sk_c6))
% 0.59/1.05 | ((sk_c8) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl1231, zip_derived_cl1597])).
% 0.59/1.05 thf(zip_derived_cl2941, plain,
% 0.59/1.05 ((((sk_c8) = (sk_c6)) | ((sk_c6) = (multiply @ sk_c6 @ sk_c8)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl2933])).
% 0.59/1.05 thf(zip_derived_cl3062, plain,
% 0.59/1.05 ((((sk_c6) = (multiply @ identity @ sk_c8))
% 0.59/1.05 | ((sk_c8) = (inverse @ sk_c8))
% 0.59/1.05 | ((sk_c8) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl2523, zip_derived_cl2941])).
% 0.59/1.05 thf(zip_derived_cl0, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.05 thf(zip_derived_cl3070, plain,
% 0.59/1.05 ((((sk_c6) = (sk_c8))
% 0.59/1.05 | ((sk_c8) = (inverse @ sk_c8))
% 0.59/1.05 | ((sk_c8) = (sk_c6)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl3062, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl3071, plain,
% 0.59/1.05 ((((sk_c8) = (inverse @ sk_c8)) | ((sk_c6) = (sk_c8)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3070])).
% 0.59/1.05 thf(prove_this_1, conjecture,
% 0.59/1.05 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.05 thf(zf_stmt_20, negated_conjecture,
% 0.59/1.05 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.59/1.05 thf(zip_derived_cl3, plain,
% 0.59/1.05 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl1226, plain,
% 0.59/1.05 ((((multiply @ sk_c6 @ sk_c8) = (identity)) | ((sk_c8) = (sk_c6)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl3, zip_derived_cl1225, zip_derived_cl1225,
% 0.59/1.05 zip_derived_cl494])).
% 0.59/1.05 thf(zip_derived_cl69, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl1483, plain,
% 0.59/1.05 ((((sk_c8) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.59/1.05 | ((sk_c8) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl1226, zip_derived_cl69])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl2618, plain,
% 0.59/1.05 ((((sk_c8) = (inverse @ sk_c6)) | ((sk_c8) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl1483, zip_derived_cl494])).
% 0.59/1.05 thf(zip_derived_cl538, plain,
% 0.59/1.05 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl81])).
% 0.59/1.05 thf(zip_derived_cl2637, plain,
% 0.59/1.05 ((((sk_c6) = (inverse @ sk_c8)) | ((sk_c8) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl2618, zip_derived_cl538])).
% 0.59/1.05 thf(zip_derived_cl2676, plain,
% 0.59/1.05 ((((inverse @ sk_c8) != (sk_c8)) | ((sk_c8) = (sk_c6)))),
% 0.59/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl2637])).
% 0.59/1.05 thf(zip_derived_cl3079, plain, (((sk_c6) = (sk_c8))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl3071, zip_derived_cl2676])).
% 0.59/1.05 thf(zip_derived_cl3109, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/1.05 (((inverse @ X0) != (sk_c8))
% 0.59/1.05 | ((multiply @ X0 @ sk_c8) != (sk_c8))
% 0.59/1.05 | ((inverse @ X1) != (sk_c8))
% 0.59/1.05 | ((multiply @ X1 @ sk_c8) != (X2))
% 0.59/1.05 | ((multiply @ sk_c8 @ X2) != (identity))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 0.59/1.05 | ((inverse @ X3) != (identity))
% 0.59/1.05 | ((X3) != (sk_c8))
% 0.59/1.05 | ((inverse @ X4) != (sk_c8))
% 0.59/1.05 | ((multiply @ X4 @ sk_c8) != (identity))
% 0.59/1.05 | ((sk_c8) != (sk_c8)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl1255, zip_derived_cl3079])).
% 0.59/1.05 thf(zip_derived_cl3110, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/1.05 (((multiply @ X4 @ sk_c8) != (identity))
% 0.59/1.05 | ((inverse @ X4) != (sk_c8))
% 0.59/1.05 | ((X3) != (sk_c8))
% 0.59/1.05 | ((inverse @ X3) != (identity))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 0.59/1.05 | ((multiply @ sk_c8 @ X2) != (identity))
% 0.59/1.05 | ((multiply @ X1 @ sk_c8) != (X2))
% 0.59/1.05 | ((inverse @ X1) != (sk_c8))
% 0.59/1.05 | ((multiply @ X0 @ sk_c8) != (sk_c8))
% 0.59/1.05 | ((inverse @ X0) != (sk_c8)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3109])).
% 0.59/1.05 thf(zip_derived_cl180, plain,
% 0.59/1.05 ((((inverse @ sk_c3) = (sk_c8)) | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl179])).
% 0.59/1.05 thf(zip_derived_cl1, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.05 thf(zip_derived_cl184, plain,
% 0.59/1.05 ((((multiply @ sk_c8 @ sk_c3) = (identity)) | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl69, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl256, plain,
% 0.59/1.05 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.59/1.05 | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl69])).
% 0.59/1.05 thf(zip_derived_cl331, plain,
% 0.59/1.05 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4)) | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl330])).
% 0.59/1.05 thf(zip_derived_cl355, plain,
% 0.59/1.05 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.59/1.05 = (sk_c4))
% 0.59/1.05 | ((identity) = (sk_c6))
% 0.59/1.05 | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl331])).
% 0.59/1.05 thf(zip_derived_cl2, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/1.05 inference('cnf', [status(esa)], [associativity])).
% 0.59/1.05 thf(zip_derived_cl0, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.05 thf(zip_derived_cl1, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.05 thf(zip_derived_cl358, plain,
% 0.59/1.05 ((((identity) = (sk_c4))
% 0.59/1.05 | ((identity) = (sk_c6))
% 0.59/1.05 | ((identity) = (sk_c6)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl355, zip_derived_cl2, zip_derived_cl0,
% 0.59/1.05 zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl359, plain,
% 0.59/1.05 ((((identity) = (sk_c6)) | ((identity) = (sk_c4)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl358])).
% 0.59/1.05 thf(zip_derived_cl3079, plain, (((sk_c6) = (sk_c8))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl3071, zip_derived_cl2676])).
% 0.59/1.05 thf(zip_derived_cl3089, plain,
% 0.59/1.05 ((((identity) = (sk_c8)) | ((identity) = (sk_c4)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl359, zip_derived_cl3079])).
% 0.59/1.05 thf(prove_this_20, conjecture,
% 0.59/1.05 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.59/1.05 thf(zf_stmt_21, negated_conjecture,
% 0.59/1.05 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.59/1.05 thf(zip_derived_cl22, plain,
% 0.59/1.05 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 0.59/1.05 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_21])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl3079, plain, (((sk_c6) = (sk_c8))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl3071, zip_derived_cl2676])).
% 0.59/1.05 thf(zip_derived_cl3921, plain,
% 0.59/1.05 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((sk_c2) = (sk_c8)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl22, zip_derived_cl1225, zip_derived_cl1225,
% 0.59/1.05 zip_derived_cl494, zip_derived_cl3079])).
% 0.59/1.05 thf(prove_this_26, conjecture,
% 0.59/1.05 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.59/1.05 thf(zf_stmt_22, negated_conjecture,
% 0.59/1.05 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.59/1.05 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.59/1.05 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.59/1.05 thf(zip_derived_cl28, plain,
% 0.59/1.05 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.59/1.05 inference('cnf', [status(esa)], [zf_stmt_22])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl1225, plain, (((identity) = (sk_c7))),
% 0.59/1.05 inference('clc', [status(thm)], [zip_derived_cl1222, zip_derived_cl1184])).
% 0.59/1.05 thf(zip_derived_cl1245, plain,
% 0.59/1.05 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 0.59/1.05 | ((inverse @ sk_c2) = (identity)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl28, zip_derived_cl1225, zip_derived_cl1225])).
% 0.59/1.05 thf(zip_derived_cl3922, plain,
% 0.59/1.05 ((((inverse @ sk_c8) = (identity))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c4) = (identity))
% 0.59/1.05 | ((multiply @ sk_c8 @ sk_c4) = (identity)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl3921, zip_derived_cl1245])).
% 0.59/1.05 thf(zip_derived_cl3946, plain,
% 0.59/1.05 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 0.59/1.05 | ((inverse @ sk_c8) = (identity)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3922])).
% 0.59/1.05 thf(zip_derived_cl3956, plain,
% 0.59/1.05 ((((multiply @ sk_c8 @ identity) = (identity))
% 0.59/1.05 | ((identity) = (sk_c8))
% 0.59/1.05 | ((inverse @ sk_c8) = (identity)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl3089, zip_derived_cl3946])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl3958, plain,
% 0.59/1.05 ((((sk_c8) = (identity))
% 0.59/1.05 | ((identity) = (sk_c8))
% 0.59/1.05 | ((inverse @ sk_c8) = (identity)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl3956, zip_derived_cl494])).
% 0.59/1.05 thf(zip_derived_cl3959, plain,
% 0.59/1.05 ((((inverse @ sk_c8) = (identity)) | ((sk_c8) = (identity)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3958])).
% 0.59/1.05 thf(zip_derived_cl538, plain,
% 0.59/1.05 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl81])).
% 0.59/1.05 thf(zip_derived_cl3966, plain,
% 0.59/1.05 ((((sk_c8) = (inverse @ identity)) | ((sk_c8) = (identity)))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl3959, zip_derived_cl538])).
% 0.59/1.05 thf(zip_derived_cl0, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.05 thf(zip_derived_cl69, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl80, plain,
% 0.59/1.05 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl69])).
% 0.59/1.05 thf(zip_derived_cl69, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 0.59/1.05 thf(zip_derived_cl113, plain,
% 0.59/1.05 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl69])).
% 0.59/1.05 thf(zip_derived_cl1, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/1.05 thf(zip_derived_cl481, plain, (((inverse @ identity) = (identity))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl3976, plain,
% 0.59/1.05 ((((sk_c8) = (identity)) | ((sk_c8) = (identity)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl3966, zip_derived_cl481])).
% 0.59/1.05 thf(zip_derived_cl3977, plain, (((sk_c8) = (identity))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3976])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl3977, plain, (((sk_c8) = (identity))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3976])).
% 0.59/1.05 thf(zip_derived_cl3977, plain, (((sk_c8) = (identity))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3976])).
% 0.59/1.05 thf(zip_derived_cl3977, plain, (((sk_c8) = (identity))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3976])).
% 0.59/1.05 thf(zip_derived_cl3977, plain, (((sk_c8) = (identity))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3976])).
% 0.59/1.05 thf(zip_derived_cl0, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.05 thf(zip_derived_cl3977, plain, (((sk_c8) = (identity))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3976])).
% 0.59/1.05 thf(zip_derived_cl0, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/1.05 inference('cnf', [status(esa)], [left_identity])).
% 0.59/1.05 thf(zip_derived_cl3977, plain, (((sk_c8) = (identity))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3976])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl3977, plain, (((sk_c8) = (identity))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3976])).
% 0.59/1.05 thf(zip_derived_cl3977, plain, (((sk_c8) = (identity))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3976])).
% 0.59/1.05 thf(zip_derived_cl494, plain,
% 0.59/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.59/1.05 thf(zip_derived_cl3977, plain, (((sk_c8) = (identity))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3976])).
% 0.59/1.05 thf(zip_derived_cl3977, plain, (((sk_c8) = (identity))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl3976])).
% 0.59/1.05 thf(zip_derived_cl4031, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/1.05 (((X4) != (identity))
% 0.59/1.05 | ((inverse @ X4) != (identity))
% 0.59/1.05 | ((X3) != (identity))
% 0.59/1.05 | ((inverse @ X3) != (identity))
% 0.59/1.05 | ((identity) != (identity))
% 0.59/1.05 | ((X2) != (identity))
% 0.59/1.05 | ((X1) != (X2))
% 0.59/1.05 | ((inverse @ X1) != (identity))
% 0.59/1.05 | ((X0) != (identity))
% 0.59/1.05 | ((inverse @ X0) != (identity)))),
% 0.59/1.05 inference('demod', [status(thm)],
% 0.59/1.05 [zip_derived_cl3110, zip_derived_cl3977, zip_derived_cl494,
% 0.59/1.05 zip_derived_cl3977, zip_derived_cl3977, zip_derived_cl3977,
% 0.59/1.05 zip_derived_cl3977, zip_derived_cl0, zip_derived_cl3977,
% 0.59/1.05 zip_derived_cl0, zip_derived_cl3977, zip_derived_cl494,
% 0.59/1.05 zip_derived_cl3977, zip_derived_cl3977, zip_derived_cl494,
% 0.59/1.05 zip_derived_cl3977, zip_derived_cl3977])).
% 0.59/1.05 thf(zip_derived_cl4032, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/1.05 (((inverse @ X0) != (identity))
% 0.59/1.05 | ((X0) != (identity))
% 0.59/1.05 | ((inverse @ X1) != (identity))
% 0.59/1.05 | ((X1) != (X2))
% 0.59/1.05 | ((X2) != (identity))
% 0.59/1.05 | ((inverse @ X3) != (identity))
% 0.59/1.05 | ((X3) != (identity))
% 0.59/1.05 | ((inverse @ X4) != (identity))
% 0.59/1.05 | ((X4) != (identity)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl4031])).
% 0.59/1.05 thf(zip_derived_cl4054, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/1.05 (((X0) != (identity))
% 0.59/1.05 | ((inverse @ X0) != (identity))
% 0.59/1.05 | ((X1) != (identity))
% 0.59/1.05 | ((inverse @ X1) != (identity))
% 0.59/1.05 | ((X2) != (identity))
% 0.59/1.05 | ((inverse @ X2) != (identity))
% 0.59/1.05 | ((X3) != (identity))
% 0.59/1.05 | ((inverse @ X3) != (identity)))),
% 0.59/1.05 inference('eq_res', [status(thm)], [zip_derived_cl4032])).
% 0.59/1.05 thf(zip_derived_cl4055, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.05 (((inverse @ X0) != (identity))
% 0.59/1.05 | ((X0) != (identity))
% 0.59/1.05 | ((inverse @ X1) != (identity))
% 0.59/1.05 | ((X1) != (identity))
% 0.59/1.05 | ((inverse @ X2) != (identity))
% 0.59/1.05 | ((X2) != (identity))
% 0.59/1.05 | ((inverse @ identity) != (identity)))),
% 0.59/1.05 inference('eq_res', [status(thm)], [zip_derived_cl4054])).
% 0.59/1.05 thf(zip_derived_cl481, plain, (((inverse @ identity) = (identity))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl4056, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.05 (((inverse @ X0) != (identity))
% 0.59/1.05 | ((X0) != (identity))
% 0.59/1.05 | ((inverse @ X1) != (identity))
% 0.59/1.05 | ((X1) != (identity))
% 0.59/1.05 | ((inverse @ X2) != (identity))
% 0.59/1.05 | ((X2) != (identity))
% 0.59/1.05 | ((identity) != (identity)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl4055, zip_derived_cl481])).
% 0.59/1.05 thf(zip_derived_cl4057, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.05 (((X2) != (identity))
% 0.59/1.05 | ((inverse @ X2) != (identity))
% 0.59/1.05 | ((X1) != (identity))
% 0.59/1.05 | ((inverse @ X1) != (identity))
% 0.59/1.05 | ((X0) != (identity))
% 0.59/1.05 | ((inverse @ X0) != (identity)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl4056])).
% 0.59/1.05 thf(zip_derived_cl4058, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 (((inverse @ X0) != (identity))
% 0.59/1.05 | ((X0) != (identity))
% 0.59/1.05 | ((inverse @ X1) != (identity))
% 0.59/1.05 | ((X1) != (identity))
% 0.59/1.05 | ((inverse @ identity) != (identity)))),
% 0.59/1.05 inference('eq_res', [status(thm)], [zip_derived_cl4057])).
% 0.59/1.05 thf(zip_derived_cl481, plain, (((inverse @ identity) = (identity))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl4059, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 (((inverse @ X0) != (identity))
% 0.59/1.05 | ((X0) != (identity))
% 0.59/1.05 | ((inverse @ X1) != (identity))
% 0.59/1.05 | ((X1) != (identity))
% 0.59/1.05 | ((identity) != (identity)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl4058, zip_derived_cl481])).
% 0.59/1.05 thf(zip_derived_cl4060, plain,
% 0.59/1.05 (![X0 : $i, X1 : $i]:
% 0.59/1.05 (((X1) != (identity))
% 0.59/1.05 | ((inverse @ X1) != (identity))
% 0.59/1.05 | ((X0) != (identity))
% 0.59/1.05 | ((inverse @ X0) != (identity)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl4059])).
% 0.59/1.05 thf(zip_derived_cl4092, plain,
% 0.59/1.05 (![X0 : $i]:
% 0.59/1.05 (((inverse @ X0) != (identity))
% 0.59/1.05 | ((X0) != (identity))
% 0.59/1.05 | ((inverse @ identity) != (identity)))),
% 0.59/1.05 inference('eq_res', [status(thm)], [zip_derived_cl4060])).
% 0.59/1.05 thf(zip_derived_cl481, plain, (((inverse @ identity) = (identity))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl4093, plain,
% 0.59/1.05 (![X0 : $i]:
% 0.59/1.05 (((inverse @ X0) != (identity))
% 0.59/1.05 | ((X0) != (identity))
% 0.59/1.05 | ((identity) != (identity)))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl4092, zip_derived_cl481])).
% 0.59/1.05 thf(zip_derived_cl4094, plain,
% 0.59/1.05 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl4093])).
% 0.59/1.05 thf(zip_derived_cl4095, plain, (((inverse @ identity) != (identity))),
% 0.59/1.05 inference('eq_res', [status(thm)], [zip_derived_cl4094])).
% 0.59/1.05 thf(zip_derived_cl481, plain, (((inverse @ identity) = (identity))),
% 0.59/1.05 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.59/1.05 thf(zip_derived_cl4096, plain, (((identity) != (identity))),
% 0.59/1.05 inference('demod', [status(thm)], [zip_derived_cl4095, zip_derived_cl481])).
% 0.59/1.05 thf(zip_derived_cl4097, plain, ($false),
% 0.59/1.05 inference('simplify', [status(thm)], [zip_derived_cl4096])).
% 0.59/1.05
% 0.59/1.05 % SZS output end Refutation
% 0.59/1.05
% 0.59/1.05
% 0.59/1.05 % Terminating...
% 1.74/1.08 % Runner terminated.
% 1.75/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------