TSTP Solution File: GRP385-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP385-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xvTVnYZGCY true
% Computer : n031.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 01:51:26 EDT 2023
% Result : Unsatisfiable 1.08s 1.05s
% Output : Refutation 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP385-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xvTVnYZGCY true
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:34:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.79/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.79/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.79/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.79/0.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.79/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.79/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.08/1.05 % Solved by fo/fo7.sh.
% 1.08/1.05 % done 241 iterations in 0.177s
% 1.08/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.08/1.05 % SZS output start Refutation
% 1.08/1.05 thf(sk_c6_type, type, sk_c6: $i).
% 1.08/1.05 thf(sk_c8_type, type, sk_c8: $i).
% 1.08/1.05 thf(sk_c2_type, type, sk_c2: $i).
% 1.08/1.05 thf(sk_c5_type, type, sk_c5: $i).
% 1.08/1.05 thf(identity_type, type, identity: $i).
% 1.08/1.05 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.08/1.05 thf(sk_c9_type, type, sk_c9: $i).
% 1.08/1.05 thf(inverse_type, type, inverse: $i > $i).
% 1.08/1.05 thf(sk_c1_type, type, sk_c1: $i).
% 1.08/1.05 thf(sk_c7_type, type, sk_c7: $i).
% 1.08/1.05 thf(sk_c10_type, type, sk_c10: $i).
% 1.08/1.05 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.08/1.05 thf(zip_derived_cl1, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.08/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.08/1.05 thf(prove_this_38, conjecture,
% 1.08/1.05 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.08/1.05 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.08/1.05 thf(zf_stmt_0, negated_conjecture,
% 1.08/1.05 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.08/1.05 inference('cnf.neg', [status(esa)], [prove_this_38])).
% 1.08/1.05 thf(zip_derived_cl40, plain,
% 1.08/1.05 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.08/1.05 thf(prove_this_30, conjecture,
% 1.08/1.05 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) ) ))).
% 1.08/1.05 thf(zf_stmt_1, negated_conjecture,
% 1.08/1.05 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) )),
% 1.08/1.05 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.08/1.05 thf(zip_derived_cl32, plain,
% 1.08/1.05 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c10) = (sk_c2)))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.08/1.05 thf(zip_derived_cl1, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.08/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.08/1.05 thf(associativity, axiom,
% 1.08/1.05 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.08/1.05 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.08/1.05 thf(zip_derived_cl2, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.08/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.08/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.08/1.05 inference('cnf', [status(esa)], [associativity])).
% 1.08/1.05 thf(zip_derived_cl75, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i]:
% 1.08/1.05 ((multiply @ identity @ X0)
% 1.08/1.05 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.08/1.05 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.08/1.05 thf(zip_derived_cl0, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.08/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.08/1.05 thf(zip_derived_cl87, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i]:
% 1.08/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 1.08/1.05 thf(zip_derived_cl106, plain,
% 1.08/1.05 ((((sk_c10) = (multiply @ (inverse @ sk_c1) @ sk_c2))
% 1.08/1.05 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl87])).
% 1.08/1.05 thf(zip_derived_cl213, plain,
% 1.08/1.05 ((((sk_c10) = (multiply @ sk_c10 @ sk_c2))
% 1.08/1.05 | ((inverse @ sk_c5) = (sk_c6))
% 1.08/1.05 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl106])).
% 1.08/1.05 thf(zip_derived_cl222, plain,
% 1.08/1.05 ((((inverse @ sk_c5) = (sk_c6))
% 1.08/1.05 | ((sk_c10) = (multiply @ sk_c10 @ sk_c2)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl213])).
% 1.08/1.05 thf(prove_this_22, conjecture,
% 1.08/1.05 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.08/1.05 thf(zf_stmt_2, negated_conjecture,
% 1.08/1.05 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) )),
% 1.08/1.05 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.08/1.05 thf(zip_derived_cl24, plain,
% 1.08/1.05 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c10 @ sk_c2) = (sk_c9)))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.08/1.05 thf(prove_this_1, conjecture, (( inverse @ sk_c10 ) != ( sk_c9 ))).
% 1.08/1.05 thf(zf_stmt_3, negated_conjecture, (( inverse @ sk_c10 ) = ( sk_c9 )),
% 1.08/1.05 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.08/1.05 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/1.05 thf(zip_derived_cl64, plain,
% 1.08/1.05 ((((inverse @ sk_c5) = (sk_c6))
% 1.08/1.05 | ((multiply @ sk_c10 @ sk_c2) = (inverse @ sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl3])).
% 1.08/1.05 thf(zip_derived_cl241, plain,
% 1.08/1.05 ((((sk_c10) = (inverse @ sk_c10))
% 1.08/1.05 | ((inverse @ sk_c5) = (sk_c6))
% 1.08/1.05 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl222, zip_derived_cl64])).
% 1.08/1.05 thf(zip_derived_cl250, plain,
% 1.08/1.05 ((((inverse @ sk_c5) = (sk_c6)) | ((sk_c10) = (inverse @ sk_c10)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl241])).
% 1.08/1.05 thf(prove_this_37, conjecture,
% 1.08/1.05 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 1.08/1.05 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.08/1.05 thf(zf_stmt_4, negated_conjecture,
% 1.08/1.05 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 1.08/1.05 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.08/1.05 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 1.08/1.05 thf(zip_derived_cl39, plain,
% 1.08/1.05 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.08/1.05 thf(zip_derived_cl1, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.08/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.08/1.05 thf(zip_derived_cl87, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i]:
% 1.08/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 1.08/1.05 thf(zip_derived_cl96, plain,
% 1.08/1.05 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl87])).
% 1.08/1.05 thf(zip_derived_cl261, plain,
% 1.08/1.05 ((((sk_c1) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.08/1.05 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl96])).
% 1.08/1.05 thf(zip_derived_cl96, plain,
% 1.08/1.05 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl87])).
% 1.08/1.05 thf(zip_derived_cl87, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i]:
% 1.08/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 1.08/1.05 thf(zip_derived_cl87, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i]:
% 1.08/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 1.08/1.05 thf(zip_derived_cl93, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i]:
% 1.08/1.05 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl87])).
% 1.08/1.05 thf(zip_derived_cl369, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.08/1.05 thf(zip_derived_cl394, plain,
% 1.08/1.05 ((((sk_c1) = (inverse @ sk_c10)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c8)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl261, zip_derived_cl369])).
% 1.08/1.05 thf(prove_this_8, conjecture,
% 1.08/1.05 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c10 ) ) ))).
% 1.08/1.05 thf(zf_stmt_5, negated_conjecture,
% 1.08/1.05 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c10 ) )),
% 1.08/1.05 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.08/1.05 thf(zip_derived_cl10, plain,
% 1.08/1.05 ((((inverse @ sk_c7) = (sk_c10))
% 1.08/1.05 | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.08/1.05 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/1.05 thf(zip_derived_cl55, plain,
% 1.08/1.05 ((((inverse @ sk_c7) = (sk_c10))
% 1.08/1.05 | ((multiply @ (inverse @ sk_c10) @ sk_c8) = (sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl3])).
% 1.08/1.05 thf(zip_derived_cl369, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.08/1.05 thf(zip_derived_cl96, plain,
% 1.08/1.05 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl87])).
% 1.08/1.05 thf(zip_derived_cl400, plain,
% 1.08/1.05 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl96])).
% 1.08/1.05 thf(zip_derived_cl413, plain,
% 1.08/1.05 ((((sk_c7) = (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ (inverse @ sk_c10) @ sk_c8) = (sk_c10)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl400])).
% 1.08/1.05 thf(prove_this_9, conjecture,
% 1.08/1.05 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c10 ) ) ))).
% 1.08/1.05 thf(zf_stmt_6, negated_conjecture,
% 1.08/1.05 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c10 ) )),
% 1.08/1.05 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.08/1.05 thf(zip_derived_cl11, plain,
% 1.08/1.05 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 1.08/1.05 | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.08/1.05 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/1.05 thf(zip_derived_cl297, plain,
% 1.08/1.05 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 1.08/1.05 | ((multiply @ (inverse @ sk_c10) @ sk_c8) = (sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 1.08/1.05 thf(zip_derived_cl760, plain,
% 1.08/1.05 ((((multiply @ (inverse @ sk_c10) @ sk_c8) = (sk_c10))
% 1.08/1.05 | ((multiply @ (inverse @ sk_c10) @ sk_c8) = (sk_c10))
% 1.08/1.05 | ((multiply @ (inverse @ sk_c10) @ sk_c8) = (sk_c10)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl413, zip_derived_cl297])).
% 1.08/1.05 thf(zip_derived_cl765, plain,
% 1.08/1.05 (((multiply @ (inverse @ sk_c10) @ sk_c8) = (sk_c10))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl760])).
% 1.08/1.05 thf(zip_derived_cl87, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i]:
% 1.08/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 1.08/1.05 thf(zip_derived_cl809, plain,
% 1.08/1.05 (((sk_c8) = (multiply @ (inverse @ (inverse @ sk_c10)) @ sk_c10))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl765, zip_derived_cl87])).
% 1.08/1.05 thf(zip_derived_cl400, plain,
% 1.08/1.05 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl96])).
% 1.08/1.05 thf(zip_derived_cl810, plain, (((sk_c8) = (multiply @ sk_c10 @ sk_c10))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl809, zip_derived_cl400])).
% 1.08/1.05 thf(zip_derived_cl818, plain,
% 1.08/1.05 ((((sk_c1) = (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl394, zip_derived_cl810])).
% 1.08/1.05 thf(prove_this_29, conjecture,
% 1.08/1.05 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) ) ))).
% 1.08/1.05 thf(zf_stmt_7, negated_conjecture,
% 1.08/1.05 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) )),
% 1.08/1.05 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 1.08/1.05 thf(zip_derived_cl31, plain,
% 1.08/1.05 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 1.08/1.05 | ((multiply @ sk_c1 @ sk_c10) = (sk_c2)))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.08/1.05 thf(zip_derived_cl810, plain, (((sk_c8) = (multiply @ sk_c10 @ sk_c10))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl809, zip_derived_cl400])).
% 1.08/1.05 thf(zip_derived_cl977, plain,
% 1.08/1.05 ((((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c1 @ sk_c10) = (sk_c2)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl810])).
% 1.08/1.05 thf(zip_derived_cl988, plain,
% 1.08/1.05 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c2))
% 1.08/1.05 | ((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl818, zip_derived_cl977])).
% 1.08/1.05 thf(zip_derived_cl1, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.08/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.08/1.05 thf(zip_derived_cl994, plain,
% 1.08/1.05 ((((identity) = (sk_c2))
% 1.08/1.05 | ((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl988, zip_derived_cl1])).
% 1.08/1.05 thf(zip_derived_cl995, plain,
% 1.08/1.05 ((((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((identity) = (sk_c2)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl994])).
% 1.08/1.05 thf(prove_this_21, conjecture,
% 1.08/1.05 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.08/1.05 thf(zf_stmt_8, negated_conjecture,
% 1.08/1.05 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) )),
% 1.08/1.05 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.08/1.05 thf(zip_derived_cl23, plain,
% 1.08/1.05 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 1.08/1.05 | ((multiply @ sk_c10 @ sk_c2) = (sk_c9)))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.08/1.05 thf(zip_derived_cl810, plain, (((sk_c8) = (multiply @ sk_c10 @ sk_c10))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl809, zip_derived_cl400])).
% 1.08/1.05 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/1.05 thf(zip_derived_cl961, plain,
% 1.08/1.05 ((((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ sk_c2) = (inverse @ sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)],
% 1.08/1.05 [zip_derived_cl23, zip_derived_cl810, zip_derived_cl3])).
% 1.08/1.05 thf(zip_derived_cl1004, plain,
% 1.08/1.05 ((((multiply @ sk_c10 @ identity) = (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl995, zip_derived_cl961])).
% 1.08/1.05 thf(zip_derived_cl369, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.08/1.05 thf(zip_derived_cl1009, plain,
% 1.08/1.05 ((((sk_c10) = (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl1004, zip_derived_cl369])).
% 1.08/1.05 thf(zip_derived_cl1010, plain,
% 1.08/1.05 ((((multiply @ sk_c5 @ sk_c6) = (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((sk_c10) = (inverse @ sk_c10)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1009])).
% 1.08/1.05 thf(zip_derived_cl1052, plain,
% 1.08/1.05 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((sk_c10) = (inverse @ sk_c10))
% 1.08/1.05 | ((sk_c10) = (inverse @ sk_c10)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl1010])).
% 1.08/1.05 thf(zip_derived_cl400, plain,
% 1.08/1.05 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl96])).
% 1.08/1.05 thf(zip_derived_cl1, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.08/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.08/1.05 thf(zip_derived_cl406, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl400, zip_derived_cl1])).
% 1.08/1.05 thf(zip_derived_cl1055, plain,
% 1.08/1.05 ((((identity) = (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((sk_c10) = (inverse @ sk_c10))
% 1.08/1.05 | ((sk_c10) = (inverse @ sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl1052, zip_derived_cl406])).
% 1.08/1.05 thf(zip_derived_cl1056, plain,
% 1.08/1.05 ((((sk_c10) = (inverse @ sk_c10))
% 1.08/1.05 | ((identity) = (multiply @ sk_c10 @ sk_c10)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1055])).
% 1.08/1.05 thf(zip_derived_cl1, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.08/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.08/1.05 thf(zip_derived_cl1059, plain,
% 1.08/1.05 ((((multiply @ sk_c10 @ sk_c10) = (identity))
% 1.08/1.05 | ((identity) = (multiply @ sk_c10 @ sk_c10)))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl1056, zip_derived_cl1])).
% 1.08/1.05 thf(zip_derived_cl1065, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1059])).
% 1.08/1.05 thf(zip_derived_cl87, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i]:
% 1.08/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 1.08/1.05 thf(zip_derived_cl1080, plain,
% 1.08/1.05 (((sk_c10) = (multiply @ (inverse @ sk_c10) @ identity))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl1065, zip_derived_cl87])).
% 1.08/1.05 thf(zip_derived_cl369, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.08/1.05 thf(zip_derived_cl1149, plain, (((sk_c10) = (inverse @ sk_c10))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl1080, zip_derived_cl369])).
% 1.08/1.05 thf(zip_derived_cl1149, plain, (((sk_c10) = (inverse @ sk_c10))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl1080, zip_derived_cl369])).
% 1.08/1.05 thf(prove_this_42, conjecture,
% 1.08/1.05 (~( ( ( multiply @ X7 @ sk_c8 ) != ( sk_c10 ) ) |
% 1.08/1.05 ( ( inverse @ X7 ) != ( sk_c10 ) ) |
% 1.08/1.05 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.08/1.05 ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.08/1.05 ( ( multiply @ X5 @ X6 ) != ( sk_c8 ) ) |
% 1.08/1.05 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 1.08/1.05 ( ( multiply @ X2 @ sk_c10 ) != ( X1 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c10 @ X1 ) != ( sk_c9 ) ) |
% 1.08/1.05 ( ( inverse @ X4 ) != ( sk_c10 ) ) |
% 1.08/1.05 ( ( multiply @ X4 @ sk_c10 ) != ( X3 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c10 @ X3 ) != ( sk_c9 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c10 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c10 ) ) |
% 1.08/1.05 ( ( inverse @ sk_c10 ) != ( sk_c9 ) ) ))).
% 1.08/1.05 thf(zf_stmt_9, negated_conjecture,
% 1.08/1.05 (( ( multiply @ X7 @ sk_c8 ) != ( sk_c10 ) ) |
% 1.08/1.05 ( ( inverse @ X7 ) != ( sk_c10 ) ) |
% 1.08/1.05 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.08/1.05 ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.08/1.05 ( ( multiply @ X5 @ X6 ) != ( sk_c8 ) ) |
% 1.08/1.05 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 1.08/1.05 ( ( multiply @ X2 @ sk_c10 ) != ( X1 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c10 @ X1 ) != ( sk_c9 ) ) |
% 1.08/1.05 ( ( inverse @ X4 ) != ( sk_c10 ) ) |
% 1.08/1.05 ( ( multiply @ X4 @ sk_c10 ) != ( X3 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c10 @ X3 ) != ( sk_c9 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c10 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.08/1.05 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c10 ) ) |
% 1.08/1.05 ( ( inverse @ sk_c10 ) != ( sk_c9 ) )),
% 1.08/1.05 inference('cnf.neg', [status(esa)], [prove_this_42])).
% 1.08/1.05 thf(zip_derived_cl44, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.08/1.05 (((multiply @ X0 @ sk_c8) != (sk_c10))
% 1.08/1.05 | ((inverse @ X0) != (sk_c10))
% 1.08/1.05 | ((multiply @ X1 @ sk_c9) != (sk_c8))
% 1.08/1.05 | ((inverse @ X2) != (X1))
% 1.08/1.05 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.08/1.05 | ((inverse @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4) != (sk_c9))
% 1.08/1.05 | ((inverse @ X5) != (sk_c10))
% 1.08/1.05 | ((multiply @ X5 @ sk_c10) != (X6))
% 1.08/1.05 | ((multiply @ sk_c10 @ X6) != (sk_c9))
% 1.08/1.05 | ((multiply @ sk_c10 @ sk_c8) != (sk_c9))
% 1.08/1.05 | ((multiply @ sk_c9 @ sk_c8) != (sk_c10))
% 1.08/1.05 | ((inverse @ sk_c10) != (sk_c9)))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.08/1.05 thf(zip_derived_cl45, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.08/1.05 (((multiply @ X0 @ sk_c8) != (sk_c10))
% 1.08/1.05 | ((inverse @ X0) != (sk_c10))
% 1.08/1.05 | ((multiply @ X1 @ (inverse @ sk_c10)) != (sk_c8))
% 1.08/1.05 | ((inverse @ X2) != (X1))
% 1.08/1.05 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.08/1.05 | ((inverse @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4) != (inverse @ sk_c10))
% 1.08/1.05 | ((inverse @ X5) != (sk_c10))
% 1.08/1.05 | ((multiply @ X5 @ sk_c10) != (X6))
% 1.08/1.05 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ sk_c8) != (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ (inverse @ sk_c10) @ sk_c8) != (sk_c10))
% 1.08/1.05 | ((inverse @ sk_c10) != (sk_c9)))),
% 1.08/1.05 inference('local_rewriting', [status(thm)], [zip_derived_cl44])).
% 1.08/1.05 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 1.08/1.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/1.05 thf(zip_derived_cl46, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.08/1.05 (((multiply @ X0 @ sk_c8) != (sk_c10))
% 1.08/1.05 | ((inverse @ X0) != (sk_c10))
% 1.08/1.05 | ((multiply @ X1 @ (inverse @ sk_c10)) != (sk_c8))
% 1.08/1.05 | ((inverse @ X2) != (X1))
% 1.08/1.05 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.08/1.05 | ((inverse @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4) != (inverse @ sk_c10))
% 1.08/1.05 | ((inverse @ X5) != (sk_c10))
% 1.08/1.05 | ((multiply @ X5 @ sk_c10) != (X6))
% 1.08/1.05 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ sk_c8) != (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ (inverse @ sk_c10) @ sk_c8) != (sk_c10))
% 1.08/1.05 | ((inverse @ sk_c10) != (inverse @ sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl3])).
% 1.08/1.05 thf(zip_derived_cl47, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.08/1.05 (((multiply @ (inverse @ sk_c10) @ sk_c8) != (sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ sk_c8) != (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ X5 @ sk_c10) != (X6))
% 1.08/1.05 | ((inverse @ X5) != (sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4) != (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.08/1.05 | ((inverse @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.08/1.05 | ((inverse @ X2) != (X1))
% 1.08/1.05 | ((multiply @ X1 @ (inverse @ sk_c10)) != (sk_c8))
% 1.08/1.05 | ((inverse @ X0) != (sk_c10))
% 1.08/1.05 | ((multiply @ X0 @ sk_c8) != (sk_c10)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl46])).
% 1.08/1.05 thf(zip_derived_cl765, plain,
% 1.08/1.05 (((multiply @ (inverse @ sk_c10) @ sk_c8) = (sk_c10))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl760])).
% 1.08/1.05 thf(zip_derived_cl806, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.08/1.05 (((sk_c10) != (sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ sk_c8) != (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ X5 @ sk_c10) != (X6))
% 1.08/1.05 | ((inverse @ X5) != (sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4) != (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.08/1.05 | ((inverse @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.08/1.05 | ((inverse @ X2) != (X1))
% 1.08/1.05 | ((multiply @ X1 @ (inverse @ sk_c10)) != (sk_c8))
% 1.08/1.05 | ((inverse @ X0) != (sk_c10))
% 1.08/1.05 | ((multiply @ X0 @ sk_c8) != (sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl765])).
% 1.08/1.05 thf(zip_derived_cl807, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.08/1.05 (((multiply @ X0 @ sk_c8) != (sk_c10))
% 1.08/1.05 | ((inverse @ X0) != (sk_c10))
% 1.08/1.05 | ((multiply @ X1 @ (inverse @ sk_c10)) != (sk_c8))
% 1.08/1.05 | ((inverse @ X2) != (X1))
% 1.08/1.05 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.08/1.05 | ((inverse @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4) != (inverse @ sk_c10))
% 1.08/1.05 | ((inverse @ X5) != (sk_c10))
% 1.08/1.05 | ((multiply @ X5 @ sk_c10) != (X6))
% 1.08/1.05 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ sk_c8) != (inverse @ sk_c10)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl806])).
% 1.08/1.05 thf(zip_derived_cl810, plain, (((sk_c8) = (multiply @ sk_c10 @ sk_c10))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl809, zip_derived_cl400])).
% 1.08/1.05 thf(zip_derived_cl810, plain, (((sk_c8) = (multiply @ sk_c10 @ sk_c10))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl809, zip_derived_cl400])).
% 1.08/1.05 thf(zip_derived_cl810, plain, (((sk_c8) = (multiply @ sk_c10 @ sk_c10))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl809, zip_derived_cl400])).
% 1.08/1.05 thf(zip_derived_cl810, plain, (((sk_c8) = (multiply @ sk_c10 @ sk_c10))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl809, zip_derived_cl400])).
% 1.08/1.05 thf(zip_derived_cl860, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.08/1.05 (((multiply @ X0 @ (multiply @ sk_c10 @ sk_c10)) != (sk_c10))
% 1.08/1.05 | ((inverse @ X0) != (sk_c10))
% 1.08/1.05 | ((multiply @ X1 @ (inverse @ sk_c10))
% 1.08/1.05 != (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((inverse @ X2) != (X1))
% 1.08/1.05 | ((multiply @ X2 @ X1) != (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((inverse @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4) != (inverse @ sk_c10))
% 1.08/1.05 | ((inverse @ X5) != (sk_c10))
% 1.08/1.05 | ((multiply @ X5 @ sk_c10) != (X6))
% 1.08/1.05 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 != (inverse @ sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)],
% 1.08/1.05 [zip_derived_cl807, zip_derived_cl810, zip_derived_cl810,
% 1.08/1.05 zip_derived_cl810, zip_derived_cl810])).
% 1.08/1.05 thf(zip_derived_cl861, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.08/1.05 (((multiply @ X0 @ (multiply @ sk_c10 @ sk_c10)) != (sk_c10))
% 1.08/1.05 | ((inverse @ X0) != (sk_c10))
% 1.08/1.05 | ((multiply @ X1 @
% 1.08/1.05 (multiply @ sk_c10 @ (multiply @ sk_c10 @ sk_c10)))
% 1.08/1.05 != (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((inverse @ X2) != (X1))
% 1.08/1.05 | ((multiply @ X2 @ X1) != (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 | ((inverse @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4)
% 1.08/1.05 != (multiply @ sk_c10 @ (multiply @ sk_c10 @ sk_c10)))
% 1.08/1.05 | ((inverse @ X5) != (sk_c10))
% 1.08/1.05 | ((multiply @ X5 @ sk_c10) != (X6))
% 1.08/1.05 | ((multiply @ sk_c10 @ X6)
% 1.08/1.05 != (multiply @ sk_c10 @ (multiply @ sk_c10 @ sk_c10)))
% 1.08/1.05 | ((multiply @ sk_c10 @ (multiply @ sk_c10 @ sk_c10))
% 1.08/1.05 != (inverse @ sk_c10)))),
% 1.08/1.05 inference('local_rewriting', [status(thm)], [zip_derived_cl860])).
% 1.08/1.05 thf(zip_derived_cl1065, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1059])).
% 1.08/1.05 thf(zip_derived_cl369, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.08/1.05 thf(zip_derived_cl1065, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1059])).
% 1.08/1.05 thf(zip_derived_cl369, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.08/1.05 thf(zip_derived_cl1065, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1059])).
% 1.08/1.05 thf(zip_derived_cl1065, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1059])).
% 1.08/1.05 thf(zip_derived_cl1065, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1059])).
% 1.08/1.05 thf(zip_derived_cl369, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.08/1.05 thf(zip_derived_cl1065, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1059])).
% 1.08/1.05 thf(zip_derived_cl369, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.08/1.05 thf(zip_derived_cl1065, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1059])).
% 1.08/1.05 thf(zip_derived_cl369, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.08/1.05 thf(zip_derived_cl1074, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.08/1.05 (((X0) != (sk_c10))
% 1.08/1.05 | ((inverse @ X0) != (sk_c10))
% 1.08/1.05 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X2) != (X1))
% 1.08/1.05 | ((multiply @ X2 @ X1) != (identity))
% 1.08/1.05 | ((inverse @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4) != (sk_c10))
% 1.08/1.05 | ((inverse @ X5) != (sk_c10))
% 1.08/1.05 | ((multiply @ X5 @ sk_c10) != (X6))
% 1.08/1.05 | ((multiply @ sk_c10 @ X6) != (sk_c10))
% 1.08/1.05 | ((sk_c10) != (inverse @ sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)],
% 1.08/1.05 [zip_derived_cl861, zip_derived_cl1065, zip_derived_cl369,
% 1.08/1.05 zip_derived_cl1065, zip_derived_cl369, zip_derived_cl1065,
% 1.08/1.05 zip_derived_cl1065, zip_derived_cl1065, zip_derived_cl369,
% 1.08/1.05 zip_derived_cl1065, zip_derived_cl369, zip_derived_cl1065,
% 1.08/1.05 zip_derived_cl369])).
% 1.08/1.05 thf(zip_derived_cl1149, plain, (((sk_c10) = (inverse @ sk_c10))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl1080, zip_derived_cl369])).
% 1.08/1.05 thf(zip_derived_cl1168, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.08/1.05 (((X0) != (sk_c10))
% 1.08/1.05 | ((inverse @ X0) != (sk_c10))
% 1.08/1.05 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X2) != (X1))
% 1.08/1.05 | ((multiply @ X2 @ X1) != (identity))
% 1.08/1.05 | ((inverse @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4) != (sk_c10))
% 1.08/1.05 | ((inverse @ X5) != (sk_c10))
% 1.08/1.05 | ((multiply @ X5 @ sk_c10) != (X6))
% 1.08/1.05 | ((multiply @ sk_c10 @ X6) != (sk_c10))
% 1.08/1.05 | ((sk_c10) != (sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)],
% 1.08/1.05 [zip_derived_cl1074, zip_derived_cl1149])).
% 1.08/1.05 thf(zip_derived_cl1169, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.08/1.05 (((multiply @ sk_c10 @ X6) != (sk_c10))
% 1.08/1.05 | ((multiply @ X5 @ sk_c10) != (X6))
% 1.08/1.05 | ((inverse @ X5) != (sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4) != (sk_c10))
% 1.08/1.05 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.08/1.05 | ((inverse @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X2 @ X1) != (identity))
% 1.08/1.05 | ((inverse @ X2) != (X1))
% 1.08/1.05 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X0) != (sk_c10))
% 1.08/1.05 | ((X0) != (sk_c10)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1168])).
% 1.08/1.05 thf(zip_derived_cl1322, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.08/1.05 (((inverse @ sk_c10) != (sk_c10))
% 1.08/1.05 | ((multiply @ X0 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((inverse @ X2) != (sk_c10))
% 1.08/1.05 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.08/1.05 | ((multiply @ sk_c10 @ X3) != (sk_c10))
% 1.08/1.05 | ((inverse @ X4) != (sk_c10))
% 1.08/1.05 | ((multiply @ X4 @ sk_c10) != (X5))
% 1.08/1.05 | ((multiply @ sk_c10 @ X5) != (sk_c10)))),
% 1.08/1.05 inference('eq_res', [status(thm)], [zip_derived_cl1169])).
% 1.08/1.05 thf(zip_derived_cl1149, plain, (((sk_c10) = (inverse @ sk_c10))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl1080, zip_derived_cl369])).
% 1.08/1.05 thf(zip_derived_cl1323, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.08/1.05 (((sk_c10) != (sk_c10))
% 1.08/1.05 | ((multiply @ X0 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((inverse @ X2) != (sk_c10))
% 1.08/1.05 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.08/1.05 | ((multiply @ sk_c10 @ X3) != (sk_c10))
% 1.08/1.05 | ((inverse @ X4) != (sk_c10))
% 1.08/1.05 | ((multiply @ X4 @ sk_c10) != (X5))
% 1.08/1.05 | ((multiply @ sk_c10 @ X5) != (sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)],
% 1.08/1.05 [zip_derived_cl1322, zip_derived_cl1149])).
% 1.08/1.05 thf(zip_derived_cl1324, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.08/1.05 (((multiply @ sk_c10 @ X5) != (sk_c10))
% 1.08/1.05 | ((multiply @ X4 @ sk_c10) != (X5))
% 1.08/1.05 | ((inverse @ X4) != (sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.08/1.05 | ((inverse @ X2) != (sk_c10))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1323])).
% 1.08/1.05 thf(zip_derived_cl1326, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.08/1.05 (((sk_c10) != (sk_c10))
% 1.08/1.05 | ((multiply @ X0 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((inverse @ X2) != (sk_c10))
% 1.08/1.05 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.08/1.05 | ((multiply @ sk_c10 @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ sk_c10) != (X4))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4) != (sk_c10)))),
% 1.08/1.05 inference('sup-', [status(thm)], [zip_derived_cl1149, zip_derived_cl1324])).
% 1.08/1.05 thf(zip_derived_cl1065, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1059])).
% 1.08/1.05 thf(zip_derived_cl1332, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.08/1.05 (((sk_c10) != (sk_c10))
% 1.08/1.05 | ((multiply @ X0 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((inverse @ X2) != (sk_c10))
% 1.08/1.05 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.08/1.05 | ((multiply @ sk_c10 @ X3) != (sk_c10))
% 1.08/1.05 | ((identity) != (X4))
% 1.08/1.05 | ((multiply @ sk_c10 @ X4) != (sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)],
% 1.08/1.05 [zip_derived_cl1326, zip_derived_cl1065])).
% 1.08/1.05 thf(zip_derived_cl1333, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.08/1.05 (((multiply @ sk_c10 @ X4) != (sk_c10))
% 1.08/1.05 | ((identity) != (X4))
% 1.08/1.05 | ((multiply @ sk_c10 @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.08/1.05 | ((inverse @ X2) != (sk_c10))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1332])).
% 1.08/1.05 thf(zip_derived_cl1339, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.08/1.05 (((multiply @ X0 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((inverse @ X2) != (sk_c10))
% 1.08/1.05 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.08/1.05 | ((multiply @ sk_c10 @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ sk_c10 @ identity) != (sk_c10)))),
% 1.08/1.05 inference('eq_res', [status(thm)], [zip_derived_cl1333])).
% 1.08/1.05 thf(zip_derived_cl369, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.08/1.05 thf(zip_derived_cl1340, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.08/1.05 (((multiply @ X0 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((inverse @ X2) != (sk_c10))
% 1.08/1.05 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.08/1.05 | ((multiply @ sk_c10 @ X3) != (sk_c10))
% 1.08/1.05 | ((sk_c10) != (sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl1339, zip_derived_cl369])).
% 1.08/1.05 thf(zip_derived_cl1341, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.08/1.05 (((multiply @ sk_c10 @ X3) != (sk_c10))
% 1.08/1.05 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.08/1.05 | ((inverse @ X2) != (sk_c10))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1340])).
% 1.08/1.05 thf(zip_derived_cl1343, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.08/1.05 (((sk_c10) != (sk_c10))
% 1.08/1.05 | ((multiply @ X0 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((multiply @ sk_c10 @ sk_c10) != (X2))
% 1.08/1.05 | ((multiply @ sk_c10 @ X2) != (sk_c10)))),
% 1.08/1.05 inference('sup-', [status(thm)], [zip_derived_cl1149, zip_derived_cl1341])).
% 1.08/1.05 thf(zip_derived_cl1065, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1059])).
% 1.08/1.05 thf(zip_derived_cl1349, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.08/1.05 (((sk_c10) != (sk_c10))
% 1.08/1.05 | ((multiply @ X0 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((identity) != (X2))
% 1.08/1.05 | ((multiply @ sk_c10 @ X2) != (sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)],
% 1.08/1.05 [zip_derived_cl1343, zip_derived_cl1065])).
% 1.08/1.05 thf(zip_derived_cl1350, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.08/1.05 (((multiply @ sk_c10 @ X2) != (sk_c10))
% 1.08/1.05 | ((identity) != (X2))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1349])).
% 1.08/1.05 thf(zip_derived_cl1356, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i]:
% 1.08/1.05 (((multiply @ X0 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((multiply @ sk_c10 @ identity) != (sk_c10)))),
% 1.08/1.05 inference('eq_res', [status(thm)], [zip_derived_cl1350])).
% 1.08/1.05 thf(zip_derived_cl369, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl93])).
% 1.08/1.05 thf(zip_derived_cl1357, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i]:
% 1.08/1.05 (((multiply @ X0 @ sk_c10) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((sk_c10) != (sk_c10)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl1356, zip_derived_cl369])).
% 1.08/1.05 thf(zip_derived_cl1358, plain,
% 1.08/1.05 (![X0 : $i, X1 : $i]:
% 1.08/1.05 (((multiply @ X1 @ X0) != (identity))
% 1.08/1.05 | ((inverse @ X1) != (X0))
% 1.08/1.05 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 1.08/1.05 thf(zip_derived_cl1512, plain,
% 1.08/1.05 (![X0 : $i]:
% 1.08/1.05 (((multiply @ (inverse @ X0) @ sk_c10) != (identity))
% 1.08/1.05 | ((multiply @ X0 @ (inverse @ X0)) != (identity)))),
% 1.08/1.05 inference('eq_res', [status(thm)], [zip_derived_cl1358])).
% 1.08/1.05 thf(zip_derived_cl406, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.08/1.05 inference('sup+', [status(thm)], [zip_derived_cl400, zip_derived_cl1])).
% 1.08/1.05 thf(zip_derived_cl1513, plain,
% 1.08/1.05 (![X0 : $i]:
% 1.08/1.05 (((multiply @ (inverse @ X0) @ sk_c10) != (identity))
% 1.08/1.05 | ((identity) != (identity)))),
% 1.08/1.05 inference('demod', [status(thm)], [zip_derived_cl1512, zip_derived_cl406])).
% 1.08/1.05 thf(zip_derived_cl1514, plain,
% 1.08/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ sk_c10) != (identity))),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1513])).
% 1.08/1.05 thf(zip_derived_cl1517, plain, (((identity) != (identity))),
% 1.08/1.05 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1514])).
% 1.08/1.05 thf(zip_derived_cl1524, plain, ($false),
% 1.08/1.05 inference('simplify', [status(thm)], [zip_derived_cl1517])).
% 1.08/1.05
% 1.08/1.05 % SZS output end Refutation
% 1.08/1.05
% 1.08/1.05
% 1.08/1.05 % Terminating...
% 1.08/1.12 % Runner terminated.
% 2.08/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------