TSTP Solution File: GRP225-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP225-1 : 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.0VqVpBzzuw true
% Computer : n005.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 01:50:48 EDT 2023
% Result : Unsatisfiable 16.86s 3.06s
% Output : Refutation 16.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP225-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0VqVpBzzuw true
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:04:08 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 16.86/3.06 % Solved by fo/fo7.sh.
% 16.86/3.06 % done 9360 iterations in 2.288s
% 16.86/3.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 16.86/3.06 % SZS output start Refutation
% 16.86/3.06 thf(sk_c7_type, type, sk_c7: $i).
% 16.86/3.06 thf(sk_c4_type, type, sk_c4: $i).
% 16.86/3.06 thf(sk_c2_type, type, sk_c2: $i).
% 16.86/3.06 thf(sk_c6_type, type, sk_c6: $i).
% 16.86/3.06 thf(sk_c5_type, type, sk_c5: $i).
% 16.86/3.06 thf(identity_type, type, identity: $i).
% 16.86/3.06 thf(multiply_type, type, multiply: $i > $i > $i).
% 16.86/3.06 thf(sk_c9_type, type, sk_c9: $i).
% 16.86/3.06 thf(inverse_type, type, inverse: $i > $i).
% 16.86/3.06 thf(sk_c8_type, type, sk_c8: $i).
% 16.86/3.06 thf(sk_c3_type, type, sk_c3: $i).
% 16.86/3.06 thf(sk_c1_type, type, sk_c1: $i).
% 16.86/3.06 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(associativity, axiom,
% 16.86/3.06 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 16.86/3.06 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 16.86/3.06 thf(zip_derived_cl2, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.86/3.06 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 16.86/3.06 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 16.86/3.06 inference('cnf', [status(esa)], [associativity])).
% 16.86/3.06 thf(zip_derived_cl89, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((multiply @ identity @ X0)
% 16.86/3.06 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 16.86/3.06 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 16.86/3.06 thf(zip_derived_cl0, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_identity])).
% 16.86/3.06 thf(zip_derived_cl107, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl118, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl107])).
% 16.86/3.06 thf(zip_derived_cl107, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl107, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl115, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl107, zip_derived_cl107])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl118, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl107])).
% 16.86/3.06 thf(zip_derived_cl464, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl118])).
% 16.86/3.06 thf(prove_this_36, conjecture,
% 16.86/3.06 (~( ( ( multiply @ X3 @ sk_c9 ) != ( sk_c8 ) ) |
% 16.86/3.06 ( ( inverse @ X7 ) != ( X3 ) ) |
% 16.86/3.06 ( ( multiply @ X7 @ X3 ) != ( sk_c8 ) ) |
% 16.86/3.06 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ X4 ) != ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_0, negated_conjecture,
% 16.86/3.06 (( ( multiply @ X3 @ sk_c9 ) != ( sk_c8 ) ) |
% 16.86/3.06 ( ( inverse @ X7 ) != ( X3 ) ) |
% 16.86/3.06 ( ( multiply @ X7 @ X3 ) != ( sk_c8 ) ) |
% 16.86/3.06 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ X1 ) != ( sk_c9 ) ) | ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ X4 ) != ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 16.86/3.06 thf(zip_derived_cl38, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.86/3.06 (((multiply @ X0 @ sk_c9) != (sk_c8))
% 16.86/3.06 | ((inverse @ X1) != (X0))
% 16.86/3.06 | ((multiply @ X1 @ X0) != (sk_c8))
% 16.86/3.06 | ((inverse @ X2) != (sk_c8))
% 16.86/3.06 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((multiply @ X3 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((inverse @ X4) != (sk_c9))
% 16.86/3.06 | ((multiply @ X4 @ sk_c9) != (X5))
% 16.86/3.06 | ((multiply @ sk_c9 @ X5) != (sk_c8))
% 16.86/3.06 | ((multiply @ X6 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X6) != (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 16.86/3.06 thf(zip_derived_cl565, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.86/3.06 (((X0) != (X1))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ X3) != (sk_c8))
% 16.86/3.06 | ((multiply @ X4 @ sk_c9) != (X3))
% 16.86/3.06 | ((inverse @ X4) != (sk_c9))
% 16.86/3.06 | ((inverse @ X5) != (sk_c9))
% 16.86/3.06 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((multiply @ X6 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X6) != (sk_c8))
% 16.86/3.06 | ((multiply @ (inverse @ X0) @ X1) != (sk_c8))
% 16.86/3.06 | ((multiply @ X1 @ sk_c9) != (sk_c8)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl464, zip_derived_cl38])).
% 16.86/3.06 thf(zip_derived_cl700, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.86/3.06 (((multiply @ X0 @ sk_c9) != (sk_c8))
% 16.86/3.06 | ((multiply @ (inverse @ X0) @ X0) != (sk_c8))
% 16.86/3.06 | ((inverse @ X1) != (sk_c8))
% 16.86/3.06 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((multiply @ X3 @ sk_c9) != (X4))
% 16.86/3.06 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 16.86/3.06 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X5) != (sk_c9)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl565])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl701, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.86/3.06 (((multiply @ X0 @ sk_c9) != (sk_c8))
% 16.86/3.06 | ((identity) != (sk_c8))
% 16.86/3.06 | ((inverse @ X1) != (sk_c8))
% 16.86/3.06 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((multiply @ X3 @ sk_c9) != (X4))
% 16.86/3.06 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 16.86/3.06 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X5) != (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl700, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl702, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.86/3.06 (((multiply @ X0 @ sk_c9) != (identity))
% 16.86/3.06 | ((identity) != (sk_c8))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((multiply @ X1 @ identity) != (sk_c9))
% 16.86/3.06 | ((multiply @ X2 @ identity) != (sk_c9))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((multiply @ X3 @ sk_c9) != (X4))
% 16.86/3.06 | ((multiply @ sk_c9 @ X4) != (identity))
% 16.86/3.06 | ((multiply @ X5 @ identity) != (sk_c9))
% 16.86/3.06 | ((inverse @ X5) != (sk_c9)))),
% 16.86/3.06 inference('local_rewriting', [status(thm)], [zip_derived_cl701])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl703, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.86/3.06 (((multiply @ X0 @ sk_c9) != (identity))
% 16.86/3.06 | ((identity) != (sk_c8))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (sk_c9))
% 16.86/3.06 | ((X2) != (sk_c9))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((multiply @ X3 @ sk_c9) != (X4))
% 16.86/3.06 | ((multiply @ sk_c9 @ X4) != (identity))
% 16.86/3.06 | ((X5) != (sk_c9))
% 16.86/3.06 | ((inverse @ X5) != (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl702, zip_derived_cl435, zip_derived_cl435,
% 16.86/3.06 zip_derived_cl435])).
% 16.86/3.06 thf(prove_this_6, conjecture,
% 16.86/3.06 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_1, negated_conjecture,
% 16.86/3.06 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 16.86/3.06 thf(zip_derived_cl8, plain,
% 16.86/3.06 ((((inverse @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 16.86/3.06 thf(prove_this_5, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_2, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 16.86/3.06 thf(zip_derived_cl7, plain,
% 16.86/3.06 ((((multiply @ sk_c6 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_2])).
% 16.86/3.06 thf(zip_derived_cl76, plain,
% 16.86/3.06 ((((multiply @ sk_c6 @ (inverse @ sk_c6)) = (sk_c8))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl7])).
% 16.86/3.06 thf(zip_derived_cl78, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c6 @ (inverse @ sk_c6)) = (sk_c8)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl76])).
% 16.86/3.06 thf(zip_derived_cl464, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl118])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl562, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl464, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl1526, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (sk_c8)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl562])).
% 16.86/3.06 thf(prove_this_2, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_3, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 16.86/3.06 thf(zip_derived_cl4, plain,
% 16.86/3.06 ((((multiply @ sk_c4 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_3])).
% 16.86/3.06 thf(zip_derived_cl1527, plain,
% 16.86/3.06 ((((multiply @ sk_c4 @ identity) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1526, zip_derived_cl4])).
% 16.86/3.06 thf(zip_derived_cl1549, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c4 @ identity) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1527])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl1564, plain,
% 16.86/3.06 ((((sk_c9) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1549, zip_derived_cl435])).
% 16.86/3.06 thf(prove_this_1, conjecture,
% 16.86/3.06 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_4, negated_conjecture,
% 16.86/3.06 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 16.86/3.06 thf(zip_derived_cl3, plain,
% 16.86/3.06 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_4])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl43, plain,
% 16.86/3.06 ((((multiply @ sk_c9 @ sk_c4) = (identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl1573, plain,
% 16.86/3.06 ((((multiply @ sk_c9 @ sk_c9) = (identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1564, zip_derived_cl43])).
% 16.86/3.06 thf(zip_derived_cl1584, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ sk_c9) = (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1573])).
% 16.86/3.06 thf(zip_derived_cl1564, plain,
% 16.86/3.06 ((((sk_c9) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1549, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3, plain,
% 16.86/3.06 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_4])).
% 16.86/3.06 thf(zip_derived_cl1570, plain,
% 16.86/3.06 ((((inverse @ sk_c9) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1564, zip_derived_cl3])).
% 16.86/3.06 thf(zip_derived_cl1582, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((inverse @ sk_c9) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1570])).
% 16.86/3.06 thf(zip_derived_cl1582, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((inverse @ sk_c9) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1570])).
% 16.86/3.06 thf(zip_derived_cl1582, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((inverse @ sk_c9) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1570])).
% 16.86/3.06 thf(zip_derived_cl1526, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (sk_c8)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl562])).
% 16.86/3.06 thf(prove_this_3, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_5, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 16.86/3.06 thf(zip_derived_cl5, plain,
% 16.86/3.06 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_5])).
% 16.86/3.06 thf(zip_derived_cl1528, plain,
% 16.86/3.06 ((((multiply @ sk_c5 @ identity) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1526, zip_derived_cl5])).
% 16.86/3.06 thf(zip_derived_cl1550, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c5 @ identity) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1528])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl1605, plain,
% 16.86/3.06 ((((sk_c9) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1550, zip_derived_cl435])).
% 16.86/3.06 thf(prove_this_4, conjecture,
% 16.86/3.06 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_6, negated_conjecture,
% 16.86/3.06 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 16.86/3.06 thf(zip_derived_cl6, plain,
% 16.86/3.06 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_6])).
% 16.86/3.06 thf(zip_derived_cl1613, plain,
% 16.86/3.06 ((((inverse @ sk_c9) = (sk_c8))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1605, zip_derived_cl6])).
% 16.86/3.06 thf(zip_derived_cl1630, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((inverse @ sk_c9) = (sk_c8)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1613])).
% 16.86/3.06 thf(zip_derived_cl1526, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (sk_c8)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl562])).
% 16.86/3.06 thf(zip_derived_cl1661, plain,
% 16.86/3.06 ((((identity) = (inverse @ sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1630, zip_derived_cl1526])).
% 16.86/3.06 thf(zip_derived_cl1667, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (inverse @ sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 16.86/3.06 thf(zip_derived_cl1526, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (sk_c8)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl562])).
% 16.86/3.06 thf(zip_derived_cl1667, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (inverse @ sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 16.86/3.06 thf(zip_derived_cl464, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl118])).
% 16.86/3.06 thf(zip_derived_cl107, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl566, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl464, zip_derived_cl107])).
% 16.86/3.06 thf(zip_derived_cl1692, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((X0) = (multiply @ sk_c9 @ (multiply @ identity @ X0)))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1667, zip_derived_cl566])).
% 16.86/3.06 thf(zip_derived_cl0, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_identity])).
% 16.86/3.06 thf(zip_derived_cl1699, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((X0) = (multiply @ sk_c9 @ X0)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl1692, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl3, plain,
% 16.86/3.06 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_4])).
% 16.86/3.06 thf(prove_this_30, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_7, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 16.86/3.06 thf(zip_derived_cl32, plain,
% 16.86/3.06 ((((multiply @ sk_c4 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_7])).
% 16.86/3.06 thf(zip_derived_cl464, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl118])).
% 16.86/3.06 thf(zip_derived_cl574, plain,
% 16.86/3.06 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl464])).
% 16.86/3.06 thf(prove_this_23, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 16.86/3.06 thf(zf_stmt_8, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 16.86/3.06 thf(zip_derived_cl25, plain,
% 16.86/3.06 ((((multiply @ sk_c4 @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_8])).
% 16.86/3.06 thf(zip_derived_cl1158, plain,
% 16.86/3.06 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c3))
% 16.86/3.06 | ((multiply @ sk_c4 @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c4 @ sk_c8) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl574, zip_derived_cl25])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl1165, plain,
% 16.86/3.06 ((((identity) = (sk_c3))
% 16.86/3.06 | ((multiply @ sk_c4 @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c4 @ sk_c8) = (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl1158, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl1166, plain,
% 16.86/3.06 ((((multiply @ sk_c4 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c3)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1165])).
% 16.86/3.06 thf(prove_this_16, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 16.86/3.06 thf(zf_stmt_9, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 16.86/3.06 thf(zip_derived_cl18, plain,
% 16.86/3.06 ((((multiply @ sk_c4 @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_9])).
% 16.86/3.06 thf(zip_derived_cl1173, plain,
% 16.86/3.06 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 16.86/3.06 | ((multiply @ sk_c4 @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c4 @ sk_c8) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1166, zip_derived_cl18])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl1185, plain,
% 16.86/3.06 ((((sk_c9) = (sk_c8))
% 16.86/3.06 | ((multiply @ sk_c4 @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c4 @ sk_c8) = (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl1173, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl1186, plain,
% 16.86/3.06 ((((multiply @ sk_c4 @ sk_c8) = (sk_c9)) | ((sk_c9) = (sk_c8)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 16.86/3.06 thf(zip_derived_cl107, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl1236, plain,
% 16.86/3.06 ((((sk_c8) = (multiply @ (inverse @ sk_c4) @ sk_c9))
% 16.86/3.06 | ((sk_c9) = (sk_c8)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1186, zip_derived_cl107])).
% 16.86/3.06 thf(zip_derived_cl1261, plain,
% 16.86/3.06 ((((multiply @ (inverse @ sk_c4) @ sk_c9) != (sk_c9))
% 16.86/3.06 | ((sk_c9) = (sk_c8)))),
% 16.86/3.06 inference('eq_fact', [status(thm)], [zip_derived_cl1236])).
% 16.86/3.06 thf(zip_derived_cl1272, plain,
% 16.86/3.06 ((((multiply @ sk_c9 @ sk_c9) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((sk_c9) = (sk_c8)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1261])).
% 16.86/3.06 thf(zip_derived_cl1784, plain,
% 16.86/3.06 ((((sk_c9) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((sk_c9) = (sk_c8))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl1699, zip_derived_cl1272])).
% 16.86/3.06 thf(zip_derived_cl1801, plain,
% 16.86/3.06 ((((sk_c9) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1784])).
% 16.86/3.06 thf(zip_derived_cl0, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_identity])).
% 16.86/3.06 thf(zip_derived_cl107, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl117, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl107])).
% 16.86/3.06 thf(zip_derived_cl107, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl148, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl107])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl420, plain, (((inverse @ identity) = (identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl38, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 16.86/3.06 (((multiply @ X0 @ sk_c9) != (sk_c8))
% 16.86/3.06 | ((inverse @ X1) != (X0))
% 16.86/3.06 | ((multiply @ X1 @ X0) != (sk_c8))
% 16.86/3.06 | ((inverse @ X2) != (sk_c8))
% 16.86/3.06 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((multiply @ X3 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((inverse @ X4) != (sk_c9))
% 16.86/3.06 | ((multiply @ X4 @ sk_c9) != (X5))
% 16.86/3.06 | ((multiply @ sk_c9 @ X5) != (sk_c8))
% 16.86/3.06 | ((multiply @ X6 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X6) != (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 16.86/3.06 thf(zip_derived_cl426, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.86/3.06 (((identity) != (X0))
% 16.86/3.06 | ((inverse @ X1) != (sk_c9))
% 16.86/3.06 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ X2) != (sk_c8))
% 16.86/3.06 | ((multiply @ X3 @ sk_c9) != (X2))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((inverse @ X4) != (sk_c9))
% 16.86/3.06 | ((multiply @ X4 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X5) != (sk_c8))
% 16.86/3.06 | ((multiply @ identity @ X0) != (sk_c8))
% 16.86/3.06 | ((multiply @ X0 @ sk_c9) != (sk_c8)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl420, zip_derived_cl38])).
% 16.86/3.06 thf(zip_derived_cl0, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_identity])).
% 16.86/3.06 thf(zip_derived_cl429, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.86/3.06 (((identity) != (X0))
% 16.86/3.06 | ((inverse @ X1) != (sk_c9))
% 16.86/3.06 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ X2) != (sk_c8))
% 16.86/3.06 | ((multiply @ X3 @ sk_c9) != (X2))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((inverse @ X4) != (sk_c9))
% 16.86/3.06 | ((multiply @ X4 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X5) != (sk_c8))
% 16.86/3.06 | ((X0) != (sk_c8))
% 16.86/3.06 | ((multiply @ X0 @ sk_c9) != (sk_c8)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl426, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl527, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((multiply @ identity @ sk_c9) != (sk_c8))
% 16.86/3.06 | ((identity) != (sk_c8))
% 16.86/3.06 | ((inverse @ X0) != (sk_c8))
% 16.86/3.06 | ((multiply @ X0 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X1) != (sk_c9))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((multiply @ X2 @ sk_c9) != (X3))
% 16.86/3.06 | ((multiply @ sk_c9 @ X3) != (sk_c8))
% 16.86/3.06 | ((multiply @ X4 @ sk_c8) != (sk_c9))
% 16.86/3.06 | ((inverse @ X4) != (sk_c9)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl429])).
% 16.86/3.06 thf(zip_derived_cl528, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((multiply @ identity @ sk_c9) != (sk_c8))
% 16.86/3.06 | ((identity) != (sk_c8))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((multiply @ X0 @ identity) != (sk_c9))
% 16.86/3.06 | ((multiply @ X1 @ identity) != (sk_c9))
% 16.86/3.06 | ((inverse @ X1) != (sk_c9))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((multiply @ X2 @ sk_c9) != (X3))
% 16.86/3.06 | ((multiply @ sk_c9 @ X3) != (identity))
% 16.86/3.06 | ((multiply @ X4 @ identity) != (sk_c9))
% 16.86/3.06 | ((inverse @ X4) != (sk_c9)))),
% 16.86/3.06 inference('local_rewriting', [status(thm)], [zip_derived_cl527])).
% 16.86/3.06 thf(zip_derived_cl0, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_identity])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl529, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((sk_c9) != (sk_c8))
% 16.86/3.06 | ((identity) != (sk_c8))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((X0) != (sk_c9))
% 16.86/3.06 | ((X1) != (sk_c9))
% 16.86/3.06 | ((inverse @ X1) != (sk_c9))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((multiply @ X2 @ sk_c9) != (X3))
% 16.86/3.06 | ((multiply @ sk_c9 @ X3) != (identity))
% 16.86/3.06 | ((X4) != (sk_c9))
% 16.86/3.06 | ((inverse @ X4) != (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl528, zip_derived_cl0, zip_derived_cl435,
% 16.86/3.06 zip_derived_cl435, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl1813, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((sk_c9) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ X0) != (sk_c9))
% 16.86/3.06 | ((X0) != (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ X1) != (identity))
% 16.86/3.06 | ((multiply @ X2 @ sk_c9) != (X1))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((X3) != (sk_c9))
% 16.86/3.06 | ((X4) != (sk_c9))
% 16.86/3.06 | ((inverse @ X4) != (identity))
% 16.86/3.06 | ((identity) != (sk_c8)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl1801, zip_derived_cl529])).
% 16.86/3.06 thf(zip_derived_cl1832, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((identity) != (sk_c8))
% 16.86/3.06 | ((inverse @ X4) != (identity))
% 16.86/3.06 | ((X4) != (sk_c9))
% 16.86/3.06 | ((X3) != (sk_c9))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((multiply @ X2 @ sk_c9) != (X1))
% 16.86/3.06 | ((multiply @ sk_c9 @ X1) != (identity))
% 16.86/3.06 | ((X0) != (sk_c9))
% 16.86/3.06 | ((inverse @ X0) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1813])).
% 16.86/3.06 thf(zip_derived_cl2822, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((identity) != (identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ X0) != (sk_c9))
% 16.86/3.06 | ((X0) != (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ X1) != (identity))
% 16.86/3.06 | ((multiply @ X2 @ sk_c9) != (X1))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((X3) != (sk_c9))
% 16.86/3.06 | ((X4) != (sk_c9))
% 16.86/3.06 | ((inverse @ X4) != (identity)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl1526, zip_derived_cl1832])).
% 16.86/3.06 thf(zip_derived_cl2832, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((inverse @ X4) != (identity))
% 16.86/3.06 | ((X4) != (sk_c9))
% 16.86/3.06 | ((X3) != (sk_c9))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((multiply @ X2 @ sk_c9) != (X1))
% 16.86/3.06 | ((multiply @ sk_c9 @ X1) != (identity))
% 16.86/3.06 | ((X0) != (sk_c9))
% 16.86/3.06 | ((inverse @ X0) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl2822])).
% 16.86/3.06 thf(zip_derived_cl2841, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.86/3.06 (((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ X0) != (sk_c9))
% 16.86/3.06 | ((X0) != (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ X1) != (identity))
% 16.86/3.06 | ((multiply @ X2 @ sk_c9) != (X1))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((X3) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c9) != (identity)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl2832])).
% 16.86/3.06 thf(zip_derived_cl2843, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.86/3.06 (((identity) != (identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((X0) != (sk_c9))
% 16.86/3.06 | ((inverse @ X0) != (sk_c9))
% 16.86/3.06 | ((inverse @ X1) != (sk_c9))
% 16.86/3.06 | ((multiply @ X1 @ sk_c9) != (X2))
% 16.86/3.06 | ((multiply @ sk_c9 @ X2) != (identity))
% 16.86/3.06 | ((X3) != (sk_c9))
% 16.86/3.06 | ((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl1667, zip_derived_cl2841])).
% 16.86/3.06 thf(zip_derived_cl2849, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.86/3.06 (((inverse @ X3) != (sk_c9))
% 16.86/3.06 | ((X3) != (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ X2) != (identity))
% 16.86/3.06 | ((multiply @ X1 @ sk_c9) != (X2))
% 16.86/3.06 | ((inverse @ X1) != (sk_c9))
% 16.86/3.06 | ((inverse @ X0) != (sk_c9))
% 16.86/3.06 | ((X0) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl2843])).
% 16.86/3.06 thf(zip_derived_cl2859, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.86/3.06 (((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((X0) != (sk_c9))
% 16.86/3.06 | ((inverse @ X0) != (sk_c9))
% 16.86/3.06 | ((inverse @ X1) != (sk_c9))
% 16.86/3.06 | ((multiply @ X1 @ sk_c9) != (X2))
% 16.86/3.06 | ((multiply @ sk_c9 @ X2) != (identity))
% 16.86/3.06 | ((inverse @ sk_c9) != (sk_c9)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl2849])).
% 16.86/3.06 thf(zip_derived_cl2860, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.86/3.06 (((sk_c9) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ X0) != (identity))
% 16.86/3.06 | ((multiply @ X1 @ sk_c9) != (X0))
% 16.86/3.06 | ((inverse @ X1) != (sk_c9))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((X2) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl1582, zip_derived_cl2859])).
% 16.86/3.06 thf(zip_derived_cl2865, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.86/3.06 (((X2) != (sk_c9))
% 16.86/3.06 | ((inverse @ X2) != (sk_c9))
% 16.86/3.06 | ((inverse @ X1) != (sk_c9))
% 16.86/3.06 | ((multiply @ X1 @ sk_c9) != (X0))
% 16.86/3.06 | ((multiply @ sk_c9 @ X0) != (identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl2860])).
% 16.86/3.06 thf(zip_derived_cl2876, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 (((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ X0) != (identity))
% 16.86/3.06 | ((multiply @ X1 @ sk_c9) != (X0))
% 16.86/3.06 | ((inverse @ X1) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c9) != (sk_c9)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl2865])).
% 16.86/3.06 thf(zip_derived_cl2877, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 (((sk_c9) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ X0) != (sk_c9))
% 16.86/3.06 | ((multiply @ X0 @ sk_c9) != (X1))
% 16.86/3.06 | ((multiply @ sk_c9 @ X1) != (identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl1582, zip_derived_cl2876])).
% 16.86/3.06 thf(zip_derived_cl2882, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 (((multiply @ sk_c9 @ X1) != (identity))
% 16.86/3.06 | ((multiply @ X0 @ sk_c9) != (X1))
% 16.86/3.06 | ((inverse @ X0) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl2877])).
% 16.86/3.06 thf(zip_derived_cl2893, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((sk_c9) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ sk_c9) != (X0))
% 16.86/3.06 | ((multiply @ sk_c9 @ X0) != (identity)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl1582, zip_derived_cl2882])).
% 16.86/3.06 thf(zip_derived_cl2920, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((multiply @ sk_c9 @ X0) != (identity))
% 16.86/3.06 | ((multiply @ sk_c9 @ sk_c9) != (X0))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl2893])).
% 16.86/3.06 thf(zip_derived_cl3151, plain,
% 16.86/3.06 ((((identity) != (identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ sk_c9) != (sk_c9)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl1584, zip_derived_cl2920])).
% 16.86/3.06 thf(zip_derived_cl3175, plain,
% 16.86/3.06 ((((multiply @ sk_c9 @ sk_c9) != (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl3151])).
% 16.86/3.06 thf(zip_derived_cl1699, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((X0) = (multiply @ sk_c9 @ X0)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl1692, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3304, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.86/3.06 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 16.86/3.06 | ((identity) != (sk_c8))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (inverse @ sk_c1))
% 16.86/3.06 | ((X2) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X2) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X3) != (inverse @ sk_c1))
% 16.86/3.06 | ((multiply @ X3 @ (inverse @ sk_c1)) != (X4))
% 16.86/3.06 | ((multiply @ (inverse @ sk_c1) @ X4) != (identity))
% 16.86/3.06 | ((X5) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X5) != (inverse @ sk_c1)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl703, zip_derived_cl3242, zip_derived_cl3242,
% 16.86/3.06 zip_derived_cl3242, zip_derived_cl3242, zip_derived_cl3242,
% 16.86/3.06 zip_derived_cl3242, zip_derived_cl3242, zip_derived_cl3242,
% 16.86/3.06 zip_derived_cl3242])).
% 16.86/3.06 thf(prove_this_34, conjecture,
% 16.86/3.06 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_10, negated_conjecture,
% 16.86/3.06 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 16.86/3.06 thf(zip_derived_cl36, plain,
% 16.86/3.06 ((((inverse @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_10])).
% 16.86/3.06 thf(prove_this_27, conjecture,
% 16.86/3.06 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 16.86/3.06 thf(zf_stmt_11, negated_conjecture,
% 16.86/3.06 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 16.86/3.06 thf(zip_derived_cl29, plain,
% 16.86/3.06 ((((inverse @ sk_c6) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_11])).
% 16.86/3.06 thf(zip_derived_cl107, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl135, plain,
% 16.86/3.06 ((((sk_c9) = (multiply @ (inverse @ sk_c2) @ sk_c3))
% 16.86/3.06 | ((inverse @ sk_c6) = (sk_c7)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl107])).
% 16.86/3.06 thf(zip_derived_cl373, plain,
% 16.86/3.06 ((((sk_c9) = (multiply @ sk_c9 @ sk_c3))
% 16.86/3.06 | ((inverse @ sk_c6) = (sk_c7))
% 16.86/3.06 | ((inverse @ sk_c6) = (sk_c7)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl135])).
% 16.86/3.06 thf(zip_derived_cl380, plain,
% 16.86/3.06 ((((inverse @ sk_c6) = (sk_c7)) | ((sk_c9) = (multiply @ sk_c9 @ sk_c3)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl373])).
% 16.86/3.06 thf(prove_this_20, conjecture,
% 16.86/3.06 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 16.86/3.06 thf(zf_stmt_12, negated_conjecture,
% 16.86/3.06 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 16.86/3.06 thf(zip_derived_cl22, plain,
% 16.86/3.06 ((((inverse @ sk_c6) = (sk_c7)) | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_12])).
% 16.86/3.06 thf(zip_derived_cl395, plain,
% 16.86/3.06 ((((sk_c9) = (sk_c8))
% 16.86/3.06 | ((inverse @ sk_c6) = (sk_c7))
% 16.86/3.06 | ((inverse @ sk_c6) = (sk_c7)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl380, zip_derived_cl22])).
% 16.86/3.06 thf(zip_derived_cl405, plain,
% 16.86/3.06 ((((inverse @ sk_c6) = (sk_c7)) | ((sk_c9) = (sk_c8)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl395])).
% 16.86/3.06 thf(prove_this_33, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_13, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 16.86/3.06 thf(zip_derived_cl35, plain,
% 16.86/3.06 ((((multiply @ sk_c6 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_13])).
% 16.86/3.06 thf(zip_derived_cl464, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl118])).
% 16.86/3.06 thf(zip_derived_cl577, plain,
% 16.86/3.06 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c8)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl464])).
% 16.86/3.06 thf(prove_this_26, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 16.86/3.06 thf(zf_stmt_14, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 16.86/3.06 thf(zip_derived_cl28, plain,
% 16.86/3.06 ((((multiply @ sk_c6 @ sk_c7) = (sk_c8))
% 16.86/3.06 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_14])).
% 16.86/3.06 thf(zip_derived_cl1204, plain,
% 16.86/3.06 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c3))
% 16.86/3.06 | ((multiply @ sk_c6 @ sk_c7) = (sk_c8))
% 16.86/3.06 | ((multiply @ sk_c6 @ sk_c7) = (sk_c8)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl577, zip_derived_cl28])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl1211, plain,
% 16.86/3.06 ((((identity) = (sk_c3))
% 16.86/3.06 | ((multiply @ sk_c6 @ sk_c7) = (sk_c8))
% 16.86/3.06 | ((multiply @ sk_c6 @ sk_c7) = (sk_c8)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl1204, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl1212, plain,
% 16.86/3.06 ((((multiply @ sk_c6 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c3)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1211])).
% 16.86/3.06 thf(prove_this_19, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 16.86/3.06 thf(zf_stmt_15, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 16.86/3.06 thf(zip_derived_cl21, plain,
% 16.86/3.06 ((((multiply @ sk_c6 @ sk_c7) = (sk_c8))
% 16.86/3.06 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_15])).
% 16.86/3.06 thf(zip_derived_cl1218, plain,
% 16.86/3.06 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 16.86/3.06 | ((multiply @ sk_c6 @ sk_c7) = (sk_c8))
% 16.86/3.06 | ((multiply @ sk_c6 @ sk_c7) = (sk_c8)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1212, zip_derived_cl21])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl1230, plain,
% 16.86/3.06 ((((sk_c9) = (sk_c8))
% 16.86/3.06 | ((multiply @ sk_c6 @ sk_c7) = (sk_c8))
% 16.86/3.06 | ((multiply @ sk_c6 @ sk_c7) = (sk_c8)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl1218, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl1231, plain,
% 16.86/3.06 ((((multiply @ sk_c6 @ sk_c7) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1230])).
% 16.86/3.06 thf(zip_derived_cl1294, plain,
% 16.86/3.06 ((((multiply @ sk_c6 @ (inverse @ sk_c6)) = (sk_c8))
% 16.86/3.06 | ((sk_c9) = (sk_c8))
% 16.86/3.06 | ((sk_c9) = (sk_c8)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl405, zip_derived_cl1231])).
% 16.86/3.06 thf(zip_derived_cl562, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl464, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl1298, plain,
% 16.86/3.06 ((((identity) = (sk_c8)) | ((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl1294, zip_derived_cl562])).
% 16.86/3.06 thf(zip_derived_cl1299, plain,
% 16.86/3.06 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c8)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1298])).
% 16.86/3.06 thf(prove_this_11, conjecture,
% 16.86/3.06 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_16, negated_conjecture,
% 16.86/3.06 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 16.86/3.06 thf(zip_derived_cl13, plain,
% 16.86/3.06 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_16])).
% 16.86/3.06 thf(zip_derived_cl464, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl118])).
% 16.86/3.06 thf(zip_derived_cl571, plain,
% 16.86/3.06 ((((sk_c5) = (inverse @ sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl464])).
% 16.86/3.06 thf(prove_this_10, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_17, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 16.86/3.06 thf(zip_derived_cl12, plain,
% 16.86/3.06 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_17])).
% 16.86/3.06 thf(zip_derived_cl739, plain,
% 16.86/3.06 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl571, zip_derived_cl12])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl745, plain,
% 16.86/3.06 ((((identity) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl739, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl746, plain,
% 16.86/3.06 ((((multiply @ sk_c1 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl745])).
% 16.86/3.06 thf(zip_derived_cl1314, plain,
% 16.86/3.06 ((((multiply @ sk_c1 @ sk_c9) = (sk_c9))
% 16.86/3.06 | ((identity) = (sk_c8))
% 16.86/3.06 | ((identity) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1299, zip_derived_cl746])).
% 16.86/3.06 thf(zip_derived_cl1299, plain,
% 16.86/3.06 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c8)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1298])).
% 16.86/3.06 thf(zip_derived_cl1318, plain,
% 16.86/3.06 ((((sk_c9) != (identity)) | ((identity) = (sk_c8)))),
% 16.86/3.06 inference('eq_fact', [status(thm)], [zip_derived_cl1299])).
% 16.86/3.06 thf(zip_derived_cl1392, plain,
% 16.86/3.06 ((((identity) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c9)))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl1314, zip_derived_cl1318])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl562, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl464, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3330, plain,
% 16.86/3.06 ((((identity) = (sk_c8)) | ((identity) = (inverse @ sk_c1)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl1392, zip_derived_cl3242, zip_derived_cl562,
% 16.86/3.06 zip_derived_cl3242])).
% 16.86/3.06 thf(zip_derived_cl6, plain,
% 16.86/3.06 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_6])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl44, plain,
% 16.86/3.06 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl107, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl129, plain,
% 16.86/3.06 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl107])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl454, plain,
% 16.86/3.06 ((((sk_c5) = (inverse @ sk_c8)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl5, plain,
% 16.86/3.06 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_5])).
% 16.86/3.06 thf(zip_derived_cl541, plain,
% 16.86/3.06 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl454, zip_derived_cl5])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl547, plain,
% 16.86/3.06 ((((identity) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl541, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl548, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl547])).
% 16.86/3.06 thf(zip_derived_cl1318, plain,
% 16.86/3.06 ((((sk_c9) != (identity)) | ((identity) = (sk_c8)))),
% 16.86/3.06 inference('eq_fact', [status(thm)], [zip_derived_cl1299])).
% 16.86/3.06 thf(zip_derived_cl1323, plain,
% 16.86/3.06 ((((inverse @ sk_c1) != (identity))
% 16.86/3.06 | ((identity) = (sk_c9))
% 16.86/3.06 | ((identity) = (sk_c8)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl548, zip_derived_cl1318])).
% 16.86/3.06 thf(zip_derived_cl1318, plain,
% 16.86/3.06 ((((sk_c9) != (identity)) | ((identity) = (sk_c8)))),
% 16.86/3.06 inference('eq_fact', [status(thm)], [zip_derived_cl1299])).
% 16.86/3.06 thf(zip_derived_cl1324, plain,
% 16.86/3.06 ((((identity) = (sk_c8)) | ((inverse @ sk_c1) != (identity)))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl1323, zip_derived_cl1318])).
% 16.86/3.06 thf(zip_derived_cl3422, plain, (((identity) = (sk_c8))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3330, zip_derived_cl1324])).
% 16.86/3.06 thf(zip_derived_cl3436, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.86/3.06 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 16.86/3.06 | ((identity) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (inverse @ sk_c1))
% 16.86/3.06 | ((X2) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X2) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X3) != (inverse @ sk_c1))
% 16.86/3.06 | ((multiply @ X3 @ (inverse @ sk_c1)) != (X4))
% 16.86/3.06 | ((multiply @ (inverse @ sk_c1) @ X4) != (identity))
% 16.86/3.06 | ((X5) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X5) != (inverse @ sk_c1)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl3304, zip_derived_cl3422])).
% 16.86/3.06 thf(zip_derived_cl3437, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.86/3.06 (((inverse @ X5) != (inverse @ sk_c1))
% 16.86/3.06 | ((X5) != (inverse @ sk_c1))
% 16.86/3.06 | ((multiply @ (inverse @ sk_c1) @ X4) != (identity))
% 16.86/3.06 | ((multiply @ X3 @ (inverse @ sk_c1)) != (X4))
% 16.86/3.06 | ((inverse @ X3) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X2) != (inverse @ sk_c1))
% 16.86/3.06 | ((X2) != (inverse @ sk_c1))
% 16.86/3.06 | ((X1) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl3436])).
% 16.86/3.06 thf(zip_derived_cl548, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl547])).
% 16.86/3.06 thf(zip_derived_cl1392, plain,
% 16.86/3.06 ((((identity) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c9)))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl1314, zip_derived_cl1318])).
% 16.86/3.06 thf(zip_derived_cl746, plain,
% 16.86/3.06 ((((multiply @ sk_c1 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl745])).
% 16.86/3.06 thf(zip_derived_cl1408, plain,
% 16.86/3.06 ((((multiply @ sk_c1 @ identity) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c9))
% 16.86/3.06 | ((identity) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1392, zip_derived_cl746])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl1418, plain,
% 16.86/3.06 ((((sk_c1) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c9) = (sk_c9))
% 16.86/3.06 | ((identity) = (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl1408, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl2022, plain,
% 16.86/3.06 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c9))
% 16.86/3.06 | ((identity) = (sk_c9))
% 16.86/3.06 | ((identity) = (sk_c9))
% 16.86/3.06 | ((sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl548, zip_derived_cl1418])).
% 16.86/3.06 thf(zip_derived_cl562, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl464, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl2023, plain,
% 16.86/3.06 ((((identity) = (sk_c9))
% 16.86/3.06 | ((identity) = (sk_c9))
% 16.86/3.06 | ((identity) = (sk_c9))
% 16.86/3.06 | ((sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl2022, zip_derived_cl562])).
% 16.86/3.06 thf(zip_derived_cl2024, plain,
% 16.86/3.06 ((((sk_c1) = (sk_c9)) | ((identity) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl2023])).
% 16.86/3.06 thf(zip_derived_cl548, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl547])).
% 16.86/3.06 thf(zip_derived_cl2045, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c1))
% 16.86/3.06 | ((identity) = (sk_c9))
% 16.86/3.06 | ((identity) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl2024, zip_derived_cl548])).
% 16.86/3.06 thf(zip_derived_cl2062, plain,
% 16.86/3.06 ((((identity) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c1)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl2045])).
% 16.86/3.06 thf(zip_derived_cl1630, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((inverse @ sk_c9) = (sk_c8)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1613])).
% 16.86/3.06 thf(zip_derived_cl1526, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (sk_c8)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl562])).
% 16.86/3.06 thf(zip_derived_cl44, plain,
% 16.86/3.06 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl1532, plain,
% 16.86/3.06 ((((multiply @ identity @ sk_c5) = (identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1526, zip_derived_cl44])).
% 16.86/3.06 thf(zip_derived_cl1553, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((multiply @ identity @ sk_c5) = (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1532])).
% 16.86/3.06 thf(zip_derived_cl0, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_identity])).
% 16.86/3.06 thf(zip_derived_cl1703, plain,
% 16.86/3.06 ((((identity) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1553, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl454, plain,
% 16.86/3.06 ((((sk_c5) = (inverse @ sk_c8)) | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl1719, plain,
% 16.86/3.06 ((((identity) = (inverse @ sk_c8))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1703, zip_derived_cl454])).
% 16.86/3.06 thf(zip_derived_cl1739, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (inverse @ sk_c8)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1719])).
% 16.86/3.06 thf(zip_derived_cl1766, plain,
% 16.86/3.06 ((((identity) = (inverse @ (inverse @ sk_c9)))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl1630, zip_derived_cl1739])).
% 16.86/3.06 thf(zip_derived_cl1771, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((identity) = (inverse @ (inverse @ sk_c9))))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl1766])).
% 16.86/3.06 thf(zip_derived_cl2882, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 (((multiply @ sk_c9 @ X1) != (identity))
% 16.86/3.06 | ((multiply @ X0 @ sk_c9) != (X1))
% 16.86/3.06 | ((inverse @ X0) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl2877])).
% 16.86/3.06 thf(zip_derived_cl2891, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((identity) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((multiply @ (inverse @ sk_c9) @ sk_c9) != (X0))
% 16.86/3.06 | ((multiply @ sk_c9 @ X0) != (identity)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl1771, zip_derived_cl2882])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl2915, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((identity) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((identity) != (X0))
% 16.86/3.06 | ((multiply @ sk_c9 @ X0) != (identity)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl2891, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl2916, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((multiply @ sk_c9 @ X0) != (identity))
% 16.86/3.06 | ((identity) != (X0))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c9))
% 16.86/3.06 | ((identity) != (sk_c9)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl2915])).
% 16.86/3.06 thf(zip_derived_cl2917, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((multiply @ identity @ X0) != (identity))
% 16.86/3.06 | ((identity) != (X0))
% 16.86/3.06 | ((inverse @ sk_c1) = (identity))
% 16.86/3.06 | ((identity) != (sk_c9)))),
% 16.86/3.06 inference('local_rewriting', [status(thm)], [zip_derived_cl2916])).
% 16.86/3.06 thf(zip_derived_cl0, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_identity])).
% 16.86/3.06 thf(zip_derived_cl2942, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((X0) != (identity))
% 16.86/3.06 | ((identity) != (X0))
% 16.86/3.06 | ((inverse @ sk_c1) = (identity))
% 16.86/3.06 | ((identity) != (sk_c9)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl2917, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl2943, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((identity) != (sk_c9))
% 16.86/3.06 | ((inverse @ sk_c1) = (identity))
% 16.86/3.06 | ((X0) != (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl2942])).
% 16.86/3.06 thf(zip_derived_cl2944, plain,
% 16.86/3.06 ((((identity) != (sk_c9)) | ((inverse @ sk_c1) = (identity)))),
% 16.86/3.06 inference('condensation', [status(thm)], [zip_derived_cl2943])).
% 16.86/3.06 thf(zip_derived_cl2947, plain,
% 16.86/3.06 ((((identity) != (identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (sk_c1))
% 16.86/3.06 | ((inverse @ sk_c1) = (identity)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl2062, zip_derived_cl2944])).
% 16.86/3.06 thf(zip_derived_cl2950, plain,
% 16.86/3.06 ((((inverse @ sk_c1) = (identity)) | ((inverse @ sk_c1) = (sk_c1)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl2947])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl2953, plain,
% 16.86/3.06 ((((multiply @ sk_c1 @ sk_c1) = (identity))
% 16.86/3.06 | ((inverse @ sk_c1) = (identity)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl2950, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl420, plain, (((inverse @ identity) = (identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl3437, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.86/3.06 (((inverse @ X5) != (inverse @ sk_c1))
% 16.86/3.06 | ((X5) != (inverse @ sk_c1))
% 16.86/3.06 | ((multiply @ (inverse @ sk_c1) @ X4) != (identity))
% 16.86/3.06 | ((multiply @ X3 @ (inverse @ sk_c1)) != (X4))
% 16.86/3.06 | ((inverse @ X3) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X2) != (inverse @ sk_c1))
% 16.86/3.06 | ((X2) != (inverse @ sk_c1))
% 16.86/3.06 | ((X1) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl3436])).
% 16.86/3.06 thf(zip_derived_cl3459, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((identity) != (identity))
% 16.86/3.06 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 16.86/3.06 | ((identity) != (inverse @ sk_c1))
% 16.86/3.06 | ((X1) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X1) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X2) != (inverse @ sk_c1))
% 16.86/3.06 | ((multiply @ X2 @ (inverse @ sk_c1)) != (X3))
% 16.86/3.06 | ((multiply @ (inverse @ sk_c1) @ X3) != (identity))
% 16.86/3.06 | ((X4) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X4) != (inverse @ sk_c1)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl420, zip_derived_cl3437])).
% 16.86/3.06 thf(zip_derived_cl3463, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((inverse @ X4) != (inverse @ sk_c1))
% 16.86/3.06 | ((X4) != (inverse @ sk_c1))
% 16.86/3.06 | ((multiply @ (inverse @ sk_c1) @ X3) != (identity))
% 16.86/3.06 | ((multiply @ X2 @ (inverse @ sk_c1)) != (X3))
% 16.86/3.06 | ((inverse @ X2) != (inverse @ sk_c1))
% 16.86/3.06 | ((inverse @ X1) != (inverse @ sk_c1))
% 16.86/3.06 | ((X1) != (inverse @ sk_c1))
% 16.86/3.06 | ((identity) != (inverse @ sk_c1))
% 16.86/3.06 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl3459])).
% 16.86/3.06 thf(zip_derived_cl3464, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((inverse @ X4) != (identity))
% 16.86/3.06 | ((X4) != (identity))
% 16.86/3.06 | ((multiply @ identity @ X3) != (identity))
% 16.86/3.06 | ((multiply @ X2 @ identity) != (X3))
% 16.86/3.06 | ((inverse @ X2) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (identity))
% 16.86/3.06 | ((identity) != (inverse @ sk_c1))
% 16.86/3.06 | ((multiply @ X0 @ identity) != (identity)))),
% 16.86/3.06 inference('local_rewriting', [status(thm)], [zip_derived_cl3463])).
% 16.86/3.06 thf(zip_derived_cl0, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_identity])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl3468, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((inverse @ X4) != (identity))
% 16.86/3.06 | ((X4) != (identity))
% 16.86/3.06 | ((X3) != (identity))
% 16.86/3.06 | ((X2) != (X3))
% 16.86/3.06 | ((inverse @ X2) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (identity))
% 16.86/3.06 | ((identity) != (inverse @ sk_c1))
% 16.86/3.06 | ((X0) != (identity)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl3464, zip_derived_cl0, zip_derived_cl435,
% 16.86/3.06 zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3471, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.86/3.06 (((X0) != (identity))
% 16.86/3.06 | ((identity) != (inverse @ sk_c1))
% 16.86/3.06 | ((X1) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((inverse @ X2) != (identity))
% 16.86/3.06 | ((X2) != (identity))
% 16.86/3.06 | ((X3) != (identity))
% 16.86/3.06 | ((inverse @ X3) != (identity)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl3468])).
% 16.86/3.06 thf(zip_derived_cl3530, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.86/3.06 (((identity) != (identity))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c1) = (identity))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((X0) != (identity))
% 16.86/3.06 | ((X1) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((inverse @ X2) != (identity))
% 16.86/3.06 | ((X2) != (identity))
% 16.86/3.06 | ((X3) != (identity)))),
% 16.86/3.06 inference('sup-', [status(thm)], [zip_derived_cl2953, zip_derived_cl3471])).
% 16.86/3.06 thf(zip_derived_cl3532, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.86/3.06 (((X3) != (identity))
% 16.86/3.06 | ((X2) != (identity))
% 16.86/3.06 | ((inverse @ X2) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (identity))
% 16.86/3.06 | ((X0) != (identity))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c1) = (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl3530])).
% 16.86/3.06 thf(zip_derived_cl3838, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.86/3.06 (((multiply @ sk_c1 @ sk_c1) = (identity))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((X0) != (identity))
% 16.86/3.06 | ((X1) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((inverse @ X2) != (identity))
% 16.86/3.06 | ((X2) != (identity)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl3532])).
% 16.86/3.06 thf(zip_derived_cl3839, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 (((X0) != (identity))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (identity))
% 16.86/3.06 | ((inverse @ identity) != (identity))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c1) = (identity)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl3838])).
% 16.86/3.06 thf(zip_derived_cl420, plain, (((inverse @ identity) = (identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl3840, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 (((X0) != (identity))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (identity))
% 16.86/3.06 | ((identity) != (identity))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c1) = (identity)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl3839, zip_derived_cl420])).
% 16.86/3.06 thf(zip_derived_cl3841, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 (((multiply @ sk_c1 @ sk_c1) = (identity))
% 16.86/3.06 | ((X1) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((X0) != (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl3840])).
% 16.86/3.06 thf(zip_derived_cl3842, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((X0) != (identity))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((inverse @ identity) != (identity))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c1) = (identity)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl3841])).
% 16.86/3.06 thf(zip_derived_cl420, plain, (((inverse @ identity) = (identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl3843, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((X0) != (identity))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((identity) != (identity))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c1) = (identity)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl3842, zip_derived_cl420])).
% 16.86/3.06 thf(zip_derived_cl3844, plain,
% 16.86/3.06 (![X0 : $i]:
% 16.86/3.06 (((multiply @ sk_c1 @ sk_c1) = (identity))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((X0) != (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl3843])).
% 16.86/3.06 thf(zip_derived_cl3845, plain,
% 16.86/3.06 ((((inverse @ identity) != (identity))
% 16.86/3.06 | ((multiply @ sk_c1 @ sk_c1) = (identity)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl3844])).
% 16.86/3.06 thf(zip_derived_cl420, plain, (((inverse @ identity) = (identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl3846, plain,
% 16.86/3.06 ((((identity) != (identity)) | ((multiply @ sk_c1 @ sk_c1) = (identity)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl3845, zip_derived_cl420])).
% 16.86/3.06 thf(zip_derived_cl3847, plain, (((multiply @ sk_c1 @ sk_c1) = (identity))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl3846])).
% 16.86/3.06 thf(zip_derived_cl107, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl3853, plain,
% 16.86/3.06 (((sk_c1) = (multiply @ (inverse @ sk_c1) @ identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3847, zip_derived_cl107])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3878, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 16.86/3.06 (((inverse @ X5) != (sk_c1))
% 16.86/3.06 | ((X5) != (sk_c1))
% 16.86/3.06 | ((multiply @ sk_c1 @ X4) != (identity))
% 16.86/3.06 | ((multiply @ X3 @ sk_c1) != (X4))
% 16.86/3.06 | ((inverse @ X3) != (sk_c1))
% 16.86/3.06 | ((inverse @ X2) != (sk_c1))
% 16.86/3.06 | ((X2) != (sk_c1))
% 16.86/3.06 | ((X1) != (sk_c1))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((multiply @ X0 @ sk_c1) != (identity)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl3437, zip_derived_cl3862, zip_derived_cl3862,
% 16.86/3.06 zip_derived_cl3862, zip_derived_cl3862, zip_derived_cl3862,
% 16.86/3.06 zip_derived_cl3862, zip_derived_cl3862, zip_derived_cl3862,
% 16.86/3.06 zip_derived_cl3862])).
% 16.86/3.06 thf(zip_derived_cl4041, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((multiply @ X0 @ sk_c1) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (sk_c1))
% 16.86/3.06 | ((X2) != (sk_c1))
% 16.86/3.06 | ((inverse @ X2) != (sk_c1))
% 16.86/3.06 | ((inverse @ X3) != (sk_c1))
% 16.86/3.06 | ((multiply @ X3 @ sk_c1) != (X4))
% 16.86/3.06 | ((multiply @ sk_c1 @ X4) != (identity))
% 16.86/3.06 | ((inverse @ sk_c1) != (sk_c1)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl3878])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl4042, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((multiply @ X0 @ sk_c1) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (sk_c1))
% 16.86/3.06 | ((X2) != (sk_c1))
% 16.86/3.06 | ((inverse @ X2) != (sk_c1))
% 16.86/3.06 | ((inverse @ X3) != (sk_c1))
% 16.86/3.06 | ((multiply @ X3 @ sk_c1) != (X4))
% 16.86/3.06 | ((multiply @ sk_c1 @ X4) != (identity))
% 16.86/3.06 | ((sk_c1) != (sk_c1)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl4041, zip_derived_cl3862])).
% 16.86/3.06 thf(zip_derived_cl4043, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 16.86/3.06 (((multiply @ sk_c1 @ X4) != (identity))
% 16.86/3.06 | ((multiply @ X3 @ sk_c1) != (X4))
% 16.86/3.06 | ((inverse @ X3) != (sk_c1))
% 16.86/3.06 | ((inverse @ X2) != (sk_c1))
% 16.86/3.06 | ((X2) != (sk_c1))
% 16.86/3.06 | ((X1) != (sk_c1))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((multiply @ X0 @ sk_c1) != (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl4042])).
% 16.86/3.06 thf(zip_derived_cl4044, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.86/3.06 (((multiply @ X0 @ sk_c1) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (sk_c1))
% 16.86/3.06 | ((inverse @ sk_c1) != (sk_c1))
% 16.86/3.06 | ((inverse @ X2) != (sk_c1))
% 16.86/3.06 | ((multiply @ X2 @ sk_c1) != (X3))
% 16.86/3.06 | ((multiply @ sk_c1 @ X3) != (identity)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl4043])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl4045, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.86/3.06 (((multiply @ X0 @ sk_c1) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (sk_c1))
% 16.86/3.06 | ((sk_c1) != (sk_c1))
% 16.86/3.06 | ((inverse @ X2) != (sk_c1))
% 16.86/3.06 | ((multiply @ X2 @ sk_c1) != (X3))
% 16.86/3.06 | ((multiply @ sk_c1 @ X3) != (identity)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl4044, zip_derived_cl3862])).
% 16.86/3.06 thf(zip_derived_cl4046, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 16.86/3.06 (((multiply @ sk_c1 @ X3) != (identity))
% 16.86/3.06 | ((multiply @ X2 @ sk_c1) != (X3))
% 16.86/3.06 | ((inverse @ X2) != (sk_c1))
% 16.86/3.06 | ((X1) != (sk_c1))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((multiply @ X0 @ sk_c1) != (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl4045])).
% 16.86/3.06 thf(zip_derived_cl4047, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.86/3.06 (((multiply @ X0 @ sk_c1) != (identity))
% 16.86/3.06 | ((inverse @ sk_c1) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (sk_c1))
% 16.86/3.06 | ((multiply @ X1 @ sk_c1) != (X2))
% 16.86/3.06 | ((multiply @ sk_c1 @ X2) != (identity)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl4046])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl4048, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.86/3.06 (((multiply @ X0 @ sk_c1) != (identity))
% 16.86/3.06 | ((sk_c1) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (sk_c1))
% 16.86/3.06 | ((multiply @ X1 @ sk_c1) != (X2))
% 16.86/3.06 | ((multiply @ sk_c1 @ X2) != (identity)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl4047, zip_derived_cl3862])).
% 16.86/3.06 thf(zip_derived_cl4049, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.86/3.06 (((multiply @ X0 @ identity) != (identity))
% 16.86/3.06 | ((sk_c1) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((multiply @ X1 @ identity) != (X2))
% 16.86/3.06 | ((multiply @ identity @ X2) != (identity)))),
% 16.86/3.06 inference('local_rewriting', [status(thm)], [zip_derived_cl4048])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl0, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_identity])).
% 16.86/3.06 thf(zip_derived_cl4050, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.86/3.06 (((X0) != (identity))
% 16.86/3.06 | ((sk_c1) != (identity))
% 16.86/3.06 | ((inverse @ X1) != (identity))
% 16.86/3.06 | ((X1) != (X2))
% 16.86/3.06 | ((X2) != (identity)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl4049, zip_derived_cl435, zip_derived_cl435,
% 16.86/3.06 zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl4051, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 (((X0) != (identity))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((sk_c1) != (identity))
% 16.86/3.06 | ((X1) != (identity)))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl4050])).
% 16.86/3.06 thf(prove_this_31, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_18, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 16.86/3.06 thf(zip_derived_cl33, plain,
% 16.86/3.06 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_18])).
% 16.86/3.06 thf(zip_derived_cl464, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl118])).
% 16.86/3.06 thf(zip_derived_cl575, plain,
% 16.86/3.06 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl464])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl464, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl118])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3300, plain,
% 16.86/3.06 ((((sk_c2) = (sk_c1)) | ((multiply @ sk_c5 @ sk_c8) = (inverse @ sk_c1)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl575, zip_derived_cl3242, zip_derived_cl464,
% 16.86/3.06 zip_derived_cl3242])).
% 16.86/3.06 thf(zip_derived_cl3422, plain, (((identity) = (sk_c8))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3330, zip_derived_cl1324])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl3664, plain,
% 16.86/3.06 ((((sk_c2) = (sk_c1)) | ((sk_c5) = (inverse @ sk_c1)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl3300, zip_derived_cl3422, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3895, plain, ((((sk_c2) = (sk_c1)) | ((sk_c5) = (sk_c1)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl3664, zip_derived_cl3862])).
% 16.86/3.06 thf(prove_this_24, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 16.86/3.06 thf(zf_stmt_19, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 16.86/3.06 thf(zip_derived_cl26, plain,
% 16.86/3.06 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_19])).
% 16.86/3.06 thf(zip_derived_cl3422, plain, (((identity) = (sk_c8))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3330, zip_derived_cl1324])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3869, plain, (((sk_c1) = (sk_c9))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl3242, zip_derived_cl3862])).
% 16.86/3.06 thf(zip_derived_cl3869, plain, (((sk_c1) = (sk_c9))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl3242, zip_derived_cl3862])).
% 16.86/3.06 thf(zip_derived_cl4560, plain,
% 16.86/3.06 ((((sk_c5) = (sk_c1)) | ((multiply @ sk_c2 @ sk_c1) = (sk_c3)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl26, zip_derived_cl3422, zip_derived_cl435,
% 16.86/3.06 zip_derived_cl3869, zip_derived_cl3869])).
% 16.86/3.06 thf(zip_derived_cl4571, plain,
% 16.86/3.06 ((((multiply @ sk_c1 @ sk_c1) = (sk_c3))
% 16.86/3.06 | ((sk_c5) = (sk_c1))
% 16.86/3.06 | ((sk_c5) = (sk_c1)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3895, zip_derived_cl4560])).
% 16.86/3.06 thf(zip_derived_cl3847, plain, (((multiply @ sk_c1 @ sk_c1) = (identity))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl3846])).
% 16.86/3.06 thf(zip_derived_cl4578, plain,
% 16.86/3.06 ((((identity) = (sk_c3)) | ((sk_c5) = (sk_c1)) | ((sk_c5) = (sk_c1)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl4571, zip_derived_cl3847])).
% 16.86/3.06 thf(zip_derived_cl4579, plain,
% 16.86/3.06 ((((sk_c5) = (sk_c1)) | ((identity) = (sk_c3)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl4578])).
% 16.86/3.06 thf(prove_this_17, conjecture,
% 16.86/3.06 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 16.86/3.06 thf(zf_stmt_20, negated_conjecture,
% 16.86/3.06 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 16.86/3.06 thf(zip_derived_cl19, plain,
% 16.86/3.06 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 16.86/3.06 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_20])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl3252, plain,
% 16.86/3.06 ((((multiply @ sk_c5 @ sk_c8) = (inverse @ sk_c1))
% 16.86/3.06 | ((multiply @ (inverse @ sk_c1) @ sk_c3) = (sk_c8)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl19, zip_derived_cl3242, zip_derived_cl3242])).
% 16.86/3.06 thf(zip_derived_cl3422, plain, (((identity) = (sk_c8))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3330, zip_derived_cl1324])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3862, plain, (((sk_c1) = (inverse @ sk_c1))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3853, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl3422, plain, (((identity) = (sk_c8))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3330, zip_derived_cl1324])).
% 16.86/3.06 thf(zip_derived_cl39984, plain,
% 16.86/3.06 ((((sk_c5) = (sk_c1)) | ((multiply @ sk_c1 @ sk_c3) = (identity)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl3252, zip_derived_cl3422, zip_derived_cl435,
% 16.86/3.06 zip_derived_cl3862, zip_derived_cl3862, zip_derived_cl3422])).
% 16.86/3.06 thf(zip_derived_cl40019, plain,
% 16.86/3.06 ((((multiply @ sk_c1 @ identity) = (identity))
% 16.86/3.06 | ((sk_c5) = (sk_c1))
% 16.86/3.06 | ((sk_c5) = (sk_c1)))),
% 16.86/3.06 inference('sup+', [status(thm)],
% 16.86/3.06 [zip_derived_cl4579, zip_derived_cl39984])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl40041, plain,
% 16.86/3.06 ((((sk_c1) = (identity)) | ((sk_c5) = (sk_c1)) | ((sk_c5) = (sk_c1)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl40019, zip_derived_cl435])).
% 16.86/3.06 thf(zip_derived_cl40042, plain,
% 16.86/3.06 ((((sk_c5) = (sk_c1)) | ((sk_c1) = (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl40041])).
% 16.86/3.06 thf(prove_this_18, conjecture,
% 16.86/3.06 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 16.86/3.06 thf(zf_stmt_21, negated_conjecture,
% 16.86/3.06 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 16.86/3.06 thf(zip_derived_cl20, plain,
% 16.86/3.06 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_21])).
% 16.86/3.06 thf(zip_derived_cl107, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl123, plain,
% 16.86/3.06 ((((sk_c3) = (multiply @ (inverse @ sk_c9) @ sk_c8))
% 16.86/3.06 | ((inverse @ sk_c5) = (sk_c8)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl107])).
% 16.86/3.06 thf(zip_derived_cl3242, plain, (((inverse @ sk_c1) = (sk_c9))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3175, zip_derived_cl1699])).
% 16.86/3.06 thf(zip_derived_cl464, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl118])).
% 16.86/3.06 thf(zip_derived_cl3276, plain,
% 16.86/3.06 ((((sk_c3) = (multiply @ sk_c1 @ sk_c8)) | ((inverse @ sk_c5) = (sk_c8)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl123, zip_derived_cl3242, zip_derived_cl464])).
% 16.86/3.06 thf(zip_derived_cl3422, plain, (((identity) = (sk_c8))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3330, zip_derived_cl1324])).
% 16.86/3.06 thf(zip_derived_cl435, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 16.86/3.06 thf(zip_derived_cl3422, plain, (((identity) = (sk_c8))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3330, zip_derived_cl1324])).
% 16.86/3.06 thf(zip_derived_cl3425, plain,
% 16.86/3.06 ((((sk_c3) = (sk_c1)) | ((inverse @ sk_c5) = (identity)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl3276, zip_derived_cl3422, zip_derived_cl435,
% 16.86/3.06 zip_derived_cl3422])).
% 16.86/3.06 thf(prove_this_32, conjecture,
% 16.86/3.06 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 16.86/3.06 thf(zf_stmt_22, negated_conjecture,
% 16.86/3.06 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 16.86/3.06 thf(zip_derived_cl34, plain,
% 16.86/3.06 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c9)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_22])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl56, plain,
% 16.86/3.06 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 16.86/3.06 | ((inverse @ sk_c5) = (sk_c8)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl107, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl0])).
% 16.86/3.06 thf(zip_derived_cl127, plain,
% 16.86/3.06 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 16.86/3.06 | ((inverse @ sk_c5) = (sk_c8)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl107])).
% 16.86/3.06 thf(prove_this_25, conjecture,
% 16.86/3.06 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 16.86/3.06 thf(zf_stmt_23, negated_conjecture,
% 16.86/3.06 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 16.86/3.06 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 16.86/3.06 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 16.86/3.06 thf(zip_derived_cl27, plain,
% 16.86/3.06 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 16.86/3.06 inference('cnf', [status(esa)], [zf_stmt_23])).
% 16.86/3.06 thf(zip_derived_cl193, plain,
% 16.86/3.06 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 16.86/3.06 = (sk_c3))
% 16.86/3.06 | ((inverse @ sk_c5) = (sk_c8))
% 16.86/3.06 | ((inverse @ sk_c5) = (sk_c8)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl27])).
% 16.86/3.06 thf(zip_derived_cl2, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 16.86/3.06 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 16.86/3.06 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 16.86/3.06 inference('cnf', [status(esa)], [associativity])).
% 16.86/3.06 thf(zip_derived_cl0, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_identity])).
% 16.86/3.06 thf(zip_derived_cl1, plain,
% 16.86/3.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 16.86/3.06 inference('cnf', [status(esa)], [left_inverse])).
% 16.86/3.06 thf(zip_derived_cl206, plain,
% 16.86/3.06 ((((identity) = (sk_c3))
% 16.86/3.06 | ((inverse @ sk_c5) = (sk_c8))
% 16.86/3.06 | ((inverse @ sk_c5) = (sk_c8)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl193, zip_derived_cl2, zip_derived_cl0,
% 16.86/3.06 zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl207, plain,
% 16.86/3.06 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c3)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl206])).
% 16.86/3.06 thf(zip_derived_cl3422, plain, (((identity) = (sk_c8))),
% 16.86/3.06 inference('clc', [status(thm)], [zip_derived_cl3330, zip_derived_cl1324])).
% 16.86/3.06 thf(zip_derived_cl3423, plain,
% 16.86/3.06 ((((inverse @ sk_c5) = (identity)) | ((identity) = (sk_c3)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl207, zip_derived_cl3422])).
% 16.86/3.06 thf(zip_derived_cl3509, plain,
% 16.86/3.06 ((((identity) = (sk_c1))
% 16.86/3.06 | ((inverse @ sk_c5) = (identity))
% 16.86/3.06 | ((inverse @ sk_c5) = (identity)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3425, zip_derived_cl3423])).
% 16.86/3.06 thf(zip_derived_cl3511, plain,
% 16.86/3.06 ((((inverse @ sk_c5) = (identity)) | ((identity) = (sk_c1)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl3509])).
% 16.86/3.06 thf(zip_derived_cl464, plain,
% 16.86/3.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl118])).
% 16.86/3.06 thf(zip_derived_cl3513, plain,
% 16.86/3.06 ((((sk_c5) = (inverse @ identity)) | ((identity) = (sk_c1)))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl3511, zip_derived_cl464])).
% 16.86/3.06 thf(zip_derived_cl420, plain, (((inverse @ identity) = (identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl3518, plain,
% 16.86/3.06 ((((sk_c5) = (identity)) | ((identity) = (sk_c1)))),
% 16.86/3.06 inference('demod', [status(thm)], [zip_derived_cl3513, zip_derived_cl420])).
% 16.86/3.06 thf(zip_derived_cl40066, plain,
% 16.86/3.06 ((((sk_c1) = (identity))
% 16.86/3.06 | ((sk_c1) = (identity))
% 16.86/3.06 | ((identity) = (sk_c1)))),
% 16.86/3.06 inference('sup+', [status(thm)],
% 16.86/3.06 [zip_derived_cl40042, zip_derived_cl3518])).
% 16.86/3.06 thf(zip_derived_cl40110, plain, (((sk_c1) = (identity))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl40066])).
% 16.86/3.06 thf(zip_derived_cl40195, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 (((X0) != (identity))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((identity) != (identity))
% 16.86/3.06 | ((X1) != (identity)))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl4051, zip_derived_cl40110])).
% 16.86/3.06 thf(zip_derived_cl40196, plain,
% 16.86/3.06 (![X0 : $i, X1 : $i]:
% 16.86/3.06 (((X1) != (identity))
% 16.86/3.06 | ((inverse @ X0) != (identity))
% 16.86/3.06 | ((X0) != (identity)))),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl40195])).
% 16.86/3.06 thf(zip_derived_cl40411, plain,
% 16.86/3.06 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 16.86/3.06 inference('condensation', [status(thm)], [zip_derived_cl40196])).
% 16.86/3.06 thf(zip_derived_cl40412, plain, (((inverse @ identity) != (identity))),
% 16.86/3.06 inference('eq_res', [status(thm)], [zip_derived_cl40411])).
% 16.86/3.06 thf(zip_derived_cl420, plain, (((inverse @ identity) = (identity))),
% 16.86/3.06 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl1])).
% 16.86/3.06 thf(zip_derived_cl40413, plain, (((identity) != (identity))),
% 16.86/3.06 inference('demod', [status(thm)],
% 16.86/3.06 [zip_derived_cl40412, zip_derived_cl420])).
% 16.86/3.06 thf(zip_derived_cl40414, plain, ($false),
% 16.86/3.06 inference('simplify', [status(thm)], [zip_derived_cl40413])).
% 16.86/3.06
% 16.86/3.06 % SZS output end Refutation
% 16.86/3.06
% 16.86/3.06
% 16.86/3.06 % Terminating...
% 17.59/3.14 % Runner terminated.
% 17.59/3.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------