TSTP Solution File: GRP386-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP386-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EaUWs99V4R true
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:27 EDT 2023
% Result : Unsatisfiable 35.03s 5.64s
% Output : Refutation 35.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP386-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EaUWs99V4R true
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 23:44:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.43/0.62 % Total configuration time : 435
% 0.43/0.62 % Estimated wc time : 1092
% 0.43/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 35.03/5.64 % Solved by fo/fo7.sh.
% 35.03/5.64 % done 8209 iterations in 4.881s
% 35.03/5.64 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 35.03/5.64 % SZS output start Refutation
% 35.03/5.64 thf(sk_c7_type, type, sk_c7: $i).
% 35.03/5.64 thf(sk_c2_type, type, sk_c2: $i).
% 35.03/5.64 thf(sk_c5_type, type, sk_c5: $i).
% 35.03/5.64 thf(sk_c4_type, type, sk_c4: $i).
% 35.03/5.64 thf(sk_c8_type, type, sk_c8: $i).
% 35.03/5.64 thf(identity_type, type, identity: $i).
% 35.03/5.64 thf(multiply_type, type, multiply: $i > $i > $i).
% 35.03/5.64 thf(sk_c9_type, type, sk_c9: $i).
% 35.03/5.64 thf(inverse_type, type, inverse: $i > $i).
% 35.03/5.64 thf(sk_c3_type, type, sk_c3: $i).
% 35.03/5.64 thf(sk_c1_type, type, sk_c1: $i).
% 35.03/5.64 thf(sk_c6_type, type, sk_c6: $i).
% 35.03/5.64 thf(sk_c10_type, type, sk_c10: $i).
% 35.03/5.64 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 35.03/5.64 thf(zip_derived_cl0, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_identity])).
% 35.03/5.64 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(associativity, axiom,
% 35.03/5.64 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 35.03/5.64 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 35.03/5.64 thf(zip_derived_cl2, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.03/5.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 35.03/5.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 35.03/5.64 inference('cnf', [status(esa)], [associativity])).
% 35.03/5.64 thf(zip_derived_cl139, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((multiply @ identity @ X0)
% 35.03/5.64 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 35.03/5.64 thf(zip_derived_cl0, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_identity])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl182, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl230, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(prove_this_51, conjecture,
% 35.03/5.64 (~( ( ( multiply @ X6 @ X5 ) != ( X7 ) ) |
% 35.03/5.64 ( ( inverse @ X7 ) != ( X5 ) ) | ( ( inverse @ X6 ) != ( X7 ) ) |
% 35.03/5.64 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ X4 ) != ( X5 ) ) |
% 35.03/5.64 ( ( multiply @ X4 @ X5 ) != ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 35.03/5.64 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c8 ) ) |
% 35.03/5.64 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 35.03/5.64 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 35.03/5.64 ( ( multiply @ X2 @ sk_c9 ) != ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c10 @ sk_c8 ) != ( sk_c9 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c10 ) != ( sk_c9 ) ) ))).
% 35.03/5.64 thf(zf_stmt_0, negated_conjecture,
% 35.03/5.64 (( ( multiply @ X6 @ X5 ) != ( X7 ) ) | ( ( inverse @ X7 ) != ( X5 ) ) |
% 35.03/5.64 ( ( inverse @ X6 ) != ( X7 ) ) |
% 35.03/5.64 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ X4 ) != ( X5 ) ) |
% 35.03/5.64 ( ( multiply @ X4 @ X5 ) != ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 35.03/5.64 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c8 ) ) |
% 35.03/5.64 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 35.03/5.64 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 35.03/5.64 ( ( multiply @ X2 @ sk_c9 ) != ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c10 @ sk_c8 ) != ( sk_c9 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c10 ) != ( sk_c9 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_51])).
% 35.03/5.64 thf(zip_derived_cl53, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.03/5.64 (((multiply @ X1 @ X2) != (X0))
% 35.03/5.64 | ((inverse @ X0) != (X2))
% 35.03/5.64 | ((inverse @ X1) != (X0))
% 35.03/5.64 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 35.03/5.64 | ((inverse @ X3) != (X2))
% 35.03/5.64 | ((multiply @ X3 @ X2) != (sk_c10))
% 35.03/5.64 | ((inverse @ X4) != (sk_c9))
% 35.03/5.64 | ((multiply @ X4 @ sk_c9) != (sk_c8))
% 35.03/5.64 | ((inverse @ X5) != (sk_c10))
% 35.03/5.64 | ((multiply @ X5 @ sk_c10) != (sk_c9))
% 35.03/5.64 | ((multiply @ X6 @ sk_c9) != (sk_c10))
% 35.03/5.64 | ((inverse @ X6) != (sk_c10))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) != (sk_c9))
% 35.03/5.64 | ((multiply @ sk_c9 @ sk_c8) != (sk_c10))
% 35.03/5.64 | ((inverse @ sk_c10) != (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_0])).
% 35.03/5.64 thf(zip_derived_cl54, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.03/5.64 (((multiply @ X1 @ X2) != (X0))
% 35.03/5.64 | ((inverse @ X0) != (X2))
% 35.03/5.64 | ((inverse @ X1) != (X0))
% 35.03/5.64 | ((multiply @ X2 @ (inverse @ sk_c10)) != (sk_c10))
% 35.03/5.64 | ((inverse @ X3) != (X2))
% 35.03/5.64 | ((multiply @ X3 @ X2) != (sk_c10))
% 35.03/5.64 | ((inverse @ X4) != (inverse @ sk_c10))
% 35.03/5.64 | ((multiply @ X4 @ (inverse @ sk_c10)) != (sk_c8))
% 35.03/5.64 | ((inverse @ X5) != (sk_c10))
% 35.03/5.64 | ((multiply @ X5 @ sk_c10) != (inverse @ sk_c10))
% 35.03/5.64 | ((multiply @ X6 @ (inverse @ sk_c10)) != (sk_c10))
% 35.03/5.64 | ((inverse @ X6) != (sk_c10))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) != (inverse @ sk_c10))
% 35.03/5.64 | ((multiply @ (inverse @ sk_c10) @ sk_c8) != (sk_c10))
% 35.03/5.64 | ((inverse @ sk_c10) != (sk_c9)))),
% 35.03/5.64 inference('local_rewriting', [status(thm)], [zip_derived_cl53])).
% 35.03/5.64 thf(prove_this_36, conjecture,
% 35.03/5.64 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 35.03/5.64 thf(zf_stmt_1, negated_conjecture,
% 35.03/5.64 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 35.03/5.64 thf(zip_derived_cl38, plain,
% 35.03/5.64 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c10)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_1])).
% 35.03/5.64 thf(prove_this_46, conjecture,
% 35.03/5.64 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 35.03/5.64 thf(zf_stmt_2, negated_conjecture,
% 35.03/5.64 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_46])).
% 35.03/5.64 thf(zip_derived_cl48, plain,
% 35.03/5.64 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_2])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl207, plain,
% 35.03/5.64 ((((sk_c9) = (multiply @ (inverse @ sk_c1) @ sk_c10))
% 35.03/5.64 | ((inverse @ sk_c4) = (sk_c7)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl826, plain,
% 35.03/5.64 ((((sk_c9) = (multiply @ sk_c10 @ sk_c10))
% 35.03/5.64 | ((inverse @ sk_c4) = (sk_c7))
% 35.03/5.64 | ((inverse @ sk_c4) = (sk_c7)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl207])).
% 35.03/5.64 thf(zip_derived_cl838, plain,
% 35.03/5.64 ((((inverse @ sk_c4) = (sk_c7))
% 35.03/5.64 | ((sk_c9) = (multiply @ sk_c10 @ sk_c10)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl826])).
% 35.03/5.64 thf(prove_this_35, conjecture,
% 35.03/5.64 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 35.03/5.64 thf(zf_stmt_3, negated_conjecture,
% 35.03/5.64 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_35])).
% 35.03/5.64 thf(zip_derived_cl37, plain,
% 35.03/5.64 ((((multiply @ sk_c4 @ sk_c7) = (sk_c10))
% 35.03/5.64 | ((inverse @ sk_c1) = (sk_c10)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_3])).
% 35.03/5.64 thf(prove_this_45, conjecture,
% 35.03/5.64 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 35.03/5.64 thf(zf_stmt_4, negated_conjecture,
% 35.03/5.64 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_45])).
% 35.03/5.64 thf(zip_derived_cl47, plain,
% 35.03/5.64 ((((multiply @ sk_c4 @ sk_c7) = (sk_c10))
% 35.03/5.64 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_4])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl525, plain,
% 35.03/5.64 ((((sk_c9) = (multiply @ (inverse @ sk_c1) @ sk_c10))
% 35.03/5.64 | ((multiply @ sk_c4 @ sk_c7) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl9177, plain,
% 35.03/5.64 ((((sk_c9) = (multiply @ sk_c10 @ sk_c10))
% 35.03/5.64 | ((multiply @ sk_c4 @ sk_c7) = (sk_c10))
% 35.03/5.64 | ((multiply @ sk_c4 @ sk_c7) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl525])).
% 35.03/5.64 thf(zip_derived_cl9193, plain,
% 35.03/5.64 ((((multiply @ sk_c4 @ sk_c7) = (sk_c10))
% 35.03/5.64 | ((sk_c9) = (multiply @ sk_c10 @ sk_c10)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9177])).
% 35.03/5.64 thf(zip_derived_cl9220, plain,
% 35.03/5.64 ((((multiply @ sk_c4 @ (inverse @ sk_c4)) = (sk_c10))
% 35.03/5.64 | ((sk_c9) = (multiply @ sk_c10 @ sk_c10))
% 35.03/5.64 | ((sk_c9) = (multiply @ sk_c10 @ sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl838, zip_derived_cl9193])).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl183, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl180, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl183, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl1144, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1096, zip_derived_cl183])).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(zip_derived_cl1165, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1144, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl9234, plain,
% 35.03/5.64 ((((identity) = (sk_c10))
% 35.03/5.64 | ((sk_c9) = (multiply @ sk_c10 @ sk_c10))
% 35.03/5.64 | ((sk_c9) = (multiply @ sk_c10 @ sk_c10)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl9220, zip_derived_cl1165])).
% 35.03/5.64 thf(zip_derived_cl9235, plain,
% 35.03/5.64 ((((sk_c9) = (multiply @ sk_c10 @ sk_c10)) | ((identity) = (sk_c10)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9234])).
% 35.03/5.64 thf(prove_this_26, conjecture,
% 35.03/5.64 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 35.03/5.64 thf(zf_stmt_5, negated_conjecture,
% 35.03/5.64 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 35.03/5.64 thf(zip_derived_cl28, plain,
% 35.03/5.64 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_5])).
% 35.03/5.64 thf(prove_this_29, conjecture,
% 35.03/5.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 35.03/5.64 thf(zf_stmt_6, negated_conjecture,
% 35.03/5.64 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 35.03/5.64 thf(zip_derived_cl31, plain,
% 35.03/5.64 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_6])).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(zip_derived_cl96, plain,
% 35.03/5.64 ((((multiply @ sk_c7 @ sk_c5) = (identity))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl2324, plain,
% 35.03/5.64 ((((multiply @ (inverse @ sk_c4) @ sk_c5) = (identity))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl96])).
% 35.03/5.64 thf(zip_derived_cl2333, plain,
% 35.03/5.64 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 35.03/5.64 | ((multiply @ (inverse @ sk_c4) @ sk_c5) = (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl2324])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl4904, plain,
% 35.03/5.64 ((((sk_c5) = (multiply @ (inverse @ (inverse @ sk_c4)) @ identity))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl2333, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl1144, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1096, zip_derived_cl183])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl4928, plain,
% 35.03/5.64 ((((sk_c5) = (sk_c4)) | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl4904, zip_derived_cl1144, zip_derived_cl1096])).
% 35.03/5.64 thf(zip_derived_cl31, plain,
% 35.03/5.64 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_6])).
% 35.03/5.64 thf(zip_derived_cl1165, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1144, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl1686, plain,
% 35.03/5.64 ((((multiply @ sk_c5 @ sk_c7) = (identity))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1165])).
% 35.03/5.64 thf(zip_derived_cl4954, plain,
% 35.03/5.64 ((((multiply @ sk_c4 @ sk_c7) = (identity))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl4928, zip_derived_cl1686])).
% 35.03/5.64 thf(zip_derived_cl4968, plain,
% 35.03/5.64 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 35.03/5.64 | ((multiply @ sk_c4 @ sk_c7) = (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl4954])).
% 35.03/5.64 thf(prove_this_25, conjecture,
% 35.03/5.64 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 35.03/5.64 thf(zf_stmt_7, negated_conjecture,
% 35.03/5.64 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 35.03/5.64 thf(zip_derived_cl27, plain,
% 35.03/5.64 ((((multiply @ sk_c4 @ sk_c7) = (sk_c10))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_7])).
% 35.03/5.64 thf(zip_derived_cl6583, plain,
% 35.03/5.64 ((((identity) = (sk_c10))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl4968, zip_derived_cl27])).
% 35.03/5.64 thf(zip_derived_cl6599, plain,
% 35.03/5.64 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c10)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl6583])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl6601, plain,
% 35.03/5.64 ((((sk_c8) = (multiply @ (inverse @ sk_c10) @ sk_c9))
% 35.03/5.64 | ((identity) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl6599, zip_derived_cl167])).
% 35.03/5.64 thf(prove_this_8, conjecture,
% 35.03/5.64 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 35.03/5.64 thf(zf_stmt_8, negated_conjecture,
% 35.03/5.64 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 35.03/5.64 thf(zip_derived_cl10, plain,
% 35.03/5.64 ((((inverse @ sk_c6) = (sk_c5)) | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_8])).
% 35.03/5.64 thf(prove_this_9, conjecture,
% 35.03/5.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 35.03/5.64 thf(zf_stmt_9, negated_conjecture,
% 35.03/5.64 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 35.03/5.64 thf(zip_derived_cl11, plain,
% 35.03/5.64 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_9])).
% 35.03/5.64 thf(zip_derived_cl58, plain,
% 35.03/5.64 ((((inverse @ (inverse @ sk_c6)) = (sk_c7))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl11])).
% 35.03/5.64 thf(zip_derived_cl59, plain,
% 35.03/5.64 ((((inverse @ sk_c10) = (sk_c9))
% 35.03/5.64 | ((inverse @ (inverse @ sk_c6)) = (sk_c7)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl58])).
% 35.03/5.64 thf(zip_derived_cl183, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl752, plain,
% 35.03/5.64 ((((sk_c6) = (multiply @ sk_c7 @ identity))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl183])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl1134, plain,
% 35.03/5.64 ((((sk_c6) = (sk_c7)) | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl752, zip_derived_cl1096])).
% 35.03/5.64 thf(prove_this_6, conjecture,
% 35.03/5.64 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 35.03/5.64 thf(zf_stmt_10, negated_conjecture,
% 35.03/5.64 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 35.03/5.64 thf(zip_derived_cl8, plain,
% 35.03/5.64 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_10])).
% 35.03/5.64 thf(zip_derived_cl11, plain,
% 35.03/5.64 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_9])).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(zip_derived_cl57, plain,
% 35.03/5.64 ((((multiply @ sk_c7 @ sk_c5) = (identity))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl120, plain,
% 35.03/5.64 ((((multiply @ (inverse @ sk_c4) @ sk_c5) = (identity))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl57])).
% 35.03/5.64 thf(zip_derived_cl125, plain,
% 35.03/5.64 ((((inverse @ sk_c10) = (sk_c9))
% 35.03/5.64 | ((multiply @ (inverse @ sk_c4) @ sk_c5) = (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl120])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl647, plain,
% 35.03/5.64 ((((sk_c5) = (multiply @ (inverse @ (inverse @ sk_c4)) @ identity))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl183, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl851, plain,
% 35.03/5.64 ((((sk_c5) = (sk_c4)) | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl647, zip_derived_cl183])).
% 35.03/5.64 thf(zip_derived_cl10, plain,
% 35.03/5.64 ((((inverse @ sk_c6) = (sk_c5)) | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_8])).
% 35.03/5.64 thf(zip_derived_cl852, plain,
% 35.03/5.64 ((((inverse @ sk_c6) = (sk_c4))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl851, zip_derived_cl10])).
% 35.03/5.64 thf(zip_derived_cl866, plain,
% 35.03/5.64 ((((inverse @ sk_c10) = (sk_c9)) | ((inverse @ sk_c6) = (sk_c4)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl852])).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(zip_derived_cl872, plain,
% 35.03/5.64 ((((multiply @ sk_c4 @ sk_c6) = (identity))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl866, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl1156, plain,
% 35.03/5.64 ((((multiply @ sk_c4 @ sk_c7) = (identity))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1134, zip_derived_cl872])).
% 35.03/5.64 thf(zip_derived_cl1163, plain,
% 35.03/5.64 ((((inverse @ sk_c10) = (sk_c9))
% 35.03/5.64 | ((multiply @ sk_c4 @ sk_c7) = (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl1156])).
% 35.03/5.64 thf(prove_this_5, conjecture,
% 35.03/5.64 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 35.03/5.64 thf(zf_stmt_11, negated_conjecture,
% 35.03/5.64 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 35.03/5.64 thf(zip_derived_cl7, plain,
% 35.03/5.64 ((((multiply @ sk_c4 @ sk_c7) = (sk_c10))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_11])).
% 35.03/5.64 thf(zip_derived_cl1608, plain,
% 35.03/5.64 ((((identity) = (sk_c10))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1163, zip_derived_cl7])).
% 35.03/5.64 thf(zip_derived_cl1621, plain,
% 35.03/5.64 ((((inverse @ sk_c10) = (sk_c9)) | ((identity) = (sk_c10)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl1608])).
% 35.03/5.64 thf(prove_this_16, conjecture,
% 35.03/5.64 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c10 ) ) ))).
% 35.03/5.64 thf(zf_stmt_12, negated_conjecture,
% 35.03/5.64 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c10 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 35.03/5.64 thf(zip_derived_cl18, plain,
% 35.03/5.64 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_12])).
% 35.03/5.64 thf(prove_this_19, conjecture,
% 35.03/5.64 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c10 ) ) ))).
% 35.03/5.64 thf(zf_stmt_13, negated_conjecture,
% 35.03/5.64 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c10 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 35.03/5.64 thf(zip_derived_cl21, plain,
% 35.03/5.64 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_13])).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(zip_derived_cl77, plain,
% 35.03/5.64 ((((multiply @ sk_c7 @ sk_c5) = (identity))
% 35.03/5.64 | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl794, plain,
% 35.03/5.64 ((((multiply @ (inverse @ sk_c4) @ sk_c5) = (identity))
% 35.03/5.64 | ((multiply @ sk_c9 @ sk_c8) = (sk_c10))
% 35.03/5.64 | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl77])).
% 35.03/5.64 thf(zip_derived_cl800, plain,
% 35.03/5.64 ((((multiply @ sk_c9 @ sk_c8) = (sk_c10))
% 35.03/5.64 | ((multiply @ (inverse @ sk_c4) @ sk_c5) = (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl794])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl3973, plain,
% 35.03/5.64 ((((sk_c5) = (multiply @ (inverse @ (inverse @ sk_c4)) @ identity))
% 35.03/5.64 | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl800, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl1144, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1096, zip_derived_cl183])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl3996, plain,
% 35.03/5.64 ((((sk_c5) = (sk_c4)) | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl3973, zip_derived_cl1144, zip_derived_cl1096])).
% 35.03/5.64 thf(zip_derived_cl21, plain,
% 35.03/5.64 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_13])).
% 35.03/5.64 thf(zip_derived_cl1144, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1096, zip_derived_cl183])).
% 35.03/5.64 thf(zip_derived_cl1181, plain,
% 35.03/5.64 ((((sk_c5) = (inverse @ sk_c7)) | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1144])).
% 35.03/5.64 thf(zip_derived_cl4018, plain,
% 35.03/5.64 ((((sk_c4) = (inverse @ sk_c7))
% 35.03/5.64 | ((multiply @ sk_c9 @ sk_c8) = (sk_c10))
% 35.03/5.64 | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl3996, zip_derived_cl1181])).
% 35.03/5.64 thf(zip_derived_cl4033, plain,
% 35.03/5.64 ((((multiply @ sk_c9 @ sk_c8) = (sk_c10)) | ((sk_c4) = (inverse @ sk_c7)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl4018])).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(zip_derived_cl4112, plain,
% 35.03/5.64 ((((multiply @ sk_c4 @ sk_c7) = (identity))
% 35.03/5.64 | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl4033, zip_derived_cl1])).
% 35.03/5.64 thf(prove_this_15, conjecture,
% 35.03/5.64 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c10 ) ) ))).
% 35.03/5.64 thf(zf_stmt_14, negated_conjecture,
% 35.03/5.64 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c10 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 35.03/5.64 thf(zip_derived_cl17, plain,
% 35.03/5.64 ((((multiply @ sk_c4 @ sk_c7) = (sk_c10))
% 35.03/5.64 | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_14])).
% 35.03/5.64 thf(zip_derived_cl6148, plain,
% 35.03/5.64 ((((identity) = (sk_c10))
% 35.03/5.64 | ((multiply @ sk_c9 @ sk_c8) = (sk_c10))
% 35.03/5.64 | ((multiply @ sk_c9 @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl4112, zip_derived_cl17])).
% 35.03/5.64 thf(zip_derived_cl6165, plain,
% 35.03/5.64 ((((multiply @ sk_c9 @ sk_c8) = (sk_c10)) | ((identity) = (sk_c10)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl6148])).
% 35.03/5.64 thf(zip_derived_cl6180, plain,
% 35.03/5.64 ((((multiply @ (inverse @ sk_c10) @ sk_c8) = (sk_c10))
% 35.03/5.64 | ((identity) = (sk_c10))
% 35.03/5.64 | ((identity) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1621, zip_derived_cl6165])).
% 35.03/5.64 thf(zip_derived_cl6184, plain,
% 35.03/5.64 ((((identity) = (sk_c10))
% 35.03/5.64 | ((multiply @ (inverse @ sk_c10) @ sk_c8) = (sk_c10)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl6180])).
% 35.03/5.64 thf(zip_derived_cl1144, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1096, zip_derived_cl183])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl1167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1144, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl6273, plain,
% 35.03/5.64 ((((sk_c8) = (multiply @ sk_c10 @ sk_c10)) | ((identity) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl6184, zip_derived_cl1167])).
% 35.03/5.64 thf(zip_derived_cl6639, plain,
% 35.03/5.64 ((((multiply @ (inverse @ sk_c10) @ sk_c9) = (multiply @ sk_c10 @ sk_c10))
% 35.03/5.64 | ((identity) = (sk_c10))
% 35.03/5.64 | ((identity) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl6601, zip_derived_cl6273])).
% 35.03/5.64 thf(zip_derived_cl6648, plain,
% 35.03/5.64 ((((identity) = (sk_c10))
% 35.03/5.64 | ((multiply @ (inverse @ sk_c10) @ sk_c9)
% 35.03/5.64 = (multiply @ sk_c10 @ sk_c10)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl6639])).
% 35.03/5.64 thf(zip_derived_cl9283, plain,
% 35.03/5.64 ((((multiply @ (inverse @ sk_c10) @ (multiply @ sk_c10 @ sk_c10))
% 35.03/5.64 = (multiply @ sk_c10 @ sk_c10))
% 35.03/5.64 | ((identity) = (sk_c10))
% 35.03/5.64 | ((identity) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl9235, zip_derived_cl6648])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl9303, plain,
% 35.03/5.64 ((((sk_c10) = (multiply @ sk_c10 @ sk_c10))
% 35.03/5.64 | ((identity) = (sk_c10))
% 35.03/5.64 | ((identity) = (sk_c10)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl9283, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl9304, plain,
% 35.03/5.64 ((((identity) = (sk_c10)) | ((sk_c10) = (multiply @ sk_c10 @ sk_c10)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9303])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl9580, plain,
% 35.03/5.64 ((((sk_c10) = (multiply @ (inverse @ sk_c10) @ sk_c10))
% 35.03/5.64 | ((identity) = (sk_c10)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl9304, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(zip_derived_cl9588, plain,
% 35.03/5.64 ((((sk_c10) = (identity)) | ((identity) = (sk_c10)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl9580, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl0, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_identity])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl0, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_identity])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl9649, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.03/5.64 (((multiply @ X1 @ X2) != (X0))
% 35.03/5.64 | ((inverse @ X0) != (X2))
% 35.03/5.64 | ((inverse @ X1) != (X0))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X2))
% 35.03/5.64 | ((multiply @ X3 @ X2) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((X4) != (sk_c8))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((X5) != (identity))
% 35.03/5.64 | ((X6) != (identity))
% 35.03/5.64 | ((inverse @ X6) != (identity))
% 35.03/5.64 | ((sk_c8) != (identity))
% 35.03/5.64 | ((sk_c8) != (identity))
% 35.03/5.64 | ((identity) != (sk_c9)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl54, zip_derived_cl9589, zip_derived_cl924,
% 35.03/5.64 zip_derived_cl1096, zip_derived_cl9589, zip_derived_cl9589,
% 35.03/5.64 zip_derived_cl9589, zip_derived_cl924, zip_derived_cl9589,
% 35.03/5.64 zip_derived_cl924, zip_derived_cl1096, zip_derived_cl9589,
% 35.03/5.64 zip_derived_cl9589, zip_derived_cl1096, zip_derived_cl9589,
% 35.03/5.64 zip_derived_cl924, zip_derived_cl9589, zip_derived_cl924,
% 35.03/5.64 zip_derived_cl1096, zip_derived_cl9589, zip_derived_cl9589,
% 35.03/5.64 zip_derived_cl9589, zip_derived_cl0, zip_derived_cl9589,
% 35.03/5.64 zip_derived_cl924, zip_derived_cl9589, zip_derived_cl924,
% 35.03/5.64 zip_derived_cl0, zip_derived_cl9589, zip_derived_cl9589,
% 35.03/5.64 zip_derived_cl924])).
% 35.03/5.64 thf(zip_derived_cl9650, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.03/5.64 (((identity) != (sk_c9))
% 35.03/5.64 | ((sk_c8) != (identity))
% 35.03/5.64 | ((inverse @ X6) != (identity))
% 35.03/5.64 | ((X6) != (identity))
% 35.03/5.64 | ((X5) != (identity))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((X4) != (sk_c8))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((multiply @ X3 @ X2) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X2))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (X0))
% 35.03/5.64 | ((inverse @ X0) != (X2))
% 35.03/5.64 | ((multiply @ X1 @ X2) != (X0)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9649])).
% 35.03/5.64 thf(zip_derived_cl9651, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.03/5.64 (((identity) != (sk_c9))
% 35.03/5.64 | ((sk_c8) != (identity))
% 35.03/5.64 | ((inverse @ X6) != (identity))
% 35.03/5.64 | ((X6) != (identity))
% 35.03/5.64 | ((X5) != (identity))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((X4) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((multiply @ X3 @ X2) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X2))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (X0))
% 35.03/5.64 | ((inverse @ X0) != (X2))
% 35.03/5.64 | ((multiply @ X1 @ X2) != (X0)))),
% 35.03/5.64 inference('local_rewriting', [status(thm)], [zip_derived_cl9650])).
% 35.03/5.64 thf(prove_this_2, conjecture,
% 35.03/5.64 (~( ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 35.03/5.64 thf(zf_stmt_15, negated_conjecture,
% 35.03/5.64 (( ( inverse @ sk_c2 ) = ( sk_c10 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 35.03/5.64 thf(zip_derived_cl4, plain,
% 35.03/5.64 ((((inverse @ sk_c2) = (sk_c10)) | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_15])).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(zip_derived_cl55, plain,
% 35.03/5.64 ((((multiply @ sk_c10 @ sk_c2) = (identity))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl185, plain,
% 35.03/5.64 ((((sk_c2) = (multiply @ (inverse @ sk_c10) @ identity))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl167])).
% 35.03/5.64 thf(prove_this_1, conjecture,
% 35.03/5.64 (~( ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 35.03/5.64 thf(zf_stmt_16, negated_conjecture,
% 35.03/5.64 (( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 35.03/5.64 thf(zip_derived_cl3, plain,
% 35.03/5.64 ((((multiply @ sk_c2 @ sk_c10) = (sk_c9))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_16])).
% 35.03/5.64 thf(zip_derived_cl232, plain,
% 35.03/5.64 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 35.03/5.64 = (sk_c9))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl185, zip_derived_cl3])).
% 35.03/5.64 thf(zip_derived_cl2, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.03/5.64 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 35.03/5.64 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 35.03/5.64 inference('cnf', [status(esa)], [associativity])).
% 35.03/5.64 thf(zip_derived_cl0, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_identity])).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(zip_derived_cl235, plain,
% 35.03/5.64 ((((identity) = (sk_c9))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9))
% 35.03/5.64 | ((inverse @ sk_c10) = (sk_c9)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl232, zip_derived_cl2, zip_derived_cl0,
% 35.03/5.64 zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl236, plain,
% 35.03/5.64 ((((inverse @ sk_c10) = (sk_c9)) | ((identity) = (sk_c9)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl235])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl9699, plain,
% 35.03/5.64 ((((identity) = (sk_c9)) | ((identity) = (sk_c9)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl236, zip_derived_cl9589, zip_derived_cl924])).
% 35.03/5.64 thf(zip_derived_cl9700, plain, (((identity) = (sk_c9))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9699])).
% 35.03/5.64 thf(zip_derived_cl9958, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.03/5.64 (((identity) != (identity))
% 35.03/5.64 | ((sk_c8) != (identity))
% 35.03/5.64 | ((inverse @ X6) != (identity))
% 35.03/5.64 | ((X6) != (identity))
% 35.03/5.64 | ((X5) != (identity))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((X4) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((multiply @ X3 @ X2) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X2))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (X0))
% 35.03/5.64 | ((inverse @ X0) != (X2))
% 35.03/5.64 | ((multiply @ X1 @ X2) != (X0)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl9651, zip_derived_cl9700])).
% 35.03/5.64 thf(zip_derived_cl9959, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.03/5.64 (((multiply @ X1 @ X2) != (X0))
% 35.03/5.64 | ((inverse @ X0) != (X2))
% 35.03/5.64 | ((inverse @ X1) != (X0))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X2))
% 35.03/5.64 | ((multiply @ X3 @ X2) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((X4) != (identity))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((X5) != (identity))
% 35.03/5.64 | ((X6) != (identity))
% 35.03/5.64 | ((inverse @ X6) != (identity))
% 35.03/5.64 | ((sk_c8) != (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9958])).
% 35.03/5.64 thf(prove_this_23, conjecture,
% 35.03/5.64 (~( ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 35.03/5.64 thf(zf_stmt_17, negated_conjecture,
% 35.03/5.64 (( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 35.03/5.64 thf(zip_derived_cl25, plain,
% 35.03/5.64 ((((multiply @ sk_c3 @ sk_c9) = (sk_c8))
% 35.03/5.64 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_17])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl187, plain,
% 35.03/5.64 ((((sk_c8) = (multiply @ (inverse @ sk_c10) @ sk_c9))
% 35.03/5.64 | ((multiply @ sk_c3 @ sk_c9) = (sk_c8)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl424, plain,
% 35.03/5.64 ((((multiply @ sk_c3 @ sk_c9) != (multiply @ (inverse @ sk_c10) @ sk_c9))
% 35.03/5.64 | ((sk_c8) = (multiply @ (inverse @ sk_c10) @ sk_c9)))),
% 35.03/5.64 inference('eq_fact', [status(thm)], [zip_derived_cl187])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl0, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_identity])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl0, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_identity])).
% 35.03/5.64 thf(zip_derived_cl9719, plain,
% 35.03/5.64 ((((multiply @ sk_c3 @ sk_c9) != (sk_c9)) | ((sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl424, zip_derived_cl9589, zip_derived_cl924,
% 35.03/5.64 zip_derived_cl0, zip_derived_cl9589, zip_derived_cl924,
% 35.03/5.64 zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl9700, plain, (((identity) = (sk_c9))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9699])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl9700, plain, (((identity) = (sk_c9))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9699])).
% 35.03/5.64 thf(zip_derived_cl9700, plain, (((identity) = (sk_c9))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9699])).
% 35.03/5.64 thf(zip_derived_cl9967, plain,
% 35.03/5.64 ((((sk_c3) != (identity)) | ((sk_c8) = (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl9719, zip_derived_cl9700, zip_derived_cl1096,
% 35.03/5.64 zip_derived_cl9700, zip_derived_cl9700])).
% 35.03/5.64 thf(prove_this_34, conjecture,
% 35.03/5.64 (~( ( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 35.03/5.64 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 35.03/5.64 thf(zf_stmt_18, negated_conjecture,
% 35.03/5.64 (( ( inverse @ sk_c3 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 35.03/5.64 thf(zip_derived_cl36, plain,
% 35.03/5.64 ((((inverse @ sk_c3) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c10)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_18])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl9632, plain,
% 35.03/5.64 ((((inverse @ sk_c3) = (sk_c9)) | ((inverse @ sk_c1) = (identity)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl9589])).
% 35.03/5.64 thf(zip_derived_cl9700, plain, (((identity) = (sk_c9))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9699])).
% 35.03/5.64 thf(zip_derived_cl10471, plain,
% 35.03/5.64 ((((inverse @ sk_c3) = (identity)) | ((inverse @ sk_c1) = (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl9632, zip_derived_cl9700])).
% 35.03/5.64 thf(zip_derived_cl10471, plain,
% 35.03/5.64 ((((inverse @ sk_c3) = (identity)) | ((inverse @ sk_c1) = (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl9632, zip_derived_cl9700])).
% 35.03/5.64 thf(zip_derived_cl1167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1144, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl10475, plain,
% 35.03/5.64 (![X0 : $i]:
% 35.03/5.64 (((X0) = (multiply @ sk_c1 @ (multiply @ identity @ X0)))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('sup+', [status(thm)],
% 35.03/5.64 [zip_derived_cl10471, zip_derived_cl1167])).
% 35.03/5.64 thf(zip_derived_cl0, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_identity])).
% 35.03/5.64 thf(zip_derived_cl10499, plain,
% 35.03/5.64 (![X0 : $i]:
% 35.03/5.64 (((X0) = (multiply @ sk_c1 @ X0)) | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl10475, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl167, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 35.03/5.64 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl11002, plain,
% 35.03/5.64 (![X0 : $i]:
% 35.03/5.64 (((X0) = (multiply @ (inverse @ sk_c1) @ X0))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl10499, zip_derived_cl167])).
% 35.03/5.64 thf(zip_derived_cl1165, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1144, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl22549, plain,
% 35.03/5.64 ((((inverse @ (inverse @ sk_c1)) = (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('sup+', [status(thm)],
% 35.03/5.64 [zip_derived_cl11002, zip_derived_cl1165])).
% 35.03/5.64 thf(prove_this_24, conjecture,
% 35.03/5.64 (~( ( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 35.03/5.64 thf(zf_stmt_19, negated_conjecture,
% 35.03/5.64 (( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 35.03/5.64 ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) )),
% 35.03/5.64 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 35.03/5.64 thf(zip_derived_cl26, plain,
% 35.03/5.64 ((((inverse @ sk_c3) = (sk_c9)) | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_19])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl0, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_identity])).
% 35.03/5.64 thf(zip_derived_cl9622, plain,
% 35.03/5.64 ((((inverse @ sk_c3) = (sk_c9)) | ((sk_c8) = (sk_c9)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl26, zip_derived_cl9589, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl9700, plain, (((identity) = (sk_c9))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9699])).
% 35.03/5.64 thf(zip_derived_cl9700, plain, (((identity) = (sk_c9))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9699])).
% 35.03/5.64 thf(zip_derived_cl10102, plain,
% 35.03/5.64 ((((inverse @ sk_c3) = (identity)) | ((sk_c8) = (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl9622, zip_derived_cl9700, zip_derived_cl9700])).
% 35.03/5.64 thf(zip_derived_cl9959, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.03/5.64 (((multiply @ X1 @ X2) != (X0))
% 35.03/5.64 | ((inverse @ X0) != (X2))
% 35.03/5.64 | ((inverse @ X1) != (X0))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X2))
% 35.03/5.64 | ((multiply @ X3 @ X2) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((X4) != (identity))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((X5) != (identity))
% 35.03/5.64 | ((X6) != (identity))
% 35.03/5.64 | ((inverse @ X6) != (identity))
% 35.03/5.64 | ((sk_c8) != (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9958])).
% 35.03/5.64 thf(zip_derived_cl10103, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.03/5.64 (((identity) != (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((X1) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X2) != (identity))
% 35.03/5.64 | ((multiply @ X4 @ X3) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (X3))
% 35.03/5.64 | ((X3) != (identity))
% 35.03/5.64 | ((inverse @ X5) != (X6))
% 35.03/5.64 | ((inverse @ X6) != (X3))
% 35.03/5.64 | ((multiply @ X5 @ X3) != (X6)))),
% 35.03/5.64 inference('sup-', [status(thm)],
% 35.03/5.64 [zip_derived_cl10102, zip_derived_cl9959])).
% 35.03/5.64 thf(zip_derived_cl10104, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.03/5.64 (((multiply @ X5 @ X3) != (X6))
% 35.03/5.64 | ((inverse @ X6) != (X3))
% 35.03/5.64 | ((inverse @ X5) != (X6))
% 35.03/5.64 | ((X3) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (X3))
% 35.03/5.64 | ((multiply @ X4 @ X3) != (identity))
% 35.03/5.64 | ((inverse @ X2) != (identity))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((X1) != (identity))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl10103])).
% 35.03/5.64 thf(zip_derived_cl127423, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.03/5.64 (((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((X1) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X2) != (identity))
% 35.03/5.64 | ((multiply @ X3 @ identity) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (X5))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((multiply @ X4 @ identity) != (X5)))),
% 35.03/5.64 inference('eq_res', [status(thm)], [zip_derived_cl10104])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl127424, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.03/5.64 (((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((X1) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X2) != (identity))
% 35.03/5.64 | ((X3) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (X5))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((X4) != (X5)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127423, zip_derived_cl1096, zip_derived_cl1096])).
% 35.03/5.64 thf(zip_derived_cl127425, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.03/5.64 (((inverse @ X0) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (X0))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((X1) != (identity))
% 35.03/5.64 | ((inverse @ X2) != (identity))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (identity))
% 35.03/5.64 | ((X3) != (identity))
% 35.03/5.64 | ((X4) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('eq_res', [status(thm)], [zip_derived_cl127424])).
% 35.03/5.64 thf(zip_derived_cl127426, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.03/5.64 (((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((X1) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X2) != (identity))
% 35.03/5.64 | ((inverse @ identity) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X3))
% 35.03/5.64 | ((inverse @ X3) != (identity)))),
% 35.03/5.64 inference('eq_res', [status(thm)], [zip_derived_cl127425])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl127427, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.03/5.64 (((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((X1) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X2) != (identity))
% 35.03/5.64 | ((identity) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X3))
% 35.03/5.64 | ((inverse @ X3) != (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127426, zip_derived_cl924])).
% 35.03/5.64 thf(zip_derived_cl127428, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.03/5.64 (((inverse @ X3) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X3))
% 35.03/5.64 | ((inverse @ X2) != (identity))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((X1) != (identity))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127427])).
% 35.03/5.64 thf(zip_derived_cl127429, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.03/5.64 (((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((X1) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((inverse @ identity) != (identity))
% 35.03/5.64 | ((inverse @ X2) != (X2))
% 35.03/5.64 | ((inverse @ X2) != (identity)))),
% 35.03/5.64 inference('eq_res', [status(thm)], [zip_derived_cl127428])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl127430, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.03/5.64 (((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((X1) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((identity) != (identity))
% 35.03/5.64 | ((inverse @ X2) != (X2))
% 35.03/5.64 | ((inverse @ X2) != (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127429, zip_derived_cl924])).
% 35.03/5.64 thf(zip_derived_cl127431, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.03/5.64 (((inverse @ X2) != (identity))
% 35.03/5.64 | ((inverse @ X2) != (X2))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((X1) != (identity))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127430])).
% 35.03/5.64 thf(zip_derived_cl127432, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 (((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ identity) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (X1))
% 35.03/5.64 | ((inverse @ X1) != (identity)))),
% 35.03/5.64 inference('eq_res', [status(thm)], [zip_derived_cl127431])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl127433, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 (((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((identity) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (X1))
% 35.03/5.64 | ((inverse @ X1) != (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127432, zip_derived_cl924])).
% 35.03/5.64 thf(zip_derived_cl127434, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 (((inverse @ X1) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (X1))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127433])).
% 35.03/5.64 thf(zip_derived_cl127435, plain,
% 35.03/5.64 (![X0 : $i]:
% 35.03/5.64 (((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ identity) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (X0))
% 35.03/5.64 | ((inverse @ X0) != (identity)))),
% 35.03/5.64 inference('eq_res', [status(thm)], [zip_derived_cl127434])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl127436, plain,
% 35.03/5.64 (![X0 : $i]:
% 35.03/5.64 (((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((identity) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (X0))
% 35.03/5.64 | ((inverse @ X0) != (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127435, zip_derived_cl924])).
% 35.03/5.64 thf(zip_derived_cl127437, plain,
% 35.03/5.64 (![X0 : $i]:
% 35.03/5.64 (((inverse @ X0) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (X0))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127436])).
% 35.03/5.64 thf(zip_derived_cl127494, plain,
% 35.03/5.64 ((((identity) != (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ (inverse @ sk_c1)) != (inverse @ sk_c1)))),
% 35.03/5.64 inference('sup-', [status(thm)],
% 35.03/5.64 [zip_derived_cl22549, zip_derived_cl127437])).
% 35.03/5.64 thf(zip_derived_cl1144, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1096, zip_derived_cl183])).
% 35.03/5.64 thf(zip_derived_cl127587, plain,
% 35.03/5.64 ((((identity) != (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((sk_c1) != (inverse @ sk_c1)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127494, zip_derived_cl1144])).
% 35.03/5.64 thf(zip_derived_cl127588, plain,
% 35.03/5.64 ((((sk_c1) != (inverse @ sk_c1)) | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127587])).
% 35.03/5.64 thf(zip_derived_cl127613, plain,
% 35.03/5.64 ((((sk_c1) != (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('sup-', [status(thm)],
% 35.03/5.64 [zip_derived_cl10471, zip_derived_cl127588])).
% 35.03/5.64 thf(zip_derived_cl127624, plain,
% 35.03/5.64 ((((inverse @ sk_c3) = (identity)) | ((sk_c1) != (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127613])).
% 35.03/5.64 thf(zip_derived_cl36, plain,
% 35.03/5.64 ((((inverse @ sk_c3) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c10)))),
% 35.03/5.64 inference('cnf', [status(esa)], [zf_stmt_18])).
% 35.03/5.64 thf(zip_derived_cl1, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_inverse])).
% 35.03/5.64 thf(zip_derived_cl69, plain,
% 35.03/5.64 ((((multiply @ sk_c10 @ sk_c1) = (identity))
% 35.03/5.64 | ((inverse @ sk_c3) = (sk_c9)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl9589, plain, (((sk_c10) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9588])).
% 35.03/5.64 thf(zip_derived_cl0, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 35.03/5.64 inference('cnf', [status(esa)], [left_identity])).
% 35.03/5.64 thf(zip_derived_cl9661, plain,
% 35.03/5.64 ((((sk_c1) = (identity)) | ((inverse @ sk_c3) = (sk_c9)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl69, zip_derived_cl9589, zip_derived_cl0])).
% 35.03/5.64 thf(zip_derived_cl9700, plain, (((identity) = (sk_c9))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl9699])).
% 35.03/5.64 thf(zip_derived_cl10111, plain,
% 35.03/5.64 ((((sk_c1) = (identity)) | ((inverse @ sk_c3) = (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl9661, zip_derived_cl9700])).
% 35.03/5.64 thf(zip_derived_cl127634, plain, (((inverse @ sk_c3) = (identity))),
% 35.03/5.64 inference('clc', [status(thm)],
% 35.03/5.64 [zip_derived_cl127624, zip_derived_cl10111])).
% 35.03/5.64 thf(zip_derived_cl1144, plain,
% 35.03/5.64 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl1096, zip_derived_cl183])).
% 35.03/5.64 thf(zip_derived_cl127636, plain, (((sk_c3) = (inverse @ identity))),
% 35.03/5.64 inference('sup+', [status(thm)],
% 35.03/5.64 [zip_derived_cl127634, zip_derived_cl1144])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl127640, plain, (((sk_c3) = (identity))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127636, zip_derived_cl924])).
% 35.03/5.64 thf(zip_derived_cl127642, plain,
% 35.03/5.64 ((((identity) != (identity)) | ((sk_c8) = (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl9967, zip_derived_cl127640])).
% 35.03/5.64 thf(zip_derived_cl127643, plain, (((sk_c8) = (identity))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127642])).
% 35.03/5.64 thf(zip_derived_cl127655, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.03/5.64 (((multiply @ X1 @ X2) != (X0))
% 35.03/5.64 | ((inverse @ X0) != (X2))
% 35.03/5.64 | ((inverse @ X1) != (X0))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X2))
% 35.03/5.64 | ((multiply @ X3 @ X2) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((X4) != (identity))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((X5) != (identity))
% 35.03/5.64 | ((X6) != (identity))
% 35.03/5.64 | ((inverse @ X6) != (identity))
% 35.03/5.64 | ((identity) != (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl9959, zip_derived_cl127643])).
% 35.03/5.64 thf(zip_derived_cl127656, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 35.03/5.64 (((inverse @ X6) != (identity))
% 35.03/5.64 | ((X6) != (identity))
% 35.03/5.64 | ((X5) != (identity))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((X4) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((multiply @ X3 @ X2) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X2))
% 35.03/5.64 | ((X2) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (X0))
% 35.03/5.64 | ((inverse @ X0) != (X2))
% 35.03/5.64 | ((multiply @ X1 @ X2) != (X0)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127655])).
% 35.03/5.64 thf(zip_derived_cl127665, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.03/5.64 (((multiply @ X1 @ X0) != (X2))
% 35.03/5.64 | ((inverse @ X2) != (X0))
% 35.03/5.64 | ((inverse @ X1) != (X2))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X0))
% 35.03/5.64 | ((multiply @ X3 @ X0) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((X4) != (identity))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((X5) != (identity))
% 35.03/5.64 | ((inverse @ identity) != (identity)))),
% 35.03/5.64 inference('eq_res', [status(thm)], [zip_derived_cl127656])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl127666, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.03/5.64 (((multiply @ X1 @ X0) != (X2))
% 35.03/5.64 | ((inverse @ X2) != (X0))
% 35.03/5.64 | ((inverse @ X1) != (X2))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X0))
% 35.03/5.64 | ((multiply @ X3 @ X0) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((X4) != (identity))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((X5) != (identity))
% 35.03/5.64 | ((identity) != (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127665, zip_derived_cl924])).
% 35.03/5.64 thf(zip_derived_cl127667, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.03/5.64 (((X5) != (identity))
% 35.03/5.64 | ((inverse @ X5) != (identity))
% 35.03/5.64 | ((X4) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((multiply @ X3 @ X0) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X0))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (X2))
% 35.03/5.64 | ((inverse @ X2) != (X0))
% 35.03/5.64 | ((multiply @ X1 @ X0) != (X2)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127666])).
% 35.03/5.64 thf(zip_derived_cl127668, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.03/5.64 (((multiply @ X1 @ X0) != (X2))
% 35.03/5.64 | ((inverse @ X2) != (X0))
% 35.03/5.64 | ((inverse @ X1) != (X2))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X0))
% 35.03/5.64 | ((multiply @ X3 @ X0) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((X4) != (identity))
% 35.03/5.64 | ((inverse @ identity) != (identity)))),
% 35.03/5.64 inference('eq_res', [status(thm)], [zip_derived_cl127667])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl127669, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.03/5.64 (((multiply @ X1 @ X0) != (X2))
% 35.03/5.64 | ((inverse @ X2) != (X0))
% 35.03/5.64 | ((inverse @ X1) != (X2))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X0))
% 35.03/5.64 | ((multiply @ X3 @ X0) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((X4) != (identity))
% 35.03/5.64 | ((identity) != (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127668, zip_derived_cl924])).
% 35.03/5.64 thf(zip_derived_cl127670, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.03/5.64 (((X4) != (identity))
% 35.03/5.64 | ((inverse @ X4) != (identity))
% 35.03/5.64 | ((multiply @ X3 @ X0) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X0))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (X2))
% 35.03/5.64 | ((inverse @ X2) != (X0))
% 35.03/5.64 | ((multiply @ X1 @ X0) != (X2)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127669])).
% 35.03/5.64 thf(zip_derived_cl127671, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.03/5.64 (((multiply @ X1 @ X0) != (X2))
% 35.03/5.64 | ((inverse @ X2) != (X0))
% 35.03/5.64 | ((inverse @ X1) != (X2))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X0))
% 35.03/5.64 | ((multiply @ X3 @ X0) != (identity))
% 35.03/5.64 | ((inverse @ identity) != (identity)))),
% 35.03/5.64 inference('eq_res', [status(thm)], [zip_derived_cl127670])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl127672, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.03/5.64 (((multiply @ X1 @ X0) != (X2))
% 35.03/5.64 | ((inverse @ X2) != (X0))
% 35.03/5.64 | ((inverse @ X1) != (X2))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X0))
% 35.03/5.64 | ((multiply @ X3 @ X0) != (identity))
% 35.03/5.64 | ((identity) != (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127671, zip_derived_cl924])).
% 35.03/5.64 thf(zip_derived_cl127673, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.03/5.64 (((multiply @ X3 @ X0) != (identity))
% 35.03/5.64 | ((inverse @ X3) != (X0))
% 35.03/5.64 | ((X0) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (X2))
% 35.03/5.64 | ((inverse @ X2) != (X0))
% 35.03/5.64 | ((multiply @ X1 @ X0) != (X2)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127672])).
% 35.03/5.64 thf(zip_derived_cl127674, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.03/5.64 (((multiply @ X0 @ identity) != (X1))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (X1))
% 35.03/5.64 | ((inverse @ X2) != (identity))
% 35.03/5.64 | ((multiply @ X2 @ identity) != (identity)))),
% 35.03/5.64 inference('eq_res', [status(thm)], [zip_derived_cl127673])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl1096, plain,
% 35.03/5.64 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl180])).
% 35.03/5.64 thf(zip_derived_cl127675, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.03/5.64 (((X0) != (X1))
% 35.03/5.64 | ((inverse @ X1) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (X1))
% 35.03/5.64 | ((inverse @ X2) != (identity))
% 35.03/5.64 | ((X2) != (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127674, zip_derived_cl1096, zip_derived_cl1096])).
% 35.03/5.64 thf(zip_derived_cl127676, plain,
% 35.03/5.64 (![X0 : $i, X1 : $i]:
% 35.03/5.64 (((X0) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (identity))
% 35.03/5.64 | ((inverse @ X1) != (X1))
% 35.03/5.64 | ((inverse @ X1) != (identity)))),
% 35.03/5.64 inference('eq_res', [status(thm)], [zip_derived_cl127675])).
% 35.03/5.64 thf(zip_derived_cl127713, plain,
% 35.03/5.64 (![X0 : $i]:
% 35.03/5.64 (((inverse @ X0) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (X0))
% 35.03/5.64 | ((inverse @ identity) != (identity)))),
% 35.03/5.64 inference('eq_res', [status(thm)], [zip_derived_cl127676])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl127714, plain,
% 35.03/5.64 (![X0 : $i]:
% 35.03/5.64 (((inverse @ X0) != (identity))
% 35.03/5.64 | ((inverse @ X0) != (X0))
% 35.03/5.64 | ((identity) != (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127713, zip_derived_cl924])).
% 35.03/5.64 thf(zip_derived_cl127715, plain,
% 35.03/5.64 (![X0 : $i]: (((inverse @ X0) != (X0)) | ((inverse @ X0) != (identity)))),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127714])).
% 35.03/5.64 thf(zip_derived_cl127716, plain,
% 35.03/5.64 ((((identity) != (identity)) | ((inverse @ identity) != (identity)))),
% 35.03/5.64 inference('sup-', [status(thm)],
% 35.03/5.64 [zip_derived_cl924, zip_derived_cl127715])).
% 35.03/5.64 thf(zip_derived_cl924, plain, (((inverse @ identity) = (identity))),
% 35.03/5.64 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl1])).
% 35.03/5.64 thf(zip_derived_cl127730, plain,
% 35.03/5.64 ((((identity) != (identity)) | ((identity) != (identity)))),
% 35.03/5.64 inference('demod', [status(thm)],
% 35.03/5.64 [zip_derived_cl127716, zip_derived_cl924])).
% 35.03/5.64 thf(zip_derived_cl127731, plain, ($false),
% 35.03/5.64 inference('simplify', [status(thm)], [zip_derived_cl127730])).
% 35.03/5.64
% 35.03/5.64 % SZS output end Refutation
% 35.03/5.64
% 35.03/5.64
% 35.03/5.64 % Terminating...
% 35.80/5.74 % Runner terminated.
% 35.80/5.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------