TSTP Solution File: GRP318-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP318-1 : 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.nqIERH1Ewq true
% Computer : n008.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 01:51:10 EDT 2023
% Result : Unsatisfiable 9.09s 1.98s
% Output : Refutation 9.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP318-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nqIERH1Ewq true
% 0.18/0.36 % Computer : n008.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Mon Aug 28 21:11:32 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % Running portfolio for 300 s
% 0.18/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36 % Number of cores: 8
% 0.18/0.37 % Python version: Python 3.6.8
% 0.23/0.38 % Running in FO mode
% 0.23/0.72 % Total configuration time : 435
% 0.23/0.72 % Estimated wc time : 1092
% 0.23/0.72 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.09/1.98 % Solved by fo/fo7.sh.
% 9.09/1.98 % done 1921 iterations in 1.064s
% 9.09/1.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.09/1.98 % SZS output start Refutation
% 9.09/1.98 thf(sk_c9_type, type, sk_c9: $i).
% 9.09/1.98 thf(sk_c10_type, type, sk_c10: $i).
% 9.09/1.98 thf(sk_c6_type, type, sk_c6: $i).
% 9.09/1.98 thf(sk_c5_type, type, sk_c5: $i).
% 9.09/1.98 thf(identity_type, type, identity: $i).
% 9.09/1.98 thf(multiply_type, type, multiply: $i > $i > $i).
% 9.09/1.98 thf(sk_c12_type, type, sk_c12: $i).
% 9.09/1.98 thf(sk_c3_type, type, sk_c3: $i).
% 9.09/1.98 thf(inverse_type, type, inverse: $i > $i).
% 9.09/1.98 thf(sk_c4_type, type, sk_c4: $i).
% 9.09/1.98 thf(sk_c1_type, type, sk_c1: $i).
% 9.09/1.98 thf(sk_c11_type, type, sk_c11: $i).
% 9.09/1.98 thf(sk_c2_type, type, sk_c2: $i).
% 9.09/1.98 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 9.09/1.98 thf(zip_derived_cl0, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_identity])).
% 9.09/1.98 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 9.09/1.98 thf(zip_derived_cl1, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.09/1.98 thf(associativity, axiom,
% 9.09/1.98 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 9.09/1.98 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 9.09/1.98 thf(zip_derived_cl2, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.09/1.98 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 9.09/1.98 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 9.09/1.98 inference('cnf', [status(esa)], [associativity])).
% 9.09/1.98 thf(zip_derived_cl119, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i]:
% 9.09/1.98 ((multiply @ identity @ X0)
% 9.09/1.98 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 9.09/1.98 thf(zip_derived_cl0, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_identity])).
% 9.09/1.98 thf(zip_derived_cl167, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i]:
% 9.09/1.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 9.09/1.98 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl0])).
% 9.09/1.98 thf(zip_derived_cl189, plain,
% 9.09/1.98 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl167])).
% 9.09/1.98 thf(zip_derived_cl167, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i]:
% 9.09/1.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 9.09/1.98 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl0])).
% 9.09/1.98 thf(zip_derived_cl265, plain,
% 9.09/1.98 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl189, zip_derived_cl167])).
% 9.09/1.98 thf(zip_derived_cl1, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.09/1.98 thf(zip_derived_cl1443, plain, (((inverse @ identity) = (identity))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl265, zip_derived_cl1])).
% 9.09/1.98 thf(prove_this_61, conjecture,
% 9.09/1.98 (~( ( ( multiply @ X8 @ X3 ) != ( X9 ) ) |
% 9.09/1.98 ( ( inverse @ X9 ) != ( X3 ) ) | ( ( inverse @ X8 ) != ( X9 ) ) |
% 9.09/1.98 ( ( multiply @ X3 @ sk_c11 ) != ( sk_c12 ) ) |
% 9.09/1.98 ( ( inverse @ X7 ) != ( X3 ) ) |
% 9.09/1.98 ( ( multiply @ X7 @ X3 ) != ( sk_c12 ) ) |
% 9.09/1.98 ( ( inverse @ X2 ) != ( sk_c11 ) ) |
% 9.09/1.98 ( ( multiply @ X2 @ sk_c11 ) != ( sk_c10 ) ) |
% 9.09/1.98 ( ( inverse @ X1 ) != ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ X1 @ sk_c12 ) != ( sk_c11 ) ) |
% 9.09/1.98 ( ( inverse @ X6 ) != ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ X6 @ sk_c12 ) != ( X5 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c12 @ X5 ) != ( sk_c11 ) ) |
% 9.09/1.98 ( ( inverse @ X4 ) != ( sk_c11 ) ) |
% 9.09/1.98 ( ( multiply @ X4 @ sk_c11 ) != ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c11 @ sk_c12 ) != ( sk_c10 ) ) ))).
% 9.09/1.98 thf(zf_stmt_0, negated_conjecture,
% 9.09/1.98 (( ( multiply @ X8 @ X3 ) != ( X9 ) ) | ( ( inverse @ X9 ) != ( X3 ) ) |
% 9.09/1.98 ( ( inverse @ X8 ) != ( X9 ) ) |
% 9.09/1.98 ( ( multiply @ X3 @ sk_c11 ) != ( sk_c12 ) ) |
% 9.09/1.98 ( ( inverse @ X7 ) != ( X3 ) ) |
% 9.09/1.98 ( ( multiply @ X7 @ X3 ) != ( sk_c12 ) ) |
% 9.09/1.98 ( ( inverse @ X2 ) != ( sk_c11 ) ) |
% 9.09/1.98 ( ( multiply @ X2 @ sk_c11 ) != ( sk_c10 ) ) |
% 9.09/1.98 ( ( inverse @ X1 ) != ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ X1 @ sk_c12 ) != ( sk_c11 ) ) |
% 9.09/1.98 ( ( inverse @ X6 ) != ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ X6 @ sk_c12 ) != ( X5 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c12 @ X5 ) != ( sk_c11 ) ) |
% 9.09/1.98 ( ( inverse @ X4 ) != ( sk_c11 ) ) |
% 9.09/1.98 ( ( multiply @ X4 @ sk_c11 ) != ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c11 @ sk_c12 ) != ( sk_c10 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_61])).
% 9.09/1.98 thf(zip_derived_cl63, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.09/1.98 X7 : $i, X8 : $i]:
% 9.09/1.98 (((multiply @ X1 @ X2) != (X0))
% 9.09/1.98 | ((inverse @ X0) != (X2))
% 9.09/1.98 | ((inverse @ X1) != (X0))
% 9.09/1.98 | ((multiply @ X2 @ sk_c11) != (sk_c12))
% 9.09/1.98 | ((inverse @ X3) != (X2))
% 9.09/1.98 | ((multiply @ X3 @ X2) != (sk_c12))
% 9.09/1.98 | ((inverse @ X4) != (sk_c11))
% 9.09/1.98 | ((multiply @ X4 @ sk_c11) != (sk_c10))
% 9.09/1.98 | ((inverse @ X5) != (sk_c12))
% 9.09/1.98 | ((multiply @ X5 @ sk_c12) != (sk_c11))
% 9.09/1.98 | ((inverse @ X6) != (sk_c12))
% 9.09/1.98 | ((multiply @ X6 @ sk_c12) != (X7))
% 9.09/1.98 | ((multiply @ sk_c12 @ X7) != (sk_c11))
% 9.09/1.98 | ((inverse @ X8) != (sk_c11))
% 9.09/1.98 | ((multiply @ X8 @ sk_c11) != (sk_c12))
% 9.09/1.98 | ((multiply @ sk_c11 @ sk_c12) != (sk_c10)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.09/1.98 thf(zip_derived_cl64, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.09/1.98 X7 : $i, X8 : $i]:
% 9.09/1.98 (((multiply @ X1 @ X2) != (X0))
% 9.09/1.98 | ((inverse @ X0) != (X2))
% 9.09/1.98 | ((inverse @ X1) != (X0))
% 9.09/1.98 | ((multiply @ X2 @ sk_c11) != (sk_c12))
% 9.09/1.98 | ((inverse @ X3) != (X2))
% 9.09/1.98 | ((multiply @ X3 @ X2) != (sk_c12))
% 9.09/1.98 | ((inverse @ X4) != (sk_c11))
% 9.09/1.98 | ((multiply @ X4 @ sk_c11) != (multiply @ sk_c11 @ sk_c12))
% 9.09/1.98 | ((inverse @ X5) != (sk_c12))
% 9.09/1.98 | ((multiply @ X5 @ sk_c12) != (sk_c11))
% 9.09/1.98 | ((inverse @ X6) != (sk_c12))
% 9.09/1.98 | ((multiply @ X6 @ sk_c12) != (X7))
% 9.09/1.98 | ((multiply @ sk_c12 @ X7) != (sk_c11))
% 9.09/1.98 | ((inverse @ X8) != (sk_c11))
% 9.09/1.98 | ((multiply @ X8 @ sk_c11) != (sk_c12))
% 9.09/1.98 | ((multiply @ sk_c11 @ sk_c12) != (sk_c10)))),
% 9.09/1.98 inference('local_rewriting', [status(thm)], [zip_derived_cl63])).
% 9.09/1.98 thf(prove_this_26, conjecture,
% 9.09/1.98 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 9.09/1.98 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 9.09/1.98 thf(zf_stmt_1, negated_conjecture,
% 9.09/1.98 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 9.09/1.98 thf(zip_derived_cl28, plain,
% 9.09/1.98 ((((inverse @ sk_c6) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c11)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.09/1.98 thf(zip_derived_cl1, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.09/1.98 thf(zip_derived_cl65, plain,
% 9.09/1.98 ((((multiply @ sk_c11 @ sk_c1) = (identity))
% 9.09/1.98 | ((inverse @ sk_c6) = (sk_c9)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl167, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i]:
% 9.09/1.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 9.09/1.98 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl0])).
% 9.09/1.98 thf(zip_derived_cl194, plain,
% 9.09/1.98 ((((sk_c1) = (multiply @ (inverse @ sk_c11) @ identity))
% 9.09/1.98 | ((inverse @ sk_c6) = (sk_c9)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl167])).
% 9.09/1.98 thf(prove_this_16, conjecture,
% 9.09/1.98 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c12 ) ) ))).
% 9.09/1.98 thf(zf_stmt_2, negated_conjecture,
% 9.09/1.98 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c12 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 9.09/1.98 thf(zip_derived_cl18, plain,
% 9.09/1.98 ((((inverse @ sk_c6) = (sk_c9))
% 9.09/1.98 | ((multiply @ sk_c1 @ sk_c11) = (sk_c12)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.09/1.98 thf(zip_derived_cl272, plain,
% 9.09/1.98 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c11)
% 9.09/1.98 = (sk_c12))
% 9.09/1.98 | ((inverse @ sk_c6) = (sk_c9))
% 9.09/1.98 | ((inverse @ sk_c6) = (sk_c9)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl18])).
% 9.09/1.98 thf(zip_derived_cl2, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.09/1.98 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 9.09/1.98 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 9.09/1.98 inference('cnf', [status(esa)], [associativity])).
% 9.09/1.98 thf(zip_derived_cl0, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_identity])).
% 9.09/1.98 thf(zip_derived_cl1, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.09/1.98 thf(zip_derived_cl298, plain,
% 9.09/1.98 ((((identity) = (sk_c12))
% 9.09/1.98 | ((inverse @ sk_c6) = (sk_c9))
% 9.09/1.98 | ((inverse @ sk_c6) = (sk_c9)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl272, zip_derived_cl2, zip_derived_cl0,
% 9.09/1.98 zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl299, plain,
% 9.09/1.98 ((((inverse @ sk_c6) = (sk_c9)) | ((identity) = (sk_c12)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl298])).
% 9.09/1.98 thf(prove_this_25, conjecture,
% 9.09/1.98 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c12 ) ) |
% 9.09/1.98 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 9.09/1.98 thf(zf_stmt_3, negated_conjecture,
% 9.09/1.98 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c12 ) ) |
% 9.09/1.98 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 9.09/1.98 thf(zip_derived_cl27, plain,
% 9.09/1.98 ((((multiply @ sk_c6 @ sk_c9) = (sk_c12))
% 9.09/1.98 | ((inverse @ sk_c1) = (sk_c11)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.09/1.98 thf(zip_derived_cl1, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.09/1.98 thf(zip_derived_cl167, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i]:
% 9.09/1.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 9.09/1.98 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl0])).
% 9.09/1.98 thf(zip_derived_cl190, plain,
% 9.09/1.98 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl167])).
% 9.09/1.98 thf(zip_derived_cl167, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i]:
% 9.09/1.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 9.09/1.98 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl0])).
% 9.09/1.98 thf(zip_derived_cl167, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i]:
% 9.09/1.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 9.09/1.98 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl0])).
% 9.09/1.98 thf(zip_derived_cl187, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i]:
% 9.09/1.98 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl167])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl190, plain,
% 9.09/1.98 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl167])).
% 9.09/1.98 thf(zip_derived_cl1538, plain,
% 9.09/1.98 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl1456, zip_derived_cl190])).
% 9.09/1.98 thf(zip_derived_cl1856, plain,
% 9.09/1.98 ((((sk_c1) = (inverse @ sk_c11))
% 9.09/1.98 | ((multiply @ sk_c6 @ sk_c9) = (sk_c12)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl1538])).
% 9.09/1.98 thf(prove_this_15, conjecture,
% 9.09/1.98 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c12 ) ) ))).
% 9.09/1.98 thf(zf_stmt_4, negated_conjecture,
% 9.09/1.98 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c12 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 9.09/1.98 thf(zip_derived_cl17, plain,
% 9.09/1.98 ((((multiply @ sk_c6 @ sk_c9) = (sk_c12))
% 9.09/1.98 | ((multiply @ sk_c1 @ sk_c11) = (sk_c12)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.09/1.98 thf(zip_derived_cl2653, plain,
% 9.09/1.98 ((((multiply @ (inverse @ sk_c11) @ sk_c11) = (sk_c12))
% 9.09/1.98 | ((multiply @ sk_c6 @ sk_c9) = (sk_c12))
% 9.09/1.98 | ((multiply @ sk_c6 @ sk_c9) = (sk_c12)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl1856, zip_derived_cl17])).
% 9.09/1.98 thf(zip_derived_cl1, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.09/1.98 thf(zip_derived_cl2679, plain,
% 9.09/1.98 ((((identity) = (sk_c12))
% 9.09/1.98 | ((multiply @ sk_c6 @ sk_c9) = (sk_c12))
% 9.09/1.98 | ((multiply @ sk_c6 @ sk_c9) = (sk_c12)))),
% 9.09/1.98 inference('demod', [status(thm)], [zip_derived_cl2653, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl2680, plain,
% 9.09/1.98 ((((multiply @ sk_c6 @ sk_c9) = (sk_c12)) | ((identity) = (sk_c12)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl2679])).
% 9.09/1.98 thf(zip_derived_cl3535, plain,
% 9.09/1.98 ((((multiply @ sk_c6 @ (inverse @ sk_c6)) = (sk_c12))
% 9.09/1.98 | ((identity) = (sk_c12))
% 9.09/1.98 | ((identity) = (sk_c12)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl299, zip_derived_cl2680])).
% 9.09/1.98 thf(zip_derived_cl1538, plain,
% 9.09/1.98 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl1456, zip_derived_cl190])).
% 9.09/1.98 thf(zip_derived_cl1, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.09/1.98 thf(zip_derived_cl1832, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl3541, plain,
% 9.09/1.98 ((((identity) = (sk_c12))
% 9.09/1.98 | ((identity) = (sk_c12))
% 9.09/1.98 | ((identity) = (sk_c12)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl3535, zip_derived_cl1832])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl0, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_identity])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl3598, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 9.09/1.98 X7 : $i, X8 : $i]:
% 9.09/1.98 (((multiply @ X1 @ X2) != (X0))
% 9.09/1.98 | ((inverse @ X0) != (X2))
% 9.09/1.98 | ((inverse @ X1) != (X0))
% 9.09/1.98 | ((multiply @ X2 @ sk_c11) != (identity))
% 9.09/1.98 | ((inverse @ X3) != (X2))
% 9.09/1.98 | ((multiply @ X3 @ X2) != (identity))
% 9.09/1.98 | ((inverse @ X4) != (sk_c11))
% 9.09/1.98 | ((multiply @ X4 @ sk_c11) != (sk_c11))
% 9.09/1.98 | ((inverse @ X5) != (identity))
% 9.09/1.98 | ((X5) != (sk_c11))
% 9.09/1.98 | ((inverse @ X6) != (identity))
% 9.09/1.98 | ((X6) != (X7))
% 9.09/1.98 | ((X7) != (sk_c11))
% 9.09/1.98 | ((inverse @ X8) != (sk_c11))
% 9.09/1.98 | ((multiply @ X8 @ sk_c11) != (identity))
% 9.09/1.98 | ((sk_c11) != (sk_c10)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl64, zip_derived_cl3542, zip_derived_cl3542,
% 9.09/1.98 zip_derived_cl3542, zip_derived_cl1456, zip_derived_cl3542,
% 9.09/1.98 zip_derived_cl3542, zip_derived_cl1456, zip_derived_cl3542,
% 9.09/1.98 zip_derived_cl3542, zip_derived_cl1456, zip_derived_cl3542,
% 9.09/1.98 zip_derived_cl0, zip_derived_cl3542, zip_derived_cl3542,
% 9.09/1.98 zip_derived_cl1456])).
% 9.09/1.98 thf(zip_derived_cl3683, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.09/1.98 (((sk_c11) != (sk_c10))
% 9.09/1.98 | ((multiply @ X0 @ sk_c11) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (sk_c11))
% 9.09/1.98 | ((X1) != (sk_c11))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((X2) != (sk_c11))
% 9.09/1.98 | ((inverse @ X2) != (identity))
% 9.09/1.98 | ((multiply @ X3 @ sk_c11) != (sk_c11))
% 9.09/1.98 | ((inverse @ X3) != (sk_c11))
% 9.09/1.98 | ((multiply @ X5 @ X4) != (identity))
% 9.09/1.98 | ((inverse @ X5) != (X4))
% 9.09/1.98 | ((multiply @ X4 @ sk_c11) != (identity))
% 9.09/1.98 | ((inverse @ X6) != (X7))
% 9.09/1.98 | ((inverse @ X7) != (X4))
% 9.09/1.98 | ((multiply @ X6 @ X4) != (X7)))),
% 9.09/1.98 inference('eq_res', [status(thm)], [zip_derived_cl3598])).
% 9.09/1.98 thf(prove_this_1, conjecture,
% 9.09/1.98 (~( ( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c11 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c11 @ sk_c12 ) = ( sk_c10 ) ) ))).
% 9.09/1.98 thf(zf_stmt_5, negated_conjecture,
% 9.09/1.98 (( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c11 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c11 @ sk_c12 ) = ( sk_c10 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 9.09/1.98 thf(zip_derived_cl3, plain,
% 9.09/1.98 ((((multiply @ sk_c4 @ sk_c12) = (sk_c11))
% 9.09/1.98 | ((multiply @ sk_c11 @ sk_c12) = (sk_c10)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl3549, plain,
% 9.09/1.98 ((((sk_c4) = (sk_c11)) | ((sk_c11) = (sk_c10)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl3, zip_derived_cl3542, zip_derived_cl1456,
% 9.09/1.98 zip_derived_cl3542, zip_derived_cl1456])).
% 9.09/1.98 thf(prove_this_2, conjecture,
% 9.09/1.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c11 @ sk_c12 ) = ( sk_c10 ) ) ))).
% 9.09/1.98 thf(zf_stmt_6, negated_conjecture,
% 9.09/1.98 (( ( inverse @ sk_c4 ) = ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c11 @ sk_c12 ) = ( sk_c10 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 9.09/1.98 thf(zip_derived_cl4, plain,
% 9.09/1.98 ((((inverse @ sk_c4) = (sk_c12))
% 9.09/1.98 | ((multiply @ sk_c11 @ sk_c12) = (sk_c10)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl3550, plain,
% 9.09/1.98 ((((inverse @ sk_c4) = (identity)) | ((sk_c11) = (sk_c10)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl4, zip_derived_cl3542, zip_derived_cl3542,
% 9.09/1.98 zip_derived_cl1456])).
% 9.09/1.98 thf(zip_derived_cl1832, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl3674, plain,
% 9.09/1.98 ((((multiply @ sk_c4 @ identity) = (identity)) | ((sk_c11) = (sk_c10)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl3550, zip_derived_cl1832])).
% 9.09/1.98 thf(zip_derived_cl2, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.09/1.98 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 9.09/1.98 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 9.09/1.98 inference('cnf', [status(esa)], [associativity])).
% 9.09/1.98 thf(zip_derived_cl5214, plain,
% 9.09/1.98 (![X0 : $i]:
% 9.09/1.98 (((multiply @ identity @ X0)
% 9.09/1.98 = (multiply @ sk_c4 @ (multiply @ identity @ X0)))
% 9.09/1.98 | ((sk_c11) = (sk_c10)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl3674, zip_derived_cl2])).
% 9.09/1.98 thf(zip_derived_cl0, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_identity])).
% 9.09/1.98 thf(zip_derived_cl0, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_identity])).
% 9.09/1.98 thf(zip_derived_cl5227, plain,
% 9.09/1.98 (![X0 : $i]: (((X0) = (multiply @ sk_c4 @ X0)) | ((sk_c11) = (sk_c10)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl5214, zip_derived_cl0, zip_derived_cl0])).
% 9.09/1.98 thf(zip_derived_cl5232, plain,
% 9.09/1.98 (![X0 : $i]:
% 9.09/1.98 (((X0) = (multiply @ sk_c11 @ X0))
% 9.09/1.98 | ((sk_c11) = (sk_c10))
% 9.09/1.98 | ((sk_c11) = (sk_c10)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl3549, zip_derived_cl5227])).
% 9.09/1.98 thf(zip_derived_cl5236, plain,
% 9.09/1.98 (![X0 : $i]: (((sk_c11) = (sk_c10)) | ((X0) = (multiply @ sk_c11 @ X0)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl5232])).
% 9.09/1.98 thf(prove_this_4, conjecture,
% 9.09/1.98 (~( ( ( inverse @ sk_c5 ) = ( sk_c11 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c11 @ sk_c12 ) = ( sk_c10 ) ) ))).
% 9.09/1.98 thf(zf_stmt_7, negated_conjecture,
% 9.09/1.98 (( ( inverse @ sk_c5 ) = ( sk_c11 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c11 @ sk_c12 ) = ( sk_c10 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 9.09/1.98 thf(zip_derived_cl6, plain,
% 9.09/1.98 ((((inverse @ sk_c5) = (sk_c11))
% 9.09/1.98 | ((multiply @ sk_c11 @ sk_c12) = (sk_c10)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_7])).
% 9.09/1.98 thf(zip_derived_cl1, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.09/1.98 thf(zip_derived_cl70, plain,
% 9.09/1.98 ((((multiply @ sk_c11 @ sk_c5) = (identity))
% 9.09/1.98 | ((multiply @ sk_c11 @ sk_c12) = (sk_c10)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl3602, plain,
% 9.09/1.98 ((((multiply @ sk_c11 @ sk_c5) = (identity)) | ((sk_c11) = (sk_c10)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl70, zip_derived_cl3542, zip_derived_cl1456])).
% 9.09/1.98 thf(zip_derived_cl6667, plain,
% 9.09/1.98 ((((sk_c5) = (identity)) | ((sk_c11) = (sk_c10)) | ((sk_c11) = (sk_c10)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl5236, zip_derived_cl3602])).
% 9.09/1.98 thf(zip_derived_cl6677, plain,
% 9.09/1.98 ((((sk_c11) = (sk_c10)) | ((sk_c5) = (identity)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl6667])).
% 9.09/1.98 thf(prove_this_3, conjecture,
% 9.09/1.98 (~( ( ( multiply @ sk_c5 @ sk_c11 ) = ( sk_c10 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c11 @ sk_c12 ) = ( sk_c10 ) ) ))).
% 9.09/1.98 thf(zf_stmt_8, negated_conjecture,
% 9.09/1.98 (( ( multiply @ sk_c5 @ sk_c11 ) = ( sk_c10 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c11 @ sk_c12 ) = ( sk_c10 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 9.09/1.98 thf(zip_derived_cl5, plain,
% 9.09/1.98 ((((multiply @ sk_c5 @ sk_c11) = (sk_c10))
% 9.09/1.98 | ((multiply @ sk_c11 @ sk_c12) = (sk_c10)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl3551, plain,
% 9.09/1.98 ((((multiply @ sk_c5 @ sk_c11) = (sk_c10)) | ((sk_c11) = (sk_c10)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl5, zip_derived_cl3542, zip_derived_cl1456])).
% 9.09/1.98 thf(zip_derived_cl6678, plain,
% 9.09/1.98 ((((multiply @ identity @ sk_c11) = (sk_c10))
% 9.09/1.98 | ((sk_c11) = (sk_c10))
% 9.09/1.98 | ((sk_c11) = (sk_c10)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl6677, zip_derived_cl3551])).
% 9.09/1.98 thf(zip_derived_cl0, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_identity])).
% 9.09/1.98 thf(zip_derived_cl6689, plain,
% 9.09/1.98 ((((sk_c11) = (sk_c10)) | ((sk_c11) = (sk_c10)) | ((sk_c11) = (sk_c10)))),
% 9.09/1.98 inference('demod', [status(thm)], [zip_derived_cl6678, zip_derived_cl0])).
% 9.09/1.98 thf(zip_derived_cl6690, plain, (((sk_c11) = (sk_c10))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl6689])).
% 9.09/1.98 thf(zip_derived_cl6713, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.09/1.98 (((sk_c11) != (sk_c11))
% 9.09/1.98 | ((multiply @ X0 @ sk_c11) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (sk_c11))
% 9.09/1.98 | ((X1) != (sk_c11))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((X2) != (sk_c11))
% 9.09/1.98 | ((inverse @ X2) != (identity))
% 9.09/1.98 | ((multiply @ X3 @ sk_c11) != (sk_c11))
% 9.09/1.98 | ((inverse @ X3) != (sk_c11))
% 9.09/1.98 | ((multiply @ X5 @ X4) != (identity))
% 9.09/1.98 | ((inverse @ X5) != (X4))
% 9.09/1.98 | ((multiply @ X4 @ sk_c11) != (identity))
% 9.09/1.98 | ((inverse @ X6) != (X7))
% 9.09/1.98 | ((inverse @ X7) != (X4))
% 9.09/1.98 | ((multiply @ X6 @ X4) != (X7)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl3683, zip_derived_cl6690])).
% 9.09/1.98 thf(zip_derived_cl6714, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 9.09/1.98 (((multiply @ X6 @ X4) != (X7))
% 9.09/1.98 | ((inverse @ X7) != (X4))
% 9.09/1.98 | ((inverse @ X6) != (X7))
% 9.09/1.98 | ((multiply @ X4 @ sk_c11) != (identity))
% 9.09/1.98 | ((inverse @ X5) != (X4))
% 9.09/1.98 | ((multiply @ X5 @ X4) != (identity))
% 9.09/1.98 | ((inverse @ X3) != (sk_c11))
% 9.09/1.98 | ((multiply @ X3 @ sk_c11) != (sk_c11))
% 9.09/1.98 | ((inverse @ X2) != (identity))
% 9.09/1.98 | ((X2) != (sk_c11))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((X1) != (sk_c11))
% 9.09/1.98 | ((inverse @ X0) != (sk_c11))
% 9.09/1.98 | ((multiply @ X0 @ sk_c11) != (identity)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl6713])).
% 9.09/1.98 thf(zip_derived_cl6790, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.09/1.98 (((multiply @ X0 @ sk_c11) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (sk_c11))
% 9.09/1.98 | ((X1) != (sk_c11))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((inverse @ sk_c11) != (identity))
% 9.09/1.98 | ((multiply @ X2 @ sk_c11) != (sk_c11))
% 9.09/1.98 | ((inverse @ X2) != (sk_c11))
% 9.09/1.98 | ((multiply @ X4 @ X3) != (identity))
% 9.09/1.98 | ((inverse @ X4) != (X3))
% 9.09/1.98 | ((multiply @ X3 @ sk_c11) != (identity))
% 9.09/1.98 | ((inverse @ X5) != (X6))
% 9.09/1.98 | ((inverse @ X6) != (X3))
% 9.09/1.98 | ((multiply @ X5 @ X3) != (X6)))),
% 9.09/1.98 inference('eq_res', [status(thm)], [zip_derived_cl6714])).
% 9.09/1.98 thf(prove_this_41, conjecture,
% 9.09/1.98 (~( ( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c11 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c2 @ sk_c12 ) = ( sk_c3 ) ) ))).
% 9.09/1.98 thf(zf_stmt_9, negated_conjecture,
% 9.09/1.98 (( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c11 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c2 @ sk_c12 ) = ( sk_c3 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_41])).
% 9.09/1.98 thf(zip_derived_cl43, plain,
% 9.09/1.98 ((((multiply @ sk_c4 @ sk_c12) = (sk_c11))
% 9.09/1.98 | ((multiply @ sk_c2 @ sk_c12) = (sk_c3)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_9])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl9773, plain,
% 9.09/1.98 ((((sk_c4) = (sk_c11)) | ((sk_c2) = (sk_c3)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl43, zip_derived_cl3542, zip_derived_cl1456,
% 9.09/1.98 zip_derived_cl3542, zip_derived_cl1456])).
% 9.09/1.98 thf(prove_this_51, conjecture,
% 9.09/1.98 (~( ( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c11 ) ) |
% 9.09/1.98 ( ( inverse @ sk_c2 ) = ( sk_c12 ) ) ))).
% 9.09/1.98 thf(zf_stmt_10, negated_conjecture,
% 9.09/1.98 (( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c11 ) ) |
% 9.09/1.98 ( ( inverse @ sk_c2 ) = ( sk_c12 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_51])).
% 9.09/1.98 thf(zip_derived_cl53, plain,
% 9.09/1.98 ((((multiply @ sk_c4 @ sk_c12) = (sk_c11))
% 9.09/1.98 | ((inverse @ sk_c2) = (sk_c12)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_10])).
% 9.09/1.98 thf(zip_derived_cl1538, plain,
% 9.09/1.98 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl1456, zip_derived_cl190])).
% 9.09/1.98 thf(zip_derived_cl1862, plain,
% 9.09/1.98 ((((sk_c2) = (inverse @ sk_c12))
% 9.09/1.98 | ((multiply @ sk_c4 @ sk_c12) = (sk_c11)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl1538])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1443, plain, (((inverse @ identity) = (identity))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl265, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl3650, plain,
% 9.09/1.98 ((((sk_c2) = (identity)) | ((sk_c4) = (sk_c11)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl1862, zip_derived_cl3542, zip_derived_cl1443,
% 9.09/1.98 zip_derived_cl3542, zip_derived_cl1456])).
% 9.09/1.98 thf(zip_derived_cl9789, plain,
% 9.09/1.98 ((((sk_c3) = (identity)) | ((sk_c4) = (sk_c11)) | ((sk_c4) = (sk_c11)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl9773, zip_derived_cl3650])).
% 9.09/1.98 thf(zip_derived_cl9819, plain,
% 9.09/1.98 ((((sk_c4) = (sk_c11)) | ((sk_c3) = (identity)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl9789])).
% 9.09/1.98 thf(prove_this_31, conjecture,
% 9.09/1.98 (~( ( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c11 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c12 @ sk_c3 ) = ( sk_c11 ) ) ))).
% 9.09/1.98 thf(zf_stmt_11, negated_conjecture,
% 9.09/1.98 (( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c11 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c12 @ sk_c3 ) = ( sk_c11 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 9.09/1.98 thf(zip_derived_cl33, plain,
% 9.09/1.98 ((((multiply @ sk_c4 @ sk_c12) = (sk_c11))
% 9.09/1.98 | ((multiply @ sk_c12 @ sk_c3) = (sk_c11)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_11])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl0, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_identity])).
% 9.09/1.98 thf(zip_derived_cl3573, plain,
% 9.09/1.98 ((((sk_c4) = (sk_c11)) | ((sk_c3) = (sk_c11)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl33, zip_derived_cl3542, zip_derived_cl1456,
% 9.09/1.98 zip_derived_cl3542, zip_derived_cl0])).
% 9.09/1.98 thf(zip_derived_cl9825, plain,
% 9.09/1.98 ((((identity) = (sk_c11)) | ((sk_c4) = (sk_c11)) | ((sk_c4) = (sk_c11)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl9819, zip_derived_cl3573])).
% 9.09/1.98 thf(zip_derived_cl9859, plain,
% 9.09/1.98 ((((sk_c4) = (sk_c11)) | ((identity) = (sk_c11)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl9825])).
% 9.09/1.98 thf(prove_this_52, conjecture,
% 9.09/1.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c12 ) ) |
% 9.09/1.98 ( ( inverse @ sk_c2 ) = ( sk_c12 ) ) ))).
% 9.09/1.98 thf(zf_stmt_12, negated_conjecture,
% 9.09/1.98 (( ( inverse @ sk_c4 ) = ( sk_c12 ) ) |
% 9.09/1.98 ( ( inverse @ sk_c2 ) = ( sk_c12 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_52])).
% 9.09/1.98 thf(zip_derived_cl54, plain,
% 9.09/1.98 ((((inverse @ sk_c4) = (sk_c12)) | ((inverse @ sk_c2) = (sk_c12)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_12])).
% 9.09/1.98 thf(zip_derived_cl1, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.09/1.98 thf(zip_derived_cl81, plain,
% 9.09/1.98 ((((multiply @ sk_c12 @ sk_c2) = (identity))
% 9.09/1.98 | ((inverse @ sk_c4) = (sk_c12)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl167, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i]:
% 9.09/1.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 9.09/1.98 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl0])).
% 9.09/1.98 thf(zip_derived_cl212, plain,
% 9.09/1.98 ((((sk_c2) = (multiply @ (inverse @ sk_c12) @ identity))
% 9.09/1.98 | ((inverse @ sk_c4) = (sk_c12)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl167])).
% 9.09/1.98 thf(prove_this_42, conjecture,
% 9.09/1.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c2 @ sk_c12 ) = ( sk_c3 ) ) ))).
% 9.09/1.98 thf(zf_stmt_13, negated_conjecture,
% 9.09/1.98 (( ( inverse @ sk_c4 ) = ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c2 @ sk_c12 ) = ( sk_c3 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_42])).
% 9.09/1.98 thf(zip_derived_cl44, plain,
% 9.09/1.98 ((((inverse @ sk_c4) = (sk_c12))
% 9.09/1.98 | ((multiply @ sk_c2 @ sk_c12) = (sk_c3)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 9.09/1.98 thf(zip_derived_cl946, plain,
% 9.09/1.98 ((((multiply @ (multiply @ (inverse @ sk_c12) @ identity) @ sk_c12)
% 9.09/1.98 = (sk_c3))
% 9.09/1.98 | ((inverse @ sk_c4) = (sk_c12))
% 9.09/1.98 | ((inverse @ sk_c4) = (sk_c12)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl44])).
% 9.09/1.98 thf(zip_derived_cl2, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.09/1.98 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 9.09/1.98 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 9.09/1.98 inference('cnf', [status(esa)], [associativity])).
% 9.09/1.98 thf(zip_derived_cl0, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_identity])).
% 9.09/1.98 thf(zip_derived_cl1, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.09/1.98 thf(zip_derived_cl968, plain,
% 9.09/1.98 ((((identity) = (sk_c3))
% 9.09/1.98 | ((inverse @ sk_c4) = (sk_c12))
% 9.09/1.98 | ((inverse @ sk_c4) = (sk_c12)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl946, zip_derived_cl2, zip_derived_cl0,
% 9.09/1.98 zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl969, plain,
% 9.09/1.98 ((((inverse @ sk_c4) = (sk_c12)) | ((identity) = (sk_c3)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl968])).
% 9.09/1.98 thf(prove_this_32, conjecture,
% 9.09/1.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c12 @ sk_c3 ) = ( sk_c11 ) ) ))).
% 9.09/1.98 thf(zf_stmt_14, negated_conjecture,
% 9.09/1.98 (( ( inverse @ sk_c4 ) = ( sk_c12 ) ) |
% 9.09/1.98 ( ( multiply @ sk_c12 @ sk_c3 ) = ( sk_c11 ) )),
% 9.09/1.98 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 9.09/1.98 thf(zip_derived_cl34, plain,
% 9.09/1.98 ((((inverse @ sk_c4) = (sk_c12))
% 9.09/1.98 | ((multiply @ sk_c12 @ sk_c3) = (sk_c11)))),
% 9.09/1.98 inference('cnf', [status(esa)], [zf_stmt_14])).
% 9.09/1.98 thf(zip_derived_cl978, plain,
% 9.09/1.98 ((((multiply @ sk_c12 @ identity) = (sk_c11))
% 9.09/1.98 | ((inverse @ sk_c4) = (sk_c12))
% 9.09/1.98 | ((inverse @ sk_c4) = (sk_c12)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl969, zip_derived_cl34])).
% 9.09/1.98 thf(zip_derived_cl992, plain,
% 9.09/1.98 ((((inverse @ sk_c4) = (sk_c12))
% 9.09/1.98 | ((multiply @ sk_c12 @ identity) = (sk_c11)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl978])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl1525, plain,
% 9.09/1.98 ((((inverse @ sk_c4) = (sk_c12)) | ((sk_c12) = (sk_c11)))),
% 9.09/1.98 inference('demod', [status(thm)], [zip_derived_cl992, zip_derived_cl1456])).
% 9.09/1.98 thf(zip_derived_cl1, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_inverse])).
% 9.09/1.98 thf(zip_derived_cl1952, plain,
% 9.09/1.98 ((((multiply @ sk_c12 @ sk_c4) = (identity)) | ((sk_c12) = (sk_c11)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl1525, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl0, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 9.09/1.98 inference('cnf', [status(esa)], [left_identity])).
% 9.09/1.98 thf(zip_derived_cl3542, plain, (((identity) = (sk_c12))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 9.09/1.98 thf(zip_derived_cl3659, plain,
% 9.09/1.98 ((((sk_c4) = (identity)) | ((identity) = (sk_c11)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl1952, zip_derived_cl3542, zip_derived_cl0,
% 9.09/1.98 zip_derived_cl3542])).
% 9.09/1.98 thf(zip_derived_cl9879, plain,
% 9.09/1.98 ((((sk_c11) = (identity))
% 9.09/1.98 | ((identity) = (sk_c11))
% 9.09/1.98 | ((identity) = (sk_c11)))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl9859, zip_derived_cl3659])).
% 9.09/1.98 thf(zip_derived_cl9892, plain, (((sk_c11) = (identity))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl9879])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl9892, plain, (((sk_c11) = (identity))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl9879])).
% 9.09/1.98 thf(zip_derived_cl9892, plain, (((sk_c11) = (identity))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl9879])).
% 9.09/1.98 thf(zip_derived_cl9892, plain, (((sk_c11) = (identity))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl9879])).
% 9.09/1.98 thf(zip_derived_cl1443, plain, (((inverse @ identity) = (identity))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl265, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl9892, plain, (((sk_c11) = (identity))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl9879])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl9892, plain, (((sk_c11) = (identity))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl9879])).
% 9.09/1.98 thf(zip_derived_cl9892, plain, (((sk_c11) = (identity))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl9879])).
% 9.09/1.98 thf(zip_derived_cl9892, plain, (((sk_c11) = (identity))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl9879])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl9994, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.09/1.98 (((X0) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((X1) != (identity))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((identity) != (identity))
% 9.09/1.98 | ((X2) != (identity))
% 9.09/1.98 | ((inverse @ X2) != (identity))
% 9.09/1.98 | ((multiply @ X4 @ X3) != (identity))
% 9.09/1.98 | ((inverse @ X4) != (X3))
% 9.09/1.98 | ((X3) != (identity))
% 9.09/1.98 | ((inverse @ X5) != (X6))
% 9.09/1.98 | ((inverse @ X6) != (X3))
% 9.09/1.98 | ((multiply @ X5 @ X3) != (X6)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl6790, zip_derived_cl9892, zip_derived_cl1456,
% 9.09/1.98 zip_derived_cl9892, zip_derived_cl9892, zip_derived_cl9892,
% 9.09/1.98 zip_derived_cl1443, zip_derived_cl9892, zip_derived_cl1456,
% 9.09/1.98 zip_derived_cl9892, zip_derived_cl9892, zip_derived_cl9892,
% 9.09/1.98 zip_derived_cl1456])).
% 9.09/1.98 thf(zip_derived_cl9995, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 9.09/1.98 (((multiply @ X5 @ X3) != (X6))
% 9.09/1.98 | ((inverse @ X6) != (X3))
% 9.09/1.98 | ((inverse @ X5) != (X6))
% 9.09/1.98 | ((X3) != (identity))
% 9.09/1.98 | ((inverse @ X4) != (X3))
% 9.09/1.98 | ((multiply @ X4 @ X3) != (identity))
% 9.09/1.98 | ((inverse @ X2) != (identity))
% 9.09/1.98 | ((X2) != (identity))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((X1) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((X0) != (identity)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl9994])).
% 9.09/1.98 thf(zip_derived_cl10134, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.09/1.98 (((X0) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((X1) != (identity))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((X2) != (identity))
% 9.09/1.98 | ((inverse @ X2) != (identity))
% 9.09/1.98 | ((multiply @ X3 @ identity) != (identity))
% 9.09/1.98 | ((inverse @ X3) != (identity))
% 9.09/1.98 | ((inverse @ X4) != (X5))
% 9.09/1.98 | ((inverse @ X5) != (identity))
% 9.09/1.98 | ((multiply @ X4 @ identity) != (X5)))),
% 9.09/1.98 inference('eq_res', [status(thm)], [zip_derived_cl9995])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl1456, plain,
% 9.09/1.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl187])).
% 9.09/1.98 thf(zip_derived_cl10135, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.09/1.98 (((X0) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((X1) != (identity))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((X2) != (identity))
% 9.09/1.98 | ((inverse @ X2) != (identity))
% 9.09/1.98 | ((X3) != (identity))
% 9.09/1.98 | ((inverse @ X3) != (identity))
% 9.09/1.98 | ((inverse @ X4) != (X5))
% 9.09/1.98 | ((inverse @ X5) != (identity))
% 9.09/1.98 | ((X4) != (X5)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl10134, zip_derived_cl1456, zip_derived_cl1456])).
% 9.09/1.98 thf(zip_derived_cl10136, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.09/1.98 (((inverse @ X0) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (X0))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((X1) != (identity))
% 9.09/1.98 | ((inverse @ X2) != (identity))
% 9.09/1.98 | ((X2) != (identity))
% 9.09/1.98 | ((inverse @ X3) != (identity))
% 9.09/1.98 | ((X3) != (identity))
% 9.09/1.98 | ((inverse @ X4) != (identity))
% 9.09/1.98 | ((X4) != (identity)))),
% 9.09/1.98 inference('eq_res', [status(thm)], [zip_derived_cl10135])).
% 9.09/1.98 thf(zip_derived_cl10137, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.09/1.98 (((X0) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((X1) != (identity))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((X2) != (identity))
% 9.09/1.98 | ((inverse @ X2) != (identity))
% 9.09/1.98 | ((inverse @ identity) != (identity))
% 9.09/1.98 | ((inverse @ X3) != (X3))
% 9.09/1.98 | ((inverse @ X3) != (identity)))),
% 9.09/1.98 inference('eq_res', [status(thm)], [zip_derived_cl10136])).
% 9.09/1.98 thf(zip_derived_cl1443, plain, (((inverse @ identity) = (identity))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl265, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl10138, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.09/1.98 (((X0) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((X1) != (identity))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((X2) != (identity))
% 9.09/1.98 | ((inverse @ X2) != (identity))
% 9.09/1.98 | ((identity) != (identity))
% 9.09/1.98 | ((inverse @ X3) != (X3))
% 9.09/1.98 | ((inverse @ X3) != (identity)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl10137, zip_derived_cl1443])).
% 9.09/1.98 thf(zip_derived_cl10139, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.09/1.98 (((inverse @ X3) != (identity))
% 9.09/1.98 | ((inverse @ X3) != (X3))
% 9.09/1.98 | ((inverse @ X2) != (identity))
% 9.09/1.98 | ((X2) != (identity))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((X1) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((X0) != (identity)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl10138])).
% 9.09/1.98 thf(zip_derived_cl10140, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.09/1.98 (((X0) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((X1) != (identity))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((inverse @ identity) != (identity))
% 9.09/1.98 | ((inverse @ X2) != (X2))
% 9.09/1.98 | ((inverse @ X2) != (identity)))),
% 9.09/1.98 inference('eq_res', [status(thm)], [zip_derived_cl10139])).
% 9.09/1.98 thf(zip_derived_cl1443, plain, (((inverse @ identity) = (identity))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl265, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl10141, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.09/1.98 (((X0) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((X1) != (identity))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((identity) != (identity))
% 9.09/1.98 | ((inverse @ X2) != (X2))
% 9.09/1.98 | ((inverse @ X2) != (identity)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl10140, zip_derived_cl1443])).
% 9.09/1.98 thf(zip_derived_cl10142, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.09/1.98 (((inverse @ X2) != (identity))
% 9.09/1.98 | ((inverse @ X2) != (X2))
% 9.09/1.98 | ((inverse @ X1) != (identity))
% 9.09/1.98 | ((X1) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((X0) != (identity)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl10141])).
% 9.09/1.98 thf(zip_derived_cl10143, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i]:
% 9.09/1.98 (((X0) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((inverse @ identity) != (identity))
% 9.09/1.98 | ((inverse @ X1) != (X1))
% 9.09/1.98 | ((inverse @ X1) != (identity)))),
% 9.09/1.98 inference('eq_res', [status(thm)], [zip_derived_cl10142])).
% 9.09/1.98 thf(zip_derived_cl1443, plain, (((inverse @ identity) = (identity))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl265, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl10144, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i]:
% 9.09/1.98 (((X0) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((identity) != (identity))
% 9.09/1.98 | ((inverse @ X1) != (X1))
% 9.09/1.98 | ((inverse @ X1) != (identity)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl10143, zip_derived_cl1443])).
% 9.09/1.98 thf(zip_derived_cl10145, plain,
% 9.09/1.98 (![X0 : $i, X1 : $i]:
% 9.09/1.98 (((inverse @ X1) != (identity))
% 9.09/1.98 | ((inverse @ X1) != (X1))
% 9.09/1.98 | ((inverse @ X0) != (identity))
% 9.09/1.98 | ((X0) != (identity)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl10144])).
% 9.09/1.98 thf(zip_derived_cl10354, plain,
% 9.09/1.98 (![X0 : $i]:
% 9.09/1.98 (((inverse @ identity) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (X0))
% 9.09/1.98 | ((inverse @ X0) != (identity)))),
% 9.09/1.98 inference('eq_res', [status(thm)], [zip_derived_cl10145])).
% 9.09/1.98 thf(zip_derived_cl1443, plain, (((inverse @ identity) = (identity))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl265, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl10355, plain,
% 9.09/1.98 (![X0 : $i]:
% 9.09/1.98 (((identity) != (identity))
% 9.09/1.98 | ((inverse @ X0) != (X0))
% 9.09/1.98 | ((inverse @ X0) != (identity)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl10354, zip_derived_cl1443])).
% 9.09/1.98 thf(zip_derived_cl10356, plain,
% 9.09/1.98 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((inverse @ X0) != (X0)))),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl10355])).
% 9.09/1.98 thf(zip_derived_cl10357, plain,
% 9.09/1.98 ((((identity) != (identity)) | ((inverse @ identity) != (identity)))),
% 9.09/1.98 inference('sup-', [status(thm)],
% 9.09/1.98 [zip_derived_cl1443, zip_derived_cl10356])).
% 9.09/1.98 thf(zip_derived_cl1443, plain, (((inverse @ identity) = (identity))),
% 9.09/1.98 inference('sup+', [status(thm)], [zip_derived_cl265, zip_derived_cl1])).
% 9.09/1.98 thf(zip_derived_cl10377, plain,
% 9.09/1.98 ((((identity) != (identity)) | ((identity) != (identity)))),
% 9.09/1.98 inference('demod', [status(thm)],
% 9.09/1.98 [zip_derived_cl10357, zip_derived_cl1443])).
% 9.09/1.98 thf(zip_derived_cl10378, plain, ($false),
% 9.09/1.98 inference('simplify', [status(thm)], [zip_derived_cl10377])).
% 9.09/1.98
% 9.09/1.98 % SZS output end Refutation
% 9.09/1.98
% 9.09/1.98
% 9.09/1.98 % Terminating...
% 9.84/2.11 % Runner terminated.
% 9.84/2.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------