TSTP Solution File: GRP211-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP211-1 : 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.Zpy0YDMEJY true
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:50:44 EDT 2023
% Result : Unsatisfiable 1.28s 0.92s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP211-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zpy0YDMEJY true
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:01:53 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.34 % Number of cores: 8
% 0.20/0.34 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.97/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.97/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.92 % Solved by fo/fo7.sh.
% 1.28/0.92 % done 409 iterations in 0.137s
% 1.28/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/0.92 % SZS output start Refutation
% 1.28/0.92 thf(sk_c5_type, type, sk_c5: $i).
% 1.28/0.92 thf(sk_c8_type, type, sk_c8: $i).
% 1.28/0.92 thf(sk_c6_type, type, sk_c6: $i).
% 1.28/0.92 thf(sk_c7_type, type, sk_c7: $i).
% 1.28/0.92 thf(identity_type, type, identity: $i).
% 1.28/0.92 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.28/0.92 thf(sk_c2_type, type, sk_c2: $i).
% 1.28/0.92 thf(inverse_type, type, inverse: $i > $i).
% 1.28/0.92 thf(sk_c4_type, type, sk_c4: $i).
% 1.28/0.92 thf(sk_c3_type, type, sk_c3: $i).
% 1.28/0.92 thf(sk_c1_type, type, sk_c1: $i).
% 1.28/0.92 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(associativity, axiom,
% 1.28/0.92 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.28/0.92 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.28/0.92 thf(zip_derived_cl2, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.28/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.28/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.28/0.92 thf(zip_derived_cl62, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((multiply @ identity @ X0)
% 1.28/0.92 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.28/0.92 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.28/0.92 thf(zip_derived_cl0, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.92 thf(zip_derived_cl80, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl92, plain,
% 1.28/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl80])).
% 1.28/0.92 thf(zip_derived_cl80, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl80, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl89, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl80])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl92, plain,
% 1.28/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl80])).
% 1.28/0.92 thf(zip_derived_cl434, plain,
% 1.28/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl92])).
% 1.28/0.92 thf(prove_this_26, conjecture,
% 1.28/0.92 (~( ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 1.28/0.92 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.28/0.92 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ X6 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.28/0.92 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ X5 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.28/0.92 ( ( inverse @ X4 ) != ( X5 ) ) |
% 1.28/0.92 ( ( multiply @ X4 @ X5 ) != ( sk_c8 ) ) ))).
% 1.28/0.92 thf(zf_stmt_0, negated_conjecture,
% 1.28/0.92 (( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 1.28/0.92 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.28/0.92 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ X6 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.28/0.92 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ X5 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.28/0.92 ( ( inverse @ X4 ) != ( X5 ) ) | ( ( multiply @ X4 @ X5 ) != ( sk_c8 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.28/0.92 thf(zip_derived_cl28, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.28/0.92 (((inverse @ X0) != (sk_c8))
% 1.28/0.92 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.28/0.92 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 1.28/0.92 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X2) != (sk_c8))
% 1.28/0.92 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X3) != (sk_c8))
% 1.28/0.92 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X5) != (X4))
% 1.28/0.92 | ((multiply @ X5 @ X4) != (sk_c8)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.28/0.92 thf(zip_derived_cl440, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.28/0.92 (((X0) != (sk_c8))
% 1.28/0.92 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.28/0.92 | ((inverse @ X2) != (X1))
% 1.28/0.92 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X3) != (sk_c8))
% 1.28/0.92 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X4) != (sk_c8))
% 1.28/0.92 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((multiply @ sk_c8 @ X5) != (sk_c7))
% 1.28/0.92 | ((multiply @ (inverse @ X0) @ sk_c8) != (X5)))),
% 1.28/0.92 inference('sup-', [status(thm)], [zip_derived_cl434, zip_derived_cl28])).
% 1.28/0.92 thf(zip_derived_cl563, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.28/0.92 (((multiply @ (inverse @ sk_c8) @ sk_c8) != (X0))
% 1.28/0.92 | ((multiply @ sk_c8 @ X0) != (sk_c7))
% 1.28/0.92 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X1) != (sk_c8))
% 1.28/0.92 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X2) != (sk_c8))
% 1.28/0.92 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X4) != (X3))
% 1.28/0.92 | ((multiply @ X4 @ X3) != (sk_c8)))),
% 1.28/0.92 inference('eq_res', [status(thm)], [zip_derived_cl440])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl564, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.28/0.92 (((identity) != (X0))
% 1.28/0.92 | ((multiply @ sk_c8 @ X0) != (sk_c7))
% 1.28/0.92 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X1) != (sk_c8))
% 1.28/0.92 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X2) != (sk_c8))
% 1.28/0.92 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X4) != (X3))
% 1.28/0.92 | ((multiply @ X4 @ X3) != (sk_c8)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl563, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl565, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.92 (((multiply @ X1 @ X0) != (sk_c8))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((multiply @ X0 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X2) != (sk_c8))
% 1.28/0.92 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((inverse @ X3) != (sk_c8))
% 1.28/0.92 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 1.28/0.92 | ((multiply @ sk_c8 @ identity) != (sk_c7)))),
% 1.28/0.92 inference('eq_res', [status(thm)], [zip_derived_cl564])).
% 1.28/0.92 thf(zip_derived_cl566, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.92 (((multiply @ X1 @ X0) != (sk_c8))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((multiply @ X0 @ (multiply @ sk_c8 @ identity)) != (sk_c8))
% 1.28/0.92 | ((inverse @ X2) != (sk_c8))
% 1.28/0.92 | ((multiply @ X2 @ (multiply @ sk_c8 @ identity)) != (sk_c8))
% 1.28/0.92 | ((inverse @ X3) != (sk_c8))
% 1.28/0.92 | ((multiply @ X3 @ (multiply @ sk_c8 @ identity)) != (sk_c8))
% 1.28/0.92 | ((multiply @ sk_c8 @ identity) != (sk_c7)))),
% 1.28/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl565])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl567, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.92 (((multiply @ X1 @ X0) != (sk_c8))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((multiply @ X0 @ sk_c8) != (sk_c8))
% 1.28/0.92 | ((inverse @ X2) != (sk_c8))
% 1.28/0.92 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 1.28/0.92 | ((inverse @ X3) != (sk_c8))
% 1.28/0.92 | ((multiply @ X3 @ sk_c8) != (sk_c8))
% 1.28/0.92 | ((sk_c8) != (sk_c7)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl566, zip_derived_cl407, zip_derived_cl407,
% 1.28/0.92 zip_derived_cl407, zip_derived_cl407])).
% 1.28/0.92 thf(prove_this_1, conjecture,
% 1.28/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.28/0.92 thf(zf_stmt_1, negated_conjecture,
% 1.28/0.92 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.28/0.92 thf(zip_derived_cl3, plain,
% 1.28/0.92 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl35, plain,
% 1.28/0.92 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl80, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl95, plain,
% 1.28/0.92 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl80])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl421, plain,
% 1.28/0.92 ((((sk_c4) = (inverse @ sk_c8)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl407])).
% 1.28/0.92 thf(prove_this_6, conjecture,
% 1.28/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 1.28/0.92 thf(zf_stmt_2, negated_conjecture,
% 1.28/0.92 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.28/0.92 thf(zip_derived_cl8, plain,
% 1.28/0.92 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl36, plain,
% 1.28/0.92 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl80, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl96, plain,
% 1.28/0.92 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl80])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl422, plain,
% 1.28/0.92 ((((sk_c4) = (inverse @ sk_c8)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl407])).
% 1.28/0.92 thf(prove_this_10, conjecture,
% 1.28/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 1.28/0.92 thf(zf_stmt_3, negated_conjecture,
% 1.28/0.92 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.28/0.92 thf(zip_derived_cl12, plain,
% 1.28/0.92 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl37, plain,
% 1.28/0.92 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl80, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl99, plain,
% 1.28/0.92 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl80])).
% 1.28/0.92 thf(prove_this_9, conjecture,
% 1.28/0.92 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 1.28/0.92 thf(zf_stmt_4, negated_conjecture,
% 1.28/0.92 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.28/0.92 thf(zip_derived_cl11, plain,
% 1.28/0.92 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.28/0.92 thf(zip_derived_cl139, plain,
% 1.28/0.92 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.28/0.92 = (sk_c6))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl11])).
% 1.28/0.92 thf(zip_derived_cl2, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.28/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.28/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.28/0.92 thf(zip_derived_cl0, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl145, plain,
% 1.28/0.92 ((((identity) = (sk_c6))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl139, zip_derived_cl2, zip_derived_cl0,
% 1.28/0.92 zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl146, plain,
% 1.28/0.92 ((((inverse @ sk_c1) = (sk_c2)) | ((identity) = (sk_c6)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl145])).
% 1.28/0.92 thf(prove_this_8, conjecture,
% 1.28/0.92 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 1.28/0.92 thf(zf_stmt_5, negated_conjecture,
% 1.28/0.92 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.28/0.92 thf(zip_derived_cl10, plain,
% 1.28/0.92 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.28/0.92 thf(zip_derived_cl80, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl98, plain,
% 1.28/0.92 ((((sk_c6) = (multiply @ (inverse @ sk_c8) @ sk_c7))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl80])).
% 1.28/0.92 thf(zip_derived_cl151, plain,
% 1.28/0.92 ((((identity) = (multiply @ (inverse @ sk_c8) @ sk_c7))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl146, zip_derived_cl98])).
% 1.28/0.92 thf(zip_derived_cl153, plain,
% 1.28/0.92 ((((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((identity) = (multiply @ (inverse @ sk_c8) @ sk_c7)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl151])).
% 1.28/0.92 thf(zip_derived_cl80, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl351, plain,
% 1.28/0.92 ((((sk_c7) = (multiply @ (inverse @ (inverse @ sk_c8)) @ identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl80])).
% 1.28/0.92 thf(zip_derived_cl92, plain,
% 1.28/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl80])).
% 1.28/0.92 thf(zip_derived_cl360, plain,
% 1.28/0.92 ((((sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl351, zip_derived_cl92])).
% 1.28/0.92 thf(prove_this_7, conjecture,
% 1.28/0.92 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 1.28/0.92 thf(zf_stmt_6, negated_conjecture,
% 1.28/0.92 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.28/0.92 thf(zip_derived_cl9, plain,
% 1.28/0.92 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.28/0.92 thf(zip_derived_cl362, plain,
% 1.28/0.92 ((((multiply @ sk_c4 @ sk_c8) = (sk_c8))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl360, zip_derived_cl9])).
% 1.28/0.92 thf(zip_derived_cl376, plain,
% 1.28/0.92 ((((inverse @ sk_c1) = (sk_c2)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c8)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl362])).
% 1.28/0.92 thf(zip_derived_cl462, plain,
% 1.28/0.92 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl422, zip_derived_cl376])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl466, plain,
% 1.28/0.92 ((((identity) = (sk_c8))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl462, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl467, plain,
% 1.28/0.92 ((((inverse @ sk_c1) = (sk_c2)) | ((identity) = (sk_c8)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl466])).
% 1.28/0.92 thf(zip_derived_cl467, plain,
% 1.28/0.92 ((((inverse @ sk_c1) = (sk_c2)) | ((identity) = (sk_c8)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl466])).
% 1.28/0.92 thf(zip_derived_cl153, plain,
% 1.28/0.92 ((((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((identity) = (multiply @ (inverse @ sk_c8) @ sk_c7)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl151])).
% 1.28/0.92 thf(zip_derived_cl482, plain,
% 1.28/0.92 ((((identity) = (multiply @ (inverse @ identity) @ sk_c7))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl467, zip_derived_cl153])).
% 1.28/0.92 thf(zip_derived_cl0, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.92 thf(zip_derived_cl80, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl91, plain,
% 1.28/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl80])).
% 1.28/0.92 thf(zip_derived_cl80, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl122, plain,
% 1.28/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl80])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl321, plain, (((inverse @ identity) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl0, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.92 thf(zip_derived_cl489, plain,
% 1.28/0.92 ((((identity) = (sk_c7))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl482, zip_derived_cl321, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl490, plain,
% 1.28/0.92 ((((inverse @ sk_c1) = (sk_c2)) | ((identity) = (sk_c7)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl489])).
% 1.28/0.92 thf(zip_derived_cl567, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.92 (((multiply @ X1 @ X0) != (sk_c8))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((multiply @ X0 @ sk_c8) != (sk_c8))
% 1.28/0.92 | ((inverse @ X2) != (sk_c8))
% 1.28/0.92 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 1.28/0.92 | ((inverse @ X3) != (sk_c8))
% 1.28/0.92 | ((multiply @ X3 @ sk_c8) != (sk_c8))
% 1.28/0.92 | ((sk_c8) != (sk_c7)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl566, zip_derived_cl407, zip_derived_cl407,
% 1.28/0.92 zip_derived_cl407, zip_derived_cl407])).
% 1.28/0.92 thf(zip_derived_cl572, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.92 (((sk_c8) != (identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((multiply @ X0 @ sk_c8) != (sk_c8))
% 1.28/0.92 | ((inverse @ X0) != (sk_c8))
% 1.28/0.92 | ((multiply @ X1 @ sk_c8) != (sk_c8))
% 1.28/0.92 | ((inverse @ X1) != (sk_c8))
% 1.28/0.92 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 1.28/0.92 | ((inverse @ X3) != (X2))
% 1.28/0.92 | ((multiply @ X3 @ X2) != (sk_c8)))),
% 1.28/0.92 inference('sup-', [status(thm)], [zip_derived_cl490, zip_derived_cl567])).
% 1.28/0.92 thf(zip_derived_cl574, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.92 (((sk_c8) != (identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((multiply @ X0 @ identity) != (identity))
% 1.28/0.92 | ((inverse @ X0) != (identity))
% 1.28/0.92 | ((multiply @ X1 @ identity) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (identity))
% 1.28/0.92 | ((multiply @ X2 @ identity) != (identity))
% 1.28/0.92 | ((inverse @ X3) != (X2))
% 1.28/0.92 | ((multiply @ X3 @ X2) != (identity)))),
% 1.28/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl572])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl1075, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.92 (((sk_c8) != (identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X0) != (identity))
% 1.28/0.92 | ((X1) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (identity))
% 1.28/0.92 | ((X2) != (identity))
% 1.28/0.92 | ((inverse @ X3) != (X2))
% 1.28/0.92 | ((multiply @ X3 @ X2) != (identity)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl574, zip_derived_cl407, zip_derived_cl407,
% 1.28/0.92 zip_derived_cl407])).
% 1.28/0.92 thf(zip_derived_cl1076, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.92 (((identity) != (identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X2) != (identity))
% 1.28/0.92 | ((X2) != (identity))
% 1.28/0.92 | ((inverse @ X3) != (identity))
% 1.28/0.92 | ((X3) != (identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('sup-', [status(thm)], [zip_derived_cl467, zip_derived_cl1075])).
% 1.28/0.92 thf(zip_derived_cl1077, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.92 (((X3) != (identity))
% 1.28/0.92 | ((inverse @ X3) != (identity))
% 1.28/0.92 | ((X2) != (identity))
% 1.28/0.92 | ((inverse @ X2) != (identity))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1076])).
% 1.28/0.92 thf(zip_derived_cl1078, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.92 (((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X2) != (identity))
% 1.28/0.92 | ((X2) != (identity))
% 1.28/0.92 | ((inverse @ identity) != (identity)))),
% 1.28/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1077])).
% 1.28/0.92 thf(zip_derived_cl321, plain, (((inverse @ identity) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1079, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.92 (((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X2) != (identity))
% 1.28/0.92 | ((X2) != (identity))
% 1.28/0.92 | ((identity) != (identity)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1078, zip_derived_cl321])).
% 1.28/0.92 thf(zip_derived_cl1080, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.92 (((X2) != (identity))
% 1.28/0.92 | ((inverse @ X2) != (identity))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1079])).
% 1.28/0.92 thf(zip_derived_cl1081, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 (((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ identity) != (identity)))),
% 1.28/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1080])).
% 1.28/0.92 thf(zip_derived_cl321, plain, (((inverse @ identity) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1082, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 (((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((identity) != (identity)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1081, zip_derived_cl321])).
% 1.28/0.92 thf(zip_derived_cl1083, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 (((X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1082])).
% 1.28/0.92 thf(zip_derived_cl1084, plain,
% 1.28/0.92 (![X0 : $i]:
% 1.28/0.92 (((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((multiply @ X0 @ identity) != (identity))
% 1.28/0.92 | ((inverse @ X0) != (identity)))),
% 1.28/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1083])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl1085, plain,
% 1.28/0.92 (![X0 : $i]:
% 1.28/0.92 (((inverse @ sk_c1) = (sk_c2))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X0) != (identity)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1084, zip_derived_cl407])).
% 1.28/0.92 thf(zip_derived_cl1086, plain,
% 1.28/0.92 ((((inverse @ identity) != (identity)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1085])).
% 1.28/0.92 thf(zip_derived_cl321, plain, (((inverse @ identity) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1087, plain,
% 1.28/0.92 ((((identity) != (identity)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1086, zip_derived_cl321])).
% 1.28/0.92 thf(zip_derived_cl1088, plain, (((inverse @ sk_c1) = (sk_c2))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1087])).
% 1.28/0.92 thf(zip_derived_cl434, plain,
% 1.28/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl92])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl439, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl434, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1106, plain,
% 1.28/0.92 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl421, zip_derived_cl1088, zip_derived_cl439])).
% 1.28/0.92 thf(prove_this_5, conjecture,
% 1.28/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.28/0.92 thf(zf_stmt_7, negated_conjecture,
% 1.28/0.92 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.28/0.92 thf(zip_derived_cl7, plain,
% 1.28/0.92 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl38, plain,
% 1.28/0.92 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl80, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl100, plain,
% 1.28/0.92 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl80])).
% 1.28/0.92 thf(prove_this_4, conjecture,
% 1.28/0.92 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.28/0.92 thf(zf_stmt_8, negated_conjecture,
% 1.28/0.92 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.28/0.92 thf(zip_derived_cl6, plain,
% 1.28/0.92 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.28/0.92 thf(zip_derived_cl218, plain,
% 1.28/0.92 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.28/0.92 = (sk_c6))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl6])).
% 1.28/0.92 thf(zip_derived_cl2, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.28/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.28/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.28/0.92 thf(zip_derived_cl0, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl226, plain,
% 1.28/0.92 ((((identity) = (sk_c6))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl218, zip_derived_cl2, zip_derived_cl0,
% 1.28/0.92 zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl227, plain,
% 1.28/0.92 ((((multiply @ sk_c1 @ sk_c2) = (sk_c8)) | ((identity) = (sk_c6)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl226])).
% 1.28/0.92 thf(prove_this_3, conjecture,
% 1.28/0.92 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.28/0.92 thf(zf_stmt_9, negated_conjecture,
% 1.28/0.92 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.28/0.92 thf(zip_derived_cl5, plain,
% 1.28/0.92 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.28/0.92 thf(zip_derived_cl232, plain,
% 1.28/0.92 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl227, zip_derived_cl5])).
% 1.28/0.92 thf(zip_derived_cl237, plain,
% 1.28/0.92 ((((multiply @ sk_c1 @ sk_c2) = (sk_c8))
% 1.28/0.92 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl232])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl428, plain,
% 1.28/0.92 ((((multiply @ sk_c1 @ sk_c2) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl407])).
% 1.28/0.92 thf(zip_derived_cl1088, plain, (((inverse @ sk_c1) = (sk_c2))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1087])).
% 1.28/0.92 thf(zip_derived_cl439, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl434, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1108, plain,
% 1.28/0.92 ((((identity) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl428, zip_derived_cl1088, zip_derived_cl439])).
% 1.28/0.92 thf(prove_this_2, conjecture,
% 1.28/0.92 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.28/0.92 thf(zf_stmt_10, negated_conjecture,
% 1.28/0.92 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.28/0.92 thf(zip_derived_cl4, plain,
% 1.28/0.92 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.28/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.28/0.92 thf(zip_derived_cl1088, plain, (((inverse @ sk_c1) = (sk_c2))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1087])).
% 1.28/0.92 thf(zip_derived_cl439, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl434, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1090, plain,
% 1.28/0.92 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl4, zip_derived_cl1088, zip_derived_cl439])).
% 1.28/0.92 thf(zip_derived_cl1193, plain,
% 1.28/0.92 ((((multiply @ sk_c4 @ sk_c8) = (sk_c8))
% 1.28/0.92 | ((identity) = (sk_c8))
% 1.28/0.92 | ((identity) = (sk_c8)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl1108, zip_derived_cl1090])).
% 1.28/0.92 thf(zip_derived_cl1197, plain,
% 1.28/0.92 ((((identity) = (sk_c8)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c8)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1193])).
% 1.28/0.92 thf(zip_derived_cl1269, plain,
% 1.28/0.92 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 1.28/0.92 | ((identity) = (sk_c8))
% 1.28/0.92 | ((identity) = (sk_c8)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl1106, zip_derived_cl1197])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl1270, plain,
% 1.28/0.92 ((((identity) = (sk_c8))
% 1.28/0.92 | ((identity) = (sk_c8))
% 1.28/0.92 | ((identity) = (sk_c8)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1269, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl1293, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.92 (((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X2) != (identity))
% 1.28/0.92 | ((X2) != (identity))
% 1.28/0.92 | ((inverse @ X3) != (identity))
% 1.28/0.92 | ((X3) != (identity))
% 1.28/0.92 | ((identity) != (sk_c7)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl567, zip_derived_cl1271, zip_derived_cl1271,
% 1.28/0.92 zip_derived_cl407, zip_derived_cl1271, zip_derived_cl1271,
% 1.28/0.92 zip_derived_cl1271, zip_derived_cl407, zip_derived_cl1271,
% 1.28/0.92 zip_derived_cl1271, zip_derived_cl1271, zip_derived_cl407,
% 1.28/0.92 zip_derived_cl1271, zip_derived_cl1271])).
% 1.28/0.92 thf(prove_this_19, conjecture,
% 1.28/0.92 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.28/0.92 thf(zf_stmt_11, negated_conjecture,
% 1.28/0.92 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c3 ) = ( sk_c8 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.28/0.92 thf(zip_derived_cl21, plain,
% 1.28/0.92 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c3) = (sk_c8)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.28/0.92 thf(zip_derived_cl434, plain,
% 1.28/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl92])).
% 1.28/0.92 thf(zip_derived_cl453, plain,
% 1.28/0.92 ((((sk_c3) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl434])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl321, plain, (((inverse @ identity) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl1291, plain,
% 1.28/0.92 ((((sk_c3) = (identity)) | ((sk_c5) = (sk_c6)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl453, zip_derived_cl1271, zip_derived_cl321,
% 1.28/0.92 zip_derived_cl1271, zip_derived_cl407])).
% 1.28/0.92 thf(prove_this_24, conjecture,
% 1.28/0.92 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.28/0.92 thf(zf_stmt_12, negated_conjecture,
% 1.28/0.92 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.28/0.92 thf(zip_derived_cl26, plain,
% 1.28/0.92 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 1.28/0.92 | ((multiply @ sk_c3 @ sk_c7) = (sk_c8)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl1281, plain,
% 1.28/0.92 ((((sk_c5) = (sk_c6)) | ((multiply @ sk_c3 @ sk_c7) = (identity)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl26, zip_derived_cl1271, zip_derived_cl407,
% 1.28/0.92 zip_derived_cl1271])).
% 1.28/0.92 thf(zip_derived_cl1370, plain,
% 1.28/0.92 ((((multiply @ identity @ sk_c7) = (identity))
% 1.28/0.92 | ((sk_c5) = (sk_c6))
% 1.28/0.92 | ((sk_c5) = (sk_c6)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl1291, zip_derived_cl1281])).
% 1.28/0.92 thf(zip_derived_cl0, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.92 thf(zip_derived_cl1374, plain,
% 1.28/0.92 ((((sk_c7) = (identity)) | ((sk_c5) = (sk_c6)) | ((sk_c5) = (sk_c6)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1370, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl1375, plain,
% 1.28/0.92 ((((sk_c5) = (sk_c6)) | ((sk_c7) = (identity)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 1.28/0.92 thf(prove_this_20, conjecture,
% 1.28/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.28/0.92 thf(zf_stmt_13, negated_conjecture,
% 1.28/0.92 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c8 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.28/0.92 thf(zip_derived_cl22, plain,
% 1.28/0.92 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c8)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.28/0.92 thf(zip_derived_cl1, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.28/0.92 thf(zip_derived_cl44, plain,
% 1.28/0.92 ((((multiply @ sk_c8 @ sk_c3) = (identity))
% 1.28/0.92 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl0, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl1285, plain,
% 1.28/0.92 ((((sk_c3) = (identity)) | ((inverse @ sk_c5) = (identity)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl44, zip_derived_cl1271, zip_derived_cl0,
% 1.28/0.92 zip_derived_cl1271])).
% 1.28/0.92 thf(prove_this_25, conjecture,
% 1.28/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.28/0.92 thf(zf_stmt_14, negated_conjecture,
% 1.28/0.92 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.28/0.92 thf(zip_derived_cl27, plain,
% 1.28/0.92 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c8)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl1282, plain,
% 1.28/0.92 ((((inverse @ sk_c5) = (identity))
% 1.28/0.92 | ((multiply @ sk_c3 @ sk_c7) = (identity)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl27, zip_derived_cl1271, zip_derived_cl1271])).
% 1.28/0.92 thf(zip_derived_cl1766, plain,
% 1.28/0.92 ((((multiply @ identity @ sk_c7) = (identity))
% 1.28/0.92 | ((inverse @ sk_c5) = (identity))
% 1.28/0.92 | ((inverse @ sk_c5) = (identity)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl1285, zip_derived_cl1282])).
% 1.28/0.92 thf(zip_derived_cl0, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.92 thf(zip_derived_cl1772, plain,
% 1.28/0.92 ((((sk_c7) = (identity))
% 1.28/0.92 | ((inverse @ sk_c5) = (identity))
% 1.28/0.92 | ((inverse @ sk_c5) = (identity)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1766, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl1773, plain,
% 1.28/0.92 ((((inverse @ sk_c5) = (identity)) | ((sk_c7) = (identity)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1772])).
% 1.28/0.92 thf(zip_derived_cl1784, plain,
% 1.28/0.92 ((((inverse @ sk_c6) = (identity))
% 1.28/0.92 | ((sk_c7) = (identity))
% 1.28/0.92 | ((sk_c7) = (identity)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl1375, zip_derived_cl1773])).
% 1.28/0.92 thf(zip_derived_cl1787, plain,
% 1.28/0.92 ((((sk_c7) = (identity)) | ((inverse @ sk_c6) = (identity)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1784])).
% 1.28/0.92 thf(zip_derived_cl434, plain,
% 1.28/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl92])).
% 1.28/0.92 thf(zip_derived_cl1790, plain,
% 1.28/0.92 ((((sk_c6) = (inverse @ identity)) | ((sk_c7) = (identity)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl1787, zip_derived_cl434])).
% 1.28/0.92 thf(zip_derived_cl321, plain, (((inverse @ identity) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1797, plain,
% 1.28/0.92 ((((sk_c6) = (identity)) | ((sk_c7) = (identity)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1790, zip_derived_cl321])).
% 1.28/0.92 thf(prove_this_18, conjecture,
% 1.28/0.92 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.28/0.92 thf(zf_stmt_15, negated_conjecture,
% 1.28/0.92 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.28/0.92 ( ( inverse @ sk_c3 ) = ( sk_c8 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.28/0.92 thf(zip_derived_cl20, plain,
% 1.28/0.92 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c3) = (sk_c8)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.28/0.92 thf(zip_derived_cl434, plain,
% 1.28/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl92])).
% 1.28/0.92 thf(zip_derived_cl452, plain,
% 1.28/0.92 ((((sk_c3) = (inverse @ sk_c8)) | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl434])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl321, plain, (((inverse @ identity) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl0, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.92 thf(zip_derived_cl1290, plain,
% 1.28/0.92 ((((sk_c3) = (identity)) | ((sk_c6) = (sk_c7)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl452, zip_derived_cl1271, zip_derived_cl321,
% 1.28/0.92 zip_derived_cl1271, zip_derived_cl0])).
% 1.28/0.92 thf(prove_this_23, conjecture,
% 1.28/0.92 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.28/0.92 thf(zf_stmt_16, negated_conjecture,
% 1.28/0.92 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.28/0.92 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) )),
% 1.28/0.92 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 1.28/0.92 thf(zip_derived_cl25, plain,
% 1.28/0.92 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 1.28/0.92 | ((multiply @ sk_c3 @ sk_c7) = (sk_c8)))),
% 1.28/0.92 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl0, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.92 thf(zip_derived_cl1271, plain, (((identity) = (sk_c8))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1270])).
% 1.28/0.92 thf(zip_derived_cl1280, plain,
% 1.28/0.92 ((((sk_c6) = (sk_c7)) | ((multiply @ sk_c3 @ sk_c7) = (identity)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl25, zip_derived_cl1271, zip_derived_cl0,
% 1.28/0.92 zip_derived_cl1271])).
% 1.28/0.92 thf(zip_derived_cl1478, plain,
% 1.28/0.92 ((((multiply @ identity @ sk_c7) = (identity))
% 1.28/0.92 | ((sk_c6) = (sk_c7))
% 1.28/0.92 | ((sk_c6) = (sk_c7)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl1290, zip_derived_cl1280])).
% 1.28/0.92 thf(zip_derived_cl0, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.28/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.28/0.92 thf(zip_derived_cl1484, plain,
% 1.28/0.92 ((((sk_c7) = (identity)) | ((sk_c6) = (sk_c7)) | ((sk_c6) = (sk_c7)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1478, zip_derived_cl0])).
% 1.28/0.92 thf(zip_derived_cl1485, plain,
% 1.28/0.92 ((((sk_c6) = (sk_c7)) | ((sk_c7) = (identity)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.28/0.92 thf(zip_derived_cl1804, plain,
% 1.28/0.92 ((((identity) = (sk_c7))
% 1.28/0.92 | ((sk_c7) = (identity))
% 1.28/0.92 | ((sk_c7) = (identity)))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl1797, zip_derived_cl1485])).
% 1.28/0.92 thf(zip_derived_cl1806, plain, (((identity) = (sk_c7))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1804])).
% 1.28/0.92 thf(zip_derived_cl1821, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.92 (((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X2) != (identity))
% 1.28/0.92 | ((X2) != (identity))
% 1.28/0.92 | ((inverse @ X3) != (identity))
% 1.28/0.92 | ((X3) != (identity))
% 1.28/0.92 | ((identity) != (identity)))),
% 1.28/0.92 inference('demod', [status(thm)],
% 1.28/0.92 [zip_derived_cl1293, zip_derived_cl1806])).
% 1.28/0.92 thf(zip_derived_cl1822, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.28/0.92 (((X3) != (identity))
% 1.28/0.92 | ((inverse @ X3) != (identity))
% 1.28/0.92 | ((X2) != (identity))
% 1.28/0.92 | ((inverse @ X2) != (identity))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((multiply @ X1 @ X0) != (identity)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1821])).
% 1.28/0.92 thf(zip_derived_cl1836, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.92 (((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X2) != (identity))
% 1.28/0.92 | ((X2) != (identity))
% 1.28/0.92 | ((inverse @ identity) != (identity)))),
% 1.28/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1822])).
% 1.28/0.92 thf(zip_derived_cl321, plain, (((inverse @ identity) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1837, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.92 (((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X2) != (identity))
% 1.28/0.92 | ((X2) != (identity))
% 1.28/0.92 | ((identity) != (identity)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1836, zip_derived_cl321])).
% 1.28/0.92 thf(zip_derived_cl1838, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.92 (((X2) != (identity))
% 1.28/0.92 | ((inverse @ X2) != (identity))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((multiply @ X1 @ X0) != (identity)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1837])).
% 1.28/0.92 thf(zip_derived_cl1839, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 (((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((inverse @ identity) != (identity)))),
% 1.28/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1838])).
% 1.28/0.92 thf(zip_derived_cl321, plain, (((inverse @ identity) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1840, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 (((multiply @ X1 @ X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((X0) != (identity))
% 1.28/0.92 | ((identity) != (identity)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1839, zip_derived_cl321])).
% 1.28/0.92 thf(zip_derived_cl1841, plain,
% 1.28/0.92 (![X0 : $i, X1 : $i]:
% 1.28/0.92 (((X0) != (identity))
% 1.28/0.92 | ((inverse @ X1) != (X0))
% 1.28/0.92 | ((multiply @ X1 @ X0) != (identity)))),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1840])).
% 1.28/0.92 thf(zip_derived_cl1902, plain,
% 1.28/0.92 (![X0 : $i]:
% 1.28/0.92 (((multiply @ X0 @ identity) != (identity))
% 1.28/0.92 | ((inverse @ X0) != (identity)))),
% 1.28/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1841])).
% 1.28/0.92 thf(zip_derived_cl407, plain,
% 1.28/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 1.28/0.92 thf(zip_derived_cl1903, plain,
% 1.28/0.92 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1902, zip_derived_cl407])).
% 1.28/0.92 thf(zip_derived_cl1904, plain, (((inverse @ identity) != (identity))),
% 1.28/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1903])).
% 1.28/0.92 thf(zip_derived_cl321, plain, (((inverse @ identity) = (identity))),
% 1.28/0.92 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl1])).
% 1.28/0.92 thf(zip_derived_cl1905, plain, (((identity) != (identity))),
% 1.28/0.92 inference('demod', [status(thm)], [zip_derived_cl1904, zip_derived_cl321])).
% 1.28/0.92 thf(zip_derived_cl1906, plain, ($false),
% 1.28/0.92 inference('simplify', [status(thm)], [zip_derived_cl1905])).
% 1.28/0.92
% 1.28/0.92 % SZS output end Refutation
% 1.28/0.92
% 1.28/0.92
% 1.28/0.92 % Terminating...
% 1.46/0.98 % Runner terminated.
% 1.46/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------