TSTP Solution File: GRP256-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP256-1 : 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.9Aah14fB7t 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 01:50:55 EDT 2023
% Result : Unsatisfiable 1.36s 1.09s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP256-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9Aah14fB7t true
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 01:09:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.08/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.08/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.08/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.08/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.08/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.36/1.09 % Solved by fo/fo7.sh.
% 1.36/1.09 % done 865 iterations in 0.298s
% 1.36/1.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/1.09 % SZS output start Refutation
% 1.36/1.09 thf(sk_c7_type, type, sk_c7: $i).
% 1.36/1.09 thf(sk_c9_type, type, sk_c9: $i).
% 1.36/1.09 thf(sk_c2_type, type, sk_c2: $i).
% 1.36/1.09 thf(sk_c8_type, type, sk_c8: $i).
% 1.36/1.09 thf(sk_c5_type, type, sk_c5: $i).
% 1.36/1.09 thf(identity_type, type, identity: $i).
% 1.36/1.09 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.36/1.09 thf(sk_c10_type, type, sk_c10: $i).
% 1.36/1.09 thf(inverse_type, type, inverse: $i > $i).
% 1.36/1.09 thf(sk_c3_type, type, sk_c3: $i).
% 1.36/1.09 thf(sk_c6_type, type, sk_c6: $i).
% 1.36/1.09 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(associativity, axiom,
% 1.36/1.09 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.36/1.09 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.36/1.09 thf(zip_derived_cl2, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.09 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.36/1.09 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.36/1.09 inference('cnf', [status(esa)], [associativity])).
% 1.36/1.09 thf(zip_derived_cl115, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 ((multiply @ identity @ X0)
% 1.36/1.09 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.36/1.09 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.36/1.09 thf(zip_derived_cl0, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.09 thf(zip_derived_cl147, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl0])).
% 1.36/1.09 thf(zip_derived_cl163, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl147])).
% 1.36/1.09 thf(zip_derived_cl147, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl0])).
% 1.36/1.09 thf(zip_derived_cl147, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl0])).
% 1.36/1.09 thf(zip_derived_cl160, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl147])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl163, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl147])).
% 1.36/1.09 thf(zip_derived_cl1694, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1635, zip_derived_cl163])).
% 1.36/1.09 thf(zip_derived_cl1694, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1635, zip_derived_cl163])).
% 1.36/1.09 thf(zip_derived_cl1694, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1635, zip_derived_cl163])).
% 1.36/1.09 thf(prove_this_43, conjecture,
% 1.36/1.09 (~( ( ( inverse @ X7 ) != ( sk_c9 ) ) |
% 1.36/1.09 ( ( multiply @ X7 @ sk_c9 ) != ( X3 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c9 @ X3 ) != ( sk_c8 ) ) |
% 1.36/1.09 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.36/1.09 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.36/1.09 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 1.36/1.09 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.36/1.09 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.36/1.09 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 1.36/1.09 ( ( inverse @ X5 ) != ( sk_c9 ) ) |
% 1.36/1.09 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.36/1.09 ( ( inverse @ X4 ) != ( sk_c10 ) ) |
% 1.36/1.09 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c9 ) ) ))).
% 1.36/1.09 thf(zf_stmt_0, negated_conjecture,
% 1.36/1.09 (( ( inverse @ X7 ) != ( sk_c9 ) ) |
% 1.36/1.09 ( ( multiply @ X7 @ sk_c9 ) != ( X3 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c9 @ X3 ) != ( sk_c8 ) ) |
% 1.36/1.09 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.36/1.09 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.36/1.09 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 1.36/1.09 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.36/1.09 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.36/1.09 ( ( inverse @ X6 ) != ( sk_c8 ) ) | ( ( inverse @ X5 ) != ( sk_c9 ) ) |
% 1.36/1.09 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.36/1.09 ( ( inverse @ X4 ) != ( sk_c10 ) ) |
% 1.36/1.09 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c9 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_43])).
% 1.36/1.09 thf(zip_derived_cl45, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.36/1.09 (((inverse @ X0) != (sk_c9))
% 1.36/1.09 | ((multiply @ X0 @ sk_c9) != (X1))
% 1.36/1.09 | ((multiply @ sk_c9 @ X1) != (sk_c8))
% 1.36/1.09 | ((inverse @ X2) != (sk_c8))
% 1.36/1.09 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 1.36/1.09 | ((inverse @ X3) != (sk_c10))
% 1.36/1.09 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((multiply @ X4 @ sk_c9) != (sk_c8))
% 1.36/1.09 | ((inverse @ X4) != (sk_c8))
% 1.36/1.09 | ((inverse @ X5) != (sk_c9))
% 1.36/1.09 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 1.36/1.09 | ((inverse @ X6) != (sk_c10))
% 1.36/1.09 | ((multiply @ X6 @ sk_c10) != (sk_c9)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.36/1.09 thf(zip_derived_cl1704, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.36/1.09 (((X0) != (sk_c9))
% 1.36/1.09 | ((multiply @ X1 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((inverse @ X1) != (sk_c10))
% 1.36/1.09 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 1.36/1.09 | ((inverse @ X2) != (sk_c9))
% 1.36/1.09 | ((inverse @ X3) != (sk_c8))
% 1.36/1.09 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 1.36/1.09 | ((multiply @ X4 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((inverse @ X4) != (sk_c10))
% 1.36/1.09 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 1.36/1.09 | ((inverse @ X5) != (sk_c8))
% 1.36/1.09 | ((multiply @ sk_c9 @ X6) != (sk_c8))
% 1.36/1.09 | ((multiply @ (inverse @ X0) @ sk_c9) != (X6)))),
% 1.36/1.09 inference('sup-', [status(thm)], [zip_derived_cl1694, zip_derived_cl45])).
% 1.36/1.09 thf(zip_derived_cl1821, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.36/1.09 (((multiply @ (inverse @ sk_c9) @ sk_c9) != (X0))
% 1.36/1.09 | ((multiply @ sk_c9 @ X0) != (sk_c8))
% 1.36/1.09 | ((inverse @ X1) != (sk_c8))
% 1.36/1.09 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.36/1.09 | ((inverse @ X2) != (sk_c10))
% 1.36/1.09 | ((multiply @ X2 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 1.36/1.09 | ((inverse @ X3) != (sk_c8))
% 1.36/1.09 | ((inverse @ X4) != (sk_c9))
% 1.36/1.09 | ((multiply @ X4 @ sk_c9) != (sk_c8))
% 1.36/1.09 | ((inverse @ X5) != (sk_c10))
% 1.36/1.09 | ((multiply @ X5 @ sk_c10) != (sk_c9)))),
% 1.36/1.09 inference('eq_res', [status(thm)], [zip_derived_cl1704])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl1822, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.36/1.09 (((identity) != (X0))
% 1.36/1.09 | ((multiply @ sk_c9 @ X0) != (sk_c8))
% 1.36/1.09 | ((inverse @ X1) != (sk_c8))
% 1.36/1.09 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.36/1.09 | ((inverse @ X2) != (sk_c10))
% 1.36/1.09 | ((multiply @ X2 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 1.36/1.09 | ((inverse @ X3) != (sk_c8))
% 1.36/1.09 | ((inverse @ X4) != (sk_c9))
% 1.36/1.09 | ((multiply @ X4 @ sk_c9) != (sk_c8))
% 1.36/1.09 | ((inverse @ X5) != (sk_c10))
% 1.36/1.09 | ((multiply @ X5 @ sk_c10) != (sk_c9)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl1821, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl1823, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ X1 @ sk_c9) != (sk_c8))
% 1.36/1.09 | ((inverse @ X1) != (sk_c9))
% 1.36/1.09 | ((inverse @ X2) != (sk_c8))
% 1.36/1.09 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 1.36/1.09 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((inverse @ X3) != (sk_c10))
% 1.36/1.09 | ((multiply @ X4 @ sk_c8) != (sk_c9))
% 1.36/1.09 | ((inverse @ X4) != (sk_c8))
% 1.36/1.09 | ((multiply @ sk_c9 @ identity) != (sk_c8)))),
% 1.36/1.09 inference('eq_res', [status(thm)], [zip_derived_cl1822])).
% 1.36/1.09 thf(zip_derived_cl1824, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ X1 @ sk_c9) != (multiply @ sk_c9 @ identity))
% 1.36/1.09 | ((inverse @ X1) != (sk_c9))
% 1.36/1.09 | ((inverse @ X2) != (multiply @ sk_c9 @ identity))
% 1.36/1.09 | ((multiply @ X2 @ sk_c9) != (multiply @ sk_c9 @ identity))
% 1.36/1.09 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((inverse @ X3) != (sk_c10))
% 1.36/1.09 | ((multiply @ X4 @ (multiply @ sk_c9 @ identity)) != (sk_c9))
% 1.36/1.09 | ((inverse @ X4) != (multiply @ sk_c9 @ identity))
% 1.36/1.09 | ((multiply @ sk_c9 @ identity) != (sk_c8)))),
% 1.36/1.09 inference('local_rewriting', [status(thm)], [zip_derived_cl1823])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl1825, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ X1 @ sk_c9) != (sk_c9))
% 1.36/1.09 | ((inverse @ X1) != (sk_c9))
% 1.36/1.09 | ((inverse @ X2) != (sk_c9))
% 1.36/1.09 | ((multiply @ X2 @ sk_c9) != (sk_c9))
% 1.36/1.09 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((inverse @ X3) != (sk_c10))
% 1.36/1.09 | ((multiply @ X4 @ sk_c9) != (sk_c9))
% 1.36/1.09 | ((inverse @ X4) != (sk_c9))
% 1.36/1.09 | ((sk_c9) != (sk_c8)))),
% 1.36/1.09 inference('demod', [status(thm)],
% 1.36/1.09 [zip_derived_cl1824, zip_derived_cl1635, zip_derived_cl1635,
% 1.36/1.09 zip_derived_cl1635, zip_derived_cl1635, zip_derived_cl1635,
% 1.36/1.09 zip_derived_cl1635])).
% 1.36/1.09 thf(prove_this_28, conjecture,
% 1.36/1.09 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.36/1.09 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.36/1.09 thf(zf_stmt_1, negated_conjecture,
% 1.36/1.09 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 1.36/1.09 thf(zip_derived_cl30, plain,
% 1.36/1.09 ((((inverse @ sk_c6) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl67, plain,
% 1.36/1.09 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 1.36/1.09 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl147, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl0])).
% 1.36/1.09 thf(zip_derived_cl173, plain,
% 1.36/1.09 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.36/1.09 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl147])).
% 1.36/1.09 thf(prove_this_21, conjecture,
% 1.36/1.09 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.36/1.09 thf(zf_stmt_2, negated_conjecture,
% 1.36/1.09 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.36/1.09 thf(zip_derived_cl23, plain,
% 1.36/1.09 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.36/1.09 thf(zip_derived_cl781, plain,
% 1.36/1.09 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.36/1.09 = (sk_c8))
% 1.36/1.09 | ((inverse @ sk_c6) = (sk_c9))
% 1.36/1.09 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl173, zip_derived_cl23])).
% 1.36/1.09 thf(zip_derived_cl2, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.09 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.36/1.09 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.36/1.09 inference('cnf', [status(esa)], [associativity])).
% 1.36/1.09 thf(zip_derived_cl0, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl798, plain,
% 1.36/1.09 ((((identity) = (sk_c8))
% 1.36/1.09 | ((inverse @ sk_c6) = (sk_c9))
% 1.36/1.09 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.36/1.09 inference('demod', [status(thm)],
% 1.36/1.09 [zip_derived_cl781, zip_derived_cl2, zip_derived_cl0,
% 1.36/1.09 zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl799, plain,
% 1.36/1.09 ((((inverse @ sk_c6) = (sk_c9)) | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl798])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl802, plain,
% 1.36/1.09 ((((multiply @ sk_c9 @ sk_c6) = (identity)) | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl799, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl147, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl0])).
% 1.36/1.09 thf(zip_derived_cl834, plain,
% 1.36/1.09 ((((sk_c6) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.36/1.09 | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl802, zip_derived_cl147])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl1682, plain,
% 1.36/1.09 ((((sk_c6) = (inverse @ sk_c9)) | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl834, zip_derived_cl1635])).
% 1.36/1.09 thf(prove_this_27, conjecture,
% 1.36/1.09 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.36/1.09 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.36/1.09 thf(zf_stmt_3, negated_conjecture,
% 1.36/1.09 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.36/1.09 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.36/1.09 thf(zip_derived_cl29, plain,
% 1.36/1.09 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.36/1.09 thf(zip_derived_cl1694, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1635, zip_derived_cl163])).
% 1.36/1.09 thf(zip_derived_cl1723, plain,
% 1.36/1.09 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1694])).
% 1.36/1.09 thf(prove_this_20, conjecture,
% 1.36/1.09 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.36/1.09 thf(zf_stmt_4, negated_conjecture,
% 1.36/1.09 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.36/1.09 thf(zip_derived_cl22, plain,
% 1.36/1.09 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.36/1.09 | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.36/1.09 thf(zip_derived_cl2679, plain,
% 1.36/1.09 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.36/1.09 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.36/1.09 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1723, zip_derived_cl22])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl2696, plain,
% 1.36/1.09 ((((identity) = (sk_c8))
% 1.36/1.09 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.36/1.09 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl2679, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl2697, plain,
% 1.36/1.09 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl2696])).
% 1.36/1.09 thf(zip_derived_cl3095, plain,
% 1.36/1.09 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c7))
% 1.36/1.09 | ((identity) = (sk_c8))
% 1.36/1.09 | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1682, zip_derived_cl2697])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl3100, plain,
% 1.36/1.09 ((((identity) = (sk_c7))
% 1.36/1.09 | ((identity) = (sk_c8))
% 1.36/1.09 | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl3095, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl3101, plain,
% 1.36/1.09 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl3100])).
% 1.36/1.09 thf(prove_this_26, conjecture,
% 1.36/1.09 (~( ( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.36/1.09 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.36/1.09 thf(zf_stmt_5, negated_conjecture,
% 1.36/1.09 (( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.36/1.09 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.36/1.09 thf(zip_derived_cl28, plain,
% 1.36/1.09 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.36/1.09 thf(zip_derived_cl1694, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1635, zip_derived_cl163])).
% 1.36/1.09 thf(zip_derived_cl1722, plain,
% 1.36/1.09 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl1694])).
% 1.36/1.09 thf(prove_this_19, conjecture,
% 1.36/1.09 (~( ( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.36/1.09 thf(zf_stmt_6, negated_conjecture,
% 1.36/1.09 (( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.36/1.09 thf(zip_derived_cl21, plain,
% 1.36/1.09 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.36/1.09 | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.36/1.09 thf(zip_derived_cl2642, plain,
% 1.36/1.09 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.36/1.09 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.36/1.09 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1722, zip_derived_cl21])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl2659, plain,
% 1.36/1.09 ((((identity) = (sk_c8))
% 1.36/1.09 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.36/1.09 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl2642, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl2660, plain,
% 1.36/1.09 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl2659])).
% 1.36/1.09 thf(zip_derived_cl3116, plain,
% 1.36/1.09 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.36/1.09 | ((identity) = (sk_c8))
% 1.36/1.09 | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl3101, zip_derived_cl2660])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl3126, plain,
% 1.36/1.09 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('demod', [status(thm)],
% 1.36/1.09 [zip_derived_cl3116, zip_derived_cl1635])).
% 1.36/1.09 thf(zip_derived_cl3127, plain,
% 1.36/1.09 ((((identity) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl3126])).
% 1.36/1.09 thf(zip_derived_cl3184, plain,
% 1.36/1.09 ((((sk_c9) != (identity)) | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('eq_fact', [status(thm)], [zip_derived_cl3127])).
% 1.36/1.09 thf(prove_this_25, conjecture,
% 1.36/1.09 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.36/1.09 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.36/1.09 thf(zf_stmt_7, negated_conjecture,
% 1.36/1.09 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.36/1.09 thf(zip_derived_cl27, plain,
% 1.36/1.09 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl52, plain,
% 1.36/1.09 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 1.36/1.09 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl147, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl0])).
% 1.36/1.09 thf(zip_derived_cl171, plain,
% 1.36/1.09 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.36/1.09 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl147])).
% 1.36/1.09 thf(prove_this_18, conjecture,
% 1.36/1.09 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.36/1.09 thf(zf_stmt_8, negated_conjecture,
% 1.36/1.09 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.36/1.09 thf(zip_derived_cl20, plain,
% 1.36/1.09 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.36/1.09 thf(zip_derived_cl312, plain,
% 1.36/1.09 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.36/1.09 = (sk_c8))
% 1.36/1.09 | ((inverse @ sk_c5) = (sk_c8))
% 1.36/1.09 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl20])).
% 1.36/1.09 thf(zip_derived_cl2, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.09 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.36/1.09 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.36/1.09 inference('cnf', [status(esa)], [associativity])).
% 1.36/1.09 thf(zip_derived_cl0, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl329, plain,
% 1.36/1.09 ((((identity) = (sk_c8))
% 1.36/1.09 | ((inverse @ sk_c5) = (sk_c8))
% 1.36/1.09 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.36/1.09 inference('demod', [status(thm)],
% 1.36/1.09 [zip_derived_cl312, zip_derived_cl2, zip_derived_cl0,
% 1.36/1.09 zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl330, plain,
% 1.36/1.09 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl329])).
% 1.36/1.09 thf(prove_this_24, conjecture,
% 1.36/1.09 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.36/1.09 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.36/1.09 thf(zf_stmt_9, negated_conjecture,
% 1.36/1.09 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.36/1.09 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.36/1.09 thf(zip_derived_cl26, plain,
% 1.36/1.09 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.36/1.09 thf(zip_derived_cl1694, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1635, zip_derived_cl163])).
% 1.36/1.09 thf(zip_derived_cl1720, plain,
% 1.36/1.09 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1694])).
% 1.36/1.09 thf(prove_this_17, conjecture,
% 1.36/1.09 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.36/1.09 thf(zf_stmt_10, negated_conjecture,
% 1.36/1.09 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.36/1.09 thf(zip_derived_cl19, plain,
% 1.36/1.09 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 1.36/1.09 | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.36/1.09 thf(zip_derived_cl2604, plain,
% 1.36/1.09 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.36/1.09 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 1.36/1.09 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1720, zip_derived_cl19])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl2621, plain,
% 1.36/1.09 ((((identity) = (sk_c8))
% 1.36/1.09 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 1.36/1.09 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl2604, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl2622, plain,
% 1.36/1.09 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl2621])).
% 1.36/1.09 thf(zip_derived_cl2887, plain,
% 1.36/1.09 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c9))
% 1.36/1.09 | ((identity) = (sk_c8))
% 1.36/1.09 | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl330, zip_derived_cl2622])).
% 1.36/1.09 thf(zip_derived_cl1694, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1635, zip_derived_cl163])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl1703, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1694, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl2904, plain,
% 1.36/1.09 ((((identity) = (sk_c9))
% 1.36/1.09 | ((identity) = (sk_c8))
% 1.36/1.09 | ((identity) = (sk_c8)))),
% 1.36/1.09 inference('demod', [status(thm)],
% 1.36/1.09 [zip_derived_cl2887, zip_derived_cl1703])).
% 1.36/1.09 thf(zip_derived_cl2905, plain,
% 1.36/1.09 ((((identity) = (sk_c8)) | ((identity) = (sk_c9)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl2904])).
% 1.36/1.09 thf(zip_derived_cl3228, plain, (((identity) = (sk_c8))),
% 1.36/1.09 inference('clc', [status(thm)], [zip_derived_cl3184, zip_derived_cl2905])).
% 1.36/1.09 thf(zip_derived_cl3291, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ X1 @ sk_c9) != (sk_c9))
% 1.36/1.09 | ((inverse @ X1) != (sk_c9))
% 1.36/1.09 | ((inverse @ X2) != (sk_c9))
% 1.36/1.09 | ((multiply @ X2 @ sk_c9) != (sk_c9))
% 1.36/1.09 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.36/1.09 | ((inverse @ X3) != (sk_c10))
% 1.36/1.09 | ((multiply @ X4 @ sk_c9) != (sk_c9))
% 1.36/1.09 | ((inverse @ X4) != (sk_c9))
% 1.36/1.09 | ((sk_c9) != (identity)))),
% 1.36/1.09 inference('demod', [status(thm)],
% 1.36/1.09 [zip_derived_cl1825, zip_derived_cl3228])).
% 1.36/1.09 thf(zip_derived_cl3292, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ X1 @ identity) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (identity))
% 1.36/1.09 | ((inverse @ X2) != (identity))
% 1.36/1.09 | ((multiply @ X2 @ identity) != (identity))
% 1.36/1.09 | ((multiply @ X3 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X3) != (sk_c10))
% 1.36/1.09 | ((multiply @ X4 @ identity) != (identity))
% 1.36/1.09 | ((inverse @ X4) != (identity))
% 1.36/1.09 | ((sk_c9) != (identity)))),
% 1.36/1.09 inference('local_rewriting', [status(thm)], [zip_derived_cl3291])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl3293, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((X1) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (identity))
% 1.36/1.09 | ((inverse @ X2) != (identity))
% 1.36/1.09 | ((X2) != (identity))
% 1.36/1.09 | ((multiply @ X3 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X3) != (sk_c10))
% 1.36/1.09 | ((X4) != (identity))
% 1.36/1.09 | ((inverse @ X4) != (identity))
% 1.36/1.09 | ((sk_c9) != (identity)))),
% 1.36/1.09 inference('demod', [status(thm)],
% 1.36/1.09 [zip_derived_cl3292, zip_derived_cl1635, zip_derived_cl1635,
% 1.36/1.09 zip_derived_cl1635])).
% 1.36/1.09 thf(prove_this_32, conjecture,
% 1.36/1.09 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.36/1.09 ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.36/1.09 thf(zf_stmt_11, negated_conjecture,
% 1.36/1.09 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c8 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 1.36/1.09 thf(zip_derived_cl34, plain,
% 1.36/1.09 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c8)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.36/1.09 thf(zip_derived_cl3228, plain, (((identity) = (sk_c8))),
% 1.36/1.09 inference('clc', [status(thm)], [zip_derived_cl3184, zip_derived_cl2905])).
% 1.36/1.09 thf(zip_derived_cl3228, plain, (((identity) = (sk_c8))),
% 1.36/1.09 inference('clc', [status(thm)], [zip_derived_cl3184, zip_derived_cl2905])).
% 1.36/1.09 thf(zip_derived_cl3248, plain,
% 1.36/1.09 ((((inverse @ sk_c5) = (identity)) | ((inverse @ sk_c3) = (identity)))),
% 1.36/1.09 inference('demod', [status(thm)],
% 1.36/1.09 [zip_derived_cl34, zip_derived_cl3228, zip_derived_cl3228])).
% 1.36/1.09 thf(zip_derived_cl1694, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1635, zip_derived_cl163])).
% 1.36/1.09 thf(zip_derived_cl147, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl0])).
% 1.36/1.09 thf(zip_derived_cl1706, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1694, zip_derived_cl147])).
% 1.36/1.09 thf(zip_derived_cl4113, plain,
% 1.36/1.09 (![X0 : $i]:
% 1.36/1.09 (((X0) = (multiply @ sk_c3 @ (multiply @ identity @ X0)))
% 1.36/1.09 | ((inverse @ sk_c5) = (identity)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl3248, zip_derived_cl1706])).
% 1.36/1.09 thf(zip_derived_cl0, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.09 thf(zip_derived_cl4129, plain,
% 1.36/1.09 (![X0 : $i]:
% 1.36/1.09 (((X0) = (multiply @ sk_c3 @ X0)) | ((inverse @ sk_c5) = (identity)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl4113, zip_derived_cl0])).
% 1.36/1.09 thf(prove_this_39, conjecture,
% 1.36/1.09 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.36/1.09 thf(zf_stmt_12, negated_conjecture,
% 1.36/1.09 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_39])).
% 1.36/1.09 thf(zip_derived_cl41, plain,
% 1.36/1.09 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c3 @ sk_c9) = (sk_c8)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.36/1.09 thf(zip_derived_cl3228, plain, (((identity) = (sk_c8))),
% 1.36/1.09 inference('clc', [status(thm)], [zip_derived_cl3184, zip_derived_cl2905])).
% 1.36/1.09 thf(zip_derived_cl3228, plain, (((identity) = (sk_c8))),
% 1.36/1.09 inference('clc', [status(thm)], [zip_derived_cl3184, zip_derived_cl2905])).
% 1.36/1.09 thf(zip_derived_cl3255, plain,
% 1.36/1.09 ((((inverse @ sk_c5) = (identity))
% 1.36/1.09 | ((multiply @ sk_c3 @ sk_c9) = (identity)))),
% 1.36/1.09 inference('demod', [status(thm)],
% 1.36/1.09 [zip_derived_cl41, zip_derived_cl3228, zip_derived_cl3228])).
% 1.36/1.09 thf(zip_derived_cl4688, plain,
% 1.36/1.09 ((((sk_c9) = (identity))
% 1.36/1.09 | ((inverse @ sk_c5) = (identity))
% 1.36/1.09 | ((inverse @ sk_c5) = (identity)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl4129, zip_derived_cl3255])).
% 1.36/1.09 thf(zip_derived_cl4700, plain,
% 1.36/1.09 ((((inverse @ sk_c5) = (identity)) | ((sk_c9) = (identity)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl4688])).
% 1.36/1.09 thf(zip_derived_cl1694, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1635, zip_derived_cl163])).
% 1.36/1.09 thf(zip_derived_cl4712, plain,
% 1.36/1.09 ((((sk_c5) = (inverse @ identity)) | ((sk_c9) = (identity)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl4700, zip_derived_cl1694])).
% 1.36/1.09 thf(zip_derived_cl0, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.09 thf(zip_derived_cl147, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl0])).
% 1.36/1.09 thf(zip_derived_cl162, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl147])).
% 1.36/1.09 thf(zip_derived_cl147, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl0])).
% 1.36/1.09 thf(zip_derived_cl215, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl147])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl956, plain, (((inverse @ identity) = (identity))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl4734, plain,
% 1.36/1.09 ((((sk_c5) = (identity)) | ((sk_c9) = (identity)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl4712, zip_derived_cl956])).
% 1.36/1.09 thf(prove_this_31, conjecture,
% 1.36/1.09 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.36/1.09 ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.36/1.09 thf(zf_stmt_13, negated_conjecture,
% 1.36/1.09 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.36/1.09 ( ( inverse @ sk_c3 ) = ( sk_c8 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.36/1.09 thf(zip_derived_cl33, plain,
% 1.36/1.09 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c3) = (sk_c8)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.36/1.09 thf(zip_derived_cl1694, plain,
% 1.36/1.09 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl1635, zip_derived_cl163])).
% 1.36/1.09 thf(zip_derived_cl1727, plain,
% 1.36/1.09 ((((sk_c3) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl1694])).
% 1.36/1.09 thf(zip_derived_cl3228, plain, (((identity) = (sk_c8))),
% 1.36/1.09 inference('clc', [status(thm)], [zip_derived_cl3184, zip_derived_cl2905])).
% 1.36/1.09 thf(zip_derived_cl956, plain, (((inverse @ identity) = (identity))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl3228, plain, (((identity) = (sk_c8))),
% 1.36/1.09 inference('clc', [status(thm)], [zip_derived_cl3184, zip_derived_cl2905])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl3287, plain,
% 1.36/1.09 ((((sk_c3) = (identity)) | ((sk_c5) = (sk_c9)))),
% 1.36/1.09 inference('demod', [status(thm)],
% 1.36/1.09 [zip_derived_cl1727, zip_derived_cl3228, zip_derived_cl956,
% 1.36/1.09 zip_derived_cl3228, zip_derived_cl1635])).
% 1.36/1.09 thf(prove_this_38, conjecture,
% 1.36/1.09 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.36/1.09 thf(zf_stmt_14, negated_conjecture,
% 1.36/1.09 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.36/1.09 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) )),
% 1.36/1.09 inference('cnf.neg', [status(esa)], [prove_this_38])).
% 1.36/1.09 thf(zip_derived_cl40, plain,
% 1.36/1.09 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 1.36/1.09 | ((multiply @ sk_c3 @ sk_c9) = (sk_c8)))),
% 1.36/1.09 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.36/1.09 thf(zip_derived_cl3228, plain, (((identity) = (sk_c8))),
% 1.36/1.09 inference('clc', [status(thm)], [zip_derived_cl3184, zip_derived_cl2905])).
% 1.36/1.09 thf(zip_derived_cl1635, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 1.36/1.09 thf(zip_derived_cl3228, plain, (((identity) = (sk_c8))),
% 1.36/1.09 inference('clc', [status(thm)], [zip_derived_cl3184, zip_derived_cl2905])).
% 1.36/1.09 thf(zip_derived_cl3254, plain,
% 1.36/1.09 ((((sk_c5) = (sk_c9)) | ((multiply @ sk_c3 @ sk_c9) = (identity)))),
% 1.36/1.09 inference('demod', [status(thm)],
% 1.36/1.09 [zip_derived_cl40, zip_derived_cl3228, zip_derived_cl1635,
% 1.36/1.09 zip_derived_cl3228])).
% 1.36/1.09 thf(zip_derived_cl3681, plain,
% 1.36/1.09 ((((multiply @ identity @ sk_c9) = (identity))
% 1.36/1.09 | ((sk_c5) = (sk_c9))
% 1.36/1.09 | ((sk_c5) = (sk_c9)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl3287, zip_derived_cl3254])).
% 1.36/1.09 thf(zip_derived_cl0, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_identity])).
% 1.36/1.09 thf(zip_derived_cl3689, plain,
% 1.36/1.09 ((((sk_c9) = (identity)) | ((sk_c5) = (sk_c9)) | ((sk_c5) = (sk_c9)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl3681, zip_derived_cl0])).
% 1.36/1.09 thf(zip_derived_cl3690, plain,
% 1.36/1.09 ((((sk_c5) = (sk_c9)) | ((sk_c9) = (identity)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl3689])).
% 1.36/1.09 thf(zip_derived_cl4761, plain,
% 1.36/1.09 ((((identity) = (sk_c9))
% 1.36/1.09 | ((sk_c9) = (identity))
% 1.36/1.09 | ((sk_c9) = (identity)))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl4734, zip_derived_cl3690])).
% 1.36/1.09 thf(zip_derived_cl4784, plain, (((identity) = (sk_c9))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl4761])).
% 1.36/1.09 thf(zip_derived_cl4879, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((X1) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (identity))
% 1.36/1.09 | ((inverse @ X2) != (identity))
% 1.36/1.09 | ((X2) != (identity))
% 1.36/1.09 | ((multiply @ X3 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X3) != (sk_c10))
% 1.36/1.09 | ((X4) != (identity))
% 1.36/1.09 | ((inverse @ X4) != (identity))
% 1.36/1.09 | ((identity) != (identity)))),
% 1.36/1.09 inference('demod', [status(thm)],
% 1.36/1.09 [zip_derived_cl3293, zip_derived_cl4784])).
% 1.36/1.09 thf(zip_derived_cl4880, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.36/1.09 (((inverse @ X4) != (identity))
% 1.36/1.09 | ((X4) != (identity))
% 1.36/1.09 | ((inverse @ X3) != (sk_c10))
% 1.36/1.09 | ((multiply @ X3 @ sk_c10) != (identity))
% 1.36/1.09 | ((X2) != (identity))
% 1.36/1.09 | ((inverse @ X2) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (identity))
% 1.36/1.09 | ((X1) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl4879])).
% 1.36/1.09 thf(zip_derived_cl4898, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((X1) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (identity))
% 1.36/1.09 | ((inverse @ X2) != (identity))
% 1.36/1.09 | ((X2) != (identity))
% 1.36/1.09 | ((multiply @ X3 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X3) != (sk_c10))
% 1.36/1.09 | ((inverse @ identity) != (identity)))),
% 1.36/1.09 inference('eq_res', [status(thm)], [zip_derived_cl4880])).
% 1.36/1.09 thf(zip_derived_cl956, plain, (((inverse @ identity) = (identity))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl4899, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((X1) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (identity))
% 1.36/1.09 | ((inverse @ X2) != (identity))
% 1.36/1.09 | ((X2) != (identity))
% 1.36/1.09 | ((multiply @ X3 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X3) != (sk_c10))
% 1.36/1.09 | ((identity) != (identity)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl4898, zip_derived_cl956])).
% 1.36/1.09 thf(zip_derived_cl4900, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/1.09 (((inverse @ X3) != (sk_c10))
% 1.36/1.09 | ((multiply @ X3 @ sk_c10) != (identity))
% 1.36/1.09 | ((X2) != (identity))
% 1.36/1.09 | ((inverse @ X2) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (identity))
% 1.36/1.09 | ((X1) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl4899])).
% 1.36/1.09 thf(zip_derived_cl4901, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((X1) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (identity))
% 1.36/1.09 | ((inverse @ identity) != (identity))
% 1.36/1.09 | ((multiply @ X2 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X2) != (sk_c10)))),
% 1.36/1.09 inference('eq_res', [status(thm)], [zip_derived_cl4900])).
% 1.36/1.09 thf(zip_derived_cl956, plain, (((inverse @ identity) = (identity))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl4902, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((X1) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (identity))
% 1.36/1.09 | ((identity) != (identity))
% 1.36/1.09 | ((multiply @ X2 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X2) != (sk_c10)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl4901, zip_derived_cl956])).
% 1.36/1.09 thf(zip_derived_cl4903, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/1.09 (((inverse @ X2) != (sk_c10))
% 1.36/1.09 | ((multiply @ X2 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (identity))
% 1.36/1.09 | ((X1) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl4902])).
% 1.36/1.09 thf(zip_derived_cl4904, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((inverse @ identity) != (identity))
% 1.36/1.09 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (sk_c10)))),
% 1.36/1.09 inference('eq_res', [status(thm)], [zip_derived_cl4903])).
% 1.36/1.09 thf(zip_derived_cl956, plain, (((inverse @ identity) = (identity))),
% 1.36/1.09 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl4905, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((identity) != (identity))
% 1.36/1.09 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (sk_c10)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl4904, zip_derived_cl956])).
% 1.36/1.09 thf(zip_derived_cl4906, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 (((inverse @ X1) != (sk_c10))
% 1.36/1.09 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl4905])).
% 1.36/1.09 thf(zip_derived_cl4907, plain,
% 1.36/1.09 (![X0 : $i, X1 : $i]:
% 1.36/1.09 (((X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X1) != (sk_c10))
% 1.36/1.09 | ((multiply @ (inverse @ X0) @ sk_c10) != (identity)))),
% 1.36/1.09 inference('sup-', [status(thm)], [zip_derived_cl1694, zip_derived_cl4906])).
% 1.36/1.09 thf(zip_derived_cl4920, plain,
% 1.36/1.09 (![X0 : $i]:
% 1.36/1.09 (((multiply @ (inverse @ sk_c10) @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 1.36/1.09 inference('eq_res', [status(thm)], [zip_derived_cl4907])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl4921, plain,
% 1.36/1.09 (![X0 : $i]:
% 1.36/1.09 (((identity) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl4920, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl4922, plain,
% 1.36/1.09 (![X0 : $i]:
% 1.36/1.09 (((multiply @ X0 @ sk_c10) != (identity))
% 1.36/1.09 | ((inverse @ X0) != (sk_c10)))),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl4921])).
% 1.36/1.09 thf(zip_derived_cl4959, plain,
% 1.36/1.09 (![X0 : $i]:
% 1.36/1.09 (((X0) != (sk_c10))
% 1.36/1.09 | ((multiply @ (inverse @ X0) @ sk_c10) != (identity)))),
% 1.36/1.09 inference('sup-', [status(thm)], [zip_derived_cl1694, zip_derived_cl4922])).
% 1.36/1.09 thf(zip_derived_cl4972, plain,
% 1.36/1.09 (((multiply @ (inverse @ sk_c10) @ sk_c10) != (identity))),
% 1.36/1.09 inference('eq_res', [status(thm)], [zip_derived_cl4959])).
% 1.36/1.09 thf(zip_derived_cl1, plain,
% 1.36/1.09 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.36/1.09 inference('cnf', [status(esa)], [left_inverse])).
% 1.36/1.09 thf(zip_derived_cl4973, plain, (((identity) != (identity))),
% 1.36/1.09 inference('demod', [status(thm)], [zip_derived_cl4972, zip_derived_cl1])).
% 1.36/1.09 thf(zip_derived_cl4974, plain, ($false),
% 1.36/1.09 inference('simplify', [status(thm)], [zip_derived_cl4973])).
% 1.36/1.09
% 1.36/1.09 % SZS output end Refutation
% 1.36/1.09
% 1.36/1.09
% 1.36/1.09 % Terminating...
% 1.69/1.14 % Runner terminated.
% 1.69/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------