TSTP Solution File: GRP245-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP245-1 : 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.uhzSJw7lbc true
% Computer : n031.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 01:50:52 EDT 2023
% Result : Unsatisfiable 1.25s 1.02s
% Output : Refutation 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP245-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uhzSJw7lbc true
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 22:47:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 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/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.99/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.99/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.25/1.02 % Solved by fo/fo7.sh.
% 1.25/1.02 % done 820 iterations in 0.250s
% 1.25/1.02 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.25/1.02 % SZS output start Refutation
% 1.25/1.02 thf(sk_c6_type, type, sk_c6: $i).
% 1.25/1.02 thf(sk_c9_type, type, sk_c9: $i).
% 1.25/1.02 thf(sk_c2_type, type, sk_c2: $i).
% 1.25/1.02 thf(sk_c8_type, type, sk_c8: $i).
% 1.25/1.02 thf(sk_c5_type, type, sk_c5: $i).
% 1.25/1.02 thf(identity_type, type, identity: $i).
% 1.25/1.02 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.25/1.02 thf(sk_c10_type, type, sk_c10: $i).
% 1.25/1.02 thf(inverse_type, type, inverse: $i > $i).
% 1.25/1.02 thf(sk_c4_type, type, sk_c4: $i).
% 1.25/1.02 thf(sk_c3_type, type, sk_c3: $i).
% 1.25/1.02 thf(sk_c7_type, type, sk_c7: $i).
% 1.25/1.02 thf(sk_c1_type, type, sk_c1: $i).
% 1.25/1.02 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.25/1.02 thf(zip_derived_cl0, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_identity])).
% 1.25/1.02 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(associativity, axiom,
% 1.25/1.02 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.25/1.02 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.25/1.02 thf(zip_derived_cl2, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/1.02 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.25/1.02 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.25/1.02 inference('cnf', [status(esa)], [associativity])).
% 1.25/1.02 thf(zip_derived_cl134, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 ((multiply @ identity @ X0)
% 1.25/1.02 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.25/1.02 thf(zip_derived_cl0, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_identity])).
% 1.25/1.02 thf(zip_derived_cl165, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl0])).
% 1.25/1.02 thf(zip_derived_cl180, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl165])).
% 1.25/1.02 thf(zip_derived_cl165, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl0])).
% 1.25/1.02 thf(zip_derived_cl232, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl165])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl549, plain, (((inverse @ identity) = (identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl165, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl0])).
% 1.25/1.02 thf(zip_derived_cl181, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl165])).
% 1.25/1.02 thf(zip_derived_cl165, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl0])).
% 1.25/1.02 thf(zip_derived_cl165, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl0])).
% 1.25/1.02 thf(zip_derived_cl178, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl165, zip_derived_cl165])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl181, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl165])).
% 1.25/1.02 thf(zip_derived_cl601, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl181])).
% 1.25/1.02 thf(prove_this_43, conjecture,
% 1.25/1.02 (~( ( ( multiply @ X3 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ X7 ) != ( X3 ) ) |
% 1.25/1.02 ( ( multiply @ X7 @ X3 ) != ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ X2 ) != ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 1.25/1.02 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ X6 ) != ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ X5 ) != ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.25/1.02 ( ( inverse @ X4 ) != ( sk_c10 ) ) |
% 1.25/1.02 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c9 ) ) ))).
% 1.25/1.02 thf(zf_stmt_0, negated_conjecture,
% 1.25/1.02 (( ( multiply @ X3 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ X7 ) != ( X3 ) ) |
% 1.25/1.02 ( ( multiply @ X7 @ X3 ) != ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ X2 ) != ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 1.25/1.02 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ X6 ) != ( sk_c10 ) ) | ( ( inverse @ X5 ) != ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.25/1.02 ( ( inverse @ X4 ) != ( sk_c10 ) ) |
% 1.25/1.02 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c9 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_43])).
% 1.25/1.02 thf(zip_derived_cl45, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.25/1.02 (((multiply @ X0 @ sk_c8) != (sk_c9))
% 1.25/1.02 | ((inverse @ X1) != (X0))
% 1.25/1.02 | ((multiply @ X1 @ X0) != (sk_c9))
% 1.25/1.02 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 1.25/1.02 | ((inverse @ X2) != (sk_c9))
% 1.25/1.02 | ((multiply @ X3 @ sk_c9) != (sk_c10))
% 1.25/1.02 | ((inverse @ X3) != (sk_c10))
% 1.25/1.02 | ((multiply @ X4 @ sk_c9) != (sk_c10))
% 1.25/1.02 | ((inverse @ X4) != (sk_c10))
% 1.25/1.02 | ((inverse @ X5) != (sk_c9))
% 1.25/1.02 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 1.25/1.02 | ((inverse @ X6) != (sk_c10))
% 1.25/1.02 | ((multiply @ X6 @ sk_c10) != (sk_c9)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.25/1.02 thf(zip_derived_cl46, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.25/1.02 (((multiply @ X0 @ sk_c10) != (sk_c9))
% 1.25/1.02 | ((inverse @ X0) != (sk_c10))
% 1.25/1.02 | ((multiply @ X1 @ sk_c9) != (sk_c8))
% 1.25/1.02 | ((inverse @ X1) != (sk_c9))
% 1.25/1.02 | ((inverse @ X2) != (sk_c10))
% 1.25/1.02 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 1.25/1.02 | ((inverse @ X3) != (sk_c10))
% 1.25/1.02 | ((multiply @ X3 @ sk_c9) != (sk_c10))
% 1.25/1.02 | ((inverse @ X4) != (sk_c9))
% 1.25/1.02 | ((multiply @ X4 @ sk_c8) != (sk_c9))
% 1.25/1.02 | ((multiply @ X5 @ (inverse @ X5)) != (sk_c9))
% 1.25/1.02 | ((multiply @ (inverse @ X5) @ sk_c8) != (sk_c9)))),
% 1.25/1.02 inference('eq_res', [status(thm)], [zip_derived_cl45])).
% 1.25/1.02 thf(zip_derived_cl607, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.25/1.02 (((X0) != (sk_c10))
% 1.25/1.02 | ((multiply @ (inverse @ X1) @ sk_c8) != (sk_c9))
% 1.25/1.02 | ((multiply @ X1 @ (inverse @ X1)) != (sk_c9))
% 1.25/1.02 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 1.25/1.02 | ((inverse @ X2) != (sk_c9))
% 1.25/1.02 | ((multiply @ X3 @ sk_c9) != (sk_c10))
% 1.25/1.02 | ((inverse @ X3) != (sk_c10))
% 1.25/1.02 | ((multiply @ X4 @ sk_c9) != (sk_c10))
% 1.25/1.02 | ((inverse @ X4) != (sk_c10))
% 1.25/1.02 | ((inverse @ X5) != (sk_c9))
% 1.25/1.02 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 1.25/1.02 | ((multiply @ (inverse @ X0) @ sk_c10) != (sk_c9)))),
% 1.25/1.02 inference('sup-', [status(thm)], [zip_derived_cl601, zip_derived_cl46])).
% 1.25/1.02 thf(zip_derived_cl771, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/1.02 (((multiply @ (inverse @ sk_c10) @ sk_c10) != (sk_c9))
% 1.25/1.02 | ((multiply @ X0 @ sk_c9) != (sk_c8))
% 1.25/1.02 | ((inverse @ X0) != (sk_c9))
% 1.25/1.02 | ((inverse @ X1) != (sk_c10))
% 1.25/1.02 | ((multiply @ X1 @ sk_c9) != (sk_c10))
% 1.25/1.02 | ((inverse @ X2) != (sk_c10))
% 1.25/1.02 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 1.25/1.02 | ((inverse @ X3) != (sk_c9))
% 1.25/1.02 | ((multiply @ X3 @ sk_c8) != (sk_c9))
% 1.25/1.02 | ((multiply @ X4 @ (inverse @ X4)) != (sk_c9))
% 1.25/1.02 | ((multiply @ (inverse @ X4) @ sk_c8) != (sk_c9)))),
% 1.25/1.02 inference('eq_res', [status(thm)], [zip_derived_cl607])).
% 1.25/1.02 thf(zip_derived_cl772, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/1.02 (((multiply @ (inverse @ sk_c10) @ sk_c10) != (sk_c9))
% 1.25/1.02 | ((multiply @ X0 @ (multiply @ (inverse @ sk_c10) @ sk_c10))
% 1.25/1.02 != (sk_c8))
% 1.25/1.02 | ((inverse @ X0) != (multiply @ (inverse @ sk_c10) @ sk_c10))
% 1.25/1.02 | ((inverse @ X1) != (sk_c10))
% 1.25/1.02 | ((multiply @ X1 @ (multiply @ (inverse @ sk_c10) @ sk_c10))
% 1.25/1.02 != (sk_c10))
% 1.25/1.02 | ((inverse @ X2) != (sk_c10))
% 1.25/1.02 | ((multiply @ X2 @ (multiply @ (inverse @ sk_c10) @ sk_c10))
% 1.25/1.02 != (sk_c10))
% 1.25/1.02 | ((inverse @ X3) != (multiply @ (inverse @ sk_c10) @ sk_c10))
% 1.25/1.02 | ((multiply @ X3 @ sk_c8)
% 1.25/1.02 != (multiply @ (inverse @ sk_c10) @ sk_c10))
% 1.25/1.02 | ((multiply @ X4 @ (inverse @ X4))
% 1.25/1.02 != (multiply @ (inverse @ sk_c10) @ sk_c10))
% 1.25/1.02 | ((multiply @ (inverse @ X4) @ sk_c8)
% 1.25/1.02 != (multiply @ (inverse @ sk_c10) @ sk_c10)))),
% 1.25/1.02 inference('local_rewriting', [status(thm)], [zip_derived_cl771])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl773, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/1.02 (((identity) != (sk_c9))
% 1.25/1.02 | ((X0) != (sk_c8))
% 1.25/1.02 | ((inverse @ X0) != (identity))
% 1.25/1.02 | ((inverse @ X1) != (sk_c10))
% 1.25/1.02 | ((X1) != (sk_c10))
% 1.25/1.02 | ((inverse @ X2) != (sk_c10))
% 1.25/1.02 | ((X2) != (sk_c10))
% 1.25/1.02 | ((inverse @ X3) != (identity))
% 1.25/1.02 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ X4 @ (inverse @ X4)) != (identity))
% 1.25/1.02 | ((multiply @ (inverse @ X4) @ sk_c8) != (identity)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl772, zip_derived_cl1, zip_derived_cl1,
% 1.25/1.02 zip_derived_cl564, zip_derived_cl1, zip_derived_cl1,
% 1.25/1.02 zip_derived_cl564, zip_derived_cl1, zip_derived_cl564,
% 1.25/1.02 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1,
% 1.25/1.02 zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl601, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl181])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl606, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl1061, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/1.02 (((identity) != (sk_c9))
% 1.25/1.02 | ((X0) != (sk_c8))
% 1.25/1.02 | ((inverse @ X0) != (identity))
% 1.25/1.02 | ((inverse @ X1) != (sk_c10))
% 1.25/1.02 | ((X1) != (sk_c10))
% 1.25/1.02 | ((inverse @ X2) != (sk_c10))
% 1.25/1.02 | ((X2) != (sk_c10))
% 1.25/1.02 | ((inverse @ X3) != (identity))
% 1.25/1.02 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.25/1.02 | ((identity) != (identity))
% 1.25/1.02 | ((multiply @ (inverse @ X4) @ sk_c8) != (identity)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl773, zip_derived_cl606])).
% 1.25/1.02 thf(zip_derived_cl1062, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/1.02 (((multiply @ (inverse @ X4) @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ X3) != (identity))
% 1.25/1.02 | ((X2) != (sk_c10))
% 1.25/1.02 | ((inverse @ X2) != (sk_c10))
% 1.25/1.02 | ((X1) != (sk_c10))
% 1.25/1.02 | ((inverse @ X1) != (sk_c10))
% 1.25/1.02 | ((inverse @ X0) != (identity))
% 1.25/1.02 | ((X0) != (sk_c8))
% 1.25/1.02 | ((identity) != (sk_c9)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1061])).
% 1.25/1.02 thf(prove_this_10, conjecture,
% 1.25/1.02 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.25/1.02 thf(zf_stmt_1, negated_conjecture,
% 1.25/1.02 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.25/1.02 thf(zip_derived_cl12, plain,
% 1.25/1.02 ((((inverse @ sk_c5) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.25/1.02 thf(prove_this_13, conjecture,
% 1.25/1.02 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.25/1.02 thf(zf_stmt_2, negated_conjecture,
% 1.25/1.02 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.25/1.02 thf(zip_derived_cl15, plain,
% 1.25/1.02 ((((inverse @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.25/1.02 thf(prove_this_12, conjecture,
% 1.25/1.02 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.25/1.02 thf(zf_stmt_3, negated_conjecture,
% 1.25/1.02 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.25/1.02 thf(zip_derived_cl14, plain,
% 1.25/1.02 ((((multiply @ sk_c6 @ sk_c7) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.25/1.02 thf(zip_derived_cl88, plain,
% 1.25/1.02 ((((multiply @ sk_c6 @ (inverse @ sk_c6)) = (sk_c9))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl14])).
% 1.25/1.02 thf(zip_derived_cl89, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((multiply @ sk_c6 @ (inverse @ sk_c6)) = (sk_c9)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl88])).
% 1.25/1.02 thf(zip_derived_cl606, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl1057, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c9)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl606])).
% 1.25/1.02 thf(prove_this_25, conjecture,
% 1.25/1.02 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.25/1.02 thf(zf_stmt_4, negated_conjecture,
% 1.25/1.02 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.25/1.02 thf(zip_derived_cl27, plain,
% 1.25/1.02 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.25/1.02 thf(zip_derived_cl601, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl181])).
% 1.25/1.02 thf(zip_derived_cl620, plain,
% 1.25/1.02 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl601])).
% 1.25/1.02 thf(prove_this_18, conjecture,
% 1.25/1.02 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.25/1.02 thf(zf_stmt_5, negated_conjecture,
% 1.25/1.02 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.25/1.02 thf(zip_derived_cl20, plain,
% 1.25/1.02 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 1.25/1.02 | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.25/1.02 thf(zip_derived_cl989, plain,
% 1.25/1.02 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.25/1.02 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 1.25/1.02 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl620, zip_derived_cl20])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl1007, plain,
% 1.25/1.02 ((((identity) = (sk_c8))
% 1.25/1.02 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 1.25/1.02 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl989, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl1008, plain,
% 1.25/1.02 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1007])).
% 1.25/1.02 thf(zip_derived_cl165, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl0])).
% 1.25/1.02 thf(zip_derived_cl1219, plain,
% 1.25/1.02 ((((sk_c8) = (multiply @ (inverse @ sk_c5) @ sk_c9))
% 1.25/1.02 | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl1008, zip_derived_cl165])).
% 1.25/1.02 thf(zip_derived_cl1309, plain,
% 1.25/1.02 ((((multiply @ (inverse @ sk_c5) @ sk_c9) != (identity))
% 1.25/1.02 | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl1219])).
% 1.25/1.02 thf(zip_derived_cl1313, plain,
% 1.25/1.02 ((((multiply @ (inverse @ sk_c5) @ identity) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('sup-', [status(thm)], [zip_derived_cl1057, zip_derived_cl1309])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl1318, plain,
% 1.25/1.02 ((((inverse @ sk_c5) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl1313, zip_derived_cl564])).
% 1.25/1.02 thf(zip_derived_cl1322, plain,
% 1.25/1.02 ((((sk_c9) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((identity) = (sk_c8))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl1318])).
% 1.25/1.02 thf(zip_derived_cl1326, plain,
% 1.25/1.02 ((((identity) = (sk_c8))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((sk_c9) != (identity)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1322])).
% 1.25/1.02 thf(prove_this_27, conjecture,
% 1.25/1.02 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.25/1.02 thf(zf_stmt_6, negated_conjecture,
% 1.25/1.02 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.25/1.02 thf(zip_derived_cl29, plain,
% 1.25/1.02 ((((inverse @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl55, plain,
% 1.25/1.02 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 1.25/1.02 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl165, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl0])).
% 1.25/1.02 thf(zip_derived_cl191, plain,
% 1.25/1.02 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.25/1.02 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl165])).
% 1.25/1.02 thf(prove_this_20, conjecture,
% 1.25/1.02 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.25/1.02 thf(zf_stmt_7, negated_conjecture,
% 1.25/1.02 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.25/1.02 thf(zip_derived_cl22, plain,
% 1.25/1.02 ((((inverse @ sk_c6) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.25/1.02 thf(zip_derived_cl276, plain,
% 1.25/1.02 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.25/1.02 = (sk_c8))
% 1.25/1.02 | ((inverse @ sk_c6) = (sk_c7))
% 1.25/1.02 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl191, zip_derived_cl22])).
% 1.25/1.02 thf(zip_derived_cl2, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/1.02 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.25/1.02 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.25/1.02 inference('cnf', [status(esa)], [associativity])).
% 1.25/1.02 thf(zip_derived_cl0, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_identity])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl293, plain,
% 1.25/1.02 ((((identity) = (sk_c8))
% 1.25/1.02 | ((inverse @ sk_c6) = (sk_c7))
% 1.25/1.02 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl276, zip_derived_cl2, zip_derived_cl0,
% 1.25/1.02 zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl294, plain,
% 1.25/1.02 ((((inverse @ sk_c6) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl293])).
% 1.25/1.02 thf(prove_this_26, conjecture,
% 1.25/1.02 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.25/1.02 thf(zf_stmt_8, negated_conjecture,
% 1.25/1.02 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.25/1.02 thf(zip_derived_cl28, plain,
% 1.25/1.02 ((((multiply @ sk_c6 @ sk_c7) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.25/1.02 thf(zip_derived_cl601, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl181])).
% 1.25/1.02 thf(zip_derived_cl621, plain,
% 1.25/1.02 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c9)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl601])).
% 1.25/1.02 thf(prove_this_19, conjecture,
% 1.25/1.02 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.25/1.02 thf(zf_stmt_9, negated_conjecture,
% 1.25/1.02 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.25/1.02 thf(zip_derived_cl21, plain,
% 1.25/1.02 ((((multiply @ sk_c6 @ sk_c7) = (sk_c9))
% 1.25/1.02 | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.25/1.02 thf(zip_derived_cl1024, plain,
% 1.25/1.02 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.25/1.02 | ((multiply @ sk_c6 @ sk_c7) = (sk_c9))
% 1.25/1.02 | ((multiply @ sk_c6 @ sk_c7) = (sk_c9)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl621, zip_derived_cl21])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl1042, plain,
% 1.25/1.02 ((((identity) = (sk_c8))
% 1.25/1.02 | ((multiply @ sk_c6 @ sk_c7) = (sk_c9))
% 1.25/1.02 | ((multiply @ sk_c6 @ sk_c7) = (sk_c9)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl1024, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl1043, plain,
% 1.25/1.02 ((((multiply @ sk_c6 @ sk_c7) = (sk_c9)) | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1042])).
% 1.25/1.02 thf(zip_derived_cl1237, plain,
% 1.25/1.02 ((((multiply @ sk_c6 @ (inverse @ sk_c6)) = (sk_c9))
% 1.25/1.02 | ((identity) = (sk_c8))
% 1.25/1.02 | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl294, zip_derived_cl1043])).
% 1.25/1.02 thf(zip_derived_cl606, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl1241, plain,
% 1.25/1.02 ((((identity) = (sk_c9))
% 1.25/1.02 | ((identity) = (sk_c8))
% 1.25/1.02 | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl1237, zip_derived_cl606])).
% 1.25/1.02 thf(zip_derived_cl1242, plain,
% 1.25/1.02 ((((identity) = (sk_c8)) | ((identity) = (sk_c9)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1241])).
% 1.25/1.02 thf(zip_derived_cl1331, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl1326, zip_derived_cl1242])).
% 1.25/1.02 thf(prove_this_11, conjecture,
% 1.25/1.02 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.25/1.02 thf(zf_stmt_10, negated_conjecture,
% 1.25/1.02 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.25/1.02 thf(zip_derived_cl13, plain,
% 1.25/1.02 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.25/1.02 thf(zip_derived_cl1334, plain,
% 1.25/1.02 ((((multiply @ sk_c5 @ identity) = (sk_c9))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl1331, zip_derived_cl13])).
% 1.25/1.02 thf(zip_derived_cl1343, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((multiply @ sk_c5 @ identity) = (sk_c9)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1334])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl1521, plain,
% 1.25/1.02 ((((sk_c9) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl1343, zip_derived_cl564])).
% 1.25/1.02 thf(zip_derived_cl12, plain,
% 1.25/1.02 ((((inverse @ sk_c5) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.25/1.02 thf(zip_derived_cl1528, plain,
% 1.25/1.02 ((((inverse @ sk_c9) = (sk_c9))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl1521, zip_derived_cl12])).
% 1.25/1.02 thf(zip_derived_cl1538, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10)) | ((inverse @ sk_c9) = (sk_c9)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1528])).
% 1.25/1.02 thf(zip_derived_cl549, plain, (((inverse @ identity) = (identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl1057, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c9)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl606])).
% 1.25/1.02 thf(prove_this_9, conjecture,
% 1.25/1.02 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.25/1.02 thf(zf_stmt_11, negated_conjecture,
% 1.25/1.02 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.25/1.02 thf(zip_derived_cl11, plain,
% 1.25/1.02 ((((multiply @ sk_c4 @ sk_c9) = (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.25/1.02 thf(zip_derived_cl1089, plain,
% 1.25/1.02 ((((multiply @ sk_c4 @ identity) = (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl1057, zip_derived_cl11])).
% 1.25/1.02 thf(zip_derived_cl1111, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((multiply @ sk_c4 @ identity) = (sk_c10)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1089])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl1556, plain,
% 1.25/1.02 ((((sk_c10) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl1111, zip_derived_cl564])).
% 1.25/1.02 thf(prove_this_8, conjecture,
% 1.25/1.02 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.25/1.02 thf(zf_stmt_12, negated_conjecture,
% 1.25/1.02 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.25/1.02 thf(zip_derived_cl10, plain,
% 1.25/1.02 ((((inverse @ sk_c4) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.25/1.02 thf(zip_derived_cl1564, plain,
% 1.25/1.02 ((((inverse @ sk_c10) = (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl1556, zip_derived_cl10])).
% 1.25/1.02 thf(zip_derived_cl1572, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10)) | ((inverse @ sk_c10) = (sk_c10)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1564])).
% 1.25/1.02 thf(zip_derived_cl1331, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl1326, zip_derived_cl1242])).
% 1.25/1.02 thf(zip_derived_cl1572, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10)) | ((inverse @ sk_c10) = (sk_c10)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1564])).
% 1.25/1.02 thf(zip_derived_cl1057, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c9)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl606])).
% 1.25/1.02 thf(zip_derived_cl1062, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/1.02 (((multiply @ (inverse @ X4) @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ X3) != (identity))
% 1.25/1.02 | ((X2) != (sk_c10))
% 1.25/1.02 | ((inverse @ X2) != (sk_c10))
% 1.25/1.02 | ((X1) != (sk_c10))
% 1.25/1.02 | ((inverse @ X1) != (sk_c10))
% 1.25/1.02 | ((inverse @ X0) != (identity))
% 1.25/1.02 | ((X0) != (sk_c8))
% 1.25/1.02 | ((identity) != (sk_c9)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1061])).
% 1.25/1.02 thf(zip_derived_cl1294, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/1.02 (((identity) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((X0) != (sk_c8))
% 1.25/1.02 | ((inverse @ X0) != (identity))
% 1.25/1.02 | ((inverse @ X1) != (sk_c10))
% 1.25/1.02 | ((X1) != (sk_c10))
% 1.25/1.02 | ((inverse @ X2) != (sk_c10))
% 1.25/1.02 | ((X2) != (sk_c10))
% 1.25/1.02 | ((inverse @ X3) != (identity))
% 1.25/1.02 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ (inverse @ X4) @ sk_c8) != (identity)))),
% 1.25/1.02 inference('sup-', [status(thm)], [zip_derived_cl1057, zip_derived_cl1062])).
% 1.25/1.02 thf(zip_derived_cl1295, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/1.02 (((multiply @ (inverse @ X4) @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ X3) != (identity))
% 1.25/1.02 | ((X2) != (sk_c10))
% 1.25/1.02 | ((inverse @ X2) != (sk_c10))
% 1.25/1.02 | ((X1) != (sk_c10))
% 1.25/1.02 | ((inverse @ X1) != (sk_c10))
% 1.25/1.02 | ((inverse @ X0) != (identity))
% 1.25/1.02 | ((X0) != (sk_c8))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1294])).
% 1.25/1.02 thf(zip_derived_cl1915, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.25/1.02 (((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((X0) != (sk_c8))
% 1.25/1.02 | ((inverse @ X0) != (identity))
% 1.25/1.02 | ((inverse @ X1) != (sk_c10))
% 1.25/1.02 | ((X1) != (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c10) != (sk_c10))
% 1.25/1.02 | ((inverse @ X2) != (identity))
% 1.25/1.02 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ (inverse @ X3) @ sk_c8) != (identity)))),
% 1.25/1.02 inference('eq_res', [status(thm)], [zip_derived_cl1295])).
% 1.25/1.02 thf(zip_derived_cl1916, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.25/1.02 (((sk_c10) != (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ X1) != (identity))
% 1.25/1.02 | ((X2) != (sk_c10))
% 1.25/1.02 | ((inverse @ X2) != (sk_c10))
% 1.25/1.02 | ((inverse @ X3) != (identity))
% 1.25/1.02 | ((X3) != (sk_c8))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('sup-', [status(thm)], [zip_derived_cl1572, zip_derived_cl1915])).
% 1.25/1.02 thf(zip_derived_cl1917, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.25/1.02 (((X3) != (sk_c8))
% 1.25/1.02 | ((inverse @ X3) != (identity))
% 1.25/1.02 | ((inverse @ X2) != (sk_c10))
% 1.25/1.02 | ((X2) != (sk_c10))
% 1.25/1.02 | ((inverse @ X1) != (identity))
% 1.25/1.02 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1916])).
% 1.25/1.02 thf(zip_derived_cl1927, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/1.02 (((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ X1) != (identity))
% 1.25/1.02 | ((X2) != (sk_c10))
% 1.25/1.02 | ((inverse @ X2) != (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c8) != (identity)))),
% 1.25/1.02 inference('eq_res', [status(thm)], [zip_derived_cl1917])).
% 1.25/1.02 thf(zip_derived_cl1938, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/1.02 (((inverse @ identity) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((inverse @ X0) != (sk_c10))
% 1.25/1.02 | ((X0) != (sk_c10))
% 1.25/1.02 | ((inverse @ X1) != (identity))
% 1.25/1.02 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ (inverse @ X2) @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('sup-', [status(thm)], [zip_derived_cl1331, zip_derived_cl1927])).
% 1.25/1.02 thf(zip_derived_cl549, plain, (((inverse @ identity) = (identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl1949, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/1.02 (((identity) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((inverse @ X0) != (sk_c10))
% 1.25/1.02 | ((X0) != (sk_c10))
% 1.25/1.02 | ((inverse @ X1) != (identity))
% 1.25/1.02 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ (inverse @ X2) @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl1938, zip_derived_cl549])).
% 1.25/1.02 thf(zip_derived_cl1950, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/1.02 (((multiply @ (inverse @ X2) @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ X1) != (identity))
% 1.25/1.02 | ((X0) != (sk_c10))
% 1.25/1.02 | ((inverse @ X0) != (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1949])).
% 1.25/1.02 thf(zip_derived_cl1952, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 (((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c10) != (sk_c10))
% 1.25/1.02 | ((inverse @ X0) != (identity))
% 1.25/1.02 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ (inverse @ X1) @ sk_c8) != (identity)))),
% 1.25/1.02 inference('eq_res', [status(thm)], [zip_derived_cl1950])).
% 1.25/1.02 thf(zip_derived_cl1953, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 (((sk_c10) != (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ X1) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('sup-', [status(thm)], [zip_derived_cl1572, zip_derived_cl1952])).
% 1.25/1.02 thf(zip_derived_cl1954, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 (((inverse @ X1) != (identity))
% 1.25/1.02 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl1953])).
% 1.25/1.02 thf(zip_derived_cl2050, plain,
% 1.25/1.02 (![X0 : $i]:
% 1.25/1.02 (((identity) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ identity @ sk_c8) != (identity)))),
% 1.25/1.02 inference('sup-', [status(thm)], [zip_derived_cl549, zip_derived_cl1954])).
% 1.25/1.02 thf(zip_derived_cl0, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_identity])).
% 1.25/1.02 thf(zip_derived_cl2075, plain,
% 1.25/1.02 (![X0 : $i]:
% 1.25/1.02 (((identity) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity))
% 1.25/1.02 | ((sk_c8) != (identity)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl2050, zip_derived_cl0])).
% 1.25/1.02 thf(zip_derived_cl2076, plain,
% 1.25/1.02 (![X0 : $i]:
% 1.25/1.02 (((sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ (inverse @ X0) @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2075])).
% 1.25/1.02 thf(zip_derived_cl2077, plain,
% 1.25/1.02 (![X0 : $i]:
% 1.25/1.02 (((sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ (inverse @ X0) @ identity) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('local_rewriting', [status(thm)], [zip_derived_cl2076])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl2102, plain,
% 1.25/1.02 (![X0 : $i]:
% 1.25/1.02 (((sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ X0) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl2077, zip_derived_cl564])).
% 1.25/1.02 thf(zip_derived_cl1331, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl1326, zip_derived_cl1242])).
% 1.25/1.02 thf(zip_derived_cl2103, plain,
% 1.25/1.02 (![X0 : $i]:
% 1.25/1.02 (((inverse @ sk_c1) = (sk_c10)) | ((inverse @ X0) != (identity)))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2102, zip_derived_cl1331])).
% 1.25/1.02 thf(zip_derived_cl2107, plain,
% 1.25/1.02 ((((sk_c9) != (identity))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.25/1.02 inference('sup-', [status(thm)], [zip_derived_cl1538, zip_derived_cl2103])).
% 1.25/1.02 thf(zip_derived_cl2132, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10)) | ((sk_c9) != (identity)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2107])).
% 1.25/1.02 thf(zip_derived_cl1057, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c9)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl606])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl2209, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/1.02 (((multiply @ (inverse @ X4) @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ X3) != (identity))
% 1.25/1.02 | ((X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X0) != (identity))
% 1.25/1.02 | ((X0) != (sk_c8))
% 1.25/1.02 | ((identity) != (sk_c9)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl1062, zip_derived_cl2153, zip_derived_cl2153,
% 1.25/1.02 zip_derived_cl2153, zip_derived_cl2153])).
% 1.25/1.02 thf(prove_this_6, conjecture,
% 1.25/1.02 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 1.25/1.02 thf(zf_stmt_13, negated_conjecture,
% 1.25/1.02 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.25/1.02 thf(zip_derived_cl8, plain,
% 1.25/1.02 ((((inverse @ sk_c6) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c10) = (sk_c9)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl606, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl2159, plain,
% 1.25/1.02 ((((inverse @ sk_c6) = (sk_c7)) | ((identity) = (sk_c9)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl8, zip_derived_cl2153, zip_derived_cl606])).
% 1.25/1.02 thf(prove_this_5, conjecture,
% 1.25/1.02 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 1.25/1.02 thf(zf_stmt_14, negated_conjecture,
% 1.25/1.02 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.25/1.02 thf(zip_derived_cl7, plain,
% 1.25/1.02 ((((multiply @ sk_c6 @ sk_c7) = (sk_c9))
% 1.25/1.02 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl606, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl2158, plain,
% 1.25/1.02 ((((multiply @ sk_c6 @ sk_c7) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl7, zip_derived_cl2153, zip_derived_cl606])).
% 1.25/1.02 thf(zip_derived_cl2356, plain,
% 1.25/1.02 ((((multiply @ sk_c6 @ (inverse @ sk_c6)) = (sk_c9))
% 1.25/1.02 | ((identity) = (sk_c9))
% 1.25/1.02 | ((identity) = (sk_c9)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl2159, zip_derived_cl2158])).
% 1.25/1.02 thf(zip_derived_cl606, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl2359, plain,
% 1.25/1.02 ((((identity) = (sk_c9))
% 1.25/1.02 | ((identity) = (sk_c9))
% 1.25/1.02 | ((identity) = (sk_c9)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl2356, zip_derived_cl606])).
% 1.25/1.02 thf(zip_derived_cl2360, plain, (((identity) = (sk_c9))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2359])).
% 1.25/1.02 thf(zip_derived_cl2399, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/1.02 (((multiply @ (inverse @ X4) @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ X3) != (identity))
% 1.25/1.02 | ((X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X0) != (identity))
% 1.25/1.02 | ((X0) != (sk_c8))
% 1.25/1.02 | ((identity) != (identity)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl2209, zip_derived_cl2360])).
% 1.25/1.02 thf(zip_derived_cl2400, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.25/1.02 (((X0) != (sk_c8))
% 1.25/1.02 | ((inverse @ X0) != (identity))
% 1.25/1.02 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X3) != (identity))
% 1.25/1.02 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ (inverse @ X4) @ sk_c8) != (identity)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2399])).
% 1.25/1.02 thf(zip_derived_cl2405, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.25/1.02 (((multiply @ (inverse @ X0) @ sk_c8) != (identity))
% 1.25/1.02 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.25/1.02 | ((inverse @ X1) != (identity))
% 1.25/1.02 | ((X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((X3) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X3) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ sk_c8) != (identity)))),
% 1.25/1.02 inference('eq_res', [status(thm)], [zip_derived_cl2400])).
% 1.25/1.02 thf(prove_this_24, conjecture,
% 1.25/1.02 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.25/1.02 thf(zf_stmt_15, negated_conjecture,
% 1.25/1.02 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.25/1.02 thf(zip_derived_cl26, plain,
% 1.25/1.02 ((((inverse @ sk_c5) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl75, plain,
% 1.25/1.02 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 1.25/1.02 | ((inverse @ sk_c5) = (sk_c9)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl165, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl0])).
% 1.25/1.02 thf(zip_derived_cl193, plain,
% 1.25/1.02 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.25/1.02 | ((inverse @ sk_c5) = (sk_c9)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl165])).
% 1.25/1.02 thf(prove_this_17, conjecture,
% 1.25/1.02 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.25/1.02 thf(zf_stmt_16, negated_conjecture,
% 1.25/1.02 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.25/1.02 thf(zip_derived_cl19, plain,
% 1.25/1.02 ((((inverse @ sk_c5) = (sk_c9)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.25/1.02 thf(zip_derived_cl437, plain,
% 1.25/1.02 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.25/1.02 = (sk_c8))
% 1.25/1.02 | ((inverse @ sk_c5) = (sk_c9))
% 1.25/1.02 | ((inverse @ sk_c5) = (sk_c9)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl19])).
% 1.25/1.02 thf(zip_derived_cl2, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/1.02 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.25/1.02 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.25/1.02 inference('cnf', [status(esa)], [associativity])).
% 1.25/1.02 thf(zip_derived_cl0, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_identity])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl454, plain,
% 1.25/1.02 ((((identity) = (sk_c8))
% 1.25/1.02 | ((inverse @ sk_c5) = (sk_c9))
% 1.25/1.02 | ((inverse @ sk_c5) = (sk_c9)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl437, zip_derived_cl2, zip_derived_cl0,
% 1.25/1.02 zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl455, plain,
% 1.25/1.02 ((((inverse @ sk_c5) = (sk_c9)) | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl454])).
% 1.25/1.02 thf(zip_derived_cl2360, plain, (((identity) = (sk_c9))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2359])).
% 1.25/1.02 thf(zip_derived_cl2373, plain,
% 1.25/1.02 ((((inverse @ sk_c5) = (identity)) | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl455, zip_derived_cl2360])).
% 1.25/1.02 thf(zip_derived_cl1309, plain,
% 1.25/1.02 ((((multiply @ (inverse @ sk_c5) @ sk_c9) != (identity))
% 1.25/1.02 | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('eq_fact', [status(thm)], [zip_derived_cl1219])).
% 1.25/1.02 thf(zip_derived_cl2360, plain, (((identity) = (sk_c9))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2359])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl2388, plain,
% 1.25/1.02 ((((inverse @ sk_c5) != (identity)) | ((identity) = (sk_c8)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl1309, zip_derived_cl2360, zip_derived_cl564])).
% 1.25/1.02 thf(zip_derived_cl2421, plain, (((identity) = (sk_c8))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2373, zip_derived_cl2388])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl2421, plain, (((identity) = (sk_c8))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2373, zip_derived_cl2388])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl2421, plain, (((identity) = (sk_c8))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2373, zip_derived_cl2388])).
% 1.25/1.02 thf(zip_derived_cl549, plain, (((inverse @ identity) = (identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl2428, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.25/1.02 (((inverse @ X0) != (identity))
% 1.25/1.02 | ((X1) != (identity))
% 1.25/1.02 | ((inverse @ X1) != (identity))
% 1.25/1.02 | ((X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((X3) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X3) != (inverse @ sk_c1))
% 1.25/1.02 | ((identity) != (identity)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl2405, zip_derived_cl2421, zip_derived_cl564,
% 1.25/1.02 zip_derived_cl2421, zip_derived_cl564, zip_derived_cl2421,
% 1.25/1.02 zip_derived_cl549])).
% 1.25/1.02 thf(zip_derived_cl2429, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.25/1.02 (((inverse @ X3) != (inverse @ sk_c1))
% 1.25/1.02 | ((X3) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X1) != (identity))
% 1.25/1.02 | ((X1) != (identity))
% 1.25/1.02 | ((inverse @ X0) != (identity)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2428])).
% 1.25/1.02 thf(zip_derived_cl2447, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/1.02 (((inverse @ X0) != (identity))
% 1.25/1.02 | ((inverse @ identity) != (identity))
% 1.25/1.02 | ((X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X2) != (inverse @ sk_c1)))),
% 1.25/1.02 inference('eq_res', [status(thm)], [zip_derived_cl2429])).
% 1.25/1.02 thf(zip_derived_cl549, plain, (((inverse @ identity) = (identity))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl2448, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/1.02 (((inverse @ X0) != (identity))
% 1.25/1.02 | ((identity) != (identity))
% 1.25/1.02 | ((X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X2) != (inverse @ sk_c1)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl2447, zip_derived_cl549])).
% 1.25/1.02 thf(zip_derived_cl2449, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.25/1.02 (((inverse @ X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((X2) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X0) != (identity)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2448])).
% 1.25/1.02 thf(zip_derived_cl2450, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 (((identity) != (identity))
% 1.25/1.02 | ((X0) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.25/1.02 | ((X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X1) != (inverse @ sk_c1)))),
% 1.25/1.02 inference('sup-', [status(thm)], [zip_derived_cl549, zip_derived_cl2449])).
% 1.25/1.02 thf(zip_derived_cl2452, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 (((inverse @ X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((X1) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.25/1.02 | ((X0) != (inverse @ sk_c1)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2450])).
% 1.25/1.02 thf(zip_derived_cl2453, plain,
% 1.25/1.02 (![X0 : $i]:
% 1.25/1.02 (((X0) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ (inverse @ sk_c1)) != (inverse @ sk_c1)))),
% 1.25/1.02 inference('eq_res', [status(thm)], [zip_derived_cl2452])).
% 1.25/1.02 thf(zip_derived_cl601, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl181])).
% 1.25/1.02 thf(zip_derived_cl2454, plain,
% 1.25/1.02 (![X0 : $i]:
% 1.25/1.02 (((X0) != (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.25/1.02 | ((sk_c1) != (inverse @ sk_c1)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl2453, zip_derived_cl601])).
% 1.25/1.02 thf(zip_derived_cl2455, plain,
% 1.25/1.02 (![X0 : $i]:
% 1.25/1.02 (((X0) != (sk_c1))
% 1.25/1.02 | ((inverse @ X0) != (sk_c1))
% 1.25/1.02 | ((sk_c1) != (inverse @ sk_c1)))),
% 1.25/1.02 inference('local_rewriting', [status(thm)], [zip_derived_cl2454])).
% 1.25/1.02 thf(prove_this_37, conjecture,
% 1.25/1.02 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 1.25/1.02 thf(zf_stmt_17, negated_conjecture,
% 1.25/1.02 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c10 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 1.25/1.02 thf(zip_derived_cl39, plain,
% 1.25/1.02 ((((multiply @ sk_c4 @ sk_c9) = (sk_c10))
% 1.25/1.02 | ((multiply @ sk_c3 @ sk_c9) = (sk_c10)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl2173, plain,
% 1.25/1.02 ((((multiply @ sk_c4 @ sk_c9) = (inverse @ sk_c1))
% 1.25/1.02 | ((multiply @ sk_c3 @ sk_c9) = (inverse @ sk_c1)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl39, zip_derived_cl2153, zip_derived_cl2153])).
% 1.25/1.02 thf(zip_derived_cl2360, plain, (((identity) = (sk_c9))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2359])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl2360, plain, (((identity) = (sk_c9))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2359])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl3840, plain,
% 1.25/1.02 ((((sk_c4) = (inverse @ sk_c1)) | ((sk_c3) = (inverse @ sk_c1)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl2173, zip_derived_cl2360, zip_derived_cl564,
% 1.25/1.02 zip_derived_cl2360, zip_derived_cl564])).
% 1.25/1.02 thf(prove_this_30, conjecture,
% 1.25/1.02 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c3 ) = ( sk_c10 ) ) ))).
% 1.25/1.02 thf(zf_stmt_18, negated_conjecture,
% 1.25/1.02 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c3 ) = ( sk_c10 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.25/1.02 thf(zip_derived_cl32, plain,
% 1.25/1.02 ((((multiply @ sk_c4 @ sk_c9) = (sk_c10))
% 1.25/1.02 | ((inverse @ sk_c3) = (sk_c10)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.25/1.02 thf(zip_derived_cl601, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl181])).
% 1.25/1.02 thf(zip_derived_cl625, plain,
% 1.25/1.02 ((((sk_c3) = (inverse @ sk_c10))
% 1.25/1.02 | ((multiply @ sk_c4 @ sk_c9) = (sk_c10)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl601])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl601, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl181])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl2202, plain,
% 1.25/1.02 ((((sk_c3) = (sk_c1)) | ((multiply @ sk_c4 @ sk_c9) = (inverse @ sk_c1)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl625, zip_derived_cl2153, zip_derived_cl601,
% 1.25/1.02 zip_derived_cl2153])).
% 1.25/1.02 thf(zip_derived_cl2360, plain, (((identity) = (sk_c9))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2359])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl2526, plain,
% 1.25/1.02 ((((sk_c3) = (sk_c1)) | ((sk_c4) = (inverse @ sk_c1)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl2202, zip_derived_cl2360, zip_derived_cl564])).
% 1.25/1.02 thf(zip_derived_cl3849, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c1))
% 1.25/1.02 | ((sk_c4) = (inverse @ sk_c1))
% 1.25/1.02 | ((sk_c4) = (inverse @ sk_c1)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl3840, zip_derived_cl2526])).
% 1.25/1.02 thf(zip_derived_cl3850, plain,
% 1.25/1.02 ((((sk_c4) = (inverse @ sk_c1)) | ((inverse @ sk_c1) = (sk_c1)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl3849])).
% 1.25/1.02 thf(prove_this_36, conjecture,
% 1.25/1.02 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 1.25/1.02 thf(zf_stmt_19, negated_conjecture,
% 1.25/1.02 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.25/1.02 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c10 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 1.25/1.02 thf(zip_derived_cl38, plain,
% 1.25/1.02 ((((inverse @ sk_c4) = (sk_c10))
% 1.25/1.02 | ((multiply @ sk_c3 @ sk_c9) = (sk_c10)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl2172, plain,
% 1.25/1.02 ((((inverse @ sk_c4) = (inverse @ sk_c1))
% 1.25/1.02 | ((multiply @ sk_c3 @ sk_c9) = (inverse @ sk_c1)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl38, zip_derived_cl2153, zip_derived_cl2153])).
% 1.25/1.02 thf(zip_derived_cl2360, plain, (((identity) = (sk_c9))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2359])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl2994, plain,
% 1.25/1.02 ((((inverse @ sk_c4) = (inverse @ sk_c1)) | ((sk_c3) = (inverse @ sk_c1)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl2172, zip_derived_cl2360, zip_derived_cl564])).
% 1.25/1.02 thf(prove_this_29, conjecture,
% 1.25/1.02 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c3 ) = ( sk_c10 ) ) ))).
% 1.25/1.02 thf(zf_stmt_20, negated_conjecture,
% 1.25/1.02 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.25/1.02 ( ( inverse @ sk_c3 ) = ( sk_c10 ) )),
% 1.25/1.02 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 1.25/1.02 thf(zip_derived_cl31, plain,
% 1.25/1.02 ((((inverse @ sk_c4) = (sk_c10)) | ((inverse @ sk_c3) = (sk_c10)))),
% 1.25/1.02 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.25/1.02 thf(zip_derived_cl1, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.25/1.02 inference('cnf', [status(esa)], [left_inverse])).
% 1.25/1.02 thf(zip_derived_cl79, plain,
% 1.25/1.02 ((((multiply @ sk_c10 @ sk_c3) = (identity))
% 1.25/1.02 | ((inverse @ sk_c4) = (sk_c10)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 1.25/1.02 thf(zip_derived_cl165, plain,
% 1.25/1.02 (![X0 : $i, X1 : $i]:
% 1.25/1.02 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl0])).
% 1.25/1.02 thf(zip_derived_cl187, plain,
% 1.25/1.02 ((((sk_c3) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.25/1.02 | ((inverse @ sk_c4) = (sk_c10)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl165])).
% 1.25/1.02 thf(zip_derived_cl564, plain,
% 1.25/1.02 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl178])).
% 1.25/1.02 thf(zip_derived_cl589, plain,
% 1.25/1.02 ((((sk_c3) = (inverse @ sk_c10)) | ((inverse @ sk_c4) = (sk_c10)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl187, zip_derived_cl564])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl601, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl181])).
% 1.25/1.02 thf(zip_derived_cl2153, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.25/1.02 inference('clc', [status(thm)], [zip_derived_cl2132, zip_derived_cl1057])).
% 1.25/1.02 thf(zip_derived_cl2196, plain,
% 1.25/1.02 ((((sk_c3) = (sk_c1)) | ((inverse @ sk_c4) = (inverse @ sk_c1)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl589, zip_derived_cl2153, zip_derived_cl601,
% 1.25/1.02 zip_derived_cl2153])).
% 1.25/1.02 thf(zip_derived_cl2996, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c1))
% 1.25/1.02 | ((inverse @ sk_c4) = (inverse @ sk_c1))
% 1.25/1.02 | ((inverse @ sk_c4) = (inverse @ sk_c1)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl2994, zip_derived_cl2196])).
% 1.25/1.02 thf(zip_derived_cl3002, plain,
% 1.25/1.02 ((((inverse @ sk_c4) = (inverse @ sk_c1)) | ((inverse @ sk_c1) = (sk_c1)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl2996])).
% 1.25/1.02 thf(zip_derived_cl601, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl181])).
% 1.25/1.02 thf(zip_derived_cl3057, plain,
% 1.25/1.02 ((((sk_c4) = (inverse @ (inverse @ sk_c1)))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c1)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl3002, zip_derived_cl601])).
% 1.25/1.02 thf(zip_derived_cl601, plain,
% 1.25/1.02 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl181])).
% 1.25/1.02 thf(zip_derived_cl3061, plain,
% 1.25/1.02 ((((sk_c4) = (sk_c1)) | ((inverse @ sk_c1) = (sk_c1)))),
% 1.25/1.02 inference('demod', [status(thm)], [zip_derived_cl3057, zip_derived_cl601])).
% 1.25/1.02 thf(zip_derived_cl3904, plain,
% 1.25/1.02 ((((inverse @ sk_c1) = (sk_c1))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c1))
% 1.25/1.02 | ((inverse @ sk_c1) = (sk_c1)))),
% 1.25/1.02 inference('sup+', [status(thm)], [zip_derived_cl3850, zip_derived_cl3061])).
% 1.25/1.02 thf(zip_derived_cl3905, plain, (((inverse @ sk_c1) = (sk_c1))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl3904])).
% 1.25/1.02 thf(zip_derived_cl3911, plain,
% 1.25/1.02 (![X0 : $i]:
% 1.25/1.02 (((X0) != (sk_c1))
% 1.25/1.02 | ((inverse @ X0) != (sk_c1))
% 1.25/1.02 | ((sk_c1) != (sk_c1)))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl2455, zip_derived_cl3905])).
% 1.25/1.02 thf(zip_derived_cl3912, plain,
% 1.25/1.02 (![X0 : $i]: (((inverse @ X0) != (sk_c1)) | ((X0) != (sk_c1)))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl3911])).
% 1.25/1.02 thf(zip_derived_cl3938, plain, (((inverse @ sk_c1) != (sk_c1))),
% 1.25/1.02 inference('eq_res', [status(thm)], [zip_derived_cl3912])).
% 1.25/1.02 thf(zip_derived_cl3905, plain, (((inverse @ sk_c1) = (sk_c1))),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl3904])).
% 1.25/1.02 thf(zip_derived_cl3939, plain, (((sk_c1) != (sk_c1))),
% 1.25/1.02 inference('demod', [status(thm)],
% 1.25/1.02 [zip_derived_cl3938, zip_derived_cl3905])).
% 1.25/1.02 thf(zip_derived_cl3940, plain, ($false),
% 1.25/1.02 inference('simplify', [status(thm)], [zip_derived_cl3939])).
% 1.25/1.02
% 1.25/1.02 % SZS output end Refutation
% 1.25/1.02
% 1.25/1.02
% 1.25/1.02 % Terminating...
% 1.68/1.17 % Runner terminated.
% 1.68/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------