TSTP Solution File: GRP209-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP209-1 : 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.u7DIMc411R true
% Computer : n011.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 01:50:43 EDT 2023
% Result : Unsatisfiable 1.32s 1.04s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.16 % Problem : GRP209-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.u7DIMc411R true
% 0.15/0.38 % Computer : n011.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Tue Aug 29 01:12:26 EDT 2023
% 0.15/0.39 % CPUTime :
% 0.15/0.39 % Running portfolio for 300 s
% 0.15/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.39 % Number of cores: 8
% 0.15/0.39 % Python version: Python 3.6.8
% 0.15/0.39 % Running in FO mode
% 0.22/0.70 % Total configuration time : 435
% 0.22/0.70 % Estimated wc time : 1092
% 0.22/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.92/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.20/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/1.04 % Solved by fo/fo7.sh.
% 1.32/1.04 % done 458 iterations in 0.227s
% 1.32/1.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.32/1.04 % SZS output start Refutation
% 1.32/1.04 thf(sk_c10_type, type, sk_c10: $i).
% 1.32/1.04 thf(sk_c4_type, type, sk_c4: $i).
% 1.32/1.04 thf(sk_c6_type, type, sk_c6: $i).
% 1.32/1.04 thf(sk_c9_type, type, sk_c9: $i).
% 1.32/1.04 thf(identity_type, type, identity: $i).
% 1.32/1.04 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.32/1.04 thf(sk_c2_type, type, sk_c2: $i).
% 1.32/1.04 thf(inverse_type, type, inverse: $i > $i).
% 1.32/1.04 thf(sk_c5_type, type, sk_c5: $i).
% 1.32/1.04 thf(sk_c3_type, type, sk_c3: $i).
% 1.32/1.04 thf(sk_c1_type, type, sk_c1: $i).
% 1.32/1.04 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.32/1.04 thf(zip_derived_cl0, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.32/1.04 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.32/1.04 thf(zip_derived_cl1, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/1.04 thf(associativity, axiom,
% 1.32/1.04 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.32/1.04 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.32/1.04 thf(zip_derived_cl2, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.04 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/1.04 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/1.04 inference('cnf', [status(esa)], [associativity])).
% 1.32/1.04 thf(zip_derived_cl131, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 ((multiply @ identity @ X0)
% 1.32/1.04 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.32/1.04 thf(zip_derived_cl0, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.32/1.04 thf(zip_derived_cl166, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl178, plain,
% 1.32/1.04 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl166])).
% 1.32/1.04 thf(zip_derived_cl166, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl228, plain,
% 1.32/1.04 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl166])).
% 1.32/1.04 thf(zip_derived_cl1, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/1.04 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl1, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/1.04 thf(zip_derived_cl166, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl179, plain,
% 1.32/1.04 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl166])).
% 1.32/1.04 thf(zip_derived_cl166, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl166, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl176, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl166])).
% 1.32/1.04 thf(zip_derived_cl1379, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.32/1.04 thf(zip_derived_cl179, plain,
% 1.32/1.04 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl166])).
% 1.32/1.04 thf(zip_derived_cl1421, plain,
% 1.32/1.04 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl1379, zip_derived_cl179])).
% 1.32/1.04 thf(prove_this_43, conjecture,
% 1.32/1.04 (~( ( ( multiply @ X3 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.32/1.04 ( ( inverse @ X4 ) != ( X3 ) ) |
% 1.32/1.04 ( ( multiply @ X4 @ X3 ) != ( sk_c9 ) ) |
% 1.32/1.04 ( ( inverse @ X2 ) != ( sk_c9 ) ) |
% 1.32/1.04 ( ( multiply @ X2 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ X8 ) != ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ X8 @ sk_c10 ) != ( X7 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c10 @ X7 ) != ( sk_c9 ) ) |
% 1.32/1.04 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.32/1.04 ( ( multiply @ X5 @ X6 ) != ( sk_c10 ) ) ))).
% 1.32/1.04 thf(zf_stmt_0, negated_conjecture,
% 1.32/1.04 (( ( multiply @ X3 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.32/1.04 ( ( inverse @ X4 ) != ( X3 ) ) |
% 1.32/1.04 ( ( multiply @ X4 @ X3 ) != ( sk_c9 ) ) |
% 1.32/1.04 ( ( inverse @ X2 ) != ( sk_c9 ) ) |
% 1.32/1.04 ( ( multiply @ X2 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ X1 ) != ( sk_c10 ) ) | ( ( inverse @ X8 ) != ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ X8 @ sk_c10 ) != ( X7 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c10 @ X7 ) != ( sk_c9 ) ) |
% 1.32/1.04 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ X5 ) != ( X6 ) ) | ( ( multiply @ X5 @ X6 ) != ( sk_c10 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_43])).
% 1.32/1.04 thf(zip_derived_cl45, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.32/1.04 (((multiply @ X0 @ sk_c10) != (sk_c9))
% 1.32/1.04 | ((inverse @ X1) != (X0))
% 1.32/1.04 | ((multiply @ X1 @ X0) != (sk_c9))
% 1.32/1.04 | ((inverse @ X2) != (sk_c9))
% 1.32/1.04 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((multiply @ X3 @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((inverse @ X3) != (sk_c10))
% 1.32/1.04 | ((inverse @ X4) != (sk_c10))
% 1.32/1.04 | ((multiply @ X4 @ sk_c10) != (X5))
% 1.32/1.04 | ((multiply @ sk_c10 @ X5) != (sk_c9))
% 1.32/1.04 | ((multiply @ X6 @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((inverse @ X7) != (X6))
% 1.32/1.04 | ((multiply @ X7 @ X6) != (sk_c10)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.32/1.04 thf(zip_derived_cl46, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.32/1.04 (((multiply @ X1 @ X0) != (sk_c10))
% 1.32/1.04 | ((inverse @ X1) != (X0))
% 1.32/1.04 | ((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((multiply @ sk_c10 @ X2) != (sk_c9))
% 1.32/1.04 | ((multiply @ X3 @ sk_c10) != (X2))
% 1.32/1.04 | ((inverse @ X3) != (sk_c10))
% 1.32/1.04 | ((inverse @ X4) != (sk_c10))
% 1.32/1.04 | ((multiply @ X4 @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((multiply @ X5 @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((inverse @ X5) != (sk_c9))
% 1.32/1.04 | ((multiply @ X6 @ (inverse @ X6)) != (sk_c9))
% 1.32/1.04 | ((multiply @ (inverse @ X6) @ sk_c10) != (sk_c9)))),
% 1.32/1.04 inference('eq_res', [status(thm)], [zip_derived_cl45])).
% 1.32/1.04 thf(zip_derived_cl47, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.32/1.04 (((multiply @ (inverse @ X0) @ sk_c10) != (sk_c9))
% 1.32/1.04 | ((multiply @ X0 @ (inverse @ X0)) != (sk_c9))
% 1.32/1.04 | ((inverse @ X1) != (sk_c9))
% 1.32/1.04 | ((multiply @ X1 @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((inverse @ X2) != (sk_c10))
% 1.32/1.04 | ((inverse @ X3) != (sk_c10))
% 1.32/1.04 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.32/1.04 | ((multiply @ sk_c10 @ X4) != (sk_c9))
% 1.32/1.04 | ((multiply @ (inverse @ X5) @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((multiply @ X5 @ (inverse @ X5)) != (sk_c10)))),
% 1.32/1.04 inference('eq_res', [status(thm)], [zip_derived_cl46])).
% 1.32/1.04 thf(zip_derived_cl1437, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.32/1.04 (((X0) != (sk_c9))
% 1.32/1.04 | ((multiply @ X1 @ (inverse @ X1)) != (sk_c10))
% 1.32/1.04 | ((multiply @ (inverse @ X1) @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((multiply @ sk_c10 @ X2) != (sk_c9))
% 1.32/1.04 | ((multiply @ X3 @ sk_c10) != (X2))
% 1.32/1.04 | ((inverse @ X3) != (sk_c10))
% 1.32/1.04 | ((inverse @ X4) != (sk_c10))
% 1.32/1.04 | ((multiply @ X4 @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((multiply @ (inverse @ X0) @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((multiply @ X5 @ (inverse @ X5)) != (sk_c9))
% 1.32/1.04 | ((multiply @ (inverse @ X5) @ sk_c10) != (sk_c9)))),
% 1.32/1.04 inference('sup-', [status(thm)], [zip_derived_cl1421, zip_derived_cl47])).
% 1.32/1.04 thf(zip_derived_cl1646, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.32/1.04 (((multiply @ (inverse @ X0) @ sk_c10) != (sk_c9))
% 1.32/1.04 | ((multiply @ X0 @ (inverse @ X0)) != (sk_c9))
% 1.32/1.04 | ((multiply @ (inverse @ sk_c9) @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((multiply @ X1 @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((inverse @ X1) != (sk_c10))
% 1.32/1.04 | ((inverse @ X2) != (sk_c10))
% 1.32/1.04 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.32/1.04 | ((multiply @ sk_c10 @ X3) != (sk_c9))
% 1.32/1.04 | ((multiply @ (inverse @ X4) @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((multiply @ X4 @ (inverse @ X4)) != (sk_c10)))),
% 1.32/1.04 inference('eq_res', [status(thm)], [zip_derived_cl1437])).
% 1.32/1.04 thf(zip_derived_cl1, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/1.04 thf(zip_derived_cl1647, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.32/1.04 (((multiply @ (inverse @ X0) @ sk_c10) != (sk_c9))
% 1.32/1.04 | ((multiply @ X0 @ (inverse @ X0)) != (sk_c9))
% 1.32/1.04 | ((identity) != (sk_c10))
% 1.32/1.04 | ((multiply @ X1 @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((inverse @ X1) != (sk_c10))
% 1.32/1.04 | ((inverse @ X2) != (sk_c10))
% 1.32/1.04 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.32/1.04 | ((multiply @ sk_c10 @ X3) != (sk_c9))
% 1.32/1.04 | ((multiply @ (inverse @ X4) @ sk_c9) != (sk_c10))
% 1.32/1.04 | ((multiply @ X4 @ (inverse @ X4)) != (sk_c10)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl1646, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl1648, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.32/1.04 (((multiply @ (inverse @ X0) @ identity) != (sk_c9))
% 1.32/1.04 | ((multiply @ X0 @ (inverse @ X0)) != (sk_c9))
% 1.32/1.04 | ((identity) != (sk_c10))
% 1.32/1.04 | ((multiply @ X1 @ sk_c9) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((multiply @ X2 @ identity) != (X3))
% 1.32/1.04 | ((multiply @ identity @ X3) != (sk_c9))
% 1.32/1.04 | ((multiply @ (inverse @ X4) @ sk_c9) != (identity))
% 1.32/1.04 | ((multiply @ X4 @ (inverse @ X4)) != (identity)))),
% 1.32/1.04 inference('local_rewriting', [status(thm)], [zip_derived_cl1647])).
% 1.32/1.04 thf(zip_derived_cl1379, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.32/1.04 thf(zip_derived_cl1379, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.32/1.04 thf(zip_derived_cl0, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.32/1.04 thf(zip_derived_cl1649, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.32/1.04 (((inverse @ X0) != (sk_c9))
% 1.32/1.04 | ((multiply @ X0 @ (inverse @ X0)) != (sk_c9))
% 1.32/1.04 | ((identity) != (sk_c10))
% 1.32/1.04 | ((multiply @ X1 @ sk_c9) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((X2) != (X3))
% 1.32/1.04 | ((X3) != (sk_c9))
% 1.32/1.04 | ((multiply @ (inverse @ X4) @ sk_c9) != (identity))
% 1.32/1.04 | ((multiply @ X4 @ (inverse @ X4)) != (identity)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl1648, zip_derived_cl1379, zip_derived_cl1379,
% 1.32/1.04 zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl1651, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((multiply @ X0 @ (inverse @ X0)) != (identity))
% 1.32/1.04 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 1.32/1.04 | ((X1) != (sk_c9))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((multiply @ X2 @ sk_c9) != (identity))
% 1.32/1.04 | ((identity) != (sk_c10))
% 1.32/1.04 | ((multiply @ X3 @ (inverse @ X3)) != (sk_c9))
% 1.32/1.04 | ((inverse @ X3) != (sk_c9)))),
% 1.32/1.04 inference('eq_res', [status(thm)], [zip_derived_cl1649])).
% 1.32/1.04 thf(zip_derived_cl1421, plain,
% 1.32/1.04 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl1379, zip_derived_cl179])).
% 1.32/1.04 thf(zip_derived_cl1, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/1.04 thf(zip_derived_cl1433, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl1421, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl1433, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl1421, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl2063, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((identity) != (identity))
% 1.32/1.04 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 1.32/1.04 | ((X1) != (sk_c9))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((multiply @ X2 @ sk_c9) != (identity))
% 1.32/1.04 | ((identity) != (sk_c10))
% 1.32/1.04 | ((identity) != (sk_c9))
% 1.32/1.04 | ((inverse @ X3) != (sk_c9)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl1651, zip_derived_cl1433, zip_derived_cl1433])).
% 1.32/1.04 thf(zip_derived_cl2064, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((inverse @ X3) != (sk_c9))
% 1.32/1.04 | ((identity) != (sk_c9))
% 1.32/1.04 | ((identity) != (sk_c10))
% 1.32/1.04 | ((multiply @ X2 @ sk_c9) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((X1) != (sk_c9))
% 1.32/1.04 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2063])).
% 1.32/1.04 thf(zip_derived_cl2065, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((inverse @ X3) != (identity))
% 1.32/1.04 | ((identity) != (sk_c9))
% 1.32/1.04 | ((identity) != (sk_c10))
% 1.32/1.04 | ((multiply @ X2 @ identity) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((multiply @ (inverse @ X0) @ identity) != (identity)))),
% 1.32/1.04 inference('local_rewriting', [status(thm)], [zip_derived_cl2064])).
% 1.32/1.04 thf(zip_derived_cl1379, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.32/1.04 thf(zip_derived_cl1379, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.32/1.04 thf(zip_derived_cl2066, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((inverse @ X3) != (identity))
% 1.32/1.04 | ((identity) != (sk_c9))
% 1.32/1.04 | ((identity) != (sk_c10))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl2065, zip_derived_cl1379, zip_derived_cl1379])).
% 1.32/1.04 thf(prove_this_4, conjecture,
% 1.32/1.04 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.32/1.04 thf(zf_stmt_1, negated_conjecture,
% 1.32/1.04 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.32/1.04 thf(zip_derived_cl6, plain,
% 1.32/1.04 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.32/1.04 thf(zip_derived_cl1, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/1.04 thf(zip_derived_cl64, plain,
% 1.32/1.04 ((((multiply @ sk_c9 @ sk_c6) = (identity))
% 1.32/1.04 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl166, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl199, plain,
% 1.32/1.04 ((((sk_c6) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.32/1.04 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl166])).
% 1.32/1.04 thf(zip_derived_cl1379, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.32/1.04 thf(zip_derived_cl1402, plain,
% 1.32/1.04 ((((sk_c6) = (inverse @ sk_c9)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl1379])).
% 1.32/1.04 thf(prove_this_3, conjecture,
% 1.32/1.04 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.32/1.04 thf(zf_stmt_2, negated_conjecture,
% 1.32/1.04 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.32/1.04 thf(zip_derived_cl5, plain,
% 1.32/1.04 ((((multiply @ sk_c6 @ sk_c9) = (sk_c10))
% 1.32/1.04 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.32/1.04 thf(zip_derived_cl1529, plain,
% 1.32/1.04 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c10))
% 1.32/1.04 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10))
% 1.32/1.04 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl1402, zip_derived_cl5])).
% 1.32/1.04 thf(zip_derived_cl1, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/1.04 thf(zip_derived_cl1546, plain,
% 1.32/1.04 ((((identity) = (sk_c10))
% 1.32/1.04 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10))
% 1.32/1.04 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl1529, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl1547, plain,
% 1.32/1.04 ((((multiply @ sk_c1 @ sk_c2) = (sk_c10)) | ((identity) = (sk_c10)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl1546])).
% 1.32/1.04 thf(zip_derived_cl1379, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.32/1.04 thf(prove_this_11, conjecture,
% 1.32/1.04 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.32/1.04 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 1.32/1.04 thf(zf_stmt_3, negated_conjecture,
% 1.32/1.04 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.32/1.04 thf(zip_derived_cl13, plain,
% 1.32/1.04 ((((inverse @ sk_c6) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.32/1.04 thf(prove_this_10, conjecture,
% 1.32/1.04 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 1.32/1.04 thf(zf_stmt_4, negated_conjecture,
% 1.32/1.04 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.32/1.04 thf(zip_derived_cl12, plain,
% 1.32/1.04 ((((multiply @ sk_c6 @ sk_c9) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.32/1.04 thf(zip_derived_cl166, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl201, plain,
% 1.32/1.04 ((((sk_c9) = (multiply @ (inverse @ sk_c6) @ sk_c10))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl166])).
% 1.32/1.04 thf(zip_derived_cl559, plain,
% 1.32/1.04 ((((sk_c9) = (multiply @ sk_c9 @ sk_c10))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl201])).
% 1.32/1.04 thf(zip_derived_cl564, plain,
% 1.32/1.04 ((((inverse @ sk_c1) = (sk_c2)) | ((sk_c9) = (multiply @ sk_c9 @ sk_c10)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl559])).
% 1.32/1.04 thf(zip_derived_cl166, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl585, plain,
% 1.32/1.04 ((((sk_c10) = (multiply @ (inverse @ sk_c9) @ sk_c9))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl564, zip_derived_cl166])).
% 1.32/1.04 thf(zip_derived_cl1, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/1.04 thf(zip_derived_cl595, plain,
% 1.32/1.04 ((((sk_c10) = (identity)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl585, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl595, plain,
% 1.32/1.04 ((((sk_c10) = (identity)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl585, zip_derived_cl1])).
% 1.32/1.04 thf(prove_this_8, conjecture,
% 1.32/1.04 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 1.32/1.04 thf(zf_stmt_5, negated_conjecture,
% 1.32/1.04 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.32/1.04 thf(zip_derived_cl10, plain,
% 1.32/1.04 ((((inverse @ sk_c5) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.32/1.04 thf(zip_derived_cl1, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/1.04 thf(zip_derived_cl48, plain,
% 1.32/1.04 ((((multiply @ sk_c10 @ sk_c5) = (identity))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl613, plain,
% 1.32/1.04 ((((multiply @ identity @ sk_c5) = (identity))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl595, zip_derived_cl48])).
% 1.32/1.04 thf(zip_derived_cl625, plain,
% 1.32/1.04 ((((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((multiply @ identity @ sk_c5) = (identity)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl613])).
% 1.32/1.04 thf(zip_derived_cl0, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.32/1.04 thf(zip_derived_cl686, plain,
% 1.32/1.04 ((((identity) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl625, zip_derived_cl0])).
% 1.32/1.04 thf(prove_this_9, conjecture,
% 1.32/1.04 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 1.32/1.04 thf(zf_stmt_6, negated_conjecture,
% 1.32/1.04 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.32/1.04 thf(zip_derived_cl11, plain,
% 1.32/1.04 ((((multiply @ sk_c5 @ sk_c9) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.32/1.04 thf(zip_derived_cl695, plain,
% 1.32/1.04 ((((multiply @ identity @ sk_c9) = (sk_c10))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl686, zip_derived_cl11])).
% 1.32/1.04 thf(zip_derived_cl705, plain,
% 1.32/1.04 ((((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((multiply @ identity @ sk_c9) = (sk_c10)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl695])).
% 1.32/1.04 thf(zip_derived_cl0, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.32/1.04 thf(zip_derived_cl713, plain,
% 1.32/1.04 ((((sk_c10) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl705, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl11, plain,
% 1.32/1.04 ((((multiply @ sk_c5 @ sk_c9) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.32/1.04 thf(zip_derived_cl737, plain,
% 1.32/1.04 ((((multiply @ sk_c5 @ sk_c10) = (sk_c10))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl713, zip_derived_cl11])).
% 1.32/1.04 thf(zip_derived_cl754, plain,
% 1.32/1.04 ((((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((multiply @ sk_c5 @ sk_c10) = (sk_c10)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl737])).
% 1.32/1.04 thf(zip_derived_cl870, plain,
% 1.32/1.04 ((((multiply @ sk_c5 @ identity) = (sk_c10))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl595, zip_derived_cl754])).
% 1.32/1.04 thf(zip_derived_cl874, plain,
% 1.32/1.04 ((((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((multiply @ sk_c5 @ identity) = (sk_c10)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl870])).
% 1.32/1.04 thf(zip_derived_cl1425, plain,
% 1.32/1.04 ((((sk_c5) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl1379, zip_derived_cl874])).
% 1.32/1.04 thf(zip_derived_cl10, plain,
% 1.32/1.04 ((((inverse @ sk_c5) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.32/1.04 thf(zip_derived_cl1513, plain,
% 1.32/1.04 ((((inverse @ sk_c10) = (sk_c10))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl1425, zip_derived_cl10])).
% 1.32/1.04 thf(zip_derived_cl1522, plain,
% 1.32/1.04 ((((inverse @ sk_c1) = (sk_c2)) | ((inverse @ sk_c10) = (sk_c10)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl1513])).
% 1.32/1.04 thf(zip_derived_cl595, plain,
% 1.32/1.04 ((((sk_c10) = (identity)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl585, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl713, plain,
% 1.32/1.04 ((((sk_c10) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl705, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl2066, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((inverse @ X3) != (identity))
% 1.32/1.04 | ((identity) != (sk_c9))
% 1.32/1.04 | ((identity) != (sk_c10))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl2065, zip_derived_cl1379, zip_derived_cl1379])).
% 1.32/1.04 thf(zip_derived_cl2189, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((identity) != (sk_c10))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((identity) != (sk_c10))
% 1.32/1.04 | ((inverse @ X3) != (identity)))),
% 1.32/1.04 inference('sup-', [status(thm)], [zip_derived_cl713, zip_derived_cl2066])).
% 1.32/1.04 thf(zip_derived_cl2198, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((inverse @ X3) != (identity))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((identity) != (sk_c10)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2189])).
% 1.32/1.04 thf(zip_derived_cl2232, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((identity) != (identity))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((inverse @ X3) != (identity)))),
% 1.32/1.04 inference('sup-', [status(thm)], [zip_derived_cl595, zip_derived_cl2198])).
% 1.32/1.04 thf(zip_derived_cl2234, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((inverse @ X3) != (identity))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2232])).
% 1.32/1.04 thf(zip_derived_cl2235, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.04 (((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ identity) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity)))),
% 1.32/1.04 inference('eq_res', [status(thm)], [zip_derived_cl2234])).
% 1.32/1.04 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl2236, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.04 (((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((identity) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl2235, zip_derived_cl671])).
% 1.32/1.04 thf(zip_derived_cl2237, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.04 (((inverse @ X2) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2236])).
% 1.32/1.04 thf(zip_derived_cl2238, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 (((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((inverse @ identity) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity)))),
% 1.32/1.04 inference('eq_res', [status(thm)], [zip_derived_cl2237])).
% 1.32/1.04 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl2239, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 (((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((identity) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl2238, zip_derived_cl671])).
% 1.32/1.04 thf(zip_derived_cl2240, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 (((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2239])).
% 1.32/1.04 thf(zip_derived_cl2241, plain,
% 1.32/1.04 (![X0 : $i]:
% 1.32/1.04 (((inverse @ sk_c1) = (sk_c2)) | ((inverse @ X0) != (identity)))),
% 1.32/1.04 inference('condensation', [status(thm)], [zip_derived_cl2240])).
% 1.32/1.04 thf(zip_derived_cl2244, plain,
% 1.32/1.04 ((((sk_c10) != (identity))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2))
% 1.32/1.04 | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('sup-', [status(thm)], [zip_derived_cl1522, zip_derived_cl2241])).
% 1.32/1.04 thf(zip_derived_cl2261, plain,
% 1.32/1.04 ((((inverse @ sk_c1) = (sk_c2)) | ((sk_c10) != (identity)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2244])).
% 1.32/1.04 thf(zip_derived_cl595, plain,
% 1.32/1.04 ((((sk_c10) = (identity)) | ((inverse @ sk_c1) = (sk_c2)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl585, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl2273, plain, (((inverse @ sk_c1) = (sk_c2))),
% 1.32/1.04 inference('clc', [status(thm)], [zip_derived_cl2261, zip_derived_cl595])).
% 1.32/1.04 thf(zip_derived_cl1433, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl1421, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl2296, plain,
% 1.32/1.04 ((((identity) = (sk_c10)) | ((identity) = (sk_c10)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl1547, zip_derived_cl2273, zip_derived_cl1433])).
% 1.32/1.04 thf(zip_derived_cl2297, plain, (((identity) = (sk_c10))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2296])).
% 1.32/1.04 thf(zip_derived_cl2355, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((inverse @ X3) != (identity))
% 1.32/1.04 | ((identity) != (sk_c9))
% 1.32/1.04 | ((identity) != (identity))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl2066, zip_derived_cl2297])).
% 1.32/1.04 thf(zip_derived_cl2356, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((inverse @ X0) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((identity) != (sk_c9))
% 1.32/1.04 | ((inverse @ X3) != (identity)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2355])).
% 1.32/1.04 thf(prove_this_37, conjecture,
% 1.32/1.04 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ sk_c3 ) = ( sk_c10 ) ) ))).
% 1.32/1.04 thf(zf_stmt_7, negated_conjecture,
% 1.32/1.04 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ sk_c3 ) = ( sk_c10 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 1.32/1.04 thf(zip_derived_cl39, plain,
% 1.32/1.04 ((((multiply @ sk_c5 @ sk_c9) = (sk_c10))
% 1.32/1.04 | ((inverse @ sk_c3) = (sk_c10)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.32/1.04 thf(zip_derived_cl1, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/1.04 thf(zip_derived_cl97, plain,
% 1.32/1.04 ((((multiply @ sk_c10 @ sk_c3) = (identity))
% 1.32/1.04 | ((multiply @ sk_c5 @ sk_c9) = (sk_c10)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl2297, plain, (((identity) = (sk_c10))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2296])).
% 1.32/1.04 thf(zip_derived_cl0, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.32/1.04 thf(zip_derived_cl2297, plain, (((identity) = (sk_c10))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2296])).
% 1.32/1.04 thf(zip_derived_cl2329, plain,
% 1.32/1.04 ((((sk_c3) = (identity)) | ((multiply @ sk_c5 @ sk_c9) = (identity)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl97, zip_derived_cl2297, zip_derived_cl0,
% 1.32/1.04 zip_derived_cl2297])).
% 1.32/1.04 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 1.32/1.04 thf(prove_this_36, conjecture,
% 1.32/1.04 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ sk_c3 ) = ( sk_c10 ) ) ))).
% 1.32/1.04 thf(zf_stmt_8, negated_conjecture,
% 1.32/1.04 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( inverse @ sk_c3 ) = ( sk_c10 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 1.32/1.04 thf(zip_derived_cl38, plain,
% 1.32/1.04 ((((inverse @ sk_c5) = (sk_c10)) | ((inverse @ sk_c3) = (sk_c10)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.32/1.04 thf(zip_derived_cl1, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/1.04 thf(zip_derived_cl69, plain,
% 1.32/1.04 ((((multiply @ sk_c10 @ sk_c3) = (identity))
% 1.32/1.04 | ((inverse @ sk_c5) = (sk_c10)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl166, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl193, plain,
% 1.32/1.04 ((((sk_c3) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.32/1.04 | ((inverse @ sk_c5) = (sk_c10)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl166])).
% 1.32/1.04 thf(prove_this_29, conjecture,
% 1.32/1.04 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c4 ) ) ))).
% 1.32/1.04 thf(zf_stmt_9, negated_conjecture,
% 1.32/1.04 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c4 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 1.32/1.04 thf(zip_derived_cl31, plain,
% 1.32/1.04 ((((inverse @ sk_c5) = (sk_c10))
% 1.32/1.04 | ((multiply @ sk_c3 @ sk_c10) = (sk_c4)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.32/1.04 thf(zip_derived_cl435, plain,
% 1.32/1.04 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 1.32/1.04 = (sk_c4))
% 1.32/1.04 | ((inverse @ sk_c5) = (sk_c10))
% 1.32/1.04 | ((inverse @ sk_c5) = (sk_c10)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl31])).
% 1.32/1.04 thf(zip_derived_cl2, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.04 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/1.04 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/1.04 inference('cnf', [status(esa)], [associativity])).
% 1.32/1.04 thf(zip_derived_cl0, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.32/1.04 thf(zip_derived_cl1, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/1.04 thf(zip_derived_cl452, plain,
% 1.32/1.04 ((((identity) = (sk_c4))
% 1.32/1.04 | ((inverse @ sk_c5) = (sk_c10))
% 1.32/1.04 | ((inverse @ sk_c5) = (sk_c10)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl435, zip_derived_cl2, zip_derived_cl0,
% 1.32/1.04 zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl453, plain,
% 1.32/1.04 ((((inverse @ sk_c5) = (sk_c10)) | ((identity) = (sk_c4)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl452])).
% 1.32/1.04 thf(prove_this_22, conjecture,
% 1.32/1.04 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c10 @ sk_c4 ) = ( sk_c9 ) ) ))).
% 1.32/1.04 thf(zf_stmt_10, negated_conjecture,
% 1.32/1.04 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c10 @ sk_c4 ) = ( sk_c9 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.32/1.04 thf(zip_derived_cl24, plain,
% 1.32/1.04 ((((inverse @ sk_c5) = (sk_c10))
% 1.32/1.04 | ((multiply @ sk_c10 @ sk_c4) = (sk_c9)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.32/1.04 thf(zip_derived_cl462, plain,
% 1.32/1.04 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 1.32/1.04 | ((inverse @ sk_c5) = (sk_c10))
% 1.32/1.04 | ((inverse @ sk_c5) = (sk_c10)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl453, zip_derived_cl24])).
% 1.32/1.04 thf(zip_derived_cl472, plain,
% 1.32/1.04 ((((inverse @ sk_c5) = (sk_c10))
% 1.32/1.04 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl462])).
% 1.32/1.04 thf(zip_derived_cl1379, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.32/1.04 thf(zip_derived_cl1405, plain,
% 1.32/1.04 ((((inverse @ sk_c5) = (sk_c10)) | ((sk_c10) = (sk_c9)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl472, zip_derived_cl1379])).
% 1.32/1.04 thf(zip_derived_cl2297, plain, (((identity) = (sk_c10))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2296])).
% 1.32/1.04 thf(zip_derived_cl2297, plain, (((identity) = (sk_c10))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2296])).
% 1.32/1.04 thf(zip_derived_cl2345, plain,
% 1.32/1.04 ((((inverse @ sk_c5) = (identity)) | ((identity) = (sk_c9)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl1405, zip_derived_cl2297, zip_derived_cl2297])).
% 1.32/1.04 thf(zip_derived_cl2356, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((inverse @ X0) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((identity) != (sk_c9))
% 1.32/1.04 | ((inverse @ X3) != (identity)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2355])).
% 1.32/1.04 thf(zip_derived_cl2458, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((identity) != (identity))
% 1.32/1.04 | ((inverse @ sk_c5) = (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((inverse @ X3) != (identity)))),
% 1.32/1.04 inference('sup-', [status(thm)], [zip_derived_cl2345, zip_derived_cl2356])).
% 1.32/1.04 thf(zip_derived_cl2462, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((inverse @ X3) != (identity))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((inverse @ sk_c5) = (identity)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2458])).
% 1.32/1.04 thf(zip_derived_cl2537, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.04 (((inverse @ sk_c5) = (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ identity) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity)))),
% 1.32/1.04 inference('eq_res', [status(thm)], [zip_derived_cl2462])).
% 1.32/1.04 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl2538, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.04 (((inverse @ sk_c5) = (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((identity) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl2537, zip_derived_cl671])).
% 1.32/1.04 thf(zip_derived_cl2539, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.04 (((inverse @ X2) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((inverse @ sk_c5) = (identity)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2538])).
% 1.32/1.04 thf(zip_derived_cl2540, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 (((inverse @ sk_c5) = (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((inverse @ identity) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity)))),
% 1.32/1.04 inference('eq_res', [status(thm)], [zip_derived_cl2539])).
% 1.32/1.04 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl2541, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 (((inverse @ sk_c5) = (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((identity) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl2540, zip_derived_cl671])).
% 1.32/1.04 thf(zip_derived_cl2542, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 (((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity))
% 1.32/1.04 | ((inverse @ sk_c5) = (identity)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2541])).
% 1.32/1.04 thf(zip_derived_cl2543, plain,
% 1.32/1.04 (![X0 : $i]:
% 1.32/1.04 (((inverse @ sk_c5) = (identity)) | ((inverse @ X0) != (identity)))),
% 1.32/1.04 inference('condensation', [status(thm)], [zip_derived_cl2542])).
% 1.32/1.04 thf(zip_derived_cl2544, plain,
% 1.32/1.04 ((((identity) != (identity)) | ((inverse @ sk_c5) = (identity)))),
% 1.32/1.04 inference('sup-', [status(thm)], [zip_derived_cl671, zip_derived_cl2543])).
% 1.32/1.04 thf(zip_derived_cl2550, plain, (((inverse @ sk_c5) = (identity))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2544])).
% 1.32/1.04 thf(zip_derived_cl1421, plain,
% 1.32/1.04 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl1379, zip_derived_cl179])).
% 1.32/1.04 thf(zip_derived_cl2557, plain, (((sk_c5) = (inverse @ identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl2550, zip_derived_cl1421])).
% 1.32/1.04 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl2560, plain, (((sk_c5) = (identity))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl2557, zip_derived_cl671])).
% 1.32/1.04 thf(zip_derived_cl0, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.32/1.04 thf(zip_derived_cl2626, plain,
% 1.32/1.04 ((((sk_c3) = (identity)) | ((sk_c9) = (identity)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl2329, zip_derived_cl2560, zip_derived_cl0])).
% 1.32/1.04 thf(prove_this_30, conjecture,
% 1.32/1.04 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c4 ) ) ))).
% 1.32/1.04 thf(zf_stmt_11, negated_conjecture,
% 1.32/1.04 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c4 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.32/1.04 thf(zip_derived_cl32, plain,
% 1.32/1.04 ((((multiply @ sk_c5 @ sk_c9) = (sk_c10))
% 1.32/1.04 | ((multiply @ sk_c3 @ sk_c10) = (sk_c4)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.32/1.04 thf(zip_derived_cl2297, plain, (((identity) = (sk_c10))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2296])).
% 1.32/1.04 thf(zip_derived_cl2297, plain, (((identity) = (sk_c10))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2296])).
% 1.32/1.04 thf(zip_derived_cl1379, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.32/1.04 thf(zip_derived_cl2311, plain,
% 1.32/1.04 ((((multiply @ sk_c5 @ sk_c9) = (identity)) | ((sk_c3) = (sk_c4)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl32, zip_derived_cl2297, zip_derived_cl2297,
% 1.32/1.04 zip_derived_cl1379])).
% 1.32/1.04 thf(zip_derived_cl2560, plain, (((sk_c5) = (identity))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl2557, zip_derived_cl671])).
% 1.32/1.04 thf(zip_derived_cl0, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.32/1.04 thf(zip_derived_cl2582, plain,
% 1.32/1.04 ((((sk_c9) = (identity)) | ((sk_c3) = (sk_c4)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl2311, zip_derived_cl2560, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl2633, plain,
% 1.32/1.04 ((((identity) = (sk_c4))
% 1.32/1.04 | ((sk_c9) = (identity))
% 1.32/1.04 | ((sk_c9) = (identity)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl2626, zip_derived_cl2582])).
% 1.32/1.04 thf(zip_derived_cl2635, plain,
% 1.32/1.04 ((((sk_c9) = (identity)) | ((identity) = (sk_c4)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2633])).
% 1.32/1.04 thf(prove_this_23, conjecture,
% 1.32/1.04 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c10 @ sk_c4 ) = ( sk_c9 ) ) ))).
% 1.32/1.04 thf(zf_stmt_12, negated_conjecture,
% 1.32/1.04 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.32/1.04 ( ( multiply @ sk_c10 @ sk_c4 ) = ( sk_c9 ) )),
% 1.32/1.04 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 1.32/1.04 thf(zip_derived_cl25, plain,
% 1.32/1.04 ((((multiply @ sk_c5 @ sk_c9) = (sk_c10))
% 1.32/1.04 | ((multiply @ sk_c10 @ sk_c4) = (sk_c9)))),
% 1.32/1.04 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.32/1.04 thf(zip_derived_cl2297, plain, (((identity) = (sk_c10))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2296])).
% 1.32/1.04 thf(zip_derived_cl2297, plain, (((identity) = (sk_c10))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2296])).
% 1.32/1.04 thf(zip_derived_cl0, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.32/1.04 thf(zip_derived_cl2304, plain,
% 1.32/1.04 ((((multiply @ sk_c5 @ sk_c9) = (identity)) | ((sk_c4) = (sk_c9)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl25, zip_derived_cl2297, zip_derived_cl2297,
% 1.32/1.04 zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl2560, plain, (((sk_c5) = (identity))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl2557, zip_derived_cl671])).
% 1.32/1.04 thf(zip_derived_cl0, plain,
% 1.32/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.32/1.04 thf(zip_derived_cl2588, plain,
% 1.32/1.04 ((((sk_c9) = (identity)) | ((sk_c4) = (sk_c9)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl2304, zip_derived_cl2560, zip_derived_cl0])).
% 1.32/1.04 thf(zip_derived_cl2642, plain,
% 1.32/1.04 ((((identity) = (sk_c9))
% 1.32/1.04 | ((sk_c9) = (identity))
% 1.32/1.04 | ((sk_c9) = (identity)))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl2635, zip_derived_cl2588])).
% 1.32/1.04 thf(zip_derived_cl2649, plain, (((identity) = (sk_c9))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2642])).
% 1.32/1.04 thf(zip_derived_cl2672, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((inverse @ X0) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((identity) != (identity))
% 1.32/1.04 | ((inverse @ X3) != (identity)))),
% 1.32/1.04 inference('demod', [status(thm)],
% 1.32/1.04 [zip_derived_cl2356, zip_derived_cl2649])).
% 1.32/1.04 thf(zip_derived_cl2673, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/1.04 (((inverse @ X3) != (identity))
% 1.32/1.04 | ((X2) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2672])).
% 1.32/1.04 thf(zip_derived_cl2712, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.04 (((inverse @ X0) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((inverse @ identity) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity)))),
% 1.32/1.04 inference('eq_res', [status(thm)], [zip_derived_cl2673])).
% 1.32/1.04 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl2713, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.04 (((inverse @ X0) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((identity) != (identity))
% 1.32/1.04 | ((inverse @ X2) != (identity)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl2712, zip_derived_cl671])).
% 1.32/1.04 thf(zip_derived_cl2714, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/1.04 (((inverse @ X2) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity))
% 1.32/1.04 | ((X1) != (identity))
% 1.32/1.04 | ((inverse @ X0) != (identity)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2713])).
% 1.32/1.04 thf(zip_derived_cl2715, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 (((inverse @ X0) != (identity))
% 1.32/1.04 | ((inverse @ identity) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity)))),
% 1.32/1.04 inference('eq_res', [status(thm)], [zip_derived_cl2714])).
% 1.32/1.04 thf(zip_derived_cl671, plain, (((inverse @ identity) = (identity))),
% 1.32/1.04 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl1])).
% 1.32/1.04 thf(zip_derived_cl2716, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 (((inverse @ X0) != (identity))
% 1.32/1.04 | ((identity) != (identity))
% 1.32/1.04 | ((inverse @ X1) != (identity)))),
% 1.32/1.04 inference('demod', [status(thm)], [zip_derived_cl2715, zip_derived_cl671])).
% 1.32/1.04 thf(zip_derived_cl2717, plain,
% 1.32/1.04 (![X0 : $i, X1 : $i]:
% 1.32/1.04 (((inverse @ X1) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2716])).
% 1.32/1.04 thf(zip_derived_cl2718, plain, (![X0 : $i]: ((inverse @ X0) != (identity))),
% 1.32/1.04 inference('condensation', [status(thm)], [zip_derived_cl2717])).
% 1.32/1.04 thf(zip_derived_cl2719, plain, (((identity) != (identity))),
% 1.32/1.04 inference('sup-', [status(thm)], [zip_derived_cl671, zip_derived_cl2718])).
% 1.32/1.04 thf(zip_derived_cl2722, plain, ($false),
% 1.32/1.04 inference('simplify', [status(thm)], [zip_derived_cl2719])).
% 1.32/1.04
% 1.32/1.04 % SZS output end Refutation
% 1.32/1.04
% 1.32/1.04
% 1.32/1.04 % Terminating...
% 1.60/1.11 % Runner terminated.
% 1.74/1.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------