TSTP Solution File: GRP389-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP389-1 : 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.X5cvSLnIGW true
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:27 EDT 2023
% Result : Unsatisfiable 15.27s 2.78s
% Output : Refutation 15.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP389-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X5cvSLnIGW true
% 0.13/0.34 % Computer : n019.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 22:42:13 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
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 15.27/2.78 % Solved by fo/fo7.sh.
% 15.27/2.78 % done 3673 iterations in 1.989s
% 15.27/2.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 15.27/2.78 % SZS output start Refutation
% 15.27/2.78 thf(sk_c4_type, type, sk_c4: $i).
% 15.27/2.78 thf(sk_c1_type, type, sk_c1: $i).
% 15.27/2.78 thf(sk_c6_type, type, sk_c6: $i).
% 15.27/2.78 thf(sk_c5_type, type, sk_c5: $i).
% 15.27/2.78 thf(identity_type, type, identity: $i).
% 15.27/2.78 thf(multiply_type, type, multiply: $i > $i > $i).
% 15.27/2.78 thf(sk_c9_type, type, sk_c9: $i).
% 15.27/2.78 thf(sk_c3_type, type, sk_c3: $i).
% 15.27/2.78 thf(inverse_type, type, inverse: $i > $i).
% 15.27/2.78 thf(sk_c11_type, type, sk_c11: $i).
% 15.27/2.78 thf(sk_c2_type, type, sk_c2: $i).
% 15.27/2.78 thf(sk_c10_type, type, sk_c10: $i).
% 15.27/2.78 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 15.27/2.78 thf(zip_derived_cl1, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_inverse])).
% 15.27/2.78 thf(zip_derived_cl1, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_inverse])).
% 15.27/2.78 thf(associativity, axiom,
% 15.27/2.78 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 15.27/2.78 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 15.27/2.78 thf(zip_derived_cl2, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.78 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 15.27/2.78 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 15.27/2.78 inference('cnf', [status(esa)], [associativity])).
% 15.27/2.78 thf(zip_derived_cl165, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((multiply @ identity @ X0)
% 15.27/2.78 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 15.27/2.78 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 15.27/2.78 thf(zip_derived_cl0, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_identity])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl207, plain,
% 15.27/2.78 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl204, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl726, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl204])).
% 15.27/2.78 thf(zip_derived_cl207, plain,
% 15.27/2.78 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl754, plain,
% 15.27/2.78 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl726, zip_derived_cl207])).
% 15.27/2.78 thf(zip_derived_cl1, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_inverse])).
% 15.27/2.78 thf(zip_derived_cl759, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl754, zip_derived_cl1])).
% 15.27/2.78 thf(prove_this_14, conjecture,
% 15.27/2.78 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 15.27/2.78 thf(zf_stmt_0, negated_conjecture,
% 15.27/2.78 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 15.27/2.78 thf(zip_derived_cl16, plain,
% 15.27/2.78 ((((inverse @ sk_c6) = (sk_c11)) | ((inverse @ sk_c1) = (sk_c11)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 15.27/2.78 thf(zip_derived_cl1, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_inverse])).
% 15.27/2.78 thf(zip_derived_cl64, plain,
% 15.27/2.78 ((((multiply @ sk_c11 @ sk_c1) = (identity))
% 15.27/2.78 | ((inverse @ sk_c6) = (sk_c11)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl215, plain,
% 15.27/2.78 ((((sk_c1) = (multiply @ (inverse @ sk_c11) @ identity))
% 15.27/2.78 | ((inverse @ sk_c6) = (sk_c11)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl195])).
% 15.27/2.78 thf(prove_this_23, conjecture,
% 15.27/2.78 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 15.27/2.78 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 15.27/2.78 thf(zf_stmt_1, negated_conjecture,
% 15.27/2.78 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 15.27/2.78 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 15.27/2.78 thf(zip_derived_cl25, plain,
% 15.27/2.78 ((((inverse @ sk_c6) = (sk_c11))
% 15.27/2.78 | ((multiply @ sk_c1 @ sk_c10) = (sk_c11)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 15.27/2.78 thf(zip_derived_cl537, plain,
% 15.27/2.78 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c10)
% 15.27/2.78 = (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c6) = (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c6) = (sk_c11)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl25])).
% 15.27/2.78 thf(zip_derived_cl2, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.78 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 15.27/2.78 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 15.27/2.78 inference('cnf', [status(esa)], [associativity])).
% 15.27/2.78 thf(zip_derived_cl0, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_identity])).
% 15.27/2.78 thf(zip_derived_cl551, plain,
% 15.27/2.78 ((((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c6) = (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c6) = (sk_c11)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl537, zip_derived_cl2, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl552, plain,
% 15.27/2.78 ((((inverse @ sk_c6) = (sk_c11))
% 15.27/2.78 | ((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl551])).
% 15.27/2.78 thf(zip_derived_cl754, plain,
% 15.27/2.78 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl726, zip_derived_cl207])).
% 15.27/2.78 thf(zip_derived_cl1673, plain,
% 15.27/2.78 ((((sk_c6) = (inverse @ sk_c11))
% 15.27/2.78 | ((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl552, zip_derived_cl754])).
% 15.27/2.78 thf(prove_this_15, conjecture,
% 15.27/2.78 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 15.27/2.78 thf(zf_stmt_2, negated_conjecture,
% 15.27/2.78 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 15.27/2.78 thf(zip_derived_cl17, plain,
% 15.27/2.78 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c1) = (sk_c11)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 15.27/2.78 thf(zip_derived_cl754, plain,
% 15.27/2.78 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl726, zip_derived_cl207])).
% 15.27/2.78 thf(zip_derived_cl772, plain,
% 15.27/2.78 ((((sk_c1) = (inverse @ sk_c11))
% 15.27/2.78 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl754])).
% 15.27/2.78 thf(prove_this_24, conjecture,
% 15.27/2.78 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 15.27/2.78 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 15.27/2.78 thf(zf_stmt_3, negated_conjecture,
% 15.27/2.78 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 15.27/2.78 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 15.27/2.78 thf(zip_derived_cl26, plain,
% 15.27/2.78 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 15.27/2.78 | ((multiply @ sk_c1 @ sk_c10) = (sk_c11)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 15.27/2.78 thf(zip_derived_cl1073, plain,
% 15.27/2.78 ((((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11))
% 15.27/2.78 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 15.27/2.78 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl772, zip_derived_cl26])).
% 15.27/2.78 thf(zip_derived_cl1091, plain,
% 15.27/2.78 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 15.27/2.78 | ((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl1073])).
% 15.27/2.78 thf(zip_derived_cl8841, plain,
% 15.27/2.78 ((((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11))
% 15.27/2.78 | ((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11))
% 15.27/2.78 | ((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl1673, zip_derived_cl1091])).
% 15.27/2.78 thf(zip_derived_cl8851, plain,
% 15.27/2.78 (((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl8841])).
% 15.27/2.78 thf(zip_derived_cl754, plain,
% 15.27/2.78 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl726, zip_derived_cl207])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl761, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl754, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl8858, plain, (((sk_c10) = (multiply @ sk_c11 @ sk_c11))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl8851, zip_derived_cl761])).
% 15.27/2.78 thf(zip_derived_cl2, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.78 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 15.27/2.78 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 15.27/2.78 inference('cnf', [status(esa)], [associativity])).
% 15.27/2.78 thf(zip_derived_cl8887, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 ((multiply @ sk_c10 @ X0)
% 15.27/2.78 = (multiply @ sk_c11 @ (multiply @ sk_c11 @ X0)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl8858, zip_derived_cl2])).
% 15.27/2.78 thf(zip_derived_cl8938, plain,
% 15.27/2.78 (((multiply @ sk_c10 @ (inverse @ sk_c11))
% 15.27/2.78 = (multiply @ sk_c11 @ identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl759, zip_derived_cl8887])).
% 15.27/2.78 thf(zip_derived_cl726, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl204])).
% 15.27/2.78 thf(zip_derived_cl9002, plain,
% 15.27/2.78 (((multiply @ sk_c10 @ (inverse @ sk_c11)) = (sk_c11))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl8938, zip_derived_cl726])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl9119, plain,
% 15.27/2.78 (((inverse @ sk_c11) = (multiply @ (inverse @ sk_c10) @ sk_c11))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl9002, zip_derived_cl195])).
% 15.27/2.78 thf(prove_this_39, conjecture,
% 15.27/2.78 (~( ( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 15.27/2.78 thf(zf_stmt_4, negated_conjecture,
% 15.27/2.78 (( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_39])).
% 15.27/2.78 thf(zip_derived_cl41, plain,
% 15.27/2.78 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c3)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.27/2.78 thf(prove_this_2, conjecture,
% 15.27/2.78 (~( ( ( inverse @ sk_c4 ) = ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 15.27/2.78 thf(zf_stmt_5, negated_conjecture,
% 15.27/2.78 (( ( inverse @ sk_c4 ) = ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 15.27/2.78 thf(zip_derived_cl4, plain,
% 15.27/2.78 ((((inverse @ sk_c4) = (sk_c11)) | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 15.27/2.78 thf(zip_derived_cl9002, plain,
% 15.27/2.78 (((multiply @ sk_c10 @ (inverse @ sk_c11)) = (sk_c11))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl8938, zip_derived_cl726])).
% 15.27/2.78 thf(prove_this_1, conjecture,
% 15.27/2.78 (~( ( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 15.27/2.78 thf(zf_stmt_6, negated_conjecture,
% 15.27/2.78 (( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 15.27/2.78 thf(zip_derived_cl3, plain,
% 15.27/2.78 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_6])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl210, plain,
% 15.27/2.78 ((((sk_c11) = (multiply @ (inverse @ sk_c4) @ sk_c10))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl195])).
% 15.27/2.78 thf(prove_this_5, conjecture,
% 15.27/2.78 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 15.27/2.78 thf(zf_stmt_7, negated_conjecture,
% 15.27/2.78 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 15.27/2.78 thf(zip_derived_cl7, plain,
% 15.27/2.78 ((((inverse @ sk_c6) = (sk_c11)) | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 15.27/2.78 thf(zip_derived_cl1, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_inverse])).
% 15.27/2.78 thf(zip_derived_cl60, plain,
% 15.27/2.78 ((((multiply @ sk_c11 @ sk_c6) = (identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl211, plain,
% 15.27/2.78 ((((sk_c6) = (multiply @ (inverse @ sk_c11) @ identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl726, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl204])).
% 15.27/2.78 thf(zip_derived_cl743, plain,
% 15.27/2.78 ((((sk_c6) = (inverse @ sk_c11)) | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl211, zip_derived_cl726])).
% 15.27/2.78 thf(zip_derived_cl4, plain,
% 15.27/2.78 ((((inverse @ sk_c4) = (sk_c11)) | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 15.27/2.78 thf(zip_derived_cl60, plain,
% 15.27/2.78 ((((multiply @ sk_c11 @ sk_c6) = (identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl116, plain,
% 15.27/2.78 ((((multiply @ (inverse @ sk_c4) @ sk_c6) = (identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl60])).
% 15.27/2.78 thf(zip_derived_cl117, plain,
% 15.27/2.78 ((((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((multiply @ (inverse @ sk_c4) @ sk_c6) = (identity)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl116])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl669, plain,
% 15.27/2.78 ((((sk_c6) = (multiply @ (inverse @ (inverse @ sk_c4)) @ identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl207, plain,
% 15.27/2.78 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl673, plain,
% 15.27/2.78 ((((sk_c6) = (sk_c4)) | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl669, zip_derived_cl207])).
% 15.27/2.78 thf(zip_derived_cl788, plain,
% 15.27/2.78 ((((inverse @ sk_c11) = (sk_c4))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl673])).
% 15.27/2.78 thf(zip_derived_cl793, plain,
% 15.27/2.78 ((((inverse @ sk_c10) = (sk_c9)) | ((inverse @ sk_c11) = (sk_c4)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl788])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl996, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((X0) = (multiply @ sk_c4 @ (multiply @ sk_c11 @ X0)))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl793, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl6149, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((X0)
% 15.27/2.78 = (multiply @ sk_c4 @
% 15.27/2.78 (multiply @ (multiply @ (inverse @ sk_c4) @ sk_c10) @ X0)))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl996])).
% 15.27/2.78 thf(zip_derived_cl2, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.78 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 15.27/2.78 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 15.27/2.78 inference('cnf', [status(esa)], [associativity])).
% 15.27/2.78 thf(zip_derived_cl761, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl754, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl6181, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((X0) = (multiply @ sk_c10 @ X0))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl6149, zip_derived_cl2, zip_derived_cl761])).
% 15.27/2.78 thf(zip_derived_cl6182, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((inverse @ sk_c10) = (sk_c9)) | ((X0) = (multiply @ sk_c10 @ X0)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl6181])).
% 15.27/2.78 thf(zip_derived_cl9121, plain,
% 15.27/2.78 ((((inverse @ sk_c11) = (sk_c11)) | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl9002, zip_derived_cl6182])).
% 15.27/2.78 thf(zip_derived_cl9200, plain,
% 15.27/2.78 ((((inverse @ (inverse @ sk_c4)) = (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl9121])).
% 15.27/2.78 thf(zip_derived_cl754, plain,
% 15.27/2.78 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl726, zip_derived_cl207])).
% 15.27/2.78 thf(zip_derived_cl9217, plain,
% 15.27/2.78 ((((sk_c4) = (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl9200, zip_derived_cl754])).
% 15.27/2.78 thf(zip_derived_cl9218, plain,
% 15.27/2.78 ((((inverse @ sk_c10) = (sk_c9)) | ((sk_c4) = (sk_c11)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl9217])).
% 15.27/2.78 thf(zip_derived_cl60, plain,
% 15.27/2.78 ((((multiply @ sk_c11 @ sk_c6) = (identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl8887, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 ((multiply @ sk_c10 @ X0)
% 15.27/2.78 = (multiply @ sk_c11 @ (multiply @ sk_c11 @ X0)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl8858, zip_derived_cl2])).
% 15.27/2.78 thf(zip_derived_cl8956, plain,
% 15.27/2.78 ((((multiply @ sk_c10 @ sk_c6) = (multiply @ sk_c11 @ identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl8887])).
% 15.27/2.78 thf(zip_derived_cl726, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl204])).
% 15.27/2.78 thf(zip_derived_cl9007, plain,
% 15.27/2.78 ((((multiply @ sk_c10 @ sk_c6) = (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl8956, zip_derived_cl726])).
% 15.27/2.78 thf(prove_this_4, conjecture,
% 15.27/2.78 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 15.27/2.78 thf(zf_stmt_8, negated_conjecture,
% 15.27/2.78 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 15.27/2.78 thf(zip_derived_cl6, plain,
% 15.27/2.78 ((((inverse @ sk_c5) = (sk_c10)) | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 15.27/2.78 thf(zip_derived_cl759, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl754, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl1011, plain,
% 15.27/2.78 ((((multiply @ sk_c5 @ sk_c10) = (identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl759])).
% 15.27/2.78 thf(zip_derived_cl2, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.78 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 15.27/2.78 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 15.27/2.78 inference('cnf', [status(esa)], [associativity])).
% 15.27/2.78 thf(zip_derived_cl1227, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((multiply @ identity @ X0)
% 15.27/2.78 = (multiply @ sk_c5 @ (multiply @ sk_c10 @ X0)))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl1011, zip_derived_cl2])).
% 15.27/2.78 thf(zip_derived_cl0, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_identity])).
% 15.27/2.78 thf(zip_derived_cl1233, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((X0) = (multiply @ sk_c5 @ (multiply @ sk_c10 @ X0)))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl1227, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl21870, plain,
% 15.27/2.78 ((((sk_c6) = (multiply @ sk_c5 @ sk_c11))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl9007, zip_derived_cl1233])).
% 15.27/2.78 thf(zip_derived_cl21892, plain,
% 15.27/2.78 ((((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((sk_c6) = (multiply @ sk_c5 @ sk_c11)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl21870])).
% 15.27/2.78 thf(zip_derived_cl7, plain,
% 15.27/2.78 ((((inverse @ sk_c6) = (sk_c11)) | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 15.27/2.78 thf(zip_derived_cl21897, plain,
% 15.27/2.78 ((((inverse @ (multiply @ sk_c5 @ sk_c11)) = (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl21892, zip_derived_cl7])).
% 15.27/2.78 thf(zip_derived_cl21968, plain,
% 15.27/2.78 ((((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ (multiply @ sk_c5 @ sk_c11)) = (sk_c11)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl21897])).
% 15.27/2.78 thf(zip_derived_cl22743, plain,
% 15.27/2.78 ((((inverse @ (multiply @ sk_c5 @ sk_c4)) = (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)],
% 15.27/2.78 [zip_derived_cl9218, zip_derived_cl21968])).
% 15.27/2.78 thf(zip_derived_cl22793, plain,
% 15.27/2.78 ((((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ (multiply @ sk_c5 @ sk_c4)) = (sk_c11)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl22743])).
% 15.27/2.78 thf(zip_derived_cl759, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl754, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl23007, plain,
% 15.27/2.78 ((((multiply @ (multiply @ sk_c5 @ sk_c4) @ sk_c11) = (identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl22793, zip_derived_cl759])).
% 15.27/2.78 thf(zip_derived_cl2, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.78 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 15.27/2.78 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 15.27/2.78 inference('cnf', [status(esa)], [associativity])).
% 15.27/2.78 thf(zip_derived_cl26756, plain,
% 15.27/2.78 ((((identity) = (multiply @ sk_c5 @ (multiply @ sk_c4 @ sk_c11)))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl23007, zip_derived_cl2])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl29435, plain,
% 15.27/2.78 ((((multiply @ sk_c4 @ sk_c11)
% 15.27/2.78 = (multiply @ (inverse @ sk_c5) @ identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl26756, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl726, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl204])).
% 15.27/2.78 thf(zip_derived_cl30577, plain,
% 15.27/2.78 ((((multiply @ sk_c4 @ sk_c11) = (inverse @ sk_c5))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl29435, zip_derived_cl726])).
% 15.27/2.78 thf(zip_derived_cl1, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_inverse])).
% 15.27/2.78 thf(zip_derived_cl30609, plain,
% 15.27/2.78 ((((multiply @ (multiply @ sk_c4 @ sk_c11) @ sk_c5) = (identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl30577, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl2, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.78 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 15.27/2.78 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 15.27/2.78 inference('cnf', [status(esa)], [associativity])).
% 15.27/2.78 thf(zip_derived_cl31494, plain,
% 15.27/2.78 ((((identity) = (multiply @ sk_c4 @ (multiply @ sk_c11 @ sk_c5)))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl30609, zip_derived_cl2])).
% 15.27/2.78 thf(zip_derived_cl673, plain,
% 15.27/2.78 ((((sk_c6) = (sk_c4)) | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl669, zip_derived_cl207])).
% 15.27/2.78 thf(zip_derived_cl60, plain,
% 15.27/2.78 ((((multiply @ sk_c11 @ sk_c6) = (identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl676, plain,
% 15.27/2.78 ((((multiply @ sk_c11 @ sk_c4) = (identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl673, zip_derived_cl60])).
% 15.27/2.78 thf(zip_derived_cl681, plain,
% 15.27/2.78 ((((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((multiply @ sk_c11 @ sk_c4) = (identity)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl676])).
% 15.27/2.78 thf(zip_derived_cl2, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.78 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 15.27/2.78 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 15.27/2.78 inference('cnf', [status(esa)], [associativity])).
% 15.27/2.78 thf(zip_derived_cl696, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((multiply @ identity @ X0)
% 15.27/2.78 = (multiply @ sk_c11 @ (multiply @ sk_c4 @ X0)))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl681, zip_derived_cl2])).
% 15.27/2.78 thf(zip_derived_cl0, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_identity])).
% 15.27/2.78 thf(zip_derived_cl704, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((X0) = (multiply @ sk_c11 @ (multiply @ sk_c4 @ X0)))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl696, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl38078, plain,
% 15.27/2.78 ((((multiply @ sk_c11 @ sk_c5) = (multiply @ sk_c11 @ identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl31494, zip_derived_cl704])).
% 15.27/2.78 thf(zip_derived_cl726, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl204])).
% 15.27/2.78 thf(zip_derived_cl38288, plain,
% 15.27/2.78 ((((multiply @ sk_c11 @ sk_c5) = (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl38078, zip_derived_cl726])).
% 15.27/2.78 thf(zip_derived_cl38289, plain,
% 15.27/2.78 ((((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((multiply @ sk_c11 @ sk_c5) = (sk_c11)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl38288])).
% 15.27/2.78 thf(zip_derived_cl8887, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 ((multiply @ sk_c10 @ X0)
% 15.27/2.78 = (multiply @ sk_c11 @ (multiply @ sk_c11 @ X0)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl8858, zip_derived_cl2])).
% 15.27/2.78 thf(zip_derived_cl38302, plain,
% 15.27/2.78 ((((multiply @ sk_c10 @ sk_c5) = (multiply @ sk_c11 @ sk_c11))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)],
% 15.27/2.78 [zip_derived_cl38289, zip_derived_cl8887])).
% 15.27/2.78 thf(zip_derived_cl8858, plain, (((sk_c10) = (multiply @ sk_c11 @ sk_c11))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl8851, zip_derived_cl761])).
% 15.27/2.78 thf(zip_derived_cl38464, plain,
% 15.27/2.78 ((((multiply @ sk_c10 @ sk_c5) = (sk_c10))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl38302, zip_derived_cl8858])).
% 15.27/2.78 thf(zip_derived_cl1233, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((X0) = (multiply @ sk_c5 @ (multiply @ sk_c10 @ X0)))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl1227, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl38846, plain,
% 15.27/2.78 ((((sk_c5) = (multiply @ sk_c5 @ sk_c10))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)],
% 15.27/2.78 [zip_derived_cl38464, zip_derived_cl1233])).
% 15.27/2.78 thf(zip_derived_cl38886, plain,
% 15.27/2.78 ((((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((sk_c5) = (multiply @ sk_c5 @ sk_c10)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl38846])).
% 15.27/2.78 thf(prove_this_3, conjecture,
% 15.27/2.78 (~( ( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 15.27/2.78 thf(zf_stmt_9, negated_conjecture,
% 15.27/2.78 (( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 15.27/2.78 thf(zip_derived_cl5, plain,
% 15.27/2.78 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_9])).
% 15.27/2.78 thf(zip_derived_cl39518, plain,
% 15.27/2.78 ((((sk_c5) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl38886, zip_derived_cl5])).
% 15.27/2.78 thf(zip_derived_cl39568, plain,
% 15.27/2.78 ((((inverse @ sk_c10) = (sk_c9)) | ((sk_c5) = (sk_c9)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl39518])).
% 15.27/2.78 thf(zip_derived_cl6, plain,
% 15.27/2.78 ((((inverse @ sk_c5) = (sk_c10)) | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 15.27/2.78 thf(zip_derived_cl1, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_inverse])).
% 15.27/2.78 thf(zip_derived_cl59, plain,
% 15.27/2.78 ((((multiply @ sk_c10 @ sk_c5) = (identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl209, plain,
% 15.27/2.78 ((((sk_c5) = (multiply @ (inverse @ sk_c10) @ identity))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl726, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl204])).
% 15.27/2.78 thf(zip_derived_cl742, plain,
% 15.27/2.78 ((((sk_c5) = (inverse @ sk_c10)) | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl726])).
% 15.27/2.78 thf(zip_derived_cl39575, plain,
% 15.27/2.78 ((((sk_c9) = (inverse @ sk_c10))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((inverse @ sk_c10) = (sk_c9)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl39568, zip_derived_cl742])).
% 15.27/2.78 thf(zip_derived_cl39687, plain, (((sk_c9) = (inverse @ sk_c10))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl39575])).
% 15.27/2.78 thf(zip_derived_cl39766, plain,
% 15.27/2.78 ((((multiply @ sk_c5 @ sk_c10) = (inverse @ sk_c10))
% 15.27/2.78 | ((inverse @ sk_c2) = (sk_c3)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl39687])).
% 15.27/2.78 thf(prove_this_30, conjecture,
% 15.27/2.78 (~( ( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 15.27/2.78 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c10 ) ) ))).
% 15.27/2.78 thf(zf_stmt_10, negated_conjecture,
% 15.27/2.78 (( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 15.27/2.78 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c10 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 15.27/2.78 thf(zip_derived_cl32, plain,
% 15.27/2.78 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9))
% 15.27/2.78 | ((multiply @ sk_c2 @ sk_c3) = (sk_c10)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_10])).
% 15.27/2.78 thf(zip_derived_cl39687, plain, (((sk_c9) = (inverse @ sk_c10))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl39575])).
% 15.27/2.78 thf(zip_derived_cl39764, plain,
% 15.27/2.78 ((((multiply @ sk_c5 @ sk_c10) = (inverse @ sk_c10))
% 15.27/2.78 | ((multiply @ sk_c2 @ sk_c3) = (sk_c10)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl39687])).
% 15.27/2.78 thf(zip_derived_cl41325, plain,
% 15.27/2.78 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c10))
% 15.27/2.78 | ((multiply @ sk_c5 @ sk_c10) = (inverse @ sk_c10))
% 15.27/2.78 | ((multiply @ sk_c5 @ sk_c10) = (inverse @ sk_c10)))),
% 15.27/2.78 inference('sup+', [status(thm)],
% 15.27/2.78 [zip_derived_cl39766, zip_derived_cl39764])).
% 15.27/2.78 thf(zip_derived_cl759, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl754, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl41336, plain,
% 15.27/2.78 ((((identity) = (sk_c10))
% 15.27/2.78 | ((multiply @ sk_c5 @ sk_c10) = (inverse @ sk_c10))
% 15.27/2.78 | ((multiply @ sk_c5 @ sk_c10) = (inverse @ sk_c10)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl41325, zip_derived_cl759])).
% 15.27/2.78 thf(zip_derived_cl41337, plain,
% 15.27/2.78 ((((multiply @ sk_c5 @ sk_c10) = (inverse @ sk_c10))
% 15.27/2.78 | ((identity) = (sk_c10)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl41336])).
% 15.27/2.78 thf(prove_this_40, conjecture,
% 15.27/2.78 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 15.27/2.78 thf(zf_stmt_11, negated_conjecture,
% 15.27/2.78 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_40])).
% 15.27/2.78 thf(zip_derived_cl42, plain,
% 15.27/2.78 ((((inverse @ sk_c5) = (sk_c10)) | ((inverse @ sk_c2) = (sk_c3)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_11])).
% 15.27/2.78 thf(prove_this_31, conjecture,
% 15.27/2.78 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 15.27/2.78 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c10 ) ) ))).
% 15.27/2.78 thf(zf_stmt_12, negated_conjecture,
% 15.27/2.78 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 15.27/2.78 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c10 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 15.27/2.78 thf(zip_derived_cl33, plain,
% 15.27/2.78 ((((inverse @ sk_c5) = (sk_c10))
% 15.27/2.78 | ((multiply @ sk_c2 @ sk_c3) = (sk_c10)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_12])).
% 15.27/2.78 thf(zip_derived_cl122, plain,
% 15.27/2.78 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c10))
% 15.27/2.78 | ((inverse @ sk_c5) = (sk_c10))
% 15.27/2.78 | ((inverse @ sk_c5) = (sk_c10)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl33])).
% 15.27/2.78 thf(zip_derived_cl128, plain,
% 15.27/2.78 ((((inverse @ sk_c5) = (sk_c10))
% 15.27/2.78 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c10)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl122])).
% 15.27/2.78 thf(zip_derived_cl759, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl754, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl1878, plain,
% 15.27/2.78 ((((inverse @ sk_c5) = (sk_c10)) | ((identity) = (sk_c10)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl759])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl1883, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((X0) = (multiply @ sk_c10 @ (multiply @ sk_c5 @ X0)))
% 15.27/2.78 | ((identity) = (sk_c10)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl1878, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl41342, plain,
% 15.27/2.78 ((((sk_c10) = (multiply @ sk_c10 @ (inverse @ sk_c10)))
% 15.27/2.78 | ((identity) = (sk_c10))
% 15.27/2.78 | ((identity) = (sk_c10)))),
% 15.27/2.78 inference('sup+', [status(thm)],
% 15.27/2.78 [zip_derived_cl41337, zip_derived_cl1883])).
% 15.27/2.78 thf(zip_derived_cl759, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl754, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl41347, plain,
% 15.27/2.78 ((((sk_c10) = (identity))
% 15.27/2.78 | ((identity) = (sk_c10))
% 15.27/2.78 | ((identity) = (sk_c10)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl41342, zip_derived_cl759])).
% 15.27/2.78 thf(zip_derived_cl41348, plain, (((sk_c10) = (identity))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl41347])).
% 15.27/2.78 thf(zip_derived_cl0, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_identity])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl206, plain,
% 15.27/2.78 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl250, plain,
% 15.27/2.78 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl206, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl1, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_inverse])).
% 15.27/2.78 thf(zip_derived_cl602, plain, (((inverse @ identity) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl0, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_identity])).
% 15.27/2.78 thf(zip_derived_cl41414, plain, (((inverse @ sk_c11) = (sk_c11))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl9119, zip_derived_cl41348, zip_derived_cl602,
% 15.27/2.78 zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl602, plain, (((inverse @ identity) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl9119, plain,
% 15.27/2.78 (((inverse @ sk_c11) = (multiply @ (inverse @ sk_c10) @ sk_c11))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl9002, zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl754, plain,
% 15.27/2.78 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl726, zip_derived_cl207])).
% 15.27/2.78 thf(zip_derived_cl9538, plain,
% 15.27/2.78 (((sk_c11) = (inverse @ (multiply @ (inverse @ sk_c10) @ sk_c11)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl9119, zip_derived_cl754])).
% 15.27/2.78 thf(prove_this_55, conjecture,
% 15.27/2.78 (~( ( ( multiply @ X8 @ sk_c9 ) != ( sk_c10 ) ) |
% 15.27/2.78 ( ( inverse @ X7 ) != ( X8 ) ) |
% 15.27/2.78 ( ( multiply @ X7 @ X8 ) != ( sk_c10 ) ) |
% 15.27/2.78 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ X3 ) != ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 15.27/2.78 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 15.27/2.78 ( ( inverse @ X1 ) != ( sk_c11 ) ) |
% 15.27/2.78 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c10 ) ) |
% 15.27/2.78 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c10 ) ) |
% 15.27/2.78 ( ( inverse @ X5 ) != ( X6 ) ) |
% 15.27/2.78 ( ( multiply @ X5 @ X6 ) != ( sk_c10 ) ) |
% 15.27/2.78 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ X4 ) != ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ sk_c10 ) != ( sk_c9 ) ) ))).
% 15.27/2.78 thf(zf_stmt_13, negated_conjecture,
% 15.27/2.78 (( ( multiply @ X8 @ sk_c9 ) != ( sk_c10 ) ) |
% 15.27/2.78 ( ( inverse @ X7 ) != ( X8 ) ) |
% 15.27/2.78 ( ( multiply @ X7 @ X8 ) != ( sk_c10 ) ) |
% 15.27/2.78 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ X3 ) != ( sk_c11 ) ) | ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 15.27/2.78 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 15.27/2.78 ( ( inverse @ X1 ) != ( sk_c11 ) ) |
% 15.27/2.78 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c10 ) ) |
% 15.27/2.78 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c10 ) ) |
% 15.27/2.78 ( ( inverse @ X5 ) != ( X6 ) ) |
% 15.27/2.78 ( ( multiply @ X5 @ X6 ) != ( sk_c10 ) ) |
% 15.27/2.78 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c11 ) ) |
% 15.27/2.78 ( ( inverse @ X4 ) != ( sk_c11 ) ) | ( ( inverse @ sk_c10 ) != ( sk_c9 ) )),
% 15.27/2.78 inference('cnf.neg', [status(esa)], [prove_this_55])).
% 15.27/2.78 thf(zip_derived_cl57, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 15.27/2.78 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (sk_c10))
% 15.27/2.78 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((inverse @ X3) != (sk_c10))
% 15.27/2.78 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 15.27/2.78 | ((inverse @ X4) != (sk_c11))
% 15.27/2.78 | ((multiply @ X4 @ sk_c11) != (sk_c10))
% 15.27/2.78 | ((multiply @ X5 @ sk_c9) != (sk_c10))
% 15.27/2.78 | ((inverse @ X6) != (X5))
% 15.27/2.78 | ((multiply @ X6 @ X5) != (sk_c10))
% 15.27/2.78 | ((multiply @ X7 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((inverse @ X7) != (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c10) != (sk_c9)))),
% 15.27/2.78 inference('cnf', [status(esa)], [zf_stmt_13])).
% 15.27/2.78 thf(zip_derived_cl58, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 15.27/2.78 (((multiply @ X0 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (sk_c10))
% 15.27/2.78 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((inverse @ X3) != (sk_c10))
% 15.27/2.78 | ((multiply @ X3 @ sk_c10) != (inverse @ sk_c10))
% 15.27/2.78 | ((inverse @ X4) != (sk_c11))
% 15.27/2.78 | ((multiply @ X4 @ sk_c11) != (sk_c10))
% 15.27/2.78 | ((multiply @ X5 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((inverse @ X6) != (X5))
% 15.27/2.78 | ((multiply @ X6 @ X5) != (sk_c10))
% 15.27/2.78 | ((multiply @ X7 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((inverse @ X7) != (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c10) != (sk_c9)))),
% 15.27/2.78 inference('local_rewriting', [status(thm)], [zip_derived_cl57])).
% 15.27/2.78 thf(zip_derived_cl39687, plain, (((sk_c9) = (inverse @ sk_c10))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl39575])).
% 15.27/2.78 thf(zip_derived_cl39777, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 15.27/2.78 (((multiply @ X0 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (sk_c10))
% 15.27/2.78 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((inverse @ X3) != (sk_c10))
% 15.27/2.78 | ((multiply @ X3 @ sk_c10) != (inverse @ sk_c10))
% 15.27/2.78 | ((inverse @ X4) != (sk_c11))
% 15.27/2.78 | ((multiply @ X4 @ sk_c11) != (sk_c10))
% 15.27/2.78 | ((multiply @ X5 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((inverse @ X6) != (X5))
% 15.27/2.78 | ((multiply @ X6 @ X5) != (sk_c10))
% 15.27/2.78 | ((multiply @ X7 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((inverse @ X7) != (sk_c11))
% 15.27/2.78 | ((inverse @ sk_c10) != (inverse @ sk_c10)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl39687])).
% 15.27/2.78 thf(zip_derived_cl39778, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 15.27/2.78 (((inverse @ X7) != (sk_c11))
% 15.27/2.78 | ((multiply @ X7 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((multiply @ X6 @ X5) != (sk_c10))
% 15.27/2.78 | ((inverse @ X6) != (X5))
% 15.27/2.78 | ((multiply @ X5 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((multiply @ X4 @ sk_c11) != (sk_c10))
% 15.27/2.78 | ((inverse @ X4) != (sk_c11))
% 15.27/2.78 | ((multiply @ X3 @ sk_c10) != (inverse @ sk_c10))
% 15.27/2.78 | ((inverse @ X3) != (sk_c10))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (sk_c10))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((multiply @ X0 @ (inverse @ sk_c10)) != (sk_c10)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl39777])).
% 15.27/2.78 thf(zip_derived_cl39839, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 15.27/2.78 (((sk_c11) != (sk_c11))
% 15.27/2.78 | ((multiply @ X0 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (sk_c10))
% 15.27/2.78 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((inverse @ X3) != (sk_c10))
% 15.27/2.78 | ((multiply @ X3 @ sk_c10) != (inverse @ sk_c10))
% 15.27/2.78 | ((inverse @ X4) != (sk_c11))
% 15.27/2.78 | ((multiply @ X4 @ sk_c11) != (sk_c10))
% 15.27/2.78 | ((multiply @ X5 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((inverse @ X6) != (X5))
% 15.27/2.78 | ((multiply @ X6 @ X5) != (sk_c10))
% 15.27/2.78 | ((multiply @ (multiply @ (inverse @ sk_c10) @ sk_c11) @ sk_c10)
% 15.27/2.78 != (sk_c11)))),
% 15.27/2.78 inference('sup-', [status(thm)],
% 15.27/2.78 [zip_derived_cl9538, zip_derived_cl39778])).
% 15.27/2.78 thf(zip_derived_cl2, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.78 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 15.27/2.78 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 15.27/2.78 inference('cnf', [status(esa)], [associativity])).
% 15.27/2.78 thf(zip_derived_cl8858, plain, (((sk_c10) = (multiply @ sk_c11 @ sk_c11))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl8851, zip_derived_cl761])).
% 15.27/2.78 thf(zip_derived_cl8887, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 ((multiply @ sk_c10 @ X0)
% 15.27/2.78 = (multiply @ sk_c11 @ (multiply @ sk_c11 @ X0)))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl8858, zip_derived_cl2])).
% 15.27/2.78 thf(zip_derived_cl8955, plain,
% 15.27/2.78 (((multiply @ sk_c10 @ sk_c11) = (multiply @ sk_c11 @ sk_c10))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl8858, zip_derived_cl8887])).
% 15.27/2.78 thf(zip_derived_cl195, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl39873, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 15.27/2.78 (((sk_c11) != (sk_c11))
% 15.27/2.78 | ((multiply @ X0 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (sk_c10))
% 15.27/2.78 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((inverse @ X3) != (sk_c10))
% 15.27/2.78 | ((multiply @ X3 @ sk_c10) != (inverse @ sk_c10))
% 15.27/2.78 | ((inverse @ X4) != (sk_c11))
% 15.27/2.78 | ((multiply @ X4 @ sk_c11) != (sk_c10))
% 15.27/2.78 | ((multiply @ X5 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((inverse @ X6) != (X5))
% 15.27/2.78 | ((multiply @ X6 @ X5) != (sk_c10))
% 15.27/2.78 | ((sk_c11) != (sk_c11)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl39839, zip_derived_cl2, zip_derived_cl8955,
% 15.27/2.78 zip_derived_cl195])).
% 15.27/2.78 thf(zip_derived_cl39874, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 15.27/2.78 (((multiply @ X6 @ X5) != (sk_c10))
% 15.27/2.78 | ((inverse @ X6) != (X5))
% 15.27/2.78 | ((multiply @ X5 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((multiply @ X4 @ sk_c11) != (sk_c10))
% 15.27/2.78 | ((inverse @ X4) != (sk_c11))
% 15.27/2.78 | ((multiply @ X3 @ sk_c10) != (inverse @ sk_c10))
% 15.27/2.78 | ((inverse @ X3) != (sk_c10))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (sk_c10))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((multiply @ X0 @ (inverse @ sk_c10)) != (sk_c10)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl39873])).
% 15.27/2.78 thf(zip_derived_cl39912, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 15.27/2.78 (((identity) != (X0))
% 15.27/2.78 | ((multiply @ X1 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((inverse @ X2) != (X1))
% 15.27/2.78 | ((multiply @ X2 @ X1) != (sk_c10))
% 15.27/2.78 | ((multiply @ X3 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((inverse @ X3) != (sk_c11))
% 15.27/2.78 | ((inverse @ X4) != (sk_c10))
% 15.27/2.78 | ((multiply @ X4 @ sk_c10) != (inverse @ sk_c10))
% 15.27/2.78 | ((inverse @ X5) != (sk_c11))
% 15.27/2.78 | ((multiply @ X5 @ sk_c11) != (sk_c10))
% 15.27/2.78 | ((multiply @ X0 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((multiply @ identity @ X0) != (sk_c10)))),
% 15.27/2.78 inference('sup-', [status(thm)], [zip_derived_cl602, zip_derived_cl39874])).
% 15.27/2.78 thf(zip_derived_cl0, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_identity])).
% 15.27/2.78 thf(zip_derived_cl39944, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 15.27/2.78 (((identity) != (X0))
% 15.27/2.78 | ((multiply @ X1 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((inverse @ X2) != (X1))
% 15.27/2.78 | ((multiply @ X2 @ X1) != (sk_c10))
% 15.27/2.78 | ((multiply @ X3 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((inverse @ X3) != (sk_c11))
% 15.27/2.78 | ((inverse @ X4) != (sk_c10))
% 15.27/2.78 | ((multiply @ X4 @ sk_c10) != (inverse @ sk_c10))
% 15.27/2.78 | ((inverse @ X5) != (sk_c11))
% 15.27/2.78 | ((multiply @ X5 @ sk_c11) != (sk_c10))
% 15.27/2.78 | ((multiply @ X0 @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((X0) != (sk_c10)))),
% 15.27/2.78 inference('demod', [status(thm)], [zip_derived_cl39912, zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl39946, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.27/2.78 (((identity) != (sk_c10))
% 15.27/2.78 | ((multiply @ identity @ (inverse @ sk_c10)) != (sk_c10))
% 15.27/2.78 | ((multiply @ X0 @ sk_c11) != (sk_c10))
% 15.27/2.78 | ((inverse @ X0) != (sk_c11))
% 15.27/2.78 | ((multiply @ X1 @ sk_c10) != (inverse @ sk_c10))
% 15.27/2.78 | ((inverse @ X1) != (sk_c10))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 15.27/2.78 | ((multiply @ X4 @ X3) != (sk_c10))
% 15.27/2.78 | ((inverse @ X4) != (X3))
% 15.27/2.78 | ((multiply @ X3 @ (inverse @ sk_c10)) != (sk_c10)))),
% 15.27/2.78 inference('eq_res', [status(thm)], [zip_derived_cl39944])).
% 15.27/2.78 thf(zip_derived_cl39947, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.27/2.78 (((identity) != (sk_c10))
% 15.27/2.78 | ((multiply @ identity @ (inverse @ identity)) != (identity))
% 15.27/2.78 | ((multiply @ X0 @ sk_c11) != (identity))
% 15.27/2.78 | ((inverse @ X0) != (sk_c11))
% 15.27/2.78 | ((multiply @ X1 @ identity) != (inverse @ identity))
% 15.27/2.78 | ((inverse @ X1) != (identity))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((multiply @ X2 @ identity) != (sk_c11))
% 15.27/2.78 | ((multiply @ X4 @ X3) != (identity))
% 15.27/2.78 | ((inverse @ X4) != (X3))
% 15.27/2.78 | ((multiply @ X3 @ (inverse @ identity)) != (identity)))),
% 15.27/2.78 inference('local_rewriting', [status(thm)], [zip_derived_cl39946])).
% 15.27/2.78 thf(zip_derived_cl602, plain, (((inverse @ identity) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl0, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 15.27/2.78 inference('cnf', [status(esa)], [left_identity])).
% 15.27/2.78 thf(zip_derived_cl726, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl204])).
% 15.27/2.78 thf(zip_derived_cl602, plain, (((inverse @ identity) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl726, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl204])).
% 15.27/2.78 thf(zip_derived_cl602, plain, (((inverse @ identity) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl726, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl204])).
% 15.27/2.78 thf(zip_derived_cl39948, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.27/2.78 (((identity) != (sk_c10))
% 15.27/2.78 | ((identity) != (identity))
% 15.27/2.78 | ((multiply @ X0 @ sk_c11) != (identity))
% 15.27/2.78 | ((inverse @ X0) != (sk_c11))
% 15.27/2.78 | ((X1) != (identity))
% 15.27/2.78 | ((inverse @ X1) != (identity))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((X2) != (sk_c11))
% 15.27/2.78 | ((multiply @ X4 @ X3) != (identity))
% 15.27/2.78 | ((inverse @ X4) != (X3))
% 15.27/2.78 | ((X3) != (identity)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl39947, zip_derived_cl602, zip_derived_cl0,
% 15.27/2.78 zip_derived_cl726, zip_derived_cl602, zip_derived_cl726,
% 15.27/2.78 zip_derived_cl602, zip_derived_cl726])).
% 15.27/2.78 thf(zip_derived_cl39949, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.27/2.78 (((X3) != (identity))
% 15.27/2.78 | ((inverse @ X4) != (X3))
% 15.27/2.78 | ((multiply @ X4 @ X3) != (identity))
% 15.27/2.78 | ((X2) != (sk_c11))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((inverse @ X1) != (identity))
% 15.27/2.78 | ((X1) != (identity))
% 15.27/2.78 | ((inverse @ X0) != (sk_c11))
% 15.27/2.78 | ((multiply @ X0 @ sk_c11) != (identity))
% 15.27/2.78 | ((identity) != (sk_c10)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl39948])).
% 15.27/2.78 thf(zip_derived_cl41348, plain, (((sk_c10) = (identity))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl41347])).
% 15.27/2.78 thf(zip_derived_cl41452, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.27/2.78 (((X3) != (identity))
% 15.27/2.78 | ((inverse @ X4) != (X3))
% 15.27/2.78 | ((multiply @ X4 @ X3) != (identity))
% 15.27/2.78 | ((X2) != (sk_c11))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((inverse @ X1) != (identity))
% 15.27/2.78 | ((X1) != (identity))
% 15.27/2.78 | ((inverse @ X0) != (sk_c11))
% 15.27/2.78 | ((multiply @ X0 @ sk_c11) != (identity))
% 15.27/2.78 | ((identity) != (identity)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl39949, zip_derived_cl41348])).
% 15.27/2.78 thf(zip_derived_cl41453, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.27/2.78 (((multiply @ X0 @ sk_c11) != (identity))
% 15.27/2.78 | ((inverse @ X0) != (sk_c11))
% 15.27/2.78 | ((X1) != (identity))
% 15.27/2.78 | ((inverse @ X1) != (identity))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((X2) != (sk_c11))
% 15.27/2.78 | ((multiply @ X4 @ X3) != (identity))
% 15.27/2.78 | ((inverse @ X4) != (X3))
% 15.27/2.78 | ((X3) != (identity)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl41452])).
% 15.27/2.78 thf(zip_derived_cl41678, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.27/2.78 (((X0) != (identity))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (identity))
% 15.27/2.78 | ((X2) != (sk_c11))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((inverse @ identity) != (identity))
% 15.27/2.78 | ((inverse @ X3) != (sk_c11))
% 15.27/2.78 | ((multiply @ X3 @ sk_c11) != (identity)))),
% 15.27/2.78 inference('eq_res', [status(thm)], [zip_derived_cl41453])).
% 15.27/2.78 thf(zip_derived_cl602, plain, (((inverse @ identity) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl41679, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.27/2.78 (((X0) != (identity))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (identity))
% 15.27/2.78 | ((X2) != (sk_c11))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((identity) != (identity))
% 15.27/2.78 | ((inverse @ X3) != (sk_c11))
% 15.27/2.78 | ((multiply @ X3 @ sk_c11) != (identity)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl41678, zip_derived_cl602])).
% 15.27/2.78 thf(zip_derived_cl41680, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.27/2.78 (((multiply @ X3 @ sk_c11) != (identity))
% 15.27/2.78 | ((inverse @ X3) != (sk_c11))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((X2) != (sk_c11))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (identity))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((X0) != (identity)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl41679])).
% 15.27/2.78 thf(zip_derived_cl41681, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.78 (((X0) != (identity))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (identity))
% 15.27/2.78 | ((inverse @ sk_c11) != (sk_c11))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((multiply @ X2 @ sk_c11) != (identity)))),
% 15.27/2.78 inference('eq_res', [status(thm)], [zip_derived_cl41680])).
% 15.27/2.78 thf(zip_derived_cl41414, plain, (((inverse @ sk_c11) = (sk_c11))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl9119, zip_derived_cl41348, zip_derived_cl602,
% 15.27/2.78 zip_derived_cl0])).
% 15.27/2.78 thf(zip_derived_cl41682, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.78 (((X0) != (identity))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (identity))
% 15.27/2.78 | ((sk_c11) != (sk_c11))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((multiply @ X2 @ sk_c11) != (identity)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl41681, zip_derived_cl41414])).
% 15.27/2.78 thf(zip_derived_cl41683, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.27/2.78 (((multiply @ X2 @ sk_c11) != (identity))
% 15.27/2.78 | ((inverse @ X2) != (sk_c11))
% 15.27/2.78 | ((multiply @ X1 @ X0) != (identity))
% 15.27/2.78 | ((inverse @ X1) != (X0))
% 15.27/2.78 | ((X0) != (identity)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl41682])).
% 15.27/2.78 thf(zip_derived_cl41684, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 (((inverse @ X0) != (identity))
% 15.27/2.78 | ((multiply @ X0 @ identity) != (identity))
% 15.27/2.78 | ((inverse @ X1) != (sk_c11))
% 15.27/2.78 | ((multiply @ X1 @ sk_c11) != (identity)))),
% 15.27/2.78 inference('eq_res', [status(thm)], [zip_derived_cl41683])).
% 15.27/2.78 thf(zip_derived_cl726, plain,
% 15.27/2.78 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl204])).
% 15.27/2.78 thf(zip_derived_cl41685, plain,
% 15.27/2.78 (![X0 : $i, X1 : $i]:
% 15.27/2.78 (((inverse @ X0) != (identity))
% 15.27/2.78 | ((X0) != (identity))
% 15.27/2.78 | ((inverse @ X1) != (sk_c11))
% 15.27/2.78 | ((multiply @ X1 @ sk_c11) != (identity)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl41684, zip_derived_cl726])).
% 15.27/2.78 thf(zip_derived_cl41746, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((multiply @ X0 @ sk_c11) != (identity))
% 15.27/2.78 | ((inverse @ X0) != (sk_c11))
% 15.27/2.78 | ((inverse @ identity) != (identity)))),
% 15.27/2.78 inference('eq_res', [status(thm)], [zip_derived_cl41685])).
% 15.27/2.78 thf(zip_derived_cl602, plain, (((inverse @ identity) = (identity))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl1])).
% 15.27/2.78 thf(zip_derived_cl41747, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((multiply @ X0 @ sk_c11) != (identity))
% 15.27/2.78 | ((inverse @ X0) != (sk_c11))
% 15.27/2.78 | ((identity) != (identity)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl41746, zip_derived_cl602])).
% 15.27/2.78 thf(zip_derived_cl41748, plain,
% 15.27/2.78 (![X0 : $i]:
% 15.27/2.78 (((inverse @ X0) != (sk_c11))
% 15.27/2.78 | ((multiply @ X0 @ sk_c11) != (identity)))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl41747])).
% 15.27/2.78 thf(zip_derived_cl41750, plain,
% 15.27/2.78 ((((sk_c11) != (sk_c11)) | ((multiply @ sk_c11 @ sk_c11) != (identity)))),
% 15.27/2.78 inference('sup-', [status(thm)],
% 15.27/2.78 [zip_derived_cl41414, zip_derived_cl41748])).
% 15.27/2.78 thf(zip_derived_cl8858, plain, (((sk_c10) = (multiply @ sk_c11 @ sk_c11))),
% 15.27/2.78 inference('sup+', [status(thm)], [zip_derived_cl8851, zip_derived_cl761])).
% 15.27/2.78 thf(zip_derived_cl41348, plain, (((sk_c10) = (identity))),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl41347])).
% 15.27/2.78 thf(zip_derived_cl41402, plain,
% 15.27/2.78 (((identity) = (multiply @ sk_c11 @ sk_c11))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl8858, zip_derived_cl41348])).
% 15.27/2.78 thf(zip_derived_cl41757, plain,
% 15.27/2.78 ((((sk_c11) != (sk_c11)) | ((identity) != (identity)))),
% 15.27/2.78 inference('demod', [status(thm)],
% 15.27/2.78 [zip_derived_cl41750, zip_derived_cl41402])).
% 15.27/2.78 thf(zip_derived_cl41758, plain, ($false),
% 15.27/2.78 inference('simplify', [status(thm)], [zip_derived_cl41757])).
% 15.27/2.78
% 15.27/2.78 % SZS output end Refutation
% 15.27/2.78
% 15.27/2.78
% 15.27/2.78 % Terminating...
% 15.54/2.85 % Runner terminated.
% 15.54/2.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------