TSTP Solution File: GRP390-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP390-1 : 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.0hnLKIhiIy true
% Computer : n020.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 01:51:28 EDT 2023
% Result : Unsatisfiable 14.39s 2.66s
% Output : Refutation 14.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP390-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0hnLKIhiIy true
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 00:20:29 EDT 2023
% 0.22/0.36 % CPUTime :
% 0.22/0.36 % Running portfolio for 300 s
% 0.22/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.37 % Number of cores: 8
% 0.22/0.37 % Python version: Python 3.6.8
% 0.22/0.37 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 1.11/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.11/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.11/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.11/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.11/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.11/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.35/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.39/2.66 % Solved by fo/fo7.sh.
% 14.39/2.66 % done 3496 iterations in 1.842s
% 14.39/2.66 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.39/2.66 % SZS output start Refutation
% 14.39/2.66 thf(sk_c1_type, type, sk_c1: $i).
% 14.39/2.66 thf(sk_c4_type, type, sk_c4: $i).
% 14.39/2.66 thf(sk_c3_type, type, sk_c3: $i).
% 14.39/2.66 thf(sk_c6_type, type, sk_c6: $i).
% 14.39/2.66 thf(sk_c5_type, type, sk_c5: $i).
% 14.39/2.66 thf(identity_type, type, identity: $i).
% 14.39/2.66 thf(multiply_type, type, multiply: $i > $i > $i).
% 14.39/2.66 thf(sk_c7_type, type, sk_c7: $i).
% 14.39/2.66 thf(inverse_type, type, inverse: $i > $i).
% 14.39/2.66 thf(sk_c9_type, type, sk_c9: $i).
% 14.39/2.66 thf(sk_c2_type, type, sk_c2: $i).
% 14.39/2.66 thf(sk_c8_type, type, sk_c8: $i).
% 14.39/2.66 thf(prove_this_11, conjecture,
% 14.39/2.66 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 14.39/2.66 thf(zf_stmt_0, negated_conjecture,
% 14.39/2.66 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 14.39/2.66 thf(zip_derived_cl13, plain,
% 14.39/2.66 ((((inverse @ sk_c6) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.39/2.66 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 14.39/2.66 thf(zip_derived_cl1, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 14.39/2.66 thf(zip_derived_cl45, plain,
% 14.39/2.66 ((((multiply @ sk_c9 @ sk_c1) = (identity))
% 14.39/2.66 | ((inverse @ sk_c6) = (sk_c9)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl1, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 14.39/2.66 thf(associativity, axiom,
% 14.39/2.66 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 14.39/2.66 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 14.39/2.66 thf(zip_derived_cl2, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 14.39/2.66 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 14.39/2.66 inference('cnf', [status(esa)], [associativity])).
% 14.39/2.66 thf(zip_derived_cl101, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((multiply @ identity @ X0)
% 14.39/2.66 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 14.39/2.66 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 14.39/2.66 thf(zip_derived_cl0, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_identity])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl138, plain,
% 14.39/2.66 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 14.39/2.66 | ((inverse @ sk_c6) = (sk_c9)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl120])).
% 14.39/2.66 thf(prove_this_17, conjecture,
% 14.39/2.66 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 14.39/2.66 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 14.39/2.66 thf(zf_stmt_1, negated_conjecture,
% 14.39/2.66 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 14.39/2.66 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 14.39/2.66 thf(zip_derived_cl19, plain,
% 14.39/2.66 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.39/2.66 thf(zip_derived_cl304, plain,
% 14.39/2.66 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c8)
% 14.39/2.66 = (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c6) = (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c6) = (sk_c9)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl138, zip_derived_cl19])).
% 14.39/2.66 thf(zip_derived_cl2, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 14.39/2.66 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 14.39/2.66 inference('cnf', [status(esa)], [associativity])).
% 14.39/2.66 thf(zip_derived_cl0, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_identity])).
% 14.39/2.66 thf(zip_derived_cl314, plain,
% 14.39/2.66 ((((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c6) = (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c6) = (sk_c9)))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl304, zip_derived_cl2, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl315, plain,
% 14.39/2.66 ((((inverse @ sk_c6) = (sk_c9))
% 14.39/2.66 | ((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl314])).
% 14.39/2.66 thf(zip_derived_cl1, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl131, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl128, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl467, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 14.39/2.66 thf(zip_derived_cl131, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl490, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl467, zip_derived_cl131])).
% 14.39/2.66 thf(zip_derived_cl827, plain,
% 14.39/2.66 ((((sk_c6) = (inverse @ sk_c9))
% 14.39/2.66 | ((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl315, zip_derived_cl490])).
% 14.39/2.66 thf(prove_this_12, conjecture,
% 14.39/2.66 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c9 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 14.39/2.66 thf(zf_stmt_2, negated_conjecture,
% 14.39/2.66 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c9 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 14.39/2.66 thf(zip_derived_cl14, plain,
% 14.39/2.66 ((((multiply @ sk_c6 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.39/2.66 thf(zip_derived_cl490, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl467, zip_derived_cl131])).
% 14.39/2.66 thf(zip_derived_cl508, plain,
% 14.39/2.66 ((((sk_c1) = (inverse @ sk_c9)) | ((multiply @ sk_c6 @ sk_c8) = (sk_c9)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl490])).
% 14.39/2.66 thf(prove_this_18, conjecture,
% 14.39/2.66 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c9 ) ) |
% 14.39/2.66 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 14.39/2.66 thf(zf_stmt_3, negated_conjecture,
% 14.39/2.66 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c9 ) ) |
% 14.39/2.66 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 14.39/2.66 thf(zip_derived_cl20, plain,
% 14.39/2.66 ((((multiply @ sk_c6 @ sk_c8) = (sk_c9))
% 14.39/2.66 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_3])).
% 14.39/2.66 thf(zip_derived_cl661, plain,
% 14.39/2.66 ((((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9))
% 14.39/2.66 | ((multiply @ sk_c6 @ sk_c8) = (sk_c9))
% 14.39/2.66 | ((multiply @ sk_c6 @ sk_c8) = (sk_c9)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl20])).
% 14.39/2.66 thf(zip_derived_cl672, plain,
% 14.39/2.66 ((((multiply @ sk_c6 @ sk_c8) = (sk_c9))
% 14.39/2.66 | ((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl661])).
% 14.39/2.66 thf(zip_derived_cl4946, plain,
% 14.39/2.66 ((((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9))
% 14.39/2.66 | ((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9))
% 14.39/2.66 | ((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl827, zip_derived_cl672])).
% 14.39/2.66 thf(zip_derived_cl4953, plain,
% 14.39/2.66 (((multiply @ (inverse @ sk_c9) @ sk_c8) = (sk_c9))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl4946])).
% 14.39/2.66 thf(zip_derived_cl490, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl467, zip_derived_cl131])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl497, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl490, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl4958, plain, (((sk_c8) = (multiply @ sk_c9 @ sk_c9))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl4953, zip_derived_cl497])).
% 14.39/2.66 thf(prove_this_27, conjecture,
% 14.39/2.66 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 14.39/2.66 thf(zf_stmt_4, negated_conjecture,
% 14.39/2.66 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 14.39/2.66 thf(zip_derived_cl29, plain,
% 14.39/2.66 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c3)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_4])).
% 14.39/2.66 thf(prove_this_2, conjecture,
% 14.39/2.66 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 14.39/2.66 thf(zf_stmt_5, negated_conjecture,
% 14.39/2.66 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 14.39/2.66 thf(zip_derived_cl4, plain,
% 14.39/2.66 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_5])).
% 14.39/2.66 thf(zip_derived_cl490, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl467, zip_derived_cl131])).
% 14.39/2.66 thf(zip_derived_cl1, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 14.39/2.66 thf(zip_derived_cl495, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl490, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl4958, plain, (((sk_c8) = (multiply @ sk_c9 @ sk_c9))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl4953, zip_derived_cl497])).
% 14.39/2.66 thf(zip_derived_cl2, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 14.39/2.66 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 14.39/2.66 inference('cnf', [status(esa)], [associativity])).
% 14.39/2.66 thf(zip_derived_cl4976, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 ((multiply @ sk_c8 @ X0)
% 14.39/2.66 = (multiply @ sk_c9 @ (multiply @ sk_c9 @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl4958, zip_derived_cl2])).
% 14.39/2.66 thf(zip_derived_cl5016, plain,
% 14.39/2.66 (((multiply @ sk_c8 @ (inverse @ sk_c9)) = (multiply @ sk_c9 @ identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl495, zip_derived_cl4976])).
% 14.39/2.66 thf(zip_derived_cl467, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 14.39/2.66 thf(zip_derived_cl5065, plain,
% 14.39/2.66 (((multiply @ sk_c8 @ (inverse @ sk_c9)) = (sk_c9))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl5016, zip_derived_cl467])).
% 14.39/2.66 thf(prove_this_1, conjecture,
% 14.39/2.66 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 14.39/2.66 thf(zf_stmt_6, negated_conjecture,
% 14.39/2.66 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 14.39/2.66 thf(zip_derived_cl3, plain,
% 14.39/2.66 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_6])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl134, plain,
% 14.39/2.66 ((((sk_c9) = (multiply @ (inverse @ sk_c4) @ sk_c8))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl120])).
% 14.39/2.66 thf(prove_this_5, conjecture,
% 14.39/2.66 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 14.39/2.66 thf(zf_stmt_7, negated_conjecture,
% 14.39/2.66 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 14.39/2.66 thf(zip_derived_cl7, plain,
% 14.39/2.66 ((((inverse @ sk_c6) = (sk_c9)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_7])).
% 14.39/2.66 thf(zip_derived_cl1, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 14.39/2.66 thf(zip_derived_cl42, plain,
% 14.39/2.66 ((((multiply @ sk_c9 @ sk_c6) = (identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl135, plain,
% 14.39/2.66 ((((sk_c6) = (multiply @ (inverse @ sk_c9) @ identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl467, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 14.39/2.66 thf(zip_derived_cl481, plain,
% 14.39/2.66 ((((sk_c6) = (inverse @ sk_c9)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl135, zip_derived_cl467])).
% 14.39/2.66 thf(zip_derived_cl4, plain,
% 14.39/2.66 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_5])).
% 14.39/2.66 thf(zip_derived_cl42, plain,
% 14.39/2.66 ((((multiply @ sk_c9 @ sk_c6) = (identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl79, plain,
% 14.39/2.66 ((((multiply @ (inverse @ sk_c4) @ sk_c6) = (identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl42])).
% 14.39/2.66 thf(zip_derived_cl80, plain,
% 14.39/2.66 ((((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((multiply @ (inverse @ sk_c4) @ sk_c6) = (identity)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl79])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl386, plain,
% 14.39/2.66 ((((sk_c6) = (multiply @ (inverse @ (inverse @ sk_c4)) @ identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl131, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl390, plain,
% 14.39/2.66 ((((sk_c6) = (sk_c4)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl386, zip_derived_cl131])).
% 14.39/2.66 thf(zip_derived_cl521, plain,
% 14.39/2.66 ((((inverse @ sk_c9) = (sk_c4))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl481, zip_derived_cl390])).
% 14.39/2.66 thf(zip_derived_cl526, plain,
% 14.39/2.66 ((((inverse @ sk_c8) = (sk_c7)) | ((inverse @ sk_c9) = (sk_c4)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl521])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl622, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((X0) = (multiply @ sk_c4 @ (multiply @ sk_c9 @ X0)))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl526, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl4461, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((X0)
% 14.39/2.66 = (multiply @ sk_c4 @
% 14.39/2.66 (multiply @ (multiply @ (inverse @ sk_c4) @ sk_c8) @ X0)))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl622])).
% 14.39/2.66 thf(zip_derived_cl2, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 14.39/2.66 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 14.39/2.66 inference('cnf', [status(esa)], [associativity])).
% 14.39/2.66 thf(zip_derived_cl497, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl490, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl4491, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((X0) = (multiply @ sk_c8 @ X0))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl4461, zip_derived_cl2, zip_derived_cl497])).
% 14.39/2.66 thf(zip_derived_cl4492, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((inverse @ sk_c8) = (sk_c7)) | ((X0) = (multiply @ sk_c8 @ X0)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl4491])).
% 14.39/2.66 thf(zip_derived_cl5121, plain,
% 14.39/2.66 ((((inverse @ sk_c9) = (sk_c9)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl5065, zip_derived_cl4492])).
% 14.39/2.66 thf(zip_derived_cl5265, plain,
% 14.39/2.66 ((((inverse @ (inverse @ sk_c4)) = (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl5121])).
% 14.39/2.66 thf(zip_derived_cl490, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl467, zip_derived_cl131])).
% 14.39/2.66 thf(zip_derived_cl5277, plain,
% 14.39/2.66 ((((sk_c4) = (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl5265, zip_derived_cl490])).
% 14.39/2.66 thf(zip_derived_cl5278, plain,
% 14.39/2.66 ((((inverse @ sk_c8) = (sk_c7)) | ((sk_c4) = (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl5277])).
% 14.39/2.66 thf(zip_derived_cl42, plain,
% 14.39/2.66 ((((multiply @ sk_c9 @ sk_c6) = (identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl4976, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 ((multiply @ sk_c8 @ X0)
% 14.39/2.66 = (multiply @ sk_c9 @ (multiply @ sk_c9 @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl4958, zip_derived_cl2])).
% 14.39/2.66 thf(zip_derived_cl5034, plain,
% 14.39/2.66 ((((multiply @ sk_c8 @ sk_c6) = (multiply @ sk_c9 @ identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl4976])).
% 14.39/2.66 thf(zip_derived_cl467, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 14.39/2.66 thf(zip_derived_cl5071, plain,
% 14.39/2.66 ((((multiply @ sk_c8 @ sk_c6) = (sk_c9)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl5034, zip_derived_cl467])).
% 14.39/2.66 thf(prove_this_4, conjecture,
% 14.39/2.66 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 14.39/2.66 thf(zf_stmt_8, negated_conjecture,
% 14.39/2.66 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 14.39/2.66 thf(zip_derived_cl6, plain,
% 14.39/2.66 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_8])).
% 14.39/2.66 thf(zip_derived_cl497, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl490, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl708, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((X0) = (multiply @ sk_c5 @ (multiply @ sk_c8 @ X0)))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl497])).
% 14.39/2.66 thf(zip_derived_cl14960, plain,
% 14.39/2.66 ((((sk_c6) = (multiply @ sk_c5 @ sk_c9))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl5071, zip_derived_cl708])).
% 14.39/2.66 thf(zip_derived_cl14980, plain,
% 14.39/2.66 ((((inverse @ sk_c8) = (sk_c7)) | ((sk_c6) = (multiply @ sk_c5 @ sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl14960])).
% 14.39/2.66 thf(zip_derived_cl7, plain,
% 14.39/2.66 ((((inverse @ sk_c6) = (sk_c9)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_7])).
% 14.39/2.66 thf(zip_derived_cl14985, plain,
% 14.39/2.66 ((((inverse @ (multiply @ sk_c5 @ sk_c9)) = (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl14980, zip_derived_cl7])).
% 14.39/2.66 thf(zip_derived_cl15037, plain,
% 14.39/2.66 ((((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ (multiply @ sk_c5 @ sk_c9)) = (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl14985])).
% 14.39/2.66 thf(zip_derived_cl15776, plain,
% 14.39/2.66 ((((inverse @ (multiply @ sk_c5 @ sk_c4)) = (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)],
% 14.39/2.66 [zip_derived_cl5278, zip_derived_cl15037])).
% 14.39/2.66 thf(zip_derived_cl15829, plain,
% 14.39/2.66 ((((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ (multiply @ sk_c5 @ sk_c4)) = (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl15776])).
% 14.39/2.66 thf(zip_derived_cl495, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl490, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl16157, plain,
% 14.39/2.66 ((((multiply @ (multiply @ sk_c5 @ sk_c4) @ sk_c9) = (identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl15829, zip_derived_cl495])).
% 14.39/2.66 thf(zip_derived_cl2, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 14.39/2.66 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 14.39/2.66 inference('cnf', [status(esa)], [associativity])).
% 14.39/2.66 thf(zip_derived_cl18241, plain,
% 14.39/2.66 ((((identity) = (multiply @ sk_c5 @ (multiply @ sk_c4 @ sk_c9)))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl16157, zip_derived_cl2])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl21062, plain,
% 14.39/2.66 ((((multiply @ sk_c4 @ sk_c9) = (multiply @ (inverse @ sk_c5) @ identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl18241, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl467, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 14.39/2.66 thf(zip_derived_cl23516, plain,
% 14.39/2.66 ((((multiply @ sk_c4 @ sk_c9) = (inverse @ sk_c5))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl21062, zip_derived_cl467])).
% 14.39/2.66 thf(zip_derived_cl1, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 14.39/2.66 thf(zip_derived_cl23548, plain,
% 14.39/2.66 ((((multiply @ (multiply @ sk_c4 @ sk_c9) @ sk_c5) = (identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl23516, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl2, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 14.39/2.66 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 14.39/2.66 inference('cnf', [status(esa)], [associativity])).
% 14.39/2.66 thf(zip_derived_cl26553, plain,
% 14.39/2.66 ((((identity) = (multiply @ sk_c4 @ (multiply @ sk_c9 @ sk_c5)))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl23548, zip_derived_cl2])).
% 14.39/2.66 thf(zip_derived_cl390, plain,
% 14.39/2.66 ((((sk_c6) = (sk_c4)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl386, zip_derived_cl131])).
% 14.39/2.66 thf(zip_derived_cl42, plain,
% 14.39/2.66 ((((multiply @ sk_c9 @ sk_c6) = (identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl393, plain,
% 14.39/2.66 ((((multiply @ sk_c9 @ sk_c4) = (identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl42])).
% 14.39/2.66 thf(zip_derived_cl398, plain,
% 14.39/2.66 ((((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((multiply @ sk_c9 @ sk_c4) = (identity)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl393])).
% 14.39/2.66 thf(zip_derived_cl2, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 14.39/2.66 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 14.39/2.66 inference('cnf', [status(esa)], [associativity])).
% 14.39/2.66 thf(zip_derived_cl412, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((multiply @ identity @ X0)
% 14.39/2.66 = (multiply @ sk_c9 @ (multiply @ sk_c4 @ X0)))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl398, zip_derived_cl2])).
% 14.39/2.66 thf(zip_derived_cl0, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_identity])).
% 14.39/2.66 thf(zip_derived_cl420, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((X0) = (multiply @ sk_c9 @ (multiply @ sk_c4 @ X0)))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl412, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl31704, plain,
% 14.39/2.66 ((((multiply @ sk_c9 @ sk_c5) = (multiply @ sk_c9 @ identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl26553, zip_derived_cl420])).
% 14.39/2.66 thf(zip_derived_cl467, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 14.39/2.66 thf(zip_derived_cl31907, plain,
% 14.39/2.66 ((((multiply @ sk_c9 @ sk_c5) = (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl31704, zip_derived_cl467])).
% 14.39/2.66 thf(zip_derived_cl31908, plain,
% 14.39/2.66 ((((inverse @ sk_c8) = (sk_c7)) | ((multiply @ sk_c9 @ sk_c5) = (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl31907])).
% 14.39/2.66 thf(zip_derived_cl4976, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 ((multiply @ sk_c8 @ X0)
% 14.39/2.66 = (multiply @ sk_c9 @ (multiply @ sk_c9 @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl4958, zip_derived_cl2])).
% 14.39/2.66 thf(zip_derived_cl31920, plain,
% 14.39/2.66 ((((multiply @ sk_c8 @ sk_c5) = (multiply @ sk_c9 @ sk_c9))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)],
% 14.39/2.66 [zip_derived_cl31908, zip_derived_cl4976])).
% 14.39/2.66 thf(zip_derived_cl4958, plain, (((sk_c8) = (multiply @ sk_c9 @ sk_c9))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl4953, zip_derived_cl497])).
% 14.39/2.66 thf(zip_derived_cl32076, plain,
% 14.39/2.66 ((((multiply @ sk_c8 @ sk_c5) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl31920, zip_derived_cl4958])).
% 14.39/2.66 thf(zip_derived_cl708, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((X0) = (multiply @ sk_c5 @ (multiply @ sk_c8 @ X0)))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl497])).
% 14.39/2.66 thf(zip_derived_cl32441, plain,
% 14.39/2.66 ((((sk_c5) = (multiply @ sk_c5 @ sk_c8))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl32076, zip_derived_cl708])).
% 14.39/2.66 thf(zip_derived_cl32481, plain,
% 14.39/2.66 ((((inverse @ sk_c8) = (sk_c7)) | ((sk_c5) = (multiply @ sk_c5 @ sk_c8)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl32441])).
% 14.39/2.66 thf(prove_this_3, conjecture,
% 14.39/2.66 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 14.39/2.66 thf(zf_stmt_9, negated_conjecture,
% 14.39/2.66 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 14.39/2.66 thf(zip_derived_cl5, plain,
% 14.39/2.66 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_9])).
% 14.39/2.66 thf(zip_derived_cl32912, plain,
% 14.39/2.66 ((((sk_c5) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl32481, zip_derived_cl5])).
% 14.39/2.66 thf(zip_derived_cl32962, plain,
% 14.39/2.66 ((((inverse @ sk_c8) = (sk_c7)) | ((sk_c5) = (sk_c7)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl32912])).
% 14.39/2.66 thf(zip_derived_cl6, plain,
% 14.39/2.66 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_8])).
% 14.39/2.66 thf(zip_derived_cl1, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 14.39/2.66 thf(zip_derived_cl41, plain,
% 14.39/2.66 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl133, plain,
% 14.39/2.66 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl467, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 14.39/2.66 thf(zip_derived_cl480, plain,
% 14.39/2.66 ((((sk_c5) = (inverse @ sk_c8)) | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl133, zip_derived_cl467])).
% 14.39/2.66 thf(zip_derived_cl32969, plain,
% 14.39/2.66 ((((sk_c7) = (inverse @ sk_c8))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((inverse @ sk_c8) = (sk_c7)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl32962, zip_derived_cl480])).
% 14.39/2.66 thf(zip_derived_cl33071, plain, (((sk_c7) = (inverse @ sk_c8))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl32969])).
% 14.39/2.66 thf(zip_derived_cl33146, plain,
% 14.39/2.66 ((((multiply @ sk_c5 @ sk_c8) = (inverse @ sk_c8))
% 14.39/2.66 | ((inverse @ sk_c2) = (sk_c3)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl33071])).
% 14.39/2.66 thf(prove_this_21, conjecture,
% 14.39/2.66 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 14.39/2.66 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 14.39/2.66 thf(zf_stmt_10, negated_conjecture,
% 14.39/2.66 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 14.39/2.66 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c8 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 14.39/2.66 thf(zip_derived_cl23, plain,
% 14.39/2.66 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7))
% 14.39/2.66 | ((multiply @ sk_c2 @ sk_c3) = (sk_c8)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_10])).
% 14.39/2.66 thf(zip_derived_cl33071, plain, (((sk_c7) = (inverse @ sk_c8))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl32969])).
% 14.39/2.66 thf(zip_derived_cl33145, plain,
% 14.39/2.66 ((((multiply @ sk_c5 @ sk_c8) = (inverse @ sk_c8))
% 14.39/2.66 | ((multiply @ sk_c2 @ sk_c3) = (sk_c8)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl33071])).
% 14.39/2.66 thf(zip_derived_cl35444, plain,
% 14.39/2.66 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c8))
% 14.39/2.66 | ((multiply @ sk_c5 @ sk_c8) = (inverse @ sk_c8))
% 14.39/2.66 | ((multiply @ sk_c5 @ sk_c8) = (inverse @ sk_c8)))),
% 14.39/2.66 inference('sup+', [status(thm)],
% 14.39/2.66 [zip_derived_cl33146, zip_derived_cl33145])).
% 14.39/2.66 thf(zip_derived_cl495, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl490, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl35451, plain,
% 14.39/2.66 ((((identity) = (sk_c8))
% 14.39/2.66 | ((multiply @ sk_c5 @ sk_c8) = (inverse @ sk_c8))
% 14.39/2.66 | ((multiply @ sk_c5 @ sk_c8) = (inverse @ sk_c8)))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35444, zip_derived_cl495])).
% 14.39/2.66 thf(zip_derived_cl35452, plain,
% 14.39/2.66 ((((multiply @ sk_c5 @ sk_c8) = (inverse @ sk_c8))
% 14.39/2.66 | ((identity) = (sk_c8)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl35451])).
% 14.39/2.66 thf(prove_this_28, conjecture,
% 14.39/2.66 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 14.39/2.66 thf(zf_stmt_11, negated_conjecture,
% 14.39/2.66 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 14.39/2.66 thf(zip_derived_cl30, plain,
% 14.39/2.66 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c3)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_11])).
% 14.39/2.66 thf(prove_this_22, conjecture,
% 14.39/2.66 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 14.39/2.66 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 14.39/2.66 thf(zf_stmt_12, negated_conjecture,
% 14.39/2.66 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 14.39/2.66 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c8 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 14.39/2.66 thf(zip_derived_cl24, plain,
% 14.39/2.66 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c3) = (sk_c8)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_12])).
% 14.39/2.66 thf(zip_derived_cl85, plain,
% 14.39/2.66 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c8))
% 14.39/2.66 | ((inverse @ sk_c5) = (sk_c8))
% 14.39/2.66 | ((inverse @ sk_c5) = (sk_c8)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl24])).
% 14.39/2.66 thf(zip_derived_cl88, plain,
% 14.39/2.66 ((((inverse @ sk_c5) = (sk_c8))
% 14.39/2.66 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c8)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl85])).
% 14.39/2.66 thf(zip_derived_cl495, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl490, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl1562, plain,
% 14.39/2.66 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c8)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl495])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl1567, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((X0) = (multiply @ sk_c8 @ (multiply @ sk_c5 @ X0)))
% 14.39/2.66 | ((identity) = (sk_c8)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl1562, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl35456, plain,
% 14.39/2.66 ((((sk_c8) = (multiply @ sk_c8 @ (inverse @ sk_c8)))
% 14.39/2.66 | ((identity) = (sk_c8))
% 14.39/2.66 | ((identity) = (sk_c8)))),
% 14.39/2.66 inference('sup+', [status(thm)],
% 14.39/2.66 [zip_derived_cl35452, zip_derived_cl1567])).
% 14.39/2.66 thf(zip_derived_cl495, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl490, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl35462, plain,
% 14.39/2.66 ((((sk_c8) = (identity))
% 14.39/2.66 | ((identity) = (sk_c8))
% 14.39/2.66 | ((identity) = (sk_c8)))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35456, zip_derived_cl495])).
% 14.39/2.66 thf(zip_derived_cl35463, plain, (((sk_c8) = (identity))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl35462])).
% 14.39/2.66 thf(zip_derived_cl35506, plain, (((identity) = (multiply @ sk_c9 @ sk_c9))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl4958, zip_derived_cl35463])).
% 14.39/2.66 thf(prove_this_8, conjecture,
% 14.39/2.66 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 14.39/2.66 thf(zf_stmt_13, negated_conjecture,
% 14.39/2.66 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 14.39/2.66 thf(zip_derived_cl10, plain,
% 14.39/2.66 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_13])).
% 14.39/2.66 thf(zip_derived_cl0, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_identity])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl130, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl160, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl1, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_inverse])).
% 14.39/2.66 thf(zip_derived_cl348, plain, (((inverse @ identity) = (identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl5065, plain,
% 14.39/2.66 (((multiply @ sk_c8 @ (inverse @ sk_c9)) = (sk_c9))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl5016, zip_derived_cl467])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl5119, plain,
% 14.39/2.66 (((inverse @ sk_c9) = (multiply @ (inverse @ sk_c8) @ sk_c9))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl5065, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl490, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl467, zip_derived_cl131])).
% 14.39/2.66 thf(zip_derived_cl5698, plain,
% 14.39/2.66 (((sk_c9) = (inverse @ (multiply @ (inverse @ sk_c8) @ sk_c9)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl5119, zip_derived_cl490])).
% 14.39/2.66 thf(prove_this_37, conjecture,
% 14.39/2.66 (~( ( ( multiply @ X3 @ sk_c8 ) != ( sk_c9 ) ) |
% 14.39/2.66 ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 14.39/2.66 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 14.39/2.66 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 14.39/2.66 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 14.39/2.66 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 14.39/2.66 ( ( multiply @ X6 @ sk_c7 ) != ( sk_c8 ) ) |
% 14.39/2.66 ( ( inverse @ X5 ) != ( X6 ) ) |
% 14.39/2.66 ( ( multiply @ X5 @ X6 ) != ( sk_c8 ) ) |
% 14.39/2.66 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 14.39/2.66 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 14.39/2.66 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) ))).
% 14.39/2.66 thf(zf_stmt_14, negated_conjecture,
% 14.39/2.66 (( ( multiply @ X3 @ sk_c8 ) != ( sk_c9 ) ) |
% 14.39/2.66 ( ( inverse @ X3 ) != ( sk_c9 ) ) | ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 14.39/2.66 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 14.39/2.66 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 14.39/2.66 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 14.39/2.66 ( ( multiply @ X6 @ sk_c7 ) != ( sk_c8 ) ) |
% 14.39/2.66 ( ( inverse @ X5 ) != ( X6 ) ) |
% 14.39/2.66 ( ( multiply @ X5 @ X6 ) != ( sk_c8 ) ) |
% 14.39/2.66 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 14.39/2.66 ( ( inverse @ X4 ) != ( sk_c9 ) ) | ( ( inverse @ sk_c8 ) != ( sk_c7 ) )),
% 14.39/2.66 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 14.39/2.66 thf(zip_derived_cl39, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.39/2.66 (((multiply @ X0 @ sk_c8) != (sk_c9))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((inverse @ X1) != (sk_c8))
% 14.39/2.66 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 14.39/2.66 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 14.39/2.66 | ((inverse @ X4) != (X3))
% 14.39/2.66 | ((multiply @ X4 @ X3) != (sk_c8))
% 14.39/2.66 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 14.39/2.66 | ((inverse @ X5) != (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c8) != (sk_c7)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_14])).
% 14.39/2.66 thf(zip_derived_cl40, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.39/2.66 (((multiply @ X0 @ sk_c8) != (sk_c9))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((inverse @ X1) != (sk_c8))
% 14.39/2.66 | ((multiply @ X1 @ sk_c8) != (inverse @ sk_c8))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 14.39/2.66 | ((multiply @ X3 @ (inverse @ sk_c8)) != (sk_c8))
% 14.39/2.66 | ((inverse @ X4) != (X3))
% 14.39/2.66 | ((multiply @ X4 @ X3) != (sk_c8))
% 14.39/2.66 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 14.39/2.66 | ((inverse @ X5) != (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c8) != (sk_c7)))),
% 14.39/2.66 inference('local_rewriting', [status(thm)], [zip_derived_cl39])).
% 14.39/2.66 thf(zip_derived_cl33071, plain, (((sk_c7) = (inverse @ sk_c8))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl32969])).
% 14.39/2.66 thf(zip_derived_cl33153, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.39/2.66 (((multiply @ X0 @ sk_c8) != (sk_c9))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((inverse @ X1) != (sk_c8))
% 14.39/2.66 | ((multiply @ X1 @ sk_c8) != (inverse @ sk_c8))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 14.39/2.66 | ((multiply @ X3 @ (inverse @ sk_c8)) != (sk_c8))
% 14.39/2.66 | ((inverse @ X4) != (X3))
% 14.39/2.66 | ((multiply @ X4 @ X3) != (sk_c8))
% 14.39/2.66 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 14.39/2.66 | ((inverse @ X5) != (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c8) != (inverse @ sk_c8)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl33071])).
% 14.39/2.66 thf(zip_derived_cl33154, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 14.39/2.66 (((inverse @ X5) != (sk_c9))
% 14.39/2.66 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 14.39/2.66 | ((multiply @ X4 @ X3) != (sk_c8))
% 14.39/2.66 | ((inverse @ X4) != (X3))
% 14.39/2.66 | ((multiply @ X3 @ (inverse @ sk_c8)) != (sk_c8))
% 14.39/2.66 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((multiply @ X1 @ sk_c8) != (inverse @ sk_c8))
% 14.39/2.66 | ((inverse @ X1) != (sk_c8))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((multiply @ X0 @ sk_c8) != (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl33153])).
% 14.39/2.66 thf(zip_derived_cl33205, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.39/2.66 (((sk_c9) != (sk_c9))
% 14.39/2.66 | ((multiply @ X0 @ sk_c8) != (sk_c9))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((inverse @ X1) != (sk_c8))
% 14.39/2.66 | ((multiply @ X1 @ sk_c8) != (inverse @ sk_c8))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 14.39/2.66 | ((multiply @ X3 @ (inverse @ sk_c8)) != (sk_c8))
% 14.39/2.66 | ((inverse @ X4) != (X3))
% 14.39/2.66 | ((multiply @ X4 @ X3) != (sk_c8))
% 14.39/2.66 | ((multiply @ (multiply @ (inverse @ sk_c8) @ sk_c9) @ sk_c8)
% 14.39/2.66 != (sk_c9)))),
% 14.39/2.66 inference('sup-', [status(thm)],
% 14.39/2.66 [zip_derived_cl5698, zip_derived_cl33154])).
% 14.39/2.66 thf(zip_derived_cl2, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 14.39/2.66 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 14.39/2.66 inference('cnf', [status(esa)], [associativity])).
% 14.39/2.66 thf(zip_derived_cl4958, plain, (((sk_c8) = (multiply @ sk_c9 @ sk_c9))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl4953, zip_derived_cl497])).
% 14.39/2.66 thf(zip_derived_cl4976, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 ((multiply @ sk_c8 @ X0)
% 14.39/2.66 = (multiply @ sk_c9 @ (multiply @ sk_c9 @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl4958, zip_derived_cl2])).
% 14.39/2.66 thf(zip_derived_cl5033, plain,
% 14.39/2.66 (((multiply @ sk_c8 @ sk_c9) = (multiply @ sk_c9 @ sk_c8))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl4958, zip_derived_cl4976])).
% 14.39/2.66 thf(zip_derived_cl120, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl33235, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.39/2.66 (((sk_c9) != (sk_c9))
% 14.39/2.66 | ((multiply @ X0 @ sk_c8) != (sk_c9))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((inverse @ X1) != (sk_c8))
% 14.39/2.66 | ((multiply @ X1 @ sk_c8) != (inverse @ sk_c8))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 14.39/2.66 | ((multiply @ X3 @ (inverse @ sk_c8)) != (sk_c8))
% 14.39/2.66 | ((inverse @ X4) != (X3))
% 14.39/2.66 | ((multiply @ X4 @ X3) != (sk_c8))
% 14.39/2.66 | ((sk_c9) != (sk_c9)))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl33205, zip_derived_cl2, zip_derived_cl5033,
% 14.39/2.66 zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl33236, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 14.39/2.66 (((multiply @ X4 @ X3) != (sk_c8))
% 14.39/2.66 | ((inverse @ X4) != (X3))
% 14.39/2.66 | ((multiply @ X3 @ (inverse @ sk_c8)) != (sk_c8))
% 14.39/2.66 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((multiply @ X1 @ sk_c8) != (inverse @ sk_c8))
% 14.39/2.66 | ((inverse @ X1) != (sk_c8))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((multiply @ X0 @ sk_c8) != (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl33235])).
% 14.39/2.66 thf(zip_derived_cl33265, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.39/2.66 (((identity) != (X0))
% 14.39/2.66 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 14.39/2.66 | ((inverse @ X1) != (sk_c9))
% 14.39/2.66 | ((inverse @ X2) != (sk_c8))
% 14.39/2.66 | ((multiply @ X2 @ sk_c8) != (inverse @ sk_c8))
% 14.39/2.66 | ((inverse @ X3) != (sk_c9))
% 14.39/2.66 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 14.39/2.66 | ((multiply @ X0 @ (inverse @ sk_c8)) != (sk_c8))
% 14.39/2.66 | ((multiply @ identity @ X0) != (sk_c8)))),
% 14.39/2.66 inference('sup-', [status(thm)], [zip_derived_cl348, zip_derived_cl33236])).
% 14.39/2.66 thf(zip_derived_cl0, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_identity])).
% 14.39/2.66 thf(zip_derived_cl33291, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.39/2.66 (((identity) != (X0))
% 14.39/2.66 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 14.39/2.66 | ((inverse @ X1) != (sk_c9))
% 14.39/2.66 | ((inverse @ X2) != (sk_c8))
% 14.39/2.66 | ((multiply @ X2 @ sk_c8) != (inverse @ sk_c8))
% 14.39/2.66 | ((inverse @ X3) != (sk_c9))
% 14.39/2.66 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 14.39/2.66 | ((multiply @ X0 @ (inverse @ sk_c8)) != (sk_c8))
% 14.39/2.66 | ((X0) != (sk_c8)))),
% 14.39/2.66 inference('demod', [status(thm)], [zip_derived_cl33265, zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl33293, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 (((identity) != (sk_c8))
% 14.39/2.66 | ((multiply @ identity @ (inverse @ sk_c8)) != (sk_c8))
% 14.39/2.66 | ((multiply @ X0 @ sk_c9) != (sk_c8))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((multiply @ X1 @ sk_c8) != (inverse @ sk_c8))
% 14.39/2.66 | ((inverse @ X1) != (sk_c8))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((multiply @ X2 @ sk_c8) != (sk_c9)))),
% 14.39/2.66 inference('eq_res', [status(thm)], [zip_derived_cl33291])).
% 14.39/2.66 thf(zip_derived_cl33294, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 (((identity) != (sk_c8))
% 14.39/2.66 | ((multiply @ identity @ (inverse @ identity)) != (identity))
% 14.39/2.66 | ((multiply @ X0 @ sk_c9) != (identity))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((multiply @ X1 @ identity) != (inverse @ identity))
% 14.39/2.66 | ((inverse @ X1) != (identity))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((multiply @ X2 @ identity) != (sk_c9)))),
% 14.39/2.66 inference('local_rewriting', [status(thm)], [zip_derived_cl33293])).
% 14.39/2.66 thf(zip_derived_cl348, plain, (((inverse @ identity) = (identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl0, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_identity])).
% 14.39/2.66 thf(zip_derived_cl467, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 14.39/2.66 thf(zip_derived_cl348, plain, (((inverse @ identity) = (identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl467, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl128])).
% 14.39/2.66 thf(zip_derived_cl33295, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 (((identity) != (sk_c8))
% 14.39/2.66 | ((identity) != (identity))
% 14.39/2.66 | ((multiply @ X0 @ sk_c9) != (identity))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((X1) != (identity))
% 14.39/2.66 | ((inverse @ X1) != (identity))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((X2) != (sk_c9)))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl33294, zip_derived_cl348, zip_derived_cl0,
% 14.39/2.66 zip_derived_cl467, zip_derived_cl348, zip_derived_cl467])).
% 14.39/2.66 thf(zip_derived_cl33296, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 (((X2) != (sk_c9))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((inverse @ X1) != (identity))
% 14.39/2.66 | ((X1) != (identity))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((multiply @ X0 @ sk_c9) != (identity))
% 14.39/2.66 | ((identity) != (sk_c8)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl33295])).
% 14.39/2.66 thf(zip_derived_cl35463, plain, (((sk_c8) = (identity))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl35462])).
% 14.39/2.66 thf(zip_derived_cl35546, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 (((X2) != (sk_c9))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((inverse @ X1) != (identity))
% 14.39/2.66 | ((X1) != (identity))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((multiply @ X0 @ sk_c9) != (identity))
% 14.39/2.66 | ((identity) != (identity)))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl33296, zip_derived_cl35463])).
% 14.39/2.66 thf(zip_derived_cl35547, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.39/2.66 (((multiply @ X0 @ sk_c9) != (identity))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((X1) != (identity))
% 14.39/2.66 | ((inverse @ X1) != (identity))
% 14.39/2.66 | ((inverse @ X2) != (sk_c9))
% 14.39/2.66 | ((X2) != (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl35546])).
% 14.39/2.66 thf(zip_derived_cl35706, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 (((X0) != (sk_c9))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((inverse @ identity) != (identity))
% 14.39/2.66 | ((inverse @ X1) != (sk_c9))
% 14.39/2.66 | ((multiply @ X1 @ sk_c9) != (identity)))),
% 14.39/2.66 inference('eq_res', [status(thm)], [zip_derived_cl35547])).
% 14.39/2.66 thf(zip_derived_cl348, plain, (((inverse @ identity) = (identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl35707, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 (((X0) != (sk_c9))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((identity) != (identity))
% 14.39/2.66 | ((inverse @ X1) != (sk_c9))
% 14.39/2.66 | ((multiply @ X1 @ sk_c9) != (identity)))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35706, zip_derived_cl348])).
% 14.39/2.66 thf(zip_derived_cl35708, plain,
% 14.39/2.66 (![X0 : $i, X1 : $i]:
% 14.39/2.66 (((multiply @ X1 @ sk_c9) != (identity))
% 14.39/2.66 | ((inverse @ X1) != (sk_c9))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((X0) != (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl35707])).
% 14.39/2.66 thf(zip_derived_cl35709, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((inverse @ sk_c9) != (sk_c9))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((multiply @ X0 @ sk_c9) != (identity)))),
% 14.39/2.66 inference('eq_res', [status(thm)], [zip_derived_cl35708])).
% 14.39/2.66 thf(zip_derived_cl5119, plain,
% 14.39/2.66 (((inverse @ sk_c9) = (multiply @ (inverse @ sk_c8) @ sk_c9))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl5065, zip_derived_cl120])).
% 14.39/2.66 thf(zip_derived_cl35463, plain, (((sk_c8) = (identity))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl35462])).
% 14.39/2.66 thf(zip_derived_cl348, plain, (((inverse @ identity) = (identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl0, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 14.39/2.66 inference('cnf', [status(esa)], [left_identity])).
% 14.39/2.66 thf(zip_derived_cl35516, plain, (((inverse @ sk_c9) = (sk_c9))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl5119, zip_derived_cl35463, zip_derived_cl348,
% 14.39/2.66 zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl35710, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((sk_c9) != (sk_c9))
% 14.39/2.66 | ((inverse @ X0) != (sk_c9))
% 14.39/2.66 | ((multiply @ X0 @ sk_c9) != (identity)))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35709, zip_derived_cl35516])).
% 14.39/2.66 thf(zip_derived_cl35711, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((multiply @ X0 @ sk_c9) != (identity)) | ((inverse @ X0) != (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl35710])).
% 14.39/2.66 thf(zip_derived_cl35714, plain,
% 14.39/2.66 ((((sk_c9) != (sk_c9))
% 14.39/2.66 | ((inverse @ sk_c4) = (sk_c9))
% 14.39/2.66 | ((multiply @ sk_c1 @ sk_c9) != (identity)))),
% 14.39/2.66 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl35711])).
% 14.39/2.66 thf(zip_derived_cl35719, plain,
% 14.39/2.66 ((((multiply @ sk_c1 @ sk_c9) != (identity))
% 14.39/2.66 | ((inverse @ sk_c4) = (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl35714])).
% 14.39/2.66 thf(zip_derived_cl10, plain,
% 14.39/2.66 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 14.39/2.66 inference('cnf', [status(esa)], [zf_stmt_13])).
% 14.39/2.66 thf(zip_derived_cl495, plain,
% 14.39/2.66 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl490, zip_derived_cl1])).
% 14.39/2.66 thf(zip_derived_cl684, plain,
% 14.39/2.66 ((((multiply @ sk_c1 @ sk_c9) = (identity))
% 14.39/2.66 | ((inverse @ sk_c4) = (sk_c9)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl495])).
% 14.39/2.66 thf(zip_derived_cl35747, plain, (((inverse @ sk_c4) = (sk_c9))),
% 14.39/2.66 inference('clc', [status(thm)], [zip_derived_cl35719, zip_derived_cl684])).
% 14.39/2.66 thf(zip_derived_cl35516, plain, (((inverse @ sk_c9) = (sk_c9))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl5119, zip_derived_cl35463, zip_derived_cl348,
% 14.39/2.66 zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl35747, plain, (((inverse @ sk_c4) = (sk_c9))),
% 14.39/2.66 inference('clc', [status(thm)], [zip_derived_cl35719, zip_derived_cl684])).
% 14.39/2.66 thf(zip_derived_cl490, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl467, zip_derived_cl131])).
% 14.39/2.66 thf(zip_derived_cl35747, plain, (((inverse @ sk_c4) = (sk_c9))),
% 14.39/2.66 inference('clc', [status(thm)], [zip_derived_cl35719, zip_derived_cl684])).
% 14.39/2.66 thf(zip_derived_cl35758, plain, (((sk_c4) = (inverse @ sk_c4))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35516, zip_derived_cl35747, zip_derived_cl490,
% 14.39/2.66 zip_derived_cl35747])).
% 14.39/2.66 thf(zip_derived_cl35774, plain, (((sk_c4) = (sk_c9))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35747, zip_derived_cl35758])).
% 14.39/2.66 thf(zip_derived_cl35774, plain, (((sk_c4) = (sk_c9))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35747, zip_derived_cl35758])).
% 14.39/2.66 thf(zip_derived_cl35820, plain, (((identity) = (multiply @ sk_c4 @ sk_c4))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35506, zip_derived_cl35774, zip_derived_cl35774])).
% 14.39/2.66 thf(zip_derived_cl490, plain,
% 14.39/2.66 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 14.39/2.66 inference('sup+', [status(thm)], [zip_derived_cl467, zip_derived_cl131])).
% 14.39/2.66 thf(zip_derived_cl35711, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((multiply @ X0 @ sk_c9) != (identity)) | ((inverse @ X0) != (sk_c9)))),
% 14.39/2.66 inference('simplify', [status(thm)], [zip_derived_cl35710])).
% 14.39/2.66 thf(zip_derived_cl35712, plain,
% 14.39/2.66 (![X0 : $i]:
% 14.39/2.66 (((X0) != (sk_c9))
% 14.39/2.66 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity)))),
% 14.39/2.66 inference('sup-', [status(thm)], [zip_derived_cl490, zip_derived_cl35711])).
% 14.39/2.66 thf(zip_derived_cl35723, plain,
% 14.39/2.66 (((multiply @ (inverse @ sk_c9) @ sk_c9) != (identity))),
% 14.39/2.66 inference('eq_res', [status(thm)], [zip_derived_cl35712])).
% 14.39/2.66 thf(zip_derived_cl35516, plain, (((inverse @ sk_c9) = (sk_c9))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl5119, zip_derived_cl35463, zip_derived_cl348,
% 14.39/2.66 zip_derived_cl0])).
% 14.39/2.66 thf(zip_derived_cl35724, plain, (((multiply @ sk_c9 @ sk_c9) != (identity))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35723, zip_derived_cl35516])).
% 14.39/2.66 thf(zip_derived_cl35747, plain, (((inverse @ sk_c4) = (sk_c9))),
% 14.39/2.66 inference('clc', [status(thm)], [zip_derived_cl35719, zip_derived_cl684])).
% 14.39/2.66 thf(zip_derived_cl35747, plain, (((inverse @ sk_c4) = (sk_c9))),
% 14.39/2.66 inference('clc', [status(thm)], [zip_derived_cl35719, zip_derived_cl684])).
% 14.39/2.66 thf(zip_derived_cl35773, plain,
% 14.39/2.66 (((multiply @ (inverse @ sk_c4) @ (inverse @ sk_c4)) != (identity))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35724, zip_derived_cl35747, zip_derived_cl35747])).
% 14.39/2.66 thf(zip_derived_cl35758, plain, (((sk_c4) = (inverse @ sk_c4))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35516, zip_derived_cl35747, zip_derived_cl490,
% 14.39/2.66 zip_derived_cl35747])).
% 14.39/2.66 thf(zip_derived_cl35758, plain, (((sk_c4) = (inverse @ sk_c4))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35516, zip_derived_cl35747, zip_derived_cl490,
% 14.39/2.66 zip_derived_cl35747])).
% 14.39/2.66 thf(zip_derived_cl35779, plain, (((multiply @ sk_c4 @ sk_c4) != (identity))),
% 14.39/2.66 inference('demod', [status(thm)],
% 14.39/2.66 [zip_derived_cl35773, zip_derived_cl35758, zip_derived_cl35758])).
% 14.39/2.66 thf(zip_derived_cl35821, plain, ($false),
% 14.39/2.66 inference('simplify_reflect-', [status(thm)],
% 14.39/2.66 [zip_derived_cl35820, zip_derived_cl35779])).
% 14.39/2.66
% 14.39/2.66 % SZS output end Refutation
% 14.39/2.66
% 14.39/2.66
% 14.39/2.66 % Terminating...
% 14.97/2.77 % Runner terminated.
% 14.97/2.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------