TSTP Solution File: GRP369-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP369-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Q27P1X5C0i true
% Computer : n028.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 01:51:23 EDT 2023
% Result : Unsatisfiable 0.57s 0.89s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP369-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Q27P1X5C0i true
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 02:59:55 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.44/0.62 % Total configuration time : 435
% 0.44/0.62 % Estimated wc time : 1092
% 0.44/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.89 % Solved by fo/fo7.sh.
% 0.57/0.89 % done 244 iterations in 0.106s
% 0.57/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.89 % SZS output start Refutation
% 0.57/0.89 thf(sk_c2_type, type, sk_c2: $i).
% 0.57/0.89 thf(sk_c8_type, type, sk_c8: $i).
% 0.57/0.89 thf(sk_c3_type, type, sk_c3: $i).
% 0.57/0.89 thf(sk_c6_type, type, sk_c6: $i).
% 0.57/0.89 thf(sk_c5_type, type, sk_c5: $i).
% 0.57/0.89 thf(identity_type, type, identity: $i).
% 0.57/0.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.57/0.89 thf(sk_c9_type, type, sk_c9: $i).
% 0.57/0.89 thf(inverse_type, type, inverse: $i > $i).
% 0.57/0.89 thf(sk_c1_type, type, sk_c1: $i).
% 0.57/0.89 thf(sk_c7_type, type, sk_c7: $i).
% 0.57/0.89 thf(prove_this_43, conjecture,
% 0.57/0.89 (~( ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 0.57/0.89 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c7 ) ) |
% 0.57/0.89 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 0.57/0.89 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 0.57/0.89 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.57/0.89 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.57/0.89 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) |
% 0.57/0.89 ( ( inverse @ X6 ) != ( sk_c7 ) ) |
% 0.57/0.89 ( ( multiply @ X6 @ sk_c7 ) != ( sk_c9 ) ) |
% 0.57/0.89 ( ( inverse @ X5 ) != ( sk_c9 ) ) |
% 0.57/0.89 ( ( multiply @ X5 @ sk_c9 ) != ( X4 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c9 @ X4 ) != ( sk_c8 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c7 @ sk_c9 ) != ( sk_c8 ) ) ))).
% 0.57/0.89 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.89 (( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 0.57/0.89 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c7 ) ) |
% 0.57/0.89 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 0.57/0.89 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 0.57/0.89 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.57/0.89 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.57/0.89 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) |
% 0.57/0.89 ( ( inverse @ X6 ) != ( sk_c7 ) ) |
% 0.57/0.89 ( ( multiply @ X6 @ sk_c7 ) != ( sk_c9 ) ) |
% 0.57/0.89 ( ( inverse @ X5 ) != ( sk_c9 ) ) |
% 0.57/0.89 ( ( multiply @ X5 @ sk_c9 ) != ( X4 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c9 @ X4 ) != ( sk_c8 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c7 @ sk_c9 ) != ( sk_c8 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_43])).
% 0.57/0.89 thf(zip_derived_cl45, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.89 (((inverse @ X0) != (sk_c9))
% 0.57/0.89 | ((multiply @ X0 @ sk_c9) != (sk_c7))
% 0.57/0.89 | ((inverse @ X1) != (sk_c8))
% 0.57/0.89 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 0.57/0.89 | ((inverse @ X2) != (sk_c8))
% 0.57/0.89 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 0.57/0.89 | ((inverse @ sk_c8) != (sk_c7))
% 0.57/0.89 | ((inverse @ X3) != (sk_c7))
% 0.57/0.89 | ((multiply @ X3 @ sk_c7) != (sk_c9))
% 0.57/0.89 | ((inverse @ X4) != (sk_c9))
% 0.57/0.89 | ((multiply @ X4 @ sk_c9) != (X5))
% 0.57/0.89 | ((multiply @ sk_c9 @ X5) != (sk_c8))
% 0.57/0.89 | ((multiply @ sk_c7 @ sk_c9) != (sk_c8)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.89 thf(zip_derived_cl46, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.89 (((inverse @ X0) != (sk_c9))
% 0.57/0.89 | ((multiply @ X0 @ sk_c9) != (sk_c7))
% 0.57/0.89 | ((inverse @ X1) != (multiply @ sk_c7 @ sk_c9))
% 0.57/0.89 | ((multiply @ X1 @ (multiply @ sk_c7 @ sk_c9)) != (sk_c9))
% 0.57/0.89 | ((inverse @ X2) != (multiply @ sk_c7 @ sk_c9))
% 0.57/0.89 | ((multiply @ X2 @ (multiply @ sk_c7 @ sk_c9)) != (sk_c7))
% 0.57/0.89 | ((inverse @ (multiply @ sk_c7 @ sk_c9)) != (sk_c7))
% 0.57/0.89 | ((inverse @ X3) != (sk_c7))
% 0.57/0.89 | ((multiply @ X3 @ sk_c7) != (sk_c9))
% 0.57/0.89 | ((inverse @ X4) != (sk_c9))
% 0.57/0.89 | ((multiply @ X4 @ sk_c9) != (X5))
% 0.57/0.89 | ((multiply @ sk_c9 @ X5) != (multiply @ sk_c7 @ sk_c9))
% 0.57/0.89 | ((multiply @ sk_c7 @ sk_c9) != (sk_c8)))),
% 0.57/0.89 inference('local_rewriting', [status(thm)], [zip_derived_cl45])).
% 0.57/0.89 thf(prove_this_40, conjecture,
% 0.57/0.89 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.57/0.89 ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.57/0.89 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.89 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c7 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_40])).
% 0.57/0.89 thf(zip_derived_cl42, plain,
% 0.57/0.89 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c7)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.89 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl57, plain,
% 0.57/0.89 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.57/0.89 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(associativity, axiom,
% 0.57/0.89 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.57/0.89 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.57/0.89 thf(zip_derived_cl2, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.89 thf(zip_derived_cl68, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 ((multiply @ identity @ X0)
% 0.57/0.89 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.57/0.89 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.57/0.89 thf(zip_derived_cl0, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.89 thf(zip_derived_cl102, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 0.57/0.89 thf(zip_derived_cl125, plain,
% 0.57/0.89 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.57/0.89 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl102])).
% 0.57/0.89 thf(prove_this_33, conjecture,
% 0.57/0.89 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c9 ) ) ))).
% 0.57/0.89 thf(zf_stmt_2, negated_conjecture,
% 0.57/0.89 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c9 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 0.57/0.89 thf(zip_derived_cl35, plain,
% 0.57/0.89 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c9)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.89 thf(zip_derived_cl247, plain,
% 0.57/0.89 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.57/0.89 = (sk_c9))
% 0.57/0.89 | ((inverse @ sk_c5) = (sk_c8))
% 0.57/0.89 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl35])).
% 0.57/0.89 thf(zip_derived_cl2, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.89 thf(zip_derived_cl0, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl262, plain,
% 0.57/0.89 ((((identity) = (sk_c9))
% 0.57/0.89 | ((inverse @ sk_c5) = (sk_c8))
% 0.57/0.89 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl247, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.89 zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl263, plain,
% 0.57/0.89 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c9)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl262])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl267, plain,
% 0.57/0.89 ((((multiply @ sk_c8 @ sk_c5) = (identity)) | ((identity) = (sk_c9)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl263, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl102, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 0.57/0.89 thf(zip_derived_cl493, plain,
% 0.57/0.89 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.57/0.89 | ((identity) = (sk_c9)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl102])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl102, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 0.57/0.89 thf(zip_derived_cl120, plain,
% 0.57/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl102])).
% 0.57/0.89 thf(zip_derived_cl102, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 0.57/0.89 thf(zip_derived_cl102, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 0.57/0.89 thf(zip_derived_cl117, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl102])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1014, plain,
% 0.57/0.89 ((((sk_c5) = (inverse @ sk_c8)) | ((identity) = (sk_c9)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl493, zip_derived_cl963])).
% 0.57/0.89 thf(prove_this_39, conjecture,
% 0.57/0.89 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.57/0.89 ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.57/0.89 thf(zf_stmt_3, negated_conjecture,
% 0.57/0.89 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.57/0.89 ( ( inverse @ sk_c3 ) = ( sk_c7 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_39])).
% 0.57/0.89 thf(zip_derived_cl41, plain,
% 0.57/0.89 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c3) = (sk_c7)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.89 thf(zip_derived_cl120, plain,
% 0.57/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl102])).
% 0.57/0.89 thf(zip_derived_cl694, plain,
% 0.57/0.89 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.57/0.89 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl120])).
% 0.57/0.89 thf(prove_this_32, conjecture,
% 0.57/0.89 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c9 ) ) ))).
% 0.57/0.89 thf(zf_stmt_4, negated_conjecture,
% 0.57/0.89 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c9 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 0.57/0.89 thf(zip_derived_cl34, plain,
% 0.57/0.89 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 0.57/0.89 | ((multiply @ sk_c3 @ sk_c7) = (sk_c9)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.89 thf(zip_derived_cl882, plain,
% 0.57/0.89 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.57/0.89 = (sk_c9))
% 0.57/0.89 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 0.57/0.89 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl694, zip_derived_cl34])).
% 0.57/0.89 thf(zip_derived_cl2, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.89 thf(zip_derived_cl0, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl903, plain,
% 0.57/0.89 ((((identity) = (sk_c9))
% 0.57/0.89 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 0.57/0.89 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl882, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.89 zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl904, plain,
% 0.57/0.89 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c9)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl903])).
% 0.57/0.89 thf(zip_derived_cl1085, plain,
% 0.57/0.89 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c9))
% 0.57/0.89 | ((identity) = (sk_c9))
% 0.57/0.89 | ((identity) = (sk_c9)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl1014, zip_derived_cl904])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl1091, plain,
% 0.57/0.89 ((((identity) = (sk_c9))
% 0.57/0.89 | ((identity) = (sk_c9))
% 0.57/0.89 | ((identity) = (sk_c9)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl1085, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl0, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1131, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.89 (((inverse @ X0) != (identity))
% 0.57/0.89 | ((X0) != (sk_c7))
% 0.57/0.89 | ((inverse @ X1) != (sk_c7))
% 0.57/0.89 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/0.89 | ((inverse @ X2) != (sk_c7))
% 0.57/0.89 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 0.57/0.89 | ((inverse @ sk_c7) != (sk_c7))
% 0.57/0.89 | ((inverse @ X3) != (sk_c7))
% 0.57/0.89 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.57/0.89 | ((inverse @ X4) != (identity))
% 0.57/0.89 | ((X4) != (X5))
% 0.57/0.89 | ((X5) != (sk_c7))
% 0.57/0.89 | ((sk_c7) != (sk_c8)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl46, zip_derived_cl1092, zip_derived_cl1092,
% 0.57/0.89 zip_derived_cl963, zip_derived_cl1092, zip_derived_cl963,
% 0.57/0.89 zip_derived_cl1092, zip_derived_cl963, zip_derived_cl1092,
% 0.57/0.89 zip_derived_cl1092, zip_derived_cl963, zip_derived_cl1092,
% 0.57/0.89 zip_derived_cl963, zip_derived_cl1092, zip_derived_cl963,
% 0.57/0.89 zip_derived_cl1092, zip_derived_cl1092, zip_derived_cl1092,
% 0.57/0.89 zip_derived_cl963, zip_derived_cl1092, zip_derived_cl0,
% 0.57/0.89 zip_derived_cl1092, zip_derived_cl963, zip_derived_cl1092,
% 0.57/0.89 zip_derived_cl963])).
% 0.57/0.89 thf(zip_derived_cl1172, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.89 (((sk_c7) != (sk_c8))
% 0.57/0.89 | ((X0) != (sk_c7))
% 0.57/0.89 | ((inverse @ X0) != (identity))
% 0.57/0.89 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (sk_c7))
% 0.57/0.89 | ((inverse @ sk_c7) != (sk_c7))
% 0.57/0.89 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 0.57/0.89 | ((inverse @ X2) != (sk_c7))
% 0.57/0.89 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.57/0.89 | ((inverse @ X3) != (sk_c7))
% 0.57/0.89 | ((X4) != (sk_c7))
% 0.57/0.89 | ((inverse @ X4) != (identity)))),
% 0.57/0.89 inference('eq_res', [status(thm)], [zip_derived_cl1131])).
% 0.57/0.89 thf(prove_this_28, conjecture,
% 0.57/0.89 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 0.57/0.89 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 0.57/0.89 thf(zf_stmt_5, negated_conjecture,
% 0.57/0.89 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 0.57/0.89 thf(zip_derived_cl30, plain,
% 0.57/0.89 ((((inverse @ sk_c6) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl54, plain,
% 0.57/0.89 ((((multiply @ sk_c9 @ sk_c1) = (identity))
% 0.57/0.89 | ((inverse @ sk_c6) = (sk_c9)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl102, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 0.57/0.89 thf(zip_derived_cl138, plain,
% 0.57/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.57/0.89 | ((inverse @ sk_c6) = (sk_c9)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl102])).
% 0.57/0.89 thf(prove_this_21, conjecture,
% 0.57/0.89 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c2 ) ) ))).
% 0.57/0.89 thf(zf_stmt_6, negated_conjecture,
% 0.57/0.89 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c2 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.57/0.89 thf(zip_derived_cl23, plain,
% 0.57/0.89 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c2)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.89 thf(zip_derived_cl520, plain,
% 0.57/0.89 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 0.57/0.89 = (sk_c2))
% 0.57/0.89 | ((inverse @ sk_c6) = (sk_c9))
% 0.57/0.89 | ((inverse @ sk_c6) = (sk_c9)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl138, zip_derived_cl23])).
% 0.57/0.89 thf(zip_derived_cl2, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.89 thf(zip_derived_cl0, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl537, plain,
% 0.57/0.89 ((((identity) = (sk_c2))
% 0.57/0.89 | ((inverse @ sk_c6) = (sk_c9))
% 0.57/0.89 | ((inverse @ sk_c6) = (sk_c9)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl520, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.89 zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl538, plain,
% 0.57/0.89 ((((inverse @ sk_c6) = (sk_c9)) | ((identity) = (sk_c2)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl537])).
% 0.57/0.89 thf(prove_this_14, conjecture,
% 0.57/0.89 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c9 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.57/0.89 thf(zf_stmt_7, negated_conjecture,
% 0.57/0.89 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c9 @ sk_c2 ) = ( sk_c8 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.57/0.89 thf(zip_derived_cl16, plain,
% 0.57/0.89 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c9 @ sk_c2) = (sk_c8)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/0.89 thf(zip_derived_cl547, plain,
% 0.57/0.89 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 0.57/0.89 | ((inverse @ sk_c6) = (sk_c9))
% 0.57/0.89 | ((inverse @ sk_c6) = (sk_c9)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl538, zip_derived_cl16])).
% 0.57/0.89 thf(zip_derived_cl552, plain,
% 0.57/0.89 ((((inverse @ sk_c6) = (sk_c9))
% 0.57/0.89 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl547])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1016, plain,
% 0.57/0.89 ((((inverse @ sk_c6) = (sk_c9)) | ((sk_c9) = (sk_c8)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl552, zip_derived_cl963])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl1200, plain,
% 0.57/0.89 ((((inverse @ sk_c6) = (identity)) | ((identity) = (sk_c8)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl1016, zip_derived_cl1092, zip_derived_cl1092])).
% 0.57/0.89 thf(zip_derived_cl120, plain,
% 0.57/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl102])).
% 0.57/0.89 thf(zip_derived_cl1202, plain,
% 0.57/0.89 ((((sk_c6) = (multiply @ (inverse @ identity) @ identity))
% 0.57/0.89 | ((identity) = (sk_c8)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl1200, zip_derived_cl120])).
% 0.57/0.89 thf(zip_derived_cl0, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.89 thf(zip_derived_cl102, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 0.57/0.89 thf(zip_derived_cl119, plain,
% 0.57/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl102])).
% 0.57/0.89 thf(zip_derived_cl102, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 0.57/0.89 thf(zip_derived_cl174, plain,
% 0.57/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl102])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl785, plain, (((inverse @ identity) = (identity))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl0, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.89 thf(zip_derived_cl1210, plain,
% 0.57/0.89 ((((sk_c6) = (identity)) | ((identity) = (sk_c8)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl1202, zip_derived_cl785, zip_derived_cl0])).
% 0.57/0.89 thf(prove_this_27, conjecture,
% 0.57/0.89 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.57/0.89 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 0.57/0.89 thf(zf_stmt_8, negated_conjecture,
% 0.57/0.89 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.57/0.89 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 0.57/0.89 thf(zip_derived_cl29, plain,
% 0.57/0.89 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c9)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl61, plain,
% 0.57/0.89 ((((multiply @ sk_c9 @ sk_c1) = (identity))
% 0.57/0.89 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl0, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1143, plain,
% 0.57/0.89 ((((sk_c1) = (identity)) | ((sk_c6) = (sk_c7)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl61, zip_derived_cl1092, zip_derived_cl0,
% 0.57/0.89 zip_derived_cl1092, zip_derived_cl963])).
% 0.57/0.89 thf(prove_this_20, conjecture,
% 0.57/0.89 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c2 ) ) ))).
% 0.57/0.89 thf(zf_stmt_9, negated_conjecture,
% 0.57/0.89 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c2 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.57/0.89 thf(zip_derived_cl22, plain,
% 0.57/0.89 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 0.57/0.89 | ((multiply @ sk_c1 @ sk_c9) = (sk_c2)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1112, plain, ((((sk_c6) = (sk_c7)) | ((sk_c1) = (sk_c2)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl22, zip_derived_cl1092, zip_derived_cl963,
% 0.57/0.89 zip_derived_cl1092, zip_derived_cl963])).
% 0.57/0.89 thf(zip_derived_cl1187, plain,
% 0.57/0.89 ((((identity) = (sk_c2)) | ((sk_c6) = (sk_c7)) | ((sk_c6) = (sk_c7)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl1143, zip_derived_cl1112])).
% 0.57/0.89 thf(zip_derived_cl1188, plain,
% 0.57/0.89 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c2)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1187])).
% 0.57/0.89 thf(prove_this_13, conjecture,
% 0.57/0.89 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c9 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.57/0.89 thf(zf_stmt_10, negated_conjecture,
% 0.57/0.89 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c9 @ sk_c2 ) = ( sk_c8 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.57/0.89 thf(zip_derived_cl15, plain,
% 0.57/0.89 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 0.57/0.89 | ((multiply @ sk_c9 @ sk_c2) = (sk_c8)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl0, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.89 thf(zip_derived_cl1105, plain, ((((sk_c6) = (sk_c7)) | ((sk_c2) = (sk_c8)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl15, zip_derived_cl1092, zip_derived_cl963,
% 0.57/0.89 zip_derived_cl1092, zip_derived_cl0])).
% 0.57/0.89 thf(zip_derived_cl1194, plain,
% 0.57/0.89 ((((identity) = (sk_c8)) | ((sk_c6) = (sk_c7)) | ((sk_c6) = (sk_c7)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl1188, zip_derived_cl1105])).
% 0.57/0.89 thf(zip_derived_cl1195, plain,
% 0.57/0.89 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c8)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1194])).
% 0.57/0.89 thf(zip_derived_cl1214, plain,
% 0.57/0.89 ((((identity) = (sk_c7))
% 0.57/0.89 | ((identity) = (sk_c8))
% 0.57/0.89 | ((identity) = (sk_c8)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl1210, zip_derived_cl1195])).
% 0.57/0.89 thf(zip_derived_cl1217, plain,
% 0.57/0.89 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1214])).
% 0.57/0.89 thf(prove_this_7, conjecture,
% 0.57/0.89 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c7 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 0.57/0.89 thf(zf_stmt_11, negated_conjecture,
% 0.57/0.89 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c7 @ sk_c9 ) = ( sk_c8 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.57/0.89 thf(zip_derived_cl9, plain,
% 0.57/0.89 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c7 @ sk_c9) = (sk_c8)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl50, plain,
% 0.57/0.89 ((((multiply @ sk_c9 @ sk_c6) = (identity))
% 0.57/0.89 | ((multiply @ sk_c7 @ sk_c9) = (sk_c8)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl102, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 0.57/0.89 thf(zip_derived_cl127, plain,
% 0.57/0.89 ((((sk_c6) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.57/0.89 | ((multiply @ sk_c7 @ sk_c9) = (sk_c8)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl102])).
% 0.57/0.89 thf(prove_this_6, conjecture,
% 0.57/0.89 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c7 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 0.57/0.89 thf(zf_stmt_12, negated_conjecture,
% 0.57/0.89 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c7 @ sk_c9 ) = ( sk_c8 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.57/0.89 thf(zip_derived_cl8, plain,
% 0.57/0.89 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 0.57/0.89 | ((multiply @ sk_c7 @ sk_c9) = (sk_c8)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.57/0.89 thf(zip_derived_cl353, plain,
% 0.57/0.89 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 0.57/0.89 = (sk_c7))
% 0.57/0.89 | ((multiply @ sk_c7 @ sk_c9) = (sk_c8))
% 0.57/0.89 | ((multiply @ sk_c7 @ sk_c9) = (sk_c8)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl8])).
% 0.57/0.89 thf(zip_derived_cl2, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.89 thf(zip_derived_cl0, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl357, plain,
% 0.57/0.89 ((((identity) = (sk_c7))
% 0.57/0.89 | ((multiply @ sk_c7 @ sk_c9) = (sk_c8))
% 0.57/0.89 | ((multiply @ sk_c7 @ sk_c9) = (sk_c8)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl353, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.89 zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl358, plain,
% 0.57/0.89 ((((multiply @ sk_c7 @ sk_c9) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl357])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1153, plain,
% 0.57/0.89 ((((sk_c7) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl358, zip_derived_cl1092, zip_derived_cl963])).
% 0.57/0.89 thf(zip_derived_cl1229, plain,
% 0.57/0.89 ((((sk_c7) = (identity))
% 0.57/0.89 | ((identity) = (sk_c7))
% 0.57/0.89 | ((identity) = (sk_c7)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl1217, zip_derived_cl1153])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl785, plain, (((inverse @ identity) = (identity))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl1258, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.89 (((identity) != (sk_c8))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((inverse @ X0) != (identity))
% 0.57/0.89 | ((X1) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((identity) != (identity))
% 0.57/0.89 | ((X2) != (identity))
% 0.57/0.89 | ((inverse @ X2) != (identity))
% 0.57/0.89 | ((X3) != (identity))
% 0.57/0.89 | ((inverse @ X3) != (identity))
% 0.57/0.89 | ((X4) != (identity))
% 0.57/0.89 | ((inverse @ X4) != (identity)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl1172, zip_derived_cl1233, zip_derived_cl1233,
% 0.57/0.89 zip_derived_cl1233, zip_derived_cl963, zip_derived_cl1233,
% 0.57/0.89 zip_derived_cl1233, zip_derived_cl785, zip_derived_cl1233,
% 0.57/0.89 zip_derived_cl1233, zip_derived_cl963, zip_derived_cl1233,
% 0.57/0.89 zip_derived_cl1233, zip_derived_cl1233, zip_derived_cl963,
% 0.57/0.89 zip_derived_cl1233, zip_derived_cl1233])).
% 0.57/0.89 thf(zip_derived_cl1259, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.89 (((inverse @ X4) != (identity))
% 0.57/0.89 | ((X4) != (identity))
% 0.57/0.89 | ((inverse @ X3) != (identity))
% 0.57/0.89 | ((X3) != (identity))
% 0.57/0.89 | ((inverse @ X2) != (identity))
% 0.57/0.89 | ((X2) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((X1) != (identity))
% 0.57/0.89 | ((inverse @ X0) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((identity) != (sk_c8)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1258])).
% 0.57/0.89 thf(prove_this_1, conjecture,
% 0.57/0.89 (~( ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c7 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 0.57/0.89 thf(zf_stmt_13, negated_conjecture,
% 0.57/0.89 (( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 0.57/0.89 ( ( multiply @ sk_c7 @ sk_c9 ) = ( sk_c8 ) )),
% 0.57/0.89 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.57/0.89 thf(zip_derived_cl3, plain,
% 0.57/0.89 ((((inverse @ sk_c8) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c9) = (sk_c8)))),
% 0.57/0.89 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.57/0.89 thf(zip_derived_cl1, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.89 thf(zip_derived_cl47, plain,
% 0.57/0.89 ((((multiply @ sk_c7 @ sk_c8) = (identity))
% 0.57/0.89 | ((multiply @ sk_c7 @ sk_c9) = (sk_c8)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl102, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl0])).
% 0.57/0.89 thf(zip_derived_cl122, plain,
% 0.57/0.89 ((((sk_c8) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.57/0.89 | ((multiply @ sk_c7 @ sk_c9) = (sk_c8)))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl102])).
% 0.57/0.89 thf(zip_derived_cl183, plain,
% 0.57/0.89 ((((multiply @ sk_c7 @ sk_c9)
% 0.57/0.89 != (multiply @ (inverse @ sk_c7) @ identity))
% 0.57/0.89 | ((sk_c8) = (multiply @ (inverse @ sk_c7) @ identity)))),
% 0.57/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl122])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1005, plain,
% 0.57/0.89 ((((multiply @ sk_c7 @ sk_c9) != (inverse @ sk_c7))
% 0.57/0.89 | ((sk_c8) = (inverse @ sk_c7)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl183, zip_derived_cl963, zip_derived_cl963])).
% 0.57/0.89 thf(zip_derived_cl1092, plain, (((identity) = (sk_c9))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1091])).
% 0.57/0.89 thf(zip_derived_cl963, plain,
% 0.57/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 0.57/0.89 thf(zip_derived_cl1155, plain,
% 0.57/0.89 ((((sk_c7) != (inverse @ sk_c7)) | ((sk_c8) = (inverse @ sk_c7)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl1005, zip_derived_cl1092, zip_derived_cl963])).
% 0.57/0.89 thf(zip_derived_cl1156, plain,
% 0.57/0.89 ((((sk_c7) != (inverse @ sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.57/0.89 inference('local_rewriting', [status(thm)], [zip_derived_cl1155])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl785, plain, (((inverse @ identity) = (identity))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl1233, plain, (((sk_c7) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1229])).
% 0.57/0.89 thf(zip_derived_cl1254, plain,
% 0.57/0.89 ((((identity) != (identity)) | ((sk_c8) = (identity)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl1156, zip_derived_cl1233, zip_derived_cl1233,
% 0.57/0.89 zip_derived_cl785, zip_derived_cl1233])).
% 0.57/0.89 thf(zip_derived_cl1255, plain, (((sk_c8) = (identity))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1254])).
% 0.57/0.89 thf(zip_derived_cl1272, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.89 (((inverse @ X4) != (identity))
% 0.57/0.89 | ((X4) != (identity))
% 0.57/0.89 | ((inverse @ X3) != (identity))
% 0.57/0.89 | ((X3) != (identity))
% 0.57/0.89 | ((inverse @ X2) != (identity))
% 0.57/0.89 | ((X2) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((X1) != (identity))
% 0.57/0.89 | ((inverse @ X0) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((identity) != (identity)))),
% 0.57/0.89 inference('demod', [status(thm)],
% 0.57/0.89 [zip_derived_cl1259, zip_derived_cl1255])).
% 0.57/0.89 thf(zip_derived_cl1273, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.89 (((X0) != (identity))
% 0.57/0.89 | ((inverse @ X0) != (identity))
% 0.57/0.89 | ((X1) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((X2) != (identity))
% 0.57/0.89 | ((inverse @ X2) != (identity))
% 0.57/0.89 | ((X3) != (identity))
% 0.57/0.89 | ((inverse @ X3) != (identity))
% 0.57/0.89 | ((X4) != (identity))
% 0.57/0.89 | ((inverse @ X4) != (identity)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1272])).
% 0.57/0.89 thf(zip_derived_cl1312, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.89 (((inverse @ X0) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((X1) != (identity))
% 0.57/0.89 | ((inverse @ X2) != (identity))
% 0.57/0.89 | ((X2) != (identity))
% 0.57/0.89 | ((inverse @ X3) != (identity))
% 0.57/0.89 | ((X3) != (identity))
% 0.57/0.89 | ((inverse @ identity) != (identity)))),
% 0.57/0.89 inference('eq_res', [status(thm)], [zip_derived_cl1273])).
% 0.57/0.89 thf(zip_derived_cl785, plain, (((inverse @ identity) = (identity))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl1313, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.89 (((inverse @ X0) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((X1) != (identity))
% 0.57/0.89 | ((inverse @ X2) != (identity))
% 0.57/0.89 | ((X2) != (identity))
% 0.57/0.89 | ((inverse @ X3) != (identity))
% 0.57/0.89 | ((X3) != (identity))
% 0.57/0.89 | ((identity) != (identity)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl1312, zip_derived_cl785])).
% 0.57/0.89 thf(zip_derived_cl1314, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.89 (((X3) != (identity))
% 0.57/0.89 | ((inverse @ X3) != (identity))
% 0.57/0.89 | ((X2) != (identity))
% 0.57/0.89 | ((inverse @ X2) != (identity))
% 0.57/0.89 | ((X1) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((inverse @ X0) != (identity)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1313])).
% 0.57/0.89 thf(zip_derived_cl1315, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.89 (((inverse @ X0) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((X1) != (identity))
% 0.57/0.89 | ((inverse @ X2) != (identity))
% 0.57/0.89 | ((X2) != (identity))
% 0.57/0.89 | ((inverse @ identity) != (identity)))),
% 0.57/0.89 inference('eq_res', [status(thm)], [zip_derived_cl1314])).
% 0.57/0.89 thf(zip_derived_cl785, plain, (((inverse @ identity) = (identity))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl1316, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.89 (((inverse @ X0) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((X1) != (identity))
% 0.57/0.89 | ((inverse @ X2) != (identity))
% 0.57/0.89 | ((X2) != (identity))
% 0.57/0.89 | ((identity) != (identity)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl1315, zip_derived_cl785])).
% 0.57/0.89 thf(zip_derived_cl1317, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.89 (((X2) != (identity))
% 0.57/0.89 | ((inverse @ X2) != (identity))
% 0.57/0.89 | ((X1) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((inverse @ X0) != (identity)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1316])).
% 0.57/0.89 thf(zip_derived_cl1318, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 (((inverse @ X0) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((X1) != (identity))
% 0.57/0.89 | ((inverse @ identity) != (identity)))),
% 0.57/0.89 inference('eq_res', [status(thm)], [zip_derived_cl1317])).
% 0.57/0.89 thf(zip_derived_cl785, plain, (((inverse @ identity) = (identity))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl1319, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 (((inverse @ X0) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((X1) != (identity))
% 0.57/0.89 | ((identity) != (identity)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl1318, zip_derived_cl785])).
% 0.57/0.89 thf(zip_derived_cl1320, plain,
% 0.57/0.89 (![X0 : $i, X1 : $i]:
% 0.57/0.89 (((X1) != (identity))
% 0.57/0.89 | ((inverse @ X1) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((inverse @ X0) != (identity)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1319])).
% 0.57/0.89 thf(zip_derived_cl1321, plain,
% 0.57/0.89 (![X0 : $i]:
% 0.57/0.89 (((inverse @ X0) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((inverse @ identity) != (identity)))),
% 0.57/0.89 inference('eq_res', [status(thm)], [zip_derived_cl1320])).
% 0.57/0.89 thf(zip_derived_cl785, plain, (((inverse @ identity) = (identity))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl1322, plain,
% 0.57/0.89 (![X0 : $i]:
% 0.57/0.89 (((inverse @ X0) != (identity))
% 0.57/0.89 | ((X0) != (identity))
% 0.57/0.89 | ((identity) != (identity)))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl1321, zip_derived_cl785])).
% 0.57/0.89 thf(zip_derived_cl1323, plain,
% 0.57/0.89 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1322])).
% 0.57/0.89 thf(zip_derived_cl1324, plain, (((inverse @ identity) != (identity))),
% 0.57/0.89 inference('eq_res', [status(thm)], [zip_derived_cl1323])).
% 0.57/0.89 thf(zip_derived_cl785, plain, (((inverse @ identity) = (identity))),
% 0.57/0.89 inference('sup+', [status(thm)], [zip_derived_cl174, zip_derived_cl1])).
% 0.57/0.89 thf(zip_derived_cl1325, plain, (((identity) != (identity))),
% 0.57/0.89 inference('demod', [status(thm)], [zip_derived_cl1324, zip_derived_cl785])).
% 0.57/0.89 thf(zip_derived_cl1326, plain, ($false),
% 0.57/0.89 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 0.57/0.89
% 0.57/0.89 % SZS output end Refutation
% 0.57/0.89
% 0.57/0.89
% 0.57/0.89 % Terminating...
% 0.58/0.97 % Runner terminated.
% 0.58/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------