TSTP Solution File: GRP227-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP227-1 : 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.pKMSfn75zZ true
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:50:48 EDT 2023
% Result : Unsatisfiable 1.95s 0.90s
% Output : Refutation 1.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP227-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pKMSfn75zZ true
% 0.17/0.35 % Computer : n019.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue Aug 29 01:11:43 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.95/0.90 % Solved by fo/fo7.sh.
% 1.95/0.90 % done 360 iterations in 0.116s
% 1.95/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.95/0.90 % SZS output start Refutation
% 1.95/0.90 thf(sk_c3_type, type, sk_c3: $i).
% 1.95/0.90 thf(sk_c7_type, type, sk_c7: $i).
% 1.95/0.90 thf(identity_type, type, identity: $i).
% 1.95/0.90 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.95/0.90 thf(sk_c8_type, type, sk_c8: $i).
% 1.95/0.90 thf(inverse_type, type, inverse: $i > $i).
% 1.95/0.90 thf(sk_c4_type, type, sk_c4: $i).
% 1.95/0.90 thf(sk_c2_type, type, sk_c2: $i).
% 1.95/0.90 thf(sk_c1_type, type, sk_c1: $i).
% 1.95/0.90 thf(prove_this_31, conjecture,
% 1.95/0.90 (~( ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ X3 ) != ( X2 ) ) |
% 1.95/0.90 ( ( multiply @ X3 @ X2 ) != ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.95/0.90 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 1.95/0.90 ( ( multiply @ X6 @ sk_c8 ) != ( X5 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c8 @ X5 ) != ( sk_c7 ) ) |
% 1.95/0.90 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.95/0.90 ( ( inverse @ X4 ) != ( sk_c8 ) ) ))).
% 1.95/0.90 thf(zf_stmt_0, negated_conjecture,
% 1.95/0.90 (( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ X3 ) != ( X2 ) ) |
% 1.95/0.90 ( ( multiply @ X3 @ X2 ) != ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.95/0.90 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 1.95/0.90 ( ( multiply @ X6 @ sk_c8 ) != ( X5 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c8 @ X5 ) != ( sk_c7 ) ) |
% 1.95/0.90 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.95/0.90 ( ( inverse @ X4 ) != ( sk_c8 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.95/0.90 thf(zip_derived_cl33, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.95/0.90 (((multiply @ X0 @ sk_c8) != (sk_c7))
% 1.95/0.90 | ((inverse @ X1) != (X0))
% 1.95/0.90 | ((multiply @ X1 @ X0) != (sk_c7))
% 1.95/0.90 | ((inverse @ X2) != (sk_c8))
% 1.95/0.90 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 1.95/0.90 | ((inverse @ sk_c8) != (sk_c7))
% 1.95/0.90 | ((inverse @ X3) != (sk_c8))
% 1.95/0.90 | ((multiply @ X3 @ sk_c8) != (X4))
% 1.95/0.90 | ((multiply @ sk_c8 @ X4) != (sk_c7))
% 1.95/0.90 | ((multiply @ X5 @ sk_c7) != (sk_c8))
% 1.95/0.90 | ((inverse @ X5) != (sk_c8)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.95/0.90 thf(zip_derived_cl34, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.95/0.90 (((multiply @ X0 @ sk_c8) != (inverse @ sk_c8))
% 1.95/0.90 | ((inverse @ X1) != (X0))
% 1.95/0.90 | ((multiply @ X1 @ X0) != (inverse @ sk_c8))
% 1.95/0.90 | ((inverse @ X2) != (sk_c8))
% 1.95/0.90 | ((multiply @ X2 @ sk_c8) != (inverse @ sk_c8))
% 1.95/0.90 | ((inverse @ sk_c8) != (sk_c7))
% 1.95/0.90 | ((inverse @ X3) != (sk_c8))
% 1.95/0.90 | ((multiply @ X3 @ sk_c8) != (X4))
% 1.95/0.90 | ((multiply @ sk_c8 @ X4) != (inverse @ sk_c8))
% 1.95/0.90 | ((multiply @ X5 @ (inverse @ sk_c8)) != (sk_c8))
% 1.95/0.90 | ((inverse @ X5) != (sk_c8)))),
% 1.95/0.90 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 1.95/0.90 thf(prove_this_3, conjecture,
% 1.95/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.95/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.95/0.90 thf(zf_stmt_1, negated_conjecture,
% 1.95/0.90 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.95/0.90 thf(zip_derived_cl5, plain,
% 1.95/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.95/0.90 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl37, plain,
% 1.95/0.90 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 1.95/0.90 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(associativity, axiom,
% 1.95/0.90 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.95/0.90 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.95/0.90 thf(zip_derived_cl2, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.95/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.95/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.95/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.95/0.90 thf(zip_derived_cl55, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 ((multiply @ identity @ X0)
% 1.95/0.90 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.95/0.90 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.95/0.90 thf(zip_derived_cl0, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.95/0.90 thf(zip_derived_cl72, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 1.95/0.90 thf(zip_derived_cl85, plain,
% 1.95/0.90 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.95/0.90 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl72])).
% 1.95/0.90 thf(prove_this_2, conjecture,
% 1.95/0.90 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.95/0.90 thf(zf_stmt_2, negated_conjecture,
% 1.95/0.90 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.95/0.90 thf(zip_derived_cl4, plain,
% 1.95/0.90 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.95/0.90 thf(zip_derived_cl115, plain,
% 1.95/0.90 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.95/0.90 = (sk_c7))
% 1.95/0.90 | ((inverse @ sk_c1) = (sk_c8))
% 1.95/0.90 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl4])).
% 1.95/0.90 thf(zip_derived_cl2, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.95/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.95/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.95/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.95/0.90 thf(zip_derived_cl0, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl120, plain,
% 1.95/0.90 ((((identity) = (sk_c7))
% 1.95/0.90 | ((inverse @ sk_c1) = (sk_c8))
% 1.95/0.90 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.95/0.90 inference('demod', [status(thm)],
% 1.95/0.90 [zip_derived_cl115, zip_derived_cl2, zip_derived_cl0,
% 1.95/0.90 zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl121, plain,
% 1.95/0.90 ((((inverse @ sk_c1) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl120])).
% 1.95/0.90 thf(prove_this_1, conjecture,
% 1.95/0.90 (~( ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.95/0.90 thf(zf_stmt_3, negated_conjecture,
% 1.95/0.90 (( ( inverse @ sk_c8 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.95/0.90 thf(zip_derived_cl3, plain,
% 1.95/0.90 ((((inverse @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.95/0.90 thf(zip_derived_cl125, plain,
% 1.95/0.90 ((((inverse @ sk_c8) = (identity))
% 1.95/0.90 | ((inverse @ sk_c1) = (sk_c8))
% 1.95/0.90 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl3])).
% 1.95/0.90 thf(zip_derived_cl129, plain,
% 1.95/0.90 ((((inverse @ sk_c1) = (sk_c8)) | ((inverse @ sk_c8) = (identity)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl125])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl131, plain,
% 1.95/0.90 ((((multiply @ identity @ sk_c8) = (identity))
% 1.95/0.90 | ((inverse @ sk_c1) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl129, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl0, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.95/0.90 thf(zip_derived_cl138, plain,
% 1.95/0.90 ((((identity) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.95/0.90 thf(prove_this_25, conjecture,
% 1.95/0.90 (~( ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.95/0.90 thf(zf_stmt_4, negated_conjecture,
% 1.95/0.90 (( ( inverse @ sk_c8 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.95/0.90 thf(zip_derived_cl27, plain,
% 1.95/0.90 ((((inverse @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl38, plain,
% 1.95/0.90 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 1.95/0.90 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl72, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 1.95/0.90 thf(zip_derived_cl89, plain,
% 1.95/0.90 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.95/0.90 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl72])).
% 1.95/0.90 thf(prove_this_19, conjecture,
% 1.95/0.90 (~( ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 1.95/0.90 thf(zf_stmt_5, negated_conjecture,
% 1.95/0.90 (( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.95/0.90 thf(zip_derived_cl21, plain,
% 1.95/0.90 ((((inverse @ sk_c8) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.95/0.90 thf(zip_derived_cl196, plain,
% 1.95/0.90 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.95/0.90 = (sk_c3))
% 1.95/0.90 | ((inverse @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl21])).
% 1.95/0.90 thf(zip_derived_cl2, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.95/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.95/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.95/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.95/0.90 thf(zip_derived_cl0, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl208, plain,
% 1.95/0.90 ((((identity) = (sk_c3))
% 1.95/0.90 | ((inverse @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('demod', [status(thm)],
% 1.95/0.90 [zip_derived_cl196, zip_derived_cl2, zip_derived_cl0,
% 1.95/0.90 zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl209, plain,
% 1.95/0.90 ((((inverse @ sk_c8) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl208])).
% 1.95/0.90 thf(prove_this_13, conjecture,
% 1.95/0.90 (~( ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 1.95/0.90 thf(zf_stmt_6, negated_conjecture,
% 1.95/0.90 (( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.95/0.90 thf(zip_derived_cl15, plain,
% 1.95/0.90 ((((inverse @ sk_c8) = (sk_c7)) | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.95/0.90 thf(zip_derived_cl214, plain,
% 1.95/0.90 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.95/0.90 | ((inverse @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl15])).
% 1.95/0.90 thf(zip_derived_cl219, plain,
% 1.95/0.90 ((((inverse @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl214])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl72, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 1.95/0.90 thf(zip_derived_cl82, plain,
% 1.95/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl72])).
% 1.95/0.90 thf(zip_derived_cl72, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 1.95/0.90 thf(zip_derived_cl72, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 1.95/0.90 thf(zip_derived_cl79, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl72])).
% 1.95/0.90 thf(zip_derived_cl559, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl79])).
% 1.95/0.90 thf(zip_derived_cl581, plain,
% 1.95/0.90 ((((inverse @ sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl219, zip_derived_cl559])).
% 1.95/0.90 thf(prove_this_27, conjecture,
% 1.95/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.95/0.90 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.95/0.90 thf(zf_stmt_7, negated_conjecture,
% 1.95/0.90 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.95/0.90 thf(zip_derived_cl29, plain,
% 1.95/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl40, plain,
% 1.95/0.90 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 1.95/0.90 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl72, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 1.95/0.90 thf(zip_derived_cl91, plain,
% 1.95/0.90 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.95/0.90 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl72])).
% 1.95/0.90 thf(prove_this_21, conjecture,
% 1.95/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 1.95/0.90 thf(zf_stmt_8, negated_conjecture,
% 1.95/0.90 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.95/0.90 thf(zip_derived_cl23, plain,
% 1.95/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.95/0.90 thf(zip_derived_cl295, plain,
% 1.95/0.90 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.95/0.90 = (sk_c3))
% 1.95/0.90 | ((inverse @ sk_c4) = (sk_c8))
% 1.95/0.90 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl23])).
% 1.95/0.90 thf(zip_derived_cl2, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.95/0.90 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.95/0.90 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.95/0.90 inference('cnf', [status(esa)], [associativity])).
% 1.95/0.90 thf(zip_derived_cl0, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl307, plain,
% 1.95/0.90 ((((identity) = (sk_c3))
% 1.95/0.90 | ((inverse @ sk_c4) = (sk_c8))
% 1.95/0.90 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.95/0.90 inference('demod', [status(thm)],
% 1.95/0.90 [zip_derived_cl295, zip_derived_cl2, zip_derived_cl0,
% 1.95/0.90 zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl308, plain,
% 1.95/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c3)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl307])).
% 1.95/0.90 thf(prove_this_15, conjecture,
% 1.95/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 1.95/0.90 thf(zf_stmt_9, negated_conjecture,
% 1.95/0.90 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.95/0.90 thf(zip_derived_cl17, plain,
% 1.95/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.95/0.90 thf(zip_derived_cl314, plain,
% 1.95/0.90 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.95/0.90 | ((inverse @ sk_c4) = (sk_c8))
% 1.95/0.90 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl308, zip_derived_cl17])).
% 1.95/0.90 thf(zip_derived_cl321, plain,
% 1.95/0.90 ((((inverse @ sk_c4) = (sk_c8))
% 1.95/0.90 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl314])).
% 1.95/0.90 thf(zip_derived_cl559, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl79])).
% 1.95/0.90 thf(zip_derived_cl586, plain,
% 1.95/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl321, zip_derived_cl559])).
% 1.95/0.90 thf(prove_this_26, conjecture,
% 1.95/0.90 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.95/0.90 thf(zf_stmt_10, negated_conjecture,
% 1.95/0.90 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.95/0.90 thf(zip_derived_cl28, plain,
% 1.95/0.90 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.95/0.90 thf(zip_derived_cl559, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl79])).
% 1.95/0.90 thf(zip_derived_cl82, plain,
% 1.95/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl72])).
% 1.95/0.90 thf(zip_derived_cl594, plain,
% 1.95/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl559, zip_derived_cl82])).
% 1.95/0.90 thf(zip_derived_cl618, plain,
% 1.95/0.90 ((((sk_c2) = (inverse @ sk_c8)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl594])).
% 1.95/0.90 thf(prove_this_20, conjecture,
% 1.95/0.90 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 1.95/0.90 thf(zf_stmt_11, negated_conjecture,
% 1.95/0.90 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.95/0.90 thf(zip_derived_cl22, plain,
% 1.95/0.90 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.95/0.90 thf(zip_derived_cl846, plain,
% 1.95/0.90 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c3))
% 1.95/0.90 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl618, zip_derived_cl22])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl866, plain,
% 1.95/0.90 ((((identity) = (sk_c3))
% 1.95/0.90 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl846, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl867, plain,
% 1.95/0.90 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl866])).
% 1.95/0.90 thf(prove_this_14, conjecture,
% 1.95/0.90 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 1.95/0.90 thf(zf_stmt_12, negated_conjecture,
% 1.95/0.90 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.95/0.90 thf(zip_derived_cl16, plain,
% 1.95/0.90 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.95/0.90 thf(zip_derived_cl883, plain,
% 1.95/0.90 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.95/0.90 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl867, zip_derived_cl16])).
% 1.95/0.90 thf(zip_derived_cl559, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl79])).
% 1.95/0.90 thf(zip_derived_cl894, plain,
% 1.95/0.90 ((((sk_c8) = (sk_c7))
% 1.95/0.90 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl883, zip_derived_cl559])).
% 1.95/0.90 thf(zip_derived_cl895, plain,
% 1.95/0.90 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl894])).
% 1.95/0.90 thf(zip_derived_cl72, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 1.95/0.90 thf(zip_derived_cl1092, plain,
% 1.95/0.90 ((((sk_c8) = (multiply @ (inverse @ sk_c4) @ sk_c7))
% 1.95/0.90 | ((sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl895, zip_derived_cl72])).
% 1.95/0.90 thf(zip_derived_cl1360, plain,
% 1.95/0.90 ((((sk_c8) = (multiply @ sk_c8 @ sk_c7))
% 1.95/0.90 | ((sk_c8) = (sk_c7))
% 1.95/0.90 | ((sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl586, zip_derived_cl1092])).
% 1.95/0.90 thf(zip_derived_cl1366, plain,
% 1.95/0.90 ((((sk_c8) = (sk_c7)) | ((sk_c8) = (multiply @ sk_c8 @ sk_c7)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1360])).
% 1.95/0.90 thf(zip_derived_cl1380, plain,
% 1.95/0.90 ((((sk_c8) = (multiply @ sk_c8 @ (inverse @ sk_c8)))
% 1.95/0.90 | ((sk_c8) = (sk_c7))
% 1.95/0.90 | ((sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl581, zip_derived_cl1366])).
% 1.95/0.90 thf(zip_derived_cl594, plain,
% 1.95/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl559, zip_derived_cl82])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl609, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl594, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1390, plain,
% 1.95/0.90 ((((sk_c8) = (identity)) | ((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl1380, zip_derived_cl609])).
% 1.95/0.90 thf(zip_derived_cl1391, plain,
% 1.95/0.90 ((((sk_c8) = (sk_c7)) | ((sk_c8) = (identity)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1390])).
% 1.95/0.90 thf(zip_derived_cl321, plain,
% 1.95/0.90 ((((inverse @ sk_c4) = (sk_c8))
% 1.95/0.90 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl314])).
% 1.95/0.90 thf(zip_derived_cl82, plain,
% 1.95/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl72])).
% 1.95/0.90 thf(zip_derived_cl340, plain,
% 1.95/0.90 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.95/0.90 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl321, zip_derived_cl82])).
% 1.95/0.90 thf(zip_derived_cl559, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl79])).
% 1.95/0.90 thf(zip_derived_cl559, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl79])).
% 1.95/0.90 thf(zip_derived_cl587, plain,
% 1.95/0.90 ((((sk_c4) = (inverse @ sk_c8)) | ((sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('demod', [status(thm)],
% 1.95/0.90 [zip_derived_cl340, zip_derived_cl559, zip_derived_cl559])).
% 1.95/0.90 thf(zip_derived_cl895, plain,
% 1.95/0.90 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl894])).
% 1.95/0.90 thf(zip_derived_cl1095, plain,
% 1.95/0.90 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((sk_c8) = (sk_c7))
% 1.95/0.90 | ((sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl587, zip_derived_cl895])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl1099, plain,
% 1.95/0.90 ((((identity) = (sk_c7)) | ((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl1095, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1100, plain,
% 1.95/0.90 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1099])).
% 1.95/0.90 thf(prove_this_9, conjecture,
% 1.95/0.90 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.95/0.90 thf(zf_stmt_13, negated_conjecture,
% 1.95/0.90 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.95/0.90 thf(zip_derived_cl11, plain,
% 1.95/0.90 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.95/0.90 thf(zip_derived_cl594, plain,
% 1.95/0.90 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl559, zip_derived_cl82])).
% 1.95/0.90 thf(zip_derived_cl616, plain,
% 1.95/0.90 ((((sk_c4) = (inverse @ sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl594])).
% 1.95/0.90 thf(prove_this_8, conjecture,
% 1.95/0.90 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.95/0.90 thf(zf_stmt_14, negated_conjecture,
% 1.95/0.90 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.95/0.90 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.95/0.90 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.95/0.90 thf(zip_derived_cl10, plain,
% 1.95/0.90 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.95/0.90 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.95/0.90 thf(zip_derived_cl831, plain,
% 1.95/0.90 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.95/0.90 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8))
% 1.95/0.90 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl616, zip_derived_cl10])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl839, plain,
% 1.95/0.90 ((((identity) = (sk_c7))
% 1.95/0.90 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8))
% 1.95/0.90 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl831, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl840, plain,
% 1.95/0.90 ((((multiply @ sk_c1 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl839])).
% 1.95/0.90 thf(zip_derived_cl1110, plain,
% 1.95/0.90 ((((multiply @ sk_c1 @ sk_c8) = (sk_c8))
% 1.95/0.90 | ((identity) = (sk_c7))
% 1.95/0.90 | ((identity) = (sk_c7)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl1100, zip_derived_cl840])).
% 1.95/0.90 thf(zip_derived_cl1113, plain,
% 1.95/0.90 ((((identity) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c8)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1110])).
% 1.95/0.90 thf(zip_derived_cl1405, plain,
% 1.95/0.90 ((((identity) = (sk_c8))
% 1.95/0.90 | ((sk_c8) = (identity))
% 1.95/0.90 | ((multiply @ sk_c1 @ sk_c8) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl1391, zip_derived_cl1113])).
% 1.95/0.90 thf(zip_derived_cl1410, plain,
% 1.95/0.90 ((((multiply @ sk_c1 @ sk_c8) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1405])).
% 1.95/0.90 thf(zip_derived_cl1442, plain,
% 1.95/0.90 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 1.95/0.90 | ((identity) = (sk_c8))
% 1.95/0.90 | ((identity) = (sk_c8)))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl138, zip_derived_cl1410])).
% 1.95/0.90 thf(zip_derived_cl609, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl594, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1443, plain,
% 1.95/0.90 ((((identity) = (sk_c8))
% 1.95/0.90 | ((identity) = (sk_c8))
% 1.95/0.90 | ((identity) = (sk_c8)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl1442, zip_derived_cl609])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl559, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl79])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl0, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.95/0.90 thf(zip_derived_cl72, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 1.95/0.90 thf(zip_derived_cl81, plain,
% 1.95/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl72])).
% 1.95/0.90 thf(zip_derived_cl72, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 1.95/0.90 thf(zip_derived_cl109, plain,
% 1.95/0.90 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl72])).
% 1.95/0.90 thf(zip_derived_cl1, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_inverse])).
% 1.95/0.90 thf(zip_derived_cl360, plain, (((inverse @ identity) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl360, plain, (((inverse @ identity) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl559, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl79])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl360, plain, (((inverse @ identity) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl360, plain, (((inverse @ identity) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl559, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl79])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl0, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.95/0.90 inference('cnf', [status(esa)], [left_identity])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl360, plain, (((inverse @ identity) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl360, plain, (((inverse @ identity) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl559, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl79])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl1475, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.95/0.90 (((X0) != (identity))
% 1.95/0.90 | ((inverse @ X1) != (X0))
% 1.95/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.95/0.90 | ((inverse @ X2) != (identity))
% 1.95/0.90 | ((X2) != (identity))
% 1.95/0.90 | ((identity) != (sk_c7))
% 1.95/0.90 | ((inverse @ X3) != (identity))
% 1.95/0.90 | ((X3) != (X4))
% 1.95/0.90 | ((X4) != (identity))
% 1.95/0.90 | ((X5) != (identity))
% 1.95/0.90 | ((inverse @ X5) != (identity)))),
% 1.95/0.90 inference('demod', [status(thm)],
% 1.95/0.90 [zip_derived_cl34, zip_derived_cl1444, zip_derived_cl559,
% 1.95/0.90 zip_derived_cl1444, zip_derived_cl360, zip_derived_cl1444,
% 1.95/0.90 zip_derived_cl360, zip_derived_cl1444, zip_derived_cl1444,
% 1.95/0.90 zip_derived_cl559, zip_derived_cl1444, zip_derived_cl360,
% 1.95/0.90 zip_derived_cl1444, zip_derived_cl360, zip_derived_cl1444,
% 1.95/0.90 zip_derived_cl1444, zip_derived_cl559, zip_derived_cl1444,
% 1.95/0.90 zip_derived_cl0, zip_derived_cl1444, zip_derived_cl360,
% 1.95/0.90 zip_derived_cl1444, zip_derived_cl360, zip_derived_cl559,
% 1.95/0.90 zip_derived_cl1444, zip_derived_cl1444])).
% 1.95/0.90 thf(zip_derived_cl581, plain,
% 1.95/0.90 ((((inverse @ sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl219, zip_derived_cl559])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl360, plain, (((inverse @ identity) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1444, plain, (((identity) = (sk_c8))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.95/0.90 thf(zip_derived_cl1506, plain,
% 1.95/0.90 ((((identity) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.95/0.90 inference('demod', [status(thm)],
% 1.95/0.90 [zip_derived_cl581, zip_derived_cl1444, zip_derived_cl360,
% 1.95/0.90 zip_derived_cl1444])).
% 1.95/0.90 thf(zip_derived_cl1507, plain, (((identity) = (sk_c7))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1506])).
% 1.95/0.90 thf(zip_derived_cl1553, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.95/0.90 (((X0) != (identity))
% 1.95/0.90 | ((inverse @ X1) != (X0))
% 1.95/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.95/0.90 | ((inverse @ X2) != (identity))
% 1.95/0.90 | ((X2) != (identity))
% 1.95/0.90 | ((identity) != (identity))
% 1.95/0.90 | ((inverse @ X3) != (identity))
% 1.95/0.90 | ((X3) != (X4))
% 1.95/0.90 | ((X4) != (identity))
% 1.95/0.90 | ((X5) != (identity))
% 1.95/0.90 | ((inverse @ X5) != (identity)))),
% 1.95/0.90 inference('demod', [status(thm)],
% 1.95/0.90 [zip_derived_cl1475, zip_derived_cl1507])).
% 1.95/0.90 thf(zip_derived_cl1554, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.95/0.90 (((inverse @ X5) != (identity))
% 1.95/0.90 | ((X5) != (identity))
% 1.95/0.90 | ((X4) != (identity))
% 1.95/0.90 | ((X3) != (X4))
% 1.95/0.90 | ((inverse @ X3) != (identity))
% 1.95/0.90 | ((X2) != (identity))
% 1.95/0.90 | ((inverse @ X2) != (identity))
% 1.95/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.95/0.90 | ((inverse @ X1) != (X0))
% 1.95/0.90 | ((X0) != (identity)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1553])).
% 1.95/0.90 thf(zip_derived_cl1555, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.95/0.90 (((X0) != (identity))
% 1.95/0.90 | ((inverse @ X1) != (X0))
% 1.95/0.90 | ((multiply @ X1 @ X0) != (identity))
% 1.95/0.90 | ((inverse @ X2) != (identity))
% 1.95/0.90 | ((X2) != (identity))
% 1.95/0.90 | ((inverse @ X3) != (identity))
% 1.95/0.90 | ((X3) != (identity))
% 1.95/0.90 | ((X4) != (identity))
% 1.95/0.90 | ((inverse @ X4) != (identity)))),
% 1.95/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1554])).
% 1.95/0.90 thf(zip_derived_cl1556, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.95/0.90 (((inverse @ X0) != (identity))
% 1.95/0.90 | ((X0) != (identity))
% 1.95/0.90 | ((X1) != (identity))
% 1.95/0.90 | ((inverse @ X1) != (identity))
% 1.95/0.90 | ((X2) != (identity))
% 1.95/0.90 | ((inverse @ X2) != (identity))
% 1.95/0.90 | ((multiply @ X3 @ identity) != (identity))
% 1.95/0.90 | ((inverse @ X3) != (identity)))),
% 1.95/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1555])).
% 1.95/0.90 thf(zip_derived_cl559, plain,
% 1.95/0.90 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl79])).
% 1.95/0.90 thf(zip_derived_cl1557, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.95/0.90 (((inverse @ X0) != (identity))
% 1.95/0.90 | ((X0) != (identity))
% 1.95/0.90 | ((X1) != (identity))
% 1.95/0.90 | ((inverse @ X1) != (identity))
% 1.95/0.90 | ((X2) != (identity))
% 1.95/0.90 | ((inverse @ X2) != (identity))
% 1.95/0.90 | ((X3) != (identity))
% 1.95/0.90 | ((inverse @ X3) != (identity)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl1556, zip_derived_cl559])).
% 1.95/0.90 thf(zip_derived_cl1558, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.95/0.90 (((inverse @ X0) != (identity))
% 1.95/0.90 | ((X0) != (identity))
% 1.95/0.90 | ((inverse @ X1) != (identity))
% 1.95/0.90 | ((X1) != (identity))
% 1.95/0.90 | ((inverse @ X2) != (identity))
% 1.95/0.90 | ((X2) != (identity))
% 1.95/0.90 | ((inverse @ identity) != (identity)))),
% 1.95/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1557])).
% 1.95/0.90 thf(zip_derived_cl360, plain, (((inverse @ identity) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1559, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.95/0.90 (((inverse @ X0) != (identity))
% 1.95/0.90 | ((X0) != (identity))
% 1.95/0.90 | ((inverse @ X1) != (identity))
% 1.95/0.90 | ((X1) != (identity))
% 1.95/0.90 | ((inverse @ X2) != (identity))
% 1.95/0.90 | ((X2) != (identity))
% 1.95/0.90 | ((identity) != (identity)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl1558, zip_derived_cl360])).
% 1.95/0.90 thf(zip_derived_cl1560, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.95/0.90 (((X2) != (identity))
% 1.95/0.90 | ((inverse @ X2) != (identity))
% 1.95/0.90 | ((X1) != (identity))
% 1.95/0.90 | ((inverse @ X1) != (identity))
% 1.95/0.90 | ((X0) != (identity))
% 1.95/0.90 | ((inverse @ X0) != (identity)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1559])).
% 1.95/0.90 thf(zip_derived_cl1561, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 (((inverse @ X0) != (identity))
% 1.95/0.90 | ((X0) != (identity))
% 1.95/0.90 | ((inverse @ X1) != (identity))
% 1.95/0.90 | ((X1) != (identity))
% 1.95/0.90 | ((inverse @ identity) != (identity)))),
% 1.95/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1560])).
% 1.95/0.90 thf(zip_derived_cl360, plain, (((inverse @ identity) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1562, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 (((inverse @ X0) != (identity))
% 1.95/0.90 | ((X0) != (identity))
% 1.95/0.90 | ((inverse @ X1) != (identity))
% 1.95/0.90 | ((X1) != (identity))
% 1.95/0.90 | ((identity) != (identity)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl1561, zip_derived_cl360])).
% 1.95/0.90 thf(zip_derived_cl1563, plain,
% 1.95/0.90 (![X0 : $i, X1 : $i]:
% 1.95/0.90 (((X1) != (identity))
% 1.95/0.90 | ((inverse @ X1) != (identity))
% 1.95/0.90 | ((X0) != (identity))
% 1.95/0.90 | ((inverse @ X0) != (identity)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1562])).
% 1.95/0.90 thf(zip_derived_cl1564, plain,
% 1.95/0.90 (![X0 : $i]:
% 1.95/0.90 (((inverse @ X0) != (identity))
% 1.95/0.90 | ((X0) != (identity))
% 1.95/0.90 | ((inverse @ identity) != (identity)))),
% 1.95/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1563])).
% 1.95/0.90 thf(zip_derived_cl360, plain, (((inverse @ identity) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1565, plain,
% 1.95/0.90 (![X0 : $i]:
% 1.95/0.90 (((inverse @ X0) != (identity))
% 1.95/0.90 | ((X0) != (identity))
% 1.95/0.90 | ((identity) != (identity)))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl1564, zip_derived_cl360])).
% 1.95/0.90 thf(zip_derived_cl1566, plain,
% 1.95/0.90 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1565])).
% 1.95/0.90 thf(zip_derived_cl1635, plain, (((inverse @ identity) != (identity))),
% 1.95/0.90 inference('eq_res', [status(thm)], [zip_derived_cl1566])).
% 1.95/0.90 thf(zip_derived_cl360, plain, (((inverse @ identity) = (identity))),
% 1.95/0.90 inference('sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl1])).
% 1.95/0.90 thf(zip_derived_cl1636, plain, (((identity) != (identity))),
% 1.95/0.90 inference('demod', [status(thm)], [zip_derived_cl1635, zip_derived_cl360])).
% 1.95/0.90 thf(zip_derived_cl1637, plain, ($false),
% 1.95/0.90 inference('simplify', [status(thm)], [zip_derived_cl1636])).
% 1.95/0.90
% 1.95/0.90 % SZS output end Refutation
% 1.95/0.90
% 1.95/0.90
% 1.95/0.90 % Terminating...
% 1.95/1.00 % Runner terminated.
% 1.95/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------