TSTP Solution File: GRP222-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP222-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Tq1oofM5lI true
% Computer : n025.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 01:50:47 EDT 2023
% Result : Unsatisfiable 2.95s 1.03s
% Output : Refutation 2.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP222-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Tq1oofM5lI true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:17:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.95/1.03 % Solved by fo/fo7.sh.
% 2.95/1.03 % done 435 iterations in 0.254s
% 2.95/1.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.95/1.03 % SZS output start Refutation
% 2.95/1.03 thf(sk_c3_type, type, sk_c3: $i).
% 2.95/1.03 thf(sk_c4_type, type, sk_c4: $i).
% 2.95/1.03 thf(sk_c2_type, type, sk_c2: $i).
% 2.95/1.03 thf(sk_c5_type, type, sk_c5: $i).
% 2.95/1.03 thf(identity_type, type, identity: $i).
% 2.95/1.03 thf(multiply_type, type, multiply: $i > $i > $i).
% 2.95/1.03 thf(sk_c7_type, type, sk_c7: $i).
% 2.95/1.03 thf(inverse_type, type, inverse: $i > $i).
% 2.95/1.03 thf(sk_c6_type, type, sk_c6: $i).
% 2.95/1.03 thf(sk_c1_type, type, sk_c1: $i).
% 2.95/1.03 thf(prove_this_14, conjecture,
% 2.95/1.03 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 2.95/1.03 thf(zf_stmt_0, negated_conjecture,
% 2.95/1.03 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 2.95/1.03 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 2.95/1.03 thf(zip_derived_cl16, plain,
% 2.95/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c3)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.95/1.03 thf(prove_this_10, conjecture,
% 2.95/1.03 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c6 ) ) ))).
% 2.95/1.03 thf(zf_stmt_1, negated_conjecture,
% 2.95/1.03 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c6 ) )),
% 2.95/1.03 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 2.95/1.03 thf(zip_derived_cl12, plain,
% 2.95/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c3) = (sk_c6)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.95/1.03 thf(zip_derived_cl38, plain,
% 2.95/1.03 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c6))
% 2.95/1.03 | ((inverse @ sk_c4) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c4) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl12])).
% 2.95/1.03 thf(zip_derived_cl41, plain,
% 2.95/1.03 ((((inverse @ sk_c4) = (sk_c7))
% 2.95/1.03 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c6)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 2.95/1.03 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 2.95/1.03 thf(zip_derived_cl1, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.95/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 2.95/1.03 thf(zip_derived_cl1, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.95/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 2.95/1.03 thf(associativity, axiom,
% 2.95/1.03 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 2.95/1.03 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 2.95/1.03 thf(zip_derived_cl2, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.95/1.03 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.95/1.03 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.95/1.03 inference('cnf', [status(esa)], [associativity])).
% 2.95/1.03 thf(zip_derived_cl81, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 ((multiply @ identity @ X0)
% 2.95/1.03 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 2.95/1.03 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 2.95/1.03 thf(zip_derived_cl0, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.95/1.03 inference('cnf', [status(esa)], [left_identity])).
% 2.95/1.03 thf(zip_derived_cl101, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl0])).
% 2.95/1.03 thf(zip_derived_cl110, plain,
% 2.95/1.03 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl101])).
% 2.95/1.03 thf(zip_derived_cl101, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl0])).
% 2.95/1.03 thf(zip_derived_cl101, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl0])).
% 2.95/1.03 thf(zip_derived_cl107, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl101])).
% 2.95/1.03 thf(zip_derived_cl280, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl107])).
% 2.95/1.03 thf(zip_derived_cl110, plain,
% 2.95/1.03 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl101])).
% 2.95/1.03 thf(zip_derived_cl295, plain,
% 2.95/1.03 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl280, zip_derived_cl110])).
% 2.95/1.03 thf(zip_derived_cl1, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.95/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 2.95/1.03 thf(zip_derived_cl300, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl295, zip_derived_cl1])).
% 2.95/1.03 thf(zip_derived_cl352, plain,
% 2.95/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((identity) = (sk_c6)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl300])).
% 2.95/1.03 thf(prove_this_6, conjecture,
% 2.95/1.03 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 2.95/1.03 thf(zf_stmt_2, negated_conjecture,
% 2.95/1.03 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 2.95/1.03 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 2.95/1.03 thf(zip_derived_cl8, plain,
% 2.95/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.95/1.03 thf(zip_derived_cl367, plain,
% 2.95/1.03 ((((multiply @ sk_c1 @ identity) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c4) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c4) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl352, zip_derived_cl8])).
% 2.95/1.03 thf(zip_derived_cl280, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl107])).
% 2.95/1.03 thf(zip_derived_cl374, plain,
% 2.95/1.03 ((((sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c4) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c4) = (sk_c7)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl367, zip_derived_cl280])).
% 2.95/1.03 thf(zip_derived_cl375, plain,
% 2.95/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl374])).
% 2.95/1.03 thf(zip_derived_cl300, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl295, zip_derived_cl1])).
% 2.95/1.03 thf(zip_derived_cl407, plain,
% 2.95/1.03 ((((multiply @ sk_c4 @ sk_c7) = (identity)) | ((sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl375, zip_derived_cl300])).
% 2.95/1.03 thf(prove_this_13, conjecture,
% 2.95/1.03 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 2.95/1.03 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 2.95/1.03 thf(zf_stmt_3, negated_conjecture,
% 2.95/1.03 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 2.95/1.03 ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 2.95/1.03 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 2.95/1.03 thf(zip_derived_cl15, plain,
% 2.95/1.03 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c3)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.95/1.03 thf(prove_this_9, conjecture,
% 2.95/1.03 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 2.95/1.03 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c6 ) ) ))).
% 2.95/1.03 thf(zf_stmt_4, negated_conjecture,
% 2.95/1.03 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 2.95/1.03 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c6 ) )),
% 2.95/1.03 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 2.95/1.03 thf(zip_derived_cl11, plain,
% 2.95/1.03 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 2.95/1.03 | ((multiply @ sk_c2 @ sk_c3) = (sk_c6)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.95/1.03 thf(zip_derived_cl57, plain,
% 2.95/1.03 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c6))
% 2.95/1.03 | ((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 2.95/1.03 | ((multiply @ sk_c4 @ sk_c7) = (sk_c6)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl11])).
% 2.95/1.03 thf(zip_derived_cl61, plain,
% 2.95/1.03 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 2.95/1.03 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c6)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl57])).
% 2.95/1.03 thf(zip_derived_cl300, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl295, zip_derived_cl1])).
% 2.95/1.03 thf(zip_derived_cl913, plain,
% 2.95/1.03 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl300])).
% 2.95/1.03 thf(zip_derived_cl929, plain,
% 2.95/1.03 ((((multiply @ sk_c4 @ sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 2.95/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl913])).
% 2.95/1.03 thf(zip_derived_cl932, plain,
% 2.95/1.03 ((((identity) != (identity))
% 2.95/1.03 | ((sk_c1) = (sk_c7))
% 2.95/1.03 | ((identity) = (sk_c6)))),
% 2.95/1.03 inference('sup-', [status(thm)], [zip_derived_cl407, zip_derived_cl929])).
% 2.95/1.03 thf(zip_derived_cl937, plain,
% 2.95/1.03 ((((identity) = (sk_c6)) | ((sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl932])).
% 2.95/1.03 thf(prove_this_4, conjecture,
% 2.95/1.03 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 2.95/1.03 thf(zf_stmt_5, negated_conjecture,
% 2.95/1.03 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 2.95/1.03 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 2.95/1.03 thf(zip_derived_cl6, plain,
% 2.95/1.03 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.95/1.03 thf(zip_derived_cl101, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl0])).
% 2.95/1.03 thf(zip_derived_cl118, plain,
% 2.95/1.03 ((((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl101])).
% 2.95/1.03 thf(prove_this_2, conjecture,
% 2.95/1.03 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 2.95/1.03 thf(zf_stmt_6, negated_conjecture,
% 2.95/1.03 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 2.95/1.03 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 2.95/1.03 thf(zip_derived_cl4, plain,
% 2.95/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_6])).
% 2.95/1.03 thf(zip_derived_cl300, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl295, zip_derived_cl1])).
% 2.95/1.03 thf(zip_derived_cl360, plain,
% 2.95/1.03 ((((multiply @ sk_c4 @ sk_c7) = (identity))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl300])).
% 2.95/1.03 thf(zip_derived_cl929, plain,
% 2.95/1.03 ((((multiply @ sk_c4 @ sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 2.95/1.03 inference('eq_fact', [status(thm)], [zip_derived_cl913])).
% 2.95/1.03 thf(zip_derived_cl931, plain,
% 2.95/1.03 ((((identity) != (identity))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((identity) = (sk_c6)))),
% 2.95/1.03 inference('sup-', [status(thm)], [zip_derived_cl360, zip_derived_cl929])).
% 2.95/1.03 thf(zip_derived_cl936, plain,
% 2.95/1.03 ((((identity) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl931])).
% 2.95/1.03 thf(zip_derived_cl6, plain,
% 2.95/1.03 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.95/1.03 thf(zip_derived_cl945, plain,
% 2.95/1.03 ((((multiply @ sk_c5 @ identity) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl936, zip_derived_cl6])).
% 2.95/1.03 thf(zip_derived_cl962, plain,
% 2.95/1.03 ((((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((multiply @ sk_c5 @ identity) = (sk_c7)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl945])).
% 2.95/1.03 thf(zip_derived_cl280, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl107])).
% 2.95/1.03 thf(zip_derived_cl1056, plain,
% 2.95/1.03 ((((sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl962, zip_derived_cl280])).
% 2.95/1.03 thf(prove_this_3, conjecture,
% 2.95/1.03 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 2.95/1.03 thf(zf_stmt_7, negated_conjecture,
% 2.95/1.03 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 2.95/1.03 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 2.95/1.03 thf(zip_derived_cl5, plain,
% 2.95/1.03 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_7])).
% 2.95/1.03 thf(zip_derived_cl1064, plain,
% 2.95/1.03 ((((inverse @ sk_c7) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl1056, zip_derived_cl5])).
% 2.95/1.03 thf(zip_derived_cl1082, plain,
% 2.95/1.03 ((((inverse @ sk_c1) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c7)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1064])).
% 2.95/1.03 thf(zip_derived_cl360, plain,
% 2.95/1.03 ((((multiply @ sk_c4 @ sk_c7) = (identity))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl300])).
% 2.95/1.03 thf(prove_this_1, conjecture,
% 2.95/1.03 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 2.95/1.03 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 2.95/1.03 thf(zf_stmt_8, negated_conjecture,
% 2.95/1.03 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 2.95/1.03 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 2.95/1.03 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 2.95/1.03 thf(zip_derived_cl3, plain,
% 2.95/1.03 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_8])).
% 2.95/1.03 thf(zip_derived_cl4, plain,
% 2.95/1.03 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_6])).
% 2.95/1.03 thf(zip_derived_cl5, plain,
% 2.95/1.03 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_7])).
% 2.95/1.03 thf(zip_derived_cl118, plain,
% 2.95/1.03 ((((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl101])).
% 2.95/1.03 thf(zip_derived_cl175, plain,
% 2.95/1.03 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl118])).
% 2.95/1.03 thf(zip_derived_cl178, plain,
% 2.95/1.03 ((((inverse @ sk_c1) = (sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 2.95/1.03 thf(zip_derived_cl295, plain,
% 2.95/1.03 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl280, zip_derived_cl110])).
% 2.95/1.03 thf(prove_this_21, conjecture,
% 2.95/1.03 (~( ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 2.95/1.03 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 2.95/1.03 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 2.95/1.03 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 2.95/1.03 ( ( multiply @ X5 @ sk_c7 ) != ( sk_c6 ) ) |
% 2.95/1.03 ( ( inverse @ X4 ) != ( X5 ) ) |
% 2.95/1.03 ( ( multiply @ X4 @ X5 ) != ( sk_c6 ) ) |
% 2.95/1.03 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 2.95/1.03 ( ( inverse @ X3 ) != ( sk_c7 ) ) ))).
% 2.95/1.03 thf(zf_stmt_9, negated_conjecture,
% 2.95/1.03 (( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 2.95/1.03 ( ( inverse @ X2 ) != ( sk_c7 ) ) | ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 2.95/1.03 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 2.95/1.03 ( ( multiply @ X5 @ sk_c7 ) != ( sk_c6 ) ) |
% 2.95/1.03 ( ( inverse @ X4 ) != ( X5 ) ) |
% 2.95/1.03 ( ( multiply @ X4 @ X5 ) != ( sk_c6 ) ) |
% 2.95/1.03 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 2.95/1.03 ( ( inverse @ X3 ) != ( sk_c7 ) )),
% 2.95/1.03 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 2.95/1.03 thf(zip_derived_cl23, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.95/1.03 (((multiply @ X0 @ sk_c6) != (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((inverse @ X1) != (sk_c7))
% 2.95/1.03 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((multiply @ X2 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((inverse @ X3) != (X2))
% 2.95/1.03 | ((multiply @ X3 @ X2) != (sk_c6))
% 2.95/1.03 | ((multiply @ X4 @ sk_c6) != (sk_c7))
% 2.95/1.03 | ((inverse @ X4) != (sk_c7)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_9])).
% 2.95/1.03 thf(zip_derived_cl301, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.95/1.03 (((X0) != (sk_c7))
% 2.95/1.03 | ((inverse @ X1) != (sk_c7))
% 2.95/1.03 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 2.95/1.03 | ((multiply @ X3 @ X2) != (sk_c6))
% 2.95/1.03 | ((inverse @ X3) != (X2))
% 2.95/1.03 | ((multiply @ X2 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((multiply @ X4 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((inverse @ X4) != (sk_c7))
% 2.95/1.03 | ((multiply @ (inverse @ X0) @ sk_c6) != (sk_c7)))),
% 2.95/1.03 inference('sup-', [status(thm)], [zip_derived_cl295, zip_derived_cl23])).
% 2.95/1.03 thf(zip_derived_cl345, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.95/1.03 (((multiply @ (inverse @ sk_c7) @ sk_c6) != (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((inverse @ X2) != (X1))
% 2.95/1.03 | ((multiply @ X2 @ X1) != (sk_c6))
% 2.95/1.03 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 2.95/1.03 | ((inverse @ X3) != (sk_c7)))),
% 2.95/1.03 inference('eq_res', [status(thm)], [zip_derived_cl301])).
% 2.95/1.03 thf(zip_derived_cl349, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.95/1.03 (((multiply @ (inverse @ sk_c7) @ (multiply @ sk_c7 @ sk_c7))
% 2.95/1.03 != (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 2.95/1.03 | ((multiply @ X2 @ X1) != (sk_c6))
% 2.95/1.03 | ((inverse @ X2) != (X1))
% 2.95/1.03 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((inverse @ X3) != (sk_c7)))),
% 2.95/1.03 inference('sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl345])).
% 2.95/1.03 thf(zip_derived_cl101, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl0])).
% 2.95/1.03 thf(zip_derived_cl350, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.95/1.03 (((sk_c7) != (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 2.95/1.03 | ((multiply @ X2 @ X1) != (sk_c6))
% 2.95/1.03 | ((inverse @ X2) != (X1))
% 2.95/1.03 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((inverse @ X3) != (sk_c7)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl349, zip_derived_cl101])).
% 2.95/1.03 thf(zip_derived_cl351, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.95/1.03 (((inverse @ X3) != (sk_c7))
% 2.95/1.03 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((inverse @ X2) != (X1))
% 2.95/1.03 | ((multiply @ X2 @ X1) != (sk_c6))
% 2.95/1.03 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl350])).
% 2.95/1.03 thf(zip_derived_cl506, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.95/1.03 (((sk_c7) != (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 2.95/1.03 | ((multiply @ X2 @ X1) != (sk_c6))
% 2.95/1.03 | ((inverse @ X2) != (X1))
% 2.95/1.03 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((multiply @ sk_c4 @ sk_c7) != (sk_c6)))),
% 2.95/1.03 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl351])).
% 2.95/1.03 thf(zip_derived_cl511, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.95/1.03 (((multiply @ sk_c4 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((inverse @ X2) != (X1))
% 2.95/1.03 | ((multiply @ X2 @ X1) != (sk_c6))
% 2.95/1.03 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl506])).
% 2.95/1.03 thf(zip_derived_cl512, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.95/1.03 (((multiply @ sk_c4 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((multiply @ X1 @ sk_c7) != (multiply @ sk_c4 @ sk_c7))
% 2.95/1.03 | ((inverse @ X2) != (X1))
% 2.95/1.03 | ((multiply @ X2 @ X1) != (multiply @ sk_c4 @ sk_c7))
% 2.95/1.03 | ((multiply @ X0 @ (multiply @ sk_c4 @ sk_c7)) != (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('local_rewriting', [status(thm)], [zip_derived_cl511])).
% 2.95/1.03 thf(zip_derived_cl759, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.95/1.03 (((multiply @ sk_c4 @ sk_c7) != (multiply @ sk_c4 @ sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((multiply @ X0 @ (multiply @ sk_c4 @ sk_c7)) != (sk_c7))
% 2.95/1.03 | ((multiply @ X2 @ X1) != (multiply @ sk_c4 @ sk_c7))
% 2.95/1.03 | ((inverse @ X2) != (X1))
% 2.95/1.03 | ((multiply @ X1 @ sk_c7) != (multiply @ sk_c4 @ sk_c7)))),
% 2.95/1.03 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl512])).
% 2.95/1.03 thf(zip_derived_cl764, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.95/1.03 (((multiply @ X1 @ sk_c7) != (multiply @ sk_c4 @ sk_c7))
% 2.95/1.03 | ((inverse @ X2) != (X1))
% 2.95/1.03 | ((multiply @ X2 @ X1) != (multiply @ sk_c4 @ sk_c7))
% 2.95/1.03 | ((multiply @ X0 @ (multiply @ sk_c4 @ sk_c7)) != (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl759])).
% 2.95/1.03 thf(zip_derived_cl778, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 (((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((multiply @ X0 @ (multiply @ sk_c4 @ sk_c7)) != (sk_c7))
% 2.95/1.03 | ((multiply @ X1 @ (inverse @ X1)) != (multiply @ sk_c4 @ sk_c7))
% 2.95/1.03 | ((multiply @ (inverse @ X1) @ sk_c7) != (multiply @ sk_c4 @ sk_c7)))),
% 2.95/1.03 inference('eq_res', [status(thm)], [zip_derived_cl764])).
% 2.95/1.03 thf(zip_derived_cl300, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl295, zip_derived_cl1])).
% 2.95/1.03 thf(zip_derived_cl779, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 (((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((multiply @ X0 @ (multiply @ sk_c4 @ sk_c7)) != (sk_c7))
% 2.95/1.03 | ((identity) != (multiply @ sk_c4 @ sk_c7))
% 2.95/1.03 | ((multiply @ (inverse @ X1) @ sk_c7) != (multiply @ sk_c4 @ sk_c7)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl778, zip_derived_cl300])).
% 2.95/1.03 thf(zip_derived_cl780, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 (((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((multiply @ X0 @ identity) != (sk_c7))
% 2.95/1.03 | ((identity) != (multiply @ sk_c4 @ sk_c7))
% 2.95/1.03 | ((multiply @ (inverse @ X1) @ sk_c7) != (identity)))),
% 2.95/1.03 inference('local_rewriting', [status(thm)], [zip_derived_cl779])).
% 2.95/1.03 thf(zip_derived_cl280, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl107])).
% 2.95/1.03 thf(zip_derived_cl784, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 (((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((X0) != (sk_c7))
% 2.95/1.03 | ((identity) != (multiply @ sk_c4 @ sk_c7))
% 2.95/1.03 | ((multiply @ (inverse @ X1) @ sk_c7) != (identity)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl780, zip_derived_cl280])).
% 2.95/1.03 thf(zip_derived_cl786, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 (((identity) != (identity))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 2.95/1.03 | ((X1) != (sk_c7))
% 2.95/1.03 | ((inverse @ X1) != (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('sup-', [status(thm)], [zip_derived_cl360, zip_derived_cl784])).
% 2.95/1.03 thf(zip_derived_cl792, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 (((inverse @ X1) != (sk_c7))
% 2.95/1.03 | ((X1) != (sk_c7))
% 2.95/1.03 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 2.95/1.03 thf(zip_derived_cl800, plain,
% 2.95/1.03 (![X0 : $i]:
% 2.95/1.03 (((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 2.95/1.03 | ((inverse @ sk_c7) != (sk_c7)))),
% 2.95/1.03 inference('eq_res', [status(thm)], [zip_derived_cl792])).
% 2.95/1.03 thf(zip_derived_cl1107, plain,
% 2.95/1.03 (![X0 : $i]:
% 2.95/1.03 (((sk_c7) != (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('sup-', [status(thm)], [zip_derived_cl1082, zip_derived_cl800])).
% 2.95/1.03 thf(zip_derived_cl1114, plain,
% 2.95/1.03 (![X0 : $i]:
% 2.95/1.03 (((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1107])).
% 2.95/1.03 thf(zip_derived_cl1118, plain,
% 2.95/1.03 ((((sk_c6) != (identity))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7))
% 2.95/1.03 | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('sup-', [status(thm)], [zip_derived_cl118, zip_derived_cl1114])).
% 2.95/1.03 thf(zip_derived_cl1131, plain,
% 2.95/1.03 ((((inverse @ sk_c1) = (sk_c7)) | ((sk_c6) != (identity)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1118])).
% 2.95/1.03 thf(zip_derived_cl936, plain,
% 2.95/1.03 ((((identity) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl931])).
% 2.95/1.03 thf(zip_derived_cl1137, plain, (((inverse @ sk_c1) = (sk_c7))),
% 2.95/1.03 inference('clc', [status(thm)], [zip_derived_cl1131, zip_derived_cl936])).
% 2.95/1.03 thf(zip_derived_cl1195, plain,
% 2.95/1.03 ((((identity) = (sk_c6)) | ((sk_c1) = (inverse @ sk_c1)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl937, zip_derived_cl1137])).
% 2.95/1.03 thf(prove_this_7, conjecture,
% 2.95/1.03 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 2.95/1.03 thf(zf_stmt_10, negated_conjecture,
% 2.95/1.03 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 2.95/1.03 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 2.95/1.03 thf(zip_derived_cl9, plain,
% 2.95/1.03 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_10])).
% 2.95/1.03 thf(zip_derived_cl1, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.95/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 2.95/1.03 thf(zip_derived_cl30, plain,
% 2.95/1.03 ((((multiply @ sk_c7 @ sk_c5) = (identity))
% 2.95/1.03 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 2.95/1.03 thf(zip_derived_cl101, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl0])).
% 2.95/1.03 thf(zip_derived_cl117, plain,
% 2.95/1.03 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ identity))
% 2.95/1.03 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl101])).
% 2.95/1.03 thf(zip_derived_cl280, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl107])).
% 2.95/1.03 thf(zip_derived_cl289, plain,
% 2.95/1.03 ((((sk_c5) = (inverse @ sk_c7)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl280])).
% 2.95/1.03 thf(zip_derived_cl1137, plain, (((inverse @ sk_c1) = (sk_c7))),
% 2.95/1.03 inference('clc', [status(thm)], [zip_derived_cl1131, zip_derived_cl936])).
% 2.95/1.03 thf(zip_derived_cl295, plain,
% 2.95/1.03 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl280, zip_derived_cl110])).
% 2.95/1.03 thf(zip_derived_cl1137, plain, (((inverse @ sk_c1) = (sk_c7))),
% 2.95/1.03 inference('clc', [status(thm)], [zip_derived_cl1131, zip_derived_cl936])).
% 2.95/1.03 thf(zip_derived_cl1168, plain,
% 2.95/1.03 ((((sk_c5) = (sk_c1)) | ((multiply @ sk_c1 @ sk_c6) = (inverse @ sk_c1)))),
% 2.95/1.03 inference('demod', [status(thm)],
% 2.95/1.03 [zip_derived_cl289, zip_derived_cl1137, zip_derived_cl295,
% 2.95/1.03 zip_derived_cl1137])).
% 2.95/1.03 thf(prove_this_8, conjecture,
% 2.95/1.03 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 2.95/1.03 thf(zf_stmt_11, negated_conjecture,
% 2.95/1.03 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.95/1.03 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 2.95/1.03 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 2.95/1.03 thf(zip_derived_cl10, plain,
% 2.95/1.03 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 2.95/1.03 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_11])).
% 2.95/1.03 thf(zip_derived_cl1137, plain, (((inverse @ sk_c1) = (sk_c7))),
% 2.95/1.03 inference('clc', [status(thm)], [zip_derived_cl1131, zip_derived_cl936])).
% 2.95/1.03 thf(zip_derived_cl1137, plain, (((inverse @ sk_c1) = (sk_c7))),
% 2.95/1.03 inference('clc', [status(thm)], [zip_derived_cl1131, zip_derived_cl936])).
% 2.95/1.03 thf(zip_derived_cl1141, plain,
% 2.95/1.03 ((((multiply @ sk_c5 @ sk_c6) = (inverse @ sk_c1))
% 2.95/1.03 | ((multiply @ sk_c1 @ sk_c6) = (inverse @ sk_c1)))),
% 2.95/1.03 inference('demod', [status(thm)],
% 2.95/1.03 [zip_derived_cl10, zip_derived_cl1137, zip_derived_cl1137])).
% 2.95/1.03 thf(zip_derived_cl1842, plain,
% 2.95/1.03 ((((multiply @ sk_c1 @ sk_c6) = (inverse @ sk_c1))
% 2.95/1.03 | ((multiply @ sk_c1 @ sk_c6) = (inverse @ sk_c1))
% 2.95/1.03 | ((multiply @ sk_c1 @ sk_c6) = (inverse @ sk_c1)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl1168, zip_derived_cl1141])).
% 2.95/1.03 thf(zip_derived_cl1844, plain,
% 2.95/1.03 (((multiply @ sk_c1 @ sk_c6) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1842])).
% 2.95/1.03 thf(zip_derived_cl1859, plain,
% 2.95/1.03 ((((multiply @ sk_c1 @ identity) = (inverse @ sk_c1))
% 2.95/1.03 | ((sk_c1) = (inverse @ sk_c1)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl1195, zip_derived_cl1844])).
% 2.95/1.03 thf(zip_derived_cl280, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl107])).
% 2.95/1.03 thf(zip_derived_cl1864, plain,
% 2.95/1.03 ((((sk_c1) = (inverse @ sk_c1)) | ((sk_c1) = (inverse @ sk_c1)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl1859, zip_derived_cl280])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl295, plain,
% 2.95/1.03 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl280, zip_derived_cl110])).
% 2.95/1.03 thf(zip_derived_cl23, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.95/1.03 (((multiply @ X0 @ sk_c6) != (sk_c7))
% 2.95/1.03 | ((inverse @ X0) != (sk_c7))
% 2.95/1.03 | ((inverse @ X1) != (sk_c7))
% 2.95/1.03 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((multiply @ X2 @ sk_c7) != (sk_c6))
% 2.95/1.03 | ((inverse @ X3) != (X2))
% 2.95/1.03 | ((multiply @ X3 @ X2) != (sk_c6))
% 2.95/1.03 | ((multiply @ X4 @ sk_c6) != (sk_c7))
% 2.95/1.03 | ((inverse @ X4) != (sk_c7)))),
% 2.95/1.03 inference('cnf', [status(esa)], [zf_stmt_9])).
% 2.95/1.03 thf(zip_derived_cl1137, plain, (((inverse @ sk_c1) = (sk_c7))),
% 2.95/1.03 inference('clc', [status(thm)], [zip_derived_cl1131, zip_derived_cl936])).
% 2.95/1.03 thf(zip_derived_cl1137, plain, (((inverse @ sk_c1) = (sk_c7))),
% 2.95/1.03 inference('clc', [status(thm)], [zip_derived_cl1131, zip_derived_cl936])).
% 2.95/1.03 thf(zip_derived_cl1137, plain, (((inverse @ sk_c1) = (sk_c7))),
% 2.95/1.03 inference('clc', [status(thm)], [zip_derived_cl1131, zip_derived_cl936])).
% 2.95/1.03 thf(zip_derived_cl1137, plain, (((inverse @ sk_c1) = (sk_c7))),
% 2.95/1.03 inference('clc', [status(thm)], [zip_derived_cl1131, zip_derived_cl936])).
% 2.95/1.03 thf(zip_derived_cl1137, plain, (((inverse @ sk_c1) = (sk_c7))),
% 2.95/1.03 inference('clc', [status(thm)], [zip_derived_cl1131, zip_derived_cl936])).
% 2.95/1.03 thf(zip_derived_cl1137, plain, (((inverse @ sk_c1) = (sk_c7))),
% 2.95/1.03 inference('clc', [status(thm)], [zip_derived_cl1131, zip_derived_cl936])).
% 2.95/1.03 thf(zip_derived_cl1137, plain, (((inverse @ sk_c1) = (sk_c7))),
% 2.95/1.03 inference('clc', [status(thm)], [zip_derived_cl1131, zip_derived_cl936])).
% 2.95/1.03 thf(zip_derived_cl1154, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.95/1.03 (((multiply @ X0 @ sk_c6) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X1) != (inverse @ sk_c1))
% 2.95/1.03 | ((multiply @ X1 @ (inverse @ sk_c1)) != (sk_c6))
% 2.95/1.03 | ((multiply @ X2 @ (inverse @ sk_c1)) != (sk_c6))
% 2.95/1.03 | ((inverse @ X3) != (X2))
% 2.95/1.03 | ((multiply @ X3 @ X2) != (sk_c6))
% 2.95/1.03 | ((multiply @ X4 @ sk_c6) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X4) != (inverse @ sk_c1)))),
% 2.95/1.03 inference('demod', [status(thm)],
% 2.95/1.03 [zip_derived_cl23, zip_derived_cl1137, zip_derived_cl1137,
% 2.95/1.03 zip_derived_cl1137, zip_derived_cl1137, zip_derived_cl1137,
% 2.95/1.03 zip_derived_cl1137, zip_derived_cl1137])).
% 2.95/1.03 thf(zip_derived_cl1230, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.95/1.03 (((X0) != (X1))
% 2.95/1.03 | ((inverse @ X2) != (inverse @ sk_c1))
% 2.95/1.03 | ((multiply @ X2 @ sk_c6) != (inverse @ sk_c1))
% 2.95/1.03 | ((multiply @ (inverse @ X0) @ X1) != (sk_c6))
% 2.95/1.03 | ((multiply @ X1 @ (inverse @ sk_c1)) != (sk_c6))
% 2.95/1.03 | ((multiply @ X3 @ (inverse @ sk_c1)) != (sk_c6))
% 2.95/1.03 | ((inverse @ X3) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X4) != (inverse @ sk_c1))
% 2.95/1.03 | ((multiply @ X4 @ sk_c6) != (inverse @ sk_c1)))),
% 2.95/1.03 inference('sup-', [status(thm)], [zip_derived_cl295, zip_derived_cl1154])).
% 2.95/1.03 thf(zip_derived_cl1308, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.95/1.03 (((multiply @ X0 @ sk_c6) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X1) != (inverse @ sk_c1))
% 2.95/1.03 | ((multiply @ X1 @ (inverse @ sk_c1)) != (sk_c6))
% 2.95/1.03 | ((multiply @ X2 @ (inverse @ sk_c1)) != (sk_c6))
% 2.95/1.03 | ((multiply @ (inverse @ X2) @ X2) != (sk_c6))
% 2.95/1.03 | ((multiply @ X3 @ sk_c6) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X3) != (inverse @ sk_c1)))),
% 2.95/1.03 inference('eq_res', [status(thm)], [zip_derived_cl1230])).
% 2.95/1.03 thf(zip_derived_cl1, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.95/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 2.95/1.03 thf(zip_derived_cl1309, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.95/1.03 (((multiply @ X0 @ sk_c6) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X1) != (inverse @ sk_c1))
% 2.95/1.03 | ((multiply @ X1 @ (inverse @ sk_c1)) != (sk_c6))
% 2.95/1.03 | ((multiply @ X2 @ (inverse @ sk_c1)) != (sk_c6))
% 2.95/1.03 | ((identity) != (sk_c6))
% 2.95/1.03 | ((multiply @ X3 @ sk_c6) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X3) != (inverse @ sk_c1)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl1308, zip_derived_cl1])).
% 2.95/1.03 thf(zip_derived_cl1310, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.95/1.03 (((multiply @ X0 @ identity) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X1) != (inverse @ sk_c1))
% 2.95/1.03 | ((multiply @ X1 @ (inverse @ sk_c1)) != (identity))
% 2.95/1.03 | ((multiply @ X2 @ (inverse @ sk_c1)) != (identity))
% 2.95/1.03 | ((identity) != (sk_c6))
% 2.95/1.03 | ((multiply @ X3 @ identity) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X3) != (inverse @ sk_c1)))),
% 2.95/1.03 inference('local_rewriting', [status(thm)], [zip_derived_cl1309])).
% 2.95/1.03 thf(zip_derived_cl280, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl107])).
% 2.95/1.03 thf(zip_derived_cl280, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl107])).
% 2.95/1.03 thf(zip_derived_cl1311, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.95/1.03 (((X0) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X1) != (inverse @ sk_c1))
% 2.95/1.03 | ((multiply @ X1 @ (inverse @ sk_c1)) != (identity))
% 2.95/1.03 | ((multiply @ X2 @ (inverse @ sk_c1)) != (identity))
% 2.95/1.03 | ((identity) != (sk_c6))
% 2.95/1.03 | ((X3) != (inverse @ sk_c1))
% 2.95/1.03 | ((inverse @ X3) != (inverse @ sk_c1)))),
% 2.95/1.03 inference('demod', [status(thm)],
% 2.95/1.03 [zip_derived_cl1310, zip_derived_cl280, zip_derived_cl280])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl1901, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.95/1.03 (((X0) != (sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (sk_c1))
% 2.95/1.03 | ((inverse @ X1) != (sk_c1))
% 2.95/1.03 | ((multiply @ X1 @ sk_c1) != (identity))
% 2.95/1.03 | ((multiply @ X2 @ sk_c1) != (identity))
% 2.95/1.03 | ((identity) != (sk_c6))
% 2.95/1.03 | ((X3) != (sk_c1))
% 2.95/1.03 | ((inverse @ X3) != (sk_c1)))),
% 2.95/1.03 inference('demod', [status(thm)],
% 2.95/1.03 [zip_derived_cl1311, zip_derived_cl1865, zip_derived_cl1865,
% 2.95/1.03 zip_derived_cl1865, zip_derived_cl1865, zip_derived_cl1865,
% 2.95/1.03 zip_derived_cl1865, zip_derived_cl1865])).
% 2.95/1.03 thf(zip_derived_cl1844, plain,
% 2.95/1.03 (((multiply @ sk_c1 @ sk_c6) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1842])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl1921, plain, (((multiply @ sk_c1 @ sk_c6) = (sk_c1))),
% 2.95/1.03 inference('demod', [status(thm)],
% 2.95/1.03 [zip_derived_cl1844, zip_derived_cl1865])).
% 2.95/1.03 thf(zip_derived_cl101, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.95/1.03 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl0])).
% 2.95/1.03 thf(zip_derived_cl1957, plain,
% 2.95/1.03 (((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c1))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl1921, zip_derived_cl101])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl1960, plain, (((sk_c6) = (multiply @ sk_c1 @ sk_c1))),
% 2.95/1.03 inference('demod', [status(thm)],
% 2.95/1.03 [zip_derived_cl1957, zip_derived_cl1865])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl1, plain,
% 2.95/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.95/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 2.95/1.03 thf(zip_derived_cl1922, plain, (((multiply @ sk_c1 @ sk_c1) = (identity))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl1865, zip_derived_cl1])).
% 2.95/1.03 thf(zip_derived_cl1966, plain, (((sk_c6) = (identity))),
% 2.95/1.03 inference('demod', [status(thm)],
% 2.95/1.03 [zip_derived_cl1960, zip_derived_cl1922])).
% 2.95/1.03 thf(zip_derived_cl1975, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.95/1.03 (((X0) != (sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (sk_c1))
% 2.95/1.03 | ((inverse @ X1) != (sk_c1))
% 2.95/1.03 | ((multiply @ X1 @ sk_c1) != (identity))
% 2.95/1.03 | ((multiply @ X2 @ sk_c1) != (identity))
% 2.95/1.03 | ((identity) != (identity))
% 2.95/1.03 | ((X3) != (sk_c1))
% 2.95/1.03 | ((inverse @ X3) != (sk_c1)))),
% 2.95/1.03 inference('demod', [status(thm)],
% 2.95/1.03 [zip_derived_cl1901, zip_derived_cl1966])).
% 2.95/1.03 thf(zip_derived_cl1976, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.95/1.03 (((inverse @ X3) != (sk_c1))
% 2.95/1.03 | ((X3) != (sk_c1))
% 2.95/1.03 | ((multiply @ X2 @ sk_c1) != (identity))
% 2.95/1.03 | ((multiply @ X1 @ sk_c1) != (identity))
% 2.95/1.03 | ((inverse @ X1) != (sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (sk_c1))
% 2.95/1.03 | ((X0) != (sk_c1)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1975])).
% 2.95/1.03 thf(zip_derived_cl1993, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.95/1.03 (((X0) != (sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (sk_c1))
% 2.95/1.03 | ((inverse @ X1) != (sk_c1))
% 2.95/1.03 | ((multiply @ X1 @ sk_c1) != (identity))
% 2.95/1.03 | ((multiply @ X2 @ sk_c1) != (identity))
% 2.95/1.03 | ((inverse @ sk_c1) != (sk_c1)))),
% 2.95/1.03 inference('eq_res', [status(thm)], [zip_derived_cl1976])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl1994, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.95/1.03 (((X0) != (sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (sk_c1))
% 2.95/1.03 | ((inverse @ X1) != (sk_c1))
% 2.95/1.03 | ((multiply @ X1 @ sk_c1) != (identity))
% 2.95/1.03 | ((multiply @ X2 @ sk_c1) != (identity))
% 2.95/1.03 | ((sk_c1) != (sk_c1)))),
% 2.95/1.03 inference('demod', [status(thm)],
% 2.95/1.03 [zip_derived_cl1993, zip_derived_cl1865])).
% 2.95/1.03 thf(zip_derived_cl1995, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.95/1.03 (((multiply @ X2 @ sk_c1) != (identity))
% 2.95/1.03 | ((multiply @ X1 @ sk_c1) != (identity))
% 2.95/1.03 | ((inverse @ X1) != (sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (sk_c1))
% 2.95/1.03 | ((X0) != (sk_c1)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1994])).
% 2.95/1.03 thf(zip_derived_cl1996, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 (((inverse @ sk_c1) != (sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (sk_c1))
% 2.95/1.03 | ((multiply @ X0 @ sk_c1) != (identity))
% 2.95/1.03 | ((multiply @ X1 @ sk_c1) != (identity)))),
% 2.95/1.03 inference('eq_res', [status(thm)], [zip_derived_cl1995])).
% 2.95/1.03 thf(zip_derived_cl1865, plain, (((sk_c1) = (inverse @ sk_c1))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1864])).
% 2.95/1.03 thf(zip_derived_cl1997, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 (((sk_c1) != (sk_c1))
% 2.95/1.03 | ((inverse @ X0) != (sk_c1))
% 2.95/1.03 | ((multiply @ X0 @ sk_c1) != (identity))
% 2.95/1.03 | ((multiply @ X1 @ sk_c1) != (identity)))),
% 2.95/1.03 inference('demod', [status(thm)],
% 2.95/1.03 [zip_derived_cl1996, zip_derived_cl1865])).
% 2.95/1.03 thf(zip_derived_cl1998, plain,
% 2.95/1.03 (![X0 : $i, X1 : $i]:
% 2.95/1.03 (((multiply @ X1 @ sk_c1) != (identity))
% 2.95/1.03 | ((multiply @ X0 @ sk_c1) != (identity))
% 2.95/1.03 | ((inverse @ X0) != (sk_c1)))),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl1997])).
% 2.95/1.03 thf(zip_derived_cl1999, plain,
% 2.95/1.03 (![X0 : $i]:
% 2.95/1.03 (((inverse @ X0) != (sk_c1)) | ((multiply @ X0 @ sk_c1) != (identity)))),
% 2.95/1.03 inference('condensation', [status(thm)], [zip_derived_cl1998])).
% 2.95/1.03 thf(zip_derived_cl2001, plain,
% 2.95/1.03 ((((sk_c1) != (sk_c1)) | ((multiply @ sk_c1 @ sk_c1) != (identity)))),
% 2.95/1.03 inference('sup-', [status(thm)], [zip_derived_cl1865, zip_derived_cl1999])).
% 2.95/1.03 thf(zip_derived_cl1922, plain, (((multiply @ sk_c1 @ sk_c1) = (identity))),
% 2.95/1.03 inference('sup+', [status(thm)], [zip_derived_cl1865, zip_derived_cl1])).
% 2.95/1.03 thf(zip_derived_cl2002, plain,
% 2.95/1.03 ((((sk_c1) != (sk_c1)) | ((identity) != (identity)))),
% 2.95/1.03 inference('demod', [status(thm)],
% 2.95/1.03 [zip_derived_cl2001, zip_derived_cl1922])).
% 2.95/1.03 thf(zip_derived_cl2003, plain, ($false),
% 2.95/1.03 inference('simplify', [status(thm)], [zip_derived_cl2002])).
% 2.95/1.03
% 2.95/1.03 % SZS output end Refutation
% 2.95/1.03
% 2.95/1.03
% 2.95/1.03 % Terminating...
% 3.20/1.14 % Runner terminated.
% 3.20/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------