TSTP Solution File: GRP215-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP215-1 : 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.Zp7U0ZWOXb true
% Computer : n023.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 01:50:45 EDT 2023
% Result : Unsatisfiable 0.54s 0.96s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP215-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zp7U0ZWOXb true
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 21:12:40 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
% 0.13/0.34 % Running in FO mode
% 0.52/0.62 % Total configuration time : 435
% 0.52/0.62 % Estimated wc time : 1092
% 0.52/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.96 % Solved by fo/fo7.sh.
% 0.54/0.96 % done 339 iterations in 0.200s
% 0.54/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.96 % SZS output start Refutation
% 0.54/0.96 thf(sk_c2_type, type, sk_c2: $i).
% 0.54/0.96 thf(sk_c6_type, type, sk_c6: $i).
% 0.54/0.96 thf(sk_c4_type, type, sk_c4: $i).
% 0.54/0.96 thf(sk_c5_type, type, sk_c5: $i).
% 0.54/0.96 thf(identity_type, type, identity: $i).
% 0.54/0.96 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.96 thf(sk_c7_type, type, sk_c7: $i).
% 0.54/0.96 thf(inverse_type, type, inverse: $i > $i).
% 0.54/0.96 thf(sk_c3_type, type, sk_c3: $i).
% 0.54/0.96 thf(sk_c1_type, type, sk_c1: $i).
% 0.54/0.96 thf(prove_this_6, conjecture,
% 0.54/0.96 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/0.96 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.96 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.54/0.96 thf(zip_derived_cl8, plain,
% 0.54/0.96 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.96 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl31, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.54/0.96 thf(prove_this_18, conjecture,
% 0.54/0.96 (~( ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.54/0.96 thf(zf_stmt_1, negated_conjecture,
% 0.54/0.96 (( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.54/0.96 thf(zip_derived_cl20, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl45, plain,
% 0.54/0.96 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.54/0.96 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(associativity, axiom,
% 0.54/0.96 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.54/0.96 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.54/0.96 thf(zip_derived_cl2, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.96 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.96 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.96 thf(zip_derived_cl142, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((multiply @ identity @ X0)
% 0.54/0.96 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.54/0.96 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl232, plain,
% 0.54/0.96 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.54/0.96 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl164])).
% 0.54/0.96 thf(prove_this_13, conjecture,
% 0.54/0.96 (~( ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.54/0.96 thf(zf_stmt_2, negated_conjecture,
% 0.54/0.96 (( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.54/0.96 thf(zip_derived_cl15, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.96 thf(zip_derived_cl1838, plain,
% 0.54/0.96 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.54/0.96 = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl15])).
% 0.54/0.96 thf(zip_derived_cl2, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.96 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.96 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl1855, plain,
% 0.54/0.96 ((((identity) = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl1838, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.96 zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl1856, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl1855])).
% 0.54/0.96 thf(prove_this_20, conjecture,
% 0.54/0.96 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.54/0.96 thf(zf_stmt_3, negated_conjecture,
% 0.54/0.96 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.54/0.96 thf(zip_derived_cl22, plain,
% 0.54/0.96 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl39, plain,
% 0.54/0.96 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.54/0.96 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl230, plain,
% 0.54/0.96 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.54/0.96 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl164])).
% 0.54/0.96 thf(prove_this_15, conjecture,
% 0.54/0.96 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.54/0.96 thf(zf_stmt_4, negated_conjecture,
% 0.54/0.96 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.54/0.96 thf(zip_derived_cl17, plain,
% 0.54/0.96 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/0.96 thf(zip_derived_cl385, plain,
% 0.54/0.96 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.54/0.96 = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c4) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl17])).
% 0.54/0.96 thf(zip_derived_cl2, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.96 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.96 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl402, plain,
% 0.54/0.96 ((((identity) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c4) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c4) = (sk_c7)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl385, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.96 zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl403, plain,
% 0.54/0.96 ((((inverse @ sk_c4) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl402])).
% 0.54/0.96 thf(zip_derived_cl8, plain,
% 0.54/0.96 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.96 thf(prove_this_7, conjecture,
% 0.54/0.96 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/0.96 thf(zf_stmt_5, negated_conjecture,
% 0.54/0.96 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.54/0.96 thf(zip_derived_cl9, plain,
% 0.54/0.96 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl235, plain,
% 0.54/0.96 ((((sk_c6) = (multiply @ (inverse @ sk_c3) @ sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl164])).
% 0.54/0.96 thf(zip_derived_cl501, plain,
% 0.54/0.96 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl235])).
% 0.54/0.96 thf(zip_derived_cl506, plain,
% 0.54/0.96 ((((inverse @ sk_c1) = (sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl501])).
% 0.54/0.96 thf(prove_this_10, conjecture,
% 0.54/0.96 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/0.96 thf(zf_stmt_6, negated_conjecture,
% 0.54/0.96 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.54/0.96 thf(zip_derived_cl12, plain,
% 0.54/0.96 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl32, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ sk_c4) = (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl224, plain,
% 0.54/0.96 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl164])).
% 0.54/0.96 thf(prove_this_9, conjecture,
% 0.54/0.96 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/0.96 thf(zf_stmt_7, negated_conjecture,
% 0.54/0.96 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.54/0.96 thf(zip_derived_cl11, plain,
% 0.54/0.96 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/0.96 thf(zip_derived_cl274, plain,
% 0.54/0.96 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/0.96 = (sk_c5))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl11])).
% 0.54/0.96 thf(zip_derived_cl2, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.96 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.96 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl281, plain,
% 0.54/0.96 ((((identity) = (sk_c5))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl274, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.96 zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl282, plain,
% 0.54/0.96 ((((inverse @ sk_c1) = (sk_c7)) | ((identity) = (sk_c5)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl281])).
% 0.54/0.96 thf(prove_this_8, conjecture,
% 0.54/0.96 (~( ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/0.96 thf(zf_stmt_8, negated_conjecture,
% 0.54/0.96 (( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.54/0.96 thf(zip_derived_cl10, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.54/0.96 thf(zip_derived_cl286, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl282, zip_derived_cl10])).
% 0.54/0.96 thf(zip_derived_cl288, plain,
% 0.54/0.96 ((((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl286])).
% 0.54/0.96 thf(zip_derived_cl528, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ identity) = (multiply @ sk_c7 @ sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl506, zip_derived_cl288])).
% 0.54/0.96 thf(zip_derived_cl536, plain,
% 0.54/0.96 ((((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c7 @ identity) = (multiply @ sk_c7 @ sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl528])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl707, plain,
% 0.54/0.96 ((((sk_c7)
% 0.54/0.96 = (multiply @ (inverse @ sk_c7) @ (multiply @ sk_c7 @ identity)))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl536, zip_derived_cl164])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl710, plain,
% 0.54/0.96 ((((sk_c7) = (identity)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl707, zip_derived_cl164])).
% 0.54/0.96 thf(prove_this_19, conjecture,
% 0.54/0.96 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.54/0.96 thf(zf_stmt_9, negated_conjecture,
% 0.54/0.96 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.54/0.96 thf(zip_derived_cl21, plain,
% 0.54/0.96 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl48, plain,
% 0.54/0.96 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.54/0.96 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl233, plain,
% 0.54/0.96 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.54/0.96 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl164])).
% 0.54/0.96 thf(prove_this_14, conjecture,
% 0.54/0.96 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.54/0.96 thf(zf_stmt_10, negated_conjecture,
% 0.54/0.96 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.54/0.96 thf(zip_derived_cl16, plain,
% 0.54/0.96 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.54/0.96 | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.54/0.96 thf(zip_derived_cl586, plain,
% 0.54/0.96 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.54/0.96 = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.54/0.96 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl233, zip_derived_cl16])).
% 0.54/0.96 thf(zip_derived_cl2, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.96 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.96 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl603, plain,
% 0.54/0.96 ((((identity) = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.54/0.96 | ((multiply @ sk_c4 @ sk_c7) = (sk_c5)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl586, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.96 zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl604, plain,
% 0.54/0.96 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl603])).
% 0.54/0.96 thf(zip_derived_cl733, plain,
% 0.54/0.96 ((((multiply @ sk_c4 @ (inverse @ sk_c1)) = (sk_c5))
% 0.54/0.96 | ((sk_c7) = (identity))
% 0.54/0.96 | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl710, zip_derived_cl604])).
% 0.54/0.96 thf(zip_derived_cl743, plain,
% 0.54/0.96 ((((sk_c7) = (identity))
% 0.54/0.96 | ((multiply @ sk_c4 @ (inverse @ sk_c1)) = (sk_c5)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl733])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl747, plain,
% 0.54/0.96 ((((inverse @ sk_c1) = (multiply @ (inverse @ sk_c4) @ sk_c5))
% 0.54/0.96 | ((sk_c7) = (identity)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl164])).
% 0.54/0.96 thf(zip_derived_cl1190, plain,
% 0.54/0.96 ((((inverse @ sk_c1) = (multiply @ sk_c7 @ sk_c5))
% 0.54/0.96 | ((identity) = (sk_c7))
% 0.54/0.96 | ((sk_c7) = (identity)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl403, zip_derived_cl747])).
% 0.54/0.96 thf(zip_derived_cl1199, plain,
% 0.54/0.96 ((((identity) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (multiply @ sk_c7 @ sk_c5)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl1190])).
% 0.54/0.96 thf(zip_derived_cl1866, plain,
% 0.54/0.96 ((((inverse @ sk_c1) = (sk_c6))
% 0.54/0.96 | ((identity) = (sk_c7))
% 0.54/0.96 | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl1856, zip_derived_cl1199])).
% 0.54/0.96 thf(zip_derived_cl1888, plain,
% 0.54/0.96 ((((identity) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c6)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl1866])).
% 0.54/0.96 thf(zip_derived_cl710, plain,
% 0.54/0.96 ((((sk_c7) = (identity)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl707, zip_derived_cl164])).
% 0.54/0.96 thf(prove_this_16, conjecture,
% 0.54/0.96 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.54/0.96 thf(zf_stmt_11, negated_conjecture,
% 0.54/0.96 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.54/0.96 thf(zip_derived_cl18, plain,
% 0.54/0.96 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl36, plain,
% 0.54/0.96 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.54/0.96 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl229, plain,
% 0.54/0.96 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.54/0.96 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl164])).
% 0.54/0.96 thf(prove_this_11, conjecture,
% 0.54/0.96 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.54/0.96 thf(zf_stmt_12, negated_conjecture,
% 0.54/0.96 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.54/0.96 thf(zip_derived_cl13, plain,
% 0.54/0.96 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.54/0.96 thf(zip_derived_cl337, plain,
% 0.54/0.96 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.54/0.96 = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c3) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl229, zip_derived_cl13])).
% 0.54/0.96 thf(zip_derived_cl2, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.96 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.96 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl354, plain,
% 0.54/0.96 ((((identity) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c3) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl337, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.96 zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl355, plain,
% 0.54/0.96 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl354])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl365, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl355, zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl728, plain,
% 0.54/0.96 ((((multiply @ (inverse @ sk_c1) @ sk_c3) = (identity))
% 0.54/0.96 | ((sk_c7) = (identity))
% 0.54/0.96 | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl710, zip_derived_cl365])).
% 0.54/0.96 thf(zip_derived_cl740, plain,
% 0.54/0.96 ((((sk_c7) = (identity))
% 0.54/0.96 | ((multiply @ (inverse @ sk_c1) @ sk_c3) = (identity)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl728])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl863, plain,
% 0.54/0.96 ((((sk_c3) = (multiply @ (inverse @ (inverse @ sk_c1)) @ identity))
% 0.54/0.96 | ((sk_c7) = (identity)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl740, zip_derived_cl164])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl217, plain,
% 0.54/0.96 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl164])).
% 0.54/0.96 thf(zip_derived_cl869, plain,
% 0.54/0.96 ((((sk_c3) = (sk_c1)) | ((sk_c7) = (identity)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl863, zip_derived_cl217])).
% 0.54/0.96 thf(prove_this_17, conjecture,
% 0.54/0.96 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.54/0.96 thf(zf_stmt_13, negated_conjecture,
% 0.54/0.96 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.54/0.96 thf(zip_derived_cl19, plain,
% 0.54/0.96 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl42, plain,
% 0.54/0.96 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl231, plain,
% 0.54/0.96 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl164])).
% 0.54/0.96 thf(prove_this_12, conjecture,
% 0.54/0.96 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.54/0.96 thf(zf_stmt_14, negated_conjecture,
% 0.54/0.96 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.54/0.96 thf(zip_derived_cl14, plain,
% 0.54/0.96 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c2 @ sk_c6) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.54/0.96 thf(zip_derived_cl1417, plain,
% 0.54/0.96 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.54/0.96 = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl14])).
% 0.54/0.96 thf(zip_derived_cl2, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.96 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.96 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl1434, plain,
% 0.54/0.96 ((((identity) = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl1417, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.96 zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl1435, plain,
% 0.54/0.96 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl1434])).
% 0.54/0.96 thf(zip_derived_cl1452, plain,
% 0.54/0.96 ((((multiply @ sk_c1 @ sk_c6) = (sk_c7))
% 0.54/0.96 | ((sk_c7) = (identity))
% 0.54/0.96 | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl869, zip_derived_cl1435])).
% 0.54/0.96 thf(zip_derived_cl1455, plain,
% 0.54/0.96 ((((sk_c7) = (identity)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl1452])).
% 0.54/0.96 thf(zip_derived_cl1915, plain,
% 0.54/0.96 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c7))
% 0.54/0.96 | ((identity) = (sk_c7))
% 0.54/0.96 | ((sk_c7) = (identity)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl1888, zip_derived_cl1455])).
% 0.54/0.96 thf(zip_derived_cl1929, plain,
% 0.54/0.96 ((((identity) = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl1915])).
% 0.54/0.96 thf(zip_derived_cl2114, plain,
% 0.54/0.96 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) != (identity))
% 0.54/0.96 | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('eq_fact', [status(thm)], [zip_derived_cl1929])).
% 0.54/0.96 thf(zip_derived_cl710, plain,
% 0.54/0.96 ((((sk_c7) = (identity)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl707, zip_derived_cl164])).
% 0.54/0.96 thf(zip_derived_cl403, plain,
% 0.54/0.96 ((((inverse @ sk_c4) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl402])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl409, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ sk_c4) = (identity)) | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl403, zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl729, plain,
% 0.54/0.96 ((((multiply @ (inverse @ sk_c1) @ sk_c4) = (identity))
% 0.54/0.96 | ((sk_c7) = (identity))
% 0.54/0.96 | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl710, zip_derived_cl409])).
% 0.54/0.96 thf(zip_derived_cl741, plain,
% 0.54/0.96 ((((sk_c7) = (identity))
% 0.54/0.96 | ((multiply @ (inverse @ sk_c1) @ sk_c4) = (identity)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl729])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl895, plain,
% 0.54/0.96 ((((sk_c4) = (multiply @ (inverse @ (inverse @ sk_c1)) @ identity))
% 0.54/0.96 | ((sk_c7) = (identity)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl741, zip_derived_cl164])).
% 0.54/0.96 thf(zip_derived_cl217, plain,
% 0.54/0.96 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl164])).
% 0.54/0.96 thf(zip_derived_cl901, plain,
% 0.54/0.96 ((((sk_c4) = (sk_c1)) | ((sk_c7) = (identity)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl895, zip_derived_cl217])).
% 0.54/0.96 thf(zip_derived_cl743, plain,
% 0.54/0.96 ((((sk_c7) = (identity))
% 0.54/0.96 | ((multiply @ sk_c4 @ (inverse @ sk_c1)) = (sk_c5)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl733])).
% 0.54/0.96 thf(zip_derived_cl922, plain,
% 0.54/0.96 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c5))
% 0.54/0.96 | ((sk_c7) = (identity))
% 0.54/0.96 | ((sk_c7) = (identity)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl901, zip_derived_cl743])).
% 0.54/0.96 thf(zip_derived_cl931, plain,
% 0.54/0.96 ((((sk_c7) = (identity))
% 0.54/0.96 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c5)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl922])).
% 0.54/0.96 thf(zip_derived_cl403, plain,
% 0.54/0.96 ((((inverse @ sk_c4) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl402])).
% 0.54/0.96 thf(zip_derived_cl217, plain,
% 0.54/0.96 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl164])).
% 0.54/0.96 thf(zip_derived_cl411, plain,
% 0.54/0.96 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.96 | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl403, zip_derived_cl217])).
% 0.54/0.96 thf(zip_derived_cl604, plain,
% 0.54/0.96 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl603])).
% 0.54/0.96 thf(zip_derived_cl690, plain,
% 0.54/0.96 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/0.96 = (sk_c5))
% 0.54/0.96 | ((identity) = (sk_c7))
% 0.54/0.96 | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl411, zip_derived_cl604])).
% 0.54/0.96 thf(zip_derived_cl2, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.96 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.96 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl693, plain,
% 0.54/0.96 ((((identity) = (sk_c5))
% 0.54/0.96 | ((identity) = (sk_c7))
% 0.54/0.96 | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl690, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.96 zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl694, plain,
% 0.54/0.96 ((((identity) = (sk_c7)) | ((identity) = (sk_c5)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl693])).
% 0.54/0.96 thf(zip_derived_cl1010, plain,
% 0.54/0.96 ((((identity) = (multiply @ sk_c1 @ (inverse @ sk_c1)))
% 0.54/0.96 | ((sk_c7) = (identity))
% 0.54/0.96 | ((identity) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl931, zip_derived_cl694])).
% 0.54/0.96 thf(zip_derived_cl1019, plain,
% 0.54/0.96 ((((sk_c7) = (identity))
% 0.54/0.96 | ((identity) = (multiply @ sk_c1 @ (inverse @ sk_c1))))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl1010])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl2171, plain,
% 0.54/0.96 ((((sk_c3) = (identity)) | ((inverse @ sk_c1) = (identity)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl31, zip_derived_cl2148, zip_derived_cl0,
% 0.54/0.96 zip_derived_cl2148])).
% 0.54/0.96 thf(zip_derived_cl8, plain,
% 0.54/0.96 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl2154, plain,
% 0.54/0.96 ((((inverse @ sk_c3) = (identity)) | ((inverse @ sk_c1) = (identity)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl8, zip_derived_cl2148, zip_derived_cl2148])).
% 0.54/0.96 thf(zip_derived_cl31, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl220, plain,
% 0.54/0.96 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl164])).
% 0.54/0.96 thf(zip_derived_cl288, plain,
% 0.54/0.96 ((((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl286])).
% 0.54/0.96 thf(zip_derived_cl8, plain,
% 0.54/0.96 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.96 thf(zip_derived_cl9, plain,
% 0.54/0.96 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/0.96 thf(zip_derived_cl8, plain,
% 0.54/0.96 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.96 thf(zip_derived_cl8, plain,
% 0.54/0.96 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.96 thf(prove_this_21, conjecture,
% 0.54/0.96 (~( ( ( inverse @ X5 ) != ( sk_c7 ) ) |
% 0.54/0.96 ( ( multiply @ X5 @ sk_c7 ) != ( X2 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c7 @ X2 ) != ( sk_c6 ) ) |
% 0.54/0.96 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.54/0.96 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.54/0.96 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 0.54/0.96 thf(zf_stmt_15, negated_conjecture,
% 0.54/0.96 (( ( inverse @ X5 ) != ( sk_c7 ) ) |
% 0.54/0.96 ( ( multiply @ X5 @ sk_c7 ) != ( X2 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c7 @ X2 ) != ( sk_c6 ) ) |
% 0.54/0.96 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ X1 ) != ( sk_c7 ) ) | ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.54/0.96 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.54/0.96 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.54/0.96 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.54/0.96 thf(zip_derived_cl23, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.96 (((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.54/0.96 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.54/0.96 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X2) != (sk_c7))
% 0.54/0.96 | ((inverse @ X3) != (sk_c6))
% 0.54/0.96 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X4) != (sk_c7))
% 0.54/0.96 | ((multiply @ X4 @ sk_c7) != (sk_c6)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.54/0.96 thf(zip_derived_cl24, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.96 (((sk_c7) != (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X1) != (sk_c6))
% 0.54/0.96 | ((inverse @ X2) != (sk_c7))
% 0.54/0.96 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c7) != (X3)))),
% 0.54/0.96 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl23])).
% 0.54/0.96 thf(zip_derived_cl25, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.96 (((multiply @ sk_c3 @ sk_c7) != (X3))
% 0.54/0.96 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 0.54/0.96 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X2) != (sk_c7))
% 0.54/0.96 | ((inverse @ X1) != (sk_c6))
% 0.54/0.96 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl24])).
% 0.54/0.96 thf(zip_derived_cl52, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 (((sk_c7) != (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X1) != (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c7 @ X2) != (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c7) != (X2)))),
% 0.54/0.96 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl25])).
% 0.54/0.96 thf(zip_derived_cl61, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 (((multiply @ sk_c3 @ sk_c7) != (X2))
% 0.54/0.96 | ((multiply @ sk_c7 @ X2) != (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X1) != (sk_c6))
% 0.54/0.96 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl52])).
% 0.54/0.96 thf(zip_derived_cl70, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 (((sk_c7) != (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X1) != (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c7 @ X2) != (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c7) != (X2)))),
% 0.54/0.96 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl61])).
% 0.54/0.96 thf(zip_derived_cl72, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 (((multiply @ sk_c3 @ sk_c7) != (X2))
% 0.54/0.96 | ((multiply @ sk_c7 @ X2) != (sk_c6))
% 0.54/0.96 | ((inverse @ X1) != (sk_c6))
% 0.54/0.96 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl70])).
% 0.54/0.96 thf(zip_derived_cl74, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((sk_c7) != (sk_c6))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c7) != (X1)))),
% 0.54/0.96 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl72])).
% 0.54/0.96 thf(zip_derived_cl84, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((multiply @ sk_c3 @ sk_c7) != (X1))
% 0.54/0.96 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((sk_c7) != (sk_c6)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl74])).
% 0.54/0.96 thf(zip_derived_cl85, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((multiply @ sk_c3 @ sk_c7) != (X1))
% 0.54/0.96 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c7) != (sk_c7))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((sk_c7) != (sk_c6)))),
% 0.54/0.96 inference('local_rewriting', [status(thm)], [zip_derived_cl84])).
% 0.54/0.96 thf(zip_derived_cl86, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((sk_c7) != (X1))
% 0.54/0.96 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c7) != (sk_c7))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((sk_c7) != (sk_c6)))),
% 0.54/0.96 inference('local_rewriting', [status(thm)], [zip_derived_cl85])).
% 0.54/0.96 thf(zip_derived_cl303, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((sk_c7) != (multiply @ sk_c7 @ identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c7) != (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.54/0.96 | ((sk_c7) != (X1)))),
% 0.54/0.96 inference('sup-', [status(thm)], [zip_derived_cl288, zip_derived_cl86])).
% 0.54/0.96 thf(zip_derived_cl312, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((sk_c7) != (X1))
% 0.54/0.96 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c3 @ sk_c7) != (sk_c7))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((sk_c7) != (multiply @ sk_c7 @ identity)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl303])).
% 0.54/0.96 thf(zip_derived_cl317, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/0.96 != (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((sk_c7) != (multiply @ sk_c7 @ identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.54/0.96 | ((sk_c7) != (X1)))),
% 0.54/0.96 inference('sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl312])).
% 0.54/0.96 thf(zip_derived_cl2, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.96 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.96 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl318, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((identity) != (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((sk_c7) != (multiply @ sk_c7 @ identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.54/0.96 | ((sk_c7) != (X1)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl317, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.96 zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl319, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((sk_c7) != (X1))
% 0.54/0.96 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.54/0.96 | ((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (sk_c7))
% 0.54/0.96 | ((sk_c7) != (multiply @ sk_c7 @ identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (sk_c7))
% 0.54/0.96 | ((identity) != (sk_c7)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl318])).
% 0.54/0.96 thf(zip_derived_cl320, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((identity) != (X1))
% 0.54/0.96 | ((multiply @ identity @ X1) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((identity) != (multiply @ identity @ identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (identity))
% 0.54/0.96 | ((identity) != (sk_c7)))),
% 0.54/0.96 inference('local_rewriting', [status(thm)], [zip_derived_cl319])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl321, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((identity) != (X1))
% 0.54/0.96 | ((X1) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((identity) != (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (identity))
% 0.54/0.96 | ((identity) != (sk_c7)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl320, zip_derived_cl0, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl322, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((identity) != (sk_c7))
% 0.54/0.96 | ((inverse @ sk_c1) = (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((identity) != (X1)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl321])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl2215, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((identity) != (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((identity) != (X1)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl322, zip_derived_cl2148])).
% 0.54/0.96 thf(zip_derived_cl2216, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((identity) != (X1))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (identity)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2215])).
% 0.54/0.96 thf(zip_derived_cl2270, plain,
% 0.54/0.96 (![X0 : $i]:
% 0.54/0.96 (((inverse @ sk_c1) = (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity)))),
% 0.54/0.96 inference('eq_res', [status(thm)], [zip_derived_cl2216])).
% 0.54/0.96 thf(zip_derived_cl2354, plain,
% 0.54/0.96 ((((identity) != (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (identity))
% 0.54/0.96 | ((multiply @ sk_c3 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (identity)))),
% 0.54/0.96 inference('sup-', [status(thm)], [zip_derived_cl2154, zip_derived_cl2270])).
% 0.54/0.96 thf(zip_derived_cl2362, plain,
% 0.54/0.96 ((((multiply @ sk_c3 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (identity)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2354])).
% 0.54/0.96 thf(zip_derived_cl2394, plain,
% 0.54/0.96 ((((multiply @ identity @ identity) != (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (identity)))),
% 0.54/0.96 inference('sup-', [status(thm)], [zip_derived_cl2171, zip_derived_cl2362])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl2398, plain,
% 0.54/0.96 ((((identity) != (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (identity))
% 0.54/0.96 | ((inverse @ sk_c1) = (identity)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl2394, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl2399, plain, (((inverse @ sk_c1) = (identity))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2398])).
% 0.54/0.96 thf(zip_derived_cl2399, plain, (((inverse @ sk_c1) = (identity))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2398])).
% 0.54/0.96 thf(zip_derived_cl217, plain,
% 0.54/0.96 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl164])).
% 0.54/0.96 thf(zip_derived_cl2403, plain,
% 0.54/0.96 (((sk_c1) = (multiply @ (inverse @ identity) @ identity))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl2399, zip_derived_cl217])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl216, plain,
% 0.54/0.96 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl164])).
% 0.54/0.96 thf(zip_derived_cl2406, plain, (((sk_c1) = (identity))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl2403, zip_derived_cl216])).
% 0.54/0.96 thf(zip_derived_cl2419, plain, (((inverse @ identity) = (identity))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl2399, zip_derived_cl2406])).
% 0.54/0.96 thf(zip_derived_cl2419, plain, (((inverse @ identity) = (identity))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl2399, zip_derived_cl2406])).
% 0.54/0.96 thf(zip_derived_cl2419, plain, (((inverse @ identity) = (identity))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl2399, zip_derived_cl2406])).
% 0.54/0.96 thf(zip_derived_cl2419, plain, (((inverse @ identity) = (identity))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl2399, zip_derived_cl2406])).
% 0.54/0.96 thf(zip_derived_cl23, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.96 (((inverse @ X0) != (sk_c7))
% 0.54/0.96 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.54/0.96 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 0.54/0.96 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X2) != (sk_c7))
% 0.54/0.96 | ((inverse @ X3) != (sk_c6))
% 0.54/0.96 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.54/0.96 | ((inverse @ X4) != (sk_c7))
% 0.54/0.96 | ((multiply @ X4 @ sk_c7) != (sk_c6)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl2169, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.96 (((inverse @ X0) != (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (X1))
% 0.54/0.96 | ((X1) != (sk_c6))
% 0.54/0.96 | ((multiply @ X2 @ sk_c6) != (identity))
% 0.54/0.96 | ((inverse @ X2) != (identity))
% 0.54/0.96 | ((inverse @ X3) != (sk_c6))
% 0.54/0.96 | ((multiply @ X3 @ sk_c6) != (identity))
% 0.54/0.96 | ((inverse @ X4) != (identity))
% 0.54/0.96 | ((multiply @ X4 @ identity) != (sk_c6)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl23, zip_derived_cl2148, zip_derived_cl2148,
% 0.54/0.96 zip_derived_cl2148, zip_derived_cl0, zip_derived_cl2148,
% 0.54/0.96 zip_derived_cl2148, zip_derived_cl2148, zip_derived_cl2148,
% 0.54/0.96 zip_derived_cl2148])).
% 0.54/0.96 thf(zip_derived_cl2285, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.96 (((multiply @ X0 @ identity) != (sk_c6))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.54/0.96 | ((inverse @ X1) != (sk_c6))
% 0.54/0.96 | ((inverse @ X2) != (identity))
% 0.54/0.96 | ((multiply @ X2 @ sk_c6) != (identity))
% 0.54/0.96 | ((multiply @ X3 @ identity) != (sk_c6))
% 0.54/0.96 | ((inverse @ X3) != (identity)))),
% 0.54/0.96 inference('eq_res', [status(thm)], [zip_derived_cl2169])).
% 0.54/0.96 thf(prove_this_5, conjecture,
% 0.54/0.96 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.96 thf(zf_stmt_16, negated_conjecture,
% 0.54/0.96 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.54/0.96 thf(zip_derived_cl7, plain,
% 0.54/0.96 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl33, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ sk_c4) = (identity))
% 0.54/0.96 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl164, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl225, plain,
% 0.54/0.96 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.96 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl164])).
% 0.54/0.96 thf(prove_this_4, conjecture,
% 0.54/0.96 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.96 thf(zf_stmt_17, negated_conjecture,
% 0.54/0.96 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.54/0.96 thf(zip_derived_cl6, plain,
% 0.54/0.96 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 0.54/0.96 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.54/0.96 thf(zip_derived_cl554, plain,
% 0.54/0.96 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/0.96 = (sk_c5))
% 0.54/0.96 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl6])).
% 0.54/0.96 thf(zip_derived_cl2, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.96 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.96 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl1, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.96 thf(zip_derived_cl566, plain,
% 0.54/0.96 ((((identity) = (sk_c5))
% 0.54/0.96 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl554, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.96 zip_derived_cl1])).
% 0.54/0.96 thf(zip_derived_cl567, plain,
% 0.54/0.96 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl566])).
% 0.54/0.96 thf(prove_this_3, conjecture,
% 0.54/0.96 (~( ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.96 thf(zf_stmt_18, negated_conjecture,
% 0.54/0.96 (( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.96 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.96 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.54/0.96 thf(zip_derived_cl5, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ sk_c5) = (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.96 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.54/0.96 thf(zip_derived_cl575, plain,
% 0.54/0.96 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.96 inference('sup+', [status(thm)], [zip_derived_cl567, zip_derived_cl5])).
% 0.54/0.96 thf(zip_derived_cl580, plain,
% 0.54/0.96 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 0.54/0.96 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl575])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl2148, plain, (((identity) = (sk_c7))),
% 0.54/0.96 inference('clc', [status(thm)], [zip_derived_cl2114, zip_derived_cl1019])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl2231, plain,
% 0.54/0.96 ((((multiply @ sk_c1 @ identity) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl580, zip_derived_cl2148, zip_derived_cl2148,
% 0.54/0.96 zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl2406, plain, (((sk_c1) = (identity))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl2403, zip_derived_cl216])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl2415, plain,
% 0.54/0.96 ((((identity) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl2231, zip_derived_cl2406, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl2416, plain, (((identity) = (sk_c6))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2415])).
% 0.54/0.96 thf(zip_derived_cl2416, plain, (((identity) = (sk_c6))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2415])).
% 0.54/0.96 thf(zip_derived_cl2416, plain, (((identity) = (sk_c6))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2415])).
% 0.54/0.96 thf(zip_derived_cl2416, plain, (((identity) = (sk_c6))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2415])).
% 0.54/0.96 thf(zip_derived_cl2416, plain, (((identity) = (sk_c6))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2415])).
% 0.54/0.96 thf(zip_derived_cl2426, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.96 (((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((multiply @ X1 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X1) != (identity))
% 0.54/0.96 | ((inverse @ X2) != (identity))
% 0.54/0.96 | ((multiply @ X2 @ identity) != (identity))
% 0.54/0.96 | ((multiply @ X3 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X3) != (identity)))),
% 0.54/0.96 inference('demod', [status(thm)],
% 0.54/0.96 [zip_derived_cl2285, zip_derived_cl2416, zip_derived_cl2416,
% 0.54/0.96 zip_derived_cl2416, zip_derived_cl2416, zip_derived_cl2416])).
% 0.54/0.96 thf(zip_derived_cl2454, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 (((identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((multiply @ X1 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X1) != (identity))
% 0.54/0.96 | ((inverse @ X2) != (identity))
% 0.54/0.96 | ((multiply @ X2 @ identity) != (identity))
% 0.54/0.96 | ((multiply @ identity @ identity) != (identity)))),
% 0.54/0.96 inference('sup-', [status(thm)], [zip_derived_cl2419, zip_derived_cl2426])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl2456, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 (((identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((multiply @ X1 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X1) != (identity))
% 0.54/0.96 | ((inverse @ X2) != (identity))
% 0.54/0.96 | ((multiply @ X2 @ identity) != (identity))
% 0.54/0.96 | ((identity) != (identity)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl2454, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl2457, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.96 (((multiply @ X2 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X2) != (identity))
% 0.54/0.96 | ((inverse @ X1) != (identity))
% 0.54/0.96 | ((multiply @ X1 @ identity) != (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2456])).
% 0.54/0.96 thf(zip_derived_cl2459, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((multiply @ X1 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X1) != (identity))
% 0.54/0.96 | ((multiply @ identity @ identity) != (identity)))),
% 0.54/0.96 inference('sup-', [status(thm)], [zip_derived_cl2419, zip_derived_cl2457])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl2461, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((multiply @ X1 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X1) != (identity))
% 0.54/0.96 | ((identity) != (identity)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl2459, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl2462, plain,
% 0.54/0.96 (![X0 : $i, X1 : $i]:
% 0.54/0.96 (((inverse @ X1) != (identity))
% 0.54/0.96 | ((multiply @ X1 @ identity) != (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2461])).
% 0.54/0.96 thf(zip_derived_cl2464, plain,
% 0.54/0.96 (![X0 : $i]:
% 0.54/0.96 (((identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((multiply @ identity @ identity) != (identity)))),
% 0.54/0.96 inference('sup-', [status(thm)], [zip_derived_cl2419, zip_derived_cl2462])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl2466, plain,
% 0.54/0.96 (![X0 : $i]:
% 0.54/0.96 (((identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity))
% 0.54/0.96 | ((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((identity) != (identity)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl2464, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl2467, plain,
% 0.54/0.96 (![X0 : $i]:
% 0.54/0.96 (((multiply @ X0 @ identity) != (identity))
% 0.54/0.96 | ((inverse @ X0) != (identity)))),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2466])).
% 0.54/0.96 thf(zip_derived_cl2469, plain,
% 0.54/0.96 ((((identity) != (identity))
% 0.54/0.96 | ((multiply @ identity @ identity) != (identity)))),
% 0.54/0.96 inference('sup-', [status(thm)], [zip_derived_cl2419, zip_derived_cl2467])).
% 0.54/0.96 thf(zip_derived_cl0, plain,
% 0.54/0.96 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.96 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.96 thf(zip_derived_cl2471, plain,
% 0.54/0.96 ((((identity) != (identity)) | ((identity) != (identity)))),
% 0.54/0.96 inference('demod', [status(thm)], [zip_derived_cl2469, zip_derived_cl0])).
% 0.54/0.96 thf(zip_derived_cl2472, plain, ($false),
% 0.54/0.96 inference('simplify', [status(thm)], [zip_derived_cl2471])).
% 0.54/0.96
% 0.54/0.96 % SZS output end Refutation
% 0.54/0.96
% 0.54/0.96
% 0.54/0.96 % Terminating...
% 0.59/1.06 % Runner terminated.
% 0.59/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------