TSTP Solution File: GRP388-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP388-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SlHWzdEjK5 true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:27 EDT 2023
% Result : Unsatisfiable 0.56s 0.99s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP388-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SlHWzdEjK5 true
% 0.13/0.34 % Computer : n029.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 : Tue Aug 29 00:56:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/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
% 0.44/0.62 % Total configuration time : 435
% 0.44/0.62 % Estimated wc time : 1092
% 0.44/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.99 % Solved by fo/fo7.sh.
% 0.56/0.99 % done 745 iterations in 0.221s
% 0.56/0.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.99 % SZS output start Refutation
% 0.56/0.99 thf(sk_c6_type, type, sk_c6: $i).
% 0.56/0.99 thf(sk_c8_type, type, sk_c8: $i).
% 0.56/0.99 thf(sk_c2_type, type, sk_c2: $i).
% 0.56/0.99 thf(sk_c5_type, type, sk_c5: $i).
% 0.56/0.99 thf(sk_c3_type, type, sk_c3: $i).
% 0.56/0.99 thf(identity_type, type, identity: $i).
% 0.56/0.99 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/0.99 thf(sk_c9_type, type, sk_c9: $i).
% 0.56/0.99 thf(inverse_type, type, inverse: $i > $i).
% 0.56/0.99 thf(sk_c4_type, type, sk_c4: $i).
% 0.56/0.99 thf(sk_c1_type, type, sk_c1: $i).
% 0.56/0.99 thf(sk_c10_type, type, sk_c10: $i).
% 0.56/0.99 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.56/0.99 thf(zip_derived_cl1, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.99 thf(prove_this_28, conjecture,
% 0.56/0.99 (~( ( ( inverse @ sk_c3 ) = ( sk_c10 ) ) |
% 0.56/0.99 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 0.56/0.99 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.99 (( ( inverse @ sk_c3 ) = ( sk_c10 ) ) |
% 0.56/0.99 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 0.56/0.99 thf(zip_derived_cl30, plain,
% 0.56/0.99 ((((inverse @ sk_c3) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.99 thf(zip_derived_cl1, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.99 thf(zip_derived_cl42, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ sk_c1) = (identity))
% 0.56/0.99 | ((inverse @ sk_c3) = (sk_c10)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 0.56/0.99 thf(zip_derived_cl1, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.99 thf(associativity, axiom,
% 0.56/0.99 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.56/0.99 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.56/0.99 thf(zip_derived_cl2, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.99 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.99 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.99 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.99 thf(zip_derived_cl69, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i]:
% 0.56/0.99 ((multiply @ identity @ X0)
% 0.56/0.99 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.56/0.99 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.56/0.99 thf(zip_derived_cl0, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.99 thf(zip_derived_cl84, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i]:
% 0.56/0.99 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 0.56/0.99 thf(zip_derived_cl100, plain,
% 0.56/0.99 ((((sk_c1) = (multiply @ (inverse @ sk_c10) @ identity))
% 0.56/0.99 | ((inverse @ sk_c3) = (sk_c10)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl84])).
% 0.56/0.99 thf(prove_this_20, conjecture,
% 0.56/0.99 (~( ( ( inverse @ sk_c3 ) = ( sk_c10 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) ) ))).
% 0.56/0.99 thf(zf_stmt_1, negated_conjecture,
% 0.56/0.99 (( ( inverse @ sk_c3 ) = ( sk_c10 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.56/0.99 thf(zip_derived_cl22, plain,
% 0.56/0.99 ((((inverse @ sk_c3) = (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c1 @ sk_c10) = (sk_c2)))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.99 thf(zip_derived_cl150, plain,
% 0.56/0.99 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 0.56/0.99 = (sk_c2))
% 0.56/0.99 | ((inverse @ sk_c3) = (sk_c10))
% 0.56/0.99 | ((inverse @ sk_c3) = (sk_c10)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl22])).
% 0.56/0.99 thf(zip_derived_cl2, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.99 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.99 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.99 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.99 thf(zip_derived_cl0, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.99 thf(zip_derived_cl1, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.99 thf(zip_derived_cl164, plain,
% 0.56/0.99 ((((identity) = (sk_c2))
% 0.56/0.99 | ((inverse @ sk_c3) = (sk_c10))
% 0.56/0.99 | ((inverse @ sk_c3) = (sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)],
% 0.56/0.99 [zip_derived_cl150, zip_derived_cl2, zip_derived_cl0,
% 0.56/0.99 zip_derived_cl1])).
% 0.56/0.99 thf(zip_derived_cl165, plain,
% 0.56/0.99 ((((inverse @ sk_c3) = (sk_c10)) | ((identity) = (sk_c2)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl164])).
% 0.56/0.99 thf(prove_this_12, conjecture,
% 0.56/0.99 (~( ( ( inverse @ sk_c3 ) = ( sk_c10 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) ) ))).
% 0.56/0.99 thf(zf_stmt_2, negated_conjecture,
% 0.56/0.99 (( ( inverse @ sk_c3 ) = ( sk_c10 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.56/0.99 thf(zip_derived_cl14, plain,
% 0.56/0.99 ((((inverse @ sk_c3) = (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c2) = (sk_c9)))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.99 thf(prove_this_1, conjecture, (( inverse @ sk_c10 ) != ( sk_c9 ))).
% 0.56/0.99 thf(zf_stmt_3, negated_conjecture, (( inverse @ sk_c10 ) = ( sk_c9 )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.56/0.99 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.99 thf(zip_derived_cl54, plain,
% 0.56/0.99 ((((inverse @ sk_c3) = (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c2) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl3])).
% 0.56/0.99 thf(zip_derived_cl170, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ identity) = (inverse @ sk_c10))
% 0.56/0.99 | ((inverse @ sk_c3) = (sk_c10))
% 0.56/0.99 | ((inverse @ sk_c3) = (sk_c10)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl165, zip_derived_cl54])).
% 0.56/0.99 thf(zip_derived_cl173, plain,
% 0.56/0.99 ((((inverse @ sk_c3) = (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ identity) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl170])).
% 0.56/0.99 thf(zip_derived_cl1, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.99 thf(zip_derived_cl84, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i]:
% 0.56/0.99 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 0.56/0.99 thf(zip_derived_cl93, plain,
% 0.56/0.99 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl84])).
% 0.56/0.99 thf(zip_derived_cl84, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i]:
% 0.56/0.99 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 0.56/0.99 thf(zip_derived_cl84, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i]:
% 0.56/0.99 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 0.56/0.99 thf(zip_derived_cl90, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i]:
% 0.56/0.99 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl84])).
% 0.56/0.99 thf(zip_derived_cl387, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 0.56/0.99 thf(zip_derived_cl408, plain,
% 0.56/0.99 ((((inverse @ sk_c3) = (sk_c10)) | ((sk_c10) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl387])).
% 0.56/0.99 thf(zip_derived_cl387, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 0.56/0.99 thf(zip_derived_cl93, plain,
% 0.56/0.99 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl84])).
% 0.56/0.99 thf(zip_derived_cl416, plain,
% 0.56/0.99 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl387, zip_derived_cl93])).
% 0.56/0.99 thf(zip_derived_cl568, plain,
% 0.56/0.99 ((((sk_c3) = (inverse @ sk_c10)) | ((sk_c10) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl408, zip_derived_cl416])).
% 0.56/0.99 thf(prove_this_27, conjecture,
% 0.56/0.99 (~( ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c4 ) ) |
% 0.56/0.99 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 0.56/0.99 thf(zf_stmt_4, negated_conjecture,
% 0.56/0.99 (( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c4 ) ) |
% 0.56/0.99 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 0.56/0.99 thf(zip_derived_cl29, plain,
% 0.56/0.99 ((((multiply @ sk_c3 @ sk_c10) = (sk_c4))
% 0.56/0.99 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.99 thf(zip_derived_cl416, plain,
% 0.56/0.99 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl387, zip_derived_cl93])).
% 0.56/0.99 thf(zip_derived_cl429, plain,
% 0.56/0.99 ((((sk_c1) = (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c3 @ sk_c10) = (sk_c4)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl416])).
% 0.56/0.99 thf(prove_this_19, conjecture,
% 0.56/0.99 (~( ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c4 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) ) ))).
% 0.56/0.99 thf(zf_stmt_5, negated_conjecture,
% 0.56/0.99 (( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c4 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.56/0.99 thf(zip_derived_cl21, plain,
% 0.56/0.99 ((((multiply @ sk_c3 @ sk_c10) = (sk_c4))
% 0.56/0.99 | ((multiply @ sk_c1 @ sk_c10) = (sk_c2)))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.99 thf(zip_derived_cl1073, plain,
% 0.56/0.99 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c2))
% 0.56/0.99 | ((multiply @ sk_c3 @ sk_c10) = (sk_c4))
% 0.56/0.99 | ((multiply @ sk_c3 @ sk_c10) = (sk_c4)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl429, zip_derived_cl21])).
% 0.56/0.99 thf(zip_derived_cl1, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.99 thf(zip_derived_cl1081, plain,
% 0.56/0.99 ((((identity) = (sk_c2))
% 0.56/0.99 | ((multiply @ sk_c3 @ sk_c10) = (sk_c4))
% 0.56/0.99 | ((multiply @ sk_c3 @ sk_c10) = (sk_c4)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl1073, zip_derived_cl1])).
% 0.56/0.99 thf(zip_derived_cl1082, plain,
% 0.56/0.99 ((((multiply @ sk_c3 @ sk_c10) = (sk_c4)) | ((identity) = (sk_c2)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1081])).
% 0.56/0.99 thf(prove_this_11, conjecture,
% 0.56/0.99 (~( ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c4 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) ) ))).
% 0.56/0.99 thf(zf_stmt_6, negated_conjecture,
% 0.56/0.99 (( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c4 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.56/0.99 thf(zip_derived_cl13, plain,
% 0.56/0.99 ((((multiply @ sk_c3 @ sk_c10) = (sk_c4))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c2) = (sk_c9)))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.56/0.99 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.99 thf(zip_derived_cl289, plain,
% 0.56/0.99 ((((multiply @ sk_c3 @ sk_c10) = (sk_c4))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c2) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl3])).
% 0.56/0.99 thf(zip_derived_cl1095, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ identity) = (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c3 @ sk_c10) = (sk_c4))
% 0.56/0.99 | ((multiply @ sk_c3 @ sk_c10) = (sk_c4)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl1082, zip_derived_cl289])).
% 0.56/0.99 thf(zip_derived_cl387, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 0.56/0.99 thf(zip_derived_cl1104, plain,
% 0.56/0.99 ((((sk_c10) = (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c3 @ sk_c10) = (sk_c4))
% 0.56/0.99 | ((multiply @ sk_c3 @ sk_c10) = (sk_c4)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl1095, zip_derived_cl387])).
% 0.56/0.99 thf(zip_derived_cl1105, plain,
% 0.56/0.99 ((((multiply @ sk_c3 @ sk_c10) = (sk_c4))
% 0.56/0.99 | ((sk_c10) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1104])).
% 0.56/0.99 thf(zip_derived_cl1175, plain,
% 0.56/0.99 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c4))
% 0.56/0.99 | ((sk_c10) = (inverse @ sk_c10))
% 0.56/0.99 | ((sk_c10) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl568, zip_derived_cl1105])).
% 0.56/0.99 thf(zip_derived_cl1, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.99 thf(zip_derived_cl1177, plain,
% 0.56/0.99 ((((identity) = (sk_c4))
% 0.56/0.99 | ((sk_c10) = (inverse @ sk_c10))
% 0.56/0.99 | ((sk_c10) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl1175, zip_derived_cl1])).
% 0.56/0.99 thf(zip_derived_cl1178, plain,
% 0.56/0.99 ((((sk_c10) = (inverse @ sk_c10)) | ((identity) = (sk_c4)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1177])).
% 0.56/0.99 thf(prove_this_26, conjecture,
% 0.56/0.99 (~( ( ( multiply @ sk_c10 @ sk_c4 ) = ( sk_c9 ) ) |
% 0.56/0.99 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 0.56/0.99 thf(zf_stmt_7, negated_conjecture,
% 0.56/0.99 (( ( multiply @ sk_c10 @ sk_c4 ) = ( sk_c9 ) ) |
% 0.56/0.99 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.56/0.99 thf(zip_derived_cl28, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ sk_c4) = (sk_c9))
% 0.56/0.99 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.56/0.99 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.99 thf(zip_derived_cl48, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10))
% 0.56/0.99 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl3])).
% 0.56/0.99 thf(zip_derived_cl416, plain,
% 0.56/0.99 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl387, zip_derived_cl93])).
% 0.56/0.99 thf(zip_derived_cl435, plain,
% 0.56/0.99 ((((sk_c1) = (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl416])).
% 0.56/0.99 thf(prove_this_18, conjecture,
% 0.56/0.99 (~( ( ( multiply @ sk_c10 @ sk_c4 ) = ( sk_c9 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) ) ))).
% 0.56/0.99 thf(zf_stmt_8, negated_conjecture,
% 0.56/0.99 (( ( multiply @ sk_c10 @ sk_c4 ) = ( sk_c9 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c2 ) )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.56/0.99 thf(zip_derived_cl20, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ sk_c4) = (sk_c9))
% 0.56/0.99 | ((multiply @ sk_c1 @ sk_c10) = (sk_c2)))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/0.99 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.99 thf(zip_derived_cl1013, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c1 @ sk_c10) = (sk_c2)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl3])).
% 0.56/0.99 thf(zip_derived_cl1025, plain,
% 0.56/0.99 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c2))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl1013])).
% 0.56/0.99 thf(zip_derived_cl1, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.99 thf(zip_derived_cl1033, plain,
% 0.56/0.99 ((((identity) = (sk_c2))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl1025, zip_derived_cl1])).
% 0.56/0.99 thf(zip_derived_cl1034, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10))
% 0.56/0.99 | ((identity) = (sk_c2)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1033])).
% 0.56/0.99 thf(prove_this_10, conjecture,
% 0.56/0.99 (~( ( ( multiply @ sk_c10 @ sk_c4 ) = ( sk_c9 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) ) ))).
% 0.56/0.99 thf(zf_stmt_9, negated_conjecture,
% 0.56/0.99 (( ( multiply @ sk_c10 @ sk_c4 ) = ( sk_c9 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c10 @ sk_c2 ) = ( sk_c9 ) )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.56/0.99 thf(zip_derived_cl12, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ sk_c4) = (sk_c9))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c2) = (sk_c9)))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.56/0.99 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.99 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.99 thf(zip_derived_cl281, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c2) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)],
% 0.56/0.99 [zip_derived_cl12, zip_derived_cl3, zip_derived_cl3])).
% 0.56/0.99 thf(zip_derived_cl1044, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ identity) = (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl1034, zip_derived_cl281])).
% 0.56/0.99 thf(zip_derived_cl387, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 0.56/0.99 thf(zip_derived_cl1053, plain,
% 0.56/0.99 ((((sk_c10) = (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl1044, zip_derived_cl387])).
% 0.56/0.99 thf(zip_derived_cl1054, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ sk_c4) = (inverse @ sk_c10))
% 0.56/0.99 | ((sk_c10) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1053])).
% 0.56/0.99 thf(zip_derived_cl1181, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ identity) = (inverse @ sk_c10))
% 0.56/0.99 | ((sk_c10) = (inverse @ sk_c10))
% 0.56/0.99 | ((sk_c10) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl1178, zip_derived_cl1054])).
% 0.56/0.99 thf(zip_derived_cl387, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 0.56/0.99 thf(zip_derived_cl1185, plain,
% 0.56/0.99 ((((sk_c10) = (inverse @ sk_c10))
% 0.56/0.99 | ((sk_c10) = (inverse @ sk_c10))
% 0.56/0.99 | ((sk_c10) = (inverse @ sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl1181, zip_derived_cl387])).
% 0.56/0.99 thf(zip_derived_cl1186, plain, (((sk_c10) = (inverse @ sk_c10))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 0.56/0.99 thf(zip_derived_cl1186, plain, (((sk_c10) = (inverse @ sk_c10))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 0.56/0.99 thf(prove_this_34, conjecture,
% 0.56/0.99 (~( ( ( multiply @ X7 @ sk_c8 ) != ( sk_c10 ) ) |
% 0.56/0.99 ( ( inverse @ X7 ) != ( sk_c10 ) ) |
% 0.56/0.99 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c8 ) ) |
% 0.56/0.99 ( ( inverse @ X5 ) != ( X6 ) ) |
% 0.56/0.99 ( ( multiply @ X5 @ X6 ) != ( sk_c8 ) ) |
% 0.56/0.99 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 0.56/0.99 ( ( multiply @ X2 @ sk_c10 ) != ( X1 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c10 @ X1 ) != ( sk_c9 ) ) |
% 0.56/0.99 ( ( inverse @ X4 ) != ( sk_c10 ) ) |
% 0.56/0.99 ( ( multiply @ X4 @ sk_c10 ) != ( X3 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c10 @ X3 ) != ( sk_c9 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c10 ) ) |
% 0.56/0.99 ( ( inverse @ sk_c10 ) != ( sk_c9 ) ) ))).
% 0.56/0.99 thf(zf_stmt_10, negated_conjecture,
% 0.56/0.99 (( ( multiply @ X7 @ sk_c8 ) != ( sk_c10 ) ) |
% 0.56/0.99 ( ( inverse @ X7 ) != ( sk_c10 ) ) |
% 0.56/0.99 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c8 ) ) |
% 0.56/0.99 ( ( inverse @ X5 ) != ( X6 ) ) |
% 0.56/0.99 ( ( multiply @ X5 @ X6 ) != ( sk_c8 ) ) |
% 0.56/0.99 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 0.56/0.99 ( ( multiply @ X2 @ sk_c10 ) != ( X1 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c10 @ X1 ) != ( sk_c9 ) ) |
% 0.56/0.99 ( ( inverse @ X4 ) != ( sk_c10 ) ) |
% 0.56/0.99 ( ( multiply @ X4 @ sk_c10 ) != ( X3 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c10 @ X3 ) != ( sk_c9 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c10 ) ) |
% 0.56/0.99 ( ( inverse @ sk_c10 ) != ( sk_c9 ) )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 0.56/0.99 thf(zip_derived_cl36, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.99 (((multiply @ X0 @ sk_c8) != (sk_c10))
% 0.56/0.99 | ((inverse @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c9) != (sk_c8))
% 0.56/0.99 | ((inverse @ X2) != (X1))
% 0.56/0.99 | ((multiply @ X2 @ X1) != (sk_c8))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X4))
% 0.56/0.99 | ((multiply @ sk_c10 @ X4) != (sk_c9))
% 0.56/0.99 | ((inverse @ X5) != (sk_c10))
% 0.56/0.99 | ((multiply @ X5 @ sk_c10) != (X6))
% 0.56/0.99 | ((multiply @ sk_c10 @ X6) != (sk_c9))
% 0.56/0.99 | ((multiply @ sk_c8 @ sk_c9) != (sk_c10))
% 0.56/0.99 | ((inverse @ sk_c10) != (sk_c9)))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.99 thf(zip_derived_cl37, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.99 (((multiply @ X0 @ sk_c8) != (sk_c10))
% 0.56/0.99 | ((inverse @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ (inverse @ sk_c10)) != (sk_c8))
% 0.56/0.99 | ((inverse @ X2) != (X1))
% 0.56/0.99 | ((multiply @ X2 @ X1) != (sk_c8))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X4))
% 0.56/0.99 | ((multiply @ sk_c10 @ X4) != (inverse @ sk_c10))
% 0.56/0.99 | ((inverse @ X5) != (sk_c10))
% 0.56/0.99 | ((multiply @ X5 @ sk_c10) != (X6))
% 0.56/0.99 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c8 @ (inverse @ sk_c10)) != (sk_c10))
% 0.56/0.99 | ((inverse @ sk_c10) != (sk_c9)))),
% 0.56/0.99 inference('local_rewriting', [status(thm)], [zip_derived_cl36])).
% 0.56/0.99 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.99 thf(zip_derived_cl38, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.99 (((multiply @ X0 @ sk_c8) != (sk_c10))
% 0.56/0.99 | ((inverse @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ (inverse @ sk_c10)) != (sk_c8))
% 0.56/0.99 | ((inverse @ X2) != (X1))
% 0.56/0.99 | ((multiply @ X2 @ X1) != (sk_c8))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X4))
% 0.56/0.99 | ((multiply @ sk_c10 @ X4) != (inverse @ sk_c10))
% 0.56/0.99 | ((inverse @ X5) != (sk_c10))
% 0.56/0.99 | ((multiply @ X5 @ sk_c10) != (X6))
% 0.56/0.99 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ sk_c8 @ (inverse @ sk_c10)) != (sk_c10))
% 0.56/0.99 | ((inverse @ sk_c10) != (inverse @ sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 0.56/0.99 thf(zip_derived_cl39, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.99 (((multiply @ sk_c8 @ (inverse @ sk_c10)) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ X5 @ sk_c10) != (X6))
% 0.56/0.99 | ((inverse @ X5) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X4) != (inverse @ sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X4))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((multiply @ X2 @ X1) != (sk_c8))
% 0.56/0.99 | ((inverse @ X2) != (X1))
% 0.56/0.99 | ((multiply @ X1 @ (inverse @ sk_c10)) != (sk_c8))
% 0.56/0.99 | ((inverse @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X0 @ sk_c8) != (sk_c10)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 0.56/0.99 thf(zip_derived_cl1186, plain, (((sk_c10) = (inverse @ sk_c10))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 0.56/0.99 thf(zip_derived_cl1186, plain, (((sk_c10) = (inverse @ sk_c10))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 0.56/0.99 thf(zip_derived_cl1186, plain, (((sk_c10) = (inverse @ sk_c10))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 0.56/0.99 thf(zip_derived_cl1186, plain, (((sk_c10) = (inverse @ sk_c10))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 0.56/0.99 thf(zip_derived_cl1189, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.99 (((multiply @ sk_c8 @ sk_c10) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X6) != (sk_c10))
% 0.56/0.99 | ((multiply @ X5 @ sk_c10) != (X6))
% 0.56/0.99 | ((inverse @ X5) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X4) != (sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X4))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((multiply @ X2 @ X1) != (sk_c8))
% 0.56/0.99 | ((inverse @ X2) != (X1))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (sk_c8))
% 0.56/0.99 | ((inverse @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X0 @ sk_c8) != (sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)],
% 0.56/0.99 [zip_derived_cl39, zip_derived_cl1186, zip_derived_cl1186,
% 0.56/0.99 zip_derived_cl1186, zip_derived_cl1186])).
% 0.56/0.99 thf(zip_derived_cl416, plain,
% 0.56/0.99 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl387, zip_derived_cl93])).
% 0.56/0.99 thf(zip_derived_cl1, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.99 thf(zip_derived_cl422, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.56/0.99 thf(prove_this_6, conjecture,
% 0.56/0.99 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 0.56/0.99 thf(zf_stmt_11, negated_conjecture,
% 0.56/0.99 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.56/0.99 thf(zip_derived_cl8, plain,
% 0.56/0.99 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c8 @ sk_c9) = (sk_c10)))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.56/0.99 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.99 thf(zip_derived_cl41, plain,
% 0.56/0.99 ((((inverse @ sk_c5) = (sk_c6))
% 0.56/0.99 | ((multiply @ sk_c8 @ (inverse @ sk_c10)) = (sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl3])).
% 0.56/0.99 thf(zip_derived_cl1186, plain, (((sk_c10) = (inverse @ sk_c10))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 0.56/0.99 thf(zip_derived_cl1190, plain,
% 0.56/0.99 ((((inverse @ sk_c5) = (sk_c6))
% 0.56/0.99 | ((multiply @ sk_c8 @ sk_c10) = (sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl1186])).
% 0.56/0.99 thf(prove_this_5, conjecture,
% 0.56/0.99 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 0.56/0.99 thf(zf_stmt_12, negated_conjecture,
% 0.56/0.99 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.56/0.99 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) )),
% 0.56/0.99 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.56/0.99 thf(zip_derived_cl7, plain,
% 0.56/0.99 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 0.56/0.99 | ((multiply @ sk_c8 @ sk_c9) = (sk_c10)))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.56/0.99 thf(zip_derived_cl3, plain, (((inverse @ sk_c10) = (sk_c9))),
% 0.56/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.99 thf(zip_derived_cl60, plain,
% 0.56/0.99 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 0.56/0.99 | ((multiply @ sk_c8 @ (inverse @ sk_c10)) = (sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 0.56/0.99 thf(zip_derived_cl1186, plain, (((sk_c10) = (inverse @ sk_c10))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 0.56/0.99 thf(zip_derived_cl1200, plain,
% 0.56/0.99 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 0.56/0.99 | ((multiply @ sk_c8 @ sk_c10) = (sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl1186])).
% 0.56/0.99 thf(zip_derived_cl2168, plain,
% 0.56/0.99 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c8))
% 0.56/0.99 | ((multiply @ sk_c8 @ sk_c10) = (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c8 @ sk_c10) = (sk_c10)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl1190, zip_derived_cl1200])).
% 0.56/0.99 thf(zip_derived_cl422, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.56/0.99 thf(zip_derived_cl2169, plain,
% 0.56/0.99 ((((identity) = (sk_c8))
% 0.56/0.99 | ((multiply @ sk_c8 @ sk_c10) = (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c8 @ sk_c10) = (sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl2168, zip_derived_cl422])).
% 0.56/0.99 thf(zip_derived_cl2170, plain,
% 0.56/0.99 ((((multiply @ sk_c8 @ sk_c10) = (sk_c10)) | ((identity) = (sk_c8)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl2169])).
% 0.56/0.99 thf(zip_derived_cl2, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.99 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/0.99 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/0.99 inference('cnf', [status(esa)], [associativity])).
% 0.56/0.99 thf(zip_derived_cl2171, plain,
% 0.56/0.99 (![X0 : $i]:
% 0.56/0.99 (((multiply @ sk_c10 @ X0)
% 0.56/0.99 = (multiply @ sk_c8 @ (multiply @ sk_c10 @ X0)))
% 0.56/0.99 | ((identity) = (sk_c8)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl2170, zip_derived_cl2])).
% 0.56/0.99 thf(zip_derived_cl3557, plain,
% 0.56/0.99 ((((multiply @ sk_c10 @ (inverse @ sk_c10))
% 0.56/0.99 = (multiply @ sk_c8 @ identity))
% 0.56/0.99 | ((identity) = (sk_c8)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl422, zip_derived_cl2171])).
% 0.56/0.99 thf(zip_derived_cl1186, plain, (((sk_c10) = (inverse @ sk_c10))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 0.56/0.99 thf(zip_derived_cl1186, plain, (((sk_c10) = (inverse @ sk_c10))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 0.56/0.99 thf(zip_derived_cl1, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.99 thf(zip_derived_cl1227, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl1186, zip_derived_cl1])).
% 0.56/0.99 thf(zip_derived_cl3584, plain,
% 0.56/0.99 ((((identity) = (multiply @ sk_c8 @ identity)) | ((identity) = (sk_c8)))),
% 0.56/0.99 inference('demod', [status(thm)],
% 0.56/0.99 [zip_derived_cl3557, zip_derived_cl1186, zip_derived_cl1227])).
% 0.56/0.99 thf(zip_derived_cl387, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 0.56/0.99 thf(zip_derived_cl3600, plain,
% 0.56/0.99 ((((identity) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl3584, zip_derived_cl387])).
% 0.56/0.99 thf(zip_derived_cl3602, plain, (((identity) = (sk_c8))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl3600])).
% 0.56/0.99 thf(zip_derived_cl0, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/0.99 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.99 thf(zip_derived_cl3602, plain, (((identity) = (sk_c8))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl3600])).
% 0.56/0.99 thf(zip_derived_cl3602, plain, (((identity) = (sk_c8))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl3600])).
% 0.56/0.99 thf(zip_derived_cl3602, plain, (((identity) = (sk_c8))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl3600])).
% 0.56/0.99 thf(zip_derived_cl387, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 0.56/0.99 thf(zip_derived_cl3613, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.99 (((sk_c10) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X6) != (sk_c10))
% 0.56/0.99 | ((multiply @ X5 @ sk_c10) != (X6))
% 0.56/0.99 | ((inverse @ X5) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X4) != (sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X4))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((multiply @ X2 @ X1) != (identity))
% 0.56/0.99 | ((inverse @ X2) != (X1))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (identity))
% 0.56/0.99 | ((inverse @ X0) != (sk_c10))
% 0.56/0.99 | ((X0) != (sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)],
% 0.56/0.99 [zip_derived_cl1189, zip_derived_cl3602, zip_derived_cl0,
% 0.56/0.99 zip_derived_cl3602, zip_derived_cl3602, zip_derived_cl3602,
% 0.56/0.99 zip_derived_cl387])).
% 0.56/0.99 thf(zip_derived_cl3614, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/0.99 (((X0) != (sk_c10))
% 0.56/0.99 | ((inverse @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (identity))
% 0.56/0.99 | ((inverse @ X2) != (X1))
% 0.56/0.99 | ((multiply @ X2 @ X1) != (identity))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X4))
% 0.56/0.99 | ((multiply @ sk_c10 @ X4) != (sk_c10))
% 0.56/0.99 | ((inverse @ X5) != (sk_c10))
% 0.56/0.99 | ((multiply @ X5 @ sk_c10) != (X6))
% 0.56/0.99 | ((multiply @ sk_c10 @ X6) != (sk_c10)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl3613])).
% 0.56/0.99 thf(zip_derived_cl3668, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.99 (((multiply @ sk_c10 @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (X0))
% 0.56/0.99 | ((inverse @ X1) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X2) != (sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X2))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((multiply @ X5 @ X4) != (identity))
% 0.56/0.99 | ((inverse @ X5) != (X4))
% 0.56/0.99 | ((multiply @ X4 @ sk_c10) != (identity))
% 0.56/0.99 | ((inverse @ sk_c10) != (sk_c10)))),
% 0.56/0.99 inference('eq_res', [status(thm)], [zip_derived_cl3614])).
% 0.56/0.99 thf(zip_derived_cl1186, plain, (((sk_c10) = (inverse @ sk_c10))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 0.56/0.99 thf(zip_derived_cl3669, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.99 (((multiply @ sk_c10 @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (X0))
% 0.56/0.99 | ((inverse @ X1) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X2) != (sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X2))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((multiply @ X5 @ X4) != (identity))
% 0.56/0.99 | ((inverse @ X5) != (X4))
% 0.56/0.99 | ((multiply @ X4 @ sk_c10) != (identity))
% 0.56/0.99 | ((sk_c10) != (sk_c10)))),
% 0.56/0.99 inference('demod', [status(thm)],
% 0.56/0.99 [zip_derived_cl3668, zip_derived_cl1186])).
% 0.56/0.99 thf(zip_derived_cl3670, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.99 (((multiply @ X4 @ sk_c10) != (identity))
% 0.56/0.99 | ((inverse @ X5) != (X4))
% 0.56/0.99 | ((multiply @ X5 @ X4) != (identity))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X2))
% 0.56/0.99 | ((multiply @ sk_c10 @ X2) != (sk_c10))
% 0.56/0.99 | ((inverse @ X1) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (X0))
% 0.56/0.99 | ((multiply @ sk_c10 @ X0) != (sk_c10)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl3669])).
% 0.56/0.99 thf(zip_derived_cl3679, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.99 (((multiply @ sk_c10 @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (X0))
% 0.56/0.99 | ((inverse @ X1) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X2) != (sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X2))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((multiply @ X4 @ (inverse @ X4)) != (identity))
% 0.56/0.99 | ((multiply @ (inverse @ X4) @ sk_c10) != (identity)))),
% 0.56/0.99 inference('eq_res', [status(thm)], [zip_derived_cl3670])).
% 0.56/0.99 thf(zip_derived_cl422, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.56/0.99 thf(zip_derived_cl3680, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.99 (((multiply @ sk_c10 @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (X0))
% 0.56/0.99 | ((inverse @ X1) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X2) != (sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X2))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((identity) != (identity))
% 0.56/0.99 | ((multiply @ (inverse @ X4) @ sk_c10) != (identity)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl3679, zip_derived_cl422])).
% 0.56/0.99 thf(zip_derived_cl3681, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.99 (((multiply @ (inverse @ X4) @ sk_c10) != (identity))
% 0.56/0.99 | ((inverse @ X3) != (sk_c10))
% 0.56/0.99 | ((multiply @ X3 @ sk_c10) != (X2))
% 0.56/0.99 | ((multiply @ sk_c10 @ X2) != (sk_c10))
% 0.56/0.99 | ((inverse @ X1) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (X0))
% 0.56/0.99 | ((multiply @ sk_c10 @ X0) != (sk_c10)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl3680])).
% 0.56/0.99 thf(zip_derived_cl3685, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.99 (((sk_c10) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (X0))
% 0.56/0.99 | ((inverse @ X1) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X2) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c10) != (X2))
% 0.56/0.99 | ((multiply @ (inverse @ X3) @ sk_c10) != (identity)))),
% 0.56/0.99 inference('sup-', [status(thm)], [zip_derived_cl1186, zip_derived_cl3681])).
% 0.56/0.99 thf(zip_derived_cl1227, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl1186, zip_derived_cl1])).
% 0.56/0.99 thf(zip_derived_cl3691, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.99 (((sk_c10) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (X0))
% 0.56/0.99 | ((inverse @ X1) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X2) != (sk_c10))
% 0.56/0.99 | ((identity) != (X2))
% 0.56/0.99 | ((multiply @ (inverse @ X3) @ sk_c10) != (identity)))),
% 0.56/0.99 inference('demod', [status(thm)],
% 0.56/0.99 [zip_derived_cl3685, zip_derived_cl1227])).
% 0.56/0.99 thf(zip_derived_cl3692, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.99 (((multiply @ (inverse @ X3) @ sk_c10) != (identity))
% 0.56/0.99 | ((identity) != (X2))
% 0.56/0.99 | ((multiply @ sk_c10 @ X2) != (sk_c10))
% 0.56/0.99 | ((inverse @ X1) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (X0))
% 0.56/0.99 | ((multiply @ sk_c10 @ X0) != (sk_c10)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl3691])).
% 0.56/0.99 thf(zip_derived_cl3698, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.99 (((multiply @ sk_c10 @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (X0))
% 0.56/0.99 | ((inverse @ X1) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ identity) != (sk_c10))
% 0.56/0.99 | ((multiply @ (inverse @ X2) @ sk_c10) != (identity)))),
% 0.56/0.99 inference('eq_res', [status(thm)], [zip_derived_cl3692])).
% 0.56/0.99 thf(zip_derived_cl387, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 0.56/0.99 thf(zip_derived_cl3699, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.99 (((multiply @ sk_c10 @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (X0))
% 0.56/0.99 | ((inverse @ X1) != (sk_c10))
% 0.56/0.99 | ((sk_c10) != (sk_c10))
% 0.56/0.99 | ((multiply @ (inverse @ X2) @ sk_c10) != (identity)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl3698, zip_derived_cl387])).
% 0.56/0.99 thf(zip_derived_cl3700, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.99 (((multiply @ (inverse @ X2) @ sk_c10) != (identity))
% 0.56/0.99 | ((inverse @ X1) != (sk_c10))
% 0.56/0.99 | ((multiply @ X1 @ sk_c10) != (X0))
% 0.56/0.99 | ((multiply @ sk_c10 @ X0) != (sk_c10)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl3699])).
% 0.56/0.99 thf(zip_derived_cl3702, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i]:
% 0.56/0.99 (((sk_c10) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X0) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ sk_c10) != (X0))
% 0.56/0.99 | ((multiply @ (inverse @ X1) @ sk_c10) != (identity)))),
% 0.56/0.99 inference('sup-', [status(thm)], [zip_derived_cl1186, zip_derived_cl3700])).
% 0.56/0.99 thf(zip_derived_cl1227, plain, (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl1186, zip_derived_cl1])).
% 0.56/0.99 thf(zip_derived_cl3708, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i]:
% 0.56/0.99 (((sk_c10) != (sk_c10))
% 0.56/0.99 | ((multiply @ sk_c10 @ X0) != (sk_c10))
% 0.56/0.99 | ((identity) != (X0))
% 0.56/0.99 | ((multiply @ (inverse @ X1) @ sk_c10) != (identity)))),
% 0.56/0.99 inference('demod', [status(thm)],
% 0.56/0.99 [zip_derived_cl3702, zip_derived_cl1227])).
% 0.56/0.99 thf(zip_derived_cl3709, plain,
% 0.56/0.99 (![X0 : $i, X1 : $i]:
% 0.56/0.99 (((multiply @ (inverse @ X1) @ sk_c10) != (identity))
% 0.56/0.99 | ((identity) != (X0))
% 0.56/0.99 | ((multiply @ sk_c10 @ X0) != (sk_c10)))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl3708])).
% 0.56/0.99 thf(zip_derived_cl3889, plain,
% 0.56/0.99 (![X0 : $i]:
% 0.56/0.99 (((multiply @ sk_c10 @ identity) != (sk_c10))
% 0.56/0.99 | ((multiply @ (inverse @ X0) @ sk_c10) != (identity)))),
% 0.56/0.99 inference('eq_res', [status(thm)], [zip_derived_cl3709])).
% 0.56/0.99 thf(zip_derived_cl387, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/0.99 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 0.56/0.99 thf(zip_derived_cl3890, plain,
% 0.56/0.99 (![X0 : $i]:
% 0.56/0.99 (((sk_c10) != (sk_c10))
% 0.56/0.99 | ((multiply @ (inverse @ X0) @ sk_c10) != (identity)))),
% 0.56/0.99 inference('demod', [status(thm)], [zip_derived_cl3889, zip_derived_cl387])).
% 0.56/0.99 thf(zip_derived_cl3891, plain,
% 0.56/0.99 (![X0 : $i]: ((multiply @ (inverse @ X0) @ sk_c10) != (identity))),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl3890])).
% 0.56/0.99 thf(zip_derived_cl3892, plain, (((identity) != (identity))),
% 0.56/0.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3891])).
% 0.56/0.99 thf(zip_derived_cl3902, plain, ($false),
% 0.56/0.99 inference('simplify', [status(thm)], [zip_derived_cl3892])).
% 0.56/0.99
% 0.56/0.99 % SZS output end Refutation
% 0.56/0.99
% 0.56/0.99
% 0.56/0.99 % Terminating...
% 0.56/1.04 % Runner terminated.
% 0.56/1.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------