%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP349-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6G2jE0yIB3 true
% Computer : n022.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 Oct 2 04:36:17 PM UTC 2025
% Result : Unsatisfiable 6.72s 1.57s
% Output : Refutation 6.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP349-1 : TPTP v9.2.0. Released v2.5.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6G2jE0yIB3 true
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 14:04:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.72/1.57 % Solved by fo/fo7.sh.
% 6.72/1.57 % done 2064 iterations in 0.787s
% 6.72/1.57 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.72/1.57 % SZS output start Refutation
% 6.72/1.57 thf(sk_c8_type, type, sk_c8: $i).
% 6.72/1.57 thf(sk_c2_type, type, sk_c2: $i).
% 6.72/1.57 thf(sk_c5_type, type, sk_c5: $i).
% 6.72/1.57 thf(identity_type, type, identity: $i).
% 6.72/1.57 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.72/1.57 thf(sk_c10_type, type, sk_c10: $i).
% 6.72/1.57 thf(inverse_type, type, inverse: $i > $i).
% 6.72/1.57 thf(sk_c4_type, type, sk_c4: $i).
% 6.72/1.57 thf(sk_c1_type, type, sk_c1: $i).
% 6.72/1.57 thf(sk_c9_type, type, sk_c9: $i).
% 6.72/1.57 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 6.72/1.57 thf(zip_derived_cl1, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_inverse])).
% 6.72/1.57 thf(prove_this_5, conjecture,
% 6.72/1.57 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c10 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c8 ) ) ))).
% 6.72/1.57 thf(zf_stmt_0, negated_conjecture,
% 6.72/1.57 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c10 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c8 ) )),
% 6.72/1.57 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 6.72/1.57 thf(zip_derived_cl7, plain,
% 6.72/1.57 ((((multiply @ sk_c5 @ sk_c9) = (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c9 @ sk_c10) = (sk_c8)))),
% 6.72/1.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.72/1.57 thf(prove_this_34, conjecture,
% 6.72/1.57 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 6.72/1.57 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 6.72/1.57 thf(zf_stmt_1, negated_conjecture,
% 6.72/1.57 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 6.72/1.57 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 6.72/1.57 thf(zip_derived_cl36, plain,
% 6.72/1.57 ((((inverse @ sk_c4) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c2)))),
% 6.72/1.57 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.72/1.57 thf(prove_this_26, conjecture,
% 6.72/1.57 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c9 ) ) ))).
% 6.72/1.57 thf(zf_stmt_2, negated_conjecture,
% 6.72/1.57 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c9 ) )),
% 6.72/1.57 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 6.72/1.57 thf(zip_derived_cl28, plain,
% 6.72/1.57 ((((inverse @ sk_c4) = (sk_c10)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c9)))),
% 6.72/1.57 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.72/1.57 thf(zip_derived_cl83, plain,
% 6.72/1.57 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c9))
% 6.72/1.57 | ((inverse @ sk_c4) = (sk_c10))
% 6.72/1.57 | ((inverse @ sk_c4) = (sk_c10)))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl28])).
% 6.72/1.57 thf(zip_derived_cl86, plain,
% 6.72/1.57 ((((inverse @ sk_c4) = (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c9)))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl83])).
% 6.72/1.57 thf(zip_derived_cl1, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_inverse])).
% 6.72/1.57 thf(zip_derived_cl1, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_inverse])).
% 6.72/1.57 thf(associativity, axiom,
% 6.72/1.57 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 6.72/1.57 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 6.72/1.57 thf(zip_derived_cl2, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.72/1.57 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 6.72/1.57 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 6.72/1.57 inference('cnf', [status(esa)], [associativity])).
% 6.72/1.57 thf(zip_derived_cl156, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i]:
% 6.72/1.57 ((multiply @ identity @ X0)
% 6.72/1.57 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 6.72/1.57 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 6.72/1.57 thf(zip_derived_cl0, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_identity])).
% 6.72/1.57 thf(zip_derived_cl185, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i]:
% 6.72/1.57 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.72/1.57 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 6.72/1.57 thf(zip_derived_cl198, plain,
% 6.72/1.57 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl185])).
% 6.72/1.57 thf(zip_derived_cl185, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i]:
% 6.72/1.57 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.72/1.57 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 6.72/1.57 thf(zip_derived_cl185, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i]:
% 6.72/1.57 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.72/1.57 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 6.72/1.57 thf(zip_derived_cl195, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i]:
% 6.72/1.57 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl185, zip_derived_cl185])).
% 6.72/1.57 thf(zip_derived_cl978, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl195])).
% 6.72/1.57 thf(zip_derived_cl198, plain,
% 6.72/1.57 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl185])).
% 6.72/1.57 thf(zip_derived_cl1014, plain,
% 6.72/1.57 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl978, zip_derived_cl198])).
% 6.72/1.57 thf(zip_derived_cl1, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_inverse])).
% 6.72/1.57 thf(zip_derived_cl1019, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl1014, zip_derived_cl1])).
% 6.72/1.57 thf(zip_derived_cl2116, plain,
% 6.72/1.57 ((((inverse @ sk_c4) = (sk_c10)) | ((identity) = (sk_c9)))),
% 6.72/1.57 inference('demod', [status(thm)], [zip_derived_cl86, zip_derived_cl1019])).
% 6.72/1.57 thf(zip_derived_cl1014, plain,
% 6.72/1.57 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl978, zip_derived_cl198])).
% 6.72/1.57 thf(zip_derived_cl2118, plain,
% 6.72/1.57 ((((sk_c4) = (inverse @ sk_c10)) | ((identity) = (sk_c9)))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl2116, zip_derived_cl1014])).
% 6.72/1.57 thf(prove_this_33, conjecture,
% 6.72/1.57 (~( ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 6.72/1.57 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 6.72/1.57 thf(zf_stmt_3, negated_conjecture,
% 6.72/1.57 (( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 6.72/1.57 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 6.72/1.57 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 6.72/1.57 thf(zip_derived_cl35, plain,
% 6.72/1.57 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c2)))),
% 6.72/1.57 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.72/1.57 thf(prove_this_25, conjecture,
% 6.72/1.57 (~( ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c9 ) ) ))).
% 6.72/1.57 thf(zf_stmt_4, negated_conjecture,
% 6.72/1.57 (( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c9 ) )),
% 6.72/1.57 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 6.72/1.57 thf(zip_derived_cl27, plain,
% 6.72/1.57 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 6.72/1.57 | ((multiply @ sk_c1 @ sk_c2) = (sk_c9)))),
% 6.72/1.57 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.72/1.57 thf(zip_derived_cl562, plain,
% 6.72/1.57 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c9))
% 6.72/1.57 | ((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 6.72/1.57 | ((multiply @ sk_c4 @ sk_c10) = (sk_c9)))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl27])).
% 6.72/1.57 thf(zip_derived_cl573, plain,
% 6.72/1.57 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 6.72/1.57 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c9)))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl562])).
% 6.72/1.57 thf(zip_derived_cl1019, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl1014, zip_derived_cl1])).
% 6.72/1.57 thf(zip_derived_cl13631, plain,
% 6.72/1.57 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9)) | ((identity) = (sk_c9)))),
% 6.72/1.57 inference('demod', [status(thm)], [zip_derived_cl573, zip_derived_cl1019])).
% 6.72/1.57 thf(zip_derived_cl13649, plain,
% 6.72/1.57 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c9))
% 6.72/1.57 | ((identity) = (sk_c9))
% 6.72/1.57 | ((identity) = (sk_c9)))),
% 6.72/1.57 inference('sup+', [status(thm)],
% 6.72/1.57 [zip_derived_cl2118, zip_derived_cl13631])).
% 6.72/1.57 thf(zip_derived_cl1, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_inverse])).
% 6.72/1.57 thf(zip_derived_cl13662, plain,
% 6.72/1.57 ((((identity) = (sk_c9))
% 6.72/1.57 | ((identity) = (sk_c9))
% 6.72/1.57 | ((identity) = (sk_c9)))),
% 6.72/1.57 inference('demod', [status(thm)], [zip_derived_cl13649, zip_derived_cl1])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl978, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl195])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl0, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_identity])).
% 6.72/1.57 thf(zip_derived_cl13683, plain,
% 6.72/1.57 ((((sk_c5) = (sk_c10)) | ((sk_c10) = (sk_c8)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl7, zip_derived_cl13663, zip_derived_cl978,
% 6.72/1.57 zip_derived_cl13663, zip_derived_cl0])).
% 6.72/1.57 thf(prove_this_19, conjecture,
% 6.72/1.57 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 6.72/1.57 ( ( inverse @ sk_c10 ) = ( sk_c8 ) ) ))).
% 6.72/1.57 thf(zf_stmt_5, negated_conjecture,
% 6.72/1.57 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 6.72/1.57 ( ( inverse @ sk_c10 ) = ( sk_c8 ) )),
% 6.72/1.57 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 6.72/1.57 thf(zip_derived_cl21, plain,
% 6.72/1.57 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 6.72/1.57 | ((inverse @ sk_c10) = (sk_c8)))),
% 6.72/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.72/1.57 thf(zip_derived_cl185, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i]:
% 6.72/1.57 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 6.72/1.57 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 6.72/1.57 thf(zip_derived_cl202, plain,
% 6.72/1.57 ((((sk_c8) = (multiply @ (inverse @ sk_c10) @ sk_c9))
% 6.72/1.57 | ((inverse @ sk_c10) = (sk_c8)))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl185])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl978, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl195])).
% 6.72/1.57 thf(zip_derived_cl13751, plain,
% 6.72/1.57 ((((sk_c8) = (inverse @ sk_c10)) | ((inverse @ sk_c10) = (sk_c8)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl202, zip_derived_cl13663, zip_derived_cl978])).
% 6.72/1.57 thf(zip_derived_cl13752, plain, (((sk_c8) = (inverse @ sk_c10))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13751])).
% 6.72/1.57 thf(zip_derived_cl13936, plain,
% 6.72/1.57 ((((sk_c5) = (sk_c10)) | ((sk_c10) = (inverse @ sk_c10)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl13683, zip_derived_cl13752])).
% 6.72/1.57 thf(prove_this_4, conjecture,
% 6.72/1.57 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c8 ) ) ))).
% 6.72/1.57 thf(zf_stmt_6, negated_conjecture,
% 6.72/1.57 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c9 @ sk_c10 ) = ( sk_c8 ) )),
% 6.72/1.57 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 6.72/1.57 thf(zip_derived_cl6, plain,
% 6.72/1.57 ((((inverse @ sk_c5) = (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c9 @ sk_c10) = (sk_c8)))),
% 6.72/1.57 inference('cnf', [status(esa)], [zf_stmt_6])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl0, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_identity])).
% 6.72/1.57 thf(zip_derived_cl13682, plain,
% 6.72/1.57 ((((inverse @ sk_c5) = (sk_c10)) | ((sk_c10) = (sk_c8)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl6, zip_derived_cl13663, zip_derived_cl0])).
% 6.72/1.57 thf(zip_derived_cl13752, plain, (((sk_c8) = (inverse @ sk_c10))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13751])).
% 6.72/1.57 thf(zip_derived_cl13952, plain,
% 6.72/1.57 ((((inverse @ sk_c5) = (sk_c10)) | ((sk_c10) = (inverse @ sk_c10)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl13682, zip_derived_cl13752])).
% 6.72/1.57 thf(zip_derived_cl13958, plain,
% 6.72/1.57 ((((inverse @ sk_c10) = (sk_c10))
% 6.72/1.57 | ((sk_c10) = (inverse @ sk_c10))
% 6.72/1.57 | ((sk_c10) = (inverse @ sk_c10)))),
% 6.72/1.57 inference('sup+', [status(thm)],
% 6.72/1.57 [zip_derived_cl13936, zip_derived_cl13952])).
% 6.72/1.57 thf(zip_derived_cl13959, plain, (((inverse @ sk_c10) = (sk_c10))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13958])).
% 6.72/1.57 thf(prove_this_65, conjecture,
% 6.72/1.57 (~( ( ( multiply @ X3 @ sk_c8 ) != ( sk_c9 ) ) |
% 6.72/1.57 ( ( inverse @ X7 ) != ( X3 ) ) |
% 6.72/1.57 ( ( multiply @ X7 @ X3 ) != ( sk_c9 ) ) |
% 6.72/1.57 ( ( multiply @ X2 @ sk_c9 ) != ( sk_c10 ) ) |
% 6.72/1.57 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c10 @ sk_c8 ) != ( sk_c9 ) ) |
% 6.72/1.57 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 6.72/1.57 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 6.72/1.57 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c8 ) ) |
% 6.72/1.57 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 6.72/1.57 ( ( multiply @ X5 @ sk_c8 ) != ( sk_c9 ) ) |
% 6.72/1.57 ( ( inverse @ X4 ) != ( X5 ) ) |
% 6.72/1.57 ( ( multiply @ X4 @ X5 ) != ( sk_c9 ) ) |
% 6.72/1.57 ( ( inverse @ sk_c10 ) != ( sk_c8 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c10 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c9 @ sk_c10 ) != ( sk_c8 ) ) ))).
% 6.72/1.57 thf(zf_stmt_7, negated_conjecture,
% 6.72/1.57 (( ( multiply @ X3 @ sk_c8 ) != ( sk_c9 ) ) |
% 6.72/1.57 ( ( inverse @ X7 ) != ( X3 ) ) |
% 6.72/1.57 ( ( multiply @ X7 @ X3 ) != ( sk_c9 ) ) |
% 6.72/1.57 ( ( multiply @ X2 @ sk_c9 ) != ( sk_c10 ) ) |
% 6.72/1.57 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c10 @ sk_c8 ) != ( sk_c9 ) ) |
% 6.72/1.57 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 6.72/1.57 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 6.72/1.57 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c8 ) ) |
% 6.72/1.57 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 6.72/1.57 ( ( multiply @ X5 @ sk_c8 ) != ( sk_c9 ) ) |
% 6.72/1.57 ( ( inverse @ X4 ) != ( X5 ) ) |
% 6.72/1.57 ( ( multiply @ X4 @ X5 ) != ( sk_c9 ) ) |
% 6.72/1.57 ( ( inverse @ sk_c10 ) != ( sk_c8 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c10 ) ) |
% 6.72/1.57 ( ( multiply @ sk_c9 @ sk_c10 ) != ( sk_c8 ) )),
% 6.72/1.57 inference('cnf.neg', [status(esa)], [prove_this_65])).
% 6.72/1.57 thf(zip_derived_cl67, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.72/1.57 (((multiply @ X0 @ sk_c8) != (sk_c9))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (sk_c9))
% 6.72/1.57 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c10 @ sk_c8) != (sk_c9))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 6.72/1.57 | ((multiply @ X4 @ sk_c9) != (sk_c8))
% 6.72/1.57 | ((inverse @ X4) != (sk_c8))
% 6.72/1.57 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 6.72/1.57 | ((inverse @ X6) != (X5))
% 6.72/1.57 | ((multiply @ X6 @ X5) != (sk_c9))
% 6.72/1.57 | ((inverse @ sk_c10) != (sk_c8))
% 6.72/1.57 | ((multiply @ sk_c9 @ sk_c8) != (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c9 @ sk_c10) != (sk_c8)))),
% 6.72/1.57 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.72/1.57 thf(zip_derived_cl68, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.72/1.57 (((multiply @ X0 @ (multiply @ sk_c9 @ sk_c10)) != (sk_c9))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (sk_c9))
% 6.72/1.57 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c10 @ (multiply @ sk_c9 @ sk_c10)) != (sk_c9))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 6.72/1.57 | ((multiply @ X4 @ sk_c9) != (multiply @ sk_c9 @ sk_c10))
% 6.72/1.57 | ((inverse @ X4) != (multiply @ sk_c9 @ sk_c10))
% 6.72/1.57 | ((multiply @ X5 @ (multiply @ sk_c9 @ sk_c10)) != (sk_c9))
% 6.72/1.57 | ((inverse @ X6) != (X5))
% 6.72/1.57 | ((multiply @ X6 @ X5) != (sk_c9))
% 6.72/1.57 | ((inverse @ sk_c10) != (sk_c8))
% 6.72/1.57 | ((multiply @ sk_c9 @ (multiply @ sk_c9 @ sk_c10)) != (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c9 @ sk_c10) != (sk_c8)))),
% 6.72/1.57 inference('local_rewriting', [status(thm)], [zip_derived_cl67])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl0, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_identity])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl978, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl195])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl0, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_identity])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl978, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl195])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl0, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_identity])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl0, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_identity])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl0, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_identity])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl0, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_identity])).
% 6.72/1.57 thf(zip_derived_cl0, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_identity])).
% 6.72/1.57 thf(zip_derived_cl13663, plain, (((identity) = (sk_c9))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13662])).
% 6.72/1.57 thf(zip_derived_cl0, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_identity])).
% 6.72/1.57 thf(zip_derived_cl13734, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.72/1.57 (((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((X2) != (sk_c10))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c10 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity))
% 6.72/1.57 | ((X4) != (sk_c10))
% 6.72/1.57 | ((inverse @ X4) != (sk_c10))
% 6.72/1.57 | ((multiply @ X5 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X6) != (X5))
% 6.72/1.57 | ((multiply @ X6 @ X5) != (identity))
% 6.72/1.57 | ((inverse @ sk_c10) != (sk_c8))
% 6.72/1.57 | ((sk_c10) != (sk_c10))
% 6.72/1.57 | ((sk_c10) != (sk_c8)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl68, zip_derived_cl13663, zip_derived_cl0,
% 6.72/1.57 zip_derived_cl13663, zip_derived_cl13663,
% 6.72/1.57 zip_derived_cl13663, zip_derived_cl978, zip_derived_cl13663,
% 6.72/1.57 zip_derived_cl0, zip_derived_cl13663, zip_derived_cl13663,
% 6.72/1.57 zip_derived_cl13663, zip_derived_cl978, zip_derived_cl13663,
% 6.72/1.57 zip_derived_cl0, zip_derived_cl13663, zip_derived_cl0,
% 6.72/1.57 zip_derived_cl13663, zip_derived_cl0, zip_derived_cl13663,
% 6.72/1.57 zip_derived_cl13663, zip_derived_cl13663,
% 6.72/1.57 zip_derived_cl13663, zip_derived_cl0, zip_derived_cl0,
% 6.72/1.57 zip_derived_cl13663, zip_derived_cl0])).
% 6.72/1.57 thf(zip_derived_cl13735, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.72/1.57 (((sk_c10) != (sk_c8))
% 6.72/1.57 | ((inverse @ sk_c10) != (sk_c8))
% 6.72/1.57 | ((multiply @ X6 @ X5) != (identity))
% 6.72/1.57 | ((inverse @ X6) != (X5))
% 6.72/1.57 | ((multiply @ X5 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X4) != (sk_c10))
% 6.72/1.57 | ((X4) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c10 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13734])).
% 6.72/1.57 thf(zip_derived_cl13752, plain, (((sk_c8) = (inverse @ sk_c10))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13751])).
% 6.72/1.57 thf(zip_derived_cl13752, plain, (((sk_c8) = (inverse @ sk_c10))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13751])).
% 6.72/1.57 thf(zip_derived_cl13930, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.72/1.57 (((sk_c10) != (inverse @ sk_c10))
% 6.72/1.57 | ((inverse @ sk_c10) != (inverse @ sk_c10))
% 6.72/1.57 | ((multiply @ X6 @ X5) != (identity))
% 6.72/1.57 | ((inverse @ X6) != (X5))
% 6.72/1.57 | ((multiply @ X5 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X4) != (sk_c10))
% 6.72/1.57 | ((X4) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c10 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl13735, zip_derived_cl13752, zip_derived_cl13752])).
% 6.72/1.57 thf(zip_derived_cl13931, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.72/1.57 (((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((X2) != (sk_c10))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c10 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity))
% 6.72/1.57 | ((X4) != (sk_c10))
% 6.72/1.57 | ((inverse @ X4) != (sk_c10))
% 6.72/1.57 | ((multiply @ X5 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X6) != (X5))
% 6.72/1.57 | ((multiply @ X6 @ X5) != (identity))
% 6.72/1.57 | ((sk_c10) != (inverse @ sk_c10)))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13930])).
% 6.72/1.57 thf(zip_derived_cl13959, plain, (((inverse @ sk_c10) = (sk_c10))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13958])).
% 6.72/1.57 thf(zip_derived_cl13984, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.72/1.57 (((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((X2) != (sk_c10))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c10 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity))
% 6.72/1.57 | ((X4) != (sk_c10))
% 6.72/1.57 | ((inverse @ X4) != (sk_c10))
% 6.72/1.57 | ((multiply @ X5 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X6) != (X5))
% 6.72/1.57 | ((multiply @ X6 @ X5) != (identity))
% 6.72/1.57 | ((sk_c10) != (sk_c10)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl13931, zip_derived_cl13959])).
% 6.72/1.57 thf(zip_derived_cl13985, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.72/1.57 (((multiply @ X6 @ X5) != (identity))
% 6.72/1.57 | ((inverse @ X6) != (X5))
% 6.72/1.57 | ((multiply @ X5 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X4) != (sk_c10))
% 6.72/1.57 | ((X4) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((multiply @ sk_c10 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13984])).
% 6.72/1.57 thf(zip_derived_cl13959, plain, (((inverse @ sk_c10) = (sk_c10))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13958])).
% 6.72/1.57 thf(zip_derived_cl1, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 6.72/1.57 inference('cnf', [status(esa)], [left_inverse])).
% 6.72/1.57 thf(zip_derived_cl13991, plain,
% 6.72/1.57 (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl13959, zip_derived_cl1])).
% 6.72/1.57 thf(zip_derived_cl14110, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.72/1.57 (((multiply @ X6 @ X5) != (identity))
% 6.72/1.57 | ((inverse @ X6) != (X5))
% 6.72/1.57 | ((multiply @ X5 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X4) != (sk_c10))
% 6.72/1.57 | ((X4) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((identity) != (identity))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl13985, zip_derived_cl13991])).
% 6.72/1.57 thf(zip_derived_cl14111, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 6.72/1.57 (((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((X2) != (sk_c10))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity))
% 6.72/1.57 | ((X4) != (sk_c10))
% 6.72/1.57 | ((inverse @ X4) != (sk_c10))
% 6.72/1.57 | ((multiply @ X5 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X6) != (X5))
% 6.72/1.57 | ((multiply @ X6 @ X5) != (identity)))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl14110])).
% 6.72/1.57 thf(zip_derived_cl14152, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.72/1.57 (((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((inverse @ sk_c10) != (sk_c10))
% 6.72/1.57 | ((multiply @ X5 @ X4) != (identity))
% 6.72/1.57 | ((inverse @ X5) != (X4))
% 6.72/1.57 | ((multiply @ X4 @ sk_c10) != (identity)))),
% 6.72/1.57 inference('eq_res', [status(thm)], [zip_derived_cl14111])).
% 6.72/1.57 thf(zip_derived_cl13959, plain, (((inverse @ sk_c10) = (sk_c10))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13958])).
% 6.72/1.57 thf(zip_derived_cl14153, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.72/1.57 (((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((sk_c10) != (sk_c10))
% 6.72/1.57 | ((multiply @ X5 @ X4) != (identity))
% 6.72/1.57 | ((inverse @ X5) != (X4))
% 6.72/1.57 | ((multiply @ X4 @ sk_c10) != (identity)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl14152, zip_derived_cl13959])).
% 6.72/1.57 thf(zip_derived_cl14154, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.72/1.57 (((multiply @ X4 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X5) != (X4))
% 6.72/1.57 | ((multiply @ X5 @ X4) != (identity))
% 6.72/1.57 | ((inverse @ X3) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity))
% 6.72/1.57 | ((X2) != (sk_c10))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity)))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl14153])).
% 6.72/1.57 thf(zip_derived_cl14155, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.72/1.57 (((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ sk_c10) != (sk_c10))
% 6.72/1.57 | ((multiply @ X2 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ X4 @ X3) != (identity))
% 6.72/1.57 | ((inverse @ X4) != (X3))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity)))),
% 6.72/1.57 inference('eq_res', [status(thm)], [zip_derived_cl14154])).
% 6.72/1.57 thf(zip_derived_cl13959, plain, (((inverse @ sk_c10) = (sk_c10))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl13958])).
% 6.72/1.57 thf(zip_derived_cl14156, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.72/1.57 (((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((sk_c10) != (sk_c10))
% 6.72/1.57 | ((multiply @ X2 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ X4 @ X3) != (identity))
% 6.72/1.57 | ((inverse @ X4) != (X3))
% 6.72/1.57 | ((multiply @ X3 @ sk_c10) != (identity)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl14155, zip_derived_cl13959])).
% 6.72/1.57 thf(zip_derived_cl14157, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.72/1.57 (((multiply @ X3 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X4) != (X3))
% 6.72/1.57 | ((multiply @ X4 @ X3) != (identity))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ X2 @ sk_c10) != (identity))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity)))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl14156])).
% 6.72/1.57 thf(zip_derived_cl14164, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.72/1.57 (((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((multiply @ X2 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ X3 @ (inverse @ X3)) != (identity))
% 6.72/1.57 | ((multiply @ (inverse @ X3) @ sk_c10) != (identity)))),
% 6.72/1.57 inference('eq_res', [status(thm)], [zip_derived_cl14157])).
% 6.72/1.57 thf(zip_derived_cl1019, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl1014, zip_derived_cl1])).
% 6.72/1.57 thf(zip_derived_cl14165, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.72/1.57 (((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((multiply @ X2 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((identity) != (identity))
% 6.72/1.57 | ((multiply @ (inverse @ X3) @ sk_c10) != (identity)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl14164, zip_derived_cl1019])).
% 6.72/1.57 thf(zip_derived_cl14166, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.72/1.57 (((multiply @ (inverse @ X3) @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X2) != (sk_c10))
% 6.72/1.57 | ((multiply @ X2 @ sk_c10) != (identity))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity)))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl14165])).
% 6.72/1.57 thf(zip_derived_cl14170, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.72/1.57 (((sk_c10) != (sk_c10))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((multiply @ sk_c10 @ sk_c10) != (identity))
% 6.72/1.57 | ((multiply @ (inverse @ X2) @ sk_c10) != (identity)))),
% 6.72/1.57 inference('sup-', [status(thm)],
% 6.72/1.57 [zip_derived_cl13959, zip_derived_cl14166])).
% 6.72/1.57 thf(zip_derived_cl13991, plain,
% 6.72/1.57 (((multiply @ sk_c10 @ sk_c10) = (identity))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl13959, zip_derived_cl1])).
% 6.72/1.57 thf(zip_derived_cl14174, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.72/1.57 (((sk_c10) != (sk_c10))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((identity) != (identity))
% 6.72/1.57 | ((multiply @ (inverse @ X2) @ sk_c10) != (identity)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl14170, zip_derived_cl13991])).
% 6.72/1.57 thf(zip_derived_cl14175, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.72/1.57 (((multiply @ (inverse @ X2) @ sk_c10) != (identity))
% 6.72/1.57 | ((multiply @ X0 @ sk_c10) != (identity))
% 6.72/1.57 | ((inverse @ X1) != (X0))
% 6.72/1.57 | ((multiply @ X1 @ X0) != (identity)))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl14174])).
% 6.72/1.57 thf(zip_derived_cl14185, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i]:
% 6.72/1.57 (((multiply @ X0 @ (inverse @ X0)) != (identity))
% 6.72/1.57 | ((multiply @ (inverse @ X0) @ sk_c10) != (identity))
% 6.72/1.57 | ((multiply @ (inverse @ X1) @ sk_c10) != (identity)))),
% 6.72/1.57 inference('eq_res', [status(thm)], [zip_derived_cl14175])).
% 6.72/1.57 thf(zip_derived_cl1019, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 6.72/1.57 inference('sup+', [status(thm)], [zip_derived_cl1014, zip_derived_cl1])).
% 6.72/1.57 thf(zip_derived_cl14186, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i]:
% 6.72/1.57 (((identity) != (identity))
% 6.72/1.57 | ((multiply @ (inverse @ X0) @ sk_c10) != (identity))
% 6.72/1.57 | ((multiply @ (inverse @ X1) @ sk_c10) != (identity)))),
% 6.72/1.57 inference('demod', [status(thm)],
% 6.72/1.57 [zip_derived_cl14185, zip_derived_cl1019])).
% 6.72/1.57 thf(zip_derived_cl14187, plain,
% 6.72/1.57 (![X0 : $i, X1 : $i]:
% 6.72/1.57 (((multiply @ (inverse @ X1) @ sk_c10) != (identity))
% 6.72/1.57 | ((multiply @ (inverse @ X0) @ sk_c10) != (identity)))),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl14186])).
% 6.72/1.57 thf(zip_derived_cl14249, plain,
% 6.72/1.57 (![X0 : $i]: ((multiply @ (inverse @ X0) @ sk_c10) != (identity))),
% 6.72/1.57 inference('condensation', [status(thm)], [zip_derived_cl14187])).
% 6.72/1.57 thf(zip_derived_cl14250, plain, (((identity) != (identity))),
% 6.72/1.57 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl14249])).
% 6.72/1.57 thf(zip_derived_cl14254, plain, ($false),
% 6.72/1.57 inference('simplify', [status(thm)], [zip_derived_cl14250])).
% 6.72/1.57
% 6.72/1.57 % SZS output end Refutation
% 6.72/1.57
% 6.72/1.57
% 6.72/1.57 % Terminating...
% 7.26/1.66 % Runner terminated.
% 7.26/1.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------