TSTP Solution File: GRP228-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP228-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.60G91kd2nJ true
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:50:48 EDT 2023
% Result : Unsatisfiable 7.35s 1.67s
% Output : Refutation 7.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP228-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.60G91kd2nJ true
% 0.13/0.35 % Computer : n012.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 : Mon Aug 28 22:54:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 7.35/1.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 7.35/1.67 % Solved by fo/fo7.sh.
% 7.35/1.67 % done 1922 iterations in 0.863s
% 7.35/1.67 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.35/1.67 % SZS output start Refutation
% 7.35/1.67 thf(sk_c9_type, type, sk_c9: $i).
% 7.35/1.67 thf(sk_c3_type, type, sk_c3: $i).
% 7.35/1.67 thf(sk_c8_type, type, sk_c8: $i).
% 7.35/1.67 thf(sk_c5_type, type, sk_c5: $i).
% 7.35/1.67 thf(identity_type, type, identity: $i).
% 7.35/1.67 thf(multiply_type, type, multiply: $i > $i > $i).
% 7.35/1.67 thf(sk_c10_type, type, sk_c10: $i).
% 7.35/1.67 thf(inverse_type, type, inverse: $i > $i).
% 7.35/1.67 thf(sk_c2_type, type, sk_c2: $i).
% 7.35/1.67 thf(sk_c6_type, type, sk_c6: $i).
% 7.35/1.67 thf(sk_c1_type, type, sk_c1: $i).
% 7.35/1.67 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 7.35/1.67 thf(zip_derived_cl0, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_identity])).
% 7.35/1.67 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 7.35/1.67 thf(zip_derived_cl1, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_inverse])).
% 7.35/1.67 thf(associativity, axiom,
% 7.35/1.67 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 7.35/1.67 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 7.35/1.67 thf(zip_derived_cl2, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.35/1.67 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.35/1.67 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.35/1.67 inference('cnf', [status(esa)], [associativity])).
% 7.35/1.67 thf(zip_derived_cl118, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 ((multiply @ identity @ X0)
% 7.35/1.67 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 7.35/1.67 thf(zip_derived_cl0, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_identity])).
% 7.35/1.67 thf(zip_derived_cl148, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl0])).
% 7.35/1.67 thf(zip_derived_cl161, plain,
% 7.35/1.67 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl148])).
% 7.35/1.67 thf(zip_derived_cl148, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl0])).
% 7.35/1.67 thf(zip_derived_cl209, plain,
% 7.35/1.67 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl161, zip_derived_cl148])).
% 7.35/1.67 thf(zip_derived_cl1, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_inverse])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(prove_this_46, conjecture,
% 7.35/1.67 (~( ( ( multiply @ X7 @ X2 ) != ( X8 ) ) |
% 7.35/1.67 ( ( inverse @ X8 ) != ( X2 ) ) | ( ( inverse @ X7 ) != ( X8 ) ) |
% 7.35/1.67 ( ( multiply @ X2 @ sk_c9 ) != ( sk_c10 ) ) |
% 7.35/1.67 ( ( inverse @ X3 ) != ( X2 ) ) |
% 7.35/1.67 ( ( multiply @ X3 @ X2 ) != ( sk_c10 ) ) |
% 7.35/1.67 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 7.35/1.67 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 7.35/1.67 ( ( inverse @ sk_c10 ) != ( sk_c9 ) ) |
% 7.35/1.67 ( ( inverse @ X6 ) != ( sk_c10 ) ) |
% 7.35/1.67 ( ( multiply @ X6 @ sk_c10 ) != ( X5 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c10 @ X5 ) != ( sk_c9 ) ) |
% 7.35/1.67 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c10 ) ) |
% 7.35/1.67 ( ( inverse @ X4 ) != ( sk_c10 ) ) ))).
% 7.35/1.67 thf(zf_stmt_0, negated_conjecture,
% 7.35/1.67 (( ( multiply @ X7 @ X2 ) != ( X8 ) ) | ( ( inverse @ X8 ) != ( X2 ) ) |
% 7.35/1.67 ( ( inverse @ X7 ) != ( X8 ) ) |
% 7.35/1.67 ( ( multiply @ X2 @ sk_c9 ) != ( sk_c10 ) ) |
% 7.35/1.67 ( ( inverse @ X3 ) != ( X2 ) ) |
% 7.35/1.67 ( ( multiply @ X3 @ X2 ) != ( sk_c10 ) ) |
% 7.35/1.67 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 7.35/1.67 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 7.35/1.67 ( ( inverse @ sk_c10 ) != ( sk_c9 ) ) |
% 7.35/1.67 ( ( inverse @ X6 ) != ( sk_c10 ) ) |
% 7.35/1.67 ( ( multiply @ X6 @ sk_c10 ) != ( X5 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c10 @ X5 ) != ( sk_c9 ) ) |
% 7.35/1.67 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c10 ) ) |
% 7.35/1.67 ( ( inverse @ X4 ) != ( sk_c10 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_46])).
% 7.35/1.67 thf(zip_derived_cl48, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.35/1.67 (((multiply @ X1 @ X2) != (X0))
% 7.35/1.67 | ((inverse @ X0) != (X2))
% 7.35/1.67 | ((inverse @ X1) != (X0))
% 7.35/1.67 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 7.35/1.67 | ((inverse @ X3) != (X2))
% 7.35/1.67 | ((multiply @ X3 @ X2) != (sk_c10))
% 7.35/1.67 | ((multiply @ X4 @ sk_c9) != (sk_c10))
% 7.35/1.67 | ((inverse @ X4) != (sk_c10))
% 7.35/1.67 | ((inverse @ sk_c10) != (sk_c9))
% 7.35/1.67 | ((inverse @ X5) != (sk_c10))
% 7.35/1.67 | ((multiply @ X5 @ sk_c10) != (X6))
% 7.35/1.67 | ((multiply @ sk_c10 @ X6) != (sk_c9))
% 7.35/1.67 | ((multiply @ X7 @ sk_c9) != (sk_c10))
% 7.35/1.67 | ((inverse @ X7) != (sk_c10)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.35/1.67 thf(zip_derived_cl49, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.35/1.67 (((multiply @ X1 @ X2) != (X0))
% 7.35/1.67 | ((inverse @ X0) != (X2))
% 7.35/1.67 | ((inverse @ X1) != (X0))
% 7.35/1.67 | ((multiply @ X2 @ (inverse @ sk_c10)) != (sk_c10))
% 7.35/1.67 | ((inverse @ X3) != (X2))
% 7.35/1.67 | ((multiply @ X3 @ X2) != (sk_c10))
% 7.35/1.67 | ((multiply @ X4 @ (inverse @ sk_c10)) != (sk_c10))
% 7.35/1.67 | ((inverse @ X4) != (sk_c10))
% 7.35/1.67 | ((inverse @ sk_c10) != (sk_c9))
% 7.35/1.67 | ((inverse @ X5) != (sk_c10))
% 7.35/1.67 | ((multiply @ X5 @ sk_c10) != (X6))
% 7.35/1.67 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 7.35/1.67 | ((multiply @ X7 @ (inverse @ sk_c10)) != (sk_c10))
% 7.35/1.67 | ((inverse @ X7) != (sk_c10)))),
% 7.35/1.67 inference('local_rewriting', [status(thm)], [zip_derived_cl48])).
% 7.35/1.67 thf(prove_this_5, conjecture,
% 7.35/1.67 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 7.35/1.67 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 7.35/1.67 thf(zf_stmt_1, negated_conjecture,
% 7.35/1.67 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 7.35/1.67 thf(zip_derived_cl7, plain,
% 7.35/1.67 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c10)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.35/1.67 thf(prove_this_4, conjecture,
% 7.35/1.67 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c10 ) ) |
% 7.35/1.67 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 7.35/1.67 thf(zf_stmt_2, negated_conjecture,
% 7.35/1.67 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c10 ) ) |
% 7.35/1.67 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 7.35/1.67 thf(zip_derived_cl6, plain,
% 7.35/1.67 ((((multiply @ sk_c5 @ sk_c8) = (sk_c10))
% 7.35/1.67 | ((inverse @ sk_c1) = (sk_c10)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.35/1.67 thf(zip_derived_cl69, plain,
% 7.35/1.67 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c10))
% 7.35/1.67 | ((inverse @ sk_c1) = (sk_c10))
% 7.35/1.67 | ((inverse @ sk_c1) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 7.35/1.67 thf(zip_derived_cl71, plain,
% 7.35/1.67 ((((inverse @ sk_c1) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c10)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl69])).
% 7.35/1.67 thf(zip_derived_cl1, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_inverse])).
% 7.35/1.67 thf(zip_derived_cl148, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl0])).
% 7.35/1.67 thf(zip_derived_cl162, plain,
% 7.35/1.67 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl148])).
% 7.35/1.67 thf(zip_derived_cl148, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl0])).
% 7.35/1.67 thf(zip_derived_cl148, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl0])).
% 7.35/1.67 thf(zip_derived_cl159, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl148])).
% 7.35/1.67 thf(zip_derived_cl1360, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 7.35/1.67 thf(zip_derived_cl162, plain,
% 7.35/1.67 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl148])).
% 7.35/1.67 thf(zip_derived_cl1420, plain,
% 7.35/1.67 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1360, zip_derived_cl162])).
% 7.35/1.67 thf(zip_derived_cl1, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_inverse])).
% 7.35/1.67 thf(zip_derived_cl1451, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1420, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl1949, plain,
% 7.35/1.67 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl1451])).
% 7.35/1.67 thf(zip_derived_cl1949, plain,
% 7.35/1.67 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl1451])).
% 7.35/1.67 thf(zip_derived_cl1949, plain,
% 7.35/1.67 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl1451])).
% 7.35/1.67 thf(prove_this_41, conjecture,
% 7.35/1.67 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 7.35/1.67 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 7.35/1.67 thf(zf_stmt_3, negated_conjecture,
% 7.35/1.67 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_41])).
% 7.35/1.67 thf(zip_derived_cl43, plain,
% 7.35/1.67 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c10)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.35/1.67 thf(prove_this_32, conjecture,
% 7.35/1.67 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c3 ) ) ))).
% 7.35/1.67 thf(zf_stmt_4, negated_conjecture,
% 7.35/1.67 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c3 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 7.35/1.67 thf(zip_derived_cl34, plain,
% 7.35/1.67 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c10) = (sk_c3)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.35/1.67 thf(zip_derived_cl148, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl0])).
% 7.35/1.67 thf(zip_derived_cl188, plain,
% 7.35/1.67 ((((sk_c10) = (multiply @ (inverse @ sk_c2) @ sk_c3))
% 7.35/1.67 | ((inverse @ sk_c5) = (sk_c8)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl148])).
% 7.35/1.67 thf(zip_derived_cl1065, plain,
% 7.35/1.67 ((((sk_c10) = (multiply @ sk_c10 @ sk_c3))
% 7.35/1.67 | ((inverse @ sk_c5) = (sk_c8))
% 7.35/1.67 | ((inverse @ sk_c5) = (sk_c8)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl188])).
% 7.35/1.67 thf(zip_derived_cl1078, plain,
% 7.35/1.67 ((((inverse @ sk_c5) = (sk_c8))
% 7.35/1.67 | ((sk_c10) = (multiply @ sk_c10 @ sk_c3)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl1065])).
% 7.35/1.67 thf(prove_this_23, conjecture,
% 7.35/1.67 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c10 @ sk_c3 ) = ( sk_c9 ) ) ))).
% 7.35/1.67 thf(zf_stmt_5, negated_conjecture,
% 7.35/1.67 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c10 @ sk_c3 ) = ( sk_c9 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 7.35/1.67 thf(zip_derived_cl25, plain,
% 7.35/1.67 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c10 @ sk_c3) = (sk_c9)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_5])).
% 7.35/1.67 thf(zip_derived_cl1162, plain,
% 7.35/1.67 ((((sk_c10) = (sk_c9))
% 7.35/1.67 | ((inverse @ sk_c5) = (sk_c8))
% 7.35/1.67 | ((inverse @ sk_c5) = (sk_c8)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1078, zip_derived_cl25])).
% 7.35/1.67 thf(zip_derived_cl1182, plain,
% 7.35/1.67 ((((inverse @ sk_c5) = (sk_c8)) | ((sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl1162])).
% 7.35/1.67 thf(prove_this_40, conjecture,
% 7.35/1.67 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c10 ) ) |
% 7.35/1.67 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 7.35/1.67 thf(zf_stmt_6, negated_conjecture,
% 7.35/1.67 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c10 ) ) |
% 7.35/1.67 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_40])).
% 7.35/1.67 thf(zip_derived_cl42, plain,
% 7.35/1.67 ((((multiply @ sk_c5 @ sk_c8) = (sk_c10))
% 7.35/1.67 | ((inverse @ sk_c2) = (sk_c10)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_6])).
% 7.35/1.67 thf(zip_derived_cl1420, plain,
% 7.35/1.67 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1360, zip_derived_cl162])).
% 7.35/1.67 thf(zip_derived_cl1472, plain,
% 7.35/1.67 ((((sk_c2) = (inverse @ sk_c10))
% 7.35/1.67 | ((multiply @ sk_c5 @ sk_c8) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl1420])).
% 7.35/1.67 thf(prove_this_31, conjecture,
% 7.35/1.67 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c10 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c3 ) ) ))).
% 7.35/1.67 thf(zf_stmt_7, negated_conjecture,
% 7.35/1.67 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c10 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c3 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 7.35/1.67 thf(zip_derived_cl33, plain,
% 7.35/1.67 ((((multiply @ sk_c5 @ sk_c8) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c2 @ sk_c10) = (sk_c3)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_7])).
% 7.35/1.67 thf(zip_derived_cl2209, plain,
% 7.35/1.67 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c3))
% 7.35/1.67 | ((multiply @ sk_c5 @ sk_c8) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c5 @ sk_c8) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1472, zip_derived_cl33])).
% 7.35/1.67 thf(zip_derived_cl1, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_inverse])).
% 7.35/1.67 thf(zip_derived_cl2239, plain,
% 7.35/1.67 ((((identity) = (sk_c3))
% 7.35/1.67 | ((multiply @ sk_c5 @ sk_c8) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c5 @ sk_c8) = (sk_c10)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl2209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl2240, plain,
% 7.35/1.67 ((((multiply @ sk_c5 @ sk_c8) = (sk_c10)) | ((identity) = (sk_c3)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl2239])).
% 7.35/1.67 thf(prove_this_22, conjecture,
% 7.35/1.67 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c10 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c10 @ sk_c3 ) = ( sk_c9 ) ) ))).
% 7.35/1.67 thf(zf_stmt_8, negated_conjecture,
% 7.35/1.67 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c10 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c10 @ sk_c3 ) = ( sk_c9 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 7.35/1.67 thf(zip_derived_cl24, plain,
% 7.35/1.67 ((((multiply @ sk_c5 @ sk_c8) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c10 @ sk_c3) = (sk_c9)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_8])).
% 7.35/1.67 thf(zip_derived_cl2316, plain,
% 7.35/1.67 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 7.35/1.67 | ((multiply @ sk_c5 @ sk_c8) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c5 @ sk_c8) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl2240, zip_derived_cl24])).
% 7.35/1.67 thf(zip_derived_cl1360, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 7.35/1.67 thf(zip_derived_cl2337, plain,
% 7.35/1.67 ((((sk_c10) = (sk_c9))
% 7.35/1.67 | ((multiply @ sk_c5 @ sk_c8) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c5 @ sk_c8) = (sk_c10)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl2316, zip_derived_cl1360])).
% 7.35/1.67 thf(zip_derived_cl2338, plain,
% 7.35/1.67 ((((multiply @ sk_c5 @ sk_c8) = (sk_c10)) | ((sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl2337])).
% 7.35/1.67 thf(zip_derived_cl2587, plain,
% 7.35/1.67 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c10))
% 7.35/1.67 | ((sk_c10) = (sk_c9))
% 7.35/1.67 | ((sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1182, zip_derived_cl2338])).
% 7.35/1.67 thf(zip_derived_cl1451, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1420, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl2591, plain,
% 7.35/1.67 ((((identity) = (sk_c10)) | ((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl2587, zip_derived_cl1451])).
% 7.35/1.67 thf(zip_derived_cl2592, plain,
% 7.35/1.67 ((((sk_c10) = (sk_c9)) | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl2591])).
% 7.35/1.67 thf(prove_this_10, conjecture,
% 7.35/1.67 (~( ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 7.35/1.67 thf(zf_stmt_9, negated_conjecture,
% 7.35/1.67 (( ( inverse @ sk_c10 ) = ( sk_c9 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 7.35/1.67 thf(zip_derived_cl12, plain,
% 7.35/1.67 ((((inverse @ sk_c10) = (sk_c9))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_9])).
% 7.35/1.67 thf(zip_derived_cl2596, plain,
% 7.35/1.67 ((((multiply @ sk_c1 @ sk_c10) = (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((inverse @ sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl2592, zip_derived_cl12])).
% 7.35/1.67 thf(zip_derived_cl2592, plain,
% 7.35/1.67 ((((sk_c10) = (sk_c9)) | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl2591])).
% 7.35/1.67 thf(zip_derived_cl4798, plain,
% 7.35/1.67 ((((sk_c10) = (inverse @ sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c10) = (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl2596, zip_derived_cl2592])).
% 7.35/1.67 thf(zip_derived_cl4804, plain,
% 7.35/1.67 ((((multiply @ sk_c1 @ sk_c10) = (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((sk_c10) = (inverse @ sk_c10)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl4798])).
% 7.35/1.67 thf(zip_derived_cl7121, plain,
% 7.35/1.67 ((((sk_c10) = (inverse @ (inverse @ sk_c1)))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c10) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1949, zip_derived_cl4804])).
% 7.35/1.67 thf(zip_derived_cl1420, plain,
% 7.35/1.67 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1360, zip_derived_cl162])).
% 7.35/1.67 thf(zip_derived_cl7122, plain,
% 7.35/1.67 ((((sk_c10) = (sk_c1))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c10) = (sk_c10)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl7121, zip_derived_cl1420])).
% 7.35/1.67 thf(zip_derived_cl7123, plain,
% 7.35/1.67 ((((multiply @ sk_c1 @ sk_c10) = (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((sk_c10) = (sk_c1)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl7122])).
% 7.35/1.67 thf(zip_derived_cl7132, plain,
% 7.35/1.67 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((sk_c10) = (sk_c1))
% 7.35/1.67 | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1949, zip_derived_cl7123])).
% 7.35/1.67 thf(zip_derived_cl1451, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1420, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl7133, plain,
% 7.35/1.67 ((((identity) = (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((sk_c10) = (sk_c1))
% 7.35/1.67 | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl7132, zip_derived_cl1451])).
% 7.35/1.67 thf(zip_derived_cl7134, plain,
% 7.35/1.67 ((((sk_c10) = (sk_c1)) | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl7133])).
% 7.35/1.67 thf(prove_this_37, conjecture,
% 7.35/1.67 (~( ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) |
% 7.35/1.67 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 7.35/1.67 thf(zf_stmt_10, negated_conjecture,
% 7.35/1.67 (( ( inverse @ sk_c10 ) = ( sk_c9 ) ) |
% 7.35/1.67 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 7.35/1.67 thf(zip_derived_cl39, plain,
% 7.35/1.67 ((((inverse @ sk_c10) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c10)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_10])).
% 7.35/1.67 thf(zip_derived_cl1, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_inverse])).
% 7.35/1.67 thf(zip_derived_cl60, plain,
% 7.35/1.67 ((((multiply @ sk_c10 @ sk_c2) = (identity))
% 7.35/1.67 | ((inverse @ sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl148, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl0])).
% 7.35/1.67 thf(zip_derived_cl173, plain,
% 7.35/1.67 ((((sk_c2) = (multiply @ (inverse @ sk_c10) @ identity))
% 7.35/1.67 | ((inverse @ sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl148])).
% 7.35/1.67 thf(prove_this_28, conjecture,
% 7.35/1.67 (~( ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c3 ) ) ))).
% 7.35/1.67 thf(zf_stmt_11, negated_conjecture,
% 7.35/1.67 (( ( inverse @ sk_c10 ) = ( sk_c9 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c3 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 7.35/1.67 thf(zip_derived_cl30, plain,
% 7.35/1.67 ((((inverse @ sk_c10) = (sk_c9))
% 7.35/1.67 | ((multiply @ sk_c2 @ sk_c10) = (sk_c3)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_11])).
% 7.35/1.67 thf(zip_derived_cl344, plain,
% 7.35/1.67 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 7.35/1.67 = (sk_c3))
% 7.35/1.67 | ((inverse @ sk_c10) = (sk_c9))
% 7.35/1.67 | ((inverse @ sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl173, zip_derived_cl30])).
% 7.35/1.67 thf(zip_derived_cl2, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.35/1.67 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 7.35/1.67 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 7.35/1.67 inference('cnf', [status(esa)], [associativity])).
% 7.35/1.67 thf(zip_derived_cl0, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_identity])).
% 7.35/1.67 thf(zip_derived_cl1, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_inverse])).
% 7.35/1.67 thf(zip_derived_cl368, plain,
% 7.35/1.67 ((((identity) = (sk_c3))
% 7.35/1.67 | ((inverse @ sk_c10) = (sk_c9))
% 7.35/1.67 | ((inverse @ sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl344, zip_derived_cl2, zip_derived_cl0,
% 7.35/1.67 zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl369, plain,
% 7.35/1.67 ((((inverse @ sk_c10) = (sk_c9)) | ((identity) = (sk_c3)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl368])).
% 7.35/1.67 thf(prove_this_19, conjecture,
% 7.35/1.67 (~( ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c10 @ sk_c3 ) = ( sk_c9 ) ) ))).
% 7.35/1.67 thf(zf_stmt_12, negated_conjecture,
% 7.35/1.67 (( ( inverse @ sk_c10 ) = ( sk_c9 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c10 @ sk_c3 ) = ( sk_c9 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 7.35/1.67 thf(zip_derived_cl21, plain,
% 7.35/1.67 ((((inverse @ sk_c10) = (sk_c9))
% 7.35/1.67 | ((multiply @ sk_c10 @ sk_c3) = (sk_c9)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_12])).
% 7.35/1.67 thf(zip_derived_cl380, plain,
% 7.35/1.67 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 7.35/1.67 | ((inverse @ sk_c10) = (sk_c9))
% 7.35/1.67 | ((inverse @ sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl21])).
% 7.35/1.67 thf(zip_derived_cl394, plain,
% 7.35/1.67 ((((inverse @ sk_c10) = (sk_c9))
% 7.35/1.67 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl380])).
% 7.35/1.67 thf(zip_derived_cl402, plain,
% 7.35/1.67 ((((inverse @ sk_c10) != (multiply @ sk_c10 @ identity))
% 7.35/1.67 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 7.35/1.67 inference('eq_fact', [status(thm)], [zip_derived_cl394])).
% 7.35/1.67 thf(zip_derived_cl1360, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 7.35/1.67 thf(zip_derived_cl1360, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 7.35/1.67 thf(zip_derived_cl1401, plain,
% 7.35/1.67 ((((inverse @ sk_c10) != (sk_c10)) | ((sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl402, zip_derived_cl1360, zip_derived_cl1360])).
% 7.35/1.67 thf(zip_derived_cl7179, plain,
% 7.35/1.67 ((((inverse @ sk_c1) != (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('sup-', [status(thm)], [zip_derived_cl7134, zip_derived_cl1401])).
% 7.35/1.67 thf(zip_derived_cl7218, plain,
% 7.35/1.67 ((((inverse @ sk_c1) != (sk_c10))
% 7.35/1.67 | ((identity) = (inverse @ sk_c1))
% 7.35/1.67 | ((inverse @ sk_c1) = (sk_c9)))),
% 7.35/1.67 inference('local_rewriting', [status(thm)], [zip_derived_cl7179])).
% 7.35/1.67 thf(zip_derived_cl7601, plain,
% 7.35/1.67 ((((inverse @ sk_c1) != (inverse @ sk_c1))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((inverse @ sk_c1) = (sk_c9))
% 7.35/1.67 | ((identity) = (inverse @ sk_c1)))),
% 7.35/1.67 inference('sup-', [status(thm)], [zip_derived_cl1949, zip_derived_cl7218])).
% 7.35/1.67 thf(zip_derived_cl7604, plain,
% 7.35/1.67 ((((identity) = (inverse @ sk_c1))
% 7.35/1.67 | ((inverse @ sk_c1) = (sk_c9))
% 7.35/1.67 | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl7601])).
% 7.35/1.67 thf(zip_derived_cl1949, plain,
% 7.35/1.67 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl1451])).
% 7.35/1.67 thf(zip_derived_cl2020, plain,
% 7.35/1.67 ((((inverse @ sk_c1) != (identity)) | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('eq_fact', [status(thm)], [zip_derived_cl1949])).
% 7.35/1.67 thf(zip_derived_cl8041, plain,
% 7.35/1.67 ((((identity) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c9)))),
% 7.35/1.67 inference('clc', [status(thm)], [zip_derived_cl7604, zip_derived_cl2020])).
% 7.35/1.67 thf(prove_this_14, conjecture,
% 7.35/1.67 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 7.35/1.67 thf(zf_stmt_13, negated_conjecture,
% 7.35/1.67 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 7.35/1.67 thf(zip_derived_cl16, plain,
% 7.35/1.67 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_13])).
% 7.35/1.67 thf(prove_this_17, conjecture,
% 7.35/1.67 (~( ( ( inverse @ sk_c6 ) = ( sk_c8 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 7.35/1.67 thf(zf_stmt_14, negated_conjecture,
% 7.35/1.67 (( ( inverse @ sk_c6 ) = ( sk_c8 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 7.35/1.67 thf(zip_derived_cl19, plain,
% 7.35/1.67 ((((inverse @ sk_c6) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_14])).
% 7.35/1.67 thf(zip_derived_cl1, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_inverse])).
% 7.35/1.67 thf(zip_derived_cl79, plain,
% 7.35/1.67 ((((multiply @ sk_c8 @ sk_c6) = (identity))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl799, plain,
% 7.35/1.67 ((((multiply @ (inverse @ sk_c5) @ sk_c6) = (identity))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl79])).
% 7.35/1.67 thf(zip_derived_cl805, plain,
% 7.35/1.67 ((((multiply @ sk_c1 @ sk_c9) = (sk_c10))
% 7.35/1.67 | ((multiply @ (inverse @ sk_c5) @ sk_c6) = (identity)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl799])).
% 7.35/1.67 thf(zip_derived_cl148, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl0])).
% 7.35/1.67 thf(zip_derived_cl6637, plain,
% 7.35/1.67 ((((sk_c6) = (multiply @ (inverse @ (inverse @ sk_c5)) @ identity))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl805, zip_derived_cl148])).
% 7.35/1.67 thf(zip_derived_cl1420, plain,
% 7.35/1.67 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1360, zip_derived_cl162])).
% 7.35/1.67 thf(zip_derived_cl1360, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 7.35/1.67 thf(zip_derived_cl6659, plain,
% 7.35/1.67 ((((sk_c6) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl6637, zip_derived_cl1420, zip_derived_cl1360])).
% 7.35/1.67 thf(zip_derived_cl19, plain,
% 7.35/1.67 ((((inverse @ sk_c6) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_14])).
% 7.35/1.67 thf(zip_derived_cl1451, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1420, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl1967, plain,
% 7.35/1.67 ((((multiply @ sk_c6 @ sk_c8) = (identity))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1451])).
% 7.35/1.67 thf(zip_derived_cl6682, plain,
% 7.35/1.67 ((((multiply @ sk_c5 @ sk_c8) = (identity))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl6659, zip_derived_cl1967])).
% 7.35/1.67 thf(zip_derived_cl6697, plain,
% 7.35/1.67 ((((multiply @ sk_c1 @ sk_c9) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c5 @ sk_c8) = (identity)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl6682])).
% 7.35/1.67 thf(prove_this_13, conjecture,
% 7.35/1.67 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c10 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 7.35/1.67 thf(zf_stmt_15, negated_conjecture,
% 7.35/1.67 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c10 ) ) |
% 7.35/1.67 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 7.35/1.67 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 7.35/1.67 thf(zip_derived_cl15, plain,
% 7.35/1.67 ((((multiply @ sk_c5 @ sk_c8) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_15])).
% 7.35/1.67 thf(zip_derived_cl15537, plain,
% 7.35/1.67 ((((identity) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10))
% 7.35/1.67 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl6697, zip_derived_cl15])).
% 7.35/1.67 thf(zip_derived_cl15565, plain,
% 7.35/1.67 ((((multiply @ sk_c1 @ sk_c9) = (sk_c10)) | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15537])).
% 7.35/1.67 thf(zip_derived_cl15580, plain,
% 7.35/1.67 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('sup+', [status(thm)],
% 7.35/1.67 [zip_derived_cl8041, zip_derived_cl15565])).
% 7.35/1.67 thf(zip_derived_cl1451, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl1420, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl15591, plain,
% 7.35/1.67 ((((identity) = (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10))
% 7.35/1.67 | ((identity) = (sk_c10)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl15580, zip_derived_cl1451])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl1360, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl1360, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl1360, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl0, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_identity])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl1360, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl15641, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.35/1.67 (((multiply @ X1 @ X2) != (X0))
% 7.35/1.67 | ((inverse @ X0) != (X2))
% 7.35/1.67 | ((inverse @ X1) != (X0))
% 7.35/1.67 | ((X2) != (identity))
% 7.35/1.67 | ((inverse @ X3) != (X2))
% 7.35/1.67 | ((multiply @ X3 @ X2) != (identity))
% 7.35/1.67 | ((X4) != (identity))
% 7.35/1.67 | ((inverse @ X4) != (identity))
% 7.35/1.67 | ((identity) != (sk_c9))
% 7.35/1.67 | ((inverse @ X5) != (identity))
% 7.35/1.67 | ((X5) != (X6))
% 7.35/1.67 | ((X6) != (identity))
% 7.35/1.67 | ((X7) != (identity))
% 7.35/1.67 | ((inverse @ X7) != (identity)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl49, zip_derived_cl15592, zip_derived_cl851,
% 7.35/1.67 zip_derived_cl1360, zip_derived_cl15592, zip_derived_cl15592,
% 7.35/1.67 zip_derived_cl15592, zip_derived_cl851, zip_derived_cl1360,
% 7.35/1.67 zip_derived_cl15592, zip_derived_cl15592,
% 7.35/1.67 zip_derived_cl15592, zip_derived_cl851, zip_derived_cl15592,
% 7.35/1.67 zip_derived_cl15592, zip_derived_cl1360, zip_derived_cl15592,
% 7.35/1.67 zip_derived_cl0, zip_derived_cl15592, zip_derived_cl851,
% 7.35/1.67 zip_derived_cl15592, zip_derived_cl851, zip_derived_cl1360,
% 7.35/1.67 zip_derived_cl15592, zip_derived_cl15592])).
% 7.35/1.67 thf(zip_derived_cl369, plain,
% 7.35/1.67 ((((inverse @ sk_c10) = (sk_c9)) | ((identity) = (sk_c3)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl368])).
% 7.35/1.67 thf(zip_derived_cl21, plain,
% 7.35/1.67 ((((inverse @ sk_c10) = (sk_c9))
% 7.35/1.67 | ((multiply @ sk_c10 @ sk_c3) = (sk_c9)))),
% 7.35/1.67 inference('cnf', [status(esa)], [zf_stmt_12])).
% 7.35/1.67 thf(zip_derived_cl148, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 7.35/1.67 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl0])).
% 7.35/1.67 thf(zip_derived_cl166, plain,
% 7.35/1.67 ((((sk_c3) = (multiply @ (inverse @ sk_c10) @ sk_c9))
% 7.35/1.67 | ((inverse @ sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl148])).
% 7.35/1.67 thf(zip_derived_cl389, plain,
% 7.35/1.67 ((((identity) = (multiply @ (inverse @ sk_c10) @ sk_c9))
% 7.35/1.67 | ((inverse @ sk_c10) = (sk_c9))
% 7.35/1.67 | ((inverse @ sk_c10) = (sk_c9)))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl166])).
% 7.35/1.67 thf(zip_derived_cl395, plain,
% 7.35/1.67 ((((inverse @ sk_c10) = (sk_c9))
% 7.35/1.67 | ((identity) = (multiply @ (inverse @ sk_c10) @ sk_c9)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl389])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl15592, plain, (((identity) = (sk_c10))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15591])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl0, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 7.35/1.67 inference('cnf', [status(esa)], [left_identity])).
% 7.35/1.67 thf(zip_derived_cl15689, plain,
% 7.35/1.67 ((((identity) = (sk_c9)) | ((identity) = (sk_c9)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl395, zip_derived_cl15592, zip_derived_cl851,
% 7.35/1.67 zip_derived_cl15592, zip_derived_cl851, zip_derived_cl0])).
% 7.35/1.67 thf(zip_derived_cl15690, plain, (((identity) = (sk_c9))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15689])).
% 7.35/1.67 thf(zip_derived_cl15951, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.35/1.67 (((multiply @ X1 @ X2) != (X0))
% 7.35/1.67 | ((inverse @ X0) != (X2))
% 7.35/1.67 | ((inverse @ X1) != (X0))
% 7.35/1.67 | ((X2) != (identity))
% 7.35/1.67 | ((inverse @ X3) != (X2))
% 7.35/1.67 | ((multiply @ X3 @ X2) != (identity))
% 7.35/1.67 | ((X4) != (identity))
% 7.35/1.67 | ((inverse @ X4) != (identity))
% 7.35/1.67 | ((identity) != (identity))
% 7.35/1.67 | ((inverse @ X5) != (identity))
% 7.35/1.67 | ((X5) != (X6))
% 7.35/1.67 | ((X6) != (identity))
% 7.35/1.67 | ((X7) != (identity))
% 7.35/1.67 | ((inverse @ X7) != (identity)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl15641, zip_derived_cl15690])).
% 7.35/1.67 thf(zip_derived_cl15952, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 7.35/1.67 (((inverse @ X7) != (identity))
% 7.35/1.67 | ((X7) != (identity))
% 7.35/1.67 | ((X6) != (identity))
% 7.35/1.67 | ((X5) != (X6))
% 7.35/1.67 | ((inverse @ X5) != (identity))
% 7.35/1.67 | ((inverse @ X4) != (identity))
% 7.35/1.67 | ((X4) != (identity))
% 7.35/1.67 | ((multiply @ X3 @ X2) != (identity))
% 7.35/1.67 | ((inverse @ X3) != (X2))
% 7.35/1.67 | ((X2) != (identity))
% 7.35/1.67 | ((inverse @ X1) != (X0))
% 7.35/1.67 | ((inverse @ X0) != (X2))
% 7.35/1.67 | ((multiply @ X1 @ X2) != (X0)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15951])).
% 7.35/1.67 thf(zip_derived_cl15953, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 7.35/1.67 (((multiply @ X1 @ X0) != (X2))
% 7.35/1.67 | ((inverse @ X2) != (X0))
% 7.35/1.67 | ((inverse @ X1) != (X2))
% 7.35/1.67 | ((X0) != (identity))
% 7.35/1.67 | ((inverse @ X3) != (X0))
% 7.35/1.67 | ((multiply @ X3 @ X0) != (identity))
% 7.35/1.67 | ((X4) != (identity))
% 7.35/1.67 | ((inverse @ X4) != (identity))
% 7.35/1.67 | ((inverse @ X5) != (identity))
% 7.35/1.67 | ((X5) != (identity))
% 7.35/1.67 | ((X6) != (identity))
% 7.35/1.67 | ((inverse @ X6) != (identity)))),
% 7.35/1.67 inference('eq_res', [status(thm)], [zip_derived_cl15952])).
% 7.35/1.67 thf(zip_derived_cl15954, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.35/1.67 (((inverse @ X0) != (identity))
% 7.35/1.67 | ((X0) != (identity))
% 7.35/1.67 | ((X1) != (identity))
% 7.35/1.67 | ((inverse @ X1) != (identity))
% 7.35/1.67 | ((inverse @ X2) != (identity))
% 7.35/1.67 | ((X2) != (identity))
% 7.35/1.67 | ((multiply @ X3 @ identity) != (identity))
% 7.35/1.67 | ((inverse @ X3) != (identity))
% 7.35/1.67 | ((inverse @ X4) != (X5))
% 7.35/1.67 | ((inverse @ X5) != (identity))
% 7.35/1.67 | ((multiply @ X4 @ identity) != (X5)))),
% 7.35/1.67 inference('eq_res', [status(thm)], [zip_derived_cl15953])).
% 7.35/1.67 thf(zip_derived_cl1360, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 7.35/1.67 thf(zip_derived_cl1360, plain,
% 7.35/1.67 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 7.35/1.67 thf(zip_derived_cl15955, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.35/1.67 (((inverse @ X0) != (identity))
% 7.35/1.67 | ((X0) != (identity))
% 7.35/1.67 | ((X1) != (identity))
% 7.35/1.67 | ((inverse @ X1) != (identity))
% 7.35/1.67 | ((inverse @ X2) != (identity))
% 7.35/1.67 | ((X2) != (identity))
% 7.35/1.67 | ((X3) != (identity))
% 7.35/1.67 | ((inverse @ X3) != (identity))
% 7.35/1.67 | ((inverse @ X4) != (X5))
% 7.35/1.67 | ((inverse @ X5) != (identity))
% 7.35/1.67 | ((X4) != (X5)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl15954, zip_derived_cl1360, zip_derived_cl1360])).
% 7.35/1.67 thf(zip_derived_cl15956, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.35/1.67 (((inverse @ X0) != (identity))
% 7.35/1.67 | ((inverse @ X0) != (X0))
% 7.35/1.67 | ((inverse @ X1) != (identity))
% 7.35/1.67 | ((X1) != (identity))
% 7.35/1.67 | ((X2) != (identity))
% 7.35/1.67 | ((inverse @ X2) != (identity))
% 7.35/1.67 | ((inverse @ X3) != (identity))
% 7.35/1.67 | ((X3) != (identity))
% 7.35/1.67 | ((X4) != (identity))
% 7.35/1.67 | ((inverse @ X4) != (identity)))),
% 7.35/1.67 inference('eq_res', [status(thm)], [zip_derived_cl15955])).
% 7.35/1.67 thf(zip_derived_cl15957, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.35/1.67 (((inverse @ X0) != (identity))
% 7.35/1.67 | ((X0) != (identity))
% 7.35/1.67 | ((X1) != (identity))
% 7.35/1.67 | ((inverse @ X1) != (identity))
% 7.35/1.67 | ((inverse @ X2) != (identity))
% 7.35/1.67 | ((X2) != (identity))
% 7.35/1.67 | ((inverse @ identity) != (identity))
% 7.35/1.67 | ((inverse @ X3) != (X3))
% 7.35/1.67 | ((inverse @ X3) != (identity)))),
% 7.35/1.67 inference('eq_res', [status(thm)], [zip_derived_cl15956])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl15958, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.35/1.67 (((inverse @ X0) != (identity))
% 7.35/1.67 | ((X0) != (identity))
% 7.35/1.67 | ((X1) != (identity))
% 7.35/1.67 | ((inverse @ X1) != (identity))
% 7.35/1.67 | ((inverse @ X2) != (identity))
% 7.35/1.67 | ((X2) != (identity))
% 7.35/1.67 | ((identity) != (identity))
% 7.35/1.67 | ((inverse @ X3) != (X3))
% 7.35/1.67 | ((inverse @ X3) != (identity)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl15957, zip_derived_cl851])).
% 7.35/1.67 thf(zip_derived_cl15959, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.35/1.67 (((inverse @ X3) != (identity))
% 7.35/1.67 | ((inverse @ X3) != (X3))
% 7.35/1.67 | ((X2) != (identity))
% 7.35/1.67 | ((inverse @ X2) != (identity))
% 7.35/1.67 | ((inverse @ X1) != (identity))
% 7.35/1.67 | ((X1) != (identity))
% 7.35/1.67 | ((X0) != (identity))
% 7.35/1.67 | ((inverse @ X0) != (identity)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15958])).
% 7.35/1.67 thf(zip_derived_cl15960, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.35/1.67 (((inverse @ X0) != (identity))
% 7.35/1.67 | ((X0) != (identity))
% 7.35/1.67 | ((X1) != (identity))
% 7.35/1.67 | ((inverse @ X1) != (identity))
% 7.35/1.67 | ((inverse @ identity) != (identity))
% 7.35/1.67 | ((inverse @ X2) != (X2))
% 7.35/1.67 | ((inverse @ X2) != (identity)))),
% 7.35/1.67 inference('eq_res', [status(thm)], [zip_derived_cl15959])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl15961, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.35/1.67 (((inverse @ X0) != (identity))
% 7.35/1.67 | ((X0) != (identity))
% 7.35/1.67 | ((X1) != (identity))
% 7.35/1.67 | ((inverse @ X1) != (identity))
% 7.35/1.67 | ((identity) != (identity))
% 7.35/1.67 | ((inverse @ X2) != (X2))
% 7.35/1.67 | ((inverse @ X2) != (identity)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl15960, zip_derived_cl851])).
% 7.35/1.67 thf(zip_derived_cl15962, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.35/1.67 (((inverse @ X2) != (identity))
% 7.35/1.67 | ((inverse @ X2) != (X2))
% 7.35/1.67 | ((inverse @ X1) != (identity))
% 7.35/1.67 | ((X1) != (identity))
% 7.35/1.67 | ((X0) != (identity))
% 7.35/1.67 | ((inverse @ X0) != (identity)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl15961])).
% 7.35/1.67 thf(zip_derived_cl15999, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 (((inverse @ X0) != (identity))
% 7.35/1.67 | ((X0) != (identity))
% 7.35/1.67 | ((inverse @ identity) != (identity))
% 7.35/1.67 | ((inverse @ X1) != (X1))
% 7.35/1.67 | ((inverse @ X1) != (identity)))),
% 7.35/1.67 inference('eq_res', [status(thm)], [zip_derived_cl15962])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl16000, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 (((inverse @ X0) != (identity))
% 7.35/1.67 | ((X0) != (identity))
% 7.35/1.67 | ((identity) != (identity))
% 7.35/1.67 | ((inverse @ X1) != (X1))
% 7.35/1.67 | ((inverse @ X1) != (identity)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl15999, zip_derived_cl851])).
% 7.35/1.67 thf(zip_derived_cl16001, plain,
% 7.35/1.67 (![X0 : $i, X1 : $i]:
% 7.35/1.67 (((inverse @ X1) != (identity))
% 7.35/1.67 | ((inverse @ X1) != (X1))
% 7.35/1.67 | ((X0) != (identity))
% 7.35/1.67 | ((inverse @ X0) != (identity)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl16000])).
% 7.35/1.67 thf(zip_derived_cl16002, plain,
% 7.35/1.67 (![X0 : $i]:
% 7.35/1.67 (((inverse @ identity) != (identity))
% 7.35/1.67 | ((inverse @ X0) != (X0))
% 7.35/1.67 | ((inverse @ X0) != (identity)))),
% 7.35/1.67 inference('eq_res', [status(thm)], [zip_derived_cl16001])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl16003, plain,
% 7.35/1.67 (![X0 : $i]:
% 7.35/1.67 (((identity) != (identity))
% 7.35/1.67 | ((inverse @ X0) != (X0))
% 7.35/1.67 | ((inverse @ X0) != (identity)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl16002, zip_derived_cl851])).
% 7.35/1.67 thf(zip_derived_cl16004, plain,
% 7.35/1.67 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((inverse @ X0) != (X0)))),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl16003])).
% 7.35/1.67 thf(zip_derived_cl16005, plain,
% 7.35/1.67 ((((identity) != (identity)) | ((inverse @ identity) != (identity)))),
% 7.35/1.67 inference('sup-', [status(thm)], [zip_derived_cl851, zip_derived_cl16004])).
% 7.35/1.67 thf(zip_derived_cl851, plain, (((inverse @ identity) = (identity))),
% 7.35/1.67 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl1])).
% 7.35/1.67 thf(zip_derived_cl16007, plain,
% 7.35/1.67 ((((identity) != (identity)) | ((identity) != (identity)))),
% 7.35/1.67 inference('demod', [status(thm)],
% 7.35/1.67 [zip_derived_cl16005, zip_derived_cl851])).
% 7.35/1.67 thf(zip_derived_cl16008, plain, ($false),
% 7.35/1.67 inference('simplify', [status(thm)], [zip_derived_cl16007])).
% 7.35/1.67
% 7.35/1.67 % SZS output end Refutation
% 7.35/1.67
% 7.35/1.67
% 7.35/1.67 % Terminating...
% 7.60/1.78 % Runner terminated.
% 7.60/1.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------