%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP377-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.j2XWLhjW8a true
% Computer : n031.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 04:36:20 PM UTC 2025
% Result : Unsatisfiable 34.32s 5.45s
% Output : Refutation 34.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GRP377-1 : TPTP v9.2.0. Released v2.5.0.
% 0.09/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.j2XWLhjW8a true
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:15:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.18/0.57 % Total configuration time : 435
% 0.18/0.57 % Estimated wc time : 1092
% 0.18/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.86/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.86/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.86/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.86/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.86/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.86/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 34.32/5.45 % Solved by fo/fo7.sh.
% 34.32/5.45 % done 7657 iterations in 4.731s
% 34.32/5.45 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 34.32/5.45 % SZS output start Refutation
% 34.32/5.45 thf(sk_c7_type, type, sk_c7: $i).
% 34.32/5.45 thf(sk_c2_type, type, sk_c2: $i).
% 34.32/5.45 thf(sk_c5_type, type, sk_c5: $i).
% 34.32/5.45 thf(sk_c4_type, type, sk_c4: $i).
% 34.32/5.45 thf(sk_c8_type, type, sk_c8: $i).
% 34.32/5.45 thf(identity_type, type, identity: $i).
% 34.32/5.45 thf(multiply_type, type, multiply: $i > $i > $i).
% 34.32/5.45 thf(sk_c9_type, type, sk_c9: $i).
% 34.32/5.45 thf(inverse_type, type, inverse: $i > $i).
% 34.32/5.45 thf(sk_c3_type, type, sk_c3: $i).
% 34.32/5.45 thf(sk_c1_type, type, sk_c1: $i).
% 34.32/5.45 thf(sk_c6_type, type, sk_c6: $i).
% 34.32/5.45 thf(sk_c10_type, type, sk_c10: $i).
% 34.32/5.45 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 34.32/5.45 thf(zip_derived_cl0, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_identity])).
% 34.32/5.45 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 34.32/5.45 thf(zip_derived_cl1, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_inverse])).
% 34.32/5.45 thf(associativity, axiom,
% 34.32/5.45 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 34.32/5.45 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 34.32/5.45 thf(zip_derived_cl2, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.32/5.45 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 34.32/5.45 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 34.32/5.45 inference('cnf', [status(esa)], [associativity])).
% 34.32/5.45 thf(zip_derived_cl103, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((multiply @ identity @ X0)
% 34.32/5.45 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 34.32/5.45 thf(zip_derived_cl0, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_identity])).
% 34.32/5.45 thf(zip_derived_cl132, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 34.32/5.45 thf(zip_derived_cl147, plain,
% 34.32/5.45 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl132])).
% 34.32/5.45 thf(zip_derived_cl132, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 34.32/5.45 thf(zip_derived_cl195, plain,
% 34.32/5.45 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl132])).
% 34.32/5.45 thf(zip_derived_cl1, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_inverse])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(prove_this_41, conjecture,
% 34.32/5.45 (~( ( ( multiply @ X6 @ X5 ) != ( X7 ) ) |
% 34.32/5.45 ( ( inverse @ X7 ) != ( X5 ) ) | ( ( inverse @ X6 ) != ( X7 ) ) |
% 34.32/5.45 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c10 ) ) |
% 34.32/5.45 ( ( inverse @ X4 ) != ( X5 ) ) |
% 34.32/5.45 ( ( multiply @ X4 @ X5 ) != ( sk_c10 ) ) |
% 34.32/5.45 ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 34.32/5.45 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c8 ) ) |
% 34.32/5.45 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 34.32/5.45 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 34.32/5.45 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c10 ) ) |
% 34.32/5.45 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 34.32/5.45 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 34.32/5.45 ( ( inverse @ sk_c10 ) != ( sk_c9 ) ) ))).
% 34.32/5.45 thf(zf_stmt_0, negated_conjecture,
% 34.32/5.45 (( ( multiply @ X6 @ X5 ) != ( X7 ) ) | ( ( inverse @ X7 ) != ( X5 ) ) |
% 34.32/5.45 ( ( inverse @ X6 ) != ( X7 ) ) |
% 34.32/5.45 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c10 ) ) |
% 34.32/5.45 ( ( inverse @ X4 ) != ( X5 ) ) |
% 34.32/5.45 ( ( multiply @ X4 @ X5 ) != ( sk_c10 ) ) |
% 34.32/5.45 ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 34.32/5.45 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c8 ) ) |
% 34.32/5.45 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 34.32/5.45 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 34.32/5.45 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c10 ) ) |
% 34.32/5.45 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 34.32/5.45 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 34.32/5.45 ( ( inverse @ sk_c10 ) != ( sk_c9 ) )),
% 34.32/5.45 inference('cnf.neg', [status(esa)], [prove_this_41])).
% 34.32/5.45 thf(zip_derived_cl43, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((multiply @ X1 @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X1) != (X0))
% 34.32/5.45 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 34.32/5.45 | ((inverse @ X3) != (X2))
% 34.32/5.45 | ((multiply @ X3 @ X2) != (sk_c10))
% 34.32/5.45 | ((inverse @ X4) != (sk_c9))
% 34.32/5.45 | ((multiply @ X4 @ sk_c9) != (sk_c8))
% 34.32/5.45 | ((inverse @ X5) != (sk_c10))
% 34.32/5.45 | ((multiply @ X5 @ sk_c10) != (sk_c9))
% 34.32/5.45 | ((multiply @ sk_c8 @ sk_c9) != (sk_c10))
% 34.32/5.45 | ((inverse @ X6) != (sk_c10))
% 34.32/5.45 | ((multiply @ X6 @ sk_c10) != (sk_c9))
% 34.32/5.45 | ((inverse @ sk_c10) != (sk_c9)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_0])).
% 34.32/5.45 thf(zip_derived_cl44, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((multiply @ X1 @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X1) != (X0))
% 34.32/5.45 | ((multiply @ X2 @ (inverse @ sk_c10)) != (sk_c10))
% 34.32/5.45 | ((inverse @ X3) != (X2))
% 34.32/5.45 | ((multiply @ X3 @ X2) != (sk_c10))
% 34.32/5.45 | ((inverse @ X4) != (inverse @ sk_c10))
% 34.32/5.45 | ((multiply @ X4 @ (inverse @ sk_c10)) != (sk_c8))
% 34.32/5.45 | ((inverse @ X5) != (sk_c10))
% 34.32/5.45 | ((multiply @ X5 @ sk_c10) != (inverse @ sk_c10))
% 34.32/5.45 | ((multiply @ sk_c8 @ (inverse @ sk_c10)) != (sk_c10))
% 34.32/5.45 | ((inverse @ X6) != (sk_c10))
% 34.32/5.45 | ((multiply @ X6 @ sk_c10) != (inverse @ sk_c10))
% 34.32/5.45 | ((inverse @ sk_c10) != (sk_c9)))),
% 34.32/5.45 inference('local_rewriting', [status(thm)], [zip_derived_cl43])).
% 34.32/5.45 thf(prove_this_22, conjecture,
% 34.32/5.45 (~( ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) |
% 34.32/5.45 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 34.32/5.45 thf(zf_stmt_1, negated_conjecture,
% 34.32/5.45 (( ( inverse @ sk_c2 ) = ( sk_c10 ) ) |
% 34.32/5.45 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 34.32/5.45 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 34.32/5.45 thf(zip_derived_cl24, plain,
% 34.32/5.45 ((((inverse @ sk_c2) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_1])).
% 34.32/5.45 thf(zip_derived_cl1, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_inverse])).
% 34.32/5.45 thf(zip_derived_cl56, plain,
% 34.32/5.45 ((((multiply @ sk_c10 @ sk_c1) = (identity))
% 34.32/5.45 | ((inverse @ sk_c2) = (sk_c10)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl132, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 34.32/5.45 thf(zip_derived_cl153, plain,
% 34.32/5.45 ((((sk_c1) = (multiply @ (inverse @ sk_c10) @ identity))
% 34.32/5.45 | ((inverse @ sk_c2) = (sk_c10)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl132])).
% 34.32/5.45 thf(prove_this_12, conjecture,
% 34.32/5.45 (~( ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) |
% 34.32/5.45 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 34.32/5.45 thf(zf_stmt_2, negated_conjecture,
% 34.32/5.45 (( ( inverse @ sk_c2 ) = ( sk_c10 ) ) |
% 34.32/5.45 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) )),
% 34.32/5.45 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 34.32/5.45 thf(zip_derived_cl14, plain,
% 34.32/5.45 ((((inverse @ sk_c2) = (sk_c10))
% 34.32/5.45 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_2])).
% 34.32/5.45 thf(zip_derived_cl471, plain,
% 34.32/5.45 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 34.32/5.45 = (sk_c9))
% 34.32/5.45 | ((inverse @ sk_c2) = (sk_c10))
% 34.32/5.45 | ((inverse @ sk_c2) = (sk_c10)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl14])).
% 34.32/5.45 thf(zip_derived_cl2, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.32/5.45 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 34.32/5.45 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 34.32/5.45 inference('cnf', [status(esa)], [associativity])).
% 34.32/5.45 thf(zip_derived_cl0, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_identity])).
% 34.32/5.45 thf(zip_derived_cl1, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_inverse])).
% 34.32/5.45 thf(zip_derived_cl498, plain,
% 34.32/5.45 ((((identity) = (sk_c9))
% 34.32/5.45 | ((inverse @ sk_c2) = (sk_c10))
% 34.32/5.45 | ((inverse @ sk_c2) = (sk_c10)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl471, zip_derived_cl2, zip_derived_cl0,
% 34.32/5.45 zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl499, plain,
% 34.32/5.45 ((((inverse @ sk_c2) = (sk_c10)) | ((identity) = (sk_c9)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl498])).
% 34.32/5.45 thf(zip_derived_cl1, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_inverse])).
% 34.32/5.45 thf(zip_derived_cl510, plain,
% 34.32/5.45 ((((multiply @ sk_c10 @ sk_c2) = (identity)) | ((identity) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl499, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl132, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 34.32/5.45 thf(zip_derived_cl595, plain,
% 34.32/5.45 ((((sk_c2) = (multiply @ (inverse @ sk_c10) @ identity))
% 34.32/5.45 | ((identity) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl510, zip_derived_cl132])).
% 34.32/5.45 thf(zip_derived_cl1, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_inverse])).
% 34.32/5.45 thf(zip_derived_cl132, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 34.32/5.45 thf(zip_derived_cl148, plain,
% 34.32/5.45 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl132])).
% 34.32/5.45 thf(zip_derived_cl132, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 34.32/5.45 thf(zip_derived_cl132, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 34.32/5.45 thf(zip_derived_cl145, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl132])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl886, plain,
% 34.32/5.45 ((((sk_c2) = (inverse @ sk_c10)) | ((identity) = (sk_c9)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl595, zip_derived_cl845])).
% 34.32/5.45 thf(prove_this_21, conjecture,
% 34.32/5.45 (~( ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) |
% 34.32/5.45 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 34.32/5.45 thf(zf_stmt_3, negated_conjecture,
% 34.32/5.45 (( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) |
% 34.32/5.45 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 34.32/5.45 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 34.32/5.45 thf(zip_derived_cl23, plain,
% 34.32/5.45 ((((multiply @ sk_c2 @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((inverse @ sk_c1) = (sk_c10)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_3])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl148, plain,
% 34.32/5.45 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl132])).
% 34.32/5.45 thf(zip_derived_cl896, plain,
% 34.32/5.45 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl845, zip_derived_cl148])).
% 34.32/5.45 thf(zip_derived_cl1174, plain,
% 34.32/5.45 ((((sk_c1) = (inverse @ sk_c10))
% 34.32/5.45 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl896])).
% 34.32/5.45 thf(prove_this_11, conjecture,
% 34.32/5.45 (~( ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) |
% 34.32/5.45 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 34.32/5.45 thf(zf_stmt_4, negated_conjecture,
% 34.32/5.45 (( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) |
% 34.32/5.45 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) )),
% 34.32/5.45 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 34.32/5.45 thf(zip_derived_cl13, plain,
% 34.32/5.45 ((((multiply @ sk_c2 @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_4])).
% 34.32/5.45 thf(zip_derived_cl1471, plain,
% 34.32/5.45 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl1174, zip_derived_cl13])).
% 34.32/5.45 thf(zip_derived_cl1, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_inverse])).
% 34.32/5.45 thf(zip_derived_cl1498, plain,
% 34.32/5.45 ((((identity) = (sk_c9))
% 34.32/5.45 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl1471, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl1499, plain,
% 34.32/5.45 ((((multiply @ sk_c2 @ sk_c10) = (sk_c9)) | ((identity) = (sk_c9)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1498])).
% 34.32/5.45 thf(zip_derived_cl1738, plain,
% 34.32/5.45 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((identity) = (sk_c9))
% 34.32/5.45 | ((identity) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl886, zip_derived_cl1499])).
% 34.32/5.45 thf(zip_derived_cl1, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_inverse])).
% 34.32/5.45 thf(zip_derived_cl1741, plain,
% 34.32/5.45 ((((identity) = (sk_c9))
% 34.32/5.45 | ((identity) = (sk_c9))
% 34.32/5.45 | ((identity) = (sk_c9)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl1738, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl1742, plain, (((identity) = (sk_c9))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1741])).
% 34.32/5.45 thf(zip_derived_cl1776, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((multiply @ X1 @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X1) != (X0))
% 34.32/5.45 | ((multiply @ X2 @ (inverse @ sk_c10)) != (sk_c10))
% 34.32/5.45 | ((inverse @ X3) != (X2))
% 34.32/5.45 | ((multiply @ X3 @ X2) != (sk_c10))
% 34.32/5.45 | ((inverse @ X4) != (inverse @ sk_c10))
% 34.32/5.45 | ((multiply @ X4 @ (inverse @ sk_c10)) != (sk_c8))
% 34.32/5.45 | ((inverse @ X5) != (sk_c10))
% 34.32/5.45 | ((multiply @ X5 @ sk_c10) != (inverse @ sk_c10))
% 34.32/5.45 | ((multiply @ sk_c8 @ (inverse @ sk_c10)) != (sk_c10))
% 34.32/5.45 | ((inverse @ X6) != (sk_c10))
% 34.32/5.45 | ((multiply @ X6 @ sk_c10) != (inverse @ sk_c10))
% 34.32/5.45 | ((inverse @ sk_c10) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl1742])).
% 34.32/5.45 thf(zip_derived_cl1777, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((multiply @ X1 @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X1) != (X0))
% 34.32/5.45 | ((multiply @ X2 @ identity) != (sk_c10))
% 34.32/5.45 | ((inverse @ X3) != (X2))
% 34.32/5.45 | ((multiply @ X3 @ X2) != (sk_c10))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((multiply @ X4 @ identity) != (sk_c8))
% 34.32/5.45 | ((inverse @ X5) != (sk_c10))
% 34.32/5.45 | ((multiply @ X5 @ sk_c10) != (identity))
% 34.32/5.45 | ((multiply @ sk_c8 @ identity) != (sk_c10))
% 34.32/5.45 | ((inverse @ X6) != (sk_c10))
% 34.32/5.45 | ((multiply @ X6 @ sk_c10) != (identity))
% 34.32/5.45 | ((inverse @ sk_c10) != (identity)))),
% 34.32/5.45 inference('local_rewriting', [status(thm)], [zip_derived_cl1776])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl1778, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((multiply @ X1 @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X1) != (X0))
% 34.32/5.45 | ((X2) != (sk_c10))
% 34.32/5.45 | ((inverse @ X3) != (X2))
% 34.32/5.45 | ((multiply @ X3 @ X2) != (sk_c10))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((X4) != (sk_c8))
% 34.32/5.45 | ((inverse @ X5) != (sk_c10))
% 34.32/5.45 | ((multiply @ X5 @ sk_c10) != (identity))
% 34.32/5.45 | ((sk_c8) != (sk_c10))
% 34.32/5.45 | ((inverse @ X6) != (sk_c10))
% 34.32/5.45 | ((multiply @ X6 @ sk_c10) != (identity))
% 34.32/5.45 | ((inverse @ sk_c10) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl1777, zip_derived_cl845, zip_derived_cl845,
% 34.32/5.45 zip_derived_cl845])).
% 34.32/5.45 thf(zip_derived_cl1779, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((multiply @ X1 @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X1) != (X0))
% 34.32/5.45 | ((X2) != (sk_c10))
% 34.32/5.45 | ((inverse @ X3) != (X2))
% 34.32/5.45 | ((multiply @ X3 @ X2) != (sk_c10))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((X4) != (sk_c10))
% 34.32/5.45 | ((inverse @ X5) != (sk_c10))
% 34.32/5.45 | ((multiply @ X5 @ sk_c10) != (identity))
% 34.32/5.45 | ((sk_c8) != (sk_c10))
% 34.32/5.45 | ((inverse @ X6) != (sk_c10))
% 34.32/5.45 | ((multiply @ X6 @ sk_c10) != (identity))
% 34.32/5.45 | ((inverse @ sk_c10) != (identity)))),
% 34.32/5.45 inference('local_rewriting', [status(thm)], [zip_derived_cl1778])).
% 34.32/5.45 thf(prove_this_8, conjecture,
% 34.32/5.45 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 34.32/5.45 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 34.32/5.45 thf(zf_stmt_5, negated_conjecture,
% 34.32/5.45 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 34.32/5.45 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 34.32/5.45 thf(zip_derived_cl10, plain,
% 34.32/5.45 ((((inverse @ sk_c6) = (sk_c5)) | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_5])).
% 34.32/5.45 thf(prove_this_9, conjecture,
% 34.32/5.45 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 34.32/5.45 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 34.32/5.45 thf(zf_stmt_6, negated_conjecture,
% 34.32/5.45 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 34.32/5.45 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 34.32/5.45 thf(zip_derived_cl11, plain,
% 34.32/5.45 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_6])).
% 34.32/5.45 thf(zip_derived_cl48, plain,
% 34.32/5.45 ((((inverse @ (inverse @ sk_c6)) = (sk_c7))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl11])).
% 34.32/5.45 thf(zip_derived_cl49, plain,
% 34.32/5.45 ((((inverse @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((inverse @ (inverse @ sk_c6)) = (sk_c7)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl48])).
% 34.32/5.45 thf(zip_derived_cl148, plain,
% 34.32/5.45 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl132])).
% 34.32/5.45 thf(zip_derived_cl655, plain,
% 34.32/5.45 ((((sk_c6) = (multiply @ sk_c7 @ identity))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl148])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl888, plain,
% 34.32/5.45 ((((sk_c6) = (sk_c7)) | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl655, zip_derived_cl845])).
% 34.32/5.45 thf(prove_this_6, conjecture,
% 34.32/5.45 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 34.32/5.45 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 34.32/5.45 thf(zf_stmt_7, negated_conjecture,
% 34.32/5.45 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 34.32/5.45 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 34.32/5.45 thf(zip_derived_cl8, plain,
% 34.32/5.45 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_7])).
% 34.32/5.45 thf(zip_derived_cl11, plain,
% 34.32/5.45 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_6])).
% 34.32/5.45 thf(zip_derived_cl1, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_inverse])).
% 34.32/5.45 thf(zip_derived_cl47, plain,
% 34.32/5.45 ((((multiply @ sk_c7 @ sk_c5) = (identity))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl87, plain,
% 34.32/5.45 ((((multiply @ (inverse @ sk_c4) @ sk_c5) = (identity))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl47])).
% 34.32/5.45 thf(zip_derived_cl91, plain,
% 34.32/5.45 ((((inverse @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((multiply @ (inverse @ sk_c4) @ sk_c5) = (identity)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl87])).
% 34.32/5.45 thf(zip_derived_cl132, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 34.32/5.45 thf(zip_derived_cl743, plain,
% 34.32/5.45 ((((sk_c5) = (multiply @ (inverse @ (inverse @ sk_c4)) @ identity))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl132])).
% 34.32/5.45 thf(zip_derived_cl148, plain,
% 34.32/5.45 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl132])).
% 34.32/5.45 thf(zip_derived_cl756, plain,
% 34.32/5.45 ((((sk_c5) = (sk_c4)) | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl743, zip_derived_cl148])).
% 34.32/5.45 thf(zip_derived_cl10, plain,
% 34.32/5.45 ((((inverse @ sk_c6) = (sk_c5)) | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_5])).
% 34.32/5.45 thf(zip_derived_cl757, plain,
% 34.32/5.45 ((((inverse @ sk_c6) = (sk_c4))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl756, zip_derived_cl10])).
% 34.32/5.45 thf(zip_derived_cl771, plain,
% 34.32/5.45 ((((inverse @ sk_c10) = (sk_c9)) | ((inverse @ sk_c6) = (sk_c4)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl757])).
% 34.32/5.45 thf(zip_derived_cl1, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_inverse])).
% 34.32/5.45 thf(zip_derived_cl777, plain,
% 34.32/5.45 ((((multiply @ sk_c4 @ sk_c6) = (identity))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl771, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl1032, plain,
% 34.32/5.45 ((((multiply @ sk_c4 @ sk_c7) = (identity))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl888, zip_derived_cl777])).
% 34.32/5.45 thf(zip_derived_cl1038, plain,
% 34.32/5.45 ((((inverse @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((multiply @ sk_c4 @ sk_c7) = (identity)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1032])).
% 34.32/5.45 thf(prove_this_5, conjecture,
% 34.32/5.45 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 34.32/5.45 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 34.32/5.45 thf(zf_stmt_8, negated_conjecture,
% 34.32/5.45 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 34.32/5.45 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 34.32/5.45 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 34.32/5.45 thf(zip_derived_cl7, plain,
% 34.32/5.45 ((((multiply @ sk_c4 @ sk_c7) = (sk_c10))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_8])).
% 34.32/5.45 thf(zip_derived_cl1448, plain,
% 34.32/5.45 ((((identity) = (sk_c10))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9))
% 34.32/5.45 | ((inverse @ sk_c10) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl1038, zip_derived_cl7])).
% 34.32/5.45 thf(zip_derived_cl1457, plain,
% 34.32/5.45 ((((inverse @ sk_c10) = (sk_c9)) | ((identity) = (sk_c10)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1448])).
% 34.32/5.45 thf(zip_derived_cl1742, plain, (((identity) = (sk_c9))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1741])).
% 34.32/5.45 thf(zip_derived_cl1808, plain,
% 34.32/5.45 ((((inverse @ sk_c10) = (identity)) | ((identity) = (sk_c10)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl1457, zip_derived_cl1742])).
% 34.32/5.45 thf(zip_derived_cl896, plain,
% 34.32/5.45 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl845, zip_derived_cl148])).
% 34.32/5.45 thf(zip_derived_cl1933, plain,
% 34.32/5.45 ((((sk_c10) = (inverse @ identity)) | ((identity) = (sk_c10)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl1808, zip_derived_cl896])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl1936, plain,
% 34.32/5.45 ((((sk_c10) = (identity)) | ((identity) = (sk_c10)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl1933, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl1966, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((multiply @ X1 @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X1) != (X0))
% 34.32/5.45 | ((X2) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X2))
% 34.32/5.45 | ((multiply @ X3 @ X2) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((X4) != (identity))
% 34.32/5.45 | ((inverse @ X5) != (identity))
% 34.32/5.45 | ((X5) != (identity))
% 34.32/5.45 | ((sk_c8) != (identity))
% 34.32/5.45 | ((inverse @ X6) != (identity))
% 34.32/5.45 | ((X6) != (identity))
% 34.32/5.45 | ((identity) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl1779, zip_derived_cl1937, zip_derived_cl1937,
% 34.32/5.45 zip_derived_cl1937, zip_derived_cl1937, zip_derived_cl1937,
% 34.32/5.45 zip_derived_cl845, zip_derived_cl1937, zip_derived_cl1937,
% 34.32/5.45 zip_derived_cl1937, zip_derived_cl845, zip_derived_cl1937,
% 34.32/5.45 zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl1967, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((X6) != (identity))
% 34.32/5.45 | ((inverse @ X6) != (identity))
% 34.32/5.45 | ((sk_c8) != (identity))
% 34.32/5.45 | ((X5) != (identity))
% 34.32/5.45 | ((inverse @ X5) != (identity))
% 34.32/5.45 | ((X4) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((multiply @ X3 @ X2) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X2))
% 34.32/5.45 | ((X2) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (X2))
% 34.32/5.45 | ((multiply @ X1 @ X2) != (X0)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1966])).
% 34.32/5.45 thf(prove_this_33, conjecture,
% 34.32/5.45 (~( ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 34.32/5.45 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 34.32/5.45 thf(zf_stmt_9, negated_conjecture,
% 34.32/5.45 (( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 34.32/5.45 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) )),
% 34.32/5.45 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 34.32/5.45 thf(zip_derived_cl35, plain,
% 34.32/5.45 ((((multiply @ sk_c3 @ sk_c9) = (sk_c8))
% 34.32/5.45 | ((multiply @ sk_c8 @ sk_c9) = (sk_c10)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_9])).
% 34.32/5.45 thf(zip_derived_cl1742, plain, (((identity) = (sk_c9))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1741])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl1742, plain, (((identity) = (sk_c9))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1741])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl1770, plain,
% 34.32/5.45 ((((sk_c3) = (sk_c8)) | ((sk_c8) = (sk_c10)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl35, zip_derived_cl1742, zip_derived_cl845,
% 34.32/5.45 zip_derived_cl1742, zip_derived_cl845])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl1961, plain,
% 34.32/5.45 ((((sk_c3) = (sk_c8)) | ((sk_c8) = (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl1770, zip_derived_cl1937])).
% 34.32/5.45 thf(prove_this_24, conjecture,
% 34.32/5.45 (~( ( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 34.32/5.45 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 34.32/5.45 thf(zf_stmt_10, negated_conjecture,
% 34.32/5.45 (( ( inverse @ sk_c3 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 34.32/5.45 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 34.32/5.45 thf(zip_derived_cl26, plain,
% 34.32/5.45 ((((inverse @ sk_c3) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c10)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_10])).
% 34.32/5.45 thf(zip_derived_cl1742, plain, (((identity) = (sk_c9))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1741])).
% 34.32/5.45 thf(zip_derived_cl1766, plain,
% 34.32/5.45 ((((inverse @ sk_c3) = (identity)) | ((inverse @ sk_c1) = (sk_c10)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl1742])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl2160, plain,
% 34.32/5.45 ((((inverse @ sk_c3) = (identity)) | ((inverse @ sk_c1) = (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl1766, zip_derived_cl1937])).
% 34.32/5.45 thf(zip_derived_cl896, plain,
% 34.32/5.45 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl845, zip_derived_cl148])).
% 34.32/5.45 thf(zip_derived_cl132, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 34.32/5.45 thf(zip_derived_cl1156, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl896, zip_derived_cl132])).
% 34.32/5.45 thf(zip_derived_cl2734, plain,
% 34.32/5.45 (![X0 : $i]:
% 34.32/5.45 (((X0) = (multiply @ sk_c1 @ (multiply @ identity @ X0)))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl2160, zip_derived_cl1156])).
% 34.32/5.45 thf(zip_derived_cl0, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_identity])).
% 34.32/5.45 thf(zip_derived_cl2749, plain,
% 34.32/5.45 (![X0 : $i]:
% 34.32/5.45 (((X0) = (multiply @ sk_c1 @ X0)) | ((inverse @ sk_c3) = (identity)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl2734, zip_derived_cl0])).
% 34.32/5.45 thf(zip_derived_cl132, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 34.32/5.45 thf(zip_derived_cl2882, plain,
% 34.32/5.45 (![X0 : $i]:
% 34.32/5.45 (((X0) = (multiply @ (inverse @ sk_c1) @ X0))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl2749, zip_derived_cl132])).
% 34.32/5.45 thf(zip_derived_cl896, plain,
% 34.32/5.45 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl845, zip_derived_cl148])).
% 34.32/5.45 thf(zip_derived_cl1, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_inverse])).
% 34.32/5.45 thf(zip_derived_cl1154, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl896, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl15281, plain,
% 34.32/5.45 ((((inverse @ (inverse @ sk_c1)) = (identity))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl2882, zip_derived_cl1154])).
% 34.32/5.45 thf(prove_this_34, conjecture,
% 34.32/5.45 (~( ( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 34.32/5.45 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 34.32/5.45 thf(zf_stmt_11, negated_conjecture,
% 34.32/5.45 (( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 34.32/5.45 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) )),
% 34.32/5.45 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 34.32/5.45 thf(zip_derived_cl36, plain,
% 34.32/5.45 ((((inverse @ sk_c3) = (sk_c9)) | ((multiply @ sk_c8 @ sk_c9) = (sk_c10)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_11])).
% 34.32/5.45 thf(zip_derived_cl1742, plain, (((identity) = (sk_c9))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1741])).
% 34.32/5.45 thf(zip_derived_cl1742, plain, (((identity) = (sk_c9))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1741])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl1771, plain,
% 34.32/5.45 ((((inverse @ sk_c3) = (identity)) | ((sk_c8) = (sk_c10)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl36, zip_derived_cl1742, zip_derived_cl1742,
% 34.32/5.45 zip_derived_cl845])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl1962, plain,
% 34.32/5.45 ((((inverse @ sk_c3) = (identity)) | ((sk_c8) = (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl1771, zip_derived_cl1937])).
% 34.32/5.45 thf(zip_derived_cl1967, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((X6) != (identity))
% 34.32/5.45 | ((inverse @ X6) != (identity))
% 34.32/5.45 | ((sk_c8) != (identity))
% 34.32/5.45 | ((X5) != (identity))
% 34.32/5.45 | ((inverse @ X5) != (identity))
% 34.32/5.45 | ((X4) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((multiply @ X3 @ X2) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X2))
% 34.32/5.45 | ((X2) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (X2))
% 34.32/5.45 | ((multiply @ X1 @ X2) != (X0)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1966])).
% 34.32/5.45 thf(zip_derived_cl2036, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((identity) != (identity))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((multiply @ X1 @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X1) != (X2))
% 34.32/5.45 | ((X0) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X0))
% 34.32/5.45 | ((multiply @ X3 @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((X4) != (identity))
% 34.32/5.45 | ((inverse @ X5) != (identity))
% 34.32/5.45 | ((X5) != (identity))
% 34.32/5.45 | ((inverse @ X6) != (identity))
% 34.32/5.45 | ((X6) != (identity)))),
% 34.32/5.45 inference('sup-', [status(thm)], [zip_derived_cl1962, zip_derived_cl1967])).
% 34.32/5.45 thf(zip_derived_cl2037, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((X6) != (identity))
% 34.32/5.45 | ((inverse @ X6) != (identity))
% 34.32/5.45 | ((X5) != (identity))
% 34.32/5.45 | ((inverse @ X5) != (identity))
% 34.32/5.45 | ((X4) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((multiply @ X3 @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X0))
% 34.32/5.45 | ((X0) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (X0))
% 34.32/5.45 | ((multiply @ X1 @ X0) != (X2))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl2036])).
% 34.32/5.45 thf(zip_derived_cl128284, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.32/5.45 (((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((multiply @ X1 @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X1) != (X2))
% 34.32/5.45 | ((X0) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X0))
% 34.32/5.45 | ((multiply @ X3 @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((X4) != (identity))
% 34.32/5.45 | ((inverse @ X5) != (identity))
% 34.32/5.45 | ((X5) != (identity))
% 34.32/5.45 | ((inverse @ identity) != (identity)))),
% 34.32/5.45 inference('eq_res', [status(thm)], [zip_derived_cl2037])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl128285, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.32/5.45 (((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((multiply @ X1 @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X1) != (X2))
% 34.32/5.45 | ((X0) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X0))
% 34.32/5.45 | ((multiply @ X3 @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((X4) != (identity))
% 34.32/5.45 | ((inverse @ X5) != (identity))
% 34.32/5.45 | ((X5) != (identity))
% 34.32/5.45 | ((identity) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128284, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl128286, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.32/5.45 (((X5) != (identity))
% 34.32/5.45 | ((inverse @ X5) != (identity))
% 34.32/5.45 | ((X4) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((multiply @ X3 @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X0))
% 34.32/5.45 | ((X0) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (X0))
% 34.32/5.45 | ((multiply @ X1 @ X0) != (X2))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128285])).
% 34.32/5.45 thf(zip_derived_cl128287, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.32/5.45 (((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((multiply @ X1 @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X1) != (X2))
% 34.32/5.45 | ((X0) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X0))
% 34.32/5.45 | ((multiply @ X3 @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((X4) != (identity))
% 34.32/5.45 | ((inverse @ identity) != (identity)))),
% 34.32/5.45 inference('eq_res', [status(thm)], [zip_derived_cl128286])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl128288, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.32/5.45 (((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((multiply @ X1 @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X1) != (X2))
% 34.32/5.45 | ((X0) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X0))
% 34.32/5.45 | ((multiply @ X3 @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((X4) != (identity))
% 34.32/5.45 | ((identity) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128287, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl128289, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.32/5.45 (((X4) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((multiply @ X3 @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X0))
% 34.32/5.45 | ((X0) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (X0))
% 34.32/5.45 | ((multiply @ X1 @ X0) != (X2))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128288])).
% 34.32/5.45 thf(zip_derived_cl128290, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.32/5.45 (((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((multiply @ X1 @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X1) != (X2))
% 34.32/5.45 | ((X0) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X0))
% 34.32/5.45 | ((multiply @ X3 @ X0) != (identity))
% 34.32/5.45 | ((inverse @ identity) != (identity)))),
% 34.32/5.45 inference('eq_res', [status(thm)], [zip_derived_cl128289])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl128291, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.32/5.45 (((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((multiply @ X1 @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X1) != (X2))
% 34.32/5.45 | ((X0) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X0))
% 34.32/5.45 | ((multiply @ X3 @ X0) != (identity))
% 34.32/5.45 | ((identity) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128290, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl128292, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.32/5.45 (((multiply @ X3 @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X0))
% 34.32/5.45 | ((X0) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (X0))
% 34.32/5.45 | ((multiply @ X1 @ X0) != (X2))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128291])).
% 34.32/5.45 thf(zip_derived_cl128420, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.32/5.45 (((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((multiply @ X0 @ identity) != (X1))
% 34.32/5.45 | ((inverse @ X1) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (X1))
% 34.32/5.45 | ((inverse @ X2) != (identity))
% 34.32/5.45 | ((multiply @ X2 @ identity) != (identity)))),
% 34.32/5.45 inference('eq_res', [status(thm)], [zip_derived_cl128292])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl128421, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.32/5.45 (((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((X0) != (X1))
% 34.32/5.45 | ((inverse @ X1) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (X1))
% 34.32/5.45 | ((inverse @ X2) != (identity))
% 34.32/5.45 | ((X2) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128420, zip_derived_cl845, zip_derived_cl845])).
% 34.32/5.45 thf(zip_derived_cl128422, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 (((X0) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (X1))
% 34.32/5.45 | ((inverse @ X1) != (identity))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity)))),
% 34.32/5.45 inference('eq_res', [status(thm)], [zip_derived_cl128421])).
% 34.32/5.45 thf(zip_derived_cl128423, plain,
% 34.32/5.45 (![X0 : $i]:
% 34.32/5.45 (((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (X0))
% 34.32/5.45 | ((inverse @ identity) != (identity)))),
% 34.32/5.45 inference('eq_res', [status(thm)], [zip_derived_cl128422])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl128424, plain,
% 34.32/5.45 (![X0 : $i]:
% 34.32/5.45 (((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (X0))
% 34.32/5.45 | ((identity) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128423, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl128425, plain,
% 34.32/5.45 (![X0 : $i]:
% 34.32/5.45 (((inverse @ X0) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128424])).
% 34.32/5.45 thf(zip_derived_cl128490, plain,
% 34.32/5.45 ((((identity) != (inverse @ sk_c1))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((inverse @ (inverse @ sk_c1)) != (identity)))),
% 34.32/5.45 inference('sup-', [status(thm)],
% 34.32/5.45 [zip_derived_cl15281, zip_derived_cl128425])).
% 34.32/5.45 thf(zip_derived_cl896, plain,
% 34.32/5.45 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl845, zip_derived_cl148])).
% 34.32/5.45 thf(zip_derived_cl128610, plain,
% 34.32/5.45 ((((identity) != (inverse @ sk_c1))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((sk_c1) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128490, zip_derived_cl896])).
% 34.32/5.45 thf(zip_derived_cl128611, plain,
% 34.32/5.45 ((((sk_c1) != (identity))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((identity) != (inverse @ sk_c1)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128610])).
% 34.32/5.45 thf(zip_derived_cl128612, plain,
% 34.32/5.45 ((((sk_c1) != (identity))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((identity) != (inverse @ identity)))),
% 34.32/5.45 inference('local_rewriting', [status(thm)], [zip_derived_cl128611])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl128640, plain,
% 34.32/5.45 ((((sk_c1) != (identity))
% 34.32/5.45 | ((inverse @ sk_c3) = (identity))
% 34.32/5.45 | ((identity) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128612, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl128641, plain,
% 34.32/5.45 ((((inverse @ sk_c3) = (identity)) | ((sk_c1) != (identity)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128640])).
% 34.32/5.45 thf(zip_derived_cl26, plain,
% 34.32/5.45 ((((inverse @ sk_c3) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c10)))),
% 34.32/5.45 inference('cnf', [status(esa)], [zf_stmt_10])).
% 34.32/5.45 thf(zip_derived_cl1, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 34.32/5.45 inference('cnf', [status(esa)], [left_inverse])).
% 34.32/5.45 thf(zip_derived_cl58, plain,
% 34.32/5.45 ((((multiply @ sk_c10 @ sk_c1) = (identity))
% 34.32/5.45 | ((inverse @ sk_c3) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl132, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 34.32/5.45 thf(zip_derived_cl155, plain,
% 34.32/5.45 ((((sk_c1) = (multiply @ (inverse @ sk_c10) @ identity))
% 34.32/5.45 | ((inverse @ sk_c3) = (sk_c9)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl132])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl879, plain,
% 34.32/5.45 ((((sk_c1) = (inverse @ sk_c10)) | ((inverse @ sk_c3) = (sk_c9)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl155, zip_derived_cl845])).
% 34.32/5.45 thf(zip_derived_cl1742, plain, (((identity) = (sk_c9))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1741])).
% 34.32/5.45 thf(zip_derived_cl1797, plain,
% 34.32/5.45 ((((sk_c1) = (inverse @ sk_c10)) | ((inverse @ sk_c3) = (identity)))),
% 34.32/5.45 inference('demod', [status(thm)], [zip_derived_cl879, zip_derived_cl1742])).
% 34.32/5.45 thf(zip_derived_cl1937, plain, (((sk_c10) = (identity))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl1936])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl2052, plain,
% 34.32/5.45 ((((sk_c1) = (identity)) | ((inverse @ sk_c3) = (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl1797, zip_derived_cl1937, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl128642, plain, (((inverse @ sk_c3) = (identity))),
% 34.32/5.45 inference('clc', [status(thm)],
% 34.32/5.45 [zip_derived_cl128641, zip_derived_cl2052])).
% 34.32/5.45 thf(zip_derived_cl896, plain,
% 34.32/5.45 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl845, zip_derived_cl148])).
% 34.32/5.45 thf(zip_derived_cl128644, plain, (((sk_c3) = (inverse @ identity))),
% 34.32/5.45 inference('sup+', [status(thm)],
% 34.32/5.45 [zip_derived_cl128642, zip_derived_cl896])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl128648, plain, (((sk_c3) = (identity))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128644, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl128651, plain,
% 34.32/5.45 ((((identity) = (sk_c8)) | ((sk_c8) = (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl1961, zip_derived_cl128648])).
% 34.32/5.45 thf(zip_derived_cl128652, plain, (((identity) = (sk_c8))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128651])).
% 34.32/5.45 thf(zip_derived_cl128663, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((X6) != (identity))
% 34.32/5.45 | ((inverse @ X6) != (identity))
% 34.32/5.45 | ((identity) != (identity))
% 34.32/5.45 | ((X5) != (identity))
% 34.32/5.45 | ((inverse @ X5) != (identity))
% 34.32/5.45 | ((X4) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((multiply @ X3 @ X2) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X2))
% 34.32/5.45 | ((X2) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (X2))
% 34.32/5.45 | ((multiply @ X1 @ X2) != (X0)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl1967, zip_derived_cl128652])).
% 34.32/5.45 thf(zip_derived_cl128664, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 34.32/5.45 (((multiply @ X1 @ X2) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (X2))
% 34.32/5.45 | ((inverse @ X1) != (X0))
% 34.32/5.45 | ((X2) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X2))
% 34.32/5.45 | ((multiply @ X3 @ X2) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((X4) != (identity))
% 34.32/5.45 | ((inverse @ X5) != (identity))
% 34.32/5.45 | ((X5) != (identity))
% 34.32/5.45 | ((inverse @ X6) != (identity))
% 34.32/5.45 | ((X6) != (identity)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128663])).
% 34.32/5.45 thf(zip_derived_cl128683, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.32/5.45 (((X0) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((X1) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (identity))
% 34.32/5.45 | ((X2) != (identity))
% 34.32/5.45 | ((inverse @ X2) != (identity))
% 34.32/5.45 | ((multiply @ X3 @ identity) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (X5))
% 34.32/5.45 | ((inverse @ X5) != (identity))
% 34.32/5.45 | ((multiply @ X4 @ identity) != (X5)))),
% 34.32/5.45 inference('eq_res', [status(thm)], [zip_derived_cl128664])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl845, plain,
% 34.32/5.45 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 34.32/5.45 thf(zip_derived_cl128684, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.32/5.45 (((X0) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((X1) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (identity))
% 34.32/5.45 | ((X2) != (identity))
% 34.32/5.45 | ((inverse @ X2) != (identity))
% 34.32/5.45 | ((X3) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (X5))
% 34.32/5.45 | ((inverse @ X5) != (identity))
% 34.32/5.45 | ((X4) != (X5)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128683, zip_derived_cl845, zip_derived_cl845])).
% 34.32/5.45 thf(zip_derived_cl128685, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.32/5.45 (((inverse @ X0) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (X0))
% 34.32/5.45 | ((inverse @ X1) != (identity))
% 34.32/5.45 | ((X1) != (identity))
% 34.32/5.45 | ((inverse @ X2) != (identity))
% 34.32/5.45 | ((X2) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (identity))
% 34.32/5.45 | ((X3) != (identity))
% 34.32/5.45 | ((inverse @ X4) != (identity))
% 34.32/5.45 | ((X4) != (identity)))),
% 34.32/5.45 inference('eq_res', [status(thm)], [zip_derived_cl128684])).
% 34.32/5.45 thf(zip_derived_cl128686, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.32/5.45 (((X0) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((X1) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (identity))
% 34.32/5.45 | ((X2) != (identity))
% 34.32/5.45 | ((inverse @ X2) != (identity))
% 34.32/5.45 | ((inverse @ identity) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X3))
% 34.32/5.45 | ((inverse @ X3) != (identity)))),
% 34.32/5.45 inference('eq_res', [status(thm)], [zip_derived_cl128685])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl128687, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.32/5.45 (((X0) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((X1) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (identity))
% 34.32/5.45 | ((X2) != (identity))
% 34.32/5.45 | ((inverse @ X2) != (identity))
% 34.32/5.45 | ((identity) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X3))
% 34.32/5.45 | ((inverse @ X3) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128686, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl128688, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.32/5.45 (((inverse @ X3) != (identity))
% 34.32/5.45 | ((inverse @ X3) != (X3))
% 34.32/5.45 | ((inverse @ X2) != (identity))
% 34.32/5.45 | ((X2) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (identity))
% 34.32/5.45 | ((X1) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((X0) != (identity)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128687])).
% 34.32/5.45 thf(zip_derived_cl128689, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.32/5.45 (((X0) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((X1) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (identity))
% 34.32/5.45 | ((inverse @ identity) != (identity))
% 34.32/5.45 | ((inverse @ X2) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (identity)))),
% 34.32/5.45 inference('eq_res', [status(thm)], [zip_derived_cl128688])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl128690, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.32/5.45 (((X0) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((X1) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (identity))
% 34.32/5.45 | ((identity) != (identity))
% 34.32/5.45 | ((inverse @ X2) != (X2))
% 34.32/5.45 | ((inverse @ X2) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128689, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl128691, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.32/5.45 (((inverse @ X2) != (identity))
% 34.32/5.45 | ((inverse @ X2) != (X2))
% 34.32/5.45 | ((inverse @ X1) != (identity))
% 34.32/5.45 | ((X1) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((X0) != (identity)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128690])).
% 34.32/5.45 thf(zip_derived_cl128692, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 (((X0) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((inverse @ identity) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (X1))
% 34.32/5.45 | ((inverse @ X1) != (identity)))),
% 34.32/5.45 inference('eq_res', [status(thm)], [zip_derived_cl128691])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl128693, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 (((X0) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((identity) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (X1))
% 34.32/5.45 | ((inverse @ X1) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128692, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl128694, plain,
% 34.32/5.45 (![X0 : $i, X1 : $i]:
% 34.32/5.45 (((inverse @ X1) != (identity))
% 34.32/5.45 | ((inverse @ X1) != (X1))
% 34.32/5.45 | ((inverse @ X0) != (identity))
% 34.32/5.45 | ((X0) != (identity)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128693])).
% 34.32/5.45 thf(zip_derived_cl128732, plain,
% 34.32/5.45 (![X0 : $i]:
% 34.32/5.45 (((inverse @ identity) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (identity)))),
% 34.32/5.45 inference('eq_res', [status(thm)], [zip_derived_cl128694])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl128733, plain,
% 34.32/5.45 (![X0 : $i]:
% 34.32/5.45 (((identity) != (identity))
% 34.32/5.45 | ((inverse @ X0) != (X0))
% 34.32/5.45 | ((inverse @ X0) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128732, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl128734, plain,
% 34.32/5.45 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((inverse @ X0) != (X0)))),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128733])).
% 34.32/5.45 thf(zip_derived_cl128735, plain,
% 34.32/5.45 ((((identity) != (identity)) | ((inverse @ identity) != (identity)))),
% 34.32/5.45 inference('sup-', [status(thm)],
% 34.32/5.45 [zip_derived_cl701, zip_derived_cl128734])).
% 34.32/5.45 thf(zip_derived_cl701, plain, (((inverse @ identity) = (identity))),
% 34.32/5.45 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 34.32/5.45 thf(zip_derived_cl128749, plain,
% 34.32/5.45 ((((identity) != (identity)) | ((identity) != (identity)))),
% 34.32/5.45 inference('demod', [status(thm)],
% 34.32/5.45 [zip_derived_cl128735, zip_derived_cl701])).
% 34.32/5.45 thf(zip_derived_cl128750, plain, ($false),
% 34.32/5.45 inference('simplify', [status(thm)], [zip_derived_cl128749])).
% 34.32/5.45
% 34.32/5.45 % SZS output end Refutation
% 34.32/5.45
% 34.32/5.45
% 34.32/5.45 % Terminating...
% 34.32/5.50 % Runner terminated.
% 34.32/5.51 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------