TSTP Solution File: GRP328-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP328-1 : 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.6tK1jqjnSN true
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:13 EDT 2023
% Result : Unsatisfiable 1.42s 0.88s
% Output : Refutation 1.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP328-1 : 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.6tK1jqjnSN true
% 0.13/0.34 % Computer : n025.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 : Mon Aug 28 21:07:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.42/0.88 % Solved by fo/fo7.sh.
% 1.42/0.88 % done 337 iterations in 0.104s
% 1.42/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.42/0.88 % SZS output start Refutation
% 1.42/0.88 thf(sk_c3_type, type, sk_c3: $i).
% 1.42/0.88 thf(sk_c6_type, type, sk_c6: $i).
% 1.42/0.88 thf(sk_c1_type, type, sk_c1: $i).
% 1.42/0.88 thf(sk_c4_type, type, sk_c4: $i).
% 1.42/0.88 thf(identity_type, type, identity: $i).
% 1.42/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.42/0.88 thf(sk_c8_type, type, sk_c8: $i).
% 1.42/0.88 thf(inverse_type, type, inverse: $i > $i).
% 1.42/0.88 thf(sk_c5_type, type, sk_c5: $i).
% 1.42/0.88 thf(sk_c2_type, type, sk_c2: $i).
% 1.42/0.88 thf(sk_c7_type, type, sk_c7: $i).
% 1.42/0.88 thf(prove_this_31, conjecture,
% 1.42/0.88 (~( ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.42/0.88 ( ( multiply @ X2 @ sk_c8 ) != ( X1 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c8 @ X1 ) != ( sk_c7 ) ) |
% 1.42/0.88 ( ( inverse @ sk_c8 ) != ( sk_c6 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c8 ) ) |
% 1.42/0.88 ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 1.42/0.88 ( ( multiply @ X5 @ sk_c8 ) != ( X4 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c8 @ X4 ) != ( sk_c7 ) ) |
% 1.42/0.88 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.42/0.88 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) ))).
% 1.42/0.88 thf(zf_stmt_0, negated_conjecture,
% 1.42/0.88 (( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.42/0.88 ( ( multiply @ X2 @ sk_c8 ) != ( X1 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c8 @ X1 ) != ( sk_c7 ) ) |
% 1.42/0.88 ( ( inverse @ sk_c8 ) != ( sk_c6 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c8 ) ) |
% 1.42/0.88 ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 1.42/0.88 ( ( multiply @ X5 @ sk_c8 ) != ( X4 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c8 @ X4 ) != ( sk_c7 ) ) |
% 1.42/0.88 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.42/0.88 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.42/0.88 thf(zip_derived_cl33, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.42/0.88 (((inverse @ X0) != (sk_c8))
% 1.42/0.88 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.42/0.88 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 1.42/0.88 | ((inverse @ sk_c8) != (sk_c6))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c6) != (sk_c8))
% 1.42/0.88 | ((inverse @ X2) != (sk_c8))
% 1.42/0.88 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.42/0.88 | ((multiply @ sk_c8 @ X3) != (sk_c7))
% 1.42/0.88 | ((inverse @ X4) != (sk_c7))
% 1.42/0.88 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.42/0.88 thf(zip_derived_cl34, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.42/0.88 (((inverse @ X0) != (sk_c8))
% 1.42/0.88 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.42/0.88 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 1.42/0.88 | ((inverse @ sk_c8) != (sk_c6))
% 1.42/0.88 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c8))
% 1.42/0.88 | ((inverse @ X2) != (sk_c8))
% 1.42/0.88 | ((multiply @ X2 @ sk_c8) != (X3))
% 1.42/0.88 | ((multiply @ sk_c8 @ X3) != (sk_c7))
% 1.42/0.88 | ((inverse @ X4) != (sk_c7))
% 1.42/0.88 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 1.42/0.88 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 1.42/0.88 thf(prove_this_15, conjecture,
% 1.42/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.42/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.42/0.88 thf(zf_stmt_1, negated_conjecture,
% 1.42/0.88 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.42/0.88 thf(zip_derived_cl17, plain,
% 1.42/0.88 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.42/0.88 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl42, plain,
% 1.42/0.88 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.42/0.88 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(associativity, axiom,
% 1.42/0.88 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.42/0.88 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.42/0.88 thf(zip_derived_cl2, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.42/0.88 thf(zip_derived_cl59, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 ((multiply @ identity @ X0)
% 1.42/0.88 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.42/0.88 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.42/0.88 thf(zip_derived_cl0, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.88 thf(zip_derived_cl75, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.42/0.88 thf(zip_derived_cl90, plain,
% 1.42/0.88 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.42/0.88 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl75])).
% 1.42/0.88 thf(prove_this_10, conjecture,
% 1.42/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.42/0.88 thf(zf_stmt_2, negated_conjecture,
% 1.42/0.88 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.42/0.88 thf(zip_derived_cl12, plain,
% 1.42/0.88 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.42/0.88 thf(zip_derived_cl169, plain,
% 1.42/0.88 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.42/0.88 = (sk_c8))
% 1.42/0.88 | ((inverse @ sk_c4) = (sk_c8))
% 1.42/0.88 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl12])).
% 1.42/0.88 thf(zip_derived_cl2, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.42/0.88 thf(zip_derived_cl0, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl179, plain,
% 1.42/0.88 ((((identity) = (sk_c8))
% 1.42/0.88 | ((inverse @ sk_c4) = (sk_c8))
% 1.42/0.88 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.42/0.88 inference('demod', [status(thm)],
% 1.42/0.88 [zip_derived_cl169, zip_derived_cl2, zip_derived_cl0,
% 1.42/0.88 zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl180, plain,
% 1.42/0.88 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl179])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl183, plain,
% 1.42/0.88 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl75, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.42/0.88 thf(zip_derived_cl240, plain,
% 1.42/0.88 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.42/0.88 | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl75])).
% 1.42/0.88 thf(prove_this_14, conjecture,
% 1.42/0.88 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 1.42/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.42/0.88 thf(zf_stmt_3, negated_conjecture,
% 1.42/0.88 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 1.42/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.42/0.88 thf(zip_derived_cl16, plain,
% 1.42/0.88 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl75, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.42/0.88 thf(zip_derived_cl86, plain,
% 1.42/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl75])).
% 1.42/0.88 thf(zip_derived_cl272, plain,
% 1.42/0.88 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.42/0.88 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl86])).
% 1.42/0.88 thf(prove_this_9, conjecture,
% 1.42/0.88 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.42/0.88 thf(zf_stmt_4, negated_conjecture,
% 1.42/0.88 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.42/0.88 thf(zip_derived_cl11, plain,
% 1.42/0.88 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 1.42/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.42/0.88 thf(zip_derived_cl308, plain,
% 1.42/0.88 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.42/0.88 = (sk_c8))
% 1.42/0.88 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 1.42/0.88 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl272, zip_derived_cl11])).
% 1.42/0.88 thf(zip_derived_cl2, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.42/0.88 thf(zip_derived_cl0, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl320, plain,
% 1.42/0.88 ((((identity) = (sk_c8))
% 1.42/0.88 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 1.42/0.88 | ((multiply @ sk_c4 @ sk_c8) = (sk_c5)))),
% 1.42/0.88 inference('demod', [status(thm)],
% 1.42/0.88 [zip_derived_cl308, zip_derived_cl2, zip_derived_cl0,
% 1.42/0.88 zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl321, plain,
% 1.42/0.88 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5)) | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl320])).
% 1.42/0.88 thf(zip_derived_cl335, plain,
% 1.42/0.88 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.42/0.88 = (sk_c5))
% 1.42/0.88 | ((identity) = (sk_c8))
% 1.42/0.88 | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl240, zip_derived_cl321])).
% 1.42/0.88 thf(zip_derived_cl2, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.42/0.88 thf(zip_derived_cl0, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl337, plain,
% 1.42/0.88 ((((identity) = (sk_c5))
% 1.42/0.88 | ((identity) = (sk_c8))
% 1.42/0.88 | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('demod', [status(thm)],
% 1.42/0.88 [zip_derived_cl335, zip_derived_cl2, zip_derived_cl0,
% 1.42/0.88 zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl338, plain,
% 1.42/0.88 ((((identity) = (sk_c8)) | ((identity) = (sk_c5)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl337])).
% 1.42/0.88 thf(prove_this_13, conjecture,
% 1.42/0.88 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 1.42/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.42/0.88 thf(zf_stmt_5, negated_conjecture,
% 1.42/0.88 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 1.42/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.42/0.88 thf(zip_derived_cl15, plain,
% 1.42/0.88 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.42/0.88 thf(zip_derived_cl86, plain,
% 1.42/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl75])).
% 1.42/0.88 thf(zip_derived_cl75, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.42/0.88 thf(zip_derived_cl75, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.42/0.88 thf(zip_derived_cl83, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl75])).
% 1.42/0.88 thf(zip_derived_cl357, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl83])).
% 1.42/0.88 thf(zip_derived_cl86, plain,
% 1.42/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl75])).
% 1.42/0.88 thf(zip_derived_cl389, plain,
% 1.42/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl357, zip_derived_cl86])).
% 1.42/0.88 thf(zip_derived_cl517, plain,
% 1.42/0.88 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c8 @ sk_c5) = (sk_c7)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl389])).
% 1.42/0.88 thf(prove_this_8, conjecture,
% 1.42/0.88 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.42/0.88 thf(zf_stmt_6, negated_conjecture,
% 1.42/0.88 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.42/0.88 thf(zip_derived_cl10, plain,
% 1.42/0.88 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 1.42/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.42/0.88 thf(zip_derived_cl622, plain,
% 1.42/0.88 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 1.42/0.88 | ((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 1.42/0.88 | ((multiply @ sk_c8 @ sk_c5) = (sk_c7)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl517, zip_derived_cl10])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl634, plain,
% 1.42/0.88 ((((identity) = (sk_c8))
% 1.42/0.88 | ((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 1.42/0.88 | ((multiply @ sk_c8 @ sk_c5) = (sk_c7)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl622, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl635, plain,
% 1.42/0.88 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl634])).
% 1.42/0.88 thf(zip_derived_cl802, plain,
% 1.42/0.88 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.42/0.88 | ((identity) = (sk_c8))
% 1.42/0.88 | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl635])).
% 1.42/0.88 thf(zip_derived_cl804, plain,
% 1.42/0.88 ((((identity) = (sk_c8)) | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl802])).
% 1.42/0.88 thf(zip_derived_cl357, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl83])).
% 1.42/0.88 thf(zip_derived_cl807, plain,
% 1.42/0.88 ((((sk_c7) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl804, zip_derived_cl357])).
% 1.42/0.88 thf(prove_this_12, conjecture,
% 1.42/0.88 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.42/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.42/0.88 thf(zf_stmt_7, negated_conjecture,
% 1.42/0.88 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.42/0.88 thf(zip_derived_cl14, plain,
% 1.42/0.88 ((((inverse @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl39, plain,
% 1.42/0.88 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl75, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.42/0.88 thf(zip_derived_cl89, plain,
% 1.42/0.88 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl75])).
% 1.42/0.88 thf(prove_this_7, conjecture,
% 1.42/0.88 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.42/0.88 thf(zf_stmt_8, negated_conjecture,
% 1.42/0.88 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.42/0.88 thf(zip_derived_cl9, plain,
% 1.42/0.88 ((((inverse @ sk_c8) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.42/0.88 thf(zip_derived_cl117, plain,
% 1.42/0.88 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.42/0.88 = (sk_c8))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl9])).
% 1.42/0.88 thf(zip_derived_cl2, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.42/0.88 thf(zip_derived_cl0, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl126, plain,
% 1.42/0.88 ((((identity) = (sk_c8))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('demod', [status(thm)],
% 1.42/0.88 [zip_derived_cl117, zip_derived_cl2, zip_derived_cl0,
% 1.42/0.88 zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl127, plain,
% 1.42/0.88 ((((inverse @ sk_c8) = (sk_c6)) | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl126])).
% 1.42/0.88 thf(prove_this_11, conjecture,
% 1.42/0.88 (~( ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) |
% 1.42/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.42/0.88 thf(zf_stmt_9, negated_conjecture,
% 1.42/0.88 (( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) |
% 1.42/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.42/0.88 thf(zip_derived_cl13, plain,
% 1.42/0.88 ((((multiply @ sk_c7 @ sk_c6) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.42/0.88 thf(zip_derived_cl389, plain,
% 1.42/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl357, zip_derived_cl86])).
% 1.42/0.88 thf(zip_derived_cl515, plain,
% 1.42/0.88 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl389])).
% 1.42/0.88 thf(prove_this_6, conjecture,
% 1.42/0.88 (~( ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.42/0.88 thf(zf_stmt_10, negated_conjecture,
% 1.42/0.88 (( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c8 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.42/0.88 thf(zip_derived_cl8, plain,
% 1.42/0.88 ((((multiply @ sk_c7 @ sk_c6) = (sk_c8))
% 1.42/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.42/0.88 thf(zip_derived_cl594, plain,
% 1.42/0.88 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl515, zip_derived_cl8])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl606, plain,
% 1.42/0.88 ((((identity) = (sk_c8))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c6) = (sk_c8)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl594, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl607, plain,
% 1.42/0.88 ((((multiply @ sk_c7 @ sk_c6) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl606])).
% 1.42/0.88 thf(zip_derived_cl792, plain,
% 1.42/0.88 ((((multiply @ sk_c7 @ (inverse @ sk_c8)) = (sk_c8))
% 1.42/0.88 | ((identity) = (sk_c8))
% 1.42/0.88 | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl607])).
% 1.42/0.88 thf(zip_derived_cl797, plain,
% 1.42/0.88 ((((identity) = (sk_c8))
% 1.42/0.88 | ((multiply @ sk_c7 @ (inverse @ sk_c8)) = (sk_c8)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl792])).
% 1.42/0.88 thf(zip_derived_cl1482, plain,
% 1.42/0.88 ((((multiply @ sk_c7 @ (inverse @ sk_c7)) = (sk_c8))
% 1.42/0.88 | ((identity) = (sk_c8))
% 1.42/0.88 | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl807, zip_derived_cl797])).
% 1.42/0.88 thf(zip_derived_cl389, plain,
% 1.42/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl357, zip_derived_cl86])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl507, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl389, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl1484, plain,
% 1.42/0.88 ((((identity) = (sk_c8))
% 1.42/0.88 | ((identity) = (sk_c8))
% 1.42/0.88 | ((identity) = (sk_c8)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl1482, zip_derived_cl507])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl357, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl83])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl0, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl0, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.88 thf(zip_derived_cl75, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.42/0.88 thf(zip_derived_cl85, plain,
% 1.42/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl75])).
% 1.42/0.88 thf(zip_derived_cl75, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.42/0.88 thf(zip_derived_cl115, plain,
% 1.42/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl75])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl344, plain, (((inverse @ identity) = (identity))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl357, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl83])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl357, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl83])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl0, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl357, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl83])).
% 1.42/0.88 thf(zip_derived_cl1514, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.42/0.88 (((inverse @ X0) != (identity))
% 1.42/0.88 | ((X0) != (X1))
% 1.42/0.88 | ((X1) != (sk_c7))
% 1.42/0.88 | ((identity) != (sk_c6))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 1.42/0.88 | ((inverse @ X2) != (identity))
% 1.42/0.88 | ((X2) != (X3))
% 1.42/0.88 | ((X3) != (sk_c7))
% 1.42/0.88 | ((inverse @ X4) != (sk_c7))
% 1.42/0.88 | ((multiply @ X4 @ sk_c7) != (identity))
% 1.42/0.88 | ((sk_c7) != (sk_c6)))),
% 1.42/0.88 inference('demod', [status(thm)],
% 1.42/0.88 [zip_derived_cl34, zip_derived_cl1485, zip_derived_cl1485,
% 1.42/0.88 zip_derived_cl357, zip_derived_cl1485, zip_derived_cl0,
% 1.42/0.88 zip_derived_cl1485, zip_derived_cl344, zip_derived_cl1485,
% 1.42/0.88 zip_derived_cl357, zip_derived_cl1485, zip_derived_cl1485,
% 1.42/0.88 zip_derived_cl1485, zip_derived_cl357, zip_derived_cl1485,
% 1.42/0.88 zip_derived_cl0, zip_derived_cl1485, zip_derived_cl1485,
% 1.42/0.88 zip_derived_cl357])).
% 1.42/0.88 thf(prove_this_5, conjecture,
% 1.42/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 1.42/0.88 thf(zf_stmt_11, negated_conjecture,
% 1.42/0.88 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.42/0.88 thf(zip_derived_cl7, plain,
% 1.42/0.88 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl41, plain,
% 1.42/0.88 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl75, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.42/0.88 thf(zip_derived_cl92, plain,
% 1.42/0.88 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl75])).
% 1.42/0.88 thf(prove_this_4, conjecture,
% 1.42/0.88 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 1.42/0.88 thf(zf_stmt_12, negated_conjecture,
% 1.42/0.88 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c5 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.42/0.88 thf(zip_derived_cl6, plain,
% 1.42/0.88 ((((multiply @ sk_c4 @ sk_c8) = (sk_c5))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.42/0.88 thf(zip_derived_cl185, plain,
% 1.42/0.88 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.42/0.88 = (sk_c5))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl6])).
% 1.42/0.88 thf(zip_derived_cl2, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.42/0.88 thf(zip_derived_cl0, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl189, plain,
% 1.42/0.88 ((((identity) = (sk_c5))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('demod', [status(thm)],
% 1.42/0.88 [zip_derived_cl185, zip_derived_cl2, zip_derived_cl0,
% 1.42/0.88 zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl190, plain,
% 1.42/0.88 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c5)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl189])).
% 1.42/0.88 thf(prove_this_3, conjecture,
% 1.42/0.88 (~( ( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 1.42/0.88 thf(zf_stmt_13, negated_conjecture,
% 1.42/0.88 (( ( multiply @ sk_c8 @ sk_c5 ) = ( sk_c7 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.42/0.88 thf(zip_derived_cl5, plain,
% 1.42/0.88 ((((multiply @ sk_c8 @ sk_c5) = (sk_c7))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.42/0.88 thf(zip_derived_cl193, plain,
% 1.42/0.88 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.42/0.88 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl5])).
% 1.42/0.88 thf(zip_derived_cl194, plain,
% 1.42/0.88 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 1.42/0.88 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl193])).
% 1.42/0.88 thf(zip_derived_cl357, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl83])).
% 1.42/0.88 thf(zip_derived_cl380, plain,
% 1.42/0.88 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl357])).
% 1.42/0.88 thf(prove_this_27, conjecture,
% 1.42/0.88 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.42/0.88 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.42/0.88 thf(zf_stmt_14, negated_conjecture,
% 1.42/0.88 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.42/0.88 thf(zip_derived_cl29, plain,
% 1.42/0.88 ((((inverse @ sk_c8) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl40, plain,
% 1.42/0.88 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl75, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 1.42/0.88 thf(zip_derived_cl95, plain,
% 1.42/0.88 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl75])).
% 1.42/0.88 thf(prove_this_22, conjecture,
% 1.42/0.88 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 1.42/0.88 thf(zf_stmt_15, negated_conjecture,
% 1.42/0.88 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.42/0.88 thf(zip_derived_cl24, plain,
% 1.42/0.88 ((((inverse @ sk_c8) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.42/0.88 thf(zip_derived_cl138, plain,
% 1.42/0.88 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.42/0.88 = (sk_c3))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl24])).
% 1.42/0.88 thf(zip_derived_cl2, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.42/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.42/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.42/0.88 thf(zip_derived_cl0, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.88 thf(zip_derived_cl1, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.42/0.88 thf(zip_derived_cl147, plain,
% 1.42/0.88 ((((identity) = (sk_c3))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('demod', [status(thm)],
% 1.42/0.88 [zip_derived_cl138, zip_derived_cl2, zip_derived_cl0,
% 1.42/0.88 zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl148, plain,
% 1.42/0.88 ((((inverse @ sk_c8) = (sk_c6)) | ((identity) = (sk_c3)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl147])).
% 1.42/0.88 thf(prove_this_17, conjecture,
% 1.42/0.88 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 1.42/0.88 thf(zf_stmt_16, negated_conjecture,
% 1.42/0.88 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.42/0.88 thf(zip_derived_cl19, plain,
% 1.42/0.88 ((((inverse @ sk_c8) = (sk_c6)) | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.42/0.88 thf(zip_derived_cl152, plain,
% 1.42/0.88 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6))
% 1.42/0.88 | ((inverse @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl19])).
% 1.42/0.88 thf(zip_derived_cl155, plain,
% 1.42/0.88 ((((inverse @ sk_c8) = (sk_c6))
% 1.42/0.88 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl152])).
% 1.42/0.88 thf(zip_derived_cl357, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl83])).
% 1.42/0.88 thf(zip_derived_cl379, plain,
% 1.42/0.88 ((((inverse @ sk_c8) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl155, zip_derived_cl357])).
% 1.42/0.88 thf(zip_derived_cl531, plain,
% 1.42/0.88 ((((inverse @ sk_c8) = (multiply @ sk_c7 @ sk_c8))
% 1.42/0.88 | ((sk_c8) = (sk_c7))
% 1.42/0.88 | ((sk_c8) = (sk_c7)))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl380, zip_derived_cl379])).
% 1.42/0.88 thf(zip_derived_cl532, plain,
% 1.42/0.88 ((((sk_c8) = (sk_c7)) | ((inverse @ sk_c8) = (multiply @ sk_c7 @ sk_c8)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl531])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl344, plain, (((inverse @ identity) = (identity))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl357, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl83])).
% 1.42/0.88 thf(zip_derived_cl1553, plain,
% 1.42/0.88 ((((identity) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.42/0.88 inference('demod', [status(thm)],
% 1.42/0.88 [zip_derived_cl532, zip_derived_cl1485, zip_derived_cl1485,
% 1.42/0.88 zip_derived_cl344, zip_derived_cl1485, zip_derived_cl357])).
% 1.42/0.88 thf(zip_derived_cl1554, plain, (((identity) = (sk_c7))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1553])).
% 1.42/0.88 thf(zip_derived_cl1554, plain, (((identity) = (sk_c7))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1553])).
% 1.42/0.88 thf(zip_derived_cl1554, plain, (((identity) = (sk_c7))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1553])).
% 1.42/0.88 thf(zip_derived_cl0, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.42/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.42/0.88 thf(zip_derived_cl1554, plain, (((identity) = (sk_c7))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1553])).
% 1.42/0.88 thf(zip_derived_cl1554, plain, (((identity) = (sk_c7))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1553])).
% 1.42/0.88 thf(zip_derived_cl1554, plain, (((identity) = (sk_c7))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1553])).
% 1.42/0.88 thf(zip_derived_cl357, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl83])).
% 1.42/0.88 thf(zip_derived_cl1554, plain, (((identity) = (sk_c7))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1553])).
% 1.42/0.88 thf(zip_derived_cl1587, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.42/0.88 (((inverse @ X0) != (identity))
% 1.42/0.88 | ((X0) != (X1))
% 1.42/0.88 | ((X1) != (identity))
% 1.42/0.88 | ((identity) != (sk_c6))
% 1.42/0.88 | ((identity) != (identity))
% 1.42/0.88 | ((inverse @ X2) != (identity))
% 1.42/0.88 | ((X2) != (X3))
% 1.42/0.88 | ((X3) != (identity))
% 1.42/0.88 | ((inverse @ X4) != (identity))
% 1.42/0.88 | ((X4) != (identity))
% 1.42/0.88 | ((identity) != (sk_c6)))),
% 1.42/0.88 inference('demod', [status(thm)],
% 1.42/0.88 [zip_derived_cl1514, zip_derived_cl1554, zip_derived_cl1554,
% 1.42/0.88 zip_derived_cl1554, zip_derived_cl0, zip_derived_cl1554,
% 1.42/0.88 zip_derived_cl1554, zip_derived_cl1554, zip_derived_cl357,
% 1.42/0.88 zip_derived_cl1554])).
% 1.42/0.88 thf(zip_derived_cl1588, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.42/0.88 (((X4) != (identity))
% 1.42/0.88 | ((inverse @ X4) != (identity))
% 1.42/0.88 | ((X3) != (identity))
% 1.42/0.88 | ((X2) != (X3))
% 1.42/0.88 | ((inverse @ X2) != (identity))
% 1.42/0.88 | ((identity) != (sk_c6))
% 1.42/0.88 | ((X1) != (identity))
% 1.42/0.88 | ((X0) != (X1))
% 1.42/0.88 | ((inverse @ X0) != (identity)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1587])).
% 1.42/0.88 thf(zip_derived_cl1589, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.42/0.88 (((inverse @ X0) != (identity))
% 1.42/0.88 | ((X0) != (X1))
% 1.42/0.88 | ((X1) != (identity))
% 1.42/0.88 | ((identity) != (sk_c6))
% 1.42/0.88 | ((inverse @ X2) != (identity))
% 1.42/0.88 | ((X2) != (identity))
% 1.42/0.88 | ((inverse @ X3) != (identity))
% 1.42/0.88 | ((X3) != (identity)))),
% 1.42/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1588])).
% 1.42/0.88 thf(zip_derived_cl1590, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.88 (((X0) != (identity))
% 1.42/0.88 | ((inverse @ X0) != (identity))
% 1.42/0.88 | ((X1) != (identity))
% 1.42/0.88 | ((inverse @ X1) != (identity))
% 1.42/0.88 | ((identity) != (sk_c6))
% 1.42/0.88 | ((X2) != (identity))
% 1.42/0.88 | ((inverse @ X2) != (identity)))),
% 1.42/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1589])).
% 1.42/0.88 thf(prove_this_2, conjecture,
% 1.42/0.88 (~( ( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 1.42/0.88 thf(zf_stmt_17, negated_conjecture,
% 1.42/0.88 (( ( inverse @ sk_c8 ) = ( sk_c6 ) ) |
% 1.42/0.88 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 1.42/0.88 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.42/0.88 thf(zip_derived_cl4, plain,
% 1.42/0.88 ((((inverse @ sk_c8) = (sk_c6)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 1.42/0.88 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl344, plain, (((inverse @ identity) = (identity))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl1485, plain, (((identity) = (sk_c8))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1484])).
% 1.42/0.88 thf(zip_derived_cl357, plain,
% 1.42/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl83])).
% 1.42/0.88 thf(zip_derived_cl1487, plain,
% 1.42/0.88 ((((identity) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.42/0.88 inference('demod', [status(thm)],
% 1.42/0.88 [zip_derived_cl4, zip_derived_cl1485, zip_derived_cl344,
% 1.42/0.88 zip_derived_cl1485, zip_derived_cl357])).
% 1.42/0.88 thf(zip_derived_cl1554, plain, (((identity) = (sk_c7))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1553])).
% 1.42/0.88 thf(zip_derived_cl1591, plain,
% 1.42/0.88 ((((identity) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.42/0.88 inference('demod', [status(thm)],
% 1.42/0.88 [zip_derived_cl1487, zip_derived_cl1554])).
% 1.42/0.88 thf(zip_derived_cl1592, plain, (((identity) = (sk_c6))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1591])).
% 1.42/0.88 thf(zip_derived_cl1597, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.88 (((X0) != (identity))
% 1.42/0.88 | ((inverse @ X0) != (identity))
% 1.42/0.88 | ((X1) != (identity))
% 1.42/0.88 | ((inverse @ X1) != (identity))
% 1.42/0.88 | ((identity) != (identity))
% 1.42/0.88 | ((X2) != (identity))
% 1.42/0.88 | ((inverse @ X2) != (identity)))),
% 1.42/0.88 inference('demod', [status(thm)],
% 1.42/0.88 [zip_derived_cl1590, zip_derived_cl1592])).
% 1.42/0.88 thf(zip_derived_cl1598, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/0.88 (((inverse @ X2) != (identity))
% 1.42/0.88 | ((X2) != (identity))
% 1.42/0.88 | ((inverse @ X1) != (identity))
% 1.42/0.88 | ((X1) != (identity))
% 1.42/0.88 | ((inverse @ X0) != (identity))
% 1.42/0.88 | ((X0) != (identity)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1597])).
% 1.42/0.88 thf(zip_derived_cl1599, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 (((X0) != (identity))
% 1.42/0.88 | ((inverse @ X0) != (identity))
% 1.42/0.88 | ((X1) != (identity))
% 1.42/0.88 | ((inverse @ X1) != (identity))
% 1.42/0.88 | ((inverse @ identity) != (identity)))),
% 1.42/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1598])).
% 1.42/0.88 thf(zip_derived_cl344, plain, (((inverse @ identity) = (identity))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl1600, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 (((X0) != (identity))
% 1.42/0.88 | ((inverse @ X0) != (identity))
% 1.42/0.88 | ((X1) != (identity))
% 1.42/0.88 | ((inverse @ X1) != (identity))
% 1.42/0.88 | ((identity) != (identity)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl1599, zip_derived_cl344])).
% 1.42/0.88 thf(zip_derived_cl1601, plain,
% 1.42/0.88 (![X0 : $i, X1 : $i]:
% 1.42/0.88 (((inverse @ X1) != (identity))
% 1.42/0.88 | ((X1) != (identity))
% 1.42/0.88 | ((inverse @ X0) != (identity))
% 1.42/0.88 | ((X0) != (identity)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1600])).
% 1.42/0.88 thf(zip_derived_cl1648, plain,
% 1.42/0.88 (![X0 : $i]:
% 1.42/0.88 (((X0) != (identity))
% 1.42/0.88 | ((inverse @ X0) != (identity))
% 1.42/0.88 | ((inverse @ identity) != (identity)))),
% 1.42/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1601])).
% 1.42/0.88 thf(zip_derived_cl344, plain, (((inverse @ identity) = (identity))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl1649, plain,
% 1.42/0.88 (![X0 : $i]:
% 1.42/0.88 (((X0) != (identity))
% 1.42/0.88 | ((inverse @ X0) != (identity))
% 1.42/0.88 | ((identity) != (identity)))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl1648, zip_derived_cl344])).
% 1.42/0.88 thf(zip_derived_cl1650, plain,
% 1.42/0.88 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1649])).
% 1.42/0.88 thf(zip_derived_cl1651, plain, (((inverse @ identity) != (identity))),
% 1.42/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1650])).
% 1.42/0.88 thf(zip_derived_cl344, plain, (((inverse @ identity) = (identity))),
% 1.42/0.88 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl1])).
% 1.42/0.88 thf(zip_derived_cl1652, plain, (((identity) != (identity))),
% 1.42/0.88 inference('demod', [status(thm)], [zip_derived_cl1651, zip_derived_cl344])).
% 1.42/0.88 thf(zip_derived_cl1653, plain, ($false),
% 1.42/0.88 inference('simplify', [status(thm)], [zip_derived_cl1652])).
% 1.42/0.88
% 1.42/0.88 % SZS output end Refutation
% 1.42/0.88
% 1.42/0.88
% 1.42/0.88 % Terminating...
% 1.44/0.96 % Runner terminated.
% 1.44/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------