TSTP Solution File: GRP241-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP241-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6rx52jgisJ true
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:50:51 EDT 2023
% Result : Unsatisfiable 1.43s 0.86s
% Output : Refutation 1.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GRP241-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6rx52jgisJ true
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 21:04:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.60 % Total configuration time : 435
% 0.21/0.60 % Estimated wc time : 1092
% 0.21/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.43/0.86 % Solved by fo/fo7.sh.
% 1.43/0.86 % done 288 iterations in 0.099s
% 1.43/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.43/0.86 % SZS output start Refutation
% 1.43/0.86 thf(sk_c4_type, type, sk_c4: $i).
% 1.43/0.86 thf(sk_c1_type, type, sk_c1: $i).
% 1.43/0.86 thf(sk_c5_type, type, sk_c5: $i).
% 1.43/0.86 thf(identity_type, type, identity: $i).
% 1.43/0.86 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.43/0.86 thf(sk_c7_type, type, sk_c7: $i).
% 1.43/0.86 thf(inverse_type, type, inverse: $i > $i).
% 1.43/0.86 thf(sk_c6_type, type, sk_c6: $i).
% 1.43/0.86 thf(sk_c8_type, type, sk_c8: $i).
% 1.43/0.86 thf(prove_this_36, conjecture,
% 1.43/0.86 (~( ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.43/0.86 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 1.43/0.86 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.43/0.86 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.43/0.86 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 1.43/0.86 ( ( multiply @ X6 @ sk_c8 ) != ( X5 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c8 @ X5 ) != ( sk_c7 ) ) |
% 1.43/0.86 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 1.43/0.86 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c7 ) != ( sk_c8 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) ))).
% 1.43/0.86 thf(zf_stmt_0, negated_conjecture,
% 1.43/0.86 (( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 1.43/0.86 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 1.43/0.86 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.43/0.86 ( ( inverse @ X1 ) != ( sk_c8 ) ) | ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 1.43/0.86 ( ( multiply @ X6 @ sk_c8 ) != ( X5 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c8 @ X5 ) != ( sk_c7 ) ) |
% 1.43/0.86 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 1.43/0.86 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c7 ) != ( sk_c8 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c8 ) != ( sk_c7 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 1.43/0.86 thf(zip_derived_cl38, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.43/0.86 (((inverse @ X0) != (sk_c8))
% 1.43/0.86 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.43/0.86 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 1.43/0.86 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 1.43/0.86 | ((inverse @ X2) != (sk_c8))
% 1.43/0.86 | ((inverse @ X3) != (sk_c8))
% 1.43/0.86 | ((multiply @ X3 @ sk_c8) != (X4))
% 1.43/0.86 | ((multiply @ sk_c8 @ X4) != (sk_c7))
% 1.43/0.86 | ((inverse @ X5) != (sk_c7))
% 1.43/0.86 | ((multiply @ X5 @ sk_c7) != (sk_c8))
% 1.43/0.86 | ((inverse @ sk_c7) != (sk_c8))
% 1.43/0.86 | ((inverse @ sk_c8) != (sk_c7)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.43/0.86 thf(zip_derived_cl39, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.43/0.86 (((inverse @ X0) != (sk_c8))
% 1.43/0.86 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.43/0.86 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 1.43/0.86 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 1.43/0.86 | ((inverse @ X2) != (sk_c8))
% 1.43/0.86 | ((inverse @ X3) != (sk_c8))
% 1.43/0.86 | ((multiply @ X3 @ sk_c8) != (X4))
% 1.43/0.86 | ((multiply @ sk_c8 @ X4) != (inverse @ sk_c8))
% 1.43/0.86 | ((inverse @ X5) != (inverse @ sk_c8))
% 1.43/0.86 | ((multiply @ X5 @ (inverse @ sk_c8)) != (sk_c8))
% 1.43/0.86 | ((inverse @ (inverse @ sk_c8)) != (sk_c8))
% 1.43/0.86 | ((inverse @ sk_c8) != (sk_c7)))),
% 1.43/0.86 inference('local_rewriting', [status(thm)], [zip_derived_cl38])).
% 1.43/0.86 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(associativity, axiom,
% 1.43/0.86 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.43/0.86 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.43/0.86 thf(zip_derived_cl2, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.43/0.86 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.43/0.86 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.43/0.86 inference('cnf', [status(esa)], [associativity])).
% 1.43/0.86 thf(zip_derived_cl57, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 ((multiply @ identity @ X0)
% 1.43/0.86 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.43/0.86 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.43/0.86 thf(zip_derived_cl0, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_identity])).
% 1.43/0.86 thf(zip_derived_cl79, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.43/0.86 thf(zip_derived_cl93, plain,
% 1.43/0.86 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl79])).
% 1.43/0.86 thf(zip_derived_cl79, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.43/0.86 thf(zip_derived_cl79, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.43/0.86 thf(zip_derived_cl90, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl79])).
% 1.43/0.86 thf(zip_derived_cl482, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 1.43/0.86 thf(zip_derived_cl93, plain,
% 1.43/0.86 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl79])).
% 1.43/0.86 thf(zip_derived_cl530, plain,
% 1.43/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl93])).
% 1.43/0.86 thf(zip_derived_cl647, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.43/0.86 (((inverse @ X0) != (sk_c8))
% 1.43/0.86 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.43/0.86 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 1.43/0.86 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 1.43/0.86 | ((inverse @ X2) != (sk_c8))
% 1.43/0.86 | ((inverse @ X3) != (sk_c8))
% 1.43/0.86 | ((multiply @ X3 @ sk_c8) != (X4))
% 1.43/0.86 | ((multiply @ sk_c8 @ X4) != (inverse @ sk_c8))
% 1.43/0.86 | ((inverse @ X5) != (inverse @ sk_c8))
% 1.43/0.86 | ((multiply @ X5 @ (inverse @ sk_c8)) != (sk_c8))
% 1.43/0.86 | ((sk_c8) != (sk_c8))
% 1.43/0.86 | ((inverse @ sk_c8) != (sk_c7)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl530])).
% 1.43/0.86 thf(zip_derived_cl648, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.43/0.86 (((inverse @ sk_c8) != (sk_c7))
% 1.43/0.86 | ((multiply @ X5 @ (inverse @ sk_c8)) != (sk_c8))
% 1.43/0.86 | ((inverse @ X5) != (inverse @ sk_c8))
% 1.43/0.86 | ((multiply @ sk_c8 @ X4) != (inverse @ sk_c8))
% 1.43/0.86 | ((multiply @ X3 @ sk_c8) != (X4))
% 1.43/0.86 | ((inverse @ X3) != (sk_c8))
% 1.43/0.86 | ((inverse @ X2) != (sk_c8))
% 1.43/0.86 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 1.43/0.86 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 1.43/0.86 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.43/0.86 | ((inverse @ X0) != (sk_c8)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl647])).
% 1.43/0.86 thf(prove_this_16, conjecture,
% 1.43/0.86 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.43/0.86 thf(zf_stmt_1, negated_conjecture,
% 1.43/0.86 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.43/0.86 thf(zip_derived_cl18, plain,
% 1.43/0.86 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl44, plain,
% 1.43/0.86 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.43/0.86 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl79, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.43/0.86 thf(zip_derived_cl105, plain,
% 1.43/0.86 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.43/0.86 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl79])).
% 1.43/0.86 thf(prove_this_11, conjecture,
% 1.43/0.86 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.43/0.86 thf(zf_stmt_2, negated_conjecture,
% 1.43/0.86 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.43/0.86 thf(zip_derived_cl13, plain,
% 1.43/0.86 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.43/0.86 thf(zip_derived_cl139, plain,
% 1.43/0.86 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.43/0.86 = (sk_c8))
% 1.43/0.86 | ((inverse @ sk_c4) = (sk_c8))
% 1.43/0.86 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl13])).
% 1.43/0.86 thf(zip_derived_cl2, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.43/0.86 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.43/0.86 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.43/0.86 inference('cnf', [status(esa)], [associativity])).
% 1.43/0.86 thf(zip_derived_cl0, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_identity])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl151, plain,
% 1.43/0.86 ((((identity) = (sk_c8))
% 1.43/0.86 | ((inverse @ sk_c4) = (sk_c8))
% 1.43/0.86 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.43/0.86 inference('demod', [status(thm)],
% 1.43/0.86 [zip_derived_cl139, zip_derived_cl2, zip_derived_cl0,
% 1.43/0.86 zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl152, plain,
% 1.43/0.86 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl151])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl179, plain,
% 1.43/0.86 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl79, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.43/0.86 thf(zip_derived_cl273, plain,
% 1.43/0.86 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.43/0.86 | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl79])).
% 1.43/0.86 thf(zip_derived_cl482, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 1.43/0.86 thf(zip_derived_cl517, plain,
% 1.43/0.86 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl273, zip_derived_cl482])).
% 1.43/0.86 thf(prove_this_20, conjecture,
% 1.43/0.86 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.43/0.86 thf(zf_stmt_3, negated_conjecture,
% 1.43/0.86 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.43/0.86 thf(zip_derived_cl22, plain,
% 1.43/0.86 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl45, plain,
% 1.43/0.86 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.43/0.86 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl79, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.43/0.86 thf(zip_derived_cl106, plain,
% 1.43/0.86 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.43/0.86 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl79])).
% 1.43/0.86 thf(prove_this_15, conjecture,
% 1.43/0.86 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.43/0.86 thf(zf_stmt_4, negated_conjecture,
% 1.43/0.86 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.43/0.86 thf(zip_derived_cl17, plain,
% 1.43/0.86 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.43/0.86 thf(zip_derived_cl163, plain,
% 1.43/0.86 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.43/0.86 = (sk_c8))
% 1.43/0.86 | ((inverse @ sk_c5) = (sk_c8))
% 1.43/0.86 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl17])).
% 1.43/0.86 thf(zip_derived_cl2, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.43/0.86 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.43/0.86 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.43/0.86 inference('cnf', [status(esa)], [associativity])).
% 1.43/0.86 thf(zip_derived_cl0, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_identity])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl175, plain,
% 1.43/0.86 ((((identity) = (sk_c8))
% 1.43/0.86 | ((inverse @ sk_c5) = (sk_c8))
% 1.43/0.86 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.43/0.86 inference('demod', [status(thm)],
% 1.43/0.86 [zip_derived_cl163, zip_derived_cl2, zip_derived_cl0,
% 1.43/0.86 zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl176, plain,
% 1.43/0.86 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl181, plain,
% 1.43/0.86 ((((multiply @ sk_c8 @ sk_c5) = (identity)) | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl176, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl79, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.43/0.86 thf(zip_derived_cl278, plain,
% 1.43/0.86 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.43/0.86 | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl79])).
% 1.43/0.86 thf(zip_derived_cl482, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 1.43/0.86 thf(zip_derived_cl518, plain,
% 1.43/0.86 ((((sk_c5) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl278, zip_derived_cl482])).
% 1.43/0.86 thf(prove_this_19, conjecture,
% 1.43/0.86 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.43/0.86 thf(zf_stmt_5, negated_conjecture,
% 1.43/0.86 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.43/0.86 thf(zip_derived_cl21, plain,
% 1.43/0.86 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.43/0.86 thf(zip_derived_cl530, plain,
% 1.43/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl93])).
% 1.43/0.86 thf(zip_derived_cl665, plain,
% 1.43/0.86 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl530])).
% 1.43/0.86 thf(prove_this_14, conjecture,
% 1.43/0.86 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.43/0.86 thf(zf_stmt_6, negated_conjecture,
% 1.43/0.86 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.43/0.86 thf(zip_derived_cl16, plain,
% 1.43/0.86 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 1.43/0.86 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.43/0.86 thf(zip_derived_cl708, plain,
% 1.43/0.86 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 1.43/0.86 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 1.43/0.86 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl665, zip_derived_cl16])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl720, plain,
% 1.43/0.86 ((((identity) = (sk_c8))
% 1.43/0.86 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 1.43/0.86 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl708, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl721, plain,
% 1.43/0.86 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl720])).
% 1.43/0.86 thf(zip_derived_cl1079, plain,
% 1.43/0.86 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 1.43/0.86 | ((identity) = (sk_c8))
% 1.43/0.86 | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl518, zip_derived_cl721])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl1083, plain,
% 1.43/0.86 ((((identity) = (sk_c6))
% 1.43/0.86 | ((identity) = (sk_c8))
% 1.43/0.86 | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl1079, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl1084, plain,
% 1.43/0.86 ((((identity) = (sk_c8)) | ((identity) = (sk_c6)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1083])).
% 1.43/0.86 thf(prove_this_18, conjecture,
% 1.43/0.86 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.43/0.86 thf(zf_stmt_7, negated_conjecture,
% 1.43/0.86 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.43/0.86 thf(zip_derived_cl20, plain,
% 1.43/0.86 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.43/0.86 thf(zip_derived_cl530, plain,
% 1.43/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl93])).
% 1.43/0.86 thf(zip_derived_cl664, plain,
% 1.43/0.86 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl530])).
% 1.43/0.86 thf(prove_this_13, conjecture,
% 1.43/0.86 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.43/0.86 thf(zf_stmt_8, negated_conjecture,
% 1.43/0.86 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.43/0.86 thf(zip_derived_cl15, plain,
% 1.43/0.86 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 1.43/0.86 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.43/0.86 thf(zip_derived_cl922, plain,
% 1.43/0.86 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 1.43/0.86 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 1.43/0.86 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl664, zip_derived_cl15])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl936, plain,
% 1.43/0.86 ((((identity) = (sk_c8))
% 1.43/0.86 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 1.43/0.86 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl922, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl937, plain,
% 1.43/0.86 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl936])).
% 1.43/0.86 thf(zip_derived_cl1247, plain,
% 1.43/0.86 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.43/0.86 | ((identity) = (sk_c8))
% 1.43/0.86 | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl1084, zip_derived_cl937])).
% 1.43/0.86 thf(zip_derived_cl482, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 1.43/0.86 thf(zip_derived_cl1250, plain,
% 1.43/0.86 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl1247, zip_derived_cl482])).
% 1.43/0.86 thf(zip_derived_cl1251, plain,
% 1.43/0.86 ((((identity) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1250])).
% 1.43/0.86 thf(prove_this_17, conjecture,
% 1.43/0.86 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.43/0.86 thf(zf_stmt_9, negated_conjecture,
% 1.43/0.86 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.43/0.86 thf(zip_derived_cl19, plain,
% 1.43/0.86 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.43/0.86 thf(zip_derived_cl530, plain,
% 1.43/0.86 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl93])).
% 1.43/0.86 thf(zip_derived_cl663, plain,
% 1.43/0.86 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl530])).
% 1.43/0.86 thf(prove_this_12, conjecture,
% 1.43/0.86 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.43/0.86 thf(zf_stmt_10, negated_conjecture,
% 1.43/0.86 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.43/0.86 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.43/0.86 thf(zip_derived_cl14, plain,
% 1.43/0.86 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.43/0.86 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.43/0.86 thf(zip_derived_cl891, plain,
% 1.43/0.86 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c8))
% 1.43/0.86 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.43/0.86 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl663, zip_derived_cl14])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl905, plain,
% 1.43/0.86 ((((identity) = (sk_c8))
% 1.43/0.86 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 1.43/0.86 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl891, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl906, plain,
% 1.43/0.86 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl905])).
% 1.43/0.86 thf(zip_derived_cl1268, plain,
% 1.43/0.86 ((((multiply @ sk_c4 @ sk_c8) = (sk_c8))
% 1.43/0.86 | ((identity) = (sk_c8))
% 1.43/0.86 | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl1251, zip_derived_cl906])).
% 1.43/0.86 thf(zip_derived_cl1270, plain,
% 1.43/0.86 ((((identity) = (sk_c8)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c8)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1268])).
% 1.43/0.86 thf(zip_derived_cl1364, plain,
% 1.43/0.86 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 1.43/0.86 | ((identity) = (sk_c8))
% 1.43/0.86 | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl517, zip_derived_cl1270])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl1370, plain,
% 1.43/0.86 ((((identity) = (sk_c8))
% 1.43/0.86 | ((identity) = (sk_c8))
% 1.43/0.86 | ((identity) = (sk_c8)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl1364, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl0, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_identity])).
% 1.43/0.86 thf(zip_derived_cl79, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.43/0.86 thf(zip_derived_cl92, plain,
% 1.43/0.86 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl79])).
% 1.43/0.86 thf(zip_derived_cl79, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.43/0.86 thf(zip_derived_cl131, plain,
% 1.43/0.86 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl79])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl482, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl0, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_identity])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl482, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl482, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl0, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_identity])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl482, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl1447, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.43/0.86 (((identity) != (sk_c7))
% 1.43/0.86 | ((X5) != (identity))
% 1.43/0.86 | ((inverse @ X5) != (identity))
% 1.43/0.86 | ((X4) != (identity))
% 1.43/0.86 | ((X3) != (X4))
% 1.43/0.86 | ((inverse @ X3) != (identity))
% 1.43/0.86 | ((inverse @ X2) != (identity))
% 1.43/0.86 | ((X2) != (identity))
% 1.43/0.86 | ((X1) != (identity))
% 1.43/0.86 | ((X0) != (X1))
% 1.43/0.86 | ((inverse @ X0) != (identity)))),
% 1.43/0.86 inference('demod', [status(thm)],
% 1.43/0.86 [zip_derived_cl648, zip_derived_cl1371, zip_derived_cl469,
% 1.43/0.86 zip_derived_cl1371, zip_derived_cl469, zip_derived_cl482,
% 1.43/0.86 zip_derived_cl1371, zip_derived_cl1371, zip_derived_cl469,
% 1.43/0.86 zip_derived_cl1371, zip_derived_cl0, zip_derived_cl1371,
% 1.43/0.86 zip_derived_cl469, zip_derived_cl1371, zip_derived_cl482,
% 1.43/0.86 zip_derived_cl1371, zip_derived_cl1371, zip_derived_cl1371,
% 1.43/0.86 zip_derived_cl469, zip_derived_cl482, zip_derived_cl1371,
% 1.43/0.86 zip_derived_cl1371, zip_derived_cl0, zip_derived_cl1371,
% 1.43/0.86 zip_derived_cl469, zip_derived_cl1371, zip_derived_cl482,
% 1.43/0.86 zip_derived_cl1371])).
% 1.43/0.86 thf(prove_this_5, conjecture,
% 1.43/0.86 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.43/0.86 thf(zf_stmt_11, negated_conjecture,
% 1.43/0.86 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.43/0.86 thf(zip_derived_cl7, plain,
% 1.43/0.86 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c7)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl42, plain,
% 1.43/0.86 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 1.43/0.86 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl79, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.43/0.86 thf(zip_derived_cl99, plain,
% 1.43/0.86 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.43/0.86 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl79])).
% 1.43/0.86 thf(prove_this_4, conjecture,
% 1.43/0.86 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.43/0.86 thf(zf_stmt_12, negated_conjecture,
% 1.43/0.86 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.43/0.86 thf(zip_derived_cl6, plain,
% 1.43/0.86 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c8) = (sk_c7)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.43/0.86 thf(zip_derived_cl197, plain,
% 1.43/0.86 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.43/0.86 = (sk_c6))
% 1.43/0.86 | ((inverse @ sk_c8) = (sk_c7))
% 1.43/0.86 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl6])).
% 1.43/0.86 thf(zip_derived_cl2, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.43/0.86 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.43/0.86 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.43/0.86 inference('cnf', [status(esa)], [associativity])).
% 1.43/0.86 thf(zip_derived_cl0, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_identity])).
% 1.43/0.86 thf(zip_derived_cl1, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.43/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 1.43/0.86 thf(zip_derived_cl204, plain,
% 1.43/0.86 ((((identity) = (sk_c6))
% 1.43/0.86 | ((inverse @ sk_c8) = (sk_c7))
% 1.43/0.86 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.43/0.86 inference('demod', [status(thm)],
% 1.43/0.86 [zip_derived_cl197, zip_derived_cl2, zip_derived_cl0,
% 1.43/0.86 zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl205, plain,
% 1.43/0.86 ((((inverse @ sk_c8) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl204])).
% 1.43/0.86 thf(prove_this_3, conjecture,
% 1.43/0.86 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.43/0.86 thf(zf_stmt_13, negated_conjecture,
% 1.43/0.86 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.43/0.86 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 1.43/0.86 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.43/0.86 thf(zip_derived_cl5, plain,
% 1.43/0.86 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c8) = (sk_c7)))),
% 1.43/0.86 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.43/0.86 thf(zip_derived_cl209, plain,
% 1.43/0.86 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 1.43/0.86 | ((inverse @ sk_c8) = (sk_c7))
% 1.43/0.86 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl5])).
% 1.43/0.86 thf(zip_derived_cl212, plain,
% 1.43/0.86 ((((inverse @ sk_c8) = (sk_c7))
% 1.43/0.86 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl209])).
% 1.43/0.86 thf(zip_derived_cl482, plain,
% 1.43/0.86 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl90])).
% 1.43/0.86 thf(zip_derived_cl513, plain,
% 1.43/0.86 ((((inverse @ sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl212, zip_derived_cl482])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl1371, plain, (((identity) = (sk_c8))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 1.43/0.86 thf(zip_derived_cl1436, plain,
% 1.43/0.86 ((((identity) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.43/0.86 inference('demod', [status(thm)],
% 1.43/0.86 [zip_derived_cl513, zip_derived_cl1371, zip_derived_cl469,
% 1.43/0.86 zip_derived_cl1371])).
% 1.43/0.86 thf(zip_derived_cl1437, plain, (((identity) = (sk_c7))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1436])).
% 1.43/0.86 thf(zip_derived_cl1493, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.43/0.86 (((identity) != (identity))
% 1.43/0.86 | ((X5) != (identity))
% 1.43/0.86 | ((inverse @ X5) != (identity))
% 1.43/0.86 | ((X4) != (identity))
% 1.43/0.86 | ((X3) != (X4))
% 1.43/0.86 | ((inverse @ X3) != (identity))
% 1.43/0.86 | ((inverse @ X2) != (identity))
% 1.43/0.86 | ((X2) != (identity))
% 1.43/0.86 | ((X1) != (identity))
% 1.43/0.86 | ((X0) != (X1))
% 1.43/0.86 | ((inverse @ X0) != (identity)))),
% 1.43/0.86 inference('demod', [status(thm)],
% 1.43/0.86 [zip_derived_cl1447, zip_derived_cl1437])).
% 1.43/0.86 thf(zip_derived_cl1494, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.43/0.86 (((inverse @ X0) != (identity))
% 1.43/0.86 | ((X0) != (X1))
% 1.43/0.86 | ((X1) != (identity))
% 1.43/0.86 | ((X2) != (identity))
% 1.43/0.86 | ((inverse @ X2) != (identity))
% 1.43/0.86 | ((inverse @ X3) != (identity))
% 1.43/0.86 | ((X3) != (X4))
% 1.43/0.86 | ((X4) != (identity))
% 1.43/0.86 | ((inverse @ X5) != (identity))
% 1.43/0.86 | ((X5) != (identity)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1493])).
% 1.43/0.86 thf(zip_derived_cl1495, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.43/0.86 (((X0) != (identity))
% 1.43/0.86 | ((inverse @ X0) != (identity))
% 1.43/0.86 | ((X1) != (identity))
% 1.43/0.86 | ((X2) != (X1))
% 1.43/0.86 | ((inverse @ X2) != (identity))
% 1.43/0.86 | ((inverse @ X3) != (identity))
% 1.43/0.86 | ((X3) != (identity))
% 1.43/0.86 | ((X4) != (identity))
% 1.43/0.86 | ((inverse @ X4) != (identity)))),
% 1.43/0.86 inference('eq_res', [status(thm)], [zip_derived_cl1494])).
% 1.43/0.86 thf(zip_derived_cl1496, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.43/0.86 (((inverse @ X0) != (identity))
% 1.43/0.86 | ((X0) != (identity))
% 1.43/0.86 | ((X1) != (identity))
% 1.43/0.86 | ((inverse @ X1) != (identity))
% 1.43/0.86 | ((inverse @ X2) != (identity))
% 1.43/0.86 | ((X2) != (identity))
% 1.43/0.86 | ((inverse @ X3) != (identity))
% 1.43/0.86 | ((X3) != (identity)))),
% 1.43/0.86 inference('eq_res', [status(thm)], [zip_derived_cl1495])).
% 1.43/0.86 thf(zip_derived_cl1497, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.43/0.86 (((X0) != (identity))
% 1.43/0.86 | ((inverse @ X0) != (identity))
% 1.43/0.86 | ((X1) != (identity))
% 1.43/0.86 | ((inverse @ X1) != (identity))
% 1.43/0.86 | ((inverse @ X2) != (identity))
% 1.43/0.86 | ((X2) != (identity))
% 1.43/0.86 | ((inverse @ identity) != (identity)))),
% 1.43/0.86 inference('eq_res', [status(thm)], [zip_derived_cl1496])).
% 1.43/0.86 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl1498, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.43/0.86 (((X0) != (identity))
% 1.43/0.86 | ((inverse @ X0) != (identity))
% 1.43/0.86 | ((X1) != (identity))
% 1.43/0.86 | ((inverse @ X1) != (identity))
% 1.43/0.86 | ((inverse @ X2) != (identity))
% 1.43/0.86 | ((X2) != (identity))
% 1.43/0.86 | ((identity) != (identity)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl1497, zip_derived_cl469])).
% 1.43/0.86 thf(zip_derived_cl1499, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.43/0.86 (((X2) != (identity))
% 1.43/0.86 | ((inverse @ X2) != (identity))
% 1.43/0.86 | ((inverse @ X1) != (identity))
% 1.43/0.86 | ((X1) != (identity))
% 1.43/0.86 | ((inverse @ X0) != (identity))
% 1.43/0.86 | ((X0) != (identity)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1498])).
% 1.43/0.86 thf(zip_derived_cl1500, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 (((X0) != (identity))
% 1.43/0.86 | ((inverse @ X0) != (identity))
% 1.43/0.86 | ((X1) != (identity))
% 1.43/0.86 | ((inverse @ X1) != (identity))
% 1.43/0.86 | ((inverse @ identity) != (identity)))),
% 1.43/0.86 inference('eq_res', [status(thm)], [zip_derived_cl1499])).
% 1.43/0.86 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl1501, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 (((X0) != (identity))
% 1.43/0.86 | ((inverse @ X0) != (identity))
% 1.43/0.86 | ((X1) != (identity))
% 1.43/0.86 | ((inverse @ X1) != (identity))
% 1.43/0.86 | ((identity) != (identity)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl1500, zip_derived_cl469])).
% 1.43/0.86 thf(zip_derived_cl1502, plain,
% 1.43/0.86 (![X0 : $i, X1 : $i]:
% 1.43/0.86 (((inverse @ X1) != (identity))
% 1.43/0.86 | ((X1) != (identity))
% 1.43/0.86 | ((inverse @ X0) != (identity))
% 1.43/0.86 | ((X0) != (identity)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1501])).
% 1.43/0.86 thf(zip_derived_cl1503, plain,
% 1.43/0.86 (![X0 : $i]:
% 1.43/0.86 (((X0) != (identity))
% 1.43/0.86 | ((inverse @ X0) != (identity))
% 1.43/0.86 | ((inverse @ identity) != (identity)))),
% 1.43/0.86 inference('eq_res', [status(thm)], [zip_derived_cl1502])).
% 1.43/0.86 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl1504, plain,
% 1.43/0.86 (![X0 : $i]:
% 1.43/0.86 (((X0) != (identity))
% 1.43/0.86 | ((inverse @ X0) != (identity))
% 1.43/0.86 | ((identity) != (identity)))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl1503, zip_derived_cl469])).
% 1.43/0.86 thf(zip_derived_cl1505, plain,
% 1.43/0.86 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1504])).
% 1.43/0.86 thf(zip_derived_cl1567, plain, (((inverse @ identity) != (identity))),
% 1.43/0.86 inference('eq_res', [status(thm)], [zip_derived_cl1505])).
% 1.43/0.86 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 1.43/0.86 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.43/0.86 thf(zip_derived_cl1568, plain, (((identity) != (identity))),
% 1.43/0.86 inference('demod', [status(thm)], [zip_derived_cl1567, zip_derived_cl469])).
% 1.43/0.86 thf(zip_derived_cl1569, plain, ($false),
% 1.43/0.86 inference('simplify', [status(thm)], [zip_derived_cl1568])).
% 1.43/0.86
% 1.43/0.86 % SZS output end Refutation
% 1.43/0.86
% 1.43/0.86
% 1.43/0.86 % Terminating...
% 1.70/0.93 % Runner terminated.
% 1.70/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------