TSTP Solution File: GRP282-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP282-1 : 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.t8czwtpVFW true
% Computer : n014.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 01:51:02 EDT 2023
% Result : Unsatisfiable 1.57s 1.03s
% Output : Refutation 1.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP282-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t8czwtpVFW true
% 0.14/0.35 % Computer : n014.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 23:58:45 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.57/1.03 % Solved by fo/fo7.sh.
% 1.57/1.03 % done 336 iterations in 0.182s
% 1.57/1.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.57/1.03 % SZS output start Refutation
% 1.57/1.03 thf(sk_c1_type, type, sk_c1: $i).
% 1.57/1.03 thf(sk_c7_type, type, sk_c7: $i).
% 1.57/1.03 thf(sk_c2_type, type, sk_c2: $i).
% 1.57/1.03 thf(sk_c6_type, type, sk_c6: $i).
% 1.57/1.03 thf(sk_c5_type, type, sk_c5: $i).
% 1.57/1.03 thf(identity_type, type, identity: $i).
% 1.57/1.03 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.57/1.03 thf(sk_c8_type, type, sk_c8: $i).
% 1.57/1.03 thf(inverse_type, type, inverse: $i > $i).
% 1.57/1.03 thf(sk_c3_type, type, sk_c3: $i).
% 1.57/1.03 thf(sk_c9_type, type, sk_c9: $i).
% 1.57/1.03 thf(prove_this_49, conjecture,
% 1.57/1.03 (~( ( ( multiply @ X2 @ sk_c9 ) != ( sk_c7 ) ) |
% 1.57/1.03 ( ( inverse @ X3 ) != ( X2 ) ) |
% 1.57/1.03 ( ( multiply @ X3 @ X2 ) != ( sk_c7 ) ) |
% 1.57/1.03 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c9 ) ) |
% 1.57/1.03 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 1.57/1.03 ( ( inverse @ sk_c9 ) != ( sk_c7 ) ) |
% 1.57/1.03 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c9 ) ) |
% 1.57/1.03 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ) ) |
% 1.57/1.03 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 1.57/1.03 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 1.57/1.03 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 1.57/1.03 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 1.57/1.03 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.57/1.03 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c7 ) ) ))).
% 1.57/1.03 thf(zf_stmt_0, negated_conjecture,
% 1.57/1.03 (( ( multiply @ X2 @ sk_c9 ) != ( sk_c7 ) ) |
% 1.57/1.03 ( ( inverse @ X3 ) != ( X2 ) ) |
% 1.57/1.03 ( ( multiply @ X3 @ X2 ) != ( sk_c7 ) ) |
% 1.57/1.03 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c9 ) ) |
% 1.57/1.03 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 1.57/1.03 ( ( inverse @ sk_c9 ) != ( sk_c7 ) ) |
% 1.57/1.03 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c9 ) ) |
% 1.57/1.03 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ) ) |
% 1.57/1.03 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 1.57/1.03 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 1.57/1.03 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 1.57/1.03 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 1.57/1.03 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.57/1.03 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c7 ) )),
% 1.57/1.03 inference('cnf.neg', [status(esa)], [prove_this_49])).
% 1.57/1.03 thf(zip_derived_cl51, plain,
% 1.57/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.57/1.03 (((multiply @ X0 @ sk_c9) != (sk_c7))
% 1.57/1.03 | ((inverse @ X1) != (X0))
% 1.57/1.03 | ((multiply @ X1 @ X0) != (sk_c7))
% 1.57/1.03 | ((multiply @ X2 @ sk_c7) != (sk_c9))
% 1.57/1.03 | ((inverse @ X2) != (sk_c9))
% 1.57/1.03 | ((inverse @ sk_c9) != (sk_c7))
% 1.57/1.03 | ((multiply @ sk_c8 @ sk_c7) != (sk_c9))
% 1.57/1.03 | ((multiply @ sk_c8 @ sk_c9) != (sk_c7))
% 1.57/1.03 | ((inverse @ X3) != (sk_c9))
% 1.57/1.03 | ((multiply @ X3 @ sk_c9) != (X4))
% 1.57/1.03 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 1.57/1.03 | ((inverse @ X5) != (sk_c9))
% 1.57/1.03 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 1.57/1.03 | ((multiply @ sk_c9 @ sk_c8) != (sk_c7)))),
% 1.57/1.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.57/1.03 thf(zip_derived_cl52, plain,
% 1.57/1.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.57/1.03 (((multiply @ X0 @ sk_c9) != (multiply @ sk_c9 @ sk_c8))
% 1.57/1.03 | ((inverse @ X1) != (X0))
% 1.57/1.03 | ((multiply @ X1 @ X0) != (multiply @ sk_c9 @ sk_c8))
% 1.57/1.03 | ((multiply @ X2 @ (multiply @ sk_c9 @ sk_c8)) != (sk_c9))
% 1.57/1.03 | ((inverse @ X2) != (sk_c9))
% 1.57/1.03 | ((inverse @ sk_c9) != (sk_c7))
% 1.57/1.03 | ((multiply @ sk_c8 @ (multiply @ sk_c9 @ sk_c8)) != (sk_c9))
% 1.57/1.03 | ((multiply @ sk_c8 @ sk_c9) != (sk_c7))
% 1.57/1.03 | ((inverse @ X3) != (sk_c9))
% 1.57/1.03 | ((multiply @ X3 @ sk_c9) != (X4))
% 1.57/1.03 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 1.57/1.03 | ((inverse @ X5) != (sk_c9))
% 1.57/1.03 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 1.57/1.03 | ((multiply @ sk_c9 @ sk_c8) != (sk_c7)))),
% 1.57/1.03 inference('local_rewriting', [status(thm)], [zip_derived_cl51])).
% 1.57/1.03 thf(prove_this_47, conjecture,
% 1.57/1.03 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.57/1.03 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.57/1.03 thf(zf_stmt_1, negated_conjecture,
% 1.57/1.03 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.57/1.03 inference('cnf.neg', [status(esa)], [prove_this_47])).
% 1.57/1.03 thf(zip_derived_cl49, plain,
% 1.57/1.03 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.57/1.03 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.57/1.03 thf(prove_this_39, conjecture,
% 1.57/1.03 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.57/1.03 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 1.57/1.03 thf(zf_stmt_2, negated_conjecture,
% 1.57/1.03 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.57/1.03 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 1.57/1.03 inference('cnf.neg', [status(esa)], [prove_this_39])).
% 1.57/1.03 thf(zip_derived_cl41, plain,
% 1.57/1.03 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 1.57/1.03 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.57/1.03 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.57/1.03 thf(zip_derived_cl1, plain,
% 1.57/1.03 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.57/1.03 inference('cnf', [status(esa)], [left_inverse])).
% 1.57/1.03 thf(associativity, axiom,
% 1.57/1.03 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.57/1.03 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.57/1.03 thf(zip_derived_cl2, plain,
% 1.57/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/1.03 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.57/1.03 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.57/1.03 inference('cnf', [status(esa)], [associativity])).
% 1.57/1.03 thf(zip_derived_cl90, plain,
% 1.57/1.03 (![X0 : $i, X1 : $i]:
% 1.57/1.03 ((multiply @ identity @ X0)
% 1.57/1.03 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.57/1.03 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.57/1.03 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.57/1.03 thf(zip_derived_cl0, plain,
% 1.57/1.03 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.03 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.03 thf(zip_derived_cl120, plain,
% 1.57/1.03 (![X0 : $i, X1 : $i]:
% 1.57/1.03 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.57/1.03 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 1.57/1.03 thf(zip_derived_cl164, plain,
% 1.57/1.03 ((((sk_c9) = (multiply @ (inverse @ sk_c2) @ sk_c3))
% 1.57/1.03 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.57/1.03 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl120])).
% 1.57/1.03 thf(zip_derived_cl683, plain,
% 1.57/1.03 ((((sk_c9) = (multiply @ sk_c9 @ sk_c3))
% 1.57/1.03 | ((inverse @ sk_c5) = (sk_c6))
% 1.57/1.03 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.57/1.03 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl164])).
% 1.57/1.04 thf(zip_derived_cl691, plain,
% 1.57/1.04 ((((inverse @ sk_c5) = (sk_c6)) | ((sk_c9) = (multiply @ sk_c9 @ sk_c3)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl683])).
% 1.57/1.04 thf(prove_this_31, conjecture,
% 1.57/1.04 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.57/1.04 thf(zf_stmt_3, negated_conjecture,
% 1.57/1.04 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.57/1.04 thf(zip_derived_cl33, plain,
% 1.57/1.04 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.57/1.04 thf(zip_derived_cl747, plain,
% 1.57/1.04 ((((sk_c9) = (sk_c8))
% 1.57/1.04 | ((inverse @ sk_c5) = (sk_c6))
% 1.57/1.04 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl691, zip_derived_cl33])).
% 1.57/1.04 thf(zip_derived_cl761, plain,
% 1.57/1.04 ((((inverse @ sk_c5) = (sk_c6)) | ((sk_c9) = (sk_c8)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl747])).
% 1.57/1.04 thf(prove_this_46, conjecture,
% 1.57/1.04 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.57/1.04 thf(zf_stmt_4, negated_conjecture,
% 1.57/1.04 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_46])).
% 1.57/1.04 thf(zip_derived_cl48, plain,
% 1.57/1.04 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.57/1.04 thf(zip_derived_cl1, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.57/1.04 thf(zip_derived_cl120, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i]:
% 1.57/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 1.57/1.04 thf(zip_derived_cl135, plain,
% 1.57/1.04 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl120])).
% 1.57/1.04 thf(zip_derived_cl120, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i]:
% 1.57/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 1.57/1.04 thf(zip_derived_cl120, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i]:
% 1.57/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 1.57/1.04 thf(zip_derived_cl132, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i]:
% 1.57/1.04 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl120])).
% 1.57/1.04 thf(zip_derived_cl858, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl132])).
% 1.57/1.04 thf(zip_derived_cl135, plain,
% 1.57/1.04 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl120])).
% 1.57/1.04 thf(zip_derived_cl906, plain,
% 1.57/1.04 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl858, zip_derived_cl135])).
% 1.57/1.04 thf(zip_derived_cl931, plain,
% 1.57/1.04 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl906])).
% 1.57/1.04 thf(prove_this_38, conjecture,
% 1.57/1.04 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 1.57/1.04 thf(zf_stmt_5, negated_conjecture,
% 1.57/1.04 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_38])).
% 1.57/1.04 thf(zip_derived_cl40, plain,
% 1.57/1.04 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.57/1.04 thf(zip_derived_cl1636, plain,
% 1.57/1.04 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c3))
% 1.57/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl931, zip_derived_cl40])).
% 1.57/1.04 thf(zip_derived_cl1, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.57/1.04 thf(zip_derived_cl1657, plain,
% 1.57/1.04 ((((identity) = (sk_c3))
% 1.57/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl1636, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl1658, plain,
% 1.57/1.04 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl1657])).
% 1.57/1.04 thf(prove_this_30, conjecture,
% 1.57/1.04 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.57/1.04 thf(zf_stmt_6, negated_conjecture,
% 1.57/1.04 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.57/1.04 thf(zip_derived_cl32, plain,
% 1.57/1.04 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.57/1.04 thf(zip_derived_cl1708, plain,
% 1.57/1.04 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.57/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl1658, zip_derived_cl32])).
% 1.57/1.04 thf(zip_derived_cl858, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl132])).
% 1.57/1.04 thf(zip_derived_cl1723, plain,
% 1.57/1.04 ((((sk_c9) = (sk_c8))
% 1.57/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl1708, zip_derived_cl858])).
% 1.57/1.04 thf(zip_derived_cl1724, plain,
% 1.57/1.04 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((sk_c9) = (sk_c8)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl1723])).
% 1.57/1.04 thf(zip_derived_cl2045, plain,
% 1.57/1.04 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c7))
% 1.57/1.04 | ((sk_c9) = (sk_c8))
% 1.57/1.04 | ((sk_c9) = (sk_c8)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl761, zip_derived_cl1724])).
% 1.57/1.04 thf(zip_derived_cl906, plain,
% 1.57/1.04 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl858, zip_derived_cl135])).
% 1.57/1.04 thf(zip_derived_cl1, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.57/1.04 thf(zip_derived_cl911, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl906, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl2051, plain,
% 1.57/1.04 ((((identity) = (sk_c7)) | ((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl2045, zip_derived_cl911])).
% 1.57/1.04 thf(zip_derived_cl2052, plain,
% 1.57/1.04 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2051])).
% 1.57/1.04 thf(prove_this_43, conjecture,
% 1.57/1.04 (~( ( ( inverse @ sk_c9 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.57/1.04 thf(zf_stmt_7, negated_conjecture,
% 1.57/1.04 (( ( inverse @ sk_c9 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_43])).
% 1.57/1.04 thf(zip_derived_cl45, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.57/1.04 thf(zip_derived_cl1, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.57/1.04 thf(zip_derived_cl58, plain,
% 1.57/1.04 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl120, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i]:
% 1.57/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 1.57/1.04 thf(zip_derived_cl147, plain,
% 1.57/1.04 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl120])).
% 1.57/1.04 thf(prove_this_35, conjecture,
% 1.57/1.04 (~( ( ( inverse @ sk_c9 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 1.57/1.04 thf(zf_stmt_8, negated_conjecture,
% 1.57/1.04 (( ( inverse @ sk_c9 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_35])).
% 1.57/1.04 thf(zip_derived_cl37, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.57/1.04 thf(zip_derived_cl313, plain,
% 1.57/1.04 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.57/1.04 = (sk_c3))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl37])).
% 1.57/1.04 thf(zip_derived_cl2, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/1.04 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.57/1.04 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.57/1.04 inference('cnf', [status(esa)], [associativity])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl1, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.57/1.04 thf(zip_derived_cl330, plain,
% 1.57/1.04 ((((identity) = (sk_c3))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7)))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl313, zip_derived_cl2, zip_derived_cl0,
% 1.57/1.04 zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl331, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl330])).
% 1.57/1.04 thf(prove_this_27, conjecture,
% 1.57/1.04 (~( ( ( inverse @ sk_c9 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.57/1.04 thf(zf_stmt_9, negated_conjecture,
% 1.57/1.04 (( ( inverse @ sk_c9 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.57/1.04 thf(zip_derived_cl29, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (sk_c7)) | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.57/1.04 thf(zip_derived_cl338, plain,
% 1.57/1.04 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl331, zip_derived_cl29])).
% 1.57/1.04 thf(zip_derived_cl344, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl338])).
% 1.57/1.04 thf(zip_derived_cl858, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl132])).
% 1.57/1.04 thf(zip_derived_cl892, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (sk_c7)) | ((sk_c9) = (sk_c8)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl344, zip_derived_cl858])).
% 1.57/1.04 thf(zip_derived_cl2062, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (identity))
% 1.57/1.04 | ((sk_c9) = (sk_c8))
% 1.57/1.04 | ((sk_c9) = (sk_c8)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl2052, zip_derived_cl892])).
% 1.57/1.04 thf(zip_derived_cl2071, plain,
% 1.57/1.04 ((((sk_c9) = (sk_c8)) | ((inverse @ sk_c9) = (identity)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2062])).
% 1.57/1.04 thf(prove_this_23, conjecture,
% 1.57/1.04 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.57/1.04 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.57/1.04 thf(zf_stmt_10, negated_conjecture,
% 1.57/1.04 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 1.57/1.04 thf(zip_derived_cl25, plain,
% 1.57/1.04 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.57/1.04 thf(zip_derived_cl1, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.57/1.04 thf(zip_derived_cl57, plain,
% 1.57/1.04 ((((multiply @ sk_c9 @ sk_c1) = (identity))
% 1.57/1.04 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl120, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i]:
% 1.57/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 1.57/1.04 thf(zip_derived_cl139, plain,
% 1.57/1.04 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.57/1.04 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl120])).
% 1.57/1.04 thf(prove_this_15, conjecture,
% 1.57/1.04 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.57/1.04 thf(zf_stmt_11, negated_conjecture,
% 1.57/1.04 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.57/1.04 thf(zip_derived_cl17, plain,
% 1.57/1.04 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c8)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.57/1.04 thf(zip_derived_cl221, plain,
% 1.57/1.04 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.57/1.04 = (sk_c8))
% 1.57/1.04 | ((inverse @ sk_c5) = (sk_c6))
% 1.57/1.04 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl17])).
% 1.57/1.04 thf(zip_derived_cl2, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/1.04 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.57/1.04 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.57/1.04 inference('cnf', [status(esa)], [associativity])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl1, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.57/1.04 thf(zip_derived_cl238, plain,
% 1.57/1.04 ((((identity) = (sk_c8))
% 1.57/1.04 | ((inverse @ sk_c5) = (sk_c6))
% 1.57/1.04 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl221, zip_derived_cl2, zip_derived_cl0,
% 1.57/1.04 zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl239, plain,
% 1.57/1.04 ((((inverse @ sk_c5) = (sk_c6)) | ((identity) = (sk_c8)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl238])).
% 1.57/1.04 thf(prove_this_22, conjecture,
% 1.57/1.04 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.57/1.04 thf(zf_stmt_12, negated_conjecture,
% 1.57/1.04 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.57/1.04 thf(zip_derived_cl24, plain,
% 1.57/1.04 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.57/1.04 thf(zip_derived_cl906, plain,
% 1.57/1.04 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl858, zip_derived_cl135])).
% 1.57/1.04 thf(zip_derived_cl923, plain,
% 1.57/1.04 ((((sk_c1) = (inverse @ sk_c9)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl906])).
% 1.57/1.04 thf(prove_this_14, conjecture,
% 1.57/1.04 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.57/1.04 thf(zf_stmt_13, negated_conjecture,
% 1.57/1.04 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.57/1.04 thf(zip_derived_cl16, plain,
% 1.57/1.04 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c1 @ sk_c9) = (sk_c8)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.57/1.04 thf(zip_derived_cl1458, plain,
% 1.57/1.04 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.57/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl923, zip_derived_cl16])).
% 1.57/1.04 thf(zip_derived_cl1, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.57/1.04 thf(zip_derived_cl1481, plain,
% 1.57/1.04 ((((identity) = (sk_c8))
% 1.57/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl1458, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl1482, plain,
% 1.57/1.04 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl1481])).
% 1.57/1.04 thf(zip_derived_cl1921, plain,
% 1.57/1.04 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c7))
% 1.57/1.04 | ((identity) = (sk_c8))
% 1.57/1.04 | ((identity) = (sk_c8)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl1482])).
% 1.57/1.04 thf(zip_derived_cl911, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl906, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl1926, plain,
% 1.57/1.04 ((((identity) = (sk_c7))
% 1.57/1.04 | ((identity) = (sk_c8))
% 1.57/1.04 | ((identity) = (sk_c8)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl1921, zip_derived_cl911])).
% 1.57/1.04 thf(zip_derived_cl1927, plain,
% 1.57/1.04 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl1926])).
% 1.57/1.04 thf(prove_this_19, conjecture,
% 1.57/1.04 (~( ( ( inverse @ sk_c9 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.57/1.04 thf(zf_stmt_14, negated_conjecture,
% 1.57/1.04 (( ( inverse @ sk_c9 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.57/1.04 thf(zip_derived_cl21, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.57/1.04 thf(zip_derived_cl1, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.57/1.04 thf(zip_derived_cl56, plain,
% 1.57/1.04 ((((multiply @ sk_c9 @ sk_c1) = (identity))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl120, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i]:
% 1.57/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 1.57/1.04 thf(zip_derived_cl138, plain,
% 1.57/1.04 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl120])).
% 1.57/1.04 thf(prove_this_11, conjecture,
% 1.57/1.04 (~( ( ( inverse @ sk_c9 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.57/1.04 thf(zf_stmt_15, negated_conjecture,
% 1.57/1.04 (( ( inverse @ sk_c9 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.57/1.04 thf(zip_derived_cl13, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c8)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.57/1.04 thf(zip_derived_cl187, plain,
% 1.57/1.04 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.57/1.04 = (sk_c8))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl138, zip_derived_cl13])).
% 1.57/1.04 thf(zip_derived_cl2, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/1.04 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.57/1.04 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.57/1.04 inference('cnf', [status(esa)], [associativity])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl1, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.57/1.04 thf(zip_derived_cl204, plain,
% 1.57/1.04 ((((identity) = (sk_c8))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7)))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl187, zip_derived_cl2, zip_derived_cl0,
% 1.57/1.04 zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl205, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl204])).
% 1.57/1.04 thf(zip_derived_cl1937, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (identity))
% 1.57/1.04 | ((identity) = (sk_c8))
% 1.57/1.04 | ((identity) = (sk_c8)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl1927, zip_derived_cl205])).
% 1.57/1.04 thf(zip_derived_cl1946, plain,
% 1.57/1.04 ((((identity) = (sk_c8)) | ((inverse @ sk_c9) = (identity)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl1937])).
% 1.57/1.04 thf(zip_derived_cl2154, plain,
% 1.57/1.04 ((((identity) = (sk_c9))
% 1.57/1.04 | ((inverse @ sk_c9) = (identity))
% 1.57/1.04 | ((inverse @ sk_c9) = (identity)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl2071, zip_derived_cl1946])).
% 1.57/1.04 thf(zip_derived_cl2159, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (identity)) | ((identity) = (sk_c9)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2154])).
% 1.57/1.04 thf(zip_derived_cl906, plain,
% 1.57/1.04 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl858, zip_derived_cl135])).
% 1.57/1.04 thf(zip_derived_cl2183, plain,
% 1.57/1.04 ((((sk_c9) = (inverse @ identity)) | ((identity) = (sk_c9)))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl2159, zip_derived_cl906])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl120, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i]:
% 1.57/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 1.57/1.04 thf(zip_derived_cl134, plain,
% 1.57/1.04 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl120])).
% 1.57/1.04 thf(zip_derived_cl120, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i]:
% 1.57/1.04 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl0])).
% 1.57/1.04 thf(zip_derived_cl184, plain,
% 1.57/1.04 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl120])).
% 1.57/1.04 thf(zip_derived_cl1, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_inverse])).
% 1.57/1.04 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl2187, plain,
% 1.57/1.04 ((((sk_c9) = (identity)) | ((identity) = (sk_c9)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl2183, zip_derived_cl784])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl858, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl132])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl858, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl132])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl858, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl132])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl858, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl132])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl2240, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.57/1.04 (((X0) != (sk_c8))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((multiply @ X1 @ X0) != (sk_c8))
% 1.57/1.04 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.57/1.04 | ((inverse @ X2) != (identity))
% 1.57/1.04 | ((identity) != (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 1.57/1.04 | ((sk_c8) != (sk_c7))
% 1.57/1.04 | ((inverse @ X3) != (identity))
% 1.57/1.04 | ((X3) != (X4))
% 1.57/1.04 | ((X4) != (sk_c8))
% 1.57/1.04 | ((inverse @ X5) != (identity))
% 1.57/1.04 | ((X5) != (sk_c8))
% 1.57/1.04 | ((sk_c8) != (sk_c7)))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl52, zip_derived_cl2188, zip_derived_cl858,
% 1.57/1.04 zip_derived_cl2188, zip_derived_cl0, zip_derived_cl2188,
% 1.57/1.04 zip_derived_cl0, zip_derived_cl2188, zip_derived_cl0,
% 1.57/1.04 zip_derived_cl2188, zip_derived_cl2188, zip_derived_cl2188,
% 1.57/1.04 zip_derived_cl784, zip_derived_cl2188, zip_derived_cl0,
% 1.57/1.04 zip_derived_cl2188, zip_derived_cl2188, zip_derived_cl858,
% 1.57/1.04 zip_derived_cl2188, zip_derived_cl2188, zip_derived_cl858,
% 1.57/1.04 zip_derived_cl2188, zip_derived_cl0, zip_derived_cl2188,
% 1.57/1.04 zip_derived_cl2188, zip_derived_cl858, zip_derived_cl2188,
% 1.57/1.04 zip_derived_cl0])).
% 1.57/1.04 thf(zip_derived_cl2241, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.57/1.04 (((X5) != (sk_c8))
% 1.57/1.04 | ((inverse @ X5) != (identity))
% 1.57/1.04 | ((X4) != (sk_c8))
% 1.57/1.04 | ((X3) != (X4))
% 1.57/1.04 | ((inverse @ X3) != (identity))
% 1.57/1.04 | ((sk_c8) != (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 1.57/1.04 | ((identity) != (sk_c7))
% 1.57/1.04 | ((inverse @ X2) != (identity))
% 1.57/1.04 | ((multiply @ X2 @ sk_c8) != (identity))
% 1.57/1.04 | ((multiply @ X1 @ X0) != (sk_c8))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((X0) != (sk_c8)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2240])).
% 1.57/1.04 thf(prove_this_1, conjecture,
% 1.57/1.04 (~( ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.57/1.04 thf(zf_stmt_16, negated_conjecture,
% 1.57/1.04 (( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.57/1.04 thf(zip_derived_cl3, plain,
% 1.57/1.04 ((((multiply @ sk_c8 @ sk_c9) = (sk_c7))
% 1.57/1.04 | ((multiply @ sk_c9 @ sk_c8) = (sk_c7)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl858, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl132])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl2191, plain, ((((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl3, zip_derived_cl2188, zip_derived_cl858,
% 1.57/1.04 zip_derived_cl2188, zip_derived_cl0])).
% 1.57/1.04 thf(zip_derived_cl2192, plain, (((sk_c8) = (sk_c7))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2191])).
% 1.57/1.04 thf(prove_this_3, conjecture,
% 1.57/1.04 (~( ( ( inverse @ sk_c9 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.57/1.04 thf(zf_stmt_17, negated_conjecture,
% 1.57/1.04 (( ( inverse @ sk_c9 ) = ( sk_c7 ) ) |
% 1.57/1.04 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) )),
% 1.57/1.04 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.57/1.04 thf(zip_derived_cl5, plain,
% 1.57/1.04 ((((inverse @ sk_c9) = (sk_c7)) | ((multiply @ sk_c9 @ sk_c8) = (sk_c7)))),
% 1.57/1.04 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.57/1.04 thf(zip_derived_cl54, plain,
% 1.57/1.04 ((((multiply @ sk_c9 @ sk_c8) != (inverse @ sk_c9))
% 1.57/1.04 | ((inverse @ sk_c9) = (sk_c7)))),
% 1.57/1.04 inference('eq_fact', [status(thm)], [zip_derived_cl5])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl2188, plain, (((sk_c9) = (identity))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2187])).
% 1.57/1.04 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl2242, plain,
% 1.57/1.04 ((((sk_c8) != (identity)) | ((identity) = (sk_c7)))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl54, zip_derived_cl2188, zip_derived_cl0,
% 1.57/1.04 zip_derived_cl2188, zip_derived_cl784, zip_derived_cl2188,
% 1.57/1.04 zip_derived_cl784])).
% 1.57/1.04 thf(zip_derived_cl1927, plain,
% 1.57/1.04 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl1926])).
% 1.57/1.04 thf(zip_derived_cl2324, plain, (((identity) = (sk_c7))),
% 1.57/1.04 inference('clc', [status(thm)], [zip_derived_cl2242, zip_derived_cl1927])).
% 1.57/1.04 thf(zip_derived_cl2329, plain, (((sk_c8) = (identity))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl2192, zip_derived_cl2324])).
% 1.57/1.04 thf(zip_derived_cl2329, plain, (((sk_c8) = (identity))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl2192, zip_derived_cl2324])).
% 1.57/1.04 thf(zip_derived_cl2329, plain, (((sk_c8) = (identity))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl2192, zip_derived_cl2324])).
% 1.57/1.04 thf(zip_derived_cl2324, plain, (((identity) = (sk_c7))),
% 1.57/1.04 inference('clc', [status(thm)], [zip_derived_cl2242, zip_derived_cl1927])).
% 1.57/1.04 thf(zip_derived_cl2329, plain, (((sk_c8) = (identity))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl2192, zip_derived_cl2324])).
% 1.57/1.04 thf(zip_derived_cl2329, plain, (((sk_c8) = (identity))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl2192, zip_derived_cl2324])).
% 1.57/1.04 thf(zip_derived_cl0, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.57/1.04 inference('cnf', [status(esa)], [left_identity])).
% 1.57/1.04 thf(zip_derived_cl2324, plain, (((identity) = (sk_c7))),
% 1.57/1.04 inference('clc', [status(thm)], [zip_derived_cl2242, zip_derived_cl1927])).
% 1.57/1.04 thf(zip_derived_cl2329, plain, (((sk_c8) = (identity))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl2192, zip_derived_cl2324])).
% 1.57/1.04 thf(zip_derived_cl858, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl132])).
% 1.57/1.04 thf(zip_derived_cl2329, plain, (((sk_c8) = (identity))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl2192, zip_derived_cl2324])).
% 1.57/1.04 thf(zip_derived_cl2329, plain, (((sk_c8) = (identity))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl2192, zip_derived_cl2324])).
% 1.57/1.04 thf(zip_derived_cl2351, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.57/1.04 (((X5) != (identity))
% 1.57/1.04 | ((inverse @ X5) != (identity))
% 1.57/1.04 | ((X4) != (identity))
% 1.57/1.04 | ((X3) != (X4))
% 1.57/1.04 | ((inverse @ X3) != (identity))
% 1.57/1.04 | ((identity) != (identity))
% 1.57/1.04 | ((identity) != (identity))
% 1.57/1.04 | ((identity) != (identity))
% 1.57/1.04 | ((inverse @ X2) != (identity))
% 1.57/1.04 | ((X2) != (identity))
% 1.57/1.04 | ((multiply @ X1 @ X0) != (identity))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((X0) != (identity)))),
% 1.57/1.04 inference('demod', [status(thm)],
% 1.57/1.04 [zip_derived_cl2241, zip_derived_cl2329, zip_derived_cl2329,
% 1.57/1.04 zip_derived_cl2329, zip_derived_cl2324, zip_derived_cl2329,
% 1.57/1.04 zip_derived_cl2329, zip_derived_cl0, zip_derived_cl2324,
% 1.57/1.04 zip_derived_cl2329, zip_derived_cl858, zip_derived_cl2329,
% 1.57/1.04 zip_derived_cl2329])).
% 1.57/1.04 thf(zip_derived_cl2352, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.57/1.04 (((X0) != (identity))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((multiply @ X1 @ X0) != (identity))
% 1.57/1.04 | ((X2) != (identity))
% 1.57/1.04 | ((inverse @ X2) != (identity))
% 1.57/1.04 | ((inverse @ X3) != (identity))
% 1.57/1.04 | ((X3) != (X4))
% 1.57/1.04 | ((X4) != (identity))
% 1.57/1.04 | ((inverse @ X5) != (identity))
% 1.57/1.04 | ((X5) != (identity)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2351])).
% 1.57/1.04 thf(zip_derived_cl2353, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.57/1.04 (((X0) != (identity))
% 1.57/1.04 | ((inverse @ X0) != (identity))
% 1.57/1.04 | ((X1) != (identity))
% 1.57/1.04 | ((inverse @ X1) != (identity))
% 1.57/1.04 | ((inverse @ X2) != (identity))
% 1.57/1.04 | ((X2) != (identity))
% 1.57/1.04 | ((multiply @ X4 @ X3) != (identity))
% 1.57/1.04 | ((inverse @ X4) != (X3))
% 1.57/1.04 | ((X3) != (identity)))),
% 1.57/1.04 inference('eq_res', [status(thm)], [zip_derived_cl2352])).
% 1.57/1.04 thf(zip_derived_cl2354, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.57/1.04 (((X0) != (identity))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((multiply @ X1 @ X0) != (identity))
% 1.57/1.04 | ((X2) != (identity))
% 1.57/1.04 | ((inverse @ X2) != (identity))
% 1.57/1.04 | ((inverse @ X3) != (identity))
% 1.57/1.04 | ((X3) != (identity))
% 1.57/1.04 | ((inverse @ identity) != (identity)))),
% 1.57/1.04 inference('eq_res', [status(thm)], [zip_derived_cl2353])).
% 1.57/1.04 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl2355, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.57/1.04 (((X0) != (identity))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((multiply @ X1 @ X0) != (identity))
% 1.57/1.04 | ((X2) != (identity))
% 1.57/1.04 | ((inverse @ X2) != (identity))
% 1.57/1.04 | ((inverse @ X3) != (identity))
% 1.57/1.04 | ((X3) != (identity))
% 1.57/1.04 | ((identity) != (identity)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl2354, zip_derived_cl784])).
% 1.57/1.04 thf(zip_derived_cl2356, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.57/1.04 (((X3) != (identity))
% 1.57/1.04 | ((inverse @ X3) != (identity))
% 1.57/1.04 | ((inverse @ X2) != (identity))
% 1.57/1.04 | ((X2) != (identity))
% 1.57/1.04 | ((multiply @ X1 @ X0) != (identity))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((X0) != (identity)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2355])).
% 1.57/1.04 thf(zip_derived_cl2357, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/1.04 (((X0) != (identity))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((multiply @ X1 @ X0) != (identity))
% 1.57/1.04 | ((X2) != (identity))
% 1.57/1.04 | ((inverse @ X2) != (identity))
% 1.57/1.04 | ((inverse @ identity) != (identity)))),
% 1.57/1.04 inference('eq_res', [status(thm)], [zip_derived_cl2356])).
% 1.57/1.04 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl2358, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/1.04 (((X0) != (identity))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((multiply @ X1 @ X0) != (identity))
% 1.57/1.04 | ((X2) != (identity))
% 1.57/1.04 | ((inverse @ X2) != (identity))
% 1.57/1.04 | ((identity) != (identity)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl2357, zip_derived_cl784])).
% 1.57/1.04 thf(zip_derived_cl2359, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.57/1.04 (((inverse @ X2) != (identity))
% 1.57/1.04 | ((X2) != (identity))
% 1.57/1.04 | ((multiply @ X1 @ X0) != (identity))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((X0) != (identity)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2358])).
% 1.57/1.04 thf(zip_derived_cl2360, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i]:
% 1.57/1.04 (((X0) != (identity))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((multiply @ X1 @ X0) != (identity))
% 1.57/1.04 | ((inverse @ identity) != (identity)))),
% 1.57/1.04 inference('eq_res', [status(thm)], [zip_derived_cl2359])).
% 1.57/1.04 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl2361, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i]:
% 1.57/1.04 (((X0) != (identity))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((multiply @ X1 @ X0) != (identity))
% 1.57/1.04 | ((identity) != (identity)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl2360, zip_derived_cl784])).
% 1.57/1.04 thf(zip_derived_cl2362, plain,
% 1.57/1.04 (![X0 : $i, X1 : $i]:
% 1.57/1.04 (((multiply @ X1 @ X0) != (identity))
% 1.57/1.04 | ((inverse @ X1) != (X0))
% 1.57/1.04 | ((X0) != (identity)))),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2361])).
% 1.57/1.04 thf(zip_derived_cl2363, plain,
% 1.57/1.04 (![X0 : $i]:
% 1.57/1.04 (((inverse @ X0) != (identity))
% 1.57/1.04 | ((multiply @ X0 @ identity) != (identity)))),
% 1.57/1.04 inference('eq_res', [status(thm)], [zip_derived_cl2362])).
% 1.57/1.04 thf(zip_derived_cl858, plain,
% 1.57/1.04 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl132])).
% 1.57/1.04 thf(zip_derived_cl2364, plain,
% 1.57/1.04 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl2363, zip_derived_cl858])).
% 1.57/1.04 thf(zip_derived_cl2410, plain, (((inverse @ identity) != (identity))),
% 1.57/1.04 inference('eq_res', [status(thm)], [zip_derived_cl2364])).
% 1.57/1.04 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.57/1.04 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl1])).
% 1.57/1.04 thf(zip_derived_cl2411, plain, (((identity) != (identity))),
% 1.57/1.04 inference('demod', [status(thm)], [zip_derived_cl2410, zip_derived_cl784])).
% 1.57/1.04 thf(zip_derived_cl2412, plain, ($false),
% 1.57/1.04 inference('simplify', [status(thm)], [zip_derived_cl2411])).
% 1.57/1.04
% 1.57/1.04 % SZS output end Refutation
% 1.57/1.04
% 1.57/1.04
% 1.57/1.04 % Terminating...
% 1.57/1.08 % Runner terminated.
% 1.57/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------