TSTP Solution File: GRP221-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP221-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FOGvIf9CMe true
% Computer : n002.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 01:50:47 EDT 2023
% Result : Unsatisfiable 0.73s 1.19s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP221-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FOGvIf9CMe true
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 00:12:05 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.17/0.61 % Total configuration time : 435
% 0.17/0.61 % Estimated wc time : 1092
% 0.17/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.73/1.19 % Solved by fo/fo7.sh.
% 0.73/1.19 % done 794 iterations in 0.457s
% 0.73/1.19 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.73/1.19 % SZS output start Refutation
% 0.73/1.19 thf(sk_c2_type, type, sk_c2: $i).
% 0.73/1.19 thf(sk_c9_type, type, sk_c9: $i).
% 0.73/1.19 thf(sk_c5_type, type, sk_c5: $i).
% 0.73/1.19 thf(sk_c7_type, type, sk_c7: $i).
% 0.73/1.19 thf(sk_c8_type, type, sk_c8: $i).
% 0.73/1.19 thf(identity_type, type, identity: $i).
% 0.73/1.19 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.73/1.19 thf(sk_c10_type, type, sk_c10: $i).
% 0.73/1.19 thf(inverse_type, type, inverse: $i > $i).
% 0.73/1.19 thf(sk_c6_type, type, sk_c6: $i).
% 0.73/1.19 thf(sk_c4_type, type, sk_c4: $i).
% 0.73/1.19 thf(sk_c3_type, type, sk_c3: $i).
% 0.73/1.19 thf(sk_c1_type, type, sk_c1: $i).
% 0.73/1.19 thf(prove_this_49, conjecture,
% 0.73/1.19 (~( ( ( inverse @ X3 ) != ( sk_c10 ) ) |
% 0.73/1.19 ( ( multiply @ X3 @ sk_c10 ) != ( X2 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c10 @ X2 ) != ( sk_c9 ) ) |
% 0.73/1.19 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c10 ) != ( sk_c9 ) ) |
% 0.73/1.19 ( ( inverse @ X8 ) != ( sk_c10 ) ) |
% 0.73/1.19 ( ( multiply @ X8 @ sk_c10 ) != ( X7 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c10 @ X7 ) != ( sk_c9 ) ) |
% 0.73/1.19 ( ( multiply @ X6 @ sk_c10 ) != ( sk_c9 ) ) |
% 0.73/1.19 ( ( inverse @ X5 ) != ( X6 ) ) |
% 0.73/1.19 ( ( multiply @ X5 @ X6 ) != ( sk_c9 ) ) |
% 0.73/1.19 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ X4 ) != ( sk_c10 ) ) ))).
% 0.73/1.19 thf(zf_stmt_0, negated_conjecture,
% 0.73/1.19 (( ( inverse @ X3 ) != ( sk_c10 ) ) |
% 0.73/1.19 ( ( multiply @ X3 @ sk_c10 ) != ( X2 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c10 @ X2 ) != ( sk_c9 ) ) |
% 0.73/1.19 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c10 ) != ( sk_c9 ) ) |
% 0.73/1.19 ( ( inverse @ X8 ) != ( sk_c10 ) ) |
% 0.73/1.19 ( ( multiply @ X8 @ sk_c10 ) != ( X7 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c10 @ X7 ) != ( sk_c9 ) ) |
% 0.73/1.19 ( ( multiply @ X6 @ sk_c10 ) != ( sk_c9 ) ) |
% 0.73/1.19 ( ( inverse @ X5 ) != ( X6 ) ) |
% 0.73/1.19 ( ( multiply @ X5 @ X6 ) != ( sk_c9 ) ) |
% 0.73/1.19 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ X4 ) != ( sk_c10 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_49])).
% 0.73/1.19 thf(zip_derived_cl51, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.73/1.19 (((inverse @ X0) != (sk_c10))
% 0.73/1.19 | ((multiply @ X0 @ sk_c10) != (X1))
% 0.73/1.19 | ((multiply @ sk_c10 @ X1) != (sk_c9))
% 0.73/1.19 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 0.73/1.19 | ((inverse @ X2) != (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c10) != (sk_c9))
% 0.73/1.19 | ((inverse @ X3) != (sk_c10))
% 0.73/1.19 | ((multiply @ X3 @ sk_c10) != (X4))
% 0.73/1.19 | ((multiply @ sk_c10 @ X4) != (sk_c9))
% 0.73/1.19 | ((multiply @ X5 @ sk_c10) != (sk_c9))
% 0.73/1.19 | ((inverse @ X6) != (X5))
% 0.73/1.19 | ((multiply @ X6 @ X5) != (sk_c9))
% 0.73/1.19 | ((multiply @ X7 @ sk_c9) != (sk_c10))
% 0.73/1.19 | ((inverse @ X7) != (sk_c10)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.73/1.19 thf(zip_derived_cl52, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.73/1.19 (((inverse @ X0) != (sk_c10))
% 0.73/1.19 | ((multiply @ X0 @ sk_c10) != (X1))
% 0.73/1.19 | ((multiply @ sk_c10 @ X1) != (inverse @ sk_c10))
% 0.73/1.19 | ((multiply @ X2 @ (inverse @ sk_c10)) != (sk_c10))
% 0.73/1.19 | ((inverse @ X2) != (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c10) != (sk_c9))
% 0.73/1.19 | ((inverse @ X3) != (sk_c10))
% 0.73/1.19 | ((multiply @ X3 @ sk_c10) != (X4))
% 0.73/1.19 | ((multiply @ sk_c10 @ X4) != (inverse @ sk_c10))
% 0.73/1.19 | ((multiply @ X5 @ sk_c10) != (inverse @ sk_c10))
% 0.73/1.19 | ((inverse @ X6) != (X5))
% 0.73/1.19 | ((multiply @ X6 @ X5) != (inverse @ sk_c10))
% 0.73/1.19 | ((multiply @ X7 @ (inverse @ sk_c10)) != (sk_c10))
% 0.73/1.19 | ((inverse @ X7) != (sk_c10)))),
% 0.73/1.19 inference('local_rewriting', [status(thm)], [zip_derived_cl51])).
% 0.73/1.19 thf(prove_this_48, conjecture,
% 0.73/1.19 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) ))).
% 0.73/1.19 thf(zf_stmt_1, negated_conjecture,
% 0.73/1.19 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c4 ) = ( sk_c10 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_48])).
% 0.73/1.19 thf(zip_derived_cl50, plain,
% 0.73/1.19 ((((inverse @ sk_c7) = (sk_c10)) | ((inverse @ sk_c4) = (sk_c10)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.73/1.19 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.73/1.19 thf(zip_derived_cl1, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_inverse])).
% 0.73/1.19 thf(zip_derived_cl59, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ sk_c4) = (identity))
% 0.73/1.19 | ((inverse @ sk_c7) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl1, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_inverse])).
% 0.73/1.19 thf(associativity, axiom,
% 0.73/1.19 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.73/1.19 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.73/1.19 thf(zip_derived_cl2, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.73/1.19 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.73/1.19 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.73/1.19 inference('cnf', [status(esa)], [associativity])).
% 0.73/1.19 thf(zip_derived_cl156, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 ((multiply @ identity @ X0)
% 0.73/1.19 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.73/1.19 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.73/1.19 thf(zip_derived_cl0, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_identity])).
% 0.73/1.19 thf(zip_derived_cl191, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 0.73/1.19 thf(zip_derived_cl217, plain,
% 0.73/1.19 ((((sk_c4) = (multiply @ (inverse @ sk_c10) @ identity))
% 0.73/1.19 | ((inverse @ sk_c7) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl191])).
% 0.73/1.19 thf(prove_this_42, conjecture,
% 0.73/1.19 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c5 ) ) ))).
% 0.73/1.19 thf(zf_stmt_2, negated_conjecture,
% 0.73/1.19 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c5 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_42])).
% 0.73/1.19 thf(zip_derived_cl44, plain,
% 0.73/1.19 ((((inverse @ sk_c7) = (sk_c10))
% 0.73/1.19 | ((multiply @ sk_c4 @ sk_c10) = (sk_c5)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.73/1.19 thf(zip_derived_cl475, plain,
% 0.73/1.19 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 0.73/1.19 = (sk_c5))
% 0.73/1.19 | ((inverse @ sk_c7) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c7) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl44])).
% 0.73/1.19 thf(zip_derived_cl2, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.73/1.19 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.73/1.19 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.73/1.19 inference('cnf', [status(esa)], [associativity])).
% 0.73/1.19 thf(zip_derived_cl0, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_identity])).
% 0.73/1.19 thf(zip_derived_cl1, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_inverse])).
% 0.73/1.19 thf(zip_derived_cl490, plain,
% 0.73/1.19 ((((identity) = (sk_c5))
% 0.73/1.19 | ((inverse @ sk_c7) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c7) = (sk_c10)))),
% 0.73/1.19 inference('demod', [status(thm)],
% 0.73/1.19 [zip_derived_cl475, zip_derived_cl2, zip_derived_cl0,
% 0.73/1.19 zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl491, plain,
% 0.73/1.19 ((((inverse @ sk_c7) = (sk_c10)) | ((identity) = (sk_c5)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl490])).
% 0.73/1.19 thf(prove_this_36, conjecture,
% 0.73/1.19 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c10 @ sk_c5 ) = ( sk_c9 ) ) ))).
% 0.73/1.19 thf(zf_stmt_3, negated_conjecture,
% 0.73/1.19 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c10 @ sk_c5 ) = ( sk_c9 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 0.73/1.19 thf(zip_derived_cl38, plain,
% 0.73/1.19 ((((inverse @ sk_c7) = (sk_c10))
% 0.73/1.19 | ((multiply @ sk_c10 @ sk_c5) = (sk_c9)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.73/1.19 thf(zip_derived_cl499, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 0.73/1.19 | ((inverse @ sk_c7) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c7) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl491, zip_derived_cl38])).
% 0.73/1.19 thf(zip_derived_cl503, plain,
% 0.73/1.19 ((((inverse @ sk_c7) = (sk_c10))
% 0.73/1.19 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl499])).
% 0.73/1.19 thf(zip_derived_cl1, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_inverse])).
% 0.73/1.19 thf(zip_derived_cl191, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 0.73/1.19 thf(zip_derived_cl202, plain,
% 0.73/1.19 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl191])).
% 0.73/1.19 thf(zip_derived_cl582, plain,
% 0.73/1.19 ((((sk_c7) = (multiply @ (inverse @ sk_c10) @ identity))
% 0.73/1.19 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl503, zip_derived_cl202])).
% 0.73/1.19 thf(zip_derived_cl202, plain,
% 0.73/1.19 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl191])).
% 0.73/1.19 thf(zip_derived_cl191, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 0.73/1.19 thf(zip_derived_cl191, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 0.73/1.19 thf(zip_derived_cl199, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl191, zip_derived_cl191])).
% 0.73/1.19 thf(zip_derived_cl951, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl199])).
% 0.73/1.19 thf(zip_derived_cl951, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl199])).
% 0.73/1.19 thf(zip_derived_cl984, plain,
% 0.73/1.19 ((((sk_c7) = (inverse @ sk_c10)) | ((sk_c10) = (sk_c9)))),
% 0.73/1.19 inference('demod', [status(thm)],
% 0.73/1.19 [zip_derived_cl582, zip_derived_cl951, zip_derived_cl951])).
% 0.73/1.19 thf(prove_this_47, conjecture,
% 0.73/1.19 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) ))).
% 0.73/1.19 thf(zf_stmt_4, negated_conjecture,
% 0.73/1.19 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c4 ) = ( sk_c10 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_47])).
% 0.73/1.19 thf(zip_derived_cl49, plain,
% 0.73/1.19 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 0.73/1.19 | ((inverse @ sk_c4) = (sk_c10)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.73/1.19 thf(zip_derived_cl951, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl199])).
% 0.73/1.19 thf(zip_derived_cl202, plain,
% 0.73/1.19 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl191])).
% 0.73/1.19 thf(zip_derived_cl994, plain,
% 0.73/1.19 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl951, zip_derived_cl202])).
% 0.73/1.19 thf(zip_derived_cl1020, plain,
% 0.73/1.19 ((((sk_c4) = (inverse @ sk_c10))
% 0.73/1.19 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl994])).
% 0.73/1.19 thf(prove_this_41, conjecture,
% 0.73/1.19 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c5 ) ) ))).
% 0.73/1.19 thf(zf_stmt_5, negated_conjecture,
% 0.73/1.19 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c5 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_41])).
% 0.73/1.19 thf(zip_derived_cl43, plain,
% 0.73/1.19 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 0.73/1.19 | ((multiply @ sk_c4 @ sk_c10) = (sk_c5)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.73/1.19 thf(zip_derived_cl1407, plain,
% 0.73/1.19 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c5))
% 0.73/1.19 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 0.73/1.19 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl1020, zip_derived_cl43])).
% 0.73/1.19 thf(zip_derived_cl1, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_inverse])).
% 0.73/1.19 thf(zip_derived_cl1423, plain,
% 0.73/1.19 ((((identity) = (sk_c5))
% 0.73/1.19 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 0.73/1.19 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl1407, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl1424, plain,
% 0.73/1.19 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8)) | ((identity) = (sk_c5)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl1423])).
% 0.73/1.19 thf(prove_this_35, conjecture,
% 0.73/1.19 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c10 @ sk_c5 ) = ( sk_c9 ) ) ))).
% 0.73/1.19 thf(zf_stmt_6, negated_conjecture,
% 0.73/1.19 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c10 @ sk_c5 ) = ( sk_c9 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_35])).
% 0.73/1.19 thf(zip_derived_cl37, plain,
% 0.73/1.19 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 0.73/1.19 | ((multiply @ sk_c10 @ sk_c5) = (sk_c9)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.73/1.19 thf(zip_derived_cl1442, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 0.73/1.19 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 0.73/1.19 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl1424, zip_derived_cl37])).
% 0.73/1.19 thf(zip_derived_cl951, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl199])).
% 0.73/1.19 thf(zip_derived_cl1454, plain,
% 0.73/1.19 ((((sk_c10) = (sk_c9))
% 0.73/1.19 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 0.73/1.19 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl1442, zip_derived_cl951])).
% 0.73/1.19 thf(zip_derived_cl1455, plain,
% 0.73/1.19 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8)) | ((sk_c10) = (sk_c9)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl1454])).
% 0.73/1.19 thf(zip_derived_cl1604, plain,
% 0.73/1.19 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c8))
% 0.73/1.19 | ((sk_c10) = (sk_c9))
% 0.73/1.19 | ((sk_c10) = (sk_c9)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl984, zip_derived_cl1455])).
% 0.73/1.19 thf(zip_derived_cl1, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_inverse])).
% 0.73/1.19 thf(zip_derived_cl1607, plain,
% 0.73/1.19 ((((identity) = (sk_c8)) | ((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl1604, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl1608, plain,
% 0.73/1.19 ((((sk_c10) = (sk_c9)) | ((identity) = (sk_c8)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl1607])).
% 0.73/1.19 thf(prove_this_46, conjecture,
% 0.73/1.19 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) ))).
% 0.73/1.19 thf(zf_stmt_7, negated_conjecture,
% 0.73/1.19 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c4 ) = ( sk_c10 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_46])).
% 0.73/1.19 thf(zip_derived_cl48, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 0.73/1.19 | ((inverse @ sk_c4) = (sk_c10)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.73/1.19 thf(zip_derived_cl994, plain,
% 0.73/1.19 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl951, zip_derived_cl202])).
% 0.73/1.19 thf(zip_derived_cl1019, plain,
% 0.73/1.19 ((((sk_c4) = (inverse @ sk_c10))
% 0.73/1.19 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl994])).
% 0.73/1.19 thf(prove_this_40, conjecture,
% 0.73/1.19 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c5 ) ) ))).
% 0.73/1.19 thf(zf_stmt_8, negated_conjecture,
% 0.73/1.19 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c5 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_40])).
% 0.73/1.19 thf(zip_derived_cl42, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 0.73/1.19 | ((multiply @ sk_c4 @ sk_c10) = (sk_c5)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.73/1.19 thf(zip_derived_cl1352, plain,
% 0.73/1.19 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c5))
% 0.73/1.19 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 0.73/1.19 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl1019, zip_derived_cl42])).
% 0.73/1.19 thf(zip_derived_cl1, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_inverse])).
% 0.73/1.19 thf(zip_derived_cl1368, plain,
% 0.73/1.19 ((((identity) = (sk_c5))
% 0.73/1.19 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 0.73/1.19 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl1352, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl1369, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c5)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl1368])).
% 0.73/1.19 thf(prove_this_34, conjecture,
% 0.73/1.19 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c10 @ sk_c5 ) = ( sk_c9 ) ) ))).
% 0.73/1.19 thf(zf_stmt_9, negated_conjecture,
% 0.73/1.19 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c10 @ sk_c5 ) = ( sk_c9 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 0.73/1.19 thf(zip_derived_cl36, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 0.73/1.19 | ((multiply @ sk_c10 @ sk_c5) = (sk_c9)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.73/1.19 thf(zip_derived_cl1386, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 0.73/1.19 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 0.73/1.19 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl1369, zip_derived_cl36])).
% 0.73/1.19 thf(zip_derived_cl951, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl199])).
% 0.73/1.19 thf(zip_derived_cl1398, plain,
% 0.73/1.19 ((((sk_c10) = (sk_c9))
% 0.73/1.19 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 0.73/1.19 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl1386, zip_derived_cl951])).
% 0.73/1.19 thf(zip_derived_cl1399, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl1398])).
% 0.73/1.19 thf(zip_derived_cl1617, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 0.73/1.19 | ((sk_c10) = (sk_c9))
% 0.73/1.19 | ((sk_c10) = (sk_c9)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl1608, zip_derived_cl1399])).
% 0.73/1.19 thf(zip_derived_cl951, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl199])).
% 0.73/1.19 thf(zip_derived_cl1624, plain,
% 0.73/1.19 ((((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl1617, zip_derived_cl951])).
% 0.73/1.19 thf(zip_derived_cl1625, plain, (((sk_c10) = (sk_c9))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl1624])).
% 0.73/1.19 thf(zip_derived_cl1663, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.73/1.19 (((inverse @ X0) != (sk_c10))
% 0.73/1.19 | ((multiply @ X0 @ sk_c10) != (X1))
% 0.73/1.19 | ((multiply @ sk_c10 @ X1) != (inverse @ sk_c10))
% 0.73/1.19 | ((multiply @ X2 @ (inverse @ sk_c10)) != (sk_c10))
% 0.73/1.19 | ((inverse @ X2) != (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c10) != (sk_c10))
% 0.73/1.19 | ((inverse @ X3) != (sk_c10))
% 0.73/1.19 | ((multiply @ X3 @ sk_c10) != (X4))
% 0.73/1.19 | ((multiply @ sk_c10 @ X4) != (inverse @ sk_c10))
% 0.73/1.19 | ((multiply @ X5 @ sk_c10) != (inverse @ sk_c10))
% 0.73/1.19 | ((inverse @ X6) != (X5))
% 0.73/1.19 | ((multiply @ X6 @ X5) != (inverse @ sk_c10))
% 0.73/1.19 | ((multiply @ X7 @ (inverse @ sk_c10)) != (sk_c10))
% 0.73/1.19 | ((inverse @ X7) != (sk_c10)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl1625])).
% 0.73/1.19 thf(zip_derived_cl1664, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.73/1.19 (((inverse @ X0) != (sk_c10))
% 0.73/1.19 | ((multiply @ X0 @ sk_c10) != (X1))
% 0.73/1.19 | ((multiply @ sk_c10 @ X1) != (sk_c10))
% 0.73/1.19 | ((multiply @ X2 @ sk_c10) != (sk_c10))
% 0.73/1.19 | ((inverse @ X2) != (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c10) != (sk_c10))
% 0.73/1.19 | ((inverse @ X3) != (sk_c10))
% 0.73/1.19 | ((multiply @ X3 @ sk_c10) != (X4))
% 0.73/1.19 | ((multiply @ sk_c10 @ X4) != (sk_c10))
% 0.73/1.19 | ((multiply @ X5 @ sk_c10) != (sk_c10))
% 0.73/1.19 | ((inverse @ X6) != (X5))
% 0.73/1.19 | ((multiply @ X6 @ X5) != (sk_c10))
% 0.73/1.19 | ((multiply @ X7 @ sk_c10) != (sk_c10))
% 0.73/1.19 | ((inverse @ X7) != (sk_c10)))),
% 0.73/1.19 inference('local_rewriting', [status(thm)], [zip_derived_cl1663])).
% 0.73/1.19 thf(prove_this_2, conjecture,
% 0.73/1.19 (~( ( ( inverse @ sk_c6 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 0.73/1.19 thf(zf_stmt_10, negated_conjecture,
% 0.73/1.19 (( ( inverse @ sk_c6 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.73/1.19 thf(zip_derived_cl4, plain,
% 0.73/1.19 ((((inverse @ sk_c6) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.73/1.19 thf(prove_this_3, conjecture,
% 0.73/1.19 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 0.73/1.19 thf(zf_stmt_11, negated_conjecture,
% 0.73/1.19 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.73/1.19 thf(zip_derived_cl5, plain,
% 0.73/1.19 ((((multiply @ sk_c6 @ sk_c9) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.73/1.19 thf(zip_derived_cl191, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 0.73/1.19 thf(zip_derived_cl218, plain,
% 0.73/1.19 ((((sk_c9) = (multiply @ (inverse @ sk_c6) @ sk_c10))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl191])).
% 0.73/1.19 thf(zip_derived_cl545, plain,
% 0.73/1.19 ((((sk_c9) = (multiply @ sk_c10 @ sk_c10))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl218])).
% 0.73/1.19 thf(zip_derived_cl549, plain,
% 0.73/1.19 ((((inverse @ sk_c1) = (sk_c10))
% 0.73/1.19 | ((sk_c9) = (multiply @ sk_c10 @ sk_c10)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl545])).
% 0.73/1.19 thf(prove_this_6, conjecture,
% 0.73/1.19 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 0.73/1.19 thf(zf_stmt_12, negated_conjecture,
% 0.73/1.19 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.73/1.19 thf(zip_derived_cl8, plain,
% 0.73/1.19 ((((inverse @ sk_c7) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.73/1.19 thf(zip_derived_cl1, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_inverse])).
% 0.73/1.19 thf(zip_derived_cl56, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ sk_c7) = (identity))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl191, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 0.73/1.19 thf(zip_derived_cl208, plain,
% 0.73/1.19 ((((sk_c7) = (multiply @ (inverse @ sk_c10) @ identity))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl191])).
% 0.73/1.19 thf(prove_this_5, conjecture,
% 0.73/1.19 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 0.73/1.19 thf(zf_stmt_13, negated_conjecture,
% 0.73/1.19 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.73/1.19 thf(zip_derived_cl7, plain,
% 0.73/1.19 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.73/1.19 thf(zip_derived_cl268, plain,
% 0.73/1.19 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 0.73/1.19 = (sk_c8))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl208, zip_derived_cl7])).
% 0.73/1.19 thf(zip_derived_cl2, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.73/1.19 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.73/1.19 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.73/1.19 inference('cnf', [status(esa)], [associativity])).
% 0.73/1.19 thf(zip_derived_cl0, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_identity])).
% 0.73/1.19 thf(zip_derived_cl1, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_inverse])).
% 0.73/1.19 thf(zip_derived_cl273, plain,
% 0.73/1.19 ((((identity) = (sk_c8))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('demod', [status(thm)],
% 0.73/1.19 [zip_derived_cl268, zip_derived_cl2, zip_derived_cl0,
% 0.73/1.19 zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl274, plain,
% 0.73/1.19 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c8)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl273])).
% 0.73/1.19 thf(prove_this_4, conjecture,
% 0.73/1.19 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 0.73/1.19 thf(zf_stmt_14, negated_conjecture,
% 0.73/1.19 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.73/1.19 thf(zip_derived_cl6, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.73/1.19 thf(zip_derived_cl278, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl6])).
% 0.73/1.19 thf(zip_derived_cl281, plain,
% 0.73/1.19 ((((inverse @ sk_c1) = (sk_c10))
% 0.73/1.19 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl278])).
% 0.73/1.19 thf(zip_derived_cl557, plain,
% 0.73/1.19 ((((multiply @ sk_c10 @ identity) = (multiply @ sk_c10 @ sk_c10))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl549, zip_derived_cl281])).
% 0.73/1.19 thf(zip_derived_cl562, plain,
% 0.73/1.19 ((((inverse @ sk_c1) = (sk_c10))
% 0.73/1.19 | ((multiply @ sk_c10 @ identity) = (multiply @ sk_c10 @ sk_c10)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl557])).
% 0.73/1.19 thf(zip_derived_cl191, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 0.73/1.19 thf(zip_derived_cl609, plain,
% 0.73/1.19 ((((sk_c10)
% 0.73/1.19 = (multiply @ (inverse @ sk_c10) @ (multiply @ sk_c10 @ identity)))
% 0.73/1.19 | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl562, zip_derived_cl191])).
% 0.73/1.19 thf(zip_derived_cl191, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 0.73/1.19 thf(zip_derived_cl612, plain,
% 0.73/1.19 ((((sk_c10) = (identity)) | ((inverse @ sk_c1) = (sk_c10)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl609, zip_derived_cl191])).
% 0.73/1.19 thf(prove_this_20, conjecture,
% 0.73/1.19 (~( ( ( inverse @ sk_c6 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 0.73/1.19 thf(zf_stmt_15, negated_conjecture,
% 0.73/1.19 (( ( inverse @ sk_c6 ) = ( sk_c10 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.73/1.19 thf(zip_derived_cl22, plain,
% 0.73/1.19 ((((inverse @ sk_c6) = (sk_c10)) | ((inverse @ sk_c2) = (sk_c3)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.73/1.19 thf(prove_this_14, conjecture,
% 0.73/1.19 (~( ( ( inverse @ sk_c6 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c9 ) ) ))).
% 0.73/1.19 thf(zf_stmt_16, negated_conjecture,
% 0.73/1.19 (( ( inverse @ sk_c6 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c9 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.73/1.19 thf(zip_derived_cl16, plain,
% 0.73/1.19 ((((inverse @ sk_c6) = (sk_c10)) | ((multiply @ sk_c2 @ sk_c3) = (sk_c9)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.73/1.19 thf(zip_derived_cl1625, plain, (((sk_c10) = (sk_c9))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl1624])).
% 0.73/1.19 thf(zip_derived_cl1637, plain,
% 0.73/1.19 ((((inverse @ sk_c6) = (sk_c10))
% 0.73/1.19 | ((multiply @ sk_c2 @ sk_c3) = (sk_c10)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl1625])).
% 0.73/1.19 thf(zip_derived_cl1809, plain,
% 0.73/1.19 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c6) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c6) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1637])).
% 0.73/1.19 thf(zip_derived_cl994, plain,
% 0.73/1.19 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl951, zip_derived_cl202])).
% 0.73/1.19 thf(zip_derived_cl1, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_inverse])).
% 0.73/1.19 thf(zip_derived_cl1005, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl994, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl1815, plain,
% 0.73/1.19 ((((identity) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c6) = (sk_c10))
% 0.73/1.19 | ((inverse @ sk_c6) = (sk_c10)))),
% 0.73/1.19 inference('demod', [status(thm)],
% 0.73/1.19 [zip_derived_cl1809, zip_derived_cl1005])).
% 0.73/1.19 thf(zip_derived_cl1816, plain,
% 0.73/1.19 ((((inverse @ sk_c6) = (sk_c10)) | ((identity) = (sk_c10)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl1815])).
% 0.73/1.19 thf(zip_derived_cl1005, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl994, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl1824, plain,
% 0.73/1.19 ((((multiply @ sk_c6 @ sk_c10) = (identity)) | ((identity) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl1816, zip_derived_cl1005])).
% 0.73/1.19 thf(prove_this_9, conjecture,
% 0.73/1.19 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 0.73/1.19 thf(zf_stmt_17, negated_conjecture,
% 0.73/1.19 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c10 ) ) |
% 0.73/1.19 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 0.73/1.19 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.73/1.19 thf(zip_derived_cl11, plain,
% 0.73/1.19 ((((multiply @ sk_c6 @ sk_c9) = (sk_c10))
% 0.73/1.19 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 0.73/1.19 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.73/1.19 thf(zip_derived_cl1625, plain, (((sk_c10) = (sk_c9))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl1624])).
% 0.73/1.19 thf(zip_derived_cl1625, plain, (((sk_c10) = (sk_c9))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl1624])).
% 0.73/1.19 thf(zip_derived_cl1632, plain,
% 0.73/1.19 ((((multiply @ sk_c6 @ sk_c10) = (sk_c10))
% 0.73/1.19 | ((multiply @ sk_c1 @ sk_c10) = (sk_c10)))),
% 0.73/1.19 inference('demod', [status(thm)],
% 0.73/1.19 [zip_derived_cl11, zip_derived_cl1625, zip_derived_cl1625])).
% 0.73/1.19 thf(zip_derived_cl3694, plain,
% 0.73/1.19 ((((identity) = (sk_c10))
% 0.73/1.19 | ((identity) = (sk_c10))
% 0.73/1.19 | ((multiply @ sk_c1 @ sk_c10) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl1824, zip_derived_cl1632])).
% 0.73/1.19 thf(zip_derived_cl3707, plain,
% 0.73/1.19 ((((multiply @ sk_c1 @ sk_c10) = (sk_c10)) | ((identity) = (sk_c10)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3694])).
% 0.73/1.19 thf(zip_derived_cl3717, plain,
% 0.73/1.19 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c10))
% 0.73/1.19 | ((sk_c10) = (identity))
% 0.73/1.19 | ((identity) = (sk_c10)))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl612, zip_derived_cl3707])).
% 0.73/1.19 thf(zip_derived_cl1005, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl994, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl3722, plain,
% 0.73/1.19 ((((identity) = (sk_c10))
% 0.73/1.19 | ((sk_c10) = (identity))
% 0.73/1.19 | ((identity) = (sk_c10)))),
% 0.73/1.19 inference('demod', [status(thm)],
% 0.73/1.19 [zip_derived_cl3717, zip_derived_cl1005])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl951, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl199])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl0, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_identity])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl951, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl199])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl0, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_identity])).
% 0.73/1.19 thf(zip_derived_cl191, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 0.73/1.19 thf(zip_derived_cl201, plain,
% 0.73/1.19 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl191])).
% 0.73/1.19 thf(zip_derived_cl191, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl0])).
% 0.73/1.19 thf(zip_derived_cl249, plain,
% 0.73/1.19 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl191])).
% 0.73/1.19 thf(zip_derived_cl1, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_inverse])).
% 0.73/1.19 thf(zip_derived_cl766, plain, (((inverse @ identity) = (identity))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl951, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl199])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl0, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.73/1.19 inference('cnf', [status(esa)], [left_identity])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl951, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl199])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl951, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl199])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl3723, plain, (((identity) = (sk_c10))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3722])).
% 0.73/1.19 thf(zip_derived_cl3796, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.73/1.19 (((inverse @ X0) != (identity))
% 0.73/1.19 | ((X0) != (X1))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((X2) != (identity))
% 0.73/1.19 | ((inverse @ X2) != (identity))
% 0.73/1.19 | ((identity) != (identity))
% 0.73/1.19 | ((inverse @ X3) != (identity))
% 0.73/1.19 | ((X3) != (X4))
% 0.73/1.19 | ((X4) != (identity))
% 0.73/1.19 | ((X5) != (identity))
% 0.73/1.19 | ((inverse @ X6) != (X5))
% 0.73/1.19 | ((multiply @ X6 @ X5) != (identity))
% 0.73/1.19 | ((X7) != (identity))
% 0.73/1.19 | ((inverse @ X7) != (identity)))),
% 0.73/1.19 inference('demod', [status(thm)],
% 0.73/1.19 [zip_derived_cl1664, zip_derived_cl3723, zip_derived_cl3723,
% 0.73/1.19 zip_derived_cl951, zip_derived_cl3723, zip_derived_cl0,
% 0.73/1.19 zip_derived_cl3723, zip_derived_cl3723, zip_derived_cl951,
% 0.73/1.19 zip_derived_cl3723, zip_derived_cl3723, zip_derived_cl3723,
% 0.73/1.19 zip_derived_cl766, zip_derived_cl3723, zip_derived_cl3723,
% 0.73/1.19 zip_derived_cl3723, zip_derived_cl951, zip_derived_cl3723,
% 0.73/1.19 zip_derived_cl0, zip_derived_cl3723, zip_derived_cl3723,
% 0.73/1.19 zip_derived_cl951, zip_derived_cl3723, zip_derived_cl3723,
% 0.73/1.19 zip_derived_cl3723, zip_derived_cl951, zip_derived_cl3723,
% 0.73/1.19 zip_derived_cl3723])).
% 0.73/1.19 thf(zip_derived_cl3797, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.73/1.19 (((inverse @ X7) != (identity))
% 0.73/1.19 | ((X7) != (identity))
% 0.73/1.19 | ((multiply @ X6 @ X5) != (identity))
% 0.73/1.19 | ((inverse @ X6) != (X5))
% 0.73/1.19 | ((X5) != (identity))
% 0.73/1.19 | ((X4) != (identity))
% 0.73/1.19 | ((X3) != (X4))
% 0.73/1.19 | ((inverse @ X3) != (identity))
% 0.73/1.19 | ((inverse @ X2) != (identity))
% 0.73/1.19 | ((X2) != (identity))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((X0) != (X1))
% 0.73/1.19 | ((inverse @ X0) != (identity)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3796])).
% 0.73/1.19 thf(zip_derived_cl3827, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.73/1.19 (((inverse @ X0) != (identity))
% 0.73/1.19 | ((X0) != (X1))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((X2) != (identity))
% 0.73/1.19 | ((inverse @ X2) != (identity))
% 0.73/1.19 | ((inverse @ X3) != (identity))
% 0.73/1.19 | ((X3) != (identity))
% 0.73/1.19 | ((X4) != (identity))
% 0.73/1.19 | ((inverse @ X5) != (X4))
% 0.73/1.19 | ((multiply @ X5 @ X4) != (identity))
% 0.73/1.19 | ((X6) != (identity))
% 0.73/1.19 | ((inverse @ X6) != (identity)))),
% 0.73/1.19 inference('eq_res', [status(thm)], [zip_derived_cl3797])).
% 0.73/1.19 thf(zip_derived_cl3828, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.73/1.19 (((inverse @ X0) != (identity))
% 0.73/1.19 | ((X0) != (identity))
% 0.73/1.19 | ((multiply @ X2 @ X1) != (identity))
% 0.73/1.19 | ((inverse @ X2) != (X1))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((X3) != (identity))
% 0.73/1.19 | ((inverse @ X3) != (identity))
% 0.73/1.19 | ((inverse @ X4) != (identity))
% 0.73/1.19 | ((X4) != (identity))
% 0.73/1.19 | ((X5) != (identity))
% 0.73/1.19 | ((inverse @ X5) != (identity)))),
% 0.73/1.19 inference('eq_res', [status(thm)], [zip_derived_cl3827])).
% 0.73/1.19 thf(zip_derived_cl3829, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.73/1.19 (((inverse @ X0) != (identity))
% 0.73/1.19 | ((X0) != (identity))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((inverse @ X1) != (identity))
% 0.73/1.19 | ((inverse @ X2) != (identity))
% 0.73/1.19 | ((X2) != (identity))
% 0.73/1.19 | ((X3) != (identity))
% 0.73/1.19 | ((inverse @ X4) != (X3))
% 0.73/1.19 | ((multiply @ X4 @ X3) != (identity))
% 0.73/1.19 | ((inverse @ identity) != (identity)))),
% 0.73/1.19 inference('eq_res', [status(thm)], [zip_derived_cl3828])).
% 0.73/1.19 thf(zip_derived_cl766, plain, (((inverse @ identity) = (identity))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl3830, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.73/1.19 (((inverse @ X0) != (identity))
% 0.73/1.19 | ((X0) != (identity))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((inverse @ X1) != (identity))
% 0.73/1.19 | ((inverse @ X2) != (identity))
% 0.73/1.19 | ((X2) != (identity))
% 0.73/1.19 | ((X3) != (identity))
% 0.73/1.19 | ((inverse @ X4) != (X3))
% 0.73/1.19 | ((multiply @ X4 @ X3) != (identity))
% 0.73/1.19 | ((identity) != (identity)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl3829, zip_derived_cl766])).
% 0.73/1.19 thf(zip_derived_cl3831, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.73/1.19 (((multiply @ X4 @ X3) != (identity))
% 0.73/1.19 | ((inverse @ X4) != (X3))
% 0.73/1.19 | ((X3) != (identity))
% 0.73/1.19 | ((X2) != (identity))
% 0.73/1.19 | ((inverse @ X2) != (identity))
% 0.73/1.19 | ((inverse @ X1) != (identity))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((X0) != (identity))
% 0.73/1.19 | ((inverse @ X0) != (identity)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3830])).
% 0.73/1.19 thf(zip_derived_cl3832, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.73/1.19 (((inverse @ X0) != (identity))
% 0.73/1.19 | ((X0) != (identity))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((inverse @ X1) != (identity))
% 0.73/1.19 | ((inverse @ X2) != (identity))
% 0.73/1.19 | ((X2) != (identity))
% 0.73/1.19 | ((inverse @ X3) != (identity))
% 0.73/1.19 | ((multiply @ X3 @ identity) != (identity)))),
% 0.73/1.19 inference('eq_res', [status(thm)], [zip_derived_cl3831])).
% 0.73/1.19 thf(zip_derived_cl951, plain,
% 0.73/1.19 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl199])).
% 0.73/1.19 thf(zip_derived_cl3833, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.73/1.19 (((inverse @ X0) != (identity))
% 0.73/1.19 | ((X0) != (identity))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((inverse @ X1) != (identity))
% 0.73/1.19 | ((inverse @ X2) != (identity))
% 0.73/1.19 | ((X2) != (identity))
% 0.73/1.19 | ((inverse @ X3) != (identity))
% 0.73/1.19 | ((X3) != (identity)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl3832, zip_derived_cl951])).
% 0.73/1.19 thf(zip_derived_cl3834, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.73/1.19 (((X0) != (identity))
% 0.73/1.19 | ((inverse @ X0) != (identity))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((inverse @ X1) != (identity))
% 0.73/1.19 | ((inverse @ X2) != (identity))
% 0.73/1.19 | ((X2) != (identity))
% 0.73/1.19 | ((inverse @ identity) != (identity)))),
% 0.73/1.19 inference('eq_res', [status(thm)], [zip_derived_cl3833])).
% 0.73/1.19 thf(zip_derived_cl766, plain, (((inverse @ identity) = (identity))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl3835, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.73/1.19 (((X0) != (identity))
% 0.73/1.19 | ((inverse @ X0) != (identity))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((inverse @ X1) != (identity))
% 0.73/1.19 | ((inverse @ X2) != (identity))
% 0.73/1.19 | ((X2) != (identity))
% 0.73/1.19 | ((identity) != (identity)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl3834, zip_derived_cl766])).
% 0.73/1.19 thf(zip_derived_cl3836, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.73/1.19 (((X2) != (identity))
% 0.73/1.19 | ((inverse @ X2) != (identity))
% 0.73/1.19 | ((inverse @ X1) != (identity))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((inverse @ X0) != (identity))
% 0.73/1.19 | ((X0) != (identity)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3835])).
% 0.73/1.19 thf(zip_derived_cl3864, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 (((X0) != (identity))
% 0.73/1.19 | ((inverse @ X0) != (identity))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((inverse @ X1) != (identity))
% 0.73/1.19 | ((inverse @ identity) != (identity)))),
% 0.73/1.19 inference('eq_res', [status(thm)], [zip_derived_cl3836])).
% 0.73/1.19 thf(zip_derived_cl766, plain, (((inverse @ identity) = (identity))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl3865, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 (((X0) != (identity))
% 0.73/1.19 | ((inverse @ X0) != (identity))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((inverse @ X1) != (identity))
% 0.73/1.19 | ((identity) != (identity)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl3864, zip_derived_cl766])).
% 0.73/1.19 thf(zip_derived_cl3866, plain,
% 0.73/1.19 (![X0 : $i, X1 : $i]:
% 0.73/1.19 (((inverse @ X1) != (identity))
% 0.73/1.19 | ((X1) != (identity))
% 0.73/1.19 | ((inverse @ X0) != (identity))
% 0.73/1.19 | ((X0) != (identity)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3865])).
% 0.73/1.19 thf(zip_derived_cl3867, plain,
% 0.73/1.19 (![X0 : $i]:
% 0.73/1.19 (((X0) != (identity))
% 0.73/1.19 | ((inverse @ X0) != (identity))
% 0.73/1.19 | ((inverse @ identity) != (identity)))),
% 0.73/1.19 inference('eq_res', [status(thm)], [zip_derived_cl3866])).
% 0.73/1.19 thf(zip_derived_cl766, plain, (((inverse @ identity) = (identity))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl3868, plain,
% 0.73/1.19 (![X0 : $i]:
% 0.73/1.19 (((X0) != (identity))
% 0.73/1.19 | ((inverse @ X0) != (identity))
% 0.73/1.19 | ((identity) != (identity)))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl3867, zip_derived_cl766])).
% 0.73/1.19 thf(zip_derived_cl3869, plain,
% 0.73/1.19 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3868])).
% 0.73/1.19 thf(zip_derived_cl3870, plain, (((inverse @ identity) != (identity))),
% 0.73/1.19 inference('eq_res', [status(thm)], [zip_derived_cl3869])).
% 0.73/1.19 thf(zip_derived_cl766, plain, (((inverse @ identity) = (identity))),
% 0.73/1.19 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl1])).
% 0.73/1.19 thf(zip_derived_cl3871, plain, (((identity) != (identity))),
% 0.73/1.19 inference('demod', [status(thm)], [zip_derived_cl3870, zip_derived_cl766])).
% 0.73/1.19 thf(zip_derived_cl3872, plain, ($false),
% 0.73/1.19 inference('simplify', [status(thm)], [zip_derived_cl3871])).
% 0.73/1.19
% 0.73/1.19 % SZS output end Refutation
% 0.73/1.19
% 0.73/1.19
% 0.73/1.20 % Terminating...
% 5.11/1.33 % Runner terminated.
% 5.11/1.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------