TSTP Solution File: GRP285-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP285-1 : 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.ImNXrlPgDb true
% Computer : n021.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 0.59s 0.89s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP285-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ImNXrlPgDb true
% 0.15/0.38 % Computer : n021.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Mon Aug 28 20:03:14 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.15/0.38 % Running portfolio for 300 s
% 0.15/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.39 % Number of cores: 8
% 0.23/0.39 % Python version: Python 3.6.8
% 0.23/0.39 % Running in FO mode
% 0.54/0.68 % Total configuration time : 435
% 0.54/0.68 % Estimated wc time : 1092
% 0.54/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.89 % Solved by fo/fo7.sh.
% 0.59/0.89 % done 172 iterations in 0.064s
% 0.59/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.89 % SZS output start Refutation
% 0.59/0.89 thf(sk_c5_type, type, sk_c5: $i).
% 0.59/0.89 thf(sk_c7_type, type, sk_c7: $i).
% 0.59/0.89 thf(sk_c6_type, type, sk_c6: $i).
% 0.59/0.89 thf(identity_type, type, identity: $i).
% 0.59/0.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/0.89 thf(sk_c8_type, type, sk_c8: $i).
% 0.59/0.89 thf(inverse_type, type, inverse: $i > $i).
% 0.59/0.89 thf(sk_c3_type, type, sk_c3: $i).
% 0.59/0.89 thf(sk_c1_type, type, sk_c1: $i).
% 0.59/0.89 thf(sk_c9_type, type, sk_c9: $i).
% 0.59/0.89 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.59/0.89 thf(zip_derived_cl0, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.89 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(associativity, axiom,
% 0.59/0.89 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.59/0.89 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.59/0.89 thf(zip_derived_cl2, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.89 thf(zip_derived_cl46, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i]:
% 0.59/0.89 ((multiply @ identity @ X0)
% 0.59/0.89 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.89 thf(zip_derived_cl0, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.89 thf(zip_derived_cl64, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i]:
% 0.59/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 0.59/0.89 thf(zip_derived_cl76, plain,
% 0.59/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl64])).
% 0.59/0.89 thf(zip_derived_cl64, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i]:
% 0.59/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 0.59/0.89 thf(zip_derived_cl64, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i]:
% 0.59/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 0.59/0.89 thf(zip_derived_cl73, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i]:
% 0.59/0.89 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl64])).
% 0.59/0.89 thf(zip_derived_cl320, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl73])).
% 0.59/0.89 thf(zip_derived_cl76, plain,
% 0.59/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl64])).
% 0.59/0.89 thf(zip_derived_cl354, plain,
% 0.59/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl76])).
% 0.59/0.89 thf(zip_derived_cl354, plain,
% 0.59/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl76])).
% 0.59/0.89 thf(zip_derived_cl354, plain,
% 0.59/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl76])).
% 0.59/0.89 thf(zip_derived_cl354, plain,
% 0.59/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl76])).
% 0.59/0.89 thf(prove_this_29, conjecture,
% 0.59/0.89 (~( ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 0.59/0.89 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c7 ) ) |
% 0.59/0.89 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.59/0.89 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.59/0.89 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 0.59/0.89 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 0.59/0.89 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c7 ) ) |
% 0.59/0.89 ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 0.59/0.89 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c8 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c7 ) ) ))).
% 0.59/0.89 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.89 (( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 0.59/0.89 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c7 ) ) |
% 0.59/0.89 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.59/0.89 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.59/0.89 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 0.59/0.89 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 0.59/0.89 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c7 ) ) |
% 0.59/0.89 ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 0.59/0.89 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c8 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c7 ) )),
% 0.59/0.89 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 0.59/0.89 thf(zip_derived_cl31, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.89 (((inverse @ X0) != (sk_c9))
% 0.59/0.89 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.59/0.89 | ((multiply @ sk_c9 @ X1) != (sk_c7))
% 0.59/0.89 | ((inverse @ X2) != (sk_c7))
% 0.59/0.89 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.59/0.89 | ((inverse @ X3) != (sk_c9))
% 0.59/0.89 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 0.59/0.89 | ((multiply @ X4 @ sk_c9) != (sk_c7))
% 0.59/0.89 | ((inverse @ X5) != (sk_c9))
% 0.59/0.89 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 0.59/0.89 | ((multiply @ sk_c9 @ sk_c8) != (sk_c7)))),
% 0.59/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.89 thf(zip_derived_cl32, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.89 (((inverse @ X0) != (sk_c9))
% 0.59/0.89 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.59/0.89 | ((multiply @ sk_c9 @ X1) != (multiply @ sk_c9 @ sk_c8))
% 0.59/0.89 | ((inverse @ X2) != (multiply @ sk_c9 @ sk_c8))
% 0.59/0.89 | ((multiply @ X2 @ (multiply @ sk_c9 @ sk_c8)) != (sk_c8))
% 0.59/0.89 | ((inverse @ X3) != (sk_c9))
% 0.59/0.89 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 0.59/0.89 | ((multiply @ X4 @ sk_c9) != (multiply @ sk_c9 @ sk_c8))
% 0.59/0.89 | ((inverse @ X5) != (sk_c9))
% 0.59/0.89 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 0.59/0.89 | ((multiply @ sk_c9 @ sk_c8) != (sk_c7)))),
% 0.59/0.89 inference('local_rewriting', [status(thm)], [zip_derived_cl31])).
% 0.59/0.89 thf(prove_this_16, conjecture,
% 0.59/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 0.59/0.89 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 0.59/0.89 thf(zf_stmt_1, negated_conjecture,
% 0.59/0.89 (( ( inverse @ sk_c3 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 0.59/0.89 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.59/0.89 thf(zip_derived_cl18, plain,
% 0.59/0.89 ((((inverse @ sk_c3) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 0.59/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(zip_derived_cl36, plain,
% 0.59/0.89 ((((multiply @ sk_c9 @ sk_c1) = (identity))
% 0.59/0.89 | ((inverse @ sk_c3) = (sk_c9)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 0.59/0.89 thf(zip_derived_cl64, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i]:
% 0.59/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 0.59/0.89 thf(zip_derived_cl81, plain,
% 0.59/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.59/0.89 | ((inverse @ sk_c3) = (sk_c9)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl64])).
% 0.59/0.89 thf(prove_this_9, conjecture,
% 0.59/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 0.59/0.89 thf(zf_stmt_2, negated_conjecture,
% 0.59/0.89 (( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) )),
% 0.59/0.89 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.59/0.89 thf(zip_derived_cl11, plain,
% 0.59/0.89 ((((inverse @ sk_c3) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c8)))),
% 0.59/0.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.89 thf(zip_derived_cl175, plain,
% 0.59/0.89 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 0.59/0.89 = (sk_c8))
% 0.59/0.89 | ((inverse @ sk_c3) = (sk_c9))
% 0.59/0.89 | ((inverse @ sk_c3) = (sk_c9)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl11])).
% 0.59/0.89 thf(zip_derived_cl2, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.89 thf(zip_derived_cl0, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(zip_derived_cl192, plain,
% 0.59/0.89 ((((identity) = (sk_c8))
% 0.59/0.89 | ((inverse @ sk_c3) = (sk_c9))
% 0.59/0.89 | ((inverse @ sk_c3) = (sk_c9)))),
% 0.59/0.89 inference('demod', [status(thm)],
% 0.59/0.89 [zip_derived_cl175, zip_derived_cl2, zip_derived_cl0,
% 0.59/0.89 zip_derived_cl1])).
% 0.59/0.89 thf(zip_derived_cl193, plain,
% 0.59/0.89 ((((inverse @ sk_c3) = (sk_c9)) | ((identity) = (sk_c8)))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl192])).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(zip_derived_cl201, plain,
% 0.59/0.89 ((((multiply @ sk_c9 @ sk_c3) = (identity)) | ((identity) = (sk_c8)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl1])).
% 0.59/0.89 thf(zip_derived_cl64, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i]:
% 0.59/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 0.59/0.89 thf(zip_derived_cl256, plain,
% 0.59/0.89 ((((sk_c3) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.59/0.89 | ((identity) = (sk_c8)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl64])).
% 0.59/0.89 thf(zip_derived_cl320, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl73])).
% 0.59/0.89 thf(zip_derived_cl346, plain,
% 0.59/0.89 ((((sk_c3) = (inverse @ sk_c9)) | ((identity) = (sk_c8)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl320])).
% 0.59/0.89 thf(prove_this_15, conjecture,
% 0.59/0.89 (~( ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.59/0.89 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 0.59/0.89 thf(zf_stmt_3, negated_conjecture,
% 0.59/0.89 (( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.59/0.89 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 0.59/0.89 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.59/0.89 thf(zip_derived_cl17, plain,
% 0.59/0.89 ((((multiply @ sk_c3 @ sk_c9) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c9)))),
% 0.59/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.89 thf(zip_derived_cl354, plain,
% 0.59/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl76])).
% 0.59/0.89 thf(zip_derived_cl513, plain,
% 0.59/0.89 ((((sk_c1) = (inverse @ sk_c9)) | ((multiply @ sk_c3 @ sk_c9) = (sk_c8)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl354])).
% 0.59/0.89 thf(prove_this_8, conjecture,
% 0.59/0.89 (~( ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 0.59/0.89 thf(zf_stmt_4, negated_conjecture,
% 0.59/0.89 (( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) )),
% 0.59/0.89 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.59/0.89 thf(zip_derived_cl10, plain,
% 0.59/0.89 ((((multiply @ sk_c3 @ sk_c9) = (sk_c8))
% 0.59/0.89 | ((multiply @ sk_c1 @ sk_c9) = (sk_c8)))),
% 0.59/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.59/0.89 thf(zip_derived_cl552, plain,
% 0.59/0.89 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 0.59/0.89 | ((multiply @ sk_c3 @ sk_c9) = (sk_c8))
% 0.59/0.89 | ((multiply @ sk_c3 @ sk_c9) = (sk_c8)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl513, zip_derived_cl10])).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(zip_derived_cl569, plain,
% 0.59/0.89 ((((identity) = (sk_c8))
% 0.59/0.89 | ((multiply @ sk_c3 @ sk_c9) = (sk_c8))
% 0.59/0.89 | ((multiply @ sk_c3 @ sk_c9) = (sk_c8)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl552, zip_derived_cl1])).
% 0.59/0.89 thf(zip_derived_cl570, plain,
% 0.59/0.89 ((((multiply @ sk_c3 @ sk_c9) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl569])).
% 0.59/0.89 thf(zip_derived_cl694, plain,
% 0.59/0.89 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 0.59/0.89 | ((identity) = (sk_c8))
% 0.59/0.89 | ((identity) = (sk_c8)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl570])).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(zip_derived_cl697, plain,
% 0.59/0.89 ((((identity) = (sk_c8))
% 0.59/0.89 | ((identity) = (sk_c8))
% 0.59/0.89 | ((identity) = (sk_c8)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl694, zip_derived_cl1])).
% 0.59/0.89 thf(zip_derived_cl698, plain, (((identity) = (sk_c8))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl697])).
% 0.59/0.89 thf(zip_derived_cl320, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl73])).
% 0.59/0.89 thf(zip_derived_cl698, plain, (((identity) = (sk_c8))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl697])).
% 0.59/0.89 thf(zip_derived_cl320, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl73])).
% 0.59/0.89 thf(zip_derived_cl698, plain, (((identity) = (sk_c8))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl697])).
% 0.59/0.89 thf(zip_derived_cl320, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl73])).
% 0.59/0.89 thf(zip_derived_cl698, plain, (((identity) = (sk_c8))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl697])).
% 0.59/0.89 thf(zip_derived_cl698, plain, (((identity) = (sk_c8))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl697])).
% 0.59/0.89 thf(zip_derived_cl698, plain, (((identity) = (sk_c8))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl697])).
% 0.59/0.89 thf(zip_derived_cl320, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl73])).
% 0.59/0.89 thf(zip_derived_cl698, plain, (((identity) = (sk_c8))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl697])).
% 0.59/0.89 thf(zip_derived_cl698, plain, (((identity) = (sk_c8))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl697])).
% 0.59/0.89 thf(zip_derived_cl320, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl73])).
% 0.59/0.89 thf(zip_derived_cl716, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.89 (((inverse @ X0) != (sk_c9))
% 0.59/0.89 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.59/0.89 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 0.59/0.89 | ((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X3) != (sk_c9))
% 0.59/0.89 | ((multiply @ X3 @ sk_c9) != (identity))
% 0.59/0.89 | ((multiply @ X4 @ sk_c9) != (sk_c9))
% 0.59/0.89 | ((inverse @ X5) != (sk_c9))
% 0.59/0.89 | ((multiply @ X5 @ sk_c9) != (identity))
% 0.59/0.89 | ((sk_c9) != (sk_c7)))),
% 0.59/0.89 inference('demod', [status(thm)],
% 0.59/0.89 [zip_derived_cl32, zip_derived_cl698, zip_derived_cl320,
% 0.59/0.89 zip_derived_cl698, zip_derived_cl320, zip_derived_cl698,
% 0.59/0.89 zip_derived_cl320, zip_derived_cl698, zip_derived_cl698,
% 0.59/0.89 zip_derived_cl698, zip_derived_cl320, zip_derived_cl698,
% 0.59/0.89 zip_derived_cl698, zip_derived_cl320])).
% 0.59/0.89 thf(prove_this_7, conjecture,
% 0.59/0.89 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.59/0.89 thf(zf_stmt_5, negated_conjecture,
% 0.59/0.89 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) )),
% 0.59/0.89 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.59/0.89 thf(zip_derived_cl9, plain,
% 0.59/0.89 ((((inverse @ sk_c5) = (sk_c9)) | ((multiply @ sk_c9 @ sk_c8) = (sk_c7)))),
% 0.59/0.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(zip_derived_cl35, plain,
% 0.59/0.89 ((((multiply @ sk_c9 @ sk_c5) = (identity))
% 0.59/0.89 | ((multiply @ sk_c9 @ sk_c8) = (sk_c7)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 0.59/0.89 thf(zip_derived_cl64, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i]:
% 0.59/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl46, zip_derived_cl0])).
% 0.59/0.89 thf(zip_derived_cl80, plain,
% 0.59/0.89 ((((sk_c5) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.59/0.89 | ((multiply @ sk_c9 @ sk_c8) = (sk_c7)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl64])).
% 0.59/0.89 thf(prove_this_6, conjecture,
% 0.59/0.89 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.59/0.89 thf(zf_stmt_6, negated_conjecture,
% 0.59/0.89 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) )),
% 0.59/0.89 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.59/0.89 thf(zip_derived_cl8, plain,
% 0.59/0.89 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 0.59/0.89 | ((multiply @ sk_c9 @ sk_c8) = (sk_c7)))),
% 0.59/0.89 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/0.89 thf(zip_derived_cl121, plain,
% 0.59/0.89 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 0.59/0.89 = (sk_c6))
% 0.59/0.89 | ((multiply @ sk_c9 @ sk_c8) = (sk_c7))
% 0.59/0.89 | ((multiply @ sk_c9 @ sk_c8) = (sk_c7)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl8])).
% 0.59/0.89 thf(zip_derived_cl2, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.89 thf(zip_derived_cl0, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(zip_derived_cl124, plain,
% 0.59/0.89 ((((identity) = (sk_c6))
% 0.59/0.89 | ((multiply @ sk_c9 @ sk_c8) = (sk_c7))
% 0.59/0.89 | ((multiply @ sk_c9 @ sk_c8) = (sk_c7)))),
% 0.59/0.89 inference('demod', [status(thm)],
% 0.59/0.89 [zip_derived_cl121, zip_derived_cl2, zip_derived_cl0,
% 0.59/0.89 zip_derived_cl1])).
% 0.59/0.89 thf(zip_derived_cl125, plain,
% 0.59/0.89 ((((multiply @ sk_c9 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl124])).
% 0.59/0.89 thf(prove_this_5, conjecture,
% 0.59/0.89 (~( ( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.59/0.89 thf(zf_stmt_7, negated_conjecture,
% 0.59/0.89 (( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.59/0.89 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) )),
% 0.59/0.89 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.59/0.89 thf(zip_derived_cl7, plain,
% 0.59/0.89 ((((multiply @ sk_c9 @ sk_c6) = (sk_c7))
% 0.59/0.89 | ((multiply @ sk_c9 @ sk_c8) = (sk_c7)))),
% 0.59/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.89 thf(zip_derived_cl128, plain,
% 0.59/0.89 ((((multiply @ sk_c9 @ identity) = (sk_c7))
% 0.59/0.89 | ((multiply @ sk_c9 @ sk_c8) = (sk_c7))
% 0.59/0.89 | ((multiply @ sk_c9 @ sk_c8) = (sk_c7)))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl7])).
% 0.59/0.89 thf(zip_derived_cl130, plain,
% 0.59/0.89 ((((multiply @ sk_c9 @ sk_c8) = (sk_c7))
% 0.59/0.89 | ((multiply @ sk_c9 @ identity) = (sk_c7)))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl128])).
% 0.59/0.89 thf(zip_derived_cl320, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl73])).
% 0.59/0.89 thf(zip_derived_cl343, plain,
% 0.59/0.89 ((((multiply @ sk_c9 @ sk_c8) = (sk_c7)) | ((sk_c9) = (sk_c7)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl320])).
% 0.59/0.89 thf(zip_derived_cl698, plain, (((identity) = (sk_c8))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl697])).
% 0.59/0.89 thf(zip_derived_cl320, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl73])).
% 0.59/0.89 thf(zip_derived_cl725, plain, ((((sk_c9) = (sk_c7)) | ((sk_c9) = (sk_c7)))),
% 0.59/0.89 inference('demod', [status(thm)],
% 0.59/0.89 [zip_derived_cl343, zip_derived_cl698, zip_derived_cl320])).
% 0.59/0.89 thf(zip_derived_cl726, plain, (((sk_c9) = (sk_c7))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl725])).
% 0.59/0.89 thf(zip_derived_cl741, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.89 (((inverse @ X0) != (sk_c9))
% 0.59/0.89 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.59/0.89 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 0.59/0.89 | ((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X3) != (sk_c9))
% 0.59/0.89 | ((multiply @ X3 @ sk_c9) != (identity))
% 0.59/0.89 | ((multiply @ X4 @ sk_c9) != (sk_c9))
% 0.59/0.89 | ((inverse @ X5) != (sk_c9))
% 0.59/0.89 | ((multiply @ X5 @ sk_c9) != (identity))
% 0.59/0.89 | ((sk_c9) != (sk_c9)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl716, zip_derived_cl726])).
% 0.59/0.89 thf(zip_derived_cl742, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.89 (((multiply @ X5 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X5) != (sk_c9))
% 0.59/0.89 | ((multiply @ X4 @ sk_c9) != (sk_c9))
% 0.59/0.89 | ((multiply @ X3 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X3) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 0.59/0.89 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.59/0.89 | ((inverse @ X0) != (sk_c9)))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl741])).
% 0.59/0.89 thf(zip_derived_cl743, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.89 (((X0) != (sk_c9))
% 0.59/0.89 | ((inverse @ X1) != (sk_c9))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (X2))
% 0.59/0.89 | ((multiply @ sk_c9 @ X2) != (sk_c9))
% 0.59/0.89 | ((inverse @ X3) != (sk_c9))
% 0.59/0.89 | ((multiply @ X3 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X4) != (sk_c9))
% 0.59/0.89 | ((multiply @ X4 @ sk_c9) != (identity))
% 0.59/0.89 | ((multiply @ X5 @ sk_c9) != (sk_c9))
% 0.59/0.89 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity)))),
% 0.59/0.89 inference('sup-', [status(thm)], [zip_derived_cl354, zip_derived_cl742])).
% 0.59/0.89 thf(zip_derived_cl750, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/0.89 (((multiply @ (inverse @ sk_c9) @ sk_c9) != (identity))
% 0.59/0.89 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X1) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((multiply @ sk_c9 @ X3) != (sk_c9))
% 0.59/0.89 | ((multiply @ X4 @ sk_c9) != (X3))
% 0.59/0.89 | ((inverse @ X4) != (sk_c9)))),
% 0.59/0.89 inference('eq_res', [status(thm)], [zip_derived_cl743])).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(zip_derived_cl751, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/0.89 (((identity) != (identity))
% 0.59/0.89 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X1) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((multiply @ sk_c9 @ X3) != (sk_c9))
% 0.59/0.89 | ((multiply @ X4 @ sk_c9) != (X3))
% 0.59/0.89 | ((inverse @ X4) != (sk_c9)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl750, zip_derived_cl1])).
% 0.59/0.89 thf(zip_derived_cl752, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/0.89 (((inverse @ X4) != (sk_c9))
% 0.59/0.89 | ((multiply @ X4 @ sk_c9) != (X3))
% 0.59/0.89 | ((multiply @ sk_c9 @ X3) != (sk_c9))
% 0.59/0.89 | ((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X1) != (sk_c9))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (identity))
% 0.59/0.89 | ((multiply @ X0 @ sk_c9) != (sk_c9)))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl751])).
% 0.59/0.89 thf(zip_derived_cl753, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/0.89 (((X0) != (sk_c9))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((multiply @ X3 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X3) != (sk_c9))
% 0.59/0.89 | ((multiply @ sk_c9 @ X4) != (sk_c9))
% 0.59/0.89 | ((multiply @ (inverse @ X0) @ sk_c9) != (X4)))),
% 0.59/0.89 inference('sup-', [status(thm)], [zip_derived_cl354, zip_derived_cl752])).
% 0.59/0.89 thf(zip_derived_cl760, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.89 (((multiply @ (inverse @ sk_c9) @ sk_c9) != (X0))
% 0.59/0.89 | ((multiply @ sk_c9 @ X0) != (sk_c9))
% 0.59/0.89 | ((inverse @ X1) != (sk_c9))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((multiply @ X3 @ sk_c9) != (sk_c9)))),
% 0.59/0.89 inference('eq_res', [status(thm)], [zip_derived_cl753])).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(zip_derived_cl761, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.89 (((identity) != (X0))
% 0.59/0.89 | ((multiply @ sk_c9 @ X0) != (sk_c9))
% 0.59/0.89 | ((inverse @ X1) != (sk_c9))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((multiply @ X3 @ sk_c9) != (sk_c9)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl760, zip_derived_cl1])).
% 0.59/0.89 thf(zip_derived_cl762, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.89 (((multiply @ X0 @ sk_c9) != (sk_c9))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X1) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((multiply @ sk_c9 @ identity) != (sk_c9)))),
% 0.59/0.89 inference('eq_res', [status(thm)], [zip_derived_cl761])).
% 0.59/0.89 thf(zip_derived_cl320, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.89 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl73])).
% 0.59/0.89 thf(zip_derived_cl763, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.89 (((multiply @ X0 @ sk_c9) != (sk_c9))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X1) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((sk_c9) != (sk_c9)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl762, zip_derived_cl320])).
% 0.59/0.89 thf(zip_derived_cl764, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.89 (((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X1) != (sk_c9))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (identity))
% 0.59/0.89 | ((multiply @ X0 @ sk_c9) != (sk_c9)))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl763])).
% 0.59/0.89 thf(zip_derived_cl844, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.89 (((X0) != (sk_c9))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (sk_c9))
% 0.59/0.89 | ((multiply @ X2 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X2) != (sk_c9))
% 0.59/0.89 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity)))),
% 0.59/0.89 inference('sup-', [status(thm)], [zip_derived_cl354, zip_derived_cl764])).
% 0.59/0.89 thf(zip_derived_cl853, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i]:
% 0.59/0.89 (((multiply @ (inverse @ sk_c9) @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X0) != (sk_c9))
% 0.59/0.89 | ((multiply @ X0 @ sk_c9) != (identity))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (sk_c9)))),
% 0.59/0.89 inference('eq_res', [status(thm)], [zip_derived_cl844])).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(zip_derived_cl854, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i]:
% 0.59/0.89 (((identity) != (identity))
% 0.59/0.89 | ((inverse @ X0) != (sk_c9))
% 0.59/0.89 | ((multiply @ X0 @ sk_c9) != (identity))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (sk_c9)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl853, zip_derived_cl1])).
% 0.59/0.89 thf(zip_derived_cl855, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i]:
% 0.59/0.89 (((multiply @ X1 @ sk_c9) != (sk_c9))
% 0.59/0.89 | ((multiply @ X0 @ sk_c9) != (identity))
% 0.59/0.89 | ((inverse @ X0) != (sk_c9)))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl854])).
% 0.59/0.89 thf(zip_derived_cl856, plain,
% 0.59/0.89 (![X0 : $i, X1 : $i]:
% 0.59/0.89 (((X0) != (sk_c9))
% 0.59/0.89 | ((multiply @ (inverse @ X0) @ sk_c9) != (identity))
% 0.59/0.89 | ((multiply @ X1 @ sk_c9) != (sk_c9)))),
% 0.59/0.89 inference('sup-', [status(thm)], [zip_derived_cl354, zip_derived_cl855])).
% 0.59/0.89 thf(zip_derived_cl865, plain,
% 0.59/0.89 (![X0 : $i]:
% 0.59/0.89 (((multiply @ X0 @ sk_c9) != (sk_c9))
% 0.59/0.89 | ((multiply @ (inverse @ sk_c9) @ sk_c9) != (identity)))),
% 0.59/0.89 inference('eq_res', [status(thm)], [zip_derived_cl856])).
% 0.59/0.89 thf(zip_derived_cl1, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.89 thf(zip_derived_cl866, plain,
% 0.59/0.89 (![X0 : $i]:
% 0.59/0.89 (((multiply @ X0 @ sk_c9) != (sk_c9)) | ((identity) != (identity)))),
% 0.59/0.89 inference('demod', [status(thm)], [zip_derived_cl865, zip_derived_cl1])).
% 0.59/0.89 thf(zip_derived_cl867, plain,
% 0.59/0.89 (![X0 : $i]: ((multiply @ X0 @ sk_c9) != (sk_c9))),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl866])).
% 0.59/0.89 thf(zip_derived_cl869, plain, (((sk_c9) != (sk_c9))),
% 0.59/0.89 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl867])).
% 0.59/0.89 thf(zip_derived_cl872, plain, ($false),
% 0.59/0.89 inference('simplify', [status(thm)], [zip_derived_cl869])).
% 0.59/0.89
% 0.59/0.89 % SZS output end Refutation
% 0.59/0.89
% 0.59/0.89
% 0.59/0.89 % Terminating...
% 1.43/1.04 % Runner terminated.
% 1.43/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------