TSTP Solution File: GRP370-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP370-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KzhlYhwJUs true
% Computer : n022.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 01:51:23 EDT 2023
% Result : Unsatisfiable 0.57s 0.92s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP370-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KzhlYhwJUs true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:02:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.92 % Solved by fo/fo7.sh.
% 0.57/0.92 % done 482 iterations in 0.137s
% 0.57/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.92 % SZS output start Refutation
% 0.57/0.92 thf(sk_c5_type, type, sk_c5: $i).
% 0.57/0.92 thf(sk_c9_type, type, sk_c9: $i).
% 0.57/0.92 thf(sk_c2_type, type, sk_c2: $i).
% 0.57/0.92 thf(sk_c6_type, type, sk_c6: $i).
% 0.57/0.92 thf(sk_c4_type, type, sk_c4: $i).
% 0.57/0.92 thf(identity_type, type, identity: $i).
% 0.57/0.92 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.57/0.92 thf(sk_c8_type, type, sk_c8: $i).
% 0.57/0.92 thf(inverse_type, type, inverse: $i > $i).
% 0.57/0.92 thf(sk_c1_type, type, sk_c1: $i).
% 0.57/0.92 thf(sk_c7_type, type, sk_c7: $i).
% 0.57/0.92 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.57/0.92 thf(zip_derived_cl1, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.92 thf(zip_derived_cl1, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.92 thf(associativity, axiom,
% 0.57/0.92 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.57/0.92 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.57/0.92 thf(zip_derived_cl2, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.92 thf(zip_derived_cl112, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 ((multiply @ identity @ X0)
% 0.57/0.92 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.57/0.92 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.57/0.92 thf(zip_derived_cl0, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.92 thf(zip_derived_cl130, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 0.57/0.92 thf(zip_derived_cl139, plain,
% 0.57/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl130])).
% 0.57/0.92 thf(zip_derived_cl130, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 0.57/0.92 thf(zip_derived_cl130, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 0.57/0.92 thf(zip_derived_cl136, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl130])).
% 0.57/0.92 thf(zip_derived_cl529, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl136])).
% 0.57/0.92 thf(zip_derived_cl139, plain,
% 0.57/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl130])).
% 0.57/0.92 thf(zip_derived_cl544, plain,
% 0.57/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl529, zip_derived_cl139])).
% 0.57/0.92 thf(zip_derived_cl544, plain,
% 0.57/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl529, zip_derived_cl139])).
% 0.57/0.92 thf(zip_derived_cl544, plain,
% 0.57/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl529, zip_derived_cl139])).
% 0.57/0.92 thf(prove_this_29, conjecture,
% 0.57/0.92 (~( ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 0.57/0.92 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c7 ) ) |
% 0.57/0.92 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.57/0.92 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.57/0.92 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 0.57/0.92 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 0.57/0.92 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.57/0.92 ( ( inverse @ X3 ) != ( X4 ) ) |
% 0.57/0.92 ( ( multiply @ X3 @ X4 ) != ( sk_c8 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c9 ) ) ))).
% 0.57/0.92 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.92 (( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 0.57/0.92 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c7 ) ) |
% 0.57/0.92 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 0.57/0.92 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.57/0.92 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 0.57/0.92 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 0.57/0.92 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.57/0.92 ( ( inverse @ X3 ) != ( X4 ) ) |
% 0.57/0.92 ( ( multiply @ X3 @ X4 ) != ( sk_c8 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c9 ) )),
% 0.57/0.92 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 0.57/0.92 thf(zip_derived_cl31, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.92 (((inverse @ X0) != (sk_c9))
% 0.57/0.92 | ((multiply @ X0 @ sk_c9) != (X1))
% 0.57/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c7))
% 0.57/0.92 | ((inverse @ X2) != (sk_c7))
% 0.57/0.92 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.57/0.92 | ((inverse @ X3) != (sk_c9))
% 0.57/0.92 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 0.57/0.92 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 0.57/0.92 | ((inverse @ X5) != (X4))
% 0.57/0.92 | ((multiply @ X5 @ X4) != (sk_c8))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) != (sk_c9)))),
% 0.57/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.92 thf(zip_derived_cl32, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.92 (((inverse @ X0) != (multiply @ sk_c7 @ sk_c8))
% 0.57/0.92 | ((multiply @ X0 @ (multiply @ sk_c7 @ sk_c8)) != (X1))
% 0.57/0.92 | ((multiply @ (multiply @ sk_c7 @ sk_c8) @ X1) != (sk_c7))
% 0.57/0.92 | ((inverse @ X2) != (sk_c7))
% 0.57/0.92 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.57/0.92 | ((inverse @ X3) != (multiply @ sk_c7 @ sk_c8))
% 0.57/0.92 | ((multiply @ X3 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c8))
% 0.57/0.92 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 0.57/0.92 | ((inverse @ X5) != (X4))
% 0.57/0.92 | ((multiply @ X5 @ X4) != (sk_c8))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) != (sk_c9)))),
% 0.57/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl31])).
% 0.57/0.92 thf(zip_derived_cl2, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.92 thf(zip_derived_cl108, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.92 (((inverse @ X0) != (multiply @ sk_c7 @ sk_c8))
% 0.57/0.92 | ((multiply @ X0 @ (multiply @ sk_c7 @ sk_c8)) != (X1))
% 0.57/0.92 | ((multiply @ sk_c7 @ (multiply @ sk_c8 @ X1)) != (sk_c7))
% 0.57/0.92 | ((inverse @ X2) != (sk_c7))
% 0.57/0.92 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.57/0.92 | ((inverse @ X3) != (multiply @ sk_c7 @ sk_c8))
% 0.57/0.92 | ((multiply @ X3 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c8))
% 0.57/0.92 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 0.57/0.92 | ((inverse @ X5) != (X4))
% 0.57/0.92 | ((multiply @ X5 @ X4) != (sk_c8))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) != (sk_c9)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl2])).
% 0.57/0.92 thf(prove_this_20, conjecture,
% 0.57/0.92 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.57/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 0.57/0.92 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.92 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.57/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 0.57/0.92 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.57/0.92 thf(zip_derived_cl22, plain,
% 0.57/0.92 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c2)))),
% 0.57/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.92 thf(prove_this_13, conjecture,
% 0.57/0.92 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.57/0.92 thf(zf_stmt_2, negated_conjecture,
% 0.57/0.92 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 0.57/0.92 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.57/0.92 thf(zip_derived_cl15, plain,
% 0.57/0.92 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 0.57/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 0.57/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.92 thf(zip_derived_cl97, plain,
% 0.57/0.92 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 0.57/0.92 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 0.57/0.92 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl15])).
% 0.57/0.92 thf(zip_derived_cl99, plain,
% 0.57/0.92 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 0.57/0.92 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl97])).
% 0.57/0.92 thf(zip_derived_cl544, plain,
% 0.57/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl529, zip_derived_cl139])).
% 0.57/0.92 thf(zip_derived_cl1, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.92 thf(zip_derived_cl550, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1])).
% 0.57/0.92 thf(zip_derived_cl1692, plain,
% 0.57/0.92 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6)) | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl550])).
% 0.57/0.92 thf(zip_derived_cl130, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 0.57/0.92 thf(zip_derived_cl1694, plain,
% 0.57/0.92 ((((sk_c9) = (multiply @ (inverse @ sk_c5) @ sk_c6))
% 0.57/0.92 | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl1692, zip_derived_cl130])).
% 0.57/0.92 thf(prove_this_19, conjecture,
% 0.57/0.92 (~( ( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 0.57/0.92 thf(zf_stmt_3, negated_conjecture,
% 0.57/0.92 (( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 0.57/0.92 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.57/0.92 thf(zip_derived_cl21, plain,
% 0.57/0.92 ((((multiply @ sk_c9 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c2)))),
% 0.57/0.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.92 thf(prove_this_12, conjecture,
% 0.57/0.92 (~( ( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.57/0.92 thf(zf_stmt_4, negated_conjecture,
% 0.57/0.92 (( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 0.57/0.92 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.57/0.92 thf(zip_derived_cl14, plain,
% 0.57/0.92 ((((multiply @ sk_c9 @ sk_c6) = (sk_c7))
% 0.57/0.92 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 0.57/0.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.92 thf(zip_derived_cl88, plain,
% 0.57/0.92 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 0.57/0.92 | ((multiply @ sk_c9 @ sk_c6) = (sk_c7))
% 0.57/0.92 | ((multiply @ sk_c9 @ sk_c6) = (sk_c7)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl14])).
% 0.57/0.92 thf(zip_derived_cl91, plain,
% 0.57/0.92 ((((multiply @ sk_c9 @ sk_c6) = (sk_c7))
% 0.57/0.92 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl88])).
% 0.57/0.92 thf(zip_derived_cl550, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1])).
% 0.57/0.92 thf(zip_derived_cl1581, plain,
% 0.57/0.92 ((((multiply @ sk_c9 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl91, zip_derived_cl550])).
% 0.57/0.92 thf(prove_this_21, conjecture,
% 0.57/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 0.57/0.92 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 0.57/0.92 thf(zf_stmt_5, negated_conjecture,
% 0.57/0.92 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 0.57/0.92 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.57/0.92 thf(zip_derived_cl23, plain,
% 0.57/0.92 ((((inverse @ sk_c5) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c2)))),
% 0.57/0.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.92 thf(prove_this_14, conjecture,
% 0.57/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.57/0.92 thf(zf_stmt_6, negated_conjecture,
% 0.57/0.92 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 0.57/0.92 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.57/0.92 thf(zip_derived_cl16, plain,
% 0.57/0.92 ((((inverse @ sk_c5) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 0.57/0.92 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.92 thf(zip_derived_cl58, plain,
% 0.57/0.92 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 0.57/0.92 | ((inverse @ sk_c5) = (sk_c9))
% 0.57/0.92 | ((inverse @ sk_c5) = (sk_c9)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl16])).
% 0.57/0.92 thf(zip_derived_cl59, plain,
% 0.57/0.92 ((((inverse @ sk_c5) = (sk_c9))
% 0.57/0.92 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl58])).
% 0.57/0.92 thf(zip_derived_cl550, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1])).
% 0.57/0.92 thf(zip_derived_cl611, plain,
% 0.57/0.92 ((((inverse @ sk_c5) = (sk_c9)) | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl550])).
% 0.57/0.92 thf(zip_derived_cl550, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1])).
% 0.57/0.92 thf(zip_derived_cl652, plain,
% 0.57/0.92 ((((multiply @ sk_c5 @ sk_c9) = (identity)) | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl611, zip_derived_cl550])).
% 0.57/0.92 thf(zip_derived_cl2, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.92 thf(zip_derived_cl716, plain,
% 0.57/0.92 (![X0 : $i]:
% 0.57/0.92 (((multiply @ identity @ X0)
% 0.57/0.92 = (multiply @ sk_c5 @ (multiply @ sk_c9 @ X0)))
% 0.57/0.92 | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl652, zip_derived_cl2])).
% 0.57/0.92 thf(zip_derived_cl0, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.92 thf(zip_derived_cl725, plain,
% 0.57/0.92 (![X0 : $i]:
% 0.57/0.92 (((X0) = (multiply @ sk_c5 @ (multiply @ sk_c9 @ X0)))
% 0.57/0.92 | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl716, zip_derived_cl0])).
% 0.57/0.92 thf(zip_derived_cl1585, plain,
% 0.57/0.92 ((((sk_c6) = (multiply @ sk_c5 @ sk_c7))
% 0.57/0.92 | ((identity) = (sk_c8))
% 0.57/0.92 | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl1581, zip_derived_cl725])).
% 0.57/0.92 thf(zip_derived_cl1595, plain,
% 0.57/0.92 ((((identity) = (sk_c8)) | ((sk_c6) = (multiply @ sk_c5 @ sk_c7)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1585])).
% 0.57/0.92 thf(zip_derived_cl130, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 0.57/0.92 thf(zip_derived_cl1615, plain,
% 0.57/0.92 ((((sk_c7) = (multiply @ (inverse @ sk_c5) @ sk_c6))
% 0.57/0.92 | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl1595, zip_derived_cl130])).
% 0.57/0.92 thf(zip_derived_cl1733, plain,
% 0.57/0.92 ((((sk_c7) = (sk_c9)) | ((identity) = (sk_c8)) | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl1694, zip_derived_cl1615])).
% 0.57/0.92 thf(zip_derived_cl1760, plain,
% 0.57/0.92 ((((identity) = (sk_c8)) | ((sk_c7) = (sk_c9)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1733])).
% 0.57/0.92 thf(prove_this_4, conjecture,
% 0.57/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 0.57/0.92 thf(zf_stmt_7, negated_conjecture,
% 0.57/0.92 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) )),
% 0.57/0.92 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.57/0.92 thf(zip_derived_cl6, plain,
% 0.57/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 0.57/0.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/0.92 thf(zip_derived_cl1, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.92 thf(zip_derived_cl34, plain,
% 0.57/0.92 ((((multiply @ sk_c7 @ sk_c4) = (identity))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.57/0.92 thf(zip_derived_cl130, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 0.57/0.92 thf(zip_derived_cl141, plain,
% 0.57/0.92 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl130])).
% 0.57/0.92 thf(prove_this_3, conjecture,
% 0.57/0.92 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 0.57/0.92 thf(zf_stmt_8, negated_conjecture,
% 0.57/0.92 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) )),
% 0.57/0.92 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.57/0.92 thf(zip_derived_cl5, plain,
% 0.57/0.92 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 0.57/0.92 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/0.92 thf(zip_derived_cl164, plain,
% 0.57/0.92 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.57/0.92 = (sk_c8))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl5])).
% 0.57/0.92 thf(zip_derived_cl2, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.92 thf(zip_derived_cl0, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.92 thf(zip_derived_cl1, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.92 thf(zip_derived_cl167, plain,
% 0.57/0.92 ((((identity) = (sk_c8))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 0.57/0.92 inference('demod', [status(thm)],
% 0.57/0.92 [zip_derived_cl164, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.92 zip_derived_cl1])).
% 0.57/0.92 thf(zip_derived_cl168, plain,
% 0.57/0.92 ((((multiply @ sk_c7 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl167])).
% 0.57/0.92 thf(zip_derived_cl1767, plain,
% 0.57/0.92 ((((multiply @ sk_c7 @ sk_c8) = (sk_c7))
% 0.57/0.92 | ((identity) = (sk_c8))
% 0.57/0.92 | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl1760, zip_derived_cl168])).
% 0.57/0.92 thf(zip_derived_cl1791, plain,
% 0.57/0.92 ((((identity) = (sk_c8)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c7)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1767])).
% 0.57/0.92 thf(zip_derived_cl130, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 0.57/0.92 thf(zip_derived_cl1868, plain,
% 0.57/0.92 ((((sk_c8) = (multiply @ (inverse @ sk_c7) @ sk_c7))
% 0.57/0.92 | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl1791, zip_derived_cl130])).
% 0.57/0.92 thf(zip_derived_cl1, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.92 thf(zip_derived_cl1875, plain,
% 0.57/0.92 ((((sk_c8) = (identity)) | ((identity) = (sk_c8)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl1868, zip_derived_cl1])).
% 0.57/0.92 thf(zip_derived_cl1876, plain, (((sk_c8) = (identity))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1875])).
% 0.57/0.92 thf(zip_derived_cl529, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl136])).
% 0.57/0.92 thf(zip_derived_cl1876, plain, (((sk_c8) = (identity))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1875])).
% 0.57/0.92 thf(zip_derived_cl529, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl136])).
% 0.57/0.92 thf(zip_derived_cl1876, plain, (((sk_c8) = (identity))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1875])).
% 0.57/0.92 thf(zip_derived_cl0, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.92 thf(zip_derived_cl1876, plain, (((sk_c8) = (identity))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1875])).
% 0.57/0.92 thf(zip_derived_cl1876, plain, (((sk_c8) = (identity))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1875])).
% 0.57/0.92 thf(zip_derived_cl529, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl136])).
% 0.57/0.92 thf(zip_derived_cl1876, plain, (((sk_c8) = (identity))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1875])).
% 0.57/0.92 thf(zip_derived_cl529, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl136])).
% 0.57/0.92 thf(zip_derived_cl1876, plain, (((sk_c8) = (identity))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1875])).
% 0.57/0.92 thf(zip_derived_cl1876, plain, (((sk_c8) = (identity))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1875])).
% 0.57/0.92 thf(zip_derived_cl1876, plain, (((sk_c8) = (identity))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1875])).
% 0.57/0.92 thf(zip_derived_cl1876, plain, (((sk_c8) = (identity))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1875])).
% 0.57/0.92 thf(zip_derived_cl529, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl136])).
% 0.57/0.92 thf(zip_derived_cl1912, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.92 (((inverse @ X0) != (sk_c7))
% 0.57/0.92 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.57/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.57/0.92 | ((inverse @ X2) != (sk_c7))
% 0.57/0.92 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X3) != (sk_c7))
% 0.57/0.92 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ X4 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X5) != (X4))
% 0.57/0.92 | ((multiply @ X5 @ X4) != (identity))
% 0.57/0.92 | ((sk_c7) != (sk_c9)))),
% 0.57/0.92 inference('demod', [status(thm)],
% 0.57/0.92 [zip_derived_cl108, zip_derived_cl1876, zip_derived_cl529,
% 0.57/0.92 zip_derived_cl1876, zip_derived_cl529, zip_derived_cl1876,
% 0.57/0.92 zip_derived_cl0, zip_derived_cl1876, zip_derived_cl1876,
% 0.57/0.92 zip_derived_cl529, zip_derived_cl1876, zip_derived_cl529,
% 0.57/0.92 zip_derived_cl1876, zip_derived_cl1876, zip_derived_cl1876,
% 0.57/0.92 zip_derived_cl1876, zip_derived_cl529])).
% 0.57/0.92 thf(prove_this_7, conjecture,
% 0.57/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 0.57/0.92 thf(zf_stmt_9, negated_conjecture,
% 0.57/0.92 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) )),
% 0.57/0.92 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.57/0.92 thf(zip_derived_cl9, plain,
% 0.57/0.92 ((((inverse @ sk_c5) = (sk_c9)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 0.57/0.92 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.57/0.92 thf(prove_this_6, conjecture,
% 0.57/0.92 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 0.57/0.92 thf(zf_stmt_10, negated_conjecture,
% 0.57/0.92 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) )),
% 0.57/0.92 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.57/0.92 thf(zip_derived_cl8, plain,
% 0.57/0.92 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 0.57/0.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.57/0.92 thf(zip_derived_cl130, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 0.57/0.92 thf(zip_derived_cl147, plain,
% 0.57/0.92 ((((sk_c9) = (multiply @ (inverse @ sk_c5) @ sk_c6))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl130])).
% 0.57/0.92 thf(zip_derived_cl453, plain,
% 0.57/0.92 ((((sk_c9) = (multiply @ sk_c9 @ sk_c6))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl147])).
% 0.57/0.92 thf(zip_derived_cl457, plain,
% 0.57/0.92 ((((multiply @ sk_c7 @ sk_c8) = (sk_c9))
% 0.57/0.92 | ((sk_c9) = (multiply @ sk_c9 @ sk_c6)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl453])).
% 0.57/0.92 thf(prove_this_5, conjecture,
% 0.57/0.92 (~( ( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 0.57/0.92 thf(zf_stmt_11, negated_conjecture,
% 0.57/0.92 (( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.92 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) )),
% 0.57/0.92 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.57/0.92 thf(zip_derived_cl7, plain,
% 0.57/0.92 ((((multiply @ sk_c9 @ sk_c6) = (sk_c7))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 0.57/0.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.57/0.92 thf(zip_derived_cl497, plain,
% 0.57/0.92 ((((sk_c9) = (sk_c7))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9))
% 0.57/0.92 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl457, zip_derived_cl7])).
% 0.57/0.92 thf(zip_derived_cl504, plain,
% 0.57/0.92 ((((multiply @ sk_c7 @ sk_c8) = (sk_c9)) | ((sk_c9) = (sk_c7)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl497])).
% 0.57/0.92 thf(zip_derived_cl1876, plain, (((sk_c8) = (identity))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1875])).
% 0.57/0.92 thf(zip_derived_cl529, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl136])).
% 0.57/0.92 thf(zip_derived_cl1937, plain, ((((sk_c7) = (sk_c9)) | ((sk_c9) = (sk_c7)))),
% 0.57/0.92 inference('demod', [status(thm)],
% 0.57/0.92 [zip_derived_cl504, zip_derived_cl1876, zip_derived_cl529])).
% 0.57/0.92 thf(zip_derived_cl1938, plain, (((sk_c7) = (sk_c9))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1937])).
% 0.57/0.92 thf(zip_derived_cl1965, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.92 (((inverse @ X0) != (sk_c7))
% 0.57/0.92 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.57/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.57/0.92 | ((inverse @ X2) != (sk_c7))
% 0.57/0.92 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X3) != (sk_c7))
% 0.57/0.92 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ X4 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X5) != (X4))
% 0.57/0.92 | ((multiply @ X5 @ X4) != (identity))
% 0.57/0.92 | ((sk_c7) != (sk_c7)))),
% 0.57/0.92 inference('demod', [status(thm)],
% 0.57/0.92 [zip_derived_cl1912, zip_derived_cl1938])).
% 0.57/0.92 thf(zip_derived_cl1966, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.92 (((multiply @ X5 @ X4) != (identity))
% 0.57/0.92 | ((inverse @ X5) != (X4))
% 0.57/0.92 | ((multiply @ X4 @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X3) != (sk_c7))
% 0.57/0.92 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X2) != (sk_c7))
% 0.57/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.57/0.92 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.57/0.92 | ((inverse @ X0) != (sk_c7)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1965])).
% 0.57/0.92 thf(zip_derived_cl1969, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.92 (((inverse @ X0) != (sk_c7))
% 0.57/0.92 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.57/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.57/0.92 | ((inverse @ X2) != (sk_c7))
% 0.57/0.92 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X3) != (sk_c7))
% 0.57/0.92 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ (inverse @ X4) @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ X4 @ (inverse @ X4)) != (identity)))),
% 0.57/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1966])).
% 0.57/0.92 thf(zip_derived_cl550, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl1])).
% 0.57/0.92 thf(zip_derived_cl1970, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.92 (((inverse @ X0) != (sk_c7))
% 0.57/0.92 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.57/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.57/0.92 | ((inverse @ X2) != (sk_c7))
% 0.57/0.92 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X3) != (sk_c7))
% 0.57/0.92 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ (inverse @ X4) @ sk_c7) != (identity))
% 0.57/0.92 | ((identity) != (identity)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl1969, zip_derived_cl550])).
% 0.57/0.92 thf(zip_derived_cl1971, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.92 (((multiply @ (inverse @ X4) @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X3) != (sk_c7))
% 0.57/0.92 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X2) != (sk_c7))
% 0.57/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c7))
% 0.57/0.92 | ((multiply @ X0 @ sk_c7) != (X1))
% 0.57/0.92 | ((inverse @ X0) != (sk_c7)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1970])).
% 0.57/0.92 thf(zip_derived_cl1974, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.92 (((X0) != (sk_c7))
% 0.57/0.92 | ((inverse @ X1) != (sk_c7))
% 0.57/0.92 | ((multiply @ X1 @ sk_c7) != (X2))
% 0.57/0.92 | ((multiply @ sk_c7 @ X2) != (sk_c7))
% 0.57/0.92 | ((inverse @ X3) != (sk_c7))
% 0.57/0.92 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ (inverse @ X4) @ sk_c7) != (identity)))),
% 0.57/0.92 inference('sup-', [status(thm)], [zip_derived_cl544, zip_derived_cl1971])).
% 0.57/0.92 thf(zip_derived_cl1975, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.92 (((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ (inverse @ sk_c7) @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X1) != (sk_c7))
% 0.57/0.92 | ((multiply @ sk_c7 @ X2) != (sk_c7))
% 0.57/0.92 | ((multiply @ X3 @ sk_c7) != (X2))
% 0.57/0.92 | ((inverse @ X3) != (sk_c7)))),
% 0.57/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1974])).
% 0.57/0.92 thf(zip_derived_cl1, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.92 thf(zip_derived_cl1976, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.92 (((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 0.57/0.92 | ((identity) != (identity))
% 0.57/0.92 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X1) != (sk_c7))
% 0.57/0.92 | ((multiply @ sk_c7 @ X2) != (sk_c7))
% 0.57/0.92 | ((multiply @ X3 @ sk_c7) != (X2))
% 0.57/0.92 | ((inverse @ X3) != (sk_c7)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl1975, zip_derived_cl1])).
% 0.57/0.92 thf(zip_derived_cl1977, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.92 (((inverse @ X3) != (sk_c7))
% 0.57/0.92 | ((multiply @ X3 @ sk_c7) != (X2))
% 0.57/0.92 | ((multiply @ sk_c7 @ X2) != (sk_c7))
% 0.57/0.92 | ((inverse @ X1) != (sk_c7))
% 0.57/0.92 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl1976])).
% 0.57/0.92 thf(zip_derived_cl1978, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.92 (((X0) != (sk_c7))
% 0.57/0.92 | ((multiply @ (inverse @ X1) @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X2) != (sk_c7))
% 0.57/0.92 | ((multiply @ sk_c7 @ X3) != (sk_c7))
% 0.57/0.92 | ((multiply @ (inverse @ X0) @ sk_c7) != (X3)))),
% 0.57/0.92 inference('sup-', [status(thm)], [zip_derived_cl544, zip_derived_cl1977])).
% 0.57/0.92 thf(zip_derived_cl1979, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.92 (((multiply @ (inverse @ sk_c7) @ sk_c7) != (X0))
% 0.57/0.92 | ((multiply @ sk_c7 @ X0) != (sk_c7))
% 0.57/0.92 | ((inverse @ X1) != (sk_c7))
% 0.57/0.92 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ (inverse @ X2) @ sk_c7) != (identity)))),
% 0.57/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1978])).
% 0.57/0.92 thf(zip_derived_cl1, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.92 thf(zip_derived_cl1980, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.92 (((identity) != (X0))
% 0.57/0.92 | ((multiply @ sk_c7 @ X0) != (sk_c7))
% 0.57/0.92 | ((inverse @ X1) != (sk_c7))
% 0.57/0.92 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ (inverse @ X2) @ sk_c7) != (identity)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl1979, zip_derived_cl1])).
% 0.57/0.92 thf(zip_derived_cl2016, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 (((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X1) != (sk_c7))
% 0.57/0.92 | ((multiply @ sk_c7 @ identity) != (sk_c7)))),
% 0.57/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1980])).
% 0.57/0.92 thf(zip_derived_cl529, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.92 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl136])).
% 0.57/0.92 thf(zip_derived_cl2017, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 (((multiply @ (inverse @ X0) @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/0.92 | ((inverse @ X1) != (sk_c7))
% 0.57/0.92 | ((sk_c7) != (sk_c7)))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl2016, zip_derived_cl529])).
% 0.57/0.92 thf(zip_derived_cl2018, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 (((inverse @ X1) != (sk_c7))
% 0.57/0.92 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity)))),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl2017])).
% 0.57/0.92 thf(zip_derived_cl2019, plain,
% 0.57/0.92 (![X0 : $i, X1 : $i]:
% 0.57/0.92 (((X0) != (sk_c7))
% 0.57/0.92 | ((multiply @ (inverse @ X1) @ sk_c7) != (identity))
% 0.57/0.92 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity)))),
% 0.57/0.92 inference('sup-', [status(thm)], [zip_derived_cl544, zip_derived_cl2018])).
% 0.57/0.92 thf(zip_derived_cl2020, plain,
% 0.57/0.92 (![X0 : $i]:
% 0.57/0.92 (((X0) != (sk_c7))
% 0.57/0.92 | ((multiply @ (inverse @ X0) @ sk_c7) != (identity)))),
% 0.57/0.92 inference('condensation', [status(thm)], [zip_derived_cl2019])).
% 0.57/0.92 thf(zip_derived_cl2021, plain,
% 0.57/0.92 (((multiply @ (inverse @ sk_c7) @ sk_c7) != (identity))),
% 0.57/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2020])).
% 0.57/0.92 thf(zip_derived_cl1, plain,
% 0.57/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.92 thf(zip_derived_cl2022, plain, (((identity) != (identity))),
% 0.57/0.92 inference('demod', [status(thm)], [zip_derived_cl2021, zip_derived_cl1])).
% 0.57/0.92 thf(zip_derived_cl2023, plain, ($false),
% 0.57/0.92 inference('simplify', [status(thm)], [zip_derived_cl2022])).
% 0.57/0.92
% 0.57/0.92 % SZS output end Refutation
% 0.57/0.92
% 0.57/0.92
% 0.57/0.92 % Terminating...
% 0.57/0.97 % Runner terminated.
% 1.56/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------