TSTP Solution File: GRP220-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP220-1 : 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.lwUkK9yapo 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 01:50:46 EDT 2023
% Result : Unsatisfiable 0.95s 1.34s
% Output : Refutation 0.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP220-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lwUkK9yapo true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:34:49 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.90/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.90/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.90/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.90/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.90/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.90/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.90/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.95/1.34 % Solved by fo/fo7.sh.
% 0.95/1.34 % done 1420 iterations in 0.549s
% 0.95/1.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.95/1.34 % SZS output start Refutation
% 0.95/1.34 thf(sk_c11_type, type, sk_c11: $i).
% 0.95/1.34 thf(sk_c2_type, type, sk_c2: $i).
% 0.95/1.34 thf(sk_c10_type, type, sk_c10: $i).
% 0.95/1.34 thf(sk_c7_type, type, sk_c7: $i).
% 0.95/1.34 thf(identity_type, type, identity: $i).
% 0.95/1.34 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.95/1.34 thf(sk_c12_type, type, sk_c12: $i).
% 0.95/1.34 thf(sk_c5_type, type, sk_c5: $i).
% 0.95/1.34 thf(inverse_type, type, inverse: $i > $i).
% 0.95/1.34 thf(sk_c3_type, type, sk_c3: $i).
% 0.95/1.34 thf(sk_c1_type, type, sk_c1: $i).
% 0.95/1.34 thf(sk_c4_type, type, sk_c4: $i).
% 0.95/1.34 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.95/1.34 thf(zip_derived_cl0, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_identity])).
% 0.95/1.34 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.95/1.34 thf(zip_derived_cl1, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 0.95/1.34 thf(associativity, axiom,
% 0.95/1.34 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.95/1.34 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.95/1.34 thf(zip_derived_cl2, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.95/1.34 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.95/1.34 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.95/1.34 inference('cnf', [status(esa)], [associativity])).
% 0.95/1.34 thf(zip_derived_cl295, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i]:
% 0.95/1.34 ((multiply @ identity @ X0)
% 0.95/1.34 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.95/1.34 thf(zip_derived_cl0, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_identity])).
% 0.95/1.34 thf(zip_derived_cl340, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i]:
% 0.95/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl295, zip_derived_cl0])).
% 0.95/1.34 thf(zip_derived_cl353, plain,
% 0.95/1.34 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl340])).
% 0.95/1.34 thf(zip_derived_cl340, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i]:
% 0.95/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl295, zip_derived_cl0])).
% 0.95/1.34 thf(zip_derived_cl416, plain,
% 0.95/1.34 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl353, zip_derived_cl340])).
% 0.95/1.34 thf(zip_derived_cl1, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 0.95/1.34 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.34 thf(prove_this_73, conjecture,
% 0.95/1.34 (~( ( ( multiply @ X4 @ X2 ) != ( X5 ) ) |
% 0.95/1.34 ( ( inverse @ X5 ) != ( X2 ) ) | ( ( inverse @ X4 ) != ( X5 ) ) |
% 0.95/1.34 ( ( multiply @ X2 @ sk_c11 ) != ( sk_c12 ) ) |
% 0.95/1.34 ( ( inverse @ X3 ) != ( X2 ) ) |
% 0.95/1.34 ( ( multiply @ X3 @ X2 ) != ( sk_c12 ) ) |
% 0.95/1.34 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c12 ) ) |
% 0.95/1.34 ( ( inverse @ X1 ) != ( sk_c12 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c12 ) != ( sk_c11 ) ) |
% 0.95/1.34 ( ( inverse @ X10 ) != ( sk_c12 ) ) |
% 0.95/1.34 ( ( multiply @ X10 @ sk_c12 ) != ( X9 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c12 @ X9 ) != ( sk_c11 ) ) |
% 0.95/1.34 ( ( multiply @ X8 @ sk_c12 ) != ( sk_c11 ) ) |
% 0.95/1.34 ( ( inverse @ X7 ) != ( X8 ) ) |
% 0.95/1.34 ( ( multiply @ X7 @ X8 ) != ( sk_c11 ) ) |
% 0.95/1.34 ( ( multiply @ X6 @ sk_c11 ) != ( sk_c12 ) ) |
% 0.95/1.34 ( ( inverse @ X6 ) != ( sk_c12 ) ) ))).
% 0.95/1.34 thf(zf_stmt_0, negated_conjecture,
% 0.95/1.34 (( ( multiply @ X4 @ X2 ) != ( X5 ) ) | ( ( inverse @ X5 ) != ( X2 ) ) |
% 0.95/1.34 ( ( inverse @ X4 ) != ( X5 ) ) |
% 0.95/1.34 ( ( multiply @ X2 @ sk_c11 ) != ( sk_c12 ) ) |
% 0.95/1.34 ( ( inverse @ X3 ) != ( X2 ) ) |
% 0.95/1.34 ( ( multiply @ X3 @ X2 ) != ( sk_c12 ) ) |
% 0.95/1.34 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c12 ) ) |
% 0.95/1.34 ( ( inverse @ X1 ) != ( sk_c12 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c12 ) != ( sk_c11 ) ) |
% 0.95/1.34 ( ( inverse @ X10 ) != ( sk_c12 ) ) |
% 0.95/1.34 ( ( multiply @ X10 @ sk_c12 ) != ( X9 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c12 @ X9 ) != ( sk_c11 ) ) |
% 0.95/1.34 ( ( multiply @ X8 @ sk_c12 ) != ( sk_c11 ) ) |
% 0.95/1.34 ( ( inverse @ X7 ) != ( X8 ) ) |
% 0.95/1.34 ( ( multiply @ X7 @ X8 ) != ( sk_c11 ) ) |
% 0.95/1.34 ( ( multiply @ X6 @ sk_c11 ) != ( sk_c12 ) ) |
% 0.95/1.34 ( ( inverse @ X6 ) != ( sk_c12 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_73])).
% 0.95/1.34 thf(zip_derived_cl75, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.95/1.34 X7 : $i, X8 : $i, X9 : $i]:
% 0.95/1.34 (((multiply @ X1 @ X2) != (X0))
% 0.95/1.34 | ((inverse @ X0) != (X2))
% 0.95/1.34 | ((inverse @ X1) != (X0))
% 0.95/1.34 | ((multiply @ X2 @ sk_c11) != (sk_c12))
% 0.95/1.34 | ((inverse @ X3) != (X2))
% 0.95/1.34 | ((multiply @ X3 @ X2) != (sk_c12))
% 0.95/1.34 | ((multiply @ X4 @ sk_c11) != (sk_c12))
% 0.95/1.34 | ((inverse @ X4) != (sk_c12))
% 0.95/1.34 | ((inverse @ sk_c12) != (sk_c11))
% 0.95/1.34 | ((inverse @ X5) != (sk_c12))
% 0.95/1.34 | ((multiply @ X5 @ sk_c12) != (X6))
% 0.95/1.34 | ((multiply @ sk_c12 @ X6) != (sk_c11))
% 0.95/1.34 | ((multiply @ X7 @ sk_c12) != (sk_c11))
% 0.95/1.34 | ((inverse @ X8) != (X7))
% 0.95/1.34 | ((multiply @ X8 @ X7) != (sk_c11))
% 0.95/1.34 | ((multiply @ X9 @ sk_c11) != (sk_c12))
% 0.95/1.34 | ((inverse @ X9) != (sk_c12)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.95/1.34 thf(zip_derived_cl76, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.95/1.34 X7 : $i, X8 : $i, X9 : $i]:
% 0.95/1.34 (((multiply @ X1 @ X2) != (X0))
% 0.95/1.34 | ((inverse @ X0) != (X2))
% 0.95/1.34 | ((inverse @ X1) != (X0))
% 0.95/1.34 | ((multiply @ X2 @ (inverse @ sk_c12)) != (sk_c12))
% 0.95/1.34 | ((inverse @ X3) != (X2))
% 0.95/1.34 | ((multiply @ X3 @ X2) != (sk_c12))
% 0.95/1.34 | ((multiply @ X4 @ (inverse @ sk_c12)) != (sk_c12))
% 0.95/1.34 | ((inverse @ X4) != (sk_c12))
% 0.95/1.34 | ((inverse @ sk_c12) != (sk_c11))
% 0.95/1.34 | ((inverse @ X5) != (sk_c12))
% 0.95/1.34 | ((multiply @ X5 @ sk_c12) != (X6))
% 0.95/1.34 | ((multiply @ sk_c12 @ X6) != (inverse @ sk_c12))
% 0.95/1.34 | ((multiply @ X7 @ sk_c12) != (inverse @ sk_c12))
% 0.95/1.34 | ((inverse @ X8) != (X7))
% 0.95/1.34 | ((multiply @ X8 @ X7) != (inverse @ sk_c12))
% 0.95/1.34 | ((multiply @ X9 @ (inverse @ sk_c12)) != (sk_c12))
% 0.95/1.34 | ((inverse @ X9) != (sk_c12)))),
% 0.95/1.34 inference('local_rewriting', [status(thm)], [zip_derived_cl75])).
% 0.95/1.34 thf(prove_this_5, conjecture,
% 0.95/1.34 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c1 ) = ( sk_c12 ) ) ))).
% 0.95/1.34 thf(zf_stmt_1, negated_conjecture,
% 0.95/1.34 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c1 ) = ( sk_c12 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.95/1.34 thf(zip_derived_cl7, plain,
% 0.95/1.34 ((((inverse @ sk_c7) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c12)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.95/1.34 thf(prove_this_4, conjecture,
% 0.95/1.34 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c12 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c1 ) = ( sk_c12 ) ) ))).
% 0.95/1.34 thf(zf_stmt_2, negated_conjecture,
% 0.95/1.34 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c12 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c1 ) = ( sk_c12 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.95/1.34 thf(zip_derived_cl6, plain,
% 0.95/1.34 ((((multiply @ sk_c7 @ sk_c10) = (sk_c12))
% 0.95/1.34 | ((inverse @ sk_c1) = (sk_c12)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.95/1.34 thf(zip_derived_cl102, plain,
% 0.95/1.34 ((((multiply @ sk_c7 @ (inverse @ sk_c7)) = (sk_c12))
% 0.95/1.34 | ((inverse @ sk_c1) = (sk_c12))
% 0.95/1.34 | ((inverse @ sk_c1) = (sk_c12)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 0.95/1.34 thf(zip_derived_cl104, plain,
% 0.95/1.34 ((((inverse @ sk_c1) = (sk_c12))
% 0.95/1.34 | ((multiply @ sk_c7 @ (inverse @ sk_c7)) = (sk_c12)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl102])).
% 0.95/1.34 thf(zip_derived_cl1, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 0.95/1.34 thf(zip_derived_cl340, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i]:
% 0.95/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl295, zip_derived_cl0])).
% 0.95/1.34 thf(zip_derived_cl354, plain,
% 0.95/1.34 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl340])).
% 0.95/1.34 thf(zip_derived_cl340, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i]:
% 0.95/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl295, zip_derived_cl0])).
% 0.95/1.34 thf(zip_derived_cl340, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i]:
% 0.95/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl295, zip_derived_cl0])).
% 0.95/1.34 thf(zip_derived_cl351, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i]:
% 0.95/1.34 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl340, zip_derived_cl340])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl354, plain,
% 0.95/1.34 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl340])).
% 0.95/1.34 thf(zip_derived_cl1342, plain,
% 0.95/1.34 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1292, zip_derived_cl354])).
% 0.95/1.34 thf(zip_derived_cl1, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 0.95/1.34 thf(zip_derived_cl1355, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1342, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl1776, plain,
% 0.95/1.34 ((((inverse @ sk_c1) = (sk_c12)) | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl1355])).
% 0.95/1.34 thf(zip_derived_cl1776, plain,
% 0.95/1.34 ((((inverse @ sk_c1) = (sk_c12)) | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl1355])).
% 0.95/1.34 thf(prove_this_28, conjecture,
% 0.95/1.34 (~( ( ( inverse @ sk_c12 ) = ( sk_c11 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 0.95/1.34 thf(zf_stmt_3, negated_conjecture,
% 0.95/1.34 (( ( inverse @ sk_c12 ) = ( sk_c11 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 0.95/1.34 thf(zip_derived_cl30, plain,
% 0.95/1.34 ((((inverse @ sk_c12) = (sk_c11)) | ((inverse @ sk_c2) = (sk_c3)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.95/1.34 thf(prove_this_19, conjecture,
% 0.95/1.34 (~( ( ( inverse @ sk_c12 ) = ( sk_c11 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c11 ) ) ))).
% 0.95/1.34 thf(zf_stmt_4, negated_conjecture,
% 0.95/1.34 (( ( inverse @ sk_c12 ) = ( sk_c11 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c11 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.95/1.34 thf(zip_derived_cl21, plain,
% 0.95/1.34 ((((inverse @ sk_c12) = (sk_c11))
% 0.95/1.34 | ((multiply @ sk_c2 @ sk_c3) = (sk_c11)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.95/1.34 thf(zip_derived_cl121, plain,
% 0.95/1.34 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c11))
% 0.95/1.34 | ((inverse @ sk_c12) = (sk_c11))
% 0.95/1.34 | ((inverse @ sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl21])).
% 0.95/1.34 thf(zip_derived_cl130, plain,
% 0.95/1.34 ((((inverse @ sk_c12) = (sk_c11))
% 0.95/1.34 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c11)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 0.95/1.34 thf(zip_derived_cl1355, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1342, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl5820, plain,
% 0.95/1.34 ((((inverse @ sk_c12) = (sk_c11)) | ((identity) = (sk_c11)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl1355])).
% 0.95/1.34 thf(prove_this_68, conjecture,
% 0.95/1.34 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c4 ) = ( sk_c12 ) ) ))).
% 0.95/1.34 thf(zf_stmt_5, negated_conjecture,
% 0.95/1.34 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c4 ) = ( sk_c12 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_68])).
% 0.95/1.34 thf(zip_derived_cl70, plain,
% 0.95/1.34 ((((inverse @ sk_c7) = (sk_c10)) | ((inverse @ sk_c4) = (sk_c12)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.95/1.34 thf(zip_derived_cl1, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 0.95/1.34 thf(zip_derived_cl89, plain,
% 0.95/1.34 ((((multiply @ sk_c12 @ sk_c4) = (identity))
% 0.95/1.34 | ((inverse @ sk_c7) = (sk_c10)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl340, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i]:
% 0.95/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl295, zip_derived_cl0])).
% 0.95/1.34 thf(zip_derived_cl367, plain,
% 0.95/1.34 ((((sk_c4) = (multiply @ (inverse @ sk_c12) @ identity))
% 0.95/1.34 | ((inverse @ sk_c7) = (sk_c10)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl340])).
% 0.95/1.34 thf(prove_this_59, conjecture,
% 0.95/1.34 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c5 ) ) ))).
% 0.95/1.34 thf(zf_stmt_6, negated_conjecture,
% 0.95/1.34 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c5 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_59])).
% 0.95/1.34 thf(zip_derived_cl61, plain,
% 0.95/1.34 ((((inverse @ sk_c7) = (sk_c10))
% 0.95/1.34 | ((multiply @ sk_c4 @ sk_c12) = (sk_c5)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.95/1.34 thf(zip_derived_cl521, plain,
% 0.95/1.34 ((((multiply @ (multiply @ (inverse @ sk_c12) @ identity) @ sk_c12)
% 0.95/1.34 = (sk_c5))
% 0.95/1.34 | ((inverse @ sk_c7) = (sk_c10))
% 0.95/1.34 | ((inverse @ sk_c7) = (sk_c10)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl367, zip_derived_cl61])).
% 0.95/1.34 thf(zip_derived_cl2, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.95/1.34 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.95/1.34 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.95/1.34 inference('cnf', [status(esa)], [associativity])).
% 0.95/1.34 thf(zip_derived_cl0, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_identity])).
% 0.95/1.34 thf(zip_derived_cl1, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 0.95/1.34 thf(zip_derived_cl542, plain,
% 0.95/1.34 ((((identity) = (sk_c5))
% 0.95/1.34 | ((inverse @ sk_c7) = (sk_c10))
% 0.95/1.34 | ((inverse @ sk_c7) = (sk_c10)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl521, zip_derived_cl2, zip_derived_cl0,
% 0.95/1.34 zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl543, plain,
% 0.95/1.34 ((((inverse @ sk_c7) = (sk_c10)) | ((identity) = (sk_c5)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl542])).
% 0.95/1.34 thf(prove_this_50, conjecture,
% 0.95/1.34 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c12 @ sk_c5 ) = ( sk_c11 ) ) ))).
% 0.95/1.34 thf(zf_stmt_7, negated_conjecture,
% 0.95/1.34 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c12 @ sk_c5 ) = ( sk_c11 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_50])).
% 0.95/1.34 thf(zip_derived_cl52, plain,
% 0.95/1.34 ((((inverse @ sk_c7) = (sk_c10))
% 0.95/1.34 | ((multiply @ sk_c12 @ sk_c5) = (sk_c11)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.95/1.34 thf(zip_derived_cl553, plain,
% 0.95/1.34 ((((multiply @ sk_c12 @ identity) = (sk_c11))
% 0.95/1.34 | ((inverse @ sk_c7) = (sk_c10))
% 0.95/1.34 | ((inverse @ sk_c7) = (sk_c10)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl52])).
% 0.95/1.34 thf(zip_derived_cl562, plain,
% 0.95/1.34 ((((inverse @ sk_c7) = (sk_c10))
% 0.95/1.34 | ((multiply @ sk_c12 @ identity) = (sk_c11)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl553])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl1326, plain,
% 0.95/1.34 ((((inverse @ sk_c7) = (sk_c10)) | ((sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl562, zip_derived_cl1292])).
% 0.95/1.34 thf(prove_this_67, conjecture,
% 0.95/1.34 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c12 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c4 ) = ( sk_c12 ) ) ))).
% 0.95/1.34 thf(zf_stmt_8, negated_conjecture,
% 0.95/1.34 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c12 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c4 ) = ( sk_c12 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_67])).
% 0.95/1.34 thf(zip_derived_cl69, plain,
% 0.95/1.34 ((((multiply @ sk_c7 @ sk_c10) = (sk_c12))
% 0.95/1.34 | ((inverse @ sk_c4) = (sk_c12)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.95/1.34 thf(zip_derived_cl1342, plain,
% 0.95/1.34 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1292, zip_derived_cl354])).
% 0.95/1.34 thf(zip_derived_cl1374, plain,
% 0.95/1.34 ((((sk_c4) = (inverse @ sk_c12))
% 0.95/1.34 | ((multiply @ sk_c7 @ sk_c10) = (sk_c12)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl1342])).
% 0.95/1.34 thf(prove_this_58, conjecture,
% 0.95/1.34 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c12 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c5 ) ) ))).
% 0.95/1.34 thf(zf_stmt_9, negated_conjecture,
% 0.95/1.34 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c12 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c5 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_58])).
% 0.95/1.34 thf(zip_derived_cl60, plain,
% 0.95/1.34 ((((multiply @ sk_c7 @ sk_c10) = (sk_c12))
% 0.95/1.34 | ((multiply @ sk_c4 @ sk_c12) = (sk_c5)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.95/1.34 thf(zip_derived_cl1987, plain,
% 0.95/1.34 ((((multiply @ (inverse @ sk_c12) @ sk_c12) = (sk_c5))
% 0.95/1.34 | ((multiply @ sk_c7 @ sk_c10) = (sk_c12))
% 0.95/1.34 | ((multiply @ sk_c7 @ sk_c10) = (sk_c12)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1374, zip_derived_cl60])).
% 0.95/1.34 thf(zip_derived_cl1, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 0.95/1.34 thf(zip_derived_cl2011, plain,
% 0.95/1.34 ((((identity) = (sk_c5))
% 0.95/1.34 | ((multiply @ sk_c7 @ sk_c10) = (sk_c12))
% 0.95/1.34 | ((multiply @ sk_c7 @ sk_c10) = (sk_c12)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl1987, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl2012, plain,
% 0.95/1.34 ((((multiply @ sk_c7 @ sk_c10) = (sk_c12)) | ((identity) = (sk_c5)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl2011])).
% 0.95/1.34 thf(prove_this_49, conjecture,
% 0.95/1.34 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c12 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c12 @ sk_c5 ) = ( sk_c11 ) ) ))).
% 0.95/1.34 thf(zf_stmt_10, negated_conjecture,
% 0.95/1.34 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c12 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c12 @ sk_c5 ) = ( sk_c11 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_49])).
% 0.95/1.34 thf(zip_derived_cl51, plain,
% 0.95/1.34 ((((multiply @ sk_c7 @ sk_c10) = (sk_c12))
% 0.95/1.34 | ((multiply @ sk_c12 @ sk_c5) = (sk_c11)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.95/1.34 thf(zip_derived_cl2037, plain,
% 0.95/1.34 ((((multiply @ sk_c12 @ identity) = (sk_c11))
% 0.95/1.34 | ((multiply @ sk_c7 @ sk_c10) = (sk_c12))
% 0.95/1.34 | ((multiply @ sk_c7 @ sk_c10) = (sk_c12)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl2012, zip_derived_cl51])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl2052, plain,
% 0.95/1.34 ((((sk_c12) = (sk_c11))
% 0.95/1.34 | ((multiply @ sk_c7 @ sk_c10) = (sk_c12))
% 0.95/1.34 | ((multiply @ sk_c7 @ sk_c10) = (sk_c12)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl2037, zip_derived_cl1292])).
% 0.95/1.34 thf(zip_derived_cl2053, plain,
% 0.95/1.34 ((((multiply @ sk_c7 @ sk_c10) = (sk_c12)) | ((sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl2052])).
% 0.95/1.34 thf(zip_derived_cl2329, plain,
% 0.95/1.34 ((((multiply @ sk_c7 @ (inverse @ sk_c7)) = (sk_c12))
% 0.95/1.34 | ((sk_c12) = (sk_c11))
% 0.95/1.34 | ((sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1326, zip_derived_cl2053])).
% 0.95/1.34 thf(zip_derived_cl1355, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1342, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl2333, plain,
% 0.95/1.34 ((((identity) = (sk_c12)) | ((sk_c12) = (sk_c11)) | ((sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl2329, zip_derived_cl1355])).
% 0.95/1.34 thf(zip_derived_cl2334, plain,
% 0.95/1.34 ((((sk_c12) = (sk_c11)) | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl2333])).
% 0.95/1.34 thf(zip_derived_cl5834, plain,
% 0.95/1.34 ((((sk_c12) = (inverse @ sk_c12))
% 0.95/1.34 | ((identity) = (sk_c11))
% 0.95/1.34 | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl5820, zip_derived_cl2334])).
% 0.95/1.34 thf(zip_derived_cl2334, plain,
% 0.95/1.34 ((((sk_c12) = (sk_c11)) | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl2333])).
% 0.95/1.34 thf(zip_derived_cl5860, plain,
% 0.95/1.34 ((((sk_c12) = (identity))
% 0.95/1.34 | ((identity) = (sk_c12))
% 0.95/1.34 | ((sk_c12) = (inverse @ sk_c12))
% 0.95/1.34 | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl5834, zip_derived_cl2334])).
% 0.95/1.34 thf(zip_derived_cl5875, plain,
% 0.95/1.34 ((((sk_c12) = (inverse @ sk_c12)) | ((sk_c12) = (identity)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl5860])).
% 0.95/1.34 thf(zip_derived_cl5891, plain,
% 0.95/1.34 ((((sk_c12) = (inverse @ (inverse @ sk_c1)))
% 0.95/1.34 | ((identity) = (sk_c12))
% 0.95/1.34 | ((sk_c12) = (identity)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1776, zip_derived_cl5875])).
% 0.95/1.34 thf(zip_derived_cl1342, plain,
% 0.95/1.34 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1292, zip_derived_cl354])).
% 0.95/1.34 thf(zip_derived_cl5892, plain,
% 0.95/1.34 ((((sk_c12) = (sk_c1))
% 0.95/1.34 | ((identity) = (sk_c12))
% 0.95/1.34 | ((sk_c12) = (identity)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl5891, zip_derived_cl1342])).
% 0.95/1.34 thf(zip_derived_cl5893, plain,
% 0.95/1.34 ((((identity) = (sk_c12)) | ((sk_c12) = (sk_c1)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl5892])).
% 0.95/1.34 thf(prove_this_64, conjecture,
% 0.95/1.34 (~( ( ( inverse @ sk_c12 ) = ( sk_c11 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c4 ) = ( sk_c12 ) ) ))).
% 0.95/1.34 thf(zf_stmt_11, negated_conjecture,
% 0.95/1.34 (( ( inverse @ sk_c12 ) = ( sk_c11 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c4 ) = ( sk_c12 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_64])).
% 0.95/1.34 thf(zip_derived_cl66, plain,
% 0.95/1.34 ((((inverse @ sk_c12) = (sk_c11)) | ((inverse @ sk_c4) = (sk_c12)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.95/1.34 thf(zip_derived_cl1, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 0.95/1.34 thf(zip_derived_cl87, plain,
% 0.95/1.34 ((((multiply @ sk_c12 @ sk_c4) = (identity))
% 0.95/1.34 | ((inverse @ sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl340, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i]:
% 0.95/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl295, zip_derived_cl0])).
% 0.95/1.34 thf(zip_derived_cl365, plain,
% 0.95/1.34 ((((sk_c4) = (multiply @ (inverse @ sk_c12) @ identity))
% 0.95/1.34 | ((inverse @ sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl340])).
% 0.95/1.34 thf(prove_this_55, conjecture,
% 0.95/1.34 (~( ( ( inverse @ sk_c12 ) = ( sk_c11 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c5 ) ) ))).
% 0.95/1.34 thf(zf_stmt_12, negated_conjecture,
% 0.95/1.34 (( ( inverse @ sk_c12 ) = ( sk_c11 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c4 @ sk_c12 ) = ( sk_c5 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_55])).
% 0.95/1.34 thf(zip_derived_cl57, plain,
% 0.95/1.34 ((((inverse @ sk_c12) = (sk_c11))
% 0.95/1.34 | ((multiply @ sk_c4 @ sk_c12) = (sk_c5)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.95/1.34 thf(zip_derived_cl569, plain,
% 0.95/1.34 ((((multiply @ (multiply @ (inverse @ sk_c12) @ identity) @ sk_c12)
% 0.95/1.34 = (sk_c5))
% 0.95/1.34 | ((inverse @ sk_c12) = (sk_c11))
% 0.95/1.34 | ((inverse @ sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl365, zip_derived_cl57])).
% 0.95/1.34 thf(zip_derived_cl2, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.95/1.34 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.95/1.34 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.95/1.34 inference('cnf', [status(esa)], [associativity])).
% 0.95/1.34 thf(zip_derived_cl0, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_identity])).
% 0.95/1.34 thf(zip_derived_cl1, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 0.95/1.34 thf(zip_derived_cl590, plain,
% 0.95/1.34 ((((identity) = (sk_c5))
% 0.95/1.34 | ((inverse @ sk_c12) = (sk_c11))
% 0.95/1.34 | ((inverse @ sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl569, zip_derived_cl2, zip_derived_cl0,
% 0.95/1.34 zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl591, plain,
% 0.95/1.34 ((((inverse @ sk_c12) = (sk_c11)) | ((identity) = (sk_c5)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl590])).
% 0.95/1.34 thf(prove_this_46, conjecture,
% 0.95/1.34 (~( ( ( inverse @ sk_c12 ) = ( sk_c11 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c12 @ sk_c5 ) = ( sk_c11 ) ) ))).
% 0.95/1.34 thf(zf_stmt_13, negated_conjecture,
% 0.95/1.34 (( ( inverse @ sk_c12 ) = ( sk_c11 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c12 @ sk_c5 ) = ( sk_c11 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_46])).
% 0.95/1.34 thf(zip_derived_cl48, plain,
% 0.95/1.34 ((((inverse @ sk_c12) = (sk_c11))
% 0.95/1.34 | ((multiply @ sk_c12 @ sk_c5) = (sk_c11)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.95/1.34 thf(zip_derived_cl599, plain,
% 0.95/1.34 ((((multiply @ sk_c12 @ identity) = (sk_c11))
% 0.95/1.34 | ((inverse @ sk_c12) = (sk_c11))
% 0.95/1.34 | ((inverse @ sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl591, zip_derived_cl48])).
% 0.95/1.34 thf(zip_derived_cl612, plain,
% 0.95/1.34 ((((inverse @ sk_c12) = (sk_c11))
% 0.95/1.34 | ((multiply @ sk_c12 @ identity) = (sk_c11)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl599])).
% 0.95/1.34 thf(zip_derived_cl620, plain,
% 0.95/1.34 ((((inverse @ sk_c12) != (multiply @ sk_c12 @ identity))
% 0.95/1.34 | ((multiply @ sk_c12 @ identity) = (sk_c11)))),
% 0.95/1.34 inference('eq_fact', [status(thm)], [zip_derived_cl612])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl1328, plain,
% 0.95/1.34 ((((inverse @ sk_c12) != (sk_c12)) | ((sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl620, zip_derived_cl1292, zip_derived_cl1292])).
% 0.95/1.34 thf(zip_derived_cl5940, plain,
% 0.95/1.34 ((((inverse @ sk_c1) != (sk_c12))
% 0.95/1.34 | ((identity) = (sk_c12))
% 0.95/1.34 | ((sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('sup-', [status(thm)], [zip_derived_cl5893, zip_derived_cl1328])).
% 0.95/1.34 thf(zip_derived_cl5973, plain,
% 0.95/1.34 ((((inverse @ sk_c1) != (sk_c12))
% 0.95/1.34 | ((identity) = (inverse @ sk_c1))
% 0.95/1.34 | ((inverse @ sk_c1) = (sk_c11)))),
% 0.95/1.34 inference('local_rewriting', [status(thm)], [zip_derived_cl5940])).
% 0.95/1.34 thf(zip_derived_cl5991, plain,
% 0.95/1.34 ((((inverse @ sk_c1) != (inverse @ sk_c1))
% 0.95/1.34 | ((identity) = (sk_c12))
% 0.95/1.34 | ((inverse @ sk_c1) = (sk_c11))
% 0.95/1.34 | ((identity) = (inverse @ sk_c1)))),
% 0.95/1.34 inference('sup-', [status(thm)], [zip_derived_cl1776, zip_derived_cl5973])).
% 0.95/1.34 thf(zip_derived_cl5993, plain,
% 0.95/1.34 ((((identity) = (inverse @ sk_c1))
% 0.95/1.34 | ((inverse @ sk_c1) = (sk_c11))
% 0.95/1.34 | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl5991])).
% 0.95/1.34 thf(zip_derived_cl1776, plain,
% 0.95/1.34 ((((inverse @ sk_c1) = (sk_c12)) | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl1355])).
% 0.95/1.34 thf(zip_derived_cl1843, plain,
% 0.95/1.34 ((((inverse @ sk_c1) != (identity)) | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('eq_fact', [status(thm)], [zip_derived_cl1776])).
% 0.95/1.34 thf(zip_derived_cl6821, plain,
% 0.95/1.34 ((((identity) = (sk_c12)) | ((inverse @ sk_c1) = (sk_c11)))),
% 0.95/1.34 inference('clc', [status(thm)], [zip_derived_cl5993, zip_derived_cl1843])).
% 0.95/1.34 thf(prove_this_32, conjecture,
% 0.95/1.34 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.95/1.34 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 0.95/1.34 thf(zf_stmt_14, negated_conjecture,
% 0.95/1.34 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 0.95/1.34 thf(zip_derived_cl34, plain,
% 0.95/1.34 ((((inverse @ sk_c7) = (sk_c10)) | ((inverse @ sk_c2) = (sk_c3)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.95/1.34 thf(prove_this_23, conjecture,
% 0.95/1.34 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c11 ) ) ))).
% 0.95/1.34 thf(zf_stmt_15, negated_conjecture,
% 0.95/1.34 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c11 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.95/1.34 thf(zip_derived_cl25, plain,
% 0.95/1.34 ((((inverse @ sk_c7) = (sk_c10))
% 0.95/1.34 | ((multiply @ sk_c2 @ sk_c3) = (sk_c11)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.95/1.34 thf(zip_derived_cl135, plain,
% 0.95/1.34 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c11))
% 0.95/1.34 | ((inverse @ sk_c7) = (sk_c10))
% 0.95/1.34 | ((inverse @ sk_c7) = (sk_c10)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl25])).
% 0.95/1.34 thf(zip_derived_cl140, plain,
% 0.95/1.34 ((((inverse @ sk_c7) = (sk_c10))
% 0.95/1.34 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c11)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl135])).
% 0.95/1.34 thf(zip_derived_cl1355, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1342, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl9119, plain,
% 0.95/1.34 ((((inverse @ sk_c7) = (sk_c10)) | ((identity) = (sk_c11)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl1355])).
% 0.95/1.34 thf(prove_this_13, conjecture,
% 0.95/1.34 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c12 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c12 ) ) ))).
% 0.95/1.34 thf(zf_stmt_16, negated_conjecture,
% 0.95/1.34 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c12 ) ) |
% 0.95/1.34 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c12 ) )),
% 0.95/1.34 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.95/1.34 thf(zip_derived_cl15, plain,
% 0.95/1.34 ((((multiply @ sk_c7 @ sk_c10) = (sk_c12))
% 0.95/1.34 | ((multiply @ sk_c1 @ sk_c11) = (sk_c12)))),
% 0.95/1.34 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.95/1.34 thf(zip_derived_cl9122, plain,
% 0.95/1.34 ((((multiply @ sk_c7 @ (inverse @ sk_c7)) = (sk_c12))
% 0.95/1.34 | ((identity) = (sk_c11))
% 0.95/1.34 | ((multiply @ sk_c1 @ sk_c11) = (sk_c12)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl9119, zip_derived_cl15])).
% 0.95/1.34 thf(zip_derived_cl1355, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1342, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl9184, plain,
% 0.95/1.34 ((((identity) = (sk_c12))
% 0.95/1.34 | ((identity) = (sk_c11))
% 0.95/1.34 | ((multiply @ sk_c1 @ sk_c11) = (sk_c12)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl9122, zip_derived_cl1355])).
% 0.95/1.34 thf(zip_derived_cl9225, plain,
% 0.95/1.34 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c12))
% 0.95/1.34 | ((identity) = (sk_c12))
% 0.95/1.34 | ((identity) = (sk_c11))
% 0.95/1.34 | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl6821, zip_derived_cl9184])).
% 0.95/1.34 thf(zip_derived_cl1355, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl1342, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl9235, plain,
% 0.95/1.34 ((((identity) = (sk_c12))
% 0.95/1.34 | ((identity) = (sk_c12))
% 0.95/1.34 | ((identity) = (sk_c11))
% 0.95/1.34 | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl9225, zip_derived_cl1355])).
% 0.95/1.34 thf(zip_derived_cl9236, plain,
% 0.95/1.34 ((((identity) = (sk_c11)) | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9235])).
% 0.95/1.34 thf(zip_derived_cl2334, plain,
% 0.95/1.34 ((((sk_c12) = (sk_c11)) | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl2333])).
% 0.95/1.34 thf(zip_derived_cl9255, plain,
% 0.95/1.34 ((((sk_c12) = (identity))
% 0.95/1.34 | ((identity) = (sk_c12))
% 0.95/1.34 | ((identity) = (sk_c12)))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl9236, zip_derived_cl2334])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl0, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.95/1.34 inference('cnf', [status(esa)], [left_identity])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl9348, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.95/1.34 X7 : $i, X8 : $i, X9 : $i]:
% 0.95/1.34 (((multiply @ X1 @ X2) != (X0))
% 0.95/1.34 | ((inverse @ X0) != (X2))
% 0.95/1.34 | ((inverse @ X1) != (X0))
% 0.95/1.34 | ((X2) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (X2))
% 0.95/1.34 | ((multiply @ X3 @ X2) != (identity))
% 0.95/1.34 | ((X4) != (identity))
% 0.95/1.34 | ((inverse @ X4) != (identity))
% 0.95/1.34 | ((identity) != (sk_c11))
% 0.95/1.34 | ((inverse @ X5) != (identity))
% 0.95/1.34 | ((X5) != (X6))
% 0.95/1.34 | ((X6) != (identity))
% 0.95/1.34 | ((X7) != (identity))
% 0.95/1.34 | ((inverse @ X8) != (X7))
% 0.95/1.34 | ((multiply @ X8 @ X7) != (identity))
% 0.95/1.34 | ((X9) != (identity))
% 0.95/1.34 | ((inverse @ X9) != (identity)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl76, zip_derived_cl9275, zip_derived_cl1236,
% 0.95/1.34 zip_derived_cl1292, zip_derived_cl9275, zip_derived_cl9275,
% 0.95/1.34 zip_derived_cl9275, zip_derived_cl1236, zip_derived_cl1292,
% 0.95/1.34 zip_derived_cl9275, zip_derived_cl9275, zip_derived_cl9275,
% 0.95/1.34 zip_derived_cl1236, zip_derived_cl9275, zip_derived_cl9275,
% 0.95/1.34 zip_derived_cl1292, zip_derived_cl9275, zip_derived_cl0,
% 0.95/1.34 zip_derived_cl9275, zip_derived_cl1236, zip_derived_cl9275,
% 0.95/1.34 zip_derived_cl1292, zip_derived_cl9275, zip_derived_cl1236,
% 0.95/1.34 zip_derived_cl9275, zip_derived_cl1236, zip_derived_cl9275,
% 0.95/1.34 zip_derived_cl1236, zip_derived_cl1292, zip_derived_cl9275,
% 0.95/1.34 zip_derived_cl9275])).
% 0.95/1.34 thf(zip_derived_cl612, plain,
% 0.95/1.34 ((((inverse @ sk_c12) = (sk_c11))
% 0.95/1.34 | ((multiply @ sk_c12 @ identity) = (sk_c11)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl599])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl1327, plain,
% 0.95/1.34 ((((inverse @ sk_c12) = (sk_c11)) | ((sk_c12) = (sk_c11)))),
% 0.95/1.34 inference('demod', [status(thm)], [zip_derived_cl612, zip_derived_cl1292])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl9275, plain, (((sk_c12) = (identity))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9255])).
% 0.95/1.34 thf(zip_derived_cl9416, plain,
% 0.95/1.34 ((((identity) = (sk_c11)) | ((identity) = (sk_c11)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl1327, zip_derived_cl9275, zip_derived_cl1236,
% 0.95/1.34 zip_derived_cl9275])).
% 0.95/1.34 thf(zip_derived_cl9417, plain, (((identity) = (sk_c11))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9416])).
% 0.95/1.34 thf(zip_derived_cl9589, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.95/1.34 X7 : $i, X8 : $i, X9 : $i]:
% 0.95/1.34 (((multiply @ X1 @ X2) != (X0))
% 0.95/1.34 | ((inverse @ X0) != (X2))
% 0.95/1.34 | ((inverse @ X1) != (X0))
% 0.95/1.34 | ((X2) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (X2))
% 0.95/1.34 | ((multiply @ X3 @ X2) != (identity))
% 0.95/1.34 | ((X4) != (identity))
% 0.95/1.34 | ((inverse @ X4) != (identity))
% 0.95/1.34 | ((identity) != (identity))
% 0.95/1.34 | ((inverse @ X5) != (identity))
% 0.95/1.34 | ((X5) != (X6))
% 0.95/1.34 | ((X6) != (identity))
% 0.95/1.34 | ((X7) != (identity))
% 0.95/1.34 | ((inverse @ X8) != (X7))
% 0.95/1.34 | ((multiply @ X8 @ X7) != (identity))
% 0.95/1.34 | ((X9) != (identity))
% 0.95/1.34 | ((inverse @ X9) != (identity)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl9348, zip_derived_cl9417])).
% 0.95/1.34 thf(zip_derived_cl9590, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.95/1.34 X7 : $i, X8 : $i, X9 : $i]:
% 0.95/1.34 (((inverse @ X9) != (identity))
% 0.95/1.34 | ((X9) != (identity))
% 0.95/1.34 | ((multiply @ X8 @ X7) != (identity))
% 0.95/1.34 | ((inverse @ X8) != (X7))
% 0.95/1.34 | ((X7) != (identity))
% 0.95/1.34 | ((X6) != (identity))
% 0.95/1.34 | ((X5) != (X6))
% 0.95/1.34 | ((inverse @ X5) != (identity))
% 0.95/1.34 | ((inverse @ X4) != (identity))
% 0.95/1.34 | ((X4) != (identity))
% 0.95/1.34 | ((multiply @ X3 @ X2) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (X2))
% 0.95/1.34 | ((X2) != (identity))
% 0.95/1.34 | ((inverse @ X1) != (X0))
% 0.95/1.34 | ((inverse @ X0) != (X2))
% 0.95/1.34 | ((multiply @ X1 @ X2) != (X0)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9589])).
% 0.95/1.34 thf(zip_derived_cl9591, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.95/1.34 X7 : $i, X8 : $i]:
% 0.95/1.34 (((multiply @ X1 @ X0) != (X2))
% 0.95/1.34 | ((inverse @ X2) != (X0))
% 0.95/1.34 | ((inverse @ X1) != (X2))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (X0))
% 0.95/1.34 | ((multiply @ X3 @ X0) != (identity))
% 0.95/1.34 | ((X4) != (identity))
% 0.95/1.34 | ((inverse @ X4) != (identity))
% 0.95/1.34 | ((inverse @ X5) != (identity))
% 0.95/1.34 | ((X5) != (identity))
% 0.95/1.34 | ((X6) != (identity))
% 0.95/1.34 | ((inverse @ X7) != (X6))
% 0.95/1.34 | ((multiply @ X7 @ X6) != (identity))
% 0.95/1.34 | ((X8) != (identity))
% 0.95/1.34 | ((inverse @ X8) != (identity)))),
% 0.95/1.34 inference('eq_res', [status(thm)], [zip_derived_cl9590])).
% 0.95/1.34 thf(zip_derived_cl9592, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.95/1.34 (((inverse @ X0) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((multiply @ X2 @ X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X1))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((X3) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (identity))
% 0.95/1.34 | ((inverse @ X4) != (identity))
% 0.95/1.34 | ((X4) != (identity))
% 0.95/1.34 | ((multiply @ X5 @ identity) != (identity))
% 0.95/1.34 | ((inverse @ X5) != (identity))
% 0.95/1.34 | ((inverse @ X6) != (X7))
% 0.95/1.34 | ((inverse @ X7) != (identity))
% 0.95/1.34 | ((multiply @ X6 @ identity) != (X7)))),
% 0.95/1.34 inference('eq_res', [status(thm)], [zip_derived_cl9591])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl9593, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.95/1.34 (((inverse @ X0) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((multiply @ X2 @ X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X1))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((X3) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (identity))
% 0.95/1.34 | ((inverse @ X4) != (identity))
% 0.95/1.34 | ((X4) != (identity))
% 0.95/1.34 | ((X5) != (identity))
% 0.95/1.34 | ((inverse @ X5) != (identity))
% 0.95/1.34 | ((inverse @ X6) != (X7))
% 0.95/1.34 | ((inverse @ X7) != (identity))
% 0.95/1.34 | ((X6) != (X7)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl9592, zip_derived_cl1292, zip_derived_cl1292])).
% 0.95/1.34 thf(zip_derived_cl9594, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.95/1.34 (((inverse @ X0) != (identity))
% 0.95/1.34 | ((inverse @ X0) != (X0))
% 0.95/1.34 | ((inverse @ X1) != (identity))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((X2) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (identity))
% 0.95/1.34 | ((X3) != (identity))
% 0.95/1.34 | ((X4) != (identity))
% 0.95/1.34 | ((inverse @ X5) != (X4))
% 0.95/1.34 | ((multiply @ X5 @ X4) != (identity))
% 0.95/1.34 | ((X6) != (identity))
% 0.95/1.34 | ((inverse @ X6) != (identity)))),
% 0.95/1.34 inference('eq_res', [status(thm)], [zip_derived_cl9593])).
% 0.95/1.34 thf(zip_derived_cl9595, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.95/1.34 (((inverse @ X0) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((multiply @ X2 @ X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X1))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((X3) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (identity))
% 0.95/1.34 | ((inverse @ X4) != (identity))
% 0.95/1.34 | ((X4) != (identity))
% 0.95/1.34 | ((inverse @ identity) != (identity))
% 0.95/1.34 | ((inverse @ X5) != (X5))
% 0.95/1.34 | ((inverse @ X5) != (identity)))),
% 0.95/1.34 inference('eq_res', [status(thm)], [zip_derived_cl9594])).
% 0.95/1.34 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl9596, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.95/1.34 (((inverse @ X0) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((multiply @ X2 @ X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X1))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((X3) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (identity))
% 0.95/1.34 | ((inverse @ X4) != (identity))
% 0.95/1.34 | ((X4) != (identity))
% 0.95/1.34 | ((identity) != (identity))
% 0.95/1.34 | ((inverse @ X5) != (X5))
% 0.95/1.34 | ((inverse @ X5) != (identity)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl9595, zip_derived_cl1236])).
% 0.95/1.34 thf(zip_derived_cl9597, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.95/1.34 (((inverse @ X5) != (identity))
% 0.95/1.34 | ((inverse @ X5) != (X5))
% 0.95/1.34 | ((X4) != (identity))
% 0.95/1.34 | ((inverse @ X4) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (identity))
% 0.95/1.34 | ((X3) != (identity))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X1))
% 0.95/1.34 | ((multiply @ X2 @ X1) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((inverse @ X0) != (identity)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9596])).
% 0.95/1.34 thf(zip_derived_cl9598, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.95/1.34 (((inverse @ X0) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((multiply @ X2 @ X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X1))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((X3) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (identity))
% 0.95/1.34 | ((inverse @ identity) != (identity))
% 0.95/1.34 | ((inverse @ X4) != (X4))
% 0.95/1.34 | ((inverse @ X4) != (identity)))),
% 0.95/1.34 inference('eq_res', [status(thm)], [zip_derived_cl9597])).
% 0.95/1.34 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl9599, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.95/1.34 (((inverse @ X0) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((multiply @ X2 @ X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X1))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((X3) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (identity))
% 0.95/1.34 | ((identity) != (identity))
% 0.95/1.34 | ((inverse @ X4) != (X4))
% 0.95/1.34 | ((inverse @ X4) != (identity)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl9598, zip_derived_cl1236])).
% 0.95/1.34 thf(zip_derived_cl9600, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.95/1.34 (((inverse @ X4) != (identity))
% 0.95/1.34 | ((inverse @ X4) != (X4))
% 0.95/1.34 | ((inverse @ X3) != (identity))
% 0.95/1.34 | ((X3) != (identity))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X1))
% 0.95/1.34 | ((multiply @ X2 @ X1) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((inverse @ X0) != (identity)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9599])).
% 0.95/1.34 thf(zip_derived_cl9632, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.95/1.34 (((inverse @ X0) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((multiply @ X2 @ X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X1))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((inverse @ identity) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (X3))
% 0.95/1.34 | ((inverse @ X3) != (identity)))),
% 0.95/1.34 inference('eq_res', [status(thm)], [zip_derived_cl9600])).
% 0.95/1.34 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.34 thf(zip_derived_cl9633, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.95/1.34 (((inverse @ X0) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((multiply @ X2 @ X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X1))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((identity) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (X3))
% 0.95/1.34 | ((inverse @ X3) != (identity)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl9632, zip_derived_cl1236])).
% 0.95/1.34 thf(zip_derived_cl9634, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.95/1.34 (((inverse @ X3) != (identity))
% 0.95/1.34 | ((inverse @ X3) != (X3))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X1))
% 0.95/1.34 | ((multiply @ X2 @ X1) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((inverse @ X0) != (identity)))),
% 0.95/1.34 inference('simplify', [status(thm)], [zip_derived_cl9633])).
% 0.95/1.34 thf(zip_derived_cl9635, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.95/1.34 (((inverse @ X0) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((multiply @ X1 @ identity) != (identity))
% 0.95/1.34 | ((inverse @ X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X2))
% 0.95/1.34 | ((inverse @ X2) != (identity)))),
% 0.95/1.34 inference('eq_res', [status(thm)], [zip_derived_cl9634])).
% 0.95/1.34 thf(zip_derived_cl1292, plain,
% 0.95/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.95/1.34 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl351])).
% 0.95/1.34 thf(zip_derived_cl9636, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.95/1.34 (((inverse @ X0) != (identity))
% 0.95/1.34 | ((X0) != (identity))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((inverse @ X1) != (identity))
% 0.95/1.34 | ((inverse @ X2) != (X2))
% 0.95/1.34 | ((inverse @ X2) != (identity)))),
% 0.95/1.34 inference('demod', [status(thm)],
% 0.95/1.34 [zip_derived_cl9635, zip_derived_cl1292])).
% 0.95/1.34 thf(zip_derived_cl9637, plain,
% 0.95/1.34 (![X0 : $i, X1 : $i]:
% 0.95/1.34 (((inverse @ X0) != (identity))
% 0.95/1.34 | ((inverse @ X0) != (X0))
% 0.95/1.34 | ((inverse @ X1) != (identity))
% 0.95/1.34 | ((X1) != (identity))
% 0.95/1.34 | ((inverse @ identity) != (identity)))),
% 0.95/1.35 inference('eq_res', [status(thm)], [zip_derived_cl9636])).
% 0.95/1.35 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.35 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.35 thf(zip_derived_cl9638, plain,
% 0.95/1.35 (![X0 : $i, X1 : $i]:
% 0.95/1.35 (((inverse @ X0) != (identity))
% 0.95/1.35 | ((inverse @ X0) != (X0))
% 0.95/1.35 | ((inverse @ X1) != (identity))
% 0.95/1.35 | ((X1) != (identity))
% 0.95/1.35 | ((identity) != (identity)))),
% 0.95/1.35 inference('demod', [status(thm)],
% 0.95/1.35 [zip_derived_cl9637, zip_derived_cl1236])).
% 0.95/1.35 thf(zip_derived_cl9639, plain,
% 0.95/1.35 (![X0 : $i, X1 : $i]:
% 0.95/1.35 (((X1) != (identity))
% 0.95/1.35 | ((inverse @ X1) != (identity))
% 0.95/1.35 | ((inverse @ X0) != (X0))
% 0.95/1.35 | ((inverse @ X0) != (identity)))),
% 0.95/1.35 inference('simplify', [status(thm)], [zip_derived_cl9638])).
% 0.95/1.35 thf(zip_derived_cl9640, plain,
% 0.95/1.35 (![X0 : $i]:
% 0.95/1.35 (((inverse @ X0) != (identity))
% 0.95/1.35 | ((inverse @ X0) != (X0))
% 0.95/1.35 | ((inverse @ identity) != (identity)))),
% 0.95/1.35 inference('eq_res', [status(thm)], [zip_derived_cl9639])).
% 0.95/1.35 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.35 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.35 thf(zip_derived_cl9641, plain,
% 0.95/1.35 (![X0 : $i]:
% 0.95/1.35 (((inverse @ X0) != (identity))
% 0.95/1.35 | ((inverse @ X0) != (X0))
% 0.95/1.35 | ((identity) != (identity)))),
% 0.95/1.35 inference('demod', [status(thm)],
% 0.95/1.35 [zip_derived_cl9640, zip_derived_cl1236])).
% 0.95/1.35 thf(zip_derived_cl9642, plain,
% 0.95/1.35 (![X0 : $i]: (((inverse @ X0) != (X0)) | ((inverse @ X0) != (identity)))),
% 0.95/1.35 inference('simplify', [status(thm)], [zip_derived_cl9641])).
% 0.95/1.35 thf(zip_derived_cl9643, plain,
% 0.95/1.35 ((((identity) != (identity)) | ((inverse @ identity) != (identity)))),
% 0.95/1.35 inference('sup-', [status(thm)], [zip_derived_cl1236, zip_derived_cl9642])).
% 0.95/1.35 thf(zip_derived_cl1236, plain, (((inverse @ identity) = (identity))),
% 0.95/1.35 inference('sup+', [status(thm)], [zip_derived_cl416, zip_derived_cl1])).
% 0.95/1.35 thf(zip_derived_cl9645, plain,
% 0.95/1.35 ((((identity) != (identity)) | ((identity) != (identity)))),
% 0.95/1.35 inference('demod', [status(thm)],
% 0.95/1.35 [zip_derived_cl9643, zip_derived_cl1236])).
% 0.95/1.35 thf(zip_derived_cl9646, plain, ($false),
% 0.95/1.35 inference('simplify', [status(thm)], [zip_derived_cl9645])).
% 0.95/1.35
% 0.95/1.35 % SZS output end Refutation
% 0.95/1.35
% 0.95/1.35
% 0.95/1.35 % Terminating...
% 5.82/1.46 % Runner terminated.
% 5.82/1.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------