TSTP Solution File: GRP218-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP218-1 : 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.Y2eIts8Z5G true
% Computer : n027.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 1.31s 0.93s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP218-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Y2eIts8Z5G true
% 0.16/0.35 % Computer : n027.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Mon Aug 28 23:34:37 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.93 % Solved by fo/fo7.sh.
% 1.31/0.93 % done 315 iterations in 0.137s
% 1.31/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/0.93 % SZS output start Refutation
% 1.31/0.93 thf(sk_c2_type, type, sk_c2: $i).
% 1.31/0.93 thf(sk_c6_type, type, sk_c6: $i).
% 1.31/0.93 thf(sk_c5_type, type, sk_c5: $i).
% 1.31/0.93 thf(sk_c7_type, type, sk_c7: $i).
% 1.31/0.93 thf(sk_c8_type, type, sk_c8: $i).
% 1.31/0.93 thf(identity_type, type, identity: $i).
% 1.31/0.93 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.31/0.93 thf(sk_c10_type, type, sk_c10: $i).
% 1.31/0.93 thf(inverse_type, type, inverse: $i > $i).
% 1.31/0.93 thf(sk_c9_type, type, sk_c9: $i).
% 1.31/0.93 thf(sk_c4_type, type, sk_c4: $i).
% 1.31/0.93 thf(sk_c3_type, type, sk_c3: $i).
% 1.31/0.93 thf(sk_c1_type, type, sk_c1: $i).
% 1.31/0.93 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(associativity, axiom,
% 1.31/0.93 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.31/0.93 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.31/0.93 thf(zip_derived_cl2, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.31/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.31/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.31/0.93 thf(zip_derived_cl95, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((multiply @ identity @ X0)
% 1.31/0.93 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.31/0.93 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.31/0.93 thf(zip_derived_cl0, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.31/0.93 thf(zip_derived_cl113, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 1.31/0.93 thf(zip_derived_cl123, plain,
% 1.31/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl113])).
% 1.31/0.93 thf(zip_derived_cl113, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 1.31/0.93 thf(zip_derived_cl113, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 1.31/0.93 thf(zip_derived_cl120, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl113])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl123, plain,
% 1.31/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl113])).
% 1.31/0.93 thf(zip_derived_cl454, plain,
% 1.31/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl428, zip_derived_cl123])).
% 1.31/0.93 thf(zip_derived_cl454, plain,
% 1.31/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl428, zip_derived_cl123])).
% 1.31/0.93 thf(prove_this_41, conjecture,
% 1.31/0.93 (~( ( ( inverse @ X3 ) != ( sk_c10 ) ) |
% 1.31/0.93 ( ( multiply @ X3 @ sk_c10 ) != ( X2 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c10 @ X2 ) != ( sk_c9 ) ) |
% 1.31/0.93 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ X8 ) != ( sk_c10 ) ) |
% 1.31/0.93 ( ( multiply @ X8 @ sk_c10 ) != ( X7 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c10 @ X7 ) != ( sk_c9 ) ) |
% 1.31/0.93 ( ( multiply @ X6 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.31/0.93 ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.31/0.93 ( ( multiply @ X5 @ X6 ) != ( sk_c9 ) ) |
% 1.31/0.93 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ X4 ) != ( sk_c10 ) ) ))).
% 1.31/0.93 thf(zf_stmt_0, negated_conjecture,
% 1.31/0.93 (( ( inverse @ X3 ) != ( sk_c10 ) ) |
% 1.31/0.93 ( ( multiply @ X3 @ sk_c10 ) != ( X2 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c10 @ X2 ) != ( sk_c9 ) ) |
% 1.31/0.93 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ X1 ) != ( sk_c10 ) ) | ( ( inverse @ X8 ) != ( sk_c10 ) ) |
% 1.31/0.93 ( ( multiply @ X8 @ sk_c10 ) != ( X7 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c10 @ X7 ) != ( sk_c9 ) ) |
% 1.31/0.93 ( ( multiply @ X6 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.31/0.93 ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.31/0.93 ( ( multiply @ X5 @ X6 ) != ( sk_c9 ) ) |
% 1.31/0.93 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ X4 ) != ( sk_c10 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_41])).
% 1.31/0.93 thf(zip_derived_cl43, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/0.93 (((inverse @ X0) != (sk_c10))
% 1.31/0.93 | ((multiply @ X0 @ sk_c10) != (X1))
% 1.31/0.93 | ((multiply @ sk_c10 @ X1) != (sk_c9))
% 1.31/0.93 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 1.31/0.93 | ((inverse @ X2) != (sk_c10))
% 1.31/0.93 | ((inverse @ X3) != (sk_c10))
% 1.31/0.93 | ((multiply @ X3 @ sk_c10) != (X4))
% 1.31/0.93 | ((multiply @ sk_c10 @ X4) != (sk_c9))
% 1.31/0.93 | ((multiply @ X5 @ sk_c10) != (sk_c9))
% 1.31/0.93 | ((inverse @ X6) != (X5))
% 1.31/0.93 | ((multiply @ X6 @ X5) != (sk_c9))
% 1.31/0.93 | ((multiply @ X7 @ sk_c9) != (sk_c10))
% 1.31/0.93 | ((inverse @ X7) != (sk_c10)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/0.93 thf(zip_derived_cl557, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.31/0.93 (((X0) != (sk_c10))
% 1.31/0.93 | ((inverse @ X1) != (sk_c10))
% 1.31/0.93 | ((multiply @ X1 @ sk_c9) != (sk_c10))
% 1.31/0.93 | ((multiply @ X3 @ X2) != (sk_c9))
% 1.31/0.93 | ((inverse @ X3) != (X2))
% 1.31/0.93 | ((multiply @ X2 @ sk_c10) != (sk_c9))
% 1.31/0.93 | ((multiply @ sk_c10 @ X4) != (sk_c9))
% 1.31/0.93 | ((multiply @ X5 @ sk_c10) != (X4))
% 1.31/0.93 | ((inverse @ X5) != (sk_c10))
% 1.31/0.93 | ((inverse @ X6) != (sk_c10))
% 1.31/0.93 | ((multiply @ X6 @ sk_c9) != (sk_c10))
% 1.31/0.93 | ((multiply @ sk_c10 @ X7) != (sk_c9))
% 1.31/0.93 | ((multiply @ (inverse @ X0) @ sk_c10) != (X7)))),
% 1.31/0.93 inference('sup-', [status(thm)], [zip_derived_cl454, zip_derived_cl43])).
% 1.31/0.93 thf(zip_derived_cl641, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/0.93 (((multiply @ (inverse @ sk_c10) @ sk_c10) != (X0))
% 1.31/0.93 | ((multiply @ sk_c10 @ X0) != (sk_c9))
% 1.31/0.93 | ((multiply @ X1 @ sk_c9) != (sk_c10))
% 1.31/0.93 | ((inverse @ X1) != (sk_c10))
% 1.31/0.93 | ((inverse @ X2) != (sk_c10))
% 1.31/0.93 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.31/0.93 | ((multiply @ sk_c10 @ X3) != (sk_c9))
% 1.31/0.93 | ((multiply @ X4 @ sk_c10) != (sk_c9))
% 1.31/0.93 | ((inverse @ X5) != (X4))
% 1.31/0.93 | ((multiply @ X5 @ X4) != (sk_c9))
% 1.31/0.93 | ((multiply @ X6 @ sk_c9) != (sk_c10))
% 1.31/0.93 | ((inverse @ X6) != (sk_c10)))),
% 1.31/0.93 inference('eq_res', [status(thm)], [zip_derived_cl557])).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(zip_derived_cl642, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.31/0.93 (((identity) != (X0))
% 1.31/0.93 | ((multiply @ sk_c10 @ X0) != (sk_c9))
% 1.31/0.93 | ((multiply @ X1 @ sk_c9) != (sk_c10))
% 1.31/0.93 | ((inverse @ X1) != (sk_c10))
% 1.31/0.93 | ((inverse @ X2) != (sk_c10))
% 1.31/0.93 | ((multiply @ X2 @ sk_c10) != (X3))
% 1.31/0.93 | ((multiply @ sk_c10 @ X3) != (sk_c9))
% 1.31/0.93 | ((multiply @ X4 @ sk_c10) != (sk_c9))
% 1.31/0.93 | ((inverse @ X5) != (X4))
% 1.31/0.93 | ((multiply @ X5 @ X4) != (sk_c9))
% 1.31/0.93 | ((multiply @ X6 @ sk_c9) != (sk_c10))
% 1.31/0.93 | ((inverse @ X6) != (sk_c10)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl641, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl643, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/0.93 (((inverse @ X0) != (sk_c10))
% 1.31/0.93 | ((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.31/0.93 | ((multiply @ X2 @ X1) != (sk_c9))
% 1.31/0.93 | ((inverse @ X2) != (X1))
% 1.31/0.93 | ((multiply @ X1 @ sk_c10) != (sk_c9))
% 1.31/0.93 | ((multiply @ sk_c10 @ X3) != (sk_c9))
% 1.31/0.93 | ((multiply @ X4 @ sk_c10) != (X3))
% 1.31/0.93 | ((inverse @ X4) != (sk_c10))
% 1.31/0.93 | ((inverse @ X5) != (sk_c10))
% 1.31/0.93 | ((multiply @ X5 @ sk_c9) != (sk_c10))
% 1.31/0.93 | ((multiply @ sk_c10 @ identity) != (sk_c9)))),
% 1.31/0.93 inference('eq_res', [status(thm)], [zip_derived_cl642])).
% 1.31/0.93 thf(zip_derived_cl644, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/0.93 (((inverse @ X0) != (sk_c10))
% 1.31/0.93 | ((multiply @ X0 @ (multiply @ sk_c10 @ identity)) != (sk_c10))
% 1.31/0.93 | ((multiply @ X2 @ X1) != (multiply @ sk_c10 @ identity))
% 1.31/0.93 | ((inverse @ X2) != (X1))
% 1.31/0.93 | ((multiply @ X1 @ sk_c10) != (multiply @ sk_c10 @ identity))
% 1.31/0.93 | ((multiply @ sk_c10 @ X3) != (multiply @ sk_c10 @ identity))
% 1.31/0.93 | ((multiply @ X4 @ sk_c10) != (X3))
% 1.31/0.93 | ((inverse @ X4) != (sk_c10))
% 1.31/0.93 | ((inverse @ X5) != (sk_c10))
% 1.31/0.93 | ((multiply @ X5 @ (multiply @ sk_c10 @ identity)) != (sk_c10))
% 1.31/0.93 | ((multiply @ sk_c10 @ identity) != (sk_c9)))),
% 1.31/0.93 inference('local_rewriting', [status(thm)], [zip_derived_cl643])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl645, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/0.93 (((inverse @ X0) != (sk_c10))
% 1.31/0.93 | ((multiply @ X0 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((multiply @ X2 @ X1) != (sk_c10))
% 1.31/0.93 | ((inverse @ X2) != (X1))
% 1.31/0.93 | ((multiply @ X1 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((multiply @ sk_c10 @ X3) != (sk_c10))
% 1.31/0.93 | ((multiply @ X4 @ sk_c10) != (X3))
% 1.31/0.93 | ((inverse @ X4) != (sk_c10))
% 1.31/0.93 | ((inverse @ X5) != (sk_c10))
% 1.31/0.93 | ((multiply @ X5 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((sk_c10) != (sk_c9)))),
% 1.31/0.93 inference('demod', [status(thm)],
% 1.31/0.93 [zip_derived_cl644, zip_derived_cl428, zip_derived_cl428,
% 1.31/0.93 zip_derived_cl428, zip_derived_cl428, zip_derived_cl428,
% 1.31/0.93 zip_derived_cl428])).
% 1.31/0.93 thf(prove_this_40, conjecture,
% 1.31/0.93 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) ))).
% 1.31/0.93 thf(zf_stmt_1, negated_conjecture,
% 1.31/0.93 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c4 ) = ( sk_c10 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_40])).
% 1.31/0.93 thf(zip_derived_cl42, plain,
% 1.31/0.93 ((((inverse @ sk_c7) = (sk_c10)) | ((inverse @ sk_c4) = (sk_c10)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(zip_derived_cl53, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ sk_c4) = (identity))
% 1.31/0.93 | ((inverse @ sk_c7) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl113, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 1.31/0.93 thf(zip_derived_cl132, plain,
% 1.31/0.93 ((((sk_c4) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.31/0.93 | ((inverse @ sk_c7) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl113])).
% 1.31/0.93 thf(prove_this_35, conjecture,
% 1.31/0.93 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c5 ) ) ))).
% 1.31/0.93 thf(zf_stmt_2, negated_conjecture,
% 1.31/0.93 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c5 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_35])).
% 1.31/0.93 thf(zip_derived_cl37, plain,
% 1.31/0.93 ((((inverse @ sk_c7) = (sk_c10))
% 1.31/0.93 | ((multiply @ sk_c4 @ sk_c10) = (sk_c5)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.31/0.93 thf(zip_derived_cl258, plain,
% 1.31/0.93 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 1.31/0.93 = (sk_c5))
% 1.31/0.93 | ((inverse @ sk_c7) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c7) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl37])).
% 1.31/0.93 thf(zip_derived_cl2, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.31/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.31/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.31/0.93 thf(zip_derived_cl0, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(zip_derived_cl267, plain,
% 1.31/0.93 ((((identity) = (sk_c5))
% 1.31/0.93 | ((inverse @ sk_c7) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c7) = (sk_c10)))),
% 1.31/0.93 inference('demod', [status(thm)],
% 1.31/0.93 [zip_derived_cl258, zip_derived_cl2, zip_derived_cl0,
% 1.31/0.93 zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl268, plain,
% 1.31/0.93 ((((inverse @ sk_c7) = (sk_c10)) | ((identity) = (sk_c5)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl267])).
% 1.31/0.93 thf(prove_this_30, conjecture,
% 1.31/0.93 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c10 @ sk_c5 ) = ( sk_c9 ) ) ))).
% 1.31/0.93 thf(zf_stmt_3, negated_conjecture,
% 1.31/0.93 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c10 @ sk_c5 ) = ( sk_c9 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.31/0.93 thf(zip_derived_cl32, plain,
% 1.31/0.93 ((((inverse @ sk_c7) = (sk_c10))
% 1.31/0.93 | ((multiply @ sk_c10 @ sk_c5) = (sk_c9)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.31/0.93 thf(zip_derived_cl272, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 1.31/0.93 | ((inverse @ sk_c7) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c7) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl32])).
% 1.31/0.93 thf(zip_derived_cl275, plain,
% 1.31/0.93 ((((inverse @ sk_c7) = (sk_c10))
% 1.31/0.93 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl272])).
% 1.31/0.93 thf(zip_derived_cl123, plain,
% 1.31/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl113])).
% 1.31/0.93 thf(zip_derived_cl289, plain,
% 1.31/0.93 ((((sk_c7) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.31/0.93 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl275, zip_derived_cl123])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl448, plain,
% 1.31/0.93 ((((sk_c7) = (inverse @ sk_c10)) | ((sk_c10) = (sk_c9)))),
% 1.31/0.93 inference('demod', [status(thm)],
% 1.31/0.93 [zip_derived_cl289, zip_derived_cl428, zip_derived_cl428])).
% 1.31/0.93 thf(prove_this_39, conjecture,
% 1.31/0.93 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) ))).
% 1.31/0.93 thf(zf_stmt_4, negated_conjecture,
% 1.31/0.93 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c4 ) = ( sk_c10 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_39])).
% 1.31/0.93 thf(zip_derived_cl41, plain,
% 1.31/0.93 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 1.31/0.93 | ((inverse @ sk_c4) = (sk_c10)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.31/0.93 thf(zip_derived_cl454, plain,
% 1.31/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl428, zip_derived_cl123])).
% 1.31/0.93 thf(zip_derived_cl569, plain,
% 1.31/0.93 ((((sk_c4) = (inverse @ sk_c10))
% 1.31/0.93 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl454])).
% 1.31/0.93 thf(prove_this_34, conjecture,
% 1.31/0.93 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c5 ) ) ))).
% 1.31/0.93 thf(zf_stmt_5, negated_conjecture,
% 1.31/0.93 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c5 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 1.31/0.93 thf(zip_derived_cl36, plain,
% 1.31/0.93 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 1.31/0.93 | ((multiply @ sk_c4 @ sk_c10) = (sk_c5)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.31/0.93 thf(zip_derived_cl1281, plain,
% 1.31/0.93 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c5))
% 1.31/0.93 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 1.31/0.93 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl569, zip_derived_cl36])).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(zip_derived_cl1286, plain,
% 1.31/0.93 ((((identity) = (sk_c5))
% 1.31/0.93 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 1.31/0.93 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1281, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl1287, plain,
% 1.31/0.93 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8)) | ((identity) = (sk_c5)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1286])).
% 1.31/0.93 thf(prove_this_29, conjecture,
% 1.31/0.93 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c10 @ sk_c5 ) = ( sk_c9 ) ) ))).
% 1.31/0.93 thf(zf_stmt_6, negated_conjecture,
% 1.31/0.93 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c10 @ sk_c5 ) = ( sk_c9 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 1.31/0.93 thf(zip_derived_cl31, plain,
% 1.31/0.93 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 1.31/0.93 | ((multiply @ sk_c10 @ sk_c5) = (sk_c9)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.31/0.93 thf(zip_derived_cl1291, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 1.31/0.93 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 1.31/0.93 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl1287, zip_derived_cl31])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl1298, plain,
% 1.31/0.93 ((((sk_c10) = (sk_c9))
% 1.31/0.93 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 1.31/0.93 | ((multiply @ sk_c7 @ sk_c10) = (sk_c8)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1291, zip_derived_cl428])).
% 1.31/0.93 thf(zip_derived_cl1299, plain,
% 1.31/0.93 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8)) | ((sk_c10) = (sk_c9)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1298])).
% 1.31/0.93 thf(zip_derived_cl1307, plain,
% 1.31/0.93 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c8))
% 1.31/0.93 | ((sk_c10) = (sk_c9))
% 1.31/0.93 | ((sk_c10) = (sk_c9)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl448, zip_derived_cl1299])).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(zip_derived_cl1311, plain,
% 1.31/0.93 ((((identity) = (sk_c8)) | ((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1307, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl1312, plain,
% 1.31/0.93 ((((sk_c10) = (sk_c9)) | ((identity) = (sk_c8)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1311])).
% 1.31/0.93 thf(prove_this_38, conjecture,
% 1.31/0.93 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) ))).
% 1.31/0.93 thf(zf_stmt_7, negated_conjecture,
% 1.31/0.93 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c4 ) = ( sk_c10 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_38])).
% 1.31/0.93 thf(zip_derived_cl40, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 1.31/0.93 | ((inverse @ sk_c4) = (sk_c10)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.31/0.93 thf(zip_derived_cl454, plain,
% 1.31/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl428, zip_derived_cl123])).
% 1.31/0.93 thf(zip_derived_cl568, plain,
% 1.31/0.93 ((((sk_c4) = (inverse @ sk_c10))
% 1.31/0.93 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl454])).
% 1.31/0.93 thf(prove_this_33, conjecture,
% 1.31/0.93 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c5 ) ) ))).
% 1.31/0.93 thf(zf_stmt_8, negated_conjecture,
% 1.31/0.93 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c5 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 1.31/0.93 thf(zip_derived_cl35, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 1.31/0.93 | ((multiply @ sk_c4 @ sk_c10) = (sk_c5)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.31/0.93 thf(zip_derived_cl1143, plain,
% 1.31/0.93 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c5))
% 1.31/0.93 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 1.31/0.93 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl568, zip_derived_cl35])).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(zip_derived_cl1148, plain,
% 1.31/0.93 ((((identity) = (sk_c5))
% 1.31/0.93 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 1.31/0.93 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1143, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl1149, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c5)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1148])).
% 1.31/0.93 thf(prove_this_28, conjecture,
% 1.31/0.93 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c10 @ sk_c5 ) = ( sk_c9 ) ) ))).
% 1.31/0.93 thf(zf_stmt_9, negated_conjecture,
% 1.31/0.93 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c10 @ sk_c5 ) = ( sk_c9 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 1.31/0.93 thf(zip_derived_cl30, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 1.31/0.93 | ((multiply @ sk_c10 @ sk_c5) = (sk_c9)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.31/0.93 thf(zip_derived_cl1153, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 1.31/0.93 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 1.31/0.93 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl30])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl1160, plain,
% 1.31/0.93 ((((sk_c10) = (sk_c9))
% 1.31/0.93 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 1.31/0.93 | ((multiply @ sk_c10 @ sk_c8) = (sk_c9)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1153, zip_derived_cl428])).
% 1.31/0.93 thf(zip_derived_cl1161, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1160])).
% 1.31/0.93 thf(zip_derived_cl1322, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 1.31/0.93 | ((sk_c10) = (sk_c9))
% 1.31/0.93 | ((sk_c10) = (sk_c9)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl1312, zip_derived_cl1161])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl1329, plain,
% 1.31/0.93 ((((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1322, zip_derived_cl428])).
% 1.31/0.93 thf(zip_derived_cl1330, plain, (((sk_c10) = (sk_c9))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1329])).
% 1.31/0.93 thf(zip_derived_cl1381, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/0.93 (((inverse @ X0) != (sk_c10))
% 1.31/0.93 | ((multiply @ X0 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((multiply @ X2 @ X1) != (sk_c10))
% 1.31/0.93 | ((inverse @ X2) != (X1))
% 1.31/0.93 | ((multiply @ X1 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((multiply @ sk_c10 @ X3) != (sk_c10))
% 1.31/0.93 | ((multiply @ X4 @ sk_c10) != (X3))
% 1.31/0.93 | ((inverse @ X4) != (sk_c10))
% 1.31/0.93 | ((inverse @ X5) != (sk_c10))
% 1.31/0.93 | ((multiply @ X5 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((sk_c10) != (sk_c10)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl645, zip_derived_cl1330])).
% 1.31/0.93 thf(zip_derived_cl1382, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/0.93 (((multiply @ X5 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((inverse @ X5) != (sk_c10))
% 1.31/0.93 | ((inverse @ X4) != (sk_c10))
% 1.31/0.93 | ((multiply @ X4 @ sk_c10) != (X3))
% 1.31/0.93 | ((multiply @ sk_c10 @ X3) != (sk_c10))
% 1.31/0.93 | ((multiply @ X1 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((inverse @ X2) != (X1))
% 1.31/0.93 | ((multiply @ X2 @ X1) != (sk_c10))
% 1.31/0.93 | ((multiply @ X0 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((inverse @ X0) != (sk_c10)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1381])).
% 1.31/0.93 thf(zip_derived_cl1393, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.31/0.93 (((X0) != (sk_c10))
% 1.31/0.93 | ((inverse @ X1) != (sk_c10))
% 1.31/0.93 | ((multiply @ X1 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((multiply @ X3 @ X2) != (sk_c10))
% 1.31/0.93 | ((inverse @ X3) != (X2))
% 1.31/0.93 | ((multiply @ X2 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((multiply @ sk_c10 @ X4) != (sk_c10))
% 1.31/0.93 | ((multiply @ X5 @ sk_c10) != (X4))
% 1.31/0.93 | ((inverse @ X5) != (sk_c10))
% 1.31/0.93 | ((multiply @ (inverse @ X0) @ sk_c10) != (sk_c10)))),
% 1.31/0.93 inference('sup-', [status(thm)], [zip_derived_cl454, zip_derived_cl1382])).
% 1.31/0.93 thf(zip_derived_cl1410, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/0.93 (((multiply @ (inverse @ sk_c10) @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((inverse @ X0) != (sk_c10))
% 1.31/0.93 | ((multiply @ X0 @ sk_c10) != (X1))
% 1.31/0.93 | ((multiply @ sk_c10 @ X1) != (sk_c10))
% 1.31/0.93 | ((multiply @ X2 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((inverse @ X3) != (X2))
% 1.31/0.93 | ((multiply @ X3 @ X2) != (sk_c10))
% 1.31/0.93 | ((multiply @ X4 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((inverse @ X4) != (sk_c10)))),
% 1.31/0.93 inference('eq_res', [status(thm)], [zip_derived_cl1393])).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(zip_derived_cl1411, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/0.93 (((identity) != (sk_c10))
% 1.31/0.93 | ((inverse @ X0) != (sk_c10))
% 1.31/0.93 | ((multiply @ X0 @ sk_c10) != (X1))
% 1.31/0.93 | ((multiply @ sk_c10 @ X1) != (sk_c10))
% 1.31/0.93 | ((multiply @ X2 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((inverse @ X3) != (X2))
% 1.31/0.93 | ((multiply @ X3 @ X2) != (sk_c10))
% 1.31/0.93 | ((multiply @ X4 @ sk_c10) != (sk_c10))
% 1.31/0.93 | ((inverse @ X4) != (sk_c10)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1410, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl1412, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/0.93 (((identity) != (sk_c10))
% 1.31/0.93 | ((inverse @ X0) != (identity))
% 1.31/0.93 | ((multiply @ X0 @ identity) != (X1))
% 1.31/0.93 | ((multiply @ identity @ X1) != (identity))
% 1.31/0.93 | ((multiply @ X2 @ identity) != (identity))
% 1.31/0.93 | ((inverse @ X3) != (X2))
% 1.31/0.93 | ((multiply @ X3 @ X2) != (identity))
% 1.31/0.93 | ((multiply @ X4 @ identity) != (identity))
% 1.31/0.93 | ((inverse @ X4) != (identity)))),
% 1.31/0.93 inference('local_rewriting', [status(thm)], [zip_derived_cl1411])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl0, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl1413, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.31/0.93 (((identity) != (sk_c10))
% 1.31/0.93 | ((inverse @ X0) != (identity))
% 1.31/0.93 | ((X0) != (X1))
% 1.31/0.93 | ((X1) != (identity))
% 1.31/0.93 | ((X2) != (identity))
% 1.31/0.93 | ((inverse @ X3) != (X2))
% 1.31/0.93 | ((multiply @ X3 @ X2) != (identity))
% 1.31/0.93 | ((X4) != (identity))
% 1.31/0.93 | ((inverse @ X4) != (identity)))),
% 1.31/0.93 inference('demod', [status(thm)],
% 1.31/0.93 [zip_derived_cl1412, zip_derived_cl428, zip_derived_cl0,
% 1.31/0.93 zip_derived_cl428, zip_derived_cl428])).
% 1.31/0.93 thf(zip_derived_cl1415, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.93 (((inverse @ X0) != (identity))
% 1.31/0.93 | ((X0) != (identity))
% 1.31/0.93 | ((multiply @ X2 @ X1) != (identity))
% 1.31/0.93 | ((inverse @ X2) != (X1))
% 1.31/0.93 | ((X1) != (identity))
% 1.31/0.93 | ((X3) != (identity))
% 1.31/0.93 | ((inverse @ X3) != (identity))
% 1.31/0.93 | ((identity) != (sk_c10)))),
% 1.31/0.93 inference('eq_res', [status(thm)], [zip_derived_cl1413])).
% 1.31/0.93 thf(prove_this_1, conjecture,
% 1.31/0.93 (~( ( ( inverse @ sk_c6 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.31/0.93 thf(zf_stmt_10, negated_conjecture,
% 1.31/0.93 (( ( inverse @ sk_c6 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.31/0.93 thf(zip_derived_cl3, plain,
% 1.31/0.93 ((((inverse @ sk_c6) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(zip_derived_cl48, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ sk_c6) = (identity))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl113, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 1.31/0.93 thf(zip_derived_cl126, plain,
% 1.31/0.93 ((((sk_c6) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl113])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl441, plain,
% 1.31/0.93 ((((sk_c6) = (inverse @ sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl126, zip_derived_cl428])).
% 1.31/0.93 thf(prove_this_5, conjecture,
% 1.31/0.93 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.31/0.93 thf(zf_stmt_11, negated_conjecture,
% 1.31/0.93 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.31/0.93 thf(zip_derived_cl7, plain,
% 1.31/0.93 ((((inverse @ sk_c7) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.31/0.93 thf(prove_this_4, conjecture,
% 1.31/0.93 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.31/0.93 thf(zf_stmt_12, negated_conjecture,
% 1.31/0.93 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.31/0.93 thf(zip_derived_cl6, plain,
% 1.31/0.93 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.31/0.93 thf(zip_derived_cl113, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 1.31/0.93 thf(zip_derived_cl134, plain,
% 1.31/0.93 ((((sk_c10) = (multiply @ (inverse @ sk_c7) @ sk_c8))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl113])).
% 1.31/0.93 thf(zip_derived_cl376, plain,
% 1.31/0.93 ((((sk_c10) = (multiply @ sk_c10 @ sk_c8))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl134])).
% 1.31/0.93 thf(zip_derived_cl383, plain,
% 1.31/0.93 ((((inverse @ sk_c1) = (sk_c10))
% 1.31/0.93 | ((sk_c10) = (multiply @ sk_c10 @ sk_c8)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl376])).
% 1.31/0.93 thf(prove_this_3, conjecture,
% 1.31/0.93 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.31/0.93 thf(zf_stmt_13, negated_conjecture,
% 1.31/0.93 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.31/0.93 thf(zip_derived_cl5, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.31/0.93 thf(zip_derived_cl388, plain,
% 1.31/0.93 ((((sk_c10) = (sk_c9))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl383, zip_derived_cl5])).
% 1.31/0.93 thf(zip_derived_cl395, plain,
% 1.31/0.93 ((((inverse @ sk_c1) = (sk_c10)) | ((sk_c10) = (sk_c9)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl388])).
% 1.31/0.93 thf(prove_this_2, conjecture,
% 1.31/0.93 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.31/0.93 thf(zf_stmt_14, negated_conjecture,
% 1.31/0.93 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.31/0.93 thf(zip_derived_cl4, plain,
% 1.31/0.93 ((((multiply @ sk_c6 @ sk_c9) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.31/0.93 thf(zip_derived_cl396, plain,
% 1.31/0.93 ((((multiply @ sk_c6 @ sk_c10) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl395, zip_derived_cl4])).
% 1.31/0.93 thf(zip_derived_cl403, plain,
% 1.31/0.93 ((((inverse @ sk_c1) = (sk_c10))
% 1.31/0.93 | ((multiply @ sk_c6 @ sk_c10) = (sk_c10)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl396])).
% 1.31/0.93 thf(zip_derived_cl488, plain,
% 1.31/0.93 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl441, zip_derived_cl403])).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(zip_derived_cl492, plain,
% 1.31/0.93 ((((identity) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl488, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl493, plain,
% 1.31/0.93 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c10)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl492])).
% 1.31/0.93 thf(prove_this_16, conjecture,
% 1.31/0.93 (~( ( ( inverse @ sk_c6 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 1.31/0.93 thf(zf_stmt_15, negated_conjecture,
% 1.31/0.93 (( ( inverse @ sk_c6 ) = ( sk_c10 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.31/0.93 thf(zip_derived_cl18, plain,
% 1.31/0.93 ((((inverse @ sk_c6) = (sk_c10)) | ((inverse @ sk_c2) = (sk_c3)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.31/0.93 thf(prove_this_11, conjecture,
% 1.31/0.93 (~( ( ( inverse @ sk_c6 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c9 ) ) ))).
% 1.31/0.93 thf(zf_stmt_16, negated_conjecture,
% 1.31/0.93 (( ( inverse @ sk_c6 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c9 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.31/0.93 thf(zip_derived_cl13, plain,
% 1.31/0.93 ((((inverse @ sk_c6) = (sk_c10)) | ((multiply @ sk_c2 @ sk_c3) = (sk_c9)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.31/0.93 thf(zip_derived_cl1330, plain, (((sk_c10) = (sk_c9))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1329])).
% 1.31/0.93 thf(zip_derived_cl1339, plain,
% 1.31/0.93 ((((inverse @ sk_c6) = (sk_c10))
% 1.31/0.93 | ((multiply @ sk_c2 @ sk_c3) = (sk_c10)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl1330])).
% 1.31/0.93 thf(zip_derived_cl1450, plain,
% 1.31/0.93 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c6) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c6) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1339])).
% 1.31/0.93 thf(zip_derived_cl454, plain,
% 1.31/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl428, zip_derived_cl123])).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(zip_derived_cl556, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl454, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl1453, plain,
% 1.31/0.93 ((((identity) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c6) = (sk_c10))
% 1.31/0.93 | ((inverse @ sk_c6) = (sk_c10)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1450, zip_derived_cl556])).
% 1.31/0.93 thf(zip_derived_cl1454, plain,
% 1.31/0.93 ((((inverse @ sk_c6) = (sk_c10)) | ((identity) = (sk_c10)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1453])).
% 1.31/0.93 thf(prove_this_7, conjecture,
% 1.31/0.93 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 1.31/0.93 thf(zf_stmt_17, negated_conjecture,
% 1.31/0.93 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.31/0.93 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 1.31/0.93 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.31/0.93 thf(zip_derived_cl9, plain,
% 1.31/0.93 ((((multiply @ sk_c6 @ sk_c9) = (sk_c10))
% 1.31/0.93 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 1.31/0.93 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.31/0.93 thf(zip_derived_cl113, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 1.31/0.93 thf(zip_derived_cl177, plain,
% 1.31/0.93 ((((sk_c9) = (multiply @ (inverse @ sk_c6) @ sk_c10))
% 1.31/0.93 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl113])).
% 1.31/0.93 thf(zip_derived_cl113, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 1.31/0.93 thf(zip_derived_cl867, plain,
% 1.31/0.93 ((((sk_c9) = (multiply @ (inverse @ sk_c1) @ sk_c10))
% 1.31/0.93 | ((sk_c9) = (multiply @ (inverse @ sk_c6) @ sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl177, zip_derived_cl113])).
% 1.31/0.93 thf(zip_derived_cl885, plain,
% 1.31/0.93 ((((multiply @ (inverse @ sk_c6) @ sk_c10)
% 1.31/0.93 != (multiply @ (inverse @ sk_c1) @ sk_c10))
% 1.31/0.93 | ((sk_c9) = (multiply @ (inverse @ sk_c1) @ sk_c10)))),
% 1.31/0.93 inference('eq_fact', [status(thm)], [zip_derived_cl867])).
% 1.31/0.93 thf(zip_derived_cl1330, plain, (((sk_c10) = (sk_c9))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1329])).
% 1.31/0.93 thf(zip_derived_cl1384, plain,
% 1.31/0.93 ((((multiply @ (inverse @ sk_c6) @ sk_c10)
% 1.31/0.93 != (multiply @ (inverse @ sk_c1) @ sk_c10))
% 1.31/0.93 | ((sk_c10) = (multiply @ (inverse @ sk_c1) @ sk_c10)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl885, zip_derived_cl1330])).
% 1.31/0.93 thf(zip_derived_cl1463, plain,
% 1.31/0.93 ((((multiply @ sk_c10 @ sk_c10)
% 1.31/0.93 != (multiply @ (inverse @ sk_c1) @ sk_c10))
% 1.31/0.93 | ((identity) = (sk_c10))
% 1.31/0.93 | ((sk_c10) = (multiply @ (inverse @ sk_c1) @ sk_c10)))),
% 1.31/0.93 inference('sup-', [status(thm)], [zip_derived_cl1454, zip_derived_cl1384])).
% 1.31/0.93 thf(zip_derived_cl493, plain,
% 1.31/0.93 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c10)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl492])).
% 1.31/0.93 thf(zip_derived_cl1533, plain,
% 1.31/0.93 ((((sk_c10) = (multiply @ (inverse @ sk_c1) @ sk_c10))
% 1.31/0.93 | ((identity) = (sk_c10)))),
% 1.31/0.93 inference('clc', [status(thm)], [zip_derived_cl1463, zip_derived_cl493])).
% 1.31/0.93 thf(zip_derived_cl454, plain,
% 1.31/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl428, zip_derived_cl123])).
% 1.31/0.93 thf(zip_derived_cl113, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 1.31/0.93 thf(zip_derived_cl559, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl454, zip_derived_cl113])).
% 1.31/0.93 thf(zip_derived_cl1536, plain,
% 1.31/0.93 ((((sk_c10) = (multiply @ sk_c1 @ sk_c10)) | ((identity) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl1533, zip_derived_cl559])).
% 1.31/0.93 thf(zip_derived_cl1670, plain,
% 1.31/0.93 ((((sk_c10) = (multiply @ sk_c1 @ (inverse @ sk_c1)))
% 1.31/0.93 | ((identity) = (sk_c10))
% 1.31/0.93 | ((identity) = (sk_c10)))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl493, zip_derived_cl1536])).
% 1.31/0.93 thf(zip_derived_cl556, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl454, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl1671, plain,
% 1.31/0.93 ((((sk_c10) = (identity))
% 1.31/0.93 | ((identity) = (sk_c10))
% 1.31/0.93 | ((identity) = (sk_c10)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1670, zip_derived_cl556])).
% 1.31/0.93 thf(zip_derived_cl1672, plain, (((sk_c10) = (identity))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1671])).
% 1.31/0.93 thf(zip_derived_cl1731, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.93 (((inverse @ X0) != (identity))
% 1.31/0.93 | ((X0) != (identity))
% 1.31/0.93 | ((multiply @ X2 @ X1) != (identity))
% 1.31/0.93 | ((inverse @ X2) != (X1))
% 1.31/0.93 | ((X1) != (identity))
% 1.31/0.93 | ((X3) != (identity))
% 1.31/0.93 | ((inverse @ X3) != (identity))
% 1.31/0.93 | ((identity) != (identity)))),
% 1.31/0.93 inference('demod', [status(thm)],
% 1.31/0.93 [zip_derived_cl1415, zip_derived_cl1672])).
% 1.31/0.93 thf(zip_derived_cl1732, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.93 (((inverse @ X3) != (identity))
% 1.31/0.93 | ((X3) != (identity))
% 1.31/0.93 | ((X1) != (identity))
% 1.31/0.93 | ((inverse @ X2) != (X1))
% 1.31/0.93 | ((multiply @ X2 @ X1) != (identity))
% 1.31/0.93 | ((X0) != (identity))
% 1.31/0.93 | ((inverse @ X0) != (identity)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1731])).
% 1.31/0.93 thf(zip_derived_cl1746, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.93 (((inverse @ X0) != (identity))
% 1.31/0.93 | ((X0) != (identity))
% 1.31/0.93 | ((multiply @ X2 @ X1) != (identity))
% 1.31/0.93 | ((inverse @ X2) != (X1))
% 1.31/0.93 | ((X1) != (identity))
% 1.31/0.93 | ((inverse @ identity) != (identity)))),
% 1.31/0.93 inference('eq_res', [status(thm)], [zip_derived_cl1732])).
% 1.31/0.93 thf(zip_derived_cl0, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.31/0.93 thf(zip_derived_cl113, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 1.31/0.93 thf(zip_derived_cl122, plain,
% 1.31/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl113])).
% 1.31/0.93 thf(zip_derived_cl113, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl0])).
% 1.31/0.93 thf(zip_derived_cl151, plain,
% 1.31/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl113])).
% 1.31/0.93 thf(zip_derived_cl1, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.31/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.31/0.93 thf(zip_derived_cl411, plain, (((inverse @ identity) = (identity))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl1747, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.93 (((inverse @ X0) != (identity))
% 1.31/0.93 | ((X0) != (identity))
% 1.31/0.93 | ((multiply @ X2 @ X1) != (identity))
% 1.31/0.93 | ((inverse @ X2) != (X1))
% 1.31/0.93 | ((X1) != (identity))
% 1.31/0.93 | ((identity) != (identity)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1746, zip_derived_cl411])).
% 1.31/0.93 thf(zip_derived_cl1748, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.93 (((X1) != (identity))
% 1.31/0.93 | ((inverse @ X2) != (X1))
% 1.31/0.93 | ((multiply @ X2 @ X1) != (identity))
% 1.31/0.93 | ((X0) != (identity))
% 1.31/0.93 | ((inverse @ X0) != (identity)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1747])).
% 1.31/0.93 thf(zip_derived_cl1749, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 (((inverse @ X0) != (identity))
% 1.31/0.93 | ((X0) != (identity))
% 1.31/0.93 | ((multiply @ X1 @ identity) != (identity))
% 1.31/0.93 | ((inverse @ X1) != (identity)))),
% 1.31/0.93 inference('eq_res', [status(thm)], [zip_derived_cl1748])).
% 1.31/0.93 thf(zip_derived_cl428, plain,
% 1.31/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl120])).
% 1.31/0.93 thf(zip_derived_cl1750, plain,
% 1.31/0.93 (![X0 : $i, X1 : $i]:
% 1.31/0.93 (((inverse @ X0) != (identity))
% 1.31/0.93 | ((X0) != (identity))
% 1.31/0.93 | ((X1) != (identity))
% 1.31/0.93 | ((inverse @ X1) != (identity)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1749, zip_derived_cl428])).
% 1.31/0.93 thf(zip_derived_cl1751, plain,
% 1.31/0.93 (![X0 : $i]:
% 1.31/0.93 (((inverse @ X0) != (identity))
% 1.31/0.93 | ((X0) != (identity))
% 1.31/0.93 | ((inverse @ identity) != (identity)))),
% 1.31/0.93 inference('eq_res', [status(thm)], [zip_derived_cl1750])).
% 1.31/0.93 thf(zip_derived_cl411, plain, (((inverse @ identity) = (identity))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl1752, plain,
% 1.31/0.93 (![X0 : $i]:
% 1.31/0.93 (((inverse @ X0) != (identity))
% 1.31/0.93 | ((X0) != (identity))
% 1.31/0.93 | ((identity) != (identity)))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1751, zip_derived_cl411])).
% 1.31/0.93 thf(zip_derived_cl1753, plain,
% 1.31/0.93 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1752])).
% 1.31/0.93 thf(zip_derived_cl1754, plain, (((inverse @ identity) != (identity))),
% 1.31/0.93 inference('eq_res', [status(thm)], [zip_derived_cl1753])).
% 1.31/0.93 thf(zip_derived_cl411, plain, (((inverse @ identity) = (identity))),
% 1.31/0.93 inference('sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl1])).
% 1.31/0.93 thf(zip_derived_cl1755, plain, (((identity) != (identity))),
% 1.31/0.93 inference('demod', [status(thm)], [zip_derived_cl1754, zip_derived_cl411])).
% 1.31/0.93 thf(zip_derived_cl1756, plain, ($false),
% 1.31/0.93 inference('simplify', [status(thm)], [zip_derived_cl1755])).
% 1.31/0.93
% 1.31/0.93 % SZS output end Refutation
% 1.31/0.93
% 1.31/0.93
% 1.31/0.93 % Terminating...
% 1.61/0.99 % Runner terminated.
% 1.61/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------