TSTP Solution File: GRP223-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP223-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EsPZDO48Vj true
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:50:47 EDT 2023
% Result : Unsatisfiable 1.47s 0.92s
% Output : Refutation 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP223-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EsPZDO48Vj true
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 01:41:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.62 % Total configuration time : 435
% 0.22/0.62 % Estimated wc time : 1092
% 0.22/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.47/0.92 % Solved by fo/fo7.sh.
% 1.47/0.92 % done 409 iterations in 0.146s
% 1.47/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.47/0.92 % SZS output start Refutation
% 1.47/0.92 thf(sk_c6_type, type, sk_c6: $i).
% 1.47/0.92 thf(sk_c4_type, type, sk_c4: $i).
% 1.47/0.92 thf(sk_c2_type, type, sk_c2: $i).
% 1.47/0.92 thf(sk_c7_type, type, sk_c7: $i).
% 1.47/0.92 thf(sk_c8_type, type, sk_c8: $i).
% 1.47/0.92 thf(identity_type, type, identity: $i).
% 1.47/0.92 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.47/0.92 thf(sk_c9_type, type, sk_c9: $i).
% 1.47/0.92 thf(inverse_type, type, inverse: $i > $i).
% 1.47/0.92 thf(sk_c5_type, type, sk_c5: $i).
% 1.47/0.92 thf(sk_c3_type, type, sk_c3: $i).
% 1.47/0.92 thf(sk_c1_type, type, sk_c1: $i).
% 1.47/0.92 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.47/0.92 thf(zip_derived_cl0, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.47/0.92 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.47/0.92 thf(zip_derived_cl1, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.47/0.92 thf(associativity, axiom,
% 1.47/0.92 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.47/0.92 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.47/0.92 thf(zip_derived_cl2, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.47/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.47/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.47/0.92 thf(zip_derived_cl66, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 ((multiply @ identity @ X0)
% 1.47/0.92 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.47/0.92 thf(zip_derived_cl0, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.47/0.92 thf(zip_derived_cl85, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl0])).
% 1.47/0.92 thf(zip_derived_cl93, plain,
% 1.47/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl85])).
% 1.47/0.92 thf(zip_derived_cl85, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl0])).
% 1.47/0.92 thf(zip_derived_cl123, plain,
% 1.47/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl85])).
% 1.47/0.92 thf(zip_derived_cl1, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.47/0.92 thf(zip_derived_cl290, plain, (((inverse @ identity) = (identity))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl1, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.47/0.92 thf(zip_derived_cl85, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl0])).
% 1.47/0.92 thf(zip_derived_cl94, plain,
% 1.47/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl85])).
% 1.47/0.92 thf(zip_derived_cl85, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl0])).
% 1.47/0.92 thf(zip_derived_cl85, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl0])).
% 1.47/0.92 thf(zip_derived_cl91, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl85])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl94, plain,
% 1.47/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl85])).
% 1.47/0.92 thf(zip_derived_cl409, plain,
% 1.47/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl383, zip_derived_cl94])).
% 1.47/0.92 thf(prove_this_31, conjecture,
% 1.47/0.92 (~( ( ( inverse @ X7 ) != ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ X7 @ sk_c9 ) != ( X3 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ X3 ) != ( sk_c8 ) ) |
% 1.47/0.92 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ X2 ) != ( X1 ) ) |
% 1.47/0.92 ( ( multiply @ X2 @ X1 ) != ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 1.47/0.92 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ X4 ) != ( sk_c9 ) ) ))).
% 1.47/0.92 thf(zf_stmt_0, negated_conjecture,
% 1.47/0.92 (( ( inverse @ X7 ) != ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ X7 @ sk_c9 ) != ( X3 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ X3 ) != ( sk_c8 ) ) |
% 1.47/0.92 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ X2 ) != ( X1 ) ) |
% 1.47/0.92 ( ( multiply @ X2 @ X1 ) != ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 1.47/0.92 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ X4 ) != ( sk_c9 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.47/0.92 thf(zip_derived_cl33, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.47/0.92 (((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (X1))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c8))
% 1.47/0.92 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 1.47/0.92 | ((inverse @ X3) != (X2))
% 1.47/0.92 | ((multiply @ X3 @ X2) != (sk_c9))
% 1.47/0.92 | ((inverse @ X4) != (sk_c9))
% 1.47/0.92 | ((multiply @ X4 @ sk_c9) != (X5))
% 1.47/0.92 | ((multiply @ sk_c9 @ X5) != (sk_c8))
% 1.47/0.92 | ((multiply @ X6 @ sk_c8) != (sk_c9))
% 1.47/0.92 | ((inverse @ X6) != (sk_c9)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.47/0.92 thf(zip_derived_cl500, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.47/0.92 (((X0) != (sk_c9))
% 1.47/0.92 | ((inverse @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X2) != (sk_c8))
% 1.47/0.92 | ((multiply @ X3 @ sk_c9) != (X2))
% 1.47/0.92 | ((inverse @ X3) != (sk_c9))
% 1.47/0.92 | ((multiply @ X5 @ X4) != (sk_c9))
% 1.47/0.92 | ((inverse @ X5) != (X4))
% 1.47/0.92 | ((multiply @ X4 @ sk_c8) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X6) != (sk_c8))
% 1.47/0.92 | ((multiply @ (inverse @ X0) @ sk_c9) != (X6)))),
% 1.47/0.92 inference('sup-', [status(thm)], [zip_derived_cl409, zip_derived_cl33])).
% 1.47/0.92 thf(zip_derived_cl568, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.47/0.92 (((multiply @ (inverse @ sk_c9) @ sk_c9) != (X0))
% 1.47/0.92 | ((multiply @ sk_c9 @ X0) != (sk_c8))
% 1.47/0.92 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.47/0.92 | ((inverse @ X2) != (X1))
% 1.47/0.92 | ((multiply @ X2 @ X1) != (sk_c9))
% 1.47/0.92 | ((inverse @ X3) != (sk_c9))
% 1.47/0.92 | ((multiply @ X3 @ sk_c9) != (X4))
% 1.47/0.92 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 1.47/0.92 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 1.47/0.92 | ((inverse @ X5) != (sk_c9)))),
% 1.47/0.92 inference('eq_res', [status(thm)], [zip_derived_cl500])).
% 1.47/0.92 thf(zip_derived_cl1, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.47/0.92 thf(zip_derived_cl569, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.47/0.92 (((identity) != (X0))
% 1.47/0.92 | ((multiply @ sk_c9 @ X0) != (sk_c8))
% 1.47/0.92 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.47/0.92 | ((inverse @ X2) != (X1))
% 1.47/0.92 | ((multiply @ X2 @ X1) != (sk_c9))
% 1.47/0.92 | ((inverse @ X3) != (sk_c9))
% 1.47/0.92 | ((multiply @ X3 @ sk_c9) != (X4))
% 1.47/0.92 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 1.47/0.92 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 1.47/0.92 | ((inverse @ X5) != (sk_c9)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl568, zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl570, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.47/0.92 (((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c8) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c8))
% 1.47/0.92 | ((multiply @ X2 @ sk_c9) != (X1))
% 1.47/0.92 | ((inverse @ X2) != (sk_c9))
% 1.47/0.92 | ((multiply @ X4 @ X3) != (sk_c9))
% 1.47/0.92 | ((inverse @ X4) != (X3))
% 1.47/0.92 | ((multiply @ X3 @ sk_c8) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ identity) != (sk_c8)))),
% 1.47/0.92 inference('eq_res', [status(thm)], [zip_derived_cl569])).
% 1.47/0.92 thf(zip_derived_cl571, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.47/0.92 (((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ (multiply @ sk_c9 @ identity)) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (multiply @ sk_c9 @ identity))
% 1.47/0.92 | ((multiply @ X2 @ sk_c9) != (X1))
% 1.47/0.92 | ((inverse @ X2) != (sk_c9))
% 1.47/0.92 | ((multiply @ X4 @ X3) != (sk_c9))
% 1.47/0.92 | ((inverse @ X4) != (X3))
% 1.47/0.92 | ((multiply @ X3 @ (multiply @ sk_c9 @ identity)) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ identity) != (sk_c8)))),
% 1.47/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl570])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl572, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.47/0.92 (((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X2 @ sk_c9) != (X1))
% 1.47/0.92 | ((inverse @ X2) != (sk_c9))
% 1.47/0.92 | ((multiply @ X4 @ X3) != (sk_c9))
% 1.47/0.92 | ((inverse @ X4) != (X3))
% 1.47/0.92 | ((multiply @ X3 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((sk_c9) != (sk_c8)))),
% 1.47/0.92 inference('demod', [status(thm)],
% 1.47/0.92 [zip_derived_cl571, zip_derived_cl383, zip_derived_cl383,
% 1.47/0.92 zip_derived_cl383, zip_derived_cl383])).
% 1.47/0.92 thf(prove_this_30, conjecture,
% 1.47/0.92 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.47/0.92 thf(zf_stmt_1, negated_conjecture,
% 1.47/0.92 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.47/0.92 thf(zip_derived_cl32, plain,
% 1.47/0.92 ((((inverse @ sk_c6) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.47/0.92 thf(zip_derived_cl1, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.47/0.92 thf(zip_derived_cl40, plain,
% 1.47/0.92 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 1.47/0.92 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl85, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl0])).
% 1.47/0.92 thf(zip_derived_cl105, plain,
% 1.47/0.92 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.47/0.92 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl85])).
% 1.47/0.92 thf(prove_this_24, conjecture,
% 1.47/0.92 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 1.47/0.92 thf(zf_stmt_2, negated_conjecture,
% 1.47/0.92 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.47/0.92 thf(zip_derived_cl26, plain,
% 1.47/0.92 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.47/0.92 thf(zip_derived_cl234, plain,
% 1.47/0.92 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.47/0.92 = (sk_c3))
% 1.47/0.92 | ((inverse @ sk_c6) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl26])).
% 1.47/0.92 thf(zip_derived_cl2, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.47/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.47/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.47/0.92 thf(zip_derived_cl0, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.47/0.92 thf(zip_derived_cl1, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.47/0.92 thf(zip_derived_cl246, plain,
% 1.47/0.92 ((((identity) = (sk_c3))
% 1.47/0.92 | ((inverse @ sk_c6) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.47/0.92 inference('demod', [status(thm)],
% 1.47/0.92 [zip_derived_cl234, zip_derived_cl2, zip_derived_cl0,
% 1.47/0.92 zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl247, plain,
% 1.47/0.92 ((((inverse @ sk_c6) = (sk_c9)) | ((identity) = (sk_c3)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl246])).
% 1.47/0.92 thf(prove_this_18, conjecture,
% 1.47/0.92 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.47/0.92 thf(zf_stmt_3, negated_conjecture,
% 1.47/0.92 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.47/0.92 thf(zip_derived_cl20, plain,
% 1.47/0.92 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.47/0.92 thf(zip_derived_cl255, plain,
% 1.47/0.92 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.47/0.92 | ((inverse @ sk_c6) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl247, zip_derived_cl20])).
% 1.47/0.92 thf(zip_derived_cl258, plain,
% 1.47/0.92 ((((inverse @ sk_c6) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl255])).
% 1.47/0.92 thf(zip_derived_cl94, plain,
% 1.47/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl85])).
% 1.47/0.92 thf(zip_derived_cl270, plain,
% 1.47/0.92 ((((sk_c6) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.47/0.92 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl94])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl403, plain,
% 1.47/0.92 ((((sk_c6) = (inverse @ sk_c9)) | ((sk_c9) = (sk_c8)))),
% 1.47/0.92 inference('demod', [status(thm)],
% 1.47/0.92 [zip_derived_cl270, zip_derived_cl383, zip_derived_cl383])).
% 1.47/0.92 thf(prove_this_29, conjecture,
% 1.47/0.92 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.47/0.92 thf(zf_stmt_4, negated_conjecture,
% 1.47/0.92 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 1.47/0.92 thf(zip_derived_cl31, plain,
% 1.47/0.92 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.47/0.92 thf(zip_derived_cl409, plain,
% 1.47/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl383, zip_derived_cl94])).
% 1.47/0.92 thf(zip_derived_cl512, plain,
% 1.47/0.92 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl409])).
% 1.47/0.92 thf(prove_this_23, conjecture,
% 1.47/0.92 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 1.47/0.92 thf(zf_stmt_5, negated_conjecture,
% 1.47/0.92 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 1.47/0.92 thf(zip_derived_cl25, plain,
% 1.47/0.92 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.47/0.92 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.47/0.92 thf(zip_derived_cl821, plain,
% 1.47/0.92 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c3))
% 1.47/0.92 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.47/0.92 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl512, zip_derived_cl25])).
% 1.47/0.92 thf(zip_derived_cl1, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.47/0.92 thf(zip_derived_cl837, plain,
% 1.47/0.92 ((((identity) = (sk_c3))
% 1.47/0.92 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.47/0.92 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl821, zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl838, plain,
% 1.47/0.92 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl837])).
% 1.47/0.92 thf(prove_this_17, conjecture,
% 1.47/0.92 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.47/0.92 thf(zf_stmt_6, negated_conjecture,
% 1.47/0.92 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.47/0.92 thf(zip_derived_cl19, plain,
% 1.47/0.92 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.47/0.92 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.47/0.92 thf(zip_derived_cl855, plain,
% 1.47/0.92 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.47/0.92 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.47/0.92 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl838, zip_derived_cl19])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl865, plain,
% 1.47/0.92 ((((sk_c9) = (sk_c8))
% 1.47/0.92 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.47/0.92 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl855, zip_derived_cl383])).
% 1.47/0.92 thf(zip_derived_cl866, plain,
% 1.47/0.92 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((sk_c9) = (sk_c8)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl865])).
% 1.47/0.92 thf(zip_derived_cl922, plain,
% 1.47/0.92 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c7))
% 1.47/0.92 | ((sk_c9) = (sk_c8))
% 1.47/0.92 | ((sk_c9) = (sk_c8)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl403, zip_derived_cl866])).
% 1.47/0.92 thf(zip_derived_cl1, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.47/0.92 thf(zip_derived_cl925, plain,
% 1.47/0.92 ((((identity) = (sk_c7)) | ((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl922, zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl926, plain,
% 1.47/0.92 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl925])).
% 1.47/0.92 thf(prove_this_28, conjecture,
% 1.47/0.92 (~( ( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.47/0.92 thf(zf_stmt_7, negated_conjecture,
% 1.47/0.92 (( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 1.47/0.92 thf(zip_derived_cl30, plain,
% 1.47/0.92 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.47/0.92 thf(zip_derived_cl409, plain,
% 1.47/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl383, zip_derived_cl94])).
% 1.47/0.92 thf(zip_derived_cl511, plain,
% 1.47/0.92 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl409])).
% 1.47/0.92 thf(prove_this_22, conjecture,
% 1.47/0.92 (~( ( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 1.47/0.92 thf(zf_stmt_8, negated_conjecture,
% 1.47/0.92 (( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.47/0.92 thf(zip_derived_cl24, plain,
% 1.47/0.92 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.47/0.92 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.47/0.92 thf(zip_derived_cl723, plain,
% 1.47/0.92 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c3))
% 1.47/0.92 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.47/0.92 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl511, zip_derived_cl24])).
% 1.47/0.92 thf(zip_derived_cl1, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.47/0.92 thf(zip_derived_cl739, plain,
% 1.47/0.92 ((((identity) = (sk_c3))
% 1.47/0.92 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.47/0.92 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl723, zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl740, plain,
% 1.47/0.92 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c3)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl739])).
% 1.47/0.92 thf(prove_this_16, conjecture,
% 1.47/0.92 (~( ( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.47/0.92 thf(zf_stmt_9, negated_conjecture,
% 1.47/0.92 (( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.47/0.92 thf(zip_derived_cl18, plain,
% 1.47/0.92 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.47/0.92 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.47/0.92 thf(zip_derived_cl775, plain,
% 1.47/0.92 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.47/0.92 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.47/0.92 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl740, zip_derived_cl18])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl785, plain,
% 1.47/0.92 ((((sk_c9) = (sk_c8))
% 1.47/0.92 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.47/0.92 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl775, zip_derived_cl383])).
% 1.47/0.92 thf(zip_derived_cl786, plain,
% 1.47/0.92 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl785])).
% 1.47/0.92 thf(zip_derived_cl932, plain,
% 1.47/0.92 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.47/0.92 | ((sk_c9) = (sk_c8))
% 1.47/0.92 | ((sk_c9) = (sk_c8)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl926, zip_derived_cl786])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl938, plain,
% 1.47/0.92 ((((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl932, zip_derived_cl383])).
% 1.47/0.92 thf(zip_derived_cl939, plain, (((sk_c9) = (sk_c8))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl938])).
% 1.47/0.92 thf(zip_derived_cl971, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.47/0.92 (((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X2 @ sk_c9) != (X1))
% 1.47/0.92 | ((inverse @ X2) != (sk_c9))
% 1.47/0.92 | ((multiply @ X4 @ X3) != (sk_c9))
% 1.47/0.92 | ((inverse @ X4) != (X3))
% 1.47/0.92 | ((multiply @ X3 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((sk_c9) != (sk_c9)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl572, zip_derived_cl939])).
% 1.47/0.92 thf(zip_derived_cl972, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.47/0.92 (((multiply @ X3 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ X4) != (X3))
% 1.47/0.92 | ((multiply @ X4 @ X3) != (sk_c9))
% 1.47/0.92 | ((inverse @ X2) != (sk_c9))
% 1.47/0.92 | ((multiply @ X2 @ sk_c9) != (X1))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl971])).
% 1.47/0.92 thf(zip_derived_cl979, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.47/0.92 (((identity) != (X0))
% 1.47/0.92 | ((inverse @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X1 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X2) != (sk_c9))
% 1.47/0.92 | ((multiply @ X3 @ sk_c9) != (X2))
% 1.47/0.92 | ((inverse @ X3) != (sk_c9))
% 1.47/0.92 | ((multiply @ identity @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9)))),
% 1.47/0.92 inference('sup-', [status(thm)], [zip_derived_cl290, zip_derived_cl972])).
% 1.47/0.92 thf(zip_derived_cl0, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.47/0.92 thf(zip_derived_cl989, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.47/0.92 (((identity) != (X0))
% 1.47/0.92 | ((inverse @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X1 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X2) != (sk_c9))
% 1.47/0.92 | ((multiply @ X3 @ sk_c9) != (X2))
% 1.47/0.92 | ((inverse @ X3) != (sk_c9))
% 1.47/0.92 | ((X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl979, zip_derived_cl0])).
% 1.47/0.92 thf(zip_derived_cl992, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.92 (((multiply @ identity @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((identity) != (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (X1))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X2 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ X2) != (sk_c9)))),
% 1.47/0.92 inference('eq_res', [status(thm)], [zip_derived_cl989])).
% 1.47/0.92 thf(zip_derived_cl993, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.92 (((multiply @ identity @ identity) != (identity))
% 1.47/0.92 | ((identity) != (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (identity))
% 1.47/0.92 | ((multiply @ X0 @ identity) != (X1))
% 1.47/0.92 | ((multiply @ identity @ X1) != (identity))
% 1.47/0.92 | ((multiply @ X2 @ identity) != (identity))
% 1.47/0.92 | ((inverse @ X2) != (identity)))),
% 1.47/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl992])).
% 1.47/0.92 thf(zip_derived_cl0, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl0, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl994, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.92 (((identity) != (identity))
% 1.47/0.92 | ((identity) != (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (identity))
% 1.47/0.92 | ((X0) != (X1))
% 1.47/0.92 | ((X1) != (identity))
% 1.47/0.92 | ((X2) != (identity))
% 1.47/0.92 | ((inverse @ X2) != (identity)))),
% 1.47/0.92 inference('demod', [status(thm)],
% 1.47/0.92 [zip_derived_cl993, zip_derived_cl0, zip_derived_cl383,
% 1.47/0.92 zip_derived_cl0, zip_derived_cl383])).
% 1.47/0.92 thf(zip_derived_cl995, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.92 (((inverse @ X2) != (identity))
% 1.47/0.92 | ((X2) != (identity))
% 1.47/0.92 | ((X1) != (identity))
% 1.47/0.92 | ((X0) != (X1))
% 1.47/0.92 | ((inverse @ X0) != (identity))
% 1.47/0.92 | ((identity) != (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl994])).
% 1.47/0.92 thf(zip_derived_cl996, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 (((identity) != (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (identity))
% 1.47/0.92 | ((X0) != (identity))
% 1.47/0.92 | ((X1) != (identity))
% 1.47/0.92 | ((inverse @ X1) != (identity)))),
% 1.47/0.92 inference('eq_res', [status(thm)], [zip_derived_cl995])).
% 1.47/0.92 thf(prove_this_2, conjecture,
% 1.47/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.47/0.92 thf(zf_stmt_10, negated_conjecture,
% 1.47/0.92 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.47/0.92 thf(zip_derived_cl4, plain,
% 1.47/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.47/0.92 thf(prove_this_3, conjecture,
% 1.47/0.92 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.47/0.92 thf(zf_stmt_11, negated_conjecture,
% 1.47/0.92 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.47/0.92 thf(zip_derived_cl5, plain,
% 1.47/0.92 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.47/0.92 thf(zip_derived_cl60, plain,
% 1.47/0.92 ((((multiply @ (inverse @ sk_c4) @ sk_c8) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.47/0.92 thf(zip_derived_cl61, plain,
% 1.47/0.92 ((((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((multiply @ (inverse @ sk_c4) @ sk_c8) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl60])).
% 1.47/0.92 thf(zip_derived_cl939, plain, (((sk_c9) = (sk_c8))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl938])).
% 1.47/0.92 thf(zip_derived_cl1260, plain,
% 1.47/0.92 ((((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((multiply @ (inverse @ sk_c4) @ sk_c9) = (sk_c9)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl939])).
% 1.47/0.92 thf(zip_derived_cl409, plain,
% 1.47/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl383, zip_derived_cl94])).
% 1.47/0.92 thf(zip_derived_cl85, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl0])).
% 1.47/0.92 thf(zip_derived_cl502, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl409, zip_derived_cl85])).
% 1.47/0.92 thf(zip_derived_cl1263, plain,
% 1.47/0.92 ((((sk_c9) = (multiply @ sk_c4 @ sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl1260, zip_derived_cl502])).
% 1.47/0.92 thf(zip_derived_cl1260, plain,
% 1.47/0.92 ((((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((multiply @ (inverse @ sk_c4) @ sk_c9) = (sk_c9)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl939])).
% 1.47/0.92 thf(prove_this_1, conjecture,
% 1.47/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.47/0.92 thf(zf_stmt_12, negated_conjecture,
% 1.47/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.47/0.92 thf(zip_derived_cl3, plain,
% 1.47/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.47/0.92 thf(zip_derived_cl85, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl0])).
% 1.47/0.92 thf(zip_derived_cl106, plain,
% 1.47/0.92 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl85])).
% 1.47/0.92 thf(zip_derived_cl4, plain,
% 1.47/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.47/0.92 thf(zip_derived_cl215, plain,
% 1.47/0.92 ((((inverse @ sk_c4) = (multiply @ (inverse @ sk_c4) @ sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl4])).
% 1.47/0.92 thf(zip_derived_cl219, plain,
% 1.47/0.92 ((((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c4) = (multiply @ (inverse @ sk_c4) @ sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl215])).
% 1.47/0.92 thf(zip_derived_cl1446, plain,
% 1.47/0.92 ((((inverse @ sk_c4) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl1260, zip_derived_cl219])).
% 1.47/0.92 thf(zip_derived_cl1448, plain,
% 1.47/0.92 ((((inverse @ sk_c1) = (sk_c9)) | ((inverse @ sk_c4) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1446])).
% 1.47/0.92 thf(zip_derived_cl1448, plain,
% 1.47/0.92 ((((inverse @ sk_c1) = (sk_c9)) | ((inverse @ sk_c4) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1446])).
% 1.47/0.92 thf(zip_derived_cl1263, plain,
% 1.47/0.92 ((((sk_c9) = (multiply @ sk_c4 @ sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl1260, zip_derived_cl502])).
% 1.47/0.92 thf(zip_derived_cl1448, plain,
% 1.47/0.92 ((((inverse @ sk_c1) = (sk_c9)) | ((inverse @ sk_c4) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1446])).
% 1.47/0.92 thf(zip_derived_cl1260, plain,
% 1.47/0.92 ((((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((multiply @ (inverse @ sk_c4) @ sk_c9) = (sk_c9)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl939])).
% 1.47/0.92 thf(zip_derived_cl1458, plain,
% 1.47/0.92 ((((multiply @ sk_c9 @ sk_c9) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl1448, zip_derived_cl1260])).
% 1.47/0.92 thf(zip_derived_cl1460, plain,
% 1.47/0.92 ((((inverse @ sk_c1) = (sk_c9)) | ((multiply @ sk_c9 @ sk_c9) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1458])).
% 1.47/0.92 thf(zip_derived_cl1448, plain,
% 1.47/0.92 ((((inverse @ sk_c1) = (sk_c9)) | ((inverse @ sk_c4) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1446])).
% 1.47/0.92 thf(zip_derived_cl972, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.47/0.92 (((multiply @ X3 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ X4) != (X3))
% 1.47/0.92 | ((multiply @ X4 @ X3) != (sk_c9))
% 1.47/0.92 | ((inverse @ X2) != (sk_c9))
% 1.47/0.92 | ((multiply @ X2 @ sk_c9) != (X1))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl971])).
% 1.47/0.92 thf(zip_derived_cl1455, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.47/0.92 (((sk_c9) != (X0))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X1 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X2) != (sk_c9))
% 1.47/0.92 | ((multiply @ X3 @ sk_c9) != (X2))
% 1.47/0.92 | ((inverse @ X3) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9)))),
% 1.47/0.92 inference('sup-', [status(thm)], [zip_derived_cl1448, zip_derived_cl972])).
% 1.47/0.92 thf(zip_derived_cl1603, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.92 (((multiply @ sk_c9 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (X1))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X2 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ X2) != (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1455])).
% 1.47/0.92 thf(zip_derived_cl1604, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.92 (((sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X2 @ sk_c9) != (X1))
% 1.47/0.92 | ((inverse @ X2) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c9) != (sk_c9)))),
% 1.47/0.92 inference('sup-', [status(thm)], [zip_derived_cl1460, zip_derived_cl1603])).
% 1.47/0.92 thf(zip_derived_cl1607, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.92 (((multiply @ sk_c4 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ X2) != (sk_c9))
% 1.47/0.92 | ((multiply @ X2 @ sk_c9) != (X1))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1604])).
% 1.47/0.92 thf(zip_derived_cl1608, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.92 (((sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X2 @ sk_c9) != (X1))
% 1.47/0.92 | ((inverse @ X2) != (sk_c9)))),
% 1.47/0.92 inference('sup-', [status(thm)], [zip_derived_cl1263, zip_derived_cl1607])).
% 1.47/0.92 thf(zip_derived_cl1613, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.92 (((inverse @ X2) != (sk_c9))
% 1.47/0.92 | ((multiply @ X2 @ sk_c9) != (X1))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1608])).
% 1.47/0.92 thf(zip_derived_cl1621, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 (((sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c9) != (X1)))),
% 1.47/0.92 inference('sup-', [status(thm)], [zip_derived_cl1448, zip_derived_cl1613])).
% 1.47/0.92 thf(zip_derived_cl1632, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 (((multiply @ sk_c4 @ sk_c9) != (X1))
% 1.47/0.92 | ((multiply @ sk_c9 @ X1) != (sk_c9))
% 1.47/0.92 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ X0) != (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1621])).
% 1.47/0.92 thf(zip_derived_cl1643, plain,
% 1.47/0.92 (![X0 : $i]:
% 1.47/0.92 (((sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c9) != (X0)))),
% 1.47/0.92 inference('sup-', [status(thm)], [zip_derived_cl1448, zip_derived_cl1632])).
% 1.47/0.92 thf(zip_derived_cl1654, plain,
% 1.47/0.92 (![X0 : $i]:
% 1.47/0.92 (((multiply @ sk_c4 @ sk_c9) != (X0))
% 1.47/0.92 | ((multiply @ sk_c9 @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1643])).
% 1.47/0.92 thf(zip_derived_cl1655, plain,
% 1.47/0.92 (![X0 : $i]:
% 1.47/0.92 (((sk_c9) != (X0))
% 1.47/0.92 | ((multiply @ sk_c9 @ X0) != (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl1654])).
% 1.47/0.92 thf(zip_derived_cl1666, plain,
% 1.47/0.92 (![X0 : $i]:
% 1.47/0.92 (((sk_c9) != (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ X0) != (sk_c9))
% 1.47/0.92 | ((sk_c9) != (X0)))),
% 1.47/0.92 inference('sup-', [status(thm)], [zip_derived_cl1263, zip_derived_cl1655])).
% 1.47/0.92 thf(zip_derived_cl1671, plain,
% 1.47/0.92 (![X0 : $i]:
% 1.47/0.92 (((sk_c9) != (X0))
% 1.47/0.92 | ((multiply @ sk_c9 @ X0) != (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1666])).
% 1.47/0.92 thf(zip_derived_cl1679, plain,
% 1.47/0.92 ((((inverse @ sk_c1) = (sk_c9)) | ((multiply @ sk_c9 @ sk_c9) != (sk_c9)))),
% 1.47/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1671])).
% 1.47/0.92 thf(zip_derived_cl1460, plain,
% 1.47/0.92 ((((inverse @ sk_c1) = (sk_c9)) | ((multiply @ sk_c9 @ sk_c9) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1458])).
% 1.47/0.92 thf(zip_derived_cl1680, plain, (((inverse @ sk_c1) = (sk_c9))),
% 1.47/0.92 inference('clc', [status(thm)], [zip_derived_cl1679, zip_derived_cl1460])).
% 1.47/0.92 thf(zip_derived_cl1725, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 (((identity) != (inverse @ sk_c1))
% 1.47/0.92 | ((inverse @ X0) != (identity))
% 1.47/0.92 | ((X0) != (identity))
% 1.47/0.92 | ((X1) != (identity))
% 1.47/0.92 | ((inverse @ X1) != (identity)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl996, zip_derived_cl1680])).
% 1.47/0.92 thf(prove_this_26, conjecture,
% 1.47/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.47/0.92 thf(zf_stmt_13, negated_conjecture,
% 1.47/0.92 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.47/0.92 thf(zip_derived_cl28, plain,
% 1.47/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.47/0.92 thf(prove_this_20, conjecture,
% 1.47/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 1.47/0.92 thf(zf_stmt_14, negated_conjecture,
% 1.47/0.92 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.47/0.92 thf(zip_derived_cl22, plain,
% 1.47/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.47/0.92 thf(zip_derived_cl85, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl0])).
% 1.47/0.92 thf(zip_derived_cl111, plain,
% 1.47/0.92 ((((sk_c9) = (multiply @ (inverse @ sk_c2) @ sk_c3))
% 1.47/0.92 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl85])).
% 1.47/0.92 thf(zip_derived_cl320, plain,
% 1.47/0.92 ((((sk_c9) = (multiply @ sk_c9 @ sk_c3))
% 1.47/0.92 | ((inverse @ sk_c4) = (sk_c5))
% 1.47/0.92 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl111])).
% 1.47/0.92 thf(zip_derived_cl329, plain,
% 1.47/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((sk_c9) = (multiply @ sk_c9 @ sk_c3)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl320])).
% 1.47/0.92 thf(prove_this_14, conjecture,
% 1.47/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.47/0.92 thf(zf_stmt_15, negated_conjecture,
% 1.47/0.92 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.47/0.92 thf(zip_derived_cl16, plain,
% 1.47/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.47/0.92 thf(zip_derived_cl341, plain,
% 1.47/0.92 ((((sk_c9) = (sk_c8))
% 1.47/0.92 | ((inverse @ sk_c4) = (sk_c5))
% 1.47/0.92 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl329, zip_derived_cl16])).
% 1.47/0.92 thf(zip_derived_cl353, plain,
% 1.47/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((sk_c9) = (sk_c8)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl341])).
% 1.47/0.92 thf(prove_this_8, conjecture,
% 1.47/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 1.47/0.92 thf(zf_stmt_16, negated_conjecture,
% 1.47/0.92 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.47/0.92 thf(zip_derived_cl10, plain,
% 1.47/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.47/0.92 thf(zip_derived_cl356, plain,
% 1.47/0.92 ((((multiply @ sk_c1 @ sk_c9) = (sk_c9))
% 1.47/0.92 | ((inverse @ sk_c4) = (sk_c5))
% 1.47/0.92 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl353, zip_derived_cl10])).
% 1.47/0.92 thf(zip_derived_cl362, plain,
% 1.47/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl356])).
% 1.47/0.92 thf(zip_derived_cl1680, plain, (((inverse @ sk_c1) = (sk_c9))),
% 1.47/0.92 inference('clc', [status(thm)], [zip_derived_cl1679, zip_derived_cl1460])).
% 1.47/0.92 thf(zip_derived_cl409, plain,
% 1.47/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl383, zip_derived_cl94])).
% 1.47/0.92 thf(zip_derived_cl1, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.47/0.92 thf(zip_derived_cl499, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl409, zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl1680, plain, (((inverse @ sk_c1) = (sk_c9))),
% 1.47/0.92 inference('clc', [status(thm)], [zip_derived_cl1679, zip_derived_cl1460])).
% 1.47/0.92 thf(zip_derived_cl1698, plain,
% 1.47/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((identity) = (inverse @ sk_c1)))),
% 1.47/0.92 inference('demod', [status(thm)],
% 1.47/0.92 [zip_derived_cl362, zip_derived_cl1680, zip_derived_cl499,
% 1.47/0.92 zip_derived_cl1680])).
% 1.47/0.92 thf(prove_this_25, conjecture,
% 1.47/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.47/0.92 thf(zf_stmt_17, negated_conjecture,
% 1.47/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.47/0.92 thf(zip_derived_cl27, plain,
% 1.47/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.47/0.92 thf(zip_derived_cl409, plain,
% 1.47/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl383, zip_derived_cl94])).
% 1.47/0.92 thf(zip_derived_cl508, plain,
% 1.47/0.92 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl409])).
% 1.47/0.92 thf(prove_this_19, conjecture,
% 1.47/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 1.47/0.92 thf(zf_stmt_18, negated_conjecture,
% 1.47/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.47/0.92 thf(zip_derived_cl21, plain,
% 1.47/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.47/0.92 thf(zip_derived_cl607, plain,
% 1.47/0.92 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c3))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl508, zip_derived_cl21])).
% 1.47/0.92 thf(zip_derived_cl1, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.47/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.47/0.92 thf(zip_derived_cl623, plain,
% 1.47/0.92 ((((identity) = (sk_c3))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl607, zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl624, plain,
% 1.47/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9)) | ((identity) = (sk_c3)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl623])).
% 1.47/0.92 thf(prove_this_13, conjecture,
% 1.47/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.47/0.92 thf(zf_stmt_19, negated_conjecture,
% 1.47/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.47/0.92 thf(zip_derived_cl15, plain,
% 1.47/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.47/0.92 thf(zip_derived_cl641, plain,
% 1.47/0.92 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl624, zip_derived_cl15])).
% 1.47/0.92 thf(zip_derived_cl383, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 1.47/0.92 thf(zip_derived_cl651, plain,
% 1.47/0.92 ((((sk_c9) = (sk_c8))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl641, zip_derived_cl383])).
% 1.47/0.92 thf(zip_derived_cl652, plain,
% 1.47/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9)) | ((sk_c9) = (sk_c8)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl651])).
% 1.47/0.92 thf(prove_this_7, conjecture,
% 1.47/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 1.47/0.92 thf(zf_stmt_20, negated_conjecture,
% 1.47/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.47/0.92 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 1.47/0.92 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.47/0.92 thf(zip_derived_cl9, plain,
% 1.47/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.47/0.92 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.47/0.92 thf(zip_derived_cl660, plain,
% 1.47/0.92 ((((multiply @ sk_c1 @ sk_c9) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl652, zip_derived_cl9])).
% 1.47/0.92 thf(zip_derived_cl666, plain,
% 1.47/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.47/0.92 | ((multiply @ sk_c1 @ sk_c9) = (sk_c9)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl660])).
% 1.47/0.92 thf(zip_derived_cl1680, plain, (((inverse @ sk_c1) = (sk_c9))),
% 1.47/0.92 inference('clc', [status(thm)], [zip_derived_cl1679, zip_derived_cl1460])).
% 1.47/0.92 thf(zip_derived_cl1680, plain, (((inverse @ sk_c1) = (sk_c9))),
% 1.47/0.92 inference('clc', [status(thm)], [zip_derived_cl1679, zip_derived_cl1460])).
% 1.47/0.92 thf(zip_derived_cl499, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl409, zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl1680, plain, (((inverse @ sk_c1) = (sk_c9))),
% 1.47/0.92 inference('clc', [status(thm)], [zip_derived_cl1679, zip_derived_cl1460])).
% 1.47/0.92 thf(zip_derived_cl1824, plain,
% 1.47/0.92 ((((multiply @ sk_c4 @ sk_c5) = (inverse @ sk_c1))
% 1.47/0.92 | ((identity) = (inverse @ sk_c1)))),
% 1.47/0.92 inference('demod', [status(thm)],
% 1.47/0.92 [zip_derived_cl666, zip_derived_cl1680, zip_derived_cl1680,
% 1.47/0.92 zip_derived_cl499, zip_derived_cl1680])).
% 1.47/0.92 thf(zip_derived_cl1827, plain,
% 1.47/0.92 ((((multiply @ sk_c4 @ (inverse @ sk_c4)) = (inverse @ sk_c1))
% 1.47/0.92 | ((identity) = (inverse @ sk_c1))
% 1.47/0.92 | ((identity) = (inverse @ sk_c1)))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl1698, zip_derived_cl1824])).
% 1.47/0.92 thf(zip_derived_cl499, plain,
% 1.47/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl409, zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl1828, plain,
% 1.47/0.92 ((((identity) = (inverse @ sk_c1))
% 1.47/0.92 | ((identity) = (inverse @ sk_c1))
% 1.47/0.92 | ((identity) = (inverse @ sk_c1)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl1827, zip_derived_cl499])).
% 1.47/0.92 thf(zip_derived_cl1829, plain, (((identity) = (inverse @ sk_c1))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1828])).
% 1.47/0.92 thf(zip_derived_cl1853, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 (((identity) != (identity))
% 1.47/0.92 | ((inverse @ X0) != (identity))
% 1.47/0.92 | ((X0) != (identity))
% 1.47/0.92 | ((X1) != (identity))
% 1.47/0.92 | ((inverse @ X1) != (identity)))),
% 1.47/0.92 inference('demod', [status(thm)],
% 1.47/0.92 [zip_derived_cl1725, zip_derived_cl1829])).
% 1.47/0.92 thf(zip_derived_cl1854, plain,
% 1.47/0.92 (![X0 : $i, X1 : $i]:
% 1.47/0.92 (((inverse @ X1) != (identity))
% 1.47/0.92 | ((X1) != (identity))
% 1.47/0.92 | ((X0) != (identity))
% 1.47/0.92 | ((inverse @ X0) != (identity)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1853])).
% 1.47/0.92 thf(zip_derived_cl1864, plain,
% 1.47/0.92 (![X0 : $i]:
% 1.47/0.92 (((inverse @ X0) != (identity))
% 1.47/0.92 | ((X0) != (identity))
% 1.47/0.92 | ((inverse @ identity) != (identity)))),
% 1.47/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1854])).
% 1.47/0.92 thf(zip_derived_cl290, plain, (((inverse @ identity) = (identity))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl1865, plain,
% 1.47/0.92 (![X0 : $i]:
% 1.47/0.92 (((inverse @ X0) != (identity))
% 1.47/0.92 | ((X0) != (identity))
% 1.47/0.92 | ((identity) != (identity)))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl1864, zip_derived_cl290])).
% 1.47/0.92 thf(zip_derived_cl1866, plain,
% 1.47/0.92 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1865])).
% 1.47/0.92 thf(zip_derived_cl1867, plain, (((inverse @ identity) != (identity))),
% 1.47/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1866])).
% 1.47/0.92 thf(zip_derived_cl290, plain, (((inverse @ identity) = (identity))),
% 1.47/0.92 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 1.47/0.92 thf(zip_derived_cl1868, plain, (((identity) != (identity))),
% 1.47/0.92 inference('demod', [status(thm)], [zip_derived_cl1867, zip_derived_cl290])).
% 1.47/0.92 thf(zip_derived_cl1869, plain, ($false),
% 1.47/0.92 inference('simplify', [status(thm)], [zip_derived_cl1868])).
% 1.47/0.92
% 1.47/0.92 % SZS output end Refutation
% 1.47/0.92
% 1.47/0.92
% 1.47/0.92 % Terminating...
% 1.48/0.94 % Runner terminated.
% 1.48/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------