TSTP Solution File: GRP243-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP243-1 : 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.3AAHu9REr0 true
% Computer : n024.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 01:50:52 EDT 2023
% Result : Unsatisfiable 4.94s 1.29s
% Output : Refutation 4.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP243-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3AAHu9REr0 true
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 23:15:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.45/0.65 % Total configuration time : 435
% 0.45/0.65 % Estimated wc time : 1092
% 0.45/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.94/1.29 % Solved by fo/fo7.sh.
% 4.94/1.29 % done 1515 iterations in 0.539s
% 4.94/1.29 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.94/1.29 % SZS output start Refutation
% 4.94/1.29 thf(sk_c8_type, type, sk_c8: $i).
% 4.94/1.29 thf(sk_c11_type, type, sk_c11: $i).
% 4.94/1.29 thf(sk_c2_type, type, sk_c2: $i).
% 4.94/1.29 thf(sk_c10_type, type, sk_c10: $i).
% 4.94/1.29 thf(sk_c7_type, type, sk_c7: $i).
% 4.94/1.29 thf(identity_type, type, identity: $i).
% 4.94/1.29 thf(multiply_type, type, multiply: $i > $i > $i).
% 4.94/1.29 thf(sk_c12_type, type, sk_c12: $i).
% 4.94/1.29 thf(sk_c4_type, type, sk_c4: $i).
% 4.94/1.29 thf(inverse_type, type, inverse: $i > $i).
% 4.94/1.29 thf(sk_c6_type, type, sk_c6: $i).
% 4.94/1.29 thf(sk_c3_type, type, sk_c3: $i).
% 4.94/1.29 thf(sk_c9_type, type, sk_c9: $i).
% 4.94/1.29 thf(sk_c5_type, type, sk_c5: $i).
% 4.94/1.29 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(associativity, axiom,
% 4.94/1.29 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 4.94/1.29 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 4.94/1.29 thf(zip_derived_cl2, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.94/1.29 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.94/1.29 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.94/1.29 inference('cnf', [status(esa)], [associativity])).
% 4.94/1.29 thf(zip_derived_cl203, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 ((multiply @ identity @ X0)
% 4.94/1.29 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.94/1.29 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 4.94/1.29 thf(zip_derived_cl0, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_identity])).
% 4.94/1.29 thf(zip_derived_cl235, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl0])).
% 4.94/1.29 thf(zip_derived_cl251, plain,
% 4.94/1.29 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl235])).
% 4.94/1.29 thf(zip_derived_cl235, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl0])).
% 4.94/1.29 thf(zip_derived_cl235, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl0])).
% 4.94/1.29 thf(zip_derived_cl248, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl235, zip_derived_cl235])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl251, plain,
% 4.94/1.29 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl235])).
% 4.94/1.29 thf(zip_derived_cl842, plain,
% 4.94/1.29 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl801, zip_derived_cl251])).
% 4.94/1.29 thf(prove_this_64, conjecture,
% 4.94/1.29 (~( ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( inverse @ X4 ) != ( X3 ) ) |
% 4.94/1.29 ( ( multiply @ X4 @ X3 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( inverse @ X2 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c12 ) ) |
% 4.94/1.29 ( ( inverse @ X1 ) != ( sk_c12 ) ) |
% 4.94/1.29 ( ( multiply @ X9 @ sk_c10 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( inverse @ X8 ) != ( X9 ) ) |
% 4.94/1.29 ( ( multiply @ X8 @ X9 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ X7 @ sk_c11 ) != ( sk_c12 ) ) |
% 4.94/1.29 ( ( inverse @ X7 ) != ( sk_c12 ) ) |
% 4.94/1.29 ( ( inverse @ X6 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ X6 @ sk_c11 ) != ( sk_c10 ) ) |
% 4.94/1.29 ( ( inverse @ X5 ) != ( sk_c12 ) ) |
% 4.94/1.29 ( ( multiply @ X5 @ sk_c12 ) != ( sk_c11 ) ) ))).
% 4.94/1.29 thf(zf_stmt_0, negated_conjecture,
% 4.94/1.29 (( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( inverse @ X4 ) != ( X3 ) ) |
% 4.94/1.29 ( ( multiply @ X4 @ X3 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( inverse @ X2 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c12 ) ) |
% 4.94/1.29 ( ( inverse @ X1 ) != ( sk_c12 ) ) |
% 4.94/1.29 ( ( multiply @ X9 @ sk_c10 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( inverse @ X8 ) != ( X9 ) ) |
% 4.94/1.29 ( ( multiply @ X8 @ X9 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ X7 @ sk_c11 ) != ( sk_c12 ) ) |
% 4.94/1.29 ( ( inverse @ X7 ) != ( sk_c12 ) ) | ( ( inverse @ X6 ) != ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ X6 @ sk_c11 ) != ( sk_c10 ) ) |
% 4.94/1.29 ( ( inverse @ X5 ) != ( sk_c12 ) ) |
% 4.94/1.29 ( ( multiply @ X5 @ sk_c12 ) != ( sk_c11 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_64])).
% 4.94/1.29 thf(zip_derived_cl66, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.94/1.29 X7 : $i, X8 : $i]:
% 4.94/1.29 (((multiply @ X0 @ sk_c10) != (sk_c11))
% 4.94/1.29 | ((inverse @ X1) != (X0))
% 4.94/1.29 | ((multiply @ X1 @ X0) != (sk_c11))
% 4.94/1.29 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 4.94/1.29 | ((inverse @ X2) != (sk_c11))
% 4.94/1.29 | ((multiply @ X3 @ sk_c11) != (sk_c12))
% 4.94/1.29 | ((inverse @ X3) != (sk_c12))
% 4.94/1.29 | ((multiply @ X4 @ sk_c10) != (sk_c11))
% 4.94/1.29 | ((inverse @ X5) != (X4))
% 4.94/1.29 | ((multiply @ X5 @ X4) != (sk_c11))
% 4.94/1.29 | ((multiply @ X6 @ sk_c11) != (sk_c12))
% 4.94/1.29 | ((inverse @ X6) != (sk_c12))
% 4.94/1.29 | ((inverse @ X7) != (sk_c11))
% 4.94/1.29 | ((multiply @ X7 @ sk_c11) != (sk_c10))
% 4.94/1.29 | ((inverse @ X8) != (sk_c12))
% 4.94/1.29 | ((multiply @ X8 @ sk_c12) != (sk_c11)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.94/1.29 thf(zip_derived_cl67, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 4.94/1.29 (((multiply @ X0 @ sk_c12) != (sk_c11))
% 4.94/1.29 | ((inverse @ X0) != (sk_c12))
% 4.94/1.29 | ((multiply @ X1 @ sk_c11) != (sk_c10))
% 4.94/1.29 | ((inverse @ X1) != (sk_c11))
% 4.94/1.29 | ((inverse @ X2) != (sk_c12))
% 4.94/1.29 | ((multiply @ X2 @ sk_c11) != (sk_c12))
% 4.94/1.29 | ((multiply @ X4 @ X3) != (sk_c11))
% 4.94/1.29 | ((inverse @ X4) != (X3))
% 4.94/1.29 | ((multiply @ X3 @ sk_c10) != (sk_c11))
% 4.94/1.29 | ((inverse @ X5) != (sk_c12))
% 4.94/1.29 | ((multiply @ X5 @ sk_c11) != (sk_c12))
% 4.94/1.29 | ((inverse @ X6) != (sk_c11))
% 4.94/1.29 | ((multiply @ X6 @ sk_c10) != (sk_c11))
% 4.94/1.29 | ((multiply @ X7 @ (inverse @ X7)) != (sk_c11))
% 4.94/1.29 | ((multiply @ (inverse @ X7) @ sk_c10) != (sk_c11)))),
% 4.94/1.29 inference('eq_res', [status(thm)], [zip_derived_cl66])).
% 4.94/1.29 thf(zip_derived_cl850, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 4.94/1.29 (((X0) != (sk_c12))
% 4.94/1.29 | ((multiply @ (inverse @ X1) @ sk_c10) != (sk_c11))
% 4.94/1.29 | ((multiply @ X1 @ (inverse @ X1)) != (sk_c11))
% 4.94/1.29 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 4.94/1.29 | ((inverse @ X2) != (sk_c11))
% 4.94/1.29 | ((multiply @ X3 @ sk_c11) != (sk_c12))
% 4.94/1.29 | ((inverse @ X3) != (sk_c12))
% 4.94/1.29 | ((multiply @ X4 @ sk_c10) != (sk_c11))
% 4.94/1.29 | ((inverse @ X5) != (X4))
% 4.94/1.29 | ((multiply @ X5 @ X4) != (sk_c11))
% 4.94/1.29 | ((multiply @ X6 @ sk_c11) != (sk_c12))
% 4.94/1.29 | ((inverse @ X6) != (sk_c12))
% 4.94/1.29 | ((inverse @ X7) != (sk_c11))
% 4.94/1.29 | ((multiply @ X7 @ sk_c11) != (sk_c10))
% 4.94/1.29 | ((multiply @ (inverse @ X0) @ sk_c12) != (sk_c11)))),
% 4.94/1.29 inference('sup-', [status(thm)], [zip_derived_cl842, zip_derived_cl67])).
% 4.94/1.29 thf(zip_derived_cl1027, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 4.94/1.29 (((multiply @ (inverse @ sk_c12) @ sk_c12) != (sk_c11))
% 4.94/1.29 | ((multiply @ X0 @ sk_c11) != (sk_c10))
% 4.94/1.29 | ((inverse @ X0) != (sk_c11))
% 4.94/1.29 | ((inverse @ X1) != (sk_c12))
% 4.94/1.29 | ((multiply @ X1 @ sk_c11) != (sk_c12))
% 4.94/1.29 | ((multiply @ X3 @ X2) != (sk_c11))
% 4.94/1.29 | ((inverse @ X3) != (X2))
% 4.94/1.29 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 4.94/1.29 | ((inverse @ X4) != (sk_c12))
% 4.94/1.29 | ((multiply @ X4 @ sk_c11) != (sk_c12))
% 4.94/1.29 | ((inverse @ X5) != (sk_c11))
% 4.94/1.29 | ((multiply @ X5 @ sk_c10) != (sk_c11))
% 4.94/1.29 | ((multiply @ X6 @ (inverse @ X6)) != (sk_c11))
% 4.94/1.29 | ((multiply @ (inverse @ X6) @ sk_c10) != (sk_c11)))),
% 4.94/1.29 inference('eq_res', [status(thm)], [zip_derived_cl850])).
% 4.94/1.29 thf(zip_derived_cl1028, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 4.94/1.29 (((multiply @ (inverse @ sk_c12) @ sk_c12) != (sk_c11))
% 4.94/1.29 | ((multiply @ X0 @ (multiply @ (inverse @ sk_c12) @ sk_c12))
% 4.94/1.29 != (sk_c10))
% 4.94/1.29 | ((inverse @ X0) != (multiply @ (inverse @ sk_c12) @ sk_c12))
% 4.94/1.29 | ((inverse @ X1) != (sk_c12))
% 4.94/1.29 | ((multiply @ X1 @ (multiply @ (inverse @ sk_c12) @ sk_c12))
% 4.94/1.29 != (sk_c12))
% 4.94/1.29 | ((multiply @ X3 @ X2) != (multiply @ (inverse @ sk_c12) @ sk_c12))
% 4.94/1.29 | ((inverse @ X3) != (X2))
% 4.94/1.29 | ((multiply @ X2 @ sk_c10)
% 4.94/1.29 != (multiply @ (inverse @ sk_c12) @ sk_c12))
% 4.94/1.29 | ((inverse @ X4) != (sk_c12))
% 4.94/1.29 | ((multiply @ X4 @ (multiply @ (inverse @ sk_c12) @ sk_c12))
% 4.94/1.29 != (sk_c12))
% 4.94/1.29 | ((inverse @ X5) != (multiply @ (inverse @ sk_c12) @ sk_c12))
% 4.94/1.29 | ((multiply @ X5 @ sk_c10)
% 4.94/1.29 != (multiply @ (inverse @ sk_c12) @ sk_c12))
% 4.94/1.29 | ((multiply @ X6 @ (inverse @ X6))
% 4.94/1.29 != (multiply @ (inverse @ sk_c12) @ sk_c12))
% 4.94/1.29 | ((multiply @ (inverse @ X6) @ sk_c10)
% 4.94/1.29 != (multiply @ (inverse @ sk_c12) @ sk_c12)))),
% 4.94/1.29 inference('local_rewriting', [status(thm)], [zip_derived_cl1027])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl1029, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 4.94/1.29 (((identity) != (sk_c11))
% 4.94/1.29 | ((X0) != (sk_c10))
% 4.94/1.29 | ((inverse @ X0) != (identity))
% 4.94/1.29 | ((inverse @ X1) != (sk_c12))
% 4.94/1.29 | ((X1) != (sk_c12))
% 4.94/1.29 | ((multiply @ X3 @ X2) != (identity))
% 4.94/1.29 | ((inverse @ X3) != (X2))
% 4.94/1.29 | ((multiply @ X2 @ sk_c10) != (identity))
% 4.94/1.29 | ((inverse @ X4) != (sk_c12))
% 4.94/1.29 | ((X4) != (sk_c12))
% 4.94/1.29 | ((inverse @ X5) != (identity))
% 4.94/1.29 | ((multiply @ X5 @ sk_c10) != (identity))
% 4.94/1.29 | ((multiply @ X6 @ (inverse @ X6)) != (identity))
% 4.94/1.29 | ((multiply @ (inverse @ X6) @ sk_c10) != (identity)))),
% 4.94/1.29 inference('demod', [status(thm)],
% 4.94/1.29 [zip_derived_cl1028, zip_derived_cl1, zip_derived_cl1,
% 4.94/1.29 zip_derived_cl801, zip_derived_cl1, zip_derived_cl1,
% 4.94/1.29 zip_derived_cl801, zip_derived_cl1, zip_derived_cl1,
% 4.94/1.29 zip_derived_cl1, zip_derived_cl801, zip_derived_cl1,
% 4.94/1.29 zip_derived_cl1, zip_derived_cl1, zip_derived_cl1])).
% 4.94/1.29 thf(zip_derived_cl842, plain,
% 4.94/1.29 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl801, zip_derived_cl251])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl849, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl842, zip_derived_cl1])).
% 4.94/1.29 thf(zip_derived_cl1191, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 4.94/1.29 (((identity) != (sk_c11))
% 4.94/1.29 | ((X0) != (sk_c10))
% 4.94/1.29 | ((inverse @ X0) != (identity))
% 4.94/1.29 | ((inverse @ X1) != (sk_c12))
% 4.94/1.29 | ((X1) != (sk_c12))
% 4.94/1.29 | ((multiply @ X3 @ X2) != (identity))
% 4.94/1.29 | ((inverse @ X3) != (X2))
% 4.94/1.29 | ((multiply @ X2 @ sk_c10) != (identity))
% 4.94/1.29 | ((inverse @ X4) != (sk_c12))
% 4.94/1.29 | ((X4) != (sk_c12))
% 4.94/1.29 | ((inverse @ X5) != (identity))
% 4.94/1.29 | ((multiply @ X5 @ sk_c10) != (identity))
% 4.94/1.29 | ((identity) != (identity))
% 4.94/1.29 | ((multiply @ (inverse @ X6) @ sk_c10) != (identity)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl1029, zip_derived_cl849])).
% 4.94/1.29 thf(zip_derived_cl1192, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 4.94/1.29 (((multiply @ (inverse @ X6) @ sk_c10) != (identity))
% 4.94/1.29 | ((multiply @ X5 @ sk_c10) != (identity))
% 4.94/1.29 | ((inverse @ X5) != (identity))
% 4.94/1.29 | ((X4) != (sk_c12))
% 4.94/1.29 | ((inverse @ X4) != (sk_c12))
% 4.94/1.29 | ((multiply @ X2 @ sk_c10) != (identity))
% 4.94/1.29 | ((inverse @ X3) != (X2))
% 4.94/1.29 | ((multiply @ X3 @ X2) != (identity))
% 4.94/1.29 | ((X1) != (sk_c12))
% 4.94/1.29 | ((inverse @ X1) != (sk_c12))
% 4.94/1.29 | ((inverse @ X0) != (identity))
% 4.94/1.29 | ((X0) != (sk_c10))
% 4.94/1.29 | ((identity) != (sk_c11)))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl1191])).
% 4.94/1.29 thf(prove_this_55, conjecture,
% 4.94/1.29 (~( ( ( inverse @ sk_c8 ) = ( sk_c9 ) ) |
% 4.94/1.29 ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) ))).
% 4.94/1.29 thf(zf_stmt_1, negated_conjecture,
% 4.94/1.29 (( ( inverse @ sk_c8 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c4 ) = ( sk_c5 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_55])).
% 4.94/1.29 thf(zip_derived_cl57, plain,
% 4.94/1.29 ((((inverse @ sk_c8) = (sk_c9)) | ((inverse @ sk_c4) = (sk_c5)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.94/1.29 thf(prove_this_48, conjecture,
% 4.94/1.29 (~( ( ( inverse @ sk_c8 ) = ( sk_c9 ) ) |
% 4.94/1.29 ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) ))).
% 4.94/1.29 thf(zf_stmt_2, negated_conjecture,
% 4.94/1.29 (( ( inverse @ sk_c8 ) = ( sk_c9 ) ) |
% 4.94/1.29 ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_48])).
% 4.94/1.29 thf(zip_derived_cl50, plain,
% 4.94/1.29 ((((inverse @ sk_c8) = (sk_c9)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c11)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.94/1.29 thf(zip_derived_cl151, plain,
% 4.94/1.29 ((((multiply @ sk_c4 @ (inverse @ sk_c4)) = (sk_c11))
% 4.94/1.29 | ((inverse @ sk_c8) = (sk_c9))
% 4.94/1.29 | ((inverse @ sk_c8) = (sk_c9)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl50])).
% 4.94/1.29 thf(zip_derived_cl153, plain,
% 4.94/1.29 ((((inverse @ sk_c8) = (sk_c9))
% 4.94/1.29 | ((multiply @ sk_c4 @ (inverse @ sk_c4)) = (sk_c11)))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl151])).
% 4.94/1.29 thf(zip_derived_cl849, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl842, zip_derived_cl1])).
% 4.94/1.29 thf(zip_derived_cl7900, plain,
% 4.94/1.29 ((((inverse @ sk_c8) = (sk_c9)) | ((identity) = (sk_c11)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl153, zip_derived_cl849])).
% 4.94/1.29 thf(prove_this_54, conjecture,
% 4.94/1.29 (~( ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c11 ) ) |
% 4.94/1.29 ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) ))).
% 4.94/1.29 thf(zf_stmt_3, negated_conjecture,
% 4.94/1.29 (( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c11 ) ) |
% 4.94/1.29 ( ( inverse @ sk_c4 ) = ( sk_c5 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_54])).
% 4.94/1.29 thf(zip_derived_cl56, plain,
% 4.94/1.29 ((((multiply @ sk_c8 @ sk_c9) = (sk_c11)) | ((inverse @ sk_c4) = (sk_c5)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.94/1.29 thf(prove_this_47, conjecture,
% 4.94/1.29 (~( ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) ))).
% 4.94/1.29 thf(zf_stmt_4, negated_conjecture,
% 4.94/1.29 (( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_47])).
% 4.94/1.29 thf(zip_derived_cl49, plain,
% 4.94/1.29 ((((multiply @ sk_c8 @ sk_c9) = (sk_c11))
% 4.94/1.29 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.94/1.29 thf(zip_derived_cl2645, plain,
% 4.94/1.29 ((((multiply @ sk_c4 @ (inverse @ sk_c4)) = (sk_c11))
% 4.94/1.29 | ((multiply @ sk_c8 @ sk_c9) = (sk_c11))
% 4.94/1.29 | ((multiply @ sk_c8 @ sk_c9) = (sk_c11)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl49])).
% 4.94/1.29 thf(zip_derived_cl849, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl842, zip_derived_cl1])).
% 4.94/1.29 thf(zip_derived_cl2661, plain,
% 4.94/1.29 ((((identity) = (sk_c11))
% 4.94/1.29 | ((multiply @ sk_c8 @ sk_c9) = (sk_c11))
% 4.94/1.29 | ((multiply @ sk_c8 @ sk_c9) = (sk_c11)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl2645, zip_derived_cl849])).
% 4.94/1.29 thf(zip_derived_cl2662, plain,
% 4.94/1.29 ((((multiply @ sk_c8 @ sk_c9) = (sk_c11)) | ((identity) = (sk_c11)))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl2661])).
% 4.94/1.29 thf(zip_derived_cl7912, plain,
% 4.94/1.29 ((((multiply @ sk_c8 @ (inverse @ sk_c8)) = (sk_c11))
% 4.94/1.29 | ((identity) = (sk_c11))
% 4.94/1.29 | ((identity) = (sk_c11)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl7900, zip_derived_cl2662])).
% 4.94/1.29 thf(zip_derived_cl849, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl842, zip_derived_cl1])).
% 4.94/1.29 thf(zip_derived_cl7950, plain,
% 4.94/1.29 ((((identity) = (sk_c11))
% 4.94/1.29 | ((identity) = (sk_c11))
% 4.94/1.29 | ((identity) = (sk_c11)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl7912, zip_derived_cl849])).
% 4.94/1.29 thf(zip_derived_cl7951, plain, (((identity) = (sk_c11))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl7950])).
% 4.94/1.29 thf(zip_derived_cl8089, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 4.94/1.29 (((multiply @ (inverse @ X6) @ sk_c10) != (identity))
% 4.94/1.29 | ((multiply @ X5 @ sk_c10) != (identity))
% 4.94/1.29 | ((inverse @ X5) != (identity))
% 4.94/1.29 | ((X4) != (sk_c12))
% 4.94/1.29 | ((inverse @ X4) != (sk_c12))
% 4.94/1.29 | ((multiply @ X2 @ sk_c10) != (identity))
% 4.94/1.29 | ((inverse @ X3) != (X2))
% 4.94/1.29 | ((multiply @ X3 @ X2) != (identity))
% 4.94/1.29 | ((X1) != (sk_c12))
% 4.94/1.29 | ((inverse @ X1) != (sk_c12))
% 4.94/1.29 | ((inverse @ X0) != (identity))
% 4.94/1.29 | ((X0) != (sk_c10))
% 4.94/1.29 | ((identity) != (identity)))),
% 4.94/1.29 inference('demod', [status(thm)],
% 4.94/1.29 [zip_derived_cl1192, zip_derived_cl7951])).
% 4.94/1.29 thf(zip_derived_cl8090, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 4.94/1.29 (((X0) != (sk_c10))
% 4.94/1.29 | ((inverse @ X0) != (identity))
% 4.94/1.29 | ((inverse @ X1) != (sk_c12))
% 4.94/1.29 | ((X1) != (sk_c12))
% 4.94/1.29 | ((multiply @ X3 @ X2) != (identity))
% 4.94/1.29 | ((inverse @ X3) != (X2))
% 4.94/1.29 | ((multiply @ X2 @ sk_c10) != (identity))
% 4.94/1.29 | ((inverse @ X4) != (sk_c12))
% 4.94/1.29 | ((X4) != (sk_c12))
% 4.94/1.29 | ((inverse @ X5) != (identity))
% 4.94/1.29 | ((multiply @ X5 @ sk_c10) != (identity))
% 4.94/1.29 | ((multiply @ (inverse @ X6) @ sk_c10) != (identity)))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl8089])).
% 4.94/1.29 thf(zip_derived_cl8185, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.94/1.29 (((multiply @ (inverse @ X0) @ sk_c10) != (identity))
% 4.94/1.29 | ((multiply @ X1 @ sk_c10) != (identity))
% 4.94/1.29 | ((inverse @ X1) != (identity))
% 4.94/1.29 | ((X2) != (sk_c12))
% 4.94/1.29 | ((inverse @ X2) != (sk_c12))
% 4.94/1.29 | ((multiply @ X3 @ sk_c10) != (identity))
% 4.94/1.29 | ((inverse @ X4) != (X3))
% 4.94/1.29 | ((multiply @ X4 @ X3) != (identity))
% 4.94/1.29 | ((X5) != (sk_c12))
% 4.94/1.29 | ((inverse @ X5) != (sk_c12))
% 4.94/1.29 | ((inverse @ sk_c10) != (identity)))),
% 4.94/1.29 inference('eq_res', [status(thm)], [zip_derived_cl8090])).
% 4.94/1.29 thf(prove_this_24, conjecture,
% 4.94/1.29 (~( ( ( inverse @ sk_c7 ) = ( sk_c11 ) ) |
% 4.94/1.29 ( ( inverse @ sk_c2 ) = ( sk_c11 ) ) ))).
% 4.94/1.29 thf(zf_stmt_5, negated_conjecture,
% 4.94/1.29 (( ( inverse @ sk_c7 ) = ( sk_c11 ) ) |
% 4.94/1.29 ( ( inverse @ sk_c2 ) = ( sk_c11 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 4.94/1.29 thf(zip_derived_cl26, plain,
% 4.94/1.29 ((((inverse @ sk_c7) = (sk_c11)) | ((inverse @ sk_c2) = (sk_c11)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl96, plain,
% 4.94/1.29 ((((multiply @ sk_c11 @ sk_c2) = (identity))
% 4.94/1.29 | ((inverse @ sk_c7) = (sk_c11)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 4.94/1.29 thf(zip_derived_cl235, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl0])).
% 4.94/1.29 thf(zip_derived_cl262, plain,
% 4.94/1.29 ((((sk_c2) = (multiply @ (inverse @ sk_c11) @ identity))
% 4.94/1.29 | ((inverse @ sk_c7) = (sk_c11)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl235])).
% 4.94/1.29 thf(prove_this_17, conjecture,
% 4.94/1.29 (~( ( ( inverse @ sk_c7 ) = ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 4.94/1.29 thf(zf_stmt_6, negated_conjecture,
% 4.94/1.29 (( ( inverse @ sk_c7 ) = ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c10 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 4.94/1.29 thf(zip_derived_cl19, plain,
% 4.94/1.29 ((((inverse @ sk_c7) = (sk_c11))
% 4.94/1.29 | ((multiply @ sk_c2 @ sk_c11) = (sk_c10)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.94/1.29 thf(zip_derived_cl504, plain,
% 4.94/1.29 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c11)
% 4.94/1.29 = (sk_c10))
% 4.94/1.29 | ((inverse @ sk_c7) = (sk_c11))
% 4.94/1.29 | ((inverse @ sk_c7) = (sk_c11)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl262, zip_derived_cl19])).
% 4.94/1.29 thf(zip_derived_cl2, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.94/1.29 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.94/1.29 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.94/1.29 inference('cnf', [status(esa)], [associativity])).
% 4.94/1.29 thf(zip_derived_cl0, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_identity])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl520, plain,
% 4.94/1.29 ((((identity) = (sk_c10))
% 4.94/1.29 | ((inverse @ sk_c7) = (sk_c11))
% 4.94/1.29 | ((inverse @ sk_c7) = (sk_c11)))),
% 4.94/1.29 inference('demod', [status(thm)],
% 4.94/1.29 [zip_derived_cl504, zip_derived_cl2, zip_derived_cl0,
% 4.94/1.29 zip_derived_cl1])).
% 4.94/1.29 thf(zip_derived_cl521, plain,
% 4.94/1.29 ((((inverse @ sk_c7) = (sk_c11)) | ((identity) = (sk_c10)))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl520])).
% 4.94/1.29 thf(zip_derived_cl7951, plain, (((identity) = (sk_c11))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl7950])).
% 4.94/1.29 thf(zip_derived_cl8054, plain,
% 4.94/1.29 ((((inverse @ sk_c7) = (identity)) | ((identity) = (sk_c10)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl521, zip_derived_cl7951])).
% 4.94/1.29 thf(prove_this_25, conjecture,
% 4.94/1.29 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c11 ) ) |
% 4.94/1.29 ( ( inverse @ sk_c2 ) = ( sk_c11 ) ) ))).
% 4.94/1.29 thf(zf_stmt_7, negated_conjecture,
% 4.94/1.29 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c11 ) ) |
% 4.94/1.29 ( ( inverse @ sk_c2 ) = ( sk_c11 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 4.94/1.29 thf(zip_derived_cl27, plain,
% 4.94/1.29 ((((multiply @ sk_c7 @ sk_c10) = (sk_c11))
% 4.94/1.29 | ((inverse @ sk_c2) = (sk_c11)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.94/1.29 thf(zip_derived_cl842, plain,
% 4.94/1.29 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl801, zip_derived_cl251])).
% 4.94/1.29 thf(zip_derived_cl864, plain,
% 4.94/1.29 ((((sk_c2) = (inverse @ sk_c11))
% 4.94/1.29 | ((multiply @ sk_c7 @ sk_c10) = (sk_c11)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl842])).
% 4.94/1.29 thf(prove_this_18, conjecture,
% 4.94/1.29 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 4.94/1.29 thf(zf_stmt_8, negated_conjecture,
% 4.94/1.29 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c11 ) ) |
% 4.94/1.29 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c10 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 4.94/1.29 thf(zip_derived_cl20, plain,
% 4.94/1.29 ((((multiply @ sk_c7 @ sk_c10) = (sk_c11))
% 4.94/1.29 | ((multiply @ sk_c2 @ sk_c11) = (sk_c10)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.94/1.29 thf(zip_derived_cl1275, plain,
% 4.94/1.29 ((((multiply @ (inverse @ sk_c11) @ sk_c11) = (sk_c10))
% 4.94/1.29 | ((multiply @ sk_c7 @ sk_c10) = (sk_c11))
% 4.94/1.29 | ((multiply @ sk_c7 @ sk_c10) = (sk_c11)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl20])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl1293, plain,
% 4.94/1.29 ((((identity) = (sk_c10))
% 4.94/1.29 | ((multiply @ sk_c7 @ sk_c10) = (sk_c11))
% 4.94/1.29 | ((multiply @ sk_c7 @ sk_c10) = (sk_c11)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl1275, zip_derived_cl1])).
% 4.94/1.29 thf(zip_derived_cl1294, plain,
% 4.94/1.29 ((((multiply @ sk_c7 @ sk_c10) = (sk_c11)) | ((identity) = (sk_c10)))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl1293])).
% 4.94/1.29 thf(zip_derived_cl235, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl0])).
% 4.94/1.29 thf(zip_derived_cl1399, plain,
% 4.94/1.29 ((((sk_c10) = (multiply @ (inverse @ sk_c7) @ sk_c11))
% 4.94/1.29 | ((identity) = (sk_c10)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl1294, zip_derived_cl235])).
% 4.94/1.29 thf(zip_derived_cl1617, plain,
% 4.94/1.29 ((((multiply @ (inverse @ sk_c7) @ sk_c11) != (identity))
% 4.94/1.29 | ((identity) = (sk_c10)))),
% 4.94/1.29 inference('eq_fact', [status(thm)], [zip_derived_cl1399])).
% 4.94/1.29 thf(zip_derived_cl7951, plain, (((identity) = (sk_c11))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl7950])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl8111, plain,
% 4.94/1.29 ((((inverse @ sk_c7) != (identity)) | ((identity) = (sk_c10)))),
% 4.94/1.29 inference('demod', [status(thm)],
% 4.94/1.29 [zip_derived_cl1617, zip_derived_cl7951, zip_derived_cl801])).
% 4.94/1.29 thf(zip_derived_cl8364, plain, (((identity) = (sk_c10))),
% 4.94/1.29 inference('clc', [status(thm)], [zip_derived_cl8054, zip_derived_cl8111])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl8364, plain, (((identity) = (sk_c10))),
% 4.94/1.29 inference('clc', [status(thm)], [zip_derived_cl8054, zip_derived_cl8111])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl8364, plain, (((identity) = (sk_c10))),
% 4.94/1.29 inference('clc', [status(thm)], [zip_derived_cl8054, zip_derived_cl8111])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl8364, plain, (((identity) = (sk_c10))),
% 4.94/1.29 inference('clc', [status(thm)], [zip_derived_cl8054, zip_derived_cl8111])).
% 4.94/1.29 thf(zip_derived_cl0, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_identity])).
% 4.94/1.29 thf(zip_derived_cl235, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl0])).
% 4.94/1.29 thf(zip_derived_cl250, plain,
% 4.94/1.29 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl235])).
% 4.94/1.29 thf(zip_derived_cl235, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl0])).
% 4.94/1.29 thf(zip_derived_cl303, plain,
% 4.94/1.29 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl235])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl786, plain, (((inverse @ identity) = (identity))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl303, zip_derived_cl1])).
% 4.94/1.29 thf(zip_derived_cl8390, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.94/1.29 (((inverse @ X0) != (identity))
% 4.94/1.29 | ((X1) != (identity))
% 4.94/1.29 | ((inverse @ X1) != (identity))
% 4.94/1.29 | ((X2) != (sk_c12))
% 4.94/1.29 | ((inverse @ X2) != (sk_c12))
% 4.94/1.29 | ((X3) != (identity))
% 4.94/1.29 | ((inverse @ X4) != (X3))
% 4.94/1.29 | ((multiply @ X4 @ X3) != (identity))
% 4.94/1.29 | ((X5) != (sk_c12))
% 4.94/1.29 | ((inverse @ X5) != (sk_c12))
% 4.94/1.29 | ((identity) != (identity)))),
% 4.94/1.29 inference('demod', [status(thm)],
% 4.94/1.29 [zip_derived_cl8185, zip_derived_cl8364, zip_derived_cl801,
% 4.94/1.29 zip_derived_cl8364, zip_derived_cl801, zip_derived_cl8364,
% 4.94/1.29 zip_derived_cl801, zip_derived_cl8364, zip_derived_cl786])).
% 4.94/1.29 thf(zip_derived_cl8391, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.94/1.29 (((inverse @ X5) != (sk_c12))
% 4.94/1.29 | ((X5) != (sk_c12))
% 4.94/1.29 | ((multiply @ X4 @ X3) != (identity))
% 4.94/1.29 | ((inverse @ X4) != (X3))
% 4.94/1.29 | ((X3) != (identity))
% 4.94/1.29 | ((inverse @ X2) != (sk_c12))
% 4.94/1.29 | ((X2) != (sk_c12))
% 4.94/1.29 | ((inverse @ X1) != (identity))
% 4.94/1.29 | ((X1) != (identity))
% 4.94/1.29 | ((inverse @ X0) != (identity)))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl8390])).
% 4.94/1.29 thf(zip_derived_cl8400, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.94/1.29 (((inverse @ X0) != (identity))
% 4.94/1.29 | ((X1) != (identity))
% 4.94/1.29 | ((inverse @ X1) != (identity))
% 4.94/1.29 | ((X2) != (sk_c12))
% 4.94/1.29 | ((inverse @ X2) != (sk_c12))
% 4.94/1.29 | ((X3) != (identity))
% 4.94/1.29 | ((inverse @ X4) != (X3))
% 4.94/1.29 | ((multiply @ X4 @ X3) != (identity))
% 4.94/1.29 | ((inverse @ sk_c12) != (sk_c12)))),
% 4.94/1.29 inference('eq_res', [status(thm)], [zip_derived_cl8391])).
% 4.94/1.29 thf(prove_this_37, conjecture,
% 4.94/1.29 (~( ( ( multiply @ sk_c6 @ sk_c11 ) = ( sk_c12 ) ) |
% 4.94/1.29 ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c12 ) ) ))).
% 4.94/1.29 thf(zf_stmt_9, negated_conjecture,
% 4.94/1.29 (( ( multiply @ sk_c6 @ sk_c11 ) = ( sk_c12 ) ) |
% 4.94/1.29 ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c12 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 4.94/1.29 thf(zip_derived_cl39, plain,
% 4.94/1.29 ((((multiply @ sk_c6 @ sk_c11) = (sk_c12))
% 4.94/1.29 | ((multiply @ sk_c3 @ sk_c11) = (sk_c12)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_9])).
% 4.94/1.29 thf(zip_derived_cl7951, plain, (((identity) = (sk_c11))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl7950])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl7951, plain, (((identity) = (sk_c11))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl7950])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl7996, plain,
% 4.94/1.29 ((((sk_c6) = (sk_c12)) | ((sk_c3) = (sk_c12)))),
% 4.94/1.29 inference('demod', [status(thm)],
% 4.94/1.29 [zip_derived_cl39, zip_derived_cl7951, zip_derived_cl801,
% 4.94/1.29 zip_derived_cl7951, zip_derived_cl801])).
% 4.94/1.29 thf(prove_this_30, conjecture,
% 4.94/1.29 (~( ( ( multiply @ sk_c6 @ sk_c11 ) = ( sk_c12 ) ) |
% 4.94/1.29 ( ( inverse @ sk_c3 ) = ( sk_c12 ) ) ))).
% 4.94/1.29 thf(zf_stmt_10, negated_conjecture,
% 4.94/1.29 (( ( multiply @ sk_c6 @ sk_c11 ) = ( sk_c12 ) ) |
% 4.94/1.29 ( ( inverse @ sk_c3 ) = ( sk_c12 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 4.94/1.29 thf(zip_derived_cl32, plain,
% 4.94/1.29 ((((multiply @ sk_c6 @ sk_c11) = (sk_c12))
% 4.94/1.29 | ((inverse @ sk_c3) = (sk_c12)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_10])).
% 4.94/1.29 thf(zip_derived_cl7951, plain, (((identity) = (sk_c11))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl7950])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl7990, plain,
% 4.94/1.29 ((((sk_c6) = (sk_c12)) | ((inverse @ sk_c3) = (sk_c12)))),
% 4.94/1.29 inference('demod', [status(thm)],
% 4.94/1.29 [zip_derived_cl32, zip_derived_cl7951, zip_derived_cl801])).
% 4.94/1.29 thf(zip_derived_cl8328, plain,
% 4.94/1.29 ((((inverse @ sk_c12) = (sk_c12))
% 4.94/1.29 | ((sk_c6) = (sk_c12))
% 4.94/1.29 | ((sk_c6) = (sk_c12)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl7996, zip_derived_cl7990])).
% 4.94/1.29 thf(zip_derived_cl8333, plain,
% 4.94/1.29 ((((sk_c6) = (sk_c12)) | ((inverse @ sk_c12) = (sk_c12)))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl8328])).
% 4.94/1.29 thf(prove_this_29, conjecture,
% 4.94/1.29 (~( ( ( inverse @ sk_c6 ) = ( sk_c12 ) ) |
% 4.94/1.29 ( ( inverse @ sk_c3 ) = ( sk_c12 ) ) ))).
% 4.94/1.29 thf(zf_stmt_11, negated_conjecture,
% 4.94/1.29 (( ( inverse @ sk_c6 ) = ( sk_c12 ) ) |
% 4.94/1.29 ( ( inverse @ sk_c3 ) = ( sk_c12 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 4.94/1.29 thf(zip_derived_cl31, plain,
% 4.94/1.29 ((((inverse @ sk_c6) = (sk_c12)) | ((inverse @ sk_c3) = (sk_c12)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_11])).
% 4.94/1.29 thf(zip_derived_cl1, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_inverse])).
% 4.94/1.29 thf(zip_derived_cl100, plain,
% 4.94/1.29 ((((multiply @ sk_c12 @ sk_c3) = (identity))
% 4.94/1.29 | ((inverse @ sk_c6) = (sk_c12)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 4.94/1.29 thf(zip_derived_cl235, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl203, zip_derived_cl0])).
% 4.94/1.29 thf(zip_derived_cl256, plain,
% 4.94/1.29 ((((sk_c3) = (multiply @ (inverse @ sk_c12) @ identity))
% 4.94/1.29 | ((inverse @ sk_c6) = (sk_c12)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl235])).
% 4.94/1.29 thf(prove_this_36, conjecture,
% 4.94/1.29 (~( ( ( inverse @ sk_c6 ) = ( sk_c12 ) ) |
% 4.94/1.29 ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c12 ) ) ))).
% 4.94/1.29 thf(zf_stmt_12, negated_conjecture,
% 4.94/1.29 (( ( inverse @ sk_c6 ) = ( sk_c12 ) ) |
% 4.94/1.29 ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c12 ) )),
% 4.94/1.29 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 4.94/1.29 thf(zip_derived_cl38, plain,
% 4.94/1.29 ((((inverse @ sk_c6) = (sk_c12))
% 4.94/1.29 | ((multiply @ sk_c3 @ sk_c11) = (sk_c12)))),
% 4.94/1.29 inference('cnf', [status(esa)], [zf_stmt_12])).
% 4.94/1.29 thf(zip_derived_cl447, plain,
% 4.94/1.29 ((((multiply @ (multiply @ (inverse @ sk_c12) @ identity) @ sk_c11)
% 4.94/1.29 = (sk_c12))
% 4.94/1.29 | ((inverse @ sk_c6) = (sk_c12))
% 4.94/1.29 | ((inverse @ sk_c6) = (sk_c12)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl38])).
% 4.94/1.29 thf(zip_derived_cl2, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.94/1.29 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.94/1.29 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.94/1.29 inference('cnf', [status(esa)], [associativity])).
% 4.94/1.29 thf(zip_derived_cl0, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.94/1.29 inference('cnf', [status(esa)], [left_identity])).
% 4.94/1.29 thf(zip_derived_cl454, plain,
% 4.94/1.29 ((((multiply @ (inverse @ sk_c12) @ sk_c11) = (sk_c12))
% 4.94/1.29 | ((inverse @ sk_c6) = (sk_c12))
% 4.94/1.29 | ((inverse @ sk_c6) = (sk_c12)))),
% 4.94/1.29 inference('demod', [status(thm)],
% 4.94/1.29 [zip_derived_cl447, zip_derived_cl2, zip_derived_cl0])).
% 4.94/1.29 thf(zip_derived_cl455, plain,
% 4.94/1.29 ((((inverse @ sk_c6) = (sk_c12))
% 4.94/1.29 | ((multiply @ (inverse @ sk_c12) @ sk_c11) = (sk_c12)))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl454])).
% 4.94/1.29 thf(zip_derived_cl842, plain,
% 4.94/1.29 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl801, zip_derived_cl251])).
% 4.94/1.29 thf(zip_derived_cl2101, plain,
% 4.94/1.29 ((((sk_c6) = (inverse @ sk_c12))
% 4.94/1.29 | ((multiply @ (inverse @ sk_c12) @ sk_c11) = (sk_c12)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl455, zip_derived_cl842])).
% 4.94/1.29 thf(zip_derived_cl7951, plain, (((identity) = (sk_c11))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl7950])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl8124, plain,
% 4.94/1.29 ((((sk_c6) = (inverse @ sk_c12)) | ((inverse @ sk_c12) = (sk_c12)))),
% 4.94/1.29 inference('demod', [status(thm)],
% 4.94/1.29 [zip_derived_cl2101, zip_derived_cl7951, zip_derived_cl801])).
% 4.94/1.29 thf(zip_derived_cl8868, plain,
% 4.94/1.29 ((((sk_c12) = (inverse @ sk_c12))
% 4.94/1.29 | ((inverse @ sk_c12) = (sk_c12))
% 4.94/1.29 | ((inverse @ sk_c12) = (sk_c12)))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl8333, zip_derived_cl8124])).
% 4.94/1.29 thf(zip_derived_cl8869, plain, (((sk_c12) = (inverse @ sk_c12))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl8868])).
% 4.94/1.29 thf(zip_derived_cl8877, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.94/1.29 (((inverse @ X0) != (identity))
% 4.94/1.29 | ((X1) != (identity))
% 4.94/1.29 | ((inverse @ X1) != (identity))
% 4.94/1.29 | ((X2) != (sk_c12))
% 4.94/1.29 | ((inverse @ X2) != (sk_c12))
% 4.94/1.29 | ((X3) != (identity))
% 4.94/1.29 | ((inverse @ X4) != (X3))
% 4.94/1.29 | ((multiply @ X4 @ X3) != (identity))
% 4.94/1.29 | ((sk_c12) != (sk_c12)))),
% 4.94/1.29 inference('demod', [status(thm)],
% 4.94/1.29 [zip_derived_cl8400, zip_derived_cl8869])).
% 4.94/1.29 thf(zip_derived_cl8878, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.94/1.29 (((multiply @ X4 @ X3) != (identity))
% 4.94/1.29 | ((inverse @ X4) != (X3))
% 4.94/1.29 | ((X3) != (identity))
% 4.94/1.29 | ((inverse @ X2) != (sk_c12))
% 4.94/1.29 | ((X2) != (sk_c12))
% 4.94/1.29 | ((inverse @ X1) != (identity))
% 4.94/1.29 | ((X1) != (identity))
% 4.94/1.29 | ((inverse @ X0) != (identity)))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl8877])).
% 4.94/1.29 thf(zip_derived_cl8918, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.94/1.29 (((inverse @ X0) != (identity))
% 4.94/1.29 | ((X1) != (identity))
% 4.94/1.29 | ((inverse @ X1) != (identity))
% 4.94/1.29 | ((X2) != (sk_c12))
% 4.94/1.29 | ((inverse @ X2) != (sk_c12))
% 4.94/1.29 | ((inverse @ X3) != (identity))
% 4.94/1.29 | ((multiply @ X3 @ identity) != (identity)))),
% 4.94/1.29 inference('eq_res', [status(thm)], [zip_derived_cl8878])).
% 4.94/1.29 thf(zip_derived_cl801, plain,
% 4.94/1.29 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl248])).
% 4.94/1.29 thf(zip_derived_cl8919, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.94/1.29 (((inverse @ X0) != (identity))
% 4.94/1.29 | ((X1) != (identity))
% 4.94/1.29 | ((inverse @ X1) != (identity))
% 4.94/1.29 | ((X2) != (sk_c12))
% 4.94/1.29 | ((inverse @ X2) != (sk_c12))
% 4.94/1.29 | ((inverse @ X3) != (identity))
% 4.94/1.29 | ((X3) != (identity)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl8918, zip_derived_cl801])).
% 4.94/1.29 thf(zip_derived_cl8920, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.94/1.29 (((X0) != (identity))
% 4.94/1.29 | ((inverse @ X0) != (identity))
% 4.94/1.29 | ((inverse @ X1) != (sk_c12))
% 4.94/1.29 | ((X1) != (sk_c12))
% 4.94/1.29 | ((inverse @ identity) != (identity))
% 4.94/1.29 | ((inverse @ X2) != (identity)))),
% 4.94/1.29 inference('eq_res', [status(thm)], [zip_derived_cl8919])).
% 4.94/1.29 thf(zip_derived_cl786, plain, (((inverse @ identity) = (identity))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl303, zip_derived_cl1])).
% 4.94/1.29 thf(zip_derived_cl8921, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.94/1.29 (((X0) != (identity))
% 4.94/1.29 | ((inverse @ X0) != (identity))
% 4.94/1.29 | ((inverse @ X1) != (sk_c12))
% 4.94/1.29 | ((X1) != (sk_c12))
% 4.94/1.29 | ((identity) != (identity))
% 4.94/1.29 | ((inverse @ X2) != (identity)))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl8920, zip_derived_cl786])).
% 4.94/1.29 thf(zip_derived_cl8922, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.94/1.29 (((inverse @ X2) != (identity))
% 4.94/1.29 | ((X1) != (sk_c12))
% 4.94/1.29 | ((inverse @ X1) != (sk_c12))
% 4.94/1.29 | ((inverse @ X0) != (identity))
% 4.94/1.29 | ((X0) != (identity)))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl8921])).
% 4.94/1.29 thf(zip_derived_cl8923, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 (((X0) != (identity))
% 4.94/1.29 | ((inverse @ X0) != (identity))
% 4.94/1.29 | ((inverse @ sk_c12) != (sk_c12))
% 4.94/1.29 | ((inverse @ X1) != (identity)))),
% 4.94/1.29 inference('eq_res', [status(thm)], [zip_derived_cl8922])).
% 4.94/1.29 thf(zip_derived_cl8869, plain, (((sk_c12) = (inverse @ sk_c12))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl8868])).
% 4.94/1.29 thf(zip_derived_cl8924, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 (((X0) != (identity))
% 4.94/1.29 | ((inverse @ X0) != (identity))
% 4.94/1.29 | ((sk_c12) != (sk_c12))
% 4.94/1.29 | ((inverse @ X1) != (identity)))),
% 4.94/1.29 inference('demod', [status(thm)],
% 4.94/1.29 [zip_derived_cl8923, zip_derived_cl8869])).
% 4.94/1.29 thf(zip_derived_cl8925, plain,
% 4.94/1.29 (![X0 : $i, X1 : $i]:
% 4.94/1.29 (((inverse @ X1) != (identity))
% 4.94/1.29 | ((inverse @ X0) != (identity))
% 4.94/1.29 | ((X0) != (identity)))),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl8924])).
% 4.94/1.29 thf(zip_derived_cl8926, plain,
% 4.94/1.29 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 4.94/1.29 inference('condensation', [status(thm)], [zip_derived_cl8925])).
% 4.94/1.29 thf(zip_derived_cl8927, plain, (((inverse @ identity) != (identity))),
% 4.94/1.29 inference('eq_res', [status(thm)], [zip_derived_cl8926])).
% 4.94/1.29 thf(zip_derived_cl786, plain, (((inverse @ identity) = (identity))),
% 4.94/1.29 inference('sup+', [status(thm)], [zip_derived_cl303, zip_derived_cl1])).
% 4.94/1.29 thf(zip_derived_cl8928, plain, (((identity) != (identity))),
% 4.94/1.29 inference('demod', [status(thm)], [zip_derived_cl8927, zip_derived_cl786])).
% 4.94/1.29 thf(zip_derived_cl8929, plain, ($false),
% 4.94/1.29 inference('simplify', [status(thm)], [zip_derived_cl8928])).
% 4.94/1.29
% 4.94/1.29 % SZS output end Refutation
% 4.94/1.29
% 4.94/1.29
% 4.94/1.29 % Terminating...
% 4.94/1.36 % Runner terminated.
% 4.94/1.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------