TSTP Solution File: GRP338-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP338-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Tvg3Wv4s5D true
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:15 EDT 2023
% Result : Unsatisfiable 0.63s 1.13s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP338-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Tvg3Wv4s5D true
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 01:40:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.63/1.13 % Solved by fo/fo7.sh.
% 0.63/1.13 % done 840 iterations in 0.312s
% 0.63/1.13 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.63/1.13 % SZS output start Refutation
% 0.63/1.13 thf(sk_c8_type, type, sk_c8: $i).
% 0.63/1.13 thf(sk_c9_type, type, sk_c9: $i).
% 0.63/1.13 thf(sk_c5_type, type, sk_c5: $i).
% 0.63/1.13 thf(sk_c4_type, type, sk_c4: $i).
% 0.63/1.13 thf(identity_type, type, identity: $i).
% 0.63/1.13 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.63/1.13 thf(sk_c11_type, type, sk_c11: $i).
% 0.63/1.13 thf(sk_c2_type, type, sk_c2: $i).
% 0.63/1.13 thf(inverse_type, type, inverse: $i > $i).
% 0.63/1.13 thf(sk_c3_type, type, sk_c3: $i).
% 0.63/1.13 thf(sk_c1_type, type, sk_c1: $i).
% 0.63/1.13 thf(sk_c10_type, type, sk_c10: $i).
% 0.63/1.13 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.63/1.13 thf(zip_derived_cl0, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_identity])).
% 0.63/1.13 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.63/1.13 thf(zip_derived_cl1, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_inverse])).
% 0.63/1.13 thf(associativity, axiom,
% 0.63/1.13 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.63/1.13 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.63/1.13 thf(zip_derived_cl2, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.13 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.63/1.13 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.63/1.13 inference('cnf', [status(esa)], [associativity])).
% 0.63/1.13 thf(zip_derived_cl101, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i]:
% 0.63/1.13 ((multiply @ identity @ X0)
% 0.63/1.13 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.63/1.13 thf(zip_derived_cl0, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_identity])).
% 0.63/1.13 thf(zip_derived_cl134, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i]:
% 0.63/1.13 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.63/1.13 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 0.63/1.13 thf(zip_derived_cl181, plain,
% 0.63/1.13 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl134])).
% 0.63/1.13 thf(zip_derived_cl134, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i]:
% 0.63/1.13 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.63/1.13 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 0.63/1.13 thf(zip_derived_cl256, plain,
% 0.63/1.13 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl134])).
% 0.63/1.13 thf(zip_derived_cl1, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_inverse])).
% 0.63/1.13 thf(zip_derived_cl1289, plain, (((inverse @ identity) = (identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl1])).
% 0.63/1.13 thf(prove_this_51, conjecture,
% 0.63/1.13 (~( ( ( multiply @ X7 @ X6 ) != ( X8 ) ) |
% 0.63/1.13 ( ( inverse @ X8 ) != ( X6 ) ) | ( ( inverse @ X7 ) != ( X8 ) ) |
% 0.63/1.13 ( ( multiply @ X6 @ sk_c10 ) != ( sk_c11 ) ) |
% 0.63/1.13 ( ( inverse @ X5 ) != ( X6 ) ) |
% 0.63/1.13 ( ( multiply @ X5 @ X6 ) != ( sk_c11 ) ) |
% 0.63/1.13 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 0.63/1.13 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 0.63/1.13 ( ( inverse @ X1 ) != ( sk_c11 ) ) |
% 0.63/1.13 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c10 ) ) |
% 0.63/1.13 ( ( inverse @ X4 ) != ( sk_c10 ) ) |
% 0.63/1.13 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c11 ) ) |
% 0.63/1.13 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 0.63/1.13 ( ( inverse @ X3 ) != ( sk_c11 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c10 @ sk_c11 ) != ( sk_c9 ) ) ))).
% 0.63/1.13 thf(zf_stmt_0, negated_conjecture,
% 0.63/1.13 (( ( multiply @ X7 @ X6 ) != ( X8 ) ) | ( ( inverse @ X8 ) != ( X6 ) ) |
% 0.63/1.13 ( ( inverse @ X7 ) != ( X8 ) ) |
% 0.63/1.13 ( ( multiply @ X6 @ sk_c10 ) != ( sk_c11 ) ) |
% 0.63/1.13 ( ( inverse @ X5 ) != ( X6 ) ) |
% 0.63/1.13 ( ( multiply @ X5 @ X6 ) != ( sk_c11 ) ) |
% 0.63/1.13 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 0.63/1.13 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 0.63/1.13 ( ( inverse @ X1 ) != ( sk_c11 ) ) |
% 0.63/1.13 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c10 ) ) |
% 0.63/1.13 ( ( inverse @ X4 ) != ( sk_c10 ) ) |
% 0.63/1.13 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c11 ) ) |
% 0.63/1.13 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 0.63/1.13 ( ( inverse @ X3 ) != ( sk_c11 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c10 @ sk_c11 ) != ( sk_c9 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_51])).
% 0.63/1.13 thf(zip_derived_cl53, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.63/1.13 (((multiply @ X1 @ X2) != (X0))
% 0.63/1.13 | ((inverse @ X0) != (X2))
% 0.63/1.13 | ((inverse @ X1) != (X0))
% 0.63/1.13 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 0.63/1.13 | ((inverse @ X3) != (X2))
% 0.63/1.13 | ((multiply @ X3 @ X2) != (sk_c11))
% 0.63/1.13 | ((inverse @ X4) != (sk_c10))
% 0.63/1.13 | ((multiply @ X4 @ sk_c10) != (sk_c9))
% 0.63/1.13 | ((inverse @ X5) != (sk_c11))
% 0.63/1.13 | ((multiply @ X5 @ sk_c11) != (sk_c10))
% 0.63/1.13 | ((inverse @ X6) != (sk_c10))
% 0.63/1.13 | ((multiply @ X6 @ sk_c10) != (sk_c11))
% 0.63/1.13 | ((multiply @ X7 @ sk_c10) != (sk_c11))
% 0.63/1.13 | ((inverse @ X7) != (sk_c11))
% 0.63/1.13 | ((multiply @ sk_c10 @ sk_c11) != (sk_c9)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.63/1.13 thf(zip_derived_cl54, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.63/1.13 (((multiply @ X1 @ X2) != (X0))
% 0.63/1.13 | ((inverse @ X0) != (X2))
% 0.63/1.13 | ((inverse @ X1) != (X0))
% 0.63/1.13 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 0.63/1.13 | ((inverse @ X3) != (X2))
% 0.63/1.13 | ((multiply @ X3 @ X2) != (sk_c11))
% 0.63/1.13 | ((inverse @ X4) != (sk_c10))
% 0.63/1.13 | ((multiply @ X4 @ sk_c10) != (multiply @ sk_c10 @ sk_c11))
% 0.63/1.13 | ((inverse @ X5) != (sk_c11))
% 0.63/1.13 | ((multiply @ X5 @ sk_c11) != (sk_c10))
% 0.63/1.13 | ((inverse @ X6) != (sk_c10))
% 0.63/1.13 | ((multiply @ X6 @ sk_c10) != (sk_c11))
% 0.63/1.13 | ((multiply @ X7 @ sk_c10) != (sk_c11))
% 0.63/1.13 | ((inverse @ X7) != (sk_c11))
% 0.63/1.13 | ((multiply @ sk_c10 @ sk_c11) != (sk_c9)))),
% 0.63/1.13 inference('local_rewriting', [status(thm)], [zip_derived_cl53])).
% 0.63/1.13 thf(prove_this_46, conjecture,
% 0.63/1.13 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.63/1.13 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 0.63/1.13 thf(zf_stmt_1, negated_conjecture,
% 0.63/1.13 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_46])).
% 0.63/1.13 thf(zip_derived_cl48, plain,
% 0.63/1.13 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c10)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.63/1.13 thf(zip_derived_cl1, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_inverse])).
% 0.63/1.13 thf(zip_derived_cl57, plain,
% 0.63/1.13 ((((multiply @ sk_c10 @ sk_c2) = (identity))
% 0.63/1.13 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl134, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i]:
% 0.63/1.13 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.63/1.13 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 0.63/1.13 thf(zip_derived_cl186, plain,
% 0.63/1.13 ((((sk_c2) = (multiply @ (inverse @ sk_c10) @ identity))
% 0.63/1.13 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl134])).
% 0.63/1.13 thf(prove_this_36, conjecture,
% 0.63/1.13 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 0.63/1.13 thf(zf_stmt_2, negated_conjecture,
% 0.63/1.13 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c11 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 0.63/1.13 thf(zip_derived_cl38, plain,
% 0.63/1.13 ((((inverse @ sk_c5) = (sk_c8))
% 0.63/1.13 | ((multiply @ sk_c2 @ sk_c10) = (sk_c11)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.63/1.13 thf(zip_derived_cl263, plain,
% 0.63/1.13 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 0.63/1.13 = (sk_c11))
% 0.63/1.13 | ((inverse @ sk_c5) = (sk_c8))
% 0.63/1.13 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl38])).
% 0.63/1.13 thf(zip_derived_cl2, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.13 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.63/1.13 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.63/1.13 inference('cnf', [status(esa)], [associativity])).
% 0.63/1.13 thf(zip_derived_cl0, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_identity])).
% 0.63/1.13 thf(zip_derived_cl1, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_inverse])).
% 0.63/1.13 thf(zip_derived_cl289, plain,
% 0.63/1.13 ((((identity) = (sk_c11))
% 0.63/1.13 | ((inverse @ sk_c5) = (sk_c8))
% 0.63/1.13 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl263, zip_derived_cl2, zip_derived_cl0,
% 0.63/1.13 zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl290, plain,
% 0.63/1.13 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c11)))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl289])).
% 0.63/1.13 thf(prove_this_45, conjecture,
% 0.63/1.13 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 0.63/1.13 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 0.63/1.13 thf(zf_stmt_3, negated_conjecture,
% 0.63/1.13 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 0.63/1.13 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_45])).
% 0.63/1.13 thf(zip_derived_cl47, plain,
% 0.63/1.13 ((((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 0.63/1.13 | ((inverse @ sk_c2) = (sk_c10)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.63/1.13 thf(zip_derived_cl1, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_inverse])).
% 0.63/1.13 thf(zip_derived_cl134, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i]:
% 0.63/1.13 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.63/1.13 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 0.63/1.13 thf(zip_derived_cl182, plain,
% 0.63/1.13 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl134])).
% 0.63/1.13 thf(zip_derived_cl134, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i]:
% 0.63/1.13 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.63/1.13 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 0.63/1.13 thf(zip_derived_cl134, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i]:
% 0.63/1.13 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.63/1.13 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 0.63/1.13 thf(zip_derived_cl179, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i]:
% 0.63/1.13 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl134])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl182, plain,
% 0.63/1.13 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl134])).
% 0.63/1.13 thf(zip_derived_cl1376, plain,
% 0.63/1.13 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl182])).
% 0.63/1.13 thf(zip_derived_cl1739, plain,
% 0.63/1.13 ((((sk_c2) = (inverse @ sk_c10))
% 0.63/1.13 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl1376])).
% 0.63/1.13 thf(prove_this_35, conjecture,
% 0.63/1.13 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 0.63/1.13 thf(zf_stmt_4, negated_conjecture,
% 0.63/1.13 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c11 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c11 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_35])).
% 0.63/1.13 thf(zip_derived_cl37, plain,
% 0.63/1.13 ((((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 0.63/1.13 | ((multiply @ sk_c2 @ sk_c10) = (sk_c11)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.63/1.13 thf(zip_derived_cl2547, plain,
% 0.63/1.13 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c11))
% 0.63/1.13 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 0.63/1.13 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl1739, zip_derived_cl37])).
% 0.63/1.13 thf(zip_derived_cl1, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_inverse])).
% 0.63/1.13 thf(zip_derived_cl2573, plain,
% 0.63/1.13 ((((identity) = (sk_c11))
% 0.63/1.13 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11))
% 0.63/1.13 | ((multiply @ sk_c5 @ sk_c8) = (sk_c11)))),
% 0.63/1.13 inference('demod', [status(thm)], [zip_derived_cl2547, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl2574, plain,
% 0.63/1.13 ((((multiply @ sk_c5 @ sk_c8) = (sk_c11)) | ((identity) = (sk_c11)))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2573])).
% 0.63/1.13 thf(zip_derived_cl2880, plain,
% 0.63/1.13 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c11))
% 0.63/1.13 | ((identity) = (sk_c11))
% 0.63/1.13 | ((identity) = (sk_c11)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl290, zip_derived_cl2574])).
% 0.63/1.13 thf(zip_derived_cl1376, plain,
% 0.63/1.13 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl182])).
% 0.63/1.13 thf(zip_derived_cl1, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_inverse])).
% 0.63/1.13 thf(zip_derived_cl1704, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl1376, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl2885, plain,
% 0.63/1.13 ((((identity) = (sk_c11))
% 0.63/1.13 | ((identity) = (sk_c11))
% 0.63/1.13 | ((identity) = (sk_c11)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl2880, zip_derived_cl1704])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl2935, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.63/1.13 (((multiply @ X1 @ X2) != (X0))
% 0.63/1.13 | ((inverse @ X0) != (X2))
% 0.63/1.13 | ((inverse @ X1) != (X0))
% 0.63/1.13 | ((multiply @ X2 @ sk_c10) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X2))
% 0.63/1.13 | ((multiply @ X3 @ X2) != (identity))
% 0.63/1.13 | ((inverse @ X4) != (sk_c10))
% 0.63/1.13 | ((multiply @ X4 @ sk_c10) != (sk_c10))
% 0.63/1.13 | ((inverse @ X5) != (identity))
% 0.63/1.13 | ((X5) != (sk_c10))
% 0.63/1.13 | ((inverse @ X6) != (sk_c10))
% 0.63/1.13 | ((multiply @ X6 @ sk_c10) != (identity))
% 0.63/1.13 | ((multiply @ X7 @ sk_c10) != (identity))
% 0.63/1.13 | ((inverse @ X7) != (identity))
% 0.63/1.13 | ((sk_c10) != (sk_c9)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl54, zip_derived_cl2886, zip_derived_cl2886,
% 0.63/1.13 zip_derived_cl2886, zip_derived_cl1302, zip_derived_cl2886,
% 0.63/1.13 zip_derived_cl2886, zip_derived_cl1302, zip_derived_cl2886,
% 0.63/1.13 zip_derived_cl2886, zip_derived_cl2886, zip_derived_cl2886,
% 0.63/1.13 zip_derived_cl1302])).
% 0.63/1.13 thf(prove_this_1, conjecture,
% 0.63/1.13 (~( ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c10 @ sk_c11 ) = ( sk_c9 ) ) ))).
% 0.63/1.13 thf(zf_stmt_5, negated_conjecture,
% 0.63/1.13 (( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c10 @ sk_c11 ) = ( sk_c9 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.63/1.13 thf(zip_derived_cl3, plain,
% 0.63/1.13 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 0.63/1.13 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl2891, plain,
% 0.63/1.13 ((((sk_c3) = (sk_c10)) | ((sk_c10) = (sk_c9)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl3, zip_derived_cl2886, zip_derived_cl1302,
% 0.63/1.13 zip_derived_cl2886, zip_derived_cl1302])).
% 0.63/1.13 thf(prove_this_2, conjecture,
% 0.63/1.13 (~( ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c10 @ sk_c11 ) = ( sk_c9 ) ) ))).
% 0.63/1.13 thf(zf_stmt_6, negated_conjecture,
% 0.63/1.13 (( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c10 @ sk_c11 ) = ( sk_c9 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.63/1.13 thf(zip_derived_cl4, plain,
% 0.63/1.13 ((((inverse @ sk_c3) = (sk_c11))
% 0.63/1.13 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl2892, plain,
% 0.63/1.13 ((((inverse @ sk_c3) = (identity)) | ((sk_c10) = (sk_c9)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl4, zip_derived_cl2886, zip_derived_cl2886,
% 0.63/1.13 zip_derived_cl1302])).
% 0.63/1.13 thf(zip_derived_cl1704, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl1376, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl2988, plain,
% 0.63/1.13 ((((multiply @ sk_c3 @ identity) = (identity)) | ((sk_c10) = (sk_c9)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl2892, zip_derived_cl1704])).
% 0.63/1.13 thf(zip_derived_cl2, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.13 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.63/1.13 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.63/1.13 inference('cnf', [status(esa)], [associativity])).
% 0.63/1.13 thf(zip_derived_cl3783, plain,
% 0.63/1.13 (![X0 : $i]:
% 0.63/1.13 (((multiply @ identity @ X0)
% 0.63/1.13 = (multiply @ sk_c3 @ (multiply @ identity @ X0)))
% 0.63/1.13 | ((sk_c10) = (sk_c9)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl2988, zip_derived_cl2])).
% 0.63/1.13 thf(zip_derived_cl0, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_identity])).
% 0.63/1.13 thf(zip_derived_cl0, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_identity])).
% 0.63/1.13 thf(zip_derived_cl3795, plain,
% 0.63/1.13 (![X0 : $i]: (((X0) = (multiply @ sk_c3 @ X0)) | ((sk_c10) = (sk_c9)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl3783, zip_derived_cl0, zip_derived_cl0])).
% 0.63/1.13 thf(zip_derived_cl3884, plain,
% 0.63/1.13 (![X0 : $i]:
% 0.63/1.13 (((X0) = (multiply @ sk_c10 @ X0))
% 0.63/1.13 | ((sk_c10) = (sk_c9))
% 0.63/1.13 | ((sk_c10) = (sk_c9)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl2891, zip_derived_cl3795])).
% 0.63/1.13 thf(zip_derived_cl3887, plain,
% 0.63/1.13 (![X0 : $i]: (((sk_c10) = (sk_c9)) | ((X0) = (multiply @ sk_c10 @ X0)))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl3884])).
% 0.63/1.13 thf(prove_this_4, conjecture,
% 0.63/1.13 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c10 @ sk_c11 ) = ( sk_c9 ) ) ))).
% 0.63/1.13 thf(zf_stmt_7, negated_conjecture,
% 0.63/1.13 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c10 @ sk_c11 ) = ( sk_c9 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.63/1.13 thf(zip_derived_cl6, plain,
% 0.63/1.13 ((((inverse @ sk_c4) = (sk_c10))
% 0.63/1.13 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.63/1.13 thf(zip_derived_cl1, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_inverse])).
% 0.63/1.13 thf(zip_derived_cl60, plain,
% 0.63/1.13 ((((multiply @ sk_c10 @ sk_c4) = (identity))
% 0.63/1.13 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl2939, plain,
% 0.63/1.13 ((((multiply @ sk_c10 @ sk_c4) = (identity)) | ((sk_c10) = (sk_c9)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl60, zip_derived_cl2886, zip_derived_cl1302])).
% 0.63/1.13 thf(zip_derived_cl4664, plain,
% 0.63/1.13 ((((sk_c4) = (identity)) | ((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl3887, zip_derived_cl2939])).
% 0.63/1.13 thf(zip_derived_cl4672, plain,
% 0.63/1.13 ((((sk_c10) = (sk_c9)) | ((sk_c4) = (identity)))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl4664])).
% 0.63/1.13 thf(prove_this_3, conjecture,
% 0.63/1.13 (~( ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c10 @ sk_c11 ) = ( sk_c9 ) ) ))).
% 0.63/1.13 thf(zf_stmt_8, negated_conjecture,
% 0.63/1.13 (( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c10 @ sk_c11 ) = ( sk_c9 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.63/1.13 thf(zip_derived_cl5, plain,
% 0.63/1.13 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 0.63/1.13 | ((multiply @ sk_c10 @ sk_c11) = (sk_c9)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl2893, plain,
% 0.63/1.13 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl5, zip_derived_cl2886, zip_derived_cl1302])).
% 0.63/1.13 thf(zip_derived_cl4673, plain,
% 0.63/1.13 ((((multiply @ identity @ sk_c10) = (sk_c9))
% 0.63/1.13 | ((sk_c10) = (sk_c9))
% 0.63/1.13 | ((sk_c10) = (sk_c9)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl4672, zip_derived_cl2893])).
% 0.63/1.13 thf(zip_derived_cl0, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_identity])).
% 0.63/1.13 thf(zip_derived_cl4678, plain,
% 0.63/1.13 ((((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 0.63/1.13 inference('demod', [status(thm)], [zip_derived_cl4673, zip_derived_cl0])).
% 0.63/1.13 thf(zip_derived_cl4679, plain, (((sk_c10) = (sk_c9))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl4678])).
% 0.63/1.13 thf(zip_derived_cl4690, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.63/1.13 (((multiply @ X1 @ X2) != (X0))
% 0.63/1.13 | ((inverse @ X0) != (X2))
% 0.63/1.13 | ((inverse @ X1) != (X0))
% 0.63/1.13 | ((multiply @ X2 @ sk_c10) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X2))
% 0.63/1.13 | ((multiply @ X3 @ X2) != (identity))
% 0.63/1.13 | ((inverse @ X4) != (sk_c10))
% 0.63/1.13 | ((multiply @ X4 @ sk_c10) != (sk_c10))
% 0.63/1.13 | ((inverse @ X5) != (identity))
% 0.63/1.13 | ((X5) != (sk_c10))
% 0.63/1.13 | ((inverse @ X6) != (sk_c10))
% 0.63/1.13 | ((multiply @ X6 @ sk_c10) != (identity))
% 0.63/1.13 | ((multiply @ X7 @ sk_c10) != (identity))
% 0.63/1.13 | ((inverse @ X7) != (identity))
% 0.63/1.13 | ((sk_c10) != (sk_c10)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl2935, zip_derived_cl4679])).
% 0.63/1.13 thf(zip_derived_cl4691, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.63/1.13 (((inverse @ X7) != (identity))
% 0.63/1.13 | ((multiply @ X7 @ sk_c10) != (identity))
% 0.63/1.13 | ((multiply @ X6 @ sk_c10) != (identity))
% 0.63/1.13 | ((inverse @ X6) != (sk_c10))
% 0.63/1.13 | ((X5) != (sk_c10))
% 0.63/1.13 | ((inverse @ X5) != (identity))
% 0.63/1.13 | ((multiply @ X4 @ sk_c10) != (sk_c10))
% 0.63/1.13 | ((inverse @ X4) != (sk_c10))
% 0.63/1.13 | ((multiply @ X3 @ X2) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X2))
% 0.63/1.13 | ((multiply @ X2 @ sk_c10) != (identity))
% 0.63/1.13 | ((inverse @ X1) != (X0))
% 0.63/1.13 | ((inverse @ X0) != (X2))
% 0.63/1.13 | ((multiply @ X1 @ X2) != (X0)))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl4690])).
% 0.63/1.13 thf(zip_derived_cl4788, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.63/1.13 (((multiply @ X1 @ X0) != (X2))
% 0.63/1.13 | ((inverse @ X2) != (X0))
% 0.63/1.13 | ((inverse @ X1) != (X2))
% 0.63/1.13 | ((multiply @ X0 @ sk_c10) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X0))
% 0.63/1.13 | ((multiply @ X3 @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X4) != (sk_c10))
% 0.63/1.13 | ((multiply @ X4 @ sk_c10) != (sk_c10))
% 0.63/1.13 | ((inverse @ sk_c10) != (identity))
% 0.63/1.13 | ((inverse @ X5) != (sk_c10))
% 0.63/1.13 | ((multiply @ X5 @ sk_c10) != (identity))
% 0.63/1.13 | ((multiply @ X6 @ sk_c10) != (identity))
% 0.63/1.13 | ((inverse @ X6) != (identity)))),
% 0.63/1.13 inference('eq_res', [status(thm)], [zip_derived_cl4691])).
% 0.63/1.13 thf(prove_this_12, conjecture,
% 0.63/1.13 (~( ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 0.63/1.13 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 0.63/1.13 thf(zf_stmt_9, negated_conjecture,
% 0.63/1.13 (( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 0.63/1.13 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.63/1.13 thf(zip_derived_cl14, plain,
% 0.63/1.13 ((((inverse @ sk_c3) = (sk_c11)) | ((inverse @ sk_c1) = (sk_c11)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.63/1.13 thf(zip_derived_cl1, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_inverse])).
% 0.63/1.13 thf(zip_derived_cl68, plain,
% 0.63/1.13 ((((multiply @ sk_c11 @ sk_c1) = (identity))
% 0.63/1.13 | ((inverse @ sk_c3) = (sk_c11)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl134, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i]:
% 0.63/1.13 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.63/1.13 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 0.63/1.13 thf(zip_derived_cl195, plain,
% 0.63/1.13 ((((sk_c1) = (multiply @ (inverse @ sk_c11) @ identity))
% 0.63/1.13 | ((inverse @ sk_c3) = (sk_c11)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl68, zip_derived_cl134])).
% 0.63/1.13 thf(prove_this_22, conjecture,
% 0.63/1.13 (~( ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 0.63/1.13 thf(zf_stmt_10, negated_conjecture,
% 0.63/1.13 (( ( inverse @ sk_c3 ) = ( sk_c11 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.63/1.13 thf(zip_derived_cl24, plain,
% 0.63/1.13 ((((inverse @ sk_c3) = (sk_c11))
% 0.63/1.13 | ((multiply @ sk_c1 @ sk_c10) = (sk_c11)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.63/1.13 thf(zip_derived_cl640, plain,
% 0.63/1.13 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c10)
% 0.63/1.13 = (sk_c11))
% 0.63/1.13 | ((inverse @ sk_c3) = (sk_c11))
% 0.63/1.13 | ((inverse @ sk_c3) = (sk_c11)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl24])).
% 0.63/1.13 thf(zip_derived_cl2, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.13 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.63/1.13 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.63/1.13 inference('cnf', [status(esa)], [associativity])).
% 0.63/1.13 thf(zip_derived_cl0, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_identity])).
% 0.63/1.13 thf(zip_derived_cl659, plain,
% 0.63/1.13 ((((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11))
% 0.63/1.13 | ((inverse @ sk_c3) = (sk_c11))
% 0.63/1.13 | ((inverse @ sk_c3) = (sk_c11)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl640, zip_derived_cl2, zip_derived_cl0])).
% 0.63/1.13 thf(zip_derived_cl660, plain,
% 0.63/1.13 ((((inverse @ sk_c3) = (sk_c11))
% 0.63/1.13 | ((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11)))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl1289, plain, (((inverse @ identity) = (identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl0, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_identity])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl5035, plain,
% 0.63/1.13 ((((inverse @ sk_c3) = (identity)) | ((sk_c10) = (identity)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl660, zip_derived_cl2886, zip_derived_cl2886,
% 0.63/1.13 zip_derived_cl1289, zip_derived_cl0, zip_derived_cl2886])).
% 0.63/1.13 thf(zip_derived_cl1376, plain,
% 0.63/1.13 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl1302, zip_derived_cl182])).
% 0.63/1.13 thf(zip_derived_cl5037, plain,
% 0.63/1.13 ((((sk_c3) = (inverse @ identity)) | ((sk_c10) = (identity)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl5035, zip_derived_cl1376])).
% 0.63/1.13 thf(zip_derived_cl1289, plain, (((inverse @ identity) = (identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl5043, plain,
% 0.63/1.13 ((((sk_c3) = (identity)) | ((sk_c10) = (identity)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl5037, zip_derived_cl1289])).
% 0.63/1.13 thf(prove_this_11, conjecture,
% 0.63/1.13 (~( ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 0.63/1.13 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 0.63/1.13 thf(zf_stmt_11, negated_conjecture,
% 0.63/1.13 (( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 0.63/1.13 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.63/1.13 thf(zip_derived_cl13, plain,
% 0.63/1.13 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 0.63/1.13 | ((inverse @ sk_c1) = (sk_c11)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.63/1.13 thf(zip_derived_cl1, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_inverse])).
% 0.63/1.13 thf(zip_derived_cl74, plain,
% 0.63/1.13 ((((multiply @ sk_c11 @ sk_c1) = (identity))
% 0.63/1.13 | ((multiply @ sk_c3 @ sk_c11) = (sk_c10)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl0, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_identity])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl2948, plain,
% 0.63/1.13 ((((sk_c1) = (identity)) | ((sk_c3) = (sk_c10)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl74, zip_derived_cl2886, zip_derived_cl0,
% 0.63/1.13 zip_derived_cl2886, zip_derived_cl1302])).
% 0.63/1.13 thf(prove_this_21, conjecture,
% 0.63/1.13 (~( ( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 0.63/1.13 thf(zf_stmt_12, negated_conjecture,
% 0.63/1.13 (( ( multiply @ sk_c3 @ sk_c11 ) = ( sk_c10 ) ) |
% 0.63/1.13 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) )),
% 0.63/1.13 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.63/1.13 thf(zip_derived_cl23, plain,
% 0.63/1.13 ((((multiply @ sk_c3 @ sk_c11) = (sk_c10))
% 0.63/1.13 | ((multiply @ sk_c1 @ sk_c10) = (sk_c11)))),
% 0.63/1.13 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl2886, plain, (((identity) = (sk_c11))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl2885])).
% 0.63/1.13 thf(zip_derived_cl2911, plain,
% 0.63/1.13 ((((sk_c3) = (sk_c10)) | ((multiply @ sk_c1 @ sk_c10) = (identity)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl23, zip_derived_cl2886, zip_derived_cl1302,
% 0.63/1.13 zip_derived_cl2886])).
% 0.63/1.13 thf(zip_derived_cl3493, plain,
% 0.63/1.13 ((((multiply @ identity @ sk_c10) = (identity))
% 0.63/1.13 | ((sk_c3) = (sk_c10))
% 0.63/1.13 | ((sk_c3) = (sk_c10)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl2948, zip_derived_cl2911])).
% 0.63/1.13 thf(zip_derived_cl0, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.63/1.13 inference('cnf', [status(esa)], [left_identity])).
% 0.63/1.13 thf(zip_derived_cl3503, plain,
% 0.63/1.13 ((((sk_c10) = (identity)) | ((sk_c3) = (sk_c10)) | ((sk_c3) = (sk_c10)))),
% 0.63/1.13 inference('demod', [status(thm)], [zip_derived_cl3493, zip_derived_cl0])).
% 0.63/1.13 thf(zip_derived_cl3504, plain,
% 0.63/1.13 ((((sk_c3) = (sk_c10)) | ((sk_c10) = (identity)))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl3503])).
% 0.63/1.13 thf(zip_derived_cl5045, plain,
% 0.63/1.13 ((((identity) = (sk_c10))
% 0.63/1.13 | ((sk_c10) = (identity))
% 0.63/1.13 | ((sk_c10) = (identity)))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl5043, zip_derived_cl3504])).
% 0.63/1.13 thf(zip_derived_cl5047, plain, (((identity) = (sk_c10))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5045])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl5047, plain, (((identity) = (sk_c10))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5045])).
% 0.63/1.13 thf(zip_derived_cl5047, plain, (((identity) = (sk_c10))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5045])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl5047, plain, (((identity) = (sk_c10))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5045])).
% 0.63/1.13 thf(zip_derived_cl5047, plain, (((identity) = (sk_c10))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5045])).
% 0.63/1.13 thf(zip_derived_cl1289, plain, (((inverse @ identity) = (identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl5047, plain, (((identity) = (sk_c10))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5045])).
% 0.63/1.13 thf(zip_derived_cl5047, plain, (((identity) = (sk_c10))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5045])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl5047, plain, (((identity) = (sk_c10))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5045])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl5101, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.63/1.13 (((multiply @ X1 @ X0) != (X2))
% 0.63/1.13 | ((inverse @ X2) != (X0))
% 0.63/1.13 | ((inverse @ X1) != (X2))
% 0.63/1.13 | ((X0) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X0))
% 0.63/1.13 | ((multiply @ X3 @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X4) != (identity))
% 0.63/1.13 | ((X4) != (identity))
% 0.63/1.13 | ((identity) != (identity))
% 0.63/1.13 | ((inverse @ X5) != (identity))
% 0.63/1.13 | ((X5) != (identity))
% 0.63/1.13 | ((X6) != (identity))
% 0.63/1.13 | ((inverse @ X6) != (identity)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl4788, zip_derived_cl5047, zip_derived_cl1302,
% 0.63/1.13 zip_derived_cl5047, zip_derived_cl5047, zip_derived_cl1302,
% 0.63/1.13 zip_derived_cl5047, zip_derived_cl5047, zip_derived_cl1289,
% 0.63/1.13 zip_derived_cl5047, zip_derived_cl5047, zip_derived_cl1302,
% 0.63/1.13 zip_derived_cl5047, zip_derived_cl1302])).
% 0.63/1.13 thf(zip_derived_cl5102, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.63/1.13 (((inverse @ X6) != (identity))
% 0.63/1.13 | ((X6) != (identity))
% 0.63/1.13 | ((X5) != (identity))
% 0.63/1.13 | ((inverse @ X5) != (identity))
% 0.63/1.13 | ((X4) != (identity))
% 0.63/1.13 | ((inverse @ X4) != (identity))
% 0.63/1.13 | ((multiply @ X3 @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X0))
% 0.63/1.13 | ((X0) != (identity))
% 0.63/1.13 | ((inverse @ X1) != (X2))
% 0.63/1.13 | ((inverse @ X2) != (X0))
% 0.63/1.13 | ((multiply @ X1 @ X0) != (X2)))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5101])).
% 0.63/1.13 thf(zip_derived_cl5105, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.63/1.13 (((multiply @ X1 @ X0) != (X2))
% 0.63/1.13 | ((inverse @ X2) != (X0))
% 0.63/1.13 | ((inverse @ X1) != (X2))
% 0.63/1.13 | ((X0) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X0))
% 0.63/1.13 | ((multiply @ X3 @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X4) != (identity))
% 0.63/1.13 | ((X4) != (identity))
% 0.63/1.13 | ((inverse @ X5) != (identity))
% 0.63/1.13 | ((X5) != (identity))
% 0.63/1.13 | ((inverse @ identity) != (identity)))),
% 0.63/1.13 inference('eq_res', [status(thm)], [zip_derived_cl5102])).
% 0.63/1.13 thf(zip_derived_cl1289, plain, (((inverse @ identity) = (identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl5106, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.63/1.13 (((multiply @ X1 @ X0) != (X2))
% 0.63/1.13 | ((inverse @ X2) != (X0))
% 0.63/1.13 | ((inverse @ X1) != (X2))
% 0.63/1.13 | ((X0) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X0))
% 0.63/1.13 | ((multiply @ X3 @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X4) != (identity))
% 0.63/1.13 | ((X4) != (identity))
% 0.63/1.13 | ((inverse @ X5) != (identity))
% 0.63/1.13 | ((X5) != (identity))
% 0.63/1.13 | ((identity) != (identity)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl5105, zip_derived_cl1289])).
% 0.63/1.13 thf(zip_derived_cl5107, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.63/1.13 (((X5) != (identity))
% 0.63/1.13 | ((inverse @ X5) != (identity))
% 0.63/1.13 | ((X4) != (identity))
% 0.63/1.13 | ((inverse @ X4) != (identity))
% 0.63/1.13 | ((multiply @ X3 @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X0))
% 0.63/1.13 | ((X0) != (identity))
% 0.63/1.13 | ((inverse @ X1) != (X2))
% 0.63/1.13 | ((inverse @ X2) != (X0))
% 0.63/1.13 | ((multiply @ X1 @ X0) != (X2)))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5106])).
% 0.63/1.13 thf(zip_derived_cl5200, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.63/1.13 (((multiply @ X1 @ X0) != (X2))
% 0.63/1.13 | ((inverse @ X2) != (X0))
% 0.63/1.13 | ((inverse @ X1) != (X2))
% 0.63/1.13 | ((X0) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X0))
% 0.63/1.13 | ((multiply @ X3 @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X4) != (identity))
% 0.63/1.13 | ((X4) != (identity))
% 0.63/1.13 | ((inverse @ identity) != (identity)))),
% 0.63/1.13 inference('eq_res', [status(thm)], [zip_derived_cl5107])).
% 0.63/1.13 thf(zip_derived_cl1289, plain, (((inverse @ identity) = (identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl5201, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.63/1.13 (((multiply @ X1 @ X0) != (X2))
% 0.63/1.13 | ((inverse @ X2) != (X0))
% 0.63/1.13 | ((inverse @ X1) != (X2))
% 0.63/1.13 | ((X0) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X0))
% 0.63/1.13 | ((multiply @ X3 @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X4) != (identity))
% 0.63/1.13 | ((X4) != (identity))
% 0.63/1.13 | ((identity) != (identity)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl5200, zip_derived_cl1289])).
% 0.63/1.13 thf(zip_derived_cl5202, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.63/1.13 (((X4) != (identity))
% 0.63/1.13 | ((inverse @ X4) != (identity))
% 0.63/1.13 | ((multiply @ X3 @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X0))
% 0.63/1.13 | ((X0) != (identity))
% 0.63/1.13 | ((inverse @ X1) != (X2))
% 0.63/1.13 | ((inverse @ X2) != (X0))
% 0.63/1.13 | ((multiply @ X1 @ X0) != (X2)))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5201])).
% 0.63/1.13 thf(zip_derived_cl5203, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.63/1.13 (((multiply @ X1 @ X0) != (X2))
% 0.63/1.13 | ((inverse @ X2) != (X0))
% 0.63/1.13 | ((inverse @ X1) != (X2))
% 0.63/1.13 | ((X0) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X0))
% 0.63/1.13 | ((multiply @ X3 @ X0) != (identity))
% 0.63/1.13 | ((inverse @ identity) != (identity)))),
% 0.63/1.13 inference('eq_res', [status(thm)], [zip_derived_cl5202])).
% 0.63/1.13 thf(zip_derived_cl1289, plain, (((inverse @ identity) = (identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl5204, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.63/1.13 (((multiply @ X1 @ X0) != (X2))
% 0.63/1.13 | ((inverse @ X2) != (X0))
% 0.63/1.13 | ((inverse @ X1) != (X2))
% 0.63/1.13 | ((X0) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X0))
% 0.63/1.13 | ((multiply @ X3 @ X0) != (identity))
% 0.63/1.13 | ((identity) != (identity)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl5203, zip_derived_cl1289])).
% 0.63/1.13 thf(zip_derived_cl5205, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.63/1.13 (((multiply @ X3 @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X3) != (X0))
% 0.63/1.13 | ((X0) != (identity))
% 0.63/1.13 | ((inverse @ X1) != (X2))
% 0.63/1.13 | ((inverse @ X2) != (X0))
% 0.63/1.13 | ((multiply @ X1 @ X0) != (X2)))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5204])).
% 0.63/1.13 thf(zip_derived_cl5206, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.13 (((multiply @ X0 @ identity) != (X1))
% 0.63/1.13 | ((inverse @ X1) != (identity))
% 0.63/1.13 | ((inverse @ X0) != (X1))
% 0.63/1.13 | ((inverse @ X2) != (identity))
% 0.63/1.13 | ((multiply @ X2 @ identity) != (identity)))),
% 0.63/1.13 inference('eq_res', [status(thm)], [zip_derived_cl5205])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl1302, plain,
% 0.63/1.13 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl179])).
% 0.63/1.13 thf(zip_derived_cl5207, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.63/1.13 (((X0) != (X1))
% 0.63/1.13 | ((inverse @ X1) != (identity))
% 0.63/1.13 | ((inverse @ X0) != (X1))
% 0.63/1.13 | ((inverse @ X2) != (identity))
% 0.63/1.13 | ((X2) != (identity)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl5206, zip_derived_cl1302, zip_derived_cl1302])).
% 0.63/1.13 thf(zip_derived_cl5208, plain,
% 0.63/1.13 (![X0 : $i, X1 : $i]:
% 0.63/1.13 (((X0) != (identity))
% 0.63/1.13 | ((inverse @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X1) != (X1))
% 0.63/1.13 | ((inverse @ X1) != (identity)))),
% 0.63/1.13 inference('eq_res', [status(thm)], [zip_derived_cl5207])).
% 0.63/1.13 thf(zip_derived_cl5209, plain,
% 0.63/1.13 (![X0 : $i]:
% 0.63/1.13 (((inverse @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X0) != (X0))
% 0.63/1.13 | ((inverse @ identity) != (identity)))),
% 0.63/1.13 inference('eq_res', [status(thm)], [zip_derived_cl5208])).
% 0.63/1.13 thf(zip_derived_cl1289, plain, (((inverse @ identity) = (identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl5210, plain,
% 0.63/1.13 (![X0 : $i]:
% 0.63/1.13 (((inverse @ X0) != (identity))
% 0.63/1.13 | ((inverse @ X0) != (X0))
% 0.63/1.13 | ((identity) != (identity)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl5209, zip_derived_cl1289])).
% 0.63/1.13 thf(zip_derived_cl5211, plain,
% 0.63/1.13 (![X0 : $i]: (((inverse @ X0) != (X0)) | ((inverse @ X0) != (identity)))),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5210])).
% 0.63/1.13 thf(zip_derived_cl5336, plain,
% 0.63/1.13 ((((identity) != (identity)) | ((inverse @ identity) != (identity)))),
% 0.63/1.13 inference('sup-', [status(thm)], [zip_derived_cl1289, zip_derived_cl5211])).
% 0.63/1.13 thf(zip_derived_cl1289, plain, (((inverse @ identity) = (identity))),
% 0.63/1.13 inference('sup+', [status(thm)], [zip_derived_cl256, zip_derived_cl1])).
% 0.63/1.13 thf(zip_derived_cl5350, plain,
% 0.63/1.13 ((((identity) != (identity)) | ((identity) != (identity)))),
% 0.63/1.13 inference('demod', [status(thm)],
% 0.63/1.13 [zip_derived_cl5336, zip_derived_cl1289])).
% 0.63/1.13 thf(zip_derived_cl5351, plain, ($false),
% 0.63/1.13 inference('simplify', [status(thm)], [zip_derived_cl5350])).
% 0.63/1.13
% 0.63/1.13 % SZS output end Refutation
% 0.63/1.13
% 0.63/1.13
% 0.63/1.14 % Terminating...
% 0.65/1.21 % Runner terminated.
% 1.94/1.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------