TSTP Solution File: GRP322-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP322-1 : 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.lZeHPOclsW true
% Computer : n029.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 01:51:11 EDT 2023
% Result : Unsatisfiable 4.60s 1.32s
% Output : Refutation 4.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP322-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lZeHPOclsW true
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 22:21:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.54/0.66 % Total configuration time : 435
% 0.54/0.66 % Estimated wc time : 1092
% 0.54/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.60/1.32 % Solved by fo/fo7.sh.
% 4.60/1.32 % done 1082 iterations in 0.521s
% 4.60/1.32 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.60/1.32 % SZS output start Refutation
% 4.60/1.32 thf(sk_c1_type, type, sk_c1: $i).
% 4.60/1.32 thf(sk_c7_type, type, sk_c7: $i).
% 4.60/1.32 thf(sk_c2_type, type, sk_c2: $i).
% 4.60/1.32 thf(sk_c5_type, type, sk_c5: $i).
% 4.60/1.32 thf(sk_c6_type, type, sk_c6: $i).
% 4.60/1.32 thf(identity_type, type, identity: $i).
% 4.60/1.32 thf(multiply_type, type, multiply: $i > $i > $i).
% 4.60/1.32 thf(sk_c9_type, type, sk_c9: $i).
% 4.60/1.32 thf(inverse_type, type, inverse: $i > $i).
% 4.60/1.32 thf(sk_c4_type, type, sk_c4: $i).
% 4.60/1.32 thf(sk_c3_type, type, sk_c3: $i).
% 4.60/1.32 thf(sk_c8_type, type, sk_c8: $i).
% 4.60/1.32 thf(prove_this_37, conjecture,
% 4.60/1.32 (~( ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ X3 @ sk_c9 ) != ( X2 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c9 @ X2 ) != ( sk_c8 ) ) |
% 4.60/1.32 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c7 ) ) |
% 4.60/1.32 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 4.60/1.32 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 4.60/1.32 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ) ) ))).
% 4.60/1.32 thf(zf_stmt_0, negated_conjecture,
% 4.60/1.32 (( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ X3 @ sk_c9 ) != ( X2 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c9 @ X2 ) != ( sk_c8 ) ) |
% 4.60/1.32 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c7 ) ) |
% 4.60/1.32 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 4.60/1.32 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 4.60/1.32 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 4.60/1.32 thf(zip_derived_cl39, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.60/1.32 (((inverse @ X0) != (sk_c9))
% 4.60/1.32 | ((multiply @ X0 @ sk_c9) != (X1))
% 4.60/1.32 | ((multiply @ sk_c9 @ X1) != (sk_c8))
% 4.60/1.32 | ((inverse @ X2) != (sk_c9))
% 4.60/1.32 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 4.60/1.32 | ((multiply @ sk_c9 @ sk_c8) != (sk_c7))
% 4.60/1.32 | ((inverse @ X3) != (sk_c9))
% 4.60/1.32 | ((multiply @ X3 @ sk_c9) != (X4))
% 4.60/1.32 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 4.60/1.32 | ((inverse @ X5) != (sk_c8))
% 4.60/1.32 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 4.60/1.32 | ((multiply @ sk_c8 @ sk_c9) != (sk_c7)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.60/1.32 thf(prove_this_16, conjecture,
% 4.60/1.32 (~( ( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 4.60/1.32 thf(zf_stmt_1, negated_conjecture,
% 4.60/1.32 (( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 4.60/1.32 thf(zip_derived_cl18, plain,
% 4.60/1.32 ((((multiply @ sk_c9 @ sk_c6) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.60/1.32 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl53, plain,
% 4.60/1.32 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 4.60/1.32 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(associativity, axiom,
% 4.60/1.32 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 4.60/1.32 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 4.60/1.32 thf(zip_derived_cl2, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.60/1.32 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.60/1.32 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.60/1.32 inference('cnf', [status(esa)], [associativity])).
% 4.60/1.32 thf(zip_derived_cl61, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((multiply @ identity @ X0)
% 4.60/1.32 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 4.60/1.32 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl122, plain,
% 4.60/1.32 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 4.60/1.32 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl97])).
% 4.60/1.32 thf(prove_this_10, conjecture,
% 4.60/1.32 (~( ( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 4.60/1.32 thf(zf_stmt_2, negated_conjecture,
% 4.60/1.32 (( ( multiply @ sk_c9 @ sk_c6 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 4.60/1.32 thf(zip_derived_cl12, plain,
% 4.60/1.32 ((((multiply @ sk_c9 @ sk_c6) = (sk_c8))
% 4.60/1.32 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.60/1.32 thf(zip_derived_cl604, plain,
% 4.60/1.32 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 4.60/1.32 = (sk_c9))
% 4.60/1.32 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8))
% 4.60/1.32 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl12])).
% 4.60/1.32 thf(zip_derived_cl2, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.60/1.32 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.60/1.32 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.60/1.32 inference('cnf', [status(esa)], [associativity])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl622, plain,
% 4.60/1.32 ((((identity) = (sk_c9))
% 4.60/1.32 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8))
% 4.60/1.32 | ((multiply @ sk_c9 @ sk_c6) = (sk_c8)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl604, zip_derived_cl2, zip_derived_cl0,
% 4.60/1.32 zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl623, plain,
% 4.60/1.32 ((((multiply @ sk_c9 @ sk_c6) = (sk_c8)) | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl622])).
% 4.60/1.32 thf(prove_this_18, conjecture,
% 4.60/1.32 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 4.60/1.32 thf(zf_stmt_3, negated_conjecture,
% 4.60/1.32 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 4.60/1.32 thf(zip_derived_cl20, plain,
% 4.60/1.32 ((((inverse @ sk_c5) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c8)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl48, plain,
% 4.60/1.32 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 4.60/1.32 | ((inverse @ sk_c5) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl120, plain,
% 4.60/1.32 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 4.60/1.32 | ((inverse @ sk_c5) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl97])).
% 4.60/1.32 thf(prove_this_12, conjecture,
% 4.60/1.32 (~( ( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 4.60/1.32 thf(zf_stmt_4, negated_conjecture,
% 4.60/1.32 (( ( inverse @ sk_c5 ) = ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 4.60/1.32 thf(zip_derived_cl14, plain,
% 4.60/1.32 ((((inverse @ sk_c5) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.60/1.32 thf(zip_derived_cl233, plain,
% 4.60/1.32 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 4.60/1.32 = (sk_c9))
% 4.60/1.32 | ((inverse @ sk_c5) = (sk_c9))
% 4.60/1.32 | ((inverse @ sk_c5) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl14])).
% 4.60/1.32 thf(zip_derived_cl2, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.60/1.32 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.60/1.32 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.60/1.32 inference('cnf', [status(esa)], [associativity])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl251, plain,
% 4.60/1.32 ((((identity) = (sk_c9))
% 4.60/1.32 | ((inverse @ sk_c5) = (sk_c9))
% 4.60/1.32 | ((inverse @ sk_c5) = (sk_c9)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl233, zip_derived_cl2, zip_derived_cl0,
% 4.60/1.32 zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl252, plain,
% 4.60/1.32 ((((inverse @ sk_c5) = (sk_c9)) | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl251])).
% 4.60/1.32 thf(prove_this_17, conjecture,
% 4.60/1.32 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 4.60/1.32 thf(zf_stmt_5, negated_conjecture,
% 4.60/1.32 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 4.60/1.32 thf(zip_derived_cl19, plain,
% 4.60/1.32 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl54, plain,
% 4.60/1.32 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 4.60/1.32 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl123, plain,
% 4.60/1.32 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 4.60/1.32 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl54, zip_derived_cl97])).
% 4.60/1.32 thf(prove_this_11, conjecture,
% 4.60/1.32 (~( ( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 4.60/1.32 thf(zf_stmt_6, negated_conjecture,
% 4.60/1.32 (( ( multiply @ sk_c5 @ sk_c9 ) = ( sk_c6 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 4.60/1.32 thf(zip_derived_cl13, plain,
% 4.60/1.32 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 4.60/1.32 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.60/1.32 thf(zip_derived_cl277, plain,
% 4.60/1.32 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 4.60/1.32 = (sk_c9))
% 4.60/1.32 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 4.60/1.32 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl13])).
% 4.60/1.32 thf(zip_derived_cl2, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.60/1.32 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.60/1.32 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.60/1.32 inference('cnf', [status(esa)], [associativity])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl295, plain,
% 4.60/1.32 ((((identity) = (sk_c9))
% 4.60/1.32 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6))
% 4.60/1.32 | ((multiply @ sk_c5 @ sk_c9) = (sk_c6)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl277, zip_derived_cl2, zip_derived_cl0,
% 4.60/1.32 zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl296, plain,
% 4.60/1.32 ((((multiply @ sk_c5 @ sk_c9) = (sk_c6)) | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl470, plain,
% 4.60/1.32 ((((sk_c9) = (multiply @ (inverse @ sk_c5) @ sk_c6))
% 4.60/1.32 | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl97])).
% 4.60/1.32 thf(zip_derived_cl534, plain,
% 4.60/1.32 ((((sk_c9) = (multiply @ sk_c9 @ sk_c6))
% 4.60/1.32 | ((identity) = (sk_c9))
% 4.60/1.32 | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl252, zip_derived_cl470])).
% 4.60/1.32 thf(zip_derived_cl539, plain,
% 4.60/1.32 ((((identity) = (sk_c9)) | ((sk_c9) = (multiply @ sk_c9 @ sk_c6)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl534])).
% 4.60/1.32 thf(zip_derived_cl630, plain,
% 4.60/1.32 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c9)) | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl623, zip_derived_cl539])).
% 4.60/1.32 thf(zip_derived_cl635, plain,
% 4.60/1.32 ((((identity) = (sk_c9)) | ((sk_c9) = (sk_c8)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl630])).
% 4.60/1.32 thf(prove_this_15, conjecture,
% 4.60/1.32 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 4.60/1.32 thf(zf_stmt_7, negated_conjecture,
% 4.60/1.32 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 4.60/1.32 thf(zip_derived_cl17, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c8)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl47, plain,
% 4.60/1.32 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl119, plain,
% 4.60/1.32 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl97])).
% 4.60/1.32 thf(prove_this_9, conjecture,
% 4.60/1.32 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 4.60/1.32 thf(zf_stmt_8, negated_conjecture,
% 4.60/1.32 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 4.60/1.32 thf(zip_derived_cl11, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.60/1.32 thf(zip_derived_cl201, plain,
% 4.60/1.32 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 4.60/1.32 = (sk_c9))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl11])).
% 4.60/1.32 thf(zip_derived_cl2, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.60/1.32 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.60/1.32 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.60/1.32 inference('cnf', [status(esa)], [associativity])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl219, plain,
% 4.60/1.32 ((((identity) = (sk_c9))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl201, zip_derived_cl2, zip_derived_cl0,
% 4.60/1.32 zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl220, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (sk_c9)) | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl219])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl226, plain,
% 4.60/1.32 ((((multiply @ sk_c9 @ sk_c4) = (identity)) | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl220, zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl659, plain,
% 4.60/1.32 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 4.60/1.32 | ((identity) = (sk_c9))
% 4.60/1.32 | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl635, zip_derived_cl226])).
% 4.60/1.32 thf(zip_derived_cl668, plain,
% 4.60/1.32 ((((identity) = (sk_c9)) | ((multiply @ sk_c8 @ sk_c4) = (identity)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl781, plain,
% 4.60/1.32 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 4.60/1.32 | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl668, zip_derived_cl97])).
% 4.60/1.32 thf(zip_derived_cl635, plain,
% 4.60/1.32 ((((identity) = (sk_c9)) | ((sk_c9) = (sk_c8)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl630])).
% 4.60/1.32 thf(prove_this_14, conjecture,
% 4.60/1.32 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 4.60/1.32 thf(zf_stmt_9, negated_conjecture,
% 4.60/1.32 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 4.60/1.32 thf(zip_derived_cl16, plain,
% 4.60/1.32 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_9])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl52, plain,
% 4.60/1.32 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 4.60/1.32 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl121, plain,
% 4.60/1.32 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 4.60/1.32 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl97])).
% 4.60/1.32 thf(prove_this_8, conjecture,
% 4.60/1.32 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 4.60/1.32 thf(zf_stmt_10, negated_conjecture,
% 4.60/1.32 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 4.60/1.32 thf(zip_derived_cl10, plain,
% 4.60/1.32 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 4.60/1.32 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_10])).
% 4.60/1.32 thf(zip_derived_cl563, plain,
% 4.60/1.32 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 4.60/1.32 = (sk_c9))
% 4.60/1.32 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 4.60/1.32 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl10])).
% 4.60/1.32 thf(zip_derived_cl2, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.60/1.32 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.60/1.32 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.60/1.32 inference('cnf', [status(esa)], [associativity])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl581, plain,
% 4.60/1.32 ((((identity) = (sk_c9))
% 4.60/1.32 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 4.60/1.32 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl563, zip_derived_cl2, zip_derived_cl0,
% 4.60/1.32 zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl582, plain,
% 4.60/1.32 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8)) | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl581])).
% 4.60/1.32 thf(zip_derived_cl664, plain,
% 4.60/1.32 ((((multiply @ sk_c4 @ sk_c8) = (sk_c8))
% 4.60/1.32 | ((identity) = (sk_c9))
% 4.60/1.32 | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl635, zip_derived_cl582])).
% 4.60/1.32 thf(zip_derived_cl673, plain,
% 4.60/1.32 ((((identity) = (sk_c9)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c8)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl664])).
% 4.60/1.32 thf(zip_derived_cl897, plain,
% 4.60/1.32 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 4.60/1.32 = (sk_c8))
% 4.60/1.32 | ((identity) = (sk_c9))
% 4.60/1.32 | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl781, zip_derived_cl673])).
% 4.60/1.32 thf(zip_derived_cl2, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.60/1.32 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.60/1.32 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.60/1.32 inference('cnf', [status(esa)], [associativity])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl900, plain,
% 4.60/1.32 ((((identity) = (sk_c8))
% 4.60/1.32 | ((identity) = (sk_c9))
% 4.60/1.32 | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl897, zip_derived_cl2, zip_derived_cl0,
% 4.60/1.32 zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl901, plain,
% 4.60/1.32 ((((identity) = (sk_c9)) | ((identity) = (sk_c8)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl900])).
% 4.60/1.32 thf(zip_derived_cl635, plain,
% 4.60/1.32 ((((identity) = (sk_c9)) | ((sk_c9) = (sk_c8)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl630])).
% 4.60/1.32 thf(zip_derived_cl666, plain,
% 4.60/1.32 ((((sk_c8) != (identity)) | ((identity) = (sk_c9)))),
% 4.60/1.32 inference('eq_fact', [status(thm)], [zip_derived_cl635])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl939, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.60/1.32 (((inverse @ X0) != (identity))
% 4.60/1.32 | ((multiply @ X0 @ identity) != (X1))
% 4.60/1.32 | ((X1) != (sk_c8))
% 4.60/1.32 | ((inverse @ X2) != (identity))
% 4.60/1.32 | ((multiply @ X2 @ identity) != (sk_c8))
% 4.60/1.32 | ((sk_c8) != (sk_c7))
% 4.60/1.32 | ((inverse @ X3) != (identity))
% 4.60/1.32 | ((multiply @ X3 @ identity) != (X4))
% 4.60/1.32 | ((X4) != (sk_c8))
% 4.60/1.32 | ((inverse @ X5) != (sk_c8))
% 4.60/1.32 | ((multiply @ X5 @ sk_c8) != (identity))
% 4.60/1.32 | ((multiply @ sk_c8 @ identity) != (sk_c7)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl39, zip_derived_cl902, zip_derived_cl902,
% 4.60/1.32 zip_derived_cl902, zip_derived_cl0, zip_derived_cl902,
% 4.60/1.32 zip_derived_cl902, zip_derived_cl902, zip_derived_cl0,
% 4.60/1.32 zip_derived_cl902, zip_derived_cl902, zip_derived_cl902,
% 4.60/1.32 zip_derived_cl0, zip_derived_cl902, zip_derived_cl902])).
% 4.60/1.32 thf(prove_this_13, conjecture,
% 4.60/1.32 (~( ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 4.60/1.32 thf(zf_stmt_11, negated_conjecture,
% 4.60/1.32 (( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 4.60/1.32 thf(zip_derived_cl15, plain,
% 4.60/1.32 ((((multiply @ sk_c9 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_11])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl915, plain,
% 4.60/1.32 ((((sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl15, zip_derived_cl902, zip_derived_cl0])).
% 4.60/1.32 thf(prove_this_7, conjecture,
% 4.60/1.32 (~( ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 4.60/1.32 thf(zf_stmt_12, negated_conjecture,
% 4.60/1.32 (( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 4.60/1.32 thf(zip_derived_cl9, plain,
% 4.60/1.32 ((((multiply @ sk_c9 @ sk_c8) = (sk_c7))
% 4.60/1.32 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_12])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl909, plain,
% 4.60/1.32 ((((sk_c8) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c8) = (identity)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl9, zip_derived_cl902, zip_derived_cl0,
% 4.60/1.32 zip_derived_cl902])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl1164, plain,
% 4.60/1.32 ((((sk_c8) = (multiply @ (inverse @ sk_c1) @ identity))
% 4.60/1.32 | ((sk_c8) = (sk_c7)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl909, zip_derived_cl97])).
% 4.60/1.32 thf(zip_derived_cl1586, plain,
% 4.60/1.32 ((((sk_c8) = (multiply @ sk_c8 @ identity))
% 4.60/1.32 | ((sk_c8) = (sk_c7))
% 4.60/1.32 | ((sk_c8) = (sk_c7)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl915, zip_derived_cl1164])).
% 4.60/1.32 thf(zip_derived_cl1596, plain,
% 4.60/1.32 ((((sk_c8) = (sk_c7)) | ((sk_c8) = (multiply @ sk_c8 @ identity)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl1586])).
% 4.60/1.32 thf(prove_this_1, conjecture,
% 4.60/1.32 (~( ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 4.60/1.32 thf(zf_stmt_13, negated_conjecture,
% 4.60/1.32 (( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 4.60/1.32 thf(zip_derived_cl3, plain,
% 4.60/1.32 ((((multiply @ sk_c9 @ sk_c8) = (sk_c7))
% 4.60/1.32 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_13])).
% 4.60/1.32 thf(zip_derived_cl41, plain,
% 4.60/1.32 ((((multiply @ sk_c9 @ sk_c8) != (multiply @ sk_c8 @ sk_c9))
% 4.60/1.32 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 4.60/1.32 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl940, plain,
% 4.60/1.32 ((((sk_c8) != (multiply @ sk_c8 @ identity))
% 4.60/1.32 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl41, zip_derived_cl902, zip_derived_cl0,
% 4.60/1.32 zip_derived_cl902, zip_derived_cl902])).
% 4.60/1.32 thf(zip_derived_cl941, plain,
% 4.60/1.32 ((((sk_c8) != (multiply @ sk_c8 @ identity)) | ((sk_c8) = (sk_c7)))),
% 4.60/1.32 inference('local_rewriting', [status(thm)], [zip_derived_cl940])).
% 4.60/1.32 thf(zip_derived_cl1614, plain, (((sk_c8) = (sk_c7))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl1596, zip_derived_cl941])).
% 4.60/1.32 thf(zip_derived_cl1614, plain, (((sk_c8) = (sk_c7))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl1596, zip_derived_cl941])).
% 4.60/1.32 thf(zip_derived_cl1618, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.60/1.32 (((inverse @ X0) != (identity))
% 4.60/1.32 | ((multiply @ X0 @ identity) != (X1))
% 4.60/1.32 | ((X1) != (sk_c8))
% 4.60/1.32 | ((inverse @ X2) != (identity))
% 4.60/1.32 | ((multiply @ X2 @ identity) != (sk_c8))
% 4.60/1.32 | ((sk_c8) != (sk_c8))
% 4.60/1.32 | ((inverse @ X3) != (identity))
% 4.60/1.32 | ((multiply @ X3 @ identity) != (X4))
% 4.60/1.32 | ((X4) != (sk_c8))
% 4.60/1.32 | ((inverse @ X5) != (sk_c8))
% 4.60/1.32 | ((multiply @ X5 @ sk_c8) != (identity))
% 4.60/1.32 | ((multiply @ sk_c8 @ identity) != (sk_c8)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl939, zip_derived_cl1614, zip_derived_cl1614])).
% 4.60/1.32 thf(zip_derived_cl1619, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.60/1.32 (((multiply @ sk_c8 @ identity) != (sk_c8))
% 4.60/1.32 | ((multiply @ X5 @ sk_c8) != (identity))
% 4.60/1.32 | ((inverse @ X5) != (sk_c8))
% 4.60/1.32 | ((X4) != (sk_c8))
% 4.60/1.32 | ((multiply @ X3 @ identity) != (X4))
% 4.60/1.32 | ((inverse @ X3) != (identity))
% 4.60/1.32 | ((multiply @ X2 @ identity) != (sk_c8))
% 4.60/1.32 | ((inverse @ X2) != (identity))
% 4.60/1.32 | ((X1) != (sk_c8))
% 4.60/1.32 | ((multiply @ X0 @ identity) != (X1))
% 4.60/1.32 | ((inverse @ X0) != (identity)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl1618])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl116, plain,
% 4.60/1.32 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl97])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl113, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl97])).
% 4.60/1.32 thf(zip_derived_cl2051, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 4.60/1.32 thf(zip_derived_cl2051, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 4.60/1.32 thf(zip_derived_cl2051, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 4.60/1.32 thf(zip_derived_cl2051, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 4.60/1.32 thf(zip_derived_cl2091, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.60/1.32 (((sk_c8) != (sk_c8))
% 4.60/1.32 | ((multiply @ X5 @ sk_c8) != (identity))
% 4.60/1.32 | ((inverse @ X5) != (sk_c8))
% 4.60/1.32 | ((X4) != (sk_c8))
% 4.60/1.32 | ((X3) != (X4))
% 4.60/1.32 | ((inverse @ X3) != (identity))
% 4.60/1.32 | ((X2) != (sk_c8))
% 4.60/1.32 | ((inverse @ X2) != (identity))
% 4.60/1.32 | ((X1) != (sk_c8))
% 4.60/1.32 | ((X0) != (X1))
% 4.60/1.32 | ((inverse @ X0) != (identity)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl1619, zip_derived_cl2051, zip_derived_cl2051,
% 4.60/1.32 zip_derived_cl2051, zip_derived_cl2051])).
% 4.60/1.32 thf(zip_derived_cl2092, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.60/1.32 (((inverse @ X0) != (identity))
% 4.60/1.32 | ((X0) != (X1))
% 4.60/1.32 | ((X1) != (sk_c8))
% 4.60/1.32 | ((inverse @ X2) != (identity))
% 4.60/1.32 | ((X2) != (sk_c8))
% 4.60/1.32 | ((inverse @ X3) != (identity))
% 4.60/1.32 | ((X3) != (X4))
% 4.60/1.32 | ((X4) != (sk_c8))
% 4.60/1.32 | ((inverse @ X5) != (sk_c8))
% 4.60/1.32 | ((multiply @ X5 @ sk_c8) != (identity)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl2091])).
% 4.60/1.32 thf(zip_derived_cl2248, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.60/1.32 (((multiply @ X0 @ sk_c8) != (identity))
% 4.60/1.32 | ((inverse @ X0) != (sk_c8))
% 4.60/1.32 | ((X1) != (sk_c8))
% 4.60/1.32 | ((X2) != (X1))
% 4.60/1.32 | ((inverse @ X2) != (identity))
% 4.60/1.32 | ((X3) != (sk_c8))
% 4.60/1.32 | ((inverse @ X3) != (identity))
% 4.60/1.32 | ((X4) != (sk_c8))
% 4.60/1.32 | ((inverse @ X4) != (identity)))),
% 4.60/1.32 inference('eq_res', [status(thm)], [zip_derived_cl2092])).
% 4.60/1.32 thf(zip_derived_cl2249, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.60/1.32 (((inverse @ X0) != (identity))
% 4.60/1.32 | ((X0) != (sk_c8))
% 4.60/1.32 | ((inverse @ X1) != (identity))
% 4.60/1.32 | ((X1) != (sk_c8))
% 4.60/1.32 | ((inverse @ X2) != (identity))
% 4.60/1.32 | ((X2) != (sk_c8))
% 4.60/1.32 | ((inverse @ X3) != (sk_c8))
% 4.60/1.32 | ((multiply @ X3 @ sk_c8) != (identity)))),
% 4.60/1.32 inference('eq_res', [status(thm)], [zip_derived_cl2248])).
% 4.60/1.32 thf(zip_derived_cl2250, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.60/1.32 (((multiply @ X0 @ sk_c8) != (identity))
% 4.60/1.32 | ((inverse @ X0) != (sk_c8))
% 4.60/1.32 | ((X1) != (sk_c8))
% 4.60/1.32 | ((inverse @ X1) != (identity))
% 4.60/1.32 | ((X2) != (sk_c8))
% 4.60/1.32 | ((inverse @ X2) != (identity))
% 4.60/1.32 | ((inverse @ sk_c8) != (identity)))),
% 4.60/1.32 inference('eq_res', [status(thm)], [zip_derived_cl2249])).
% 4.60/1.32 thf(prove_this_32, conjecture,
% 4.60/1.32 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 4.60/1.32 thf(zf_stmt_14, negated_conjecture,
% 4.60/1.32 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 4.60/1.32 thf(zip_derived_cl34, plain,
% 4.60/1.32 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c9)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_14])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl55, plain,
% 4.60/1.32 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 4.60/1.32 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl953, plain,
% 4.60/1.32 ((((sk_c2) = (identity)) | ((multiply @ sk_c4 @ identity) = (sk_c8)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl55, zip_derived_cl902, zip_derived_cl0,
% 4.60/1.32 zip_derived_cl902])).
% 4.60/1.32 thf(zip_derived_cl2051, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 4.60/1.32 thf(zip_derived_cl2084, plain,
% 4.60/1.32 ((((sk_c2) = (identity)) | ((sk_c4) = (sk_c8)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl953, zip_derived_cl2051])).
% 4.60/1.32 thf(prove_this_26, conjecture,
% 4.60/1.32 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 4.60/1.32 thf(zf_stmt_15, negated_conjecture,
% 4.60/1.32 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 4.60/1.32 thf(zip_derived_cl28, plain,
% 4.60/1.32 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 4.60/1.32 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_15])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl928, plain,
% 4.60/1.32 ((((multiply @ sk_c4 @ identity) = (sk_c8))
% 4.60/1.32 | ((multiply @ sk_c2 @ identity) = (sk_c3)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl28, zip_derived_cl902, zip_derived_cl902])).
% 4.60/1.32 thf(zip_derived_cl2051, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 4.60/1.32 thf(zip_derived_cl4138, plain,
% 4.60/1.32 ((((sk_c4) = (sk_c8)) | ((multiply @ sk_c2 @ identity) = (sk_c3)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl928, zip_derived_cl2051])).
% 4.60/1.32 thf(zip_derived_cl4151, plain,
% 4.60/1.32 ((((multiply @ identity @ identity) = (sk_c3))
% 4.60/1.32 | ((sk_c4) = (sk_c8))
% 4.60/1.32 | ((sk_c4) = (sk_c8)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl2084, zip_derived_cl4138])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl4160, plain,
% 4.60/1.32 ((((identity) = (sk_c3)) | ((sk_c4) = (sk_c8)) | ((sk_c4) = (sk_c8)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl4151, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl4161, plain,
% 4.60/1.32 ((((sk_c4) = (sk_c8)) | ((identity) = (sk_c3)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl4160])).
% 4.60/1.32 thf(prove_this_20, conjecture,
% 4.60/1.32 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 4.60/1.32 thf(zf_stmt_16, negated_conjecture,
% 4.60/1.32 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 4.60/1.32 thf(zip_derived_cl22, plain,
% 4.60/1.32 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 4.60/1.32 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_16])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl922, plain,
% 4.60/1.32 ((((multiply @ sk_c4 @ identity) = (sk_c8)) | ((sk_c3) = (sk_c8)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl22, zip_derived_cl902, zip_derived_cl902,
% 4.60/1.32 zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl2051, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 4.60/1.32 thf(zip_derived_cl2080, plain, ((((sk_c4) = (sk_c8)) | ((sk_c3) = (sk_c8)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl922, zip_derived_cl2051])).
% 4.60/1.32 thf(zip_derived_cl4222, plain,
% 4.60/1.32 ((((identity) = (sk_c8)) | ((sk_c4) = (sk_c8)) | ((sk_c4) = (sk_c8)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl4161, zip_derived_cl2080])).
% 4.60/1.32 thf(zip_derived_cl4241, plain,
% 4.60/1.32 ((((sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl4222])).
% 4.60/1.32 thf(prove_this_33, conjecture,
% 4.60/1.32 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 4.60/1.32 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 4.60/1.32 thf(zf_stmt_17, negated_conjecture,
% 4.60/1.32 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 4.60/1.32 thf(zip_derived_cl35, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_17])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl50, plain,
% 4.60/1.32 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl134, plain,
% 4.60/1.32 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl97])).
% 4.60/1.32 thf(prove_this_27, conjecture,
% 4.60/1.32 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 4.60/1.32 thf(zf_stmt_18, negated_conjecture,
% 4.60/1.32 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 4.60/1.32 thf(zip_derived_cl29, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (sk_c9)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_18])).
% 4.60/1.32 thf(zip_derived_cl396, plain,
% 4.60/1.32 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 4.60/1.32 = (sk_c3))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl29])).
% 4.60/1.32 thf(zip_derived_cl2, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.60/1.32 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 4.60/1.32 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 4.60/1.32 inference('cnf', [status(esa)], [associativity])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl1, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_inverse])).
% 4.60/1.32 thf(zip_derived_cl413, plain,
% 4.60/1.32 ((((identity) = (sk_c3))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl396, zip_derived_cl2, zip_derived_cl0,
% 4.60/1.32 zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl414, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (sk_c9)) | ((identity) = (sk_c3)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl413])).
% 4.60/1.32 thf(prove_this_21, conjecture,
% 4.60/1.32 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 4.60/1.32 thf(zf_stmt_19, negated_conjecture,
% 4.60/1.32 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 4.60/1.32 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 4.60/1.32 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 4.60/1.32 thf(zip_derived_cl23, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (sk_c9)) | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_19])).
% 4.60/1.32 thf(zip_derived_cl422, plain,
% 4.60/1.32 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl414, zip_derived_cl23])).
% 4.60/1.32 thf(zip_derived_cl429, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (sk_c9))
% 4.60/1.32 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl422])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl976, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (identity)) | ((identity) = (sk_c8)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl429, zip_derived_cl902, zip_derived_cl902,
% 4.60/1.32 zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl116, plain,
% 4.60/1.32 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl97])).
% 4.60/1.32 thf(zip_derived_cl1063, plain,
% 4.60/1.32 ((((sk_c4) = (multiply @ (inverse @ identity) @ identity))
% 4.60/1.32 | ((identity) = (sk_c8)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl976, zip_derived_cl116])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl97, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.60/1.32 thf(zip_derived_cl115, plain,
% 4.60/1.32 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl97])).
% 4.60/1.32 thf(zip_derived_cl1066, plain,
% 4.60/1.32 ((((sk_c4) = (identity)) | ((identity) = (sk_c8)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl1063, zip_derived_cl115])).
% 4.60/1.32 thf(zip_derived_cl4257, plain,
% 4.60/1.32 ((((sk_c8) = (identity))
% 4.60/1.32 | ((identity) = (sk_c8))
% 4.60/1.32 | ((identity) = (sk_c8)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl4241, zip_derived_cl1066])).
% 4.60/1.32 thf(zip_derived_cl4268, plain, (((sk_c8) = (identity))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl4257])).
% 4.60/1.32 thf(zip_derived_cl2051, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl113])).
% 4.60/1.32 thf(zip_derived_cl4268, plain, (((sk_c8) = (identity))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl4257])).
% 4.60/1.32 thf(zip_derived_cl4268, plain, (((sk_c8) = (identity))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl4257])).
% 4.60/1.32 thf(zip_derived_cl4268, plain, (((sk_c8) = (identity))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl4257])).
% 4.60/1.32 thf(zip_derived_cl4268, plain, (((sk_c8) = (identity))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl4257])).
% 4.60/1.32 thf(zip_derived_cl50, plain,
% 4.60/1.32 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 4.60/1.32 | ((inverse @ sk_c4) = (sk_c9)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl1])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl0, plain,
% 4.60/1.32 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 4.60/1.32 inference('cnf', [status(esa)], [left_identity])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl948, plain,
% 4.60/1.32 ((((sk_c2) = (identity)) | ((inverse @ sk_c4) = (identity)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl50, zip_derived_cl902, zip_derived_cl0,
% 4.60/1.32 zip_derived_cl902])).
% 4.60/1.32 thf(zip_derived_cl35, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 4.60/1.32 inference('cnf', [status(esa)], [zf_stmt_17])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl902, plain, (((identity) = (sk_c9))),
% 4.60/1.32 inference('clc', [status(thm)], [zip_derived_cl901, zip_derived_cl666])).
% 4.60/1.32 thf(zip_derived_cl935, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (identity)) | ((inverse @ sk_c2) = (identity)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl35, zip_derived_cl902, zip_derived_cl902])).
% 4.60/1.32 thf(zip_derived_cl1141, plain,
% 4.60/1.32 ((((inverse @ identity) = (identity))
% 4.60/1.32 | ((inverse @ sk_c4) = (identity))
% 4.60/1.32 | ((inverse @ sk_c4) = (identity)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl948, zip_derived_cl935])).
% 4.60/1.32 thf(zip_derived_cl1145, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (identity)) | ((inverse @ identity) = (identity)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl1141])).
% 4.60/1.32 thf(zip_derived_cl116, plain,
% 4.60/1.32 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl97])).
% 4.60/1.32 thf(zip_derived_cl1200, plain,
% 4.60/1.32 ((((sk_c4) = (multiply @ (inverse @ identity) @ identity))
% 4.60/1.32 | ((inverse @ identity) = (identity)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl1145, zip_derived_cl116])).
% 4.60/1.32 thf(zip_derived_cl115, plain,
% 4.60/1.32 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl97])).
% 4.60/1.32 thf(zip_derived_cl1206, plain,
% 4.60/1.32 ((((sk_c4) = (identity)) | ((inverse @ identity) = (identity)))),
% 4.60/1.32 inference('demod', [status(thm)], [zip_derived_cl1200, zip_derived_cl115])).
% 4.60/1.32 thf(zip_derived_cl1145, plain,
% 4.60/1.32 ((((inverse @ sk_c4) = (identity)) | ((inverse @ identity) = (identity)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl1141])).
% 4.60/1.32 thf(zip_derived_cl1209, plain,
% 4.60/1.32 ((((inverse @ identity) = (identity))
% 4.60/1.32 | ((inverse @ identity) = (identity))
% 4.60/1.32 | ((inverse @ identity) = (identity)))),
% 4.60/1.32 inference('sup+', [status(thm)], [zip_derived_cl1206, zip_derived_cl1145])).
% 4.60/1.32 thf(zip_derived_cl1212, plain, (((inverse @ identity) = (identity))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl1209])).
% 4.60/1.32 thf(zip_derived_cl4324, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.60/1.32 (((X0) != (identity))
% 4.60/1.32 | ((inverse @ X0) != (identity))
% 4.60/1.32 | ((X1) != (identity))
% 4.60/1.32 | ((inverse @ X1) != (identity))
% 4.60/1.32 | ((X2) != (identity))
% 4.60/1.32 | ((inverse @ X2) != (identity))
% 4.60/1.32 | ((identity) != (identity)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl2250, zip_derived_cl4268, zip_derived_cl2051,
% 4.60/1.32 zip_derived_cl4268, zip_derived_cl4268, zip_derived_cl4268,
% 4.60/1.32 zip_derived_cl4268, zip_derived_cl1212])).
% 4.60/1.32 thf(zip_derived_cl4325, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.60/1.32 (((inverse @ X2) != (identity))
% 4.60/1.32 | ((X2) != (identity))
% 4.60/1.32 | ((inverse @ X1) != (identity))
% 4.60/1.32 | ((X1) != (identity))
% 4.60/1.32 | ((inverse @ X0) != (identity))
% 4.60/1.32 | ((X0) != (identity)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl4324])).
% 4.60/1.32 thf(zip_derived_cl4476, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 (((X0) != (identity))
% 4.60/1.32 | ((inverse @ X0) != (identity))
% 4.60/1.32 | ((X1) != (identity))
% 4.60/1.32 | ((inverse @ X1) != (identity))
% 4.60/1.32 | ((inverse @ identity) != (identity)))),
% 4.60/1.32 inference('eq_res', [status(thm)], [zip_derived_cl4325])).
% 4.60/1.32 thf(zip_derived_cl1212, plain, (((inverse @ identity) = (identity))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl1209])).
% 4.60/1.32 thf(zip_derived_cl4477, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 (((X0) != (identity))
% 4.60/1.32 | ((inverse @ X0) != (identity))
% 4.60/1.32 | ((X1) != (identity))
% 4.60/1.32 | ((inverse @ X1) != (identity))
% 4.60/1.32 | ((identity) != (identity)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl4476, zip_derived_cl1212])).
% 4.60/1.32 thf(zip_derived_cl4478, plain,
% 4.60/1.32 (![X0 : $i, X1 : $i]:
% 4.60/1.32 (((inverse @ X1) != (identity))
% 4.60/1.32 | ((X1) != (identity))
% 4.60/1.32 | ((inverse @ X0) != (identity))
% 4.60/1.32 | ((X0) != (identity)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl4477])).
% 4.60/1.32 thf(zip_derived_cl4479, plain,
% 4.60/1.32 (![X0 : $i]:
% 4.60/1.32 (((X0) != (identity))
% 4.60/1.32 | ((inverse @ X0) != (identity))
% 4.60/1.32 | ((inverse @ identity) != (identity)))),
% 4.60/1.32 inference('eq_res', [status(thm)], [zip_derived_cl4478])).
% 4.60/1.32 thf(zip_derived_cl1212, plain, (((inverse @ identity) = (identity))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl1209])).
% 4.60/1.32 thf(zip_derived_cl4480, plain,
% 4.60/1.32 (![X0 : $i]:
% 4.60/1.32 (((X0) != (identity))
% 4.60/1.32 | ((inverse @ X0) != (identity))
% 4.60/1.32 | ((identity) != (identity)))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl4479, zip_derived_cl1212])).
% 4.60/1.32 thf(zip_derived_cl4481, plain,
% 4.60/1.32 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl4480])).
% 4.60/1.32 thf(zip_derived_cl4482, plain, (((inverse @ identity) != (identity))),
% 4.60/1.32 inference('eq_res', [status(thm)], [zip_derived_cl4481])).
% 4.60/1.32 thf(zip_derived_cl1212, plain, (((inverse @ identity) = (identity))),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl1209])).
% 4.60/1.32 thf(zip_derived_cl4483, plain, (((identity) != (identity))),
% 4.60/1.32 inference('demod', [status(thm)],
% 4.60/1.32 [zip_derived_cl4482, zip_derived_cl1212])).
% 4.60/1.32 thf(zip_derived_cl4484, plain, ($false),
% 4.60/1.32 inference('simplify', [status(thm)], [zip_derived_cl4483])).
% 4.60/1.32
% 4.60/1.32 % SZS output end Refutation
% 4.60/1.32
% 4.60/1.32
% 4.60/1.32 % Terminating...
% 4.92/1.41 % Runner terminated.
% 4.92/1.43 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------