TSTP Solution File: GRP296-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP296-1 : 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.AiNay71bzS true
% Computer : n023.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 01:51:05 EDT 2023
% Result : Unsatisfiable 0.54s 0.88s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP296-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AiNay71bzS true
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 01:22:56 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.48/0.60 % Total configuration time : 435
% 0.48/0.60 % Estimated wc time : 1092
% 0.48/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.88 % Solved by fo/fo7.sh.
% 0.54/0.88 % done 412 iterations in 0.132s
% 0.54/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.88 % SZS output start Refutation
% 0.54/0.88 thf(sk_c1_type, type, sk_c1: $i).
% 0.54/0.88 thf(sk_c6_type, type, sk_c6: $i).
% 0.54/0.88 thf(sk_c5_type, type, sk_c5: $i).
% 0.54/0.88 thf(sk_c3_type, type, sk_c3: $i).
% 0.54/0.88 thf(identity_type, type, identity: $i).
% 0.54/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.88 thf(sk_c7_type, type, sk_c7: $i).
% 0.54/0.88 thf(inverse_type, type, inverse: $i > $i).
% 0.54/0.88 thf(sk_c4_type, type, sk_c4: $i).
% 0.54/0.88 thf(sk_c2_type, type, sk_c2: $i).
% 0.54/0.88 thf(sk_c8_type, type, sk_c8: $i).
% 0.54/0.88 thf(prove_this_37, conjecture,
% 0.54/0.88 (~( ( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 0.54/0.88 ( ( multiply @ X5 @ sk_c6 ) != ( sk_c8 ) ) |
% 0.54/0.88 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 0.54/0.88 ( ( multiply @ X2 @ sk_c8 ) != ( X1 ) ) |
% 0.54/0.88 ( ( multiply @ sk_c8 @ X1 ) != ( sk_c7 ) ) |
% 0.54/0.88 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.54/0.88 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 0.54/0.88 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c6 ) ) |
% 0.54/0.88 ( ( multiply @ sk_c8 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.89 (( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ X5 @ sk_c6 ) != ( sk_c8 ) ) |
% 0.54/0.89 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ X2 @ sk_c8 ) != ( X1 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c8 @ X1 ) != ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c8 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c8 @ sk_c7 ) != ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 0.54/0.89 thf(zip_derived_cl39, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.89 (((inverse @ X0) != (sk_c6))
% 0.54/0.89 | ((multiply @ X0 @ sk_c6) != (sk_c8))
% 0.54/0.89 | ((inverse @ X1) != (sk_c8))
% 0.54/0.89 | ((multiply @ X1 @ sk_c8) != (X2))
% 0.54/0.89 | ((multiply @ sk_c8 @ X2) != (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c8) != (sk_c7))
% 0.54/0.89 | ((inverse @ X3) != (sk_c8))
% 0.54/0.89 | ((multiply @ X3 @ sk_c8) != (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c6) != (sk_c7))
% 0.54/0.89 | ((inverse @ X4) != (sk_c8))
% 0.54/0.89 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.89 thf(zip_derived_cl40, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.89 (((inverse @ X0) != (multiply @ sk_c8 @ sk_c7))
% 0.54/0.89 | ((multiply @ X0 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c8))
% 0.54/0.89 | ((inverse @ X1) != (sk_c8))
% 0.54/0.89 | ((multiply @ X1 @ sk_c8) != (X2))
% 0.54/0.89 | ((multiply @ sk_c8 @ X2) != (sk_c7))
% 0.54/0.89 | ((multiply @ (multiply @ sk_c8 @ sk_c7) @ sk_c8) != (sk_c7))
% 0.54/0.89 | ((inverse @ X3) != (sk_c8))
% 0.54/0.89 | ((multiply @ X3 @ sk_c8) != (multiply @ sk_c8 @ sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c7))
% 0.54/0.89 | ((inverse @ X4) != (sk_c8))
% 0.54/0.89 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 0.54/0.89 inference('local_rewriting', [status(thm)], [zip_derived_cl39])).
% 0.54/0.89 thf(associativity, axiom,
% 0.54/0.89 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.54/0.89 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl57, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.89 (((inverse @ X0) != (multiply @ sk_c8 @ sk_c7))
% 0.54/0.89 | ((multiply @ X0 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c8))
% 0.54/0.89 | ((inverse @ X1) != (sk_c8))
% 0.54/0.89 | ((multiply @ X1 @ sk_c8) != (X2))
% 0.54/0.89 | ((multiply @ sk_c8 @ X2) != (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7))
% 0.54/0.89 | ((inverse @ X3) != (sk_c8))
% 0.54/0.89 | ((multiply @ X3 @ sk_c8) != (multiply @ sk_c8 @ sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ (multiply @ sk_c8 @ sk_c7)) != (sk_c7))
% 0.54/0.89 | ((inverse @ X4) != (sk_c8))
% 0.54/0.89 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c7) != (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl2])).
% 0.54/0.89 thf(prove_this_16, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.54/0.89 thf(zf_stmt_1, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.54/0.89 thf(zip_derived_cl18, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.89 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl43, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl61, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((multiply @ identity @ X0)
% 0.54/0.89 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.54/0.89 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl77, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl93, plain,
% 0.54/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl77])).
% 0.54/0.89 thf(prove_this_10, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.54/0.89 thf(zf_stmt_2, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.54/0.89 thf(zip_derived_cl12, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.89 thf(zip_derived_cl198, plain,
% 0.54/0.89 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.54/0.89 = (sk_c7))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c8))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl12])).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl212, plain,
% 0.54/0.89 ((((identity) = (sk_c7))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c8))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl198, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.89 zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl213, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl212])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl218, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c3) = (identity)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl213, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl77, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl279, plain,
% 0.54/0.89 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.54/0.89 | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl77])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl77, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl89, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 0.54/0.89 thf(zip_derived_cl77, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl77, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl86, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl77])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl534, plain,
% 0.54/0.89 ((((sk_c3) = (inverse @ sk_c8)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl279, zip_derived_cl500])).
% 0.54/0.89 thf(prove_this_15, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.54/0.89 thf(zf_stmt_3, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.54/0.89 thf(zip_derived_cl17, plain,
% 0.54/0.89 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl89, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl77])).
% 0.54/0.89 thf(zip_derived_cl545, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl737, plain,
% 0.54/0.89 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl545])).
% 0.54/0.89 thf(prove_this_9, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.54/0.89 thf(zf_stmt_4, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.54/0.89 thf(zip_derived_cl11, plain,
% 0.54/0.89 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 0.54/0.89 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/0.89 thf(zip_derived_cl1010, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 0.54/0.89 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl737, zip_derived_cl11])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl1026, plain,
% 0.54/0.89 ((((identity) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 0.54/0.89 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl1010, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl1027, plain,
% 0.54/0.89 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1026])).
% 0.54/0.89 thf(zip_derived_cl1194, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c4))
% 0.54/0.89 | ((identity) = (sk_c7))
% 0.54/0.89 | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl534, zip_derived_cl1027])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl1198, plain,
% 0.54/0.89 ((((identity) = (sk_c4))
% 0.54/0.89 | ((identity) = (sk_c7))
% 0.54/0.89 | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl1194, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl1199, plain,
% 0.54/0.89 ((((identity) = (sk_c7)) | ((identity) = (sk_c4)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1198])).
% 0.54/0.89 thf(prove_this_14, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.54/0.89 thf(zf_stmt_5, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.54/0.89 thf(zip_derived_cl16, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/0.89 thf(zip_derived_cl545, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl736, plain,
% 0.54/0.89 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c8 @ sk_c4) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl545])).
% 0.54/0.89 thf(prove_this_8, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.54/0.89 thf(zf_stmt_6, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.54/0.89 thf(zip_derived_cl10, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/0.89 thf(zip_derived_cl975, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c4) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl736, zip_derived_cl10])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl991, plain,
% 0.54/0.89 ((((identity) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c4) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl975, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl992, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl991])).
% 0.54/0.89 thf(zip_derived_cl1208, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.54/0.89 | ((identity) = (sk_c7))
% 0.54/0.89 | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1199, zip_derived_cl992])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl1212, plain,
% 0.54/0.89 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl1208, zip_derived_cl500])).
% 0.54/0.89 thf(zip_derived_cl1213, plain,
% 0.54/0.89 ((((identity) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1212])).
% 0.54/0.89 thf(zip_derived_cl1268, plain,
% 0.54/0.89 ((((sk_c8) != (identity)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl1213])).
% 0.54/0.89 thf(prove_this_18, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.54/0.89 thf(zf_stmt_7, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.54/0.89 thf(zip_derived_cl20, plain,
% 0.54/0.89 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl44, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.54/0.89 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl77, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl94, plain,
% 0.54/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.54/0.89 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl77])).
% 0.54/0.89 thf(prove_this_12, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.54/0.89 thf(zf_stmt_8, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.54/0.89 thf(zip_derived_cl14, plain,
% 0.54/0.89 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.54/0.89 thf(zip_derived_cl152, plain,
% 0.54/0.89 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.54/0.89 = (sk_c7))
% 0.54/0.89 | ((inverse @ sk_c5) = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl14])).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl166, plain,
% 0.54/0.89 ((((identity) = (sk_c7))
% 0.54/0.89 | ((inverse @ sk_c5) = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl152, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.89 zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl167, plain,
% 0.54/0.89 ((((inverse @ sk_c5) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl166])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl170, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c5) = (identity)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl77, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl249, plain,
% 0.54/0.89 ((((sk_c5) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.54/0.89 | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl77])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl532, plain,
% 0.54/0.89 ((((sk_c5) = (inverse @ sk_c6)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl249, zip_derived_cl500])).
% 0.54/0.89 thf(prove_this_17, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.54/0.89 thf(zf_stmt_9, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.54/0.89 thf(zip_derived_cl19, plain,
% 0.54/0.89 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.54/0.89 thf(zip_derived_cl545, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl739, plain,
% 0.54/0.89 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl545])).
% 0.54/0.89 thf(prove_this_11, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.54/0.89 thf(zf_stmt_10, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.54/0.89 thf(zip_derived_cl13, plain,
% 0.54/0.89 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.54/0.89 thf(zip_derived_cl1046, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl739, zip_derived_cl13])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl1062, plain,
% 0.54/0.89 ((((identity) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl1046, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl1063, plain,
% 0.54/0.89 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1062])).
% 0.54/0.89 thf(zip_derived_cl1222, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c8))
% 0.54/0.89 | ((identity) = (sk_c7))
% 0.54/0.89 | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl532, zip_derived_cl1063])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl1227, plain,
% 0.54/0.89 ((((identity) = (sk_c8))
% 0.54/0.89 | ((identity) = (sk_c7))
% 0.54/0.89 | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl1222, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl1228, plain,
% 0.54/0.89 ((((identity) = (sk_c7)) | ((identity) = (sk_c8)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1227])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl1297, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.89 (((inverse @ X0) != (sk_c8))
% 0.54/0.89 | ((multiply @ X0 @ sk_c8) != (sk_c8))
% 0.54/0.89 | ((inverse @ X1) != (sk_c8))
% 0.54/0.89 | ((multiply @ X1 @ sk_c8) != (X2))
% 0.54/0.89 | ((multiply @ sk_c8 @ X2) != (identity))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (sk_c8))
% 0.54/0.89 | ((multiply @ X3 @ sk_c8) != (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 0.54/0.89 | ((inverse @ X4) != (sk_c8))
% 0.54/0.89 | ((multiply @ X4 @ sk_c8) != (identity))
% 0.54/0.89 | ((sk_c8) != (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl57, zip_derived_cl1273, zip_derived_cl500,
% 0.54/0.89 zip_derived_cl1273, zip_derived_cl500, zip_derived_cl1273,
% 0.54/0.89 zip_derived_cl1273, zip_derived_cl0, zip_derived_cl1273,
% 0.54/0.89 zip_derived_cl1273, zip_derived_cl500, zip_derived_cl1273,
% 0.54/0.89 zip_derived_cl500, zip_derived_cl1273, zip_derived_cl1273,
% 0.54/0.89 zip_derived_cl1273, zip_derived_cl500])).
% 0.54/0.89 thf(zip_derived_cl1298, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.89 (((sk_c8) != (sk_c6))
% 0.54/0.89 | ((multiply @ X4 @ sk_c8) != (identity))
% 0.54/0.89 | ((inverse @ X4) != (sk_c8))
% 0.54/0.89 | ((multiply @ X3 @ sk_c8) != (sk_c8))
% 0.54/0.89 | ((inverse @ X3) != (sk_c8))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 0.54/0.89 | ((multiply @ sk_c8 @ X2) != (identity))
% 0.54/0.89 | ((multiply @ X1 @ sk_c8) != (X2))
% 0.54/0.89 | ((inverse @ X1) != (sk_c8))
% 0.54/0.89 | ((multiply @ X0 @ sk_c8) != (sk_c8))
% 0.54/0.89 | ((inverse @ X0) != (sk_c8)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1297])).
% 0.54/0.89 thf(prove_this_34, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.54/0.89 thf(zf_stmt_11, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 0.54/0.89 thf(zip_derived_cl36, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c8)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl45, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl77, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl95, plain,
% 0.54/0.89 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl77])).
% 0.54/0.89 thf(prove_this_28, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_12, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 0.54/0.89 thf(zip_derived_cl30, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c8) = (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.54/0.89 thf(zip_derived_cl221, plain,
% 0.54/0.89 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.54/0.89 = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c8))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl30])).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl231, plain,
% 0.54/0.89 ((((identity) = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c8))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c8)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl221, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.89 zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl232, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c8)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl231])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl236, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c3) = (identity)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl77, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl294, plain,
% 0.54/0.89 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.54/0.89 | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl236, zip_derived_cl77])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl537, plain,
% 0.54/0.89 ((((sk_c3) = (inverse @ sk_c8)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl294, zip_derived_cl500])).
% 0.54/0.89 thf(prove_this_33, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.54/0.89 thf(zf_stmt_13, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 0.54/0.89 thf(zip_derived_cl35, plain,
% 0.54/0.89 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4)) | ((inverse @ sk_c2) = (sk_c8)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.54/0.89 thf(zip_derived_cl545, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl743, plain,
% 0.54/0.89 ((((sk_c2) = (inverse @ sk_c8)) | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl545])).
% 0.54/0.89 thf(prove_this_27, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_14, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 0.54/0.89 thf(zip_derived_cl29, plain,
% 0.54/0.89 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 0.54/0.89 | ((multiply @ sk_c2 @ sk_c8) = (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.54/0.89 thf(zip_derived_cl2142, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 0.54/0.89 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl743, zip_derived_cl29])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl2148, plain,
% 0.54/0.89 ((((identity) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 0.54/0.89 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2142, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2149, plain,
% 0.54/0.89 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2148])).
% 0.54/0.89 thf(zip_derived_cl2157, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c4))
% 0.54/0.89 | ((identity) = (sk_c6))
% 0.54/0.89 | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl537, zip_derived_cl2149])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl2160, plain,
% 0.54/0.89 ((((identity) = (sk_c4))
% 0.54/0.89 | ((identity) = (sk_c6))
% 0.54/0.89 | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2157, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2161, plain,
% 0.54/0.89 ((((identity) = (sk_c6)) | ((identity) = (sk_c4)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2160])).
% 0.54/0.89 thf(prove_this_32, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.54/0.89 thf(zf_stmt_15, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 0.54/0.89 thf(zip_derived_cl34, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c8)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.54/0.89 thf(zip_derived_cl545, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl742, plain,
% 0.54/0.89 ((((sk_c2) = (inverse @ sk_c8)) | ((multiply @ sk_c8 @ sk_c4) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl545])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl1317, plain,
% 0.54/0.89 ((((sk_c2) = (inverse @ sk_c8))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c4) = (identity)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl742, zip_derived_cl1273])).
% 0.54/0.89 thf(prove_this_26, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_16, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.54/0.89 thf(zip_derived_cl28, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c2 @ sk_c8) = (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl2014, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 0.54/0.89 | ((multiply @ sk_c2 @ sk_c8) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl1273])).
% 0.54/0.89 thf(zip_derived_cl2024, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c4) = (identity))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c4) = (identity)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1317, zip_derived_cl2014])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl2030, plain,
% 0.54/0.89 ((((identity) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c4) = (identity))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c4) = (identity)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2024, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2031, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2030])).
% 0.54/0.89 thf(zip_derived_cl2169, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ identity) = (identity))
% 0.54/0.89 | ((identity) = (sk_c6))
% 0.54/0.89 | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl2161, zip_derived_cl2031])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl2173, plain,
% 0.54/0.89 ((((sk_c8) = (identity))
% 0.54/0.89 | ((identity) = (sk_c6))
% 0.54/0.89 | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2169, zip_derived_cl500])).
% 0.54/0.89 thf(zip_derived_cl2174, plain,
% 0.54/0.89 ((((identity) = (sk_c6)) | ((sk_c8) = (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2173])).
% 0.54/0.89 thf(prove_this_4, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_17, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.54/0.89 thf(zip_derived_cl6, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.54/0.89 thf(prove_this_3, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_18, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.54/0.89 thf(zip_derived_cl5, plain,
% 0.54/0.89 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.54/0.89 thf(zip_derived_cl77, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl99, plain,
% 0.54/0.89 ((((sk_c8) = (multiply @ (inverse @ sk_c3) @ sk_c4))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl77])).
% 0.54/0.89 thf(zip_derived_cl319, plain,
% 0.54/0.89 ((((sk_c8) = (multiply @ sk_c8 @ sk_c4))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl99])).
% 0.54/0.89 thf(zip_derived_cl328, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.54/0.89 | ((sk_c8) = (multiply @ sk_c8 @ sk_c4)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl319])).
% 0.54/0.89 thf(prove_this_2, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_19, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.54/0.89 thf(zip_derived_cl4, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.54/0.89 thf(zip_derived_cl463, plain,
% 0.54/0.89 ((((sk_c8) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl328, zip_derived_cl4])).
% 0.54/0.89 thf(zip_derived_cl472, plain,
% 0.54/0.89 ((((multiply @ sk_c8 @ sk_c7) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl463])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl1307, plain,
% 0.54/0.89 ((((sk_c8) = (sk_c6)) | ((sk_c8) = (identity)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl472, zip_derived_cl1273, zip_derived_cl500,
% 0.54/0.89 zip_derived_cl1273])).
% 0.54/0.89 thf(zip_derived_cl2183, plain,
% 0.54/0.89 ((((sk_c8) = (identity))
% 0.54/0.89 | ((sk_c8) = (identity))
% 0.54/0.89 | ((sk_c8) = (identity)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl2174, zip_derived_cl1307])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl2247, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.89 (((identity) != (sk_c6))
% 0.54/0.89 | ((X4) != (identity))
% 0.54/0.89 | ((inverse @ X4) != (identity))
% 0.54/0.89 | ((X3) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (identity))
% 0.54/0.89 | ((identity) != (identity))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((X1) != (X2))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl1298, zip_derived_cl2193, zip_derived_cl2193,
% 0.54/0.89 zip_derived_cl500, zip_derived_cl2193, zip_derived_cl2193,
% 0.54/0.89 zip_derived_cl500, zip_derived_cl2193, zip_derived_cl2193,
% 0.54/0.89 zip_derived_cl2193, zip_derived_cl2193, zip_derived_cl0,
% 0.54/0.89 zip_derived_cl2193, zip_derived_cl0, zip_derived_cl2193,
% 0.54/0.89 zip_derived_cl500, zip_derived_cl2193, zip_derived_cl2193,
% 0.54/0.89 zip_derived_cl500, zip_derived_cl2193, zip_derived_cl2193])).
% 0.54/0.89 thf(zip_derived_cl2248, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.89 (((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (X2))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (identity))
% 0.54/0.89 | ((X3) != (identity))
% 0.54/0.89 | ((inverse @ X4) != (identity))
% 0.54/0.89 | ((X4) != (identity))
% 0.54/0.89 | ((identity) != (sk_c6)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2247])).
% 0.54/0.89 thf(prove_this_1, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_20, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.54/0.89 thf(zip_derived_cl3, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c8 @ sk_c7) = (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl1273, plain, (((identity) = (sk_c7))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1228])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl1274, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c8) = (identity)) | ((sk_c8) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl3, zip_derived_cl1273, zip_derived_cl1273,
% 0.54/0.89 zip_derived_cl500])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl500, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 0.54/0.89 thf(zip_derived_cl2193, plain, (((sk_c8) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 0.54/0.89 thf(zip_derived_cl2232, plain,
% 0.54/0.89 ((((sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl1274, zip_derived_cl2193, zip_derived_cl500,
% 0.54/0.89 zip_derived_cl2193])).
% 0.54/0.89 thf(zip_derived_cl2233, plain, (((sk_c6) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2232])).
% 0.54/0.89 thf(zip_derived_cl2313, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.89 (((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (X2))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (identity))
% 0.54/0.89 | ((X3) != (identity))
% 0.54/0.89 | ((inverse @ X4) != (identity))
% 0.54/0.89 | ((X4) != (identity))
% 0.54/0.89 | ((identity) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl2248, zip_derived_cl2233])).
% 0.54/0.89 thf(zip_derived_cl2314, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/0.89 (((X4) != (identity))
% 0.54/0.89 | ((inverse @ X4) != (identity))
% 0.54/0.89 | ((X3) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (identity))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((X1) != (X2))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2313])).
% 0.54/0.89 thf(zip_derived_cl2315, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.89 (((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (identity))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (identity))
% 0.54/0.89 | ((X3) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2314])).
% 0.54/0.89 thf(zip_derived_cl2316, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (identity))
% 0.54/0.89 | ((inverse @ identity) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2315])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl77, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl88, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl77])).
% 0.54/0.89 thf(zip_derived_cl77, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl123, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl77])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl487, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2317, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (identity))
% 0.54/0.89 | ((identity) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2316, zip_derived_cl487])).
% 0.54/0.89 thf(zip_derived_cl2318, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 (((inverse @ X2) != (identity))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2317])).
% 0.54/0.89 thf(zip_derived_cl2319, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((inverse @ identity) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2318])).
% 0.54/0.89 thf(zip_derived_cl487, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2320, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((identity) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2319, zip_derived_cl487])).
% 0.54/0.89 thf(zip_derived_cl2321, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 (((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2320])).
% 0.54/0.89 thf(zip_derived_cl2322, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((inverse @ identity) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2321])).
% 0.54/0.89 thf(zip_derived_cl487, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2323, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((identity) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2322, zip_derived_cl487])).
% 0.54/0.89 thf(zip_derived_cl2324, plain,
% 0.54/0.89 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2323])).
% 0.54/0.89 thf(zip_derived_cl2325, plain, (((inverse @ identity) != (identity))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2324])).
% 0.54/0.89 thf(zip_derived_cl487, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2326, plain, (((identity) != (identity))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2325, zip_derived_cl487])).
% 0.54/0.89 thf(zip_derived_cl2327, plain, ($false),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2326])).
% 0.54/0.89
% 0.54/0.89 % SZS output end Refutation
% 0.54/0.89
% 0.54/0.89
% 0.54/0.89 % Terminating...
% 0.54/0.92 % Runner terminated.
% 1.50/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------