TSTP Solution File: GRP316-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP316-1 : 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.MC4CSMsaxB true
% Computer : n009.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 01:51:10 EDT 2023
% Result : Unsatisfiable 3.58s 1.10s
% Output : Refutation 3.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP316-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MC4CSMsaxB true
% 0.12/0.34 % Computer : n009.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 01:13:20 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
% 0.12/0.35 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.58/1.09 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.58/1.10 % Solved by fo/fo7.sh.
% 3.58/1.10 % done 676 iterations in 0.291s
% 3.58/1.10 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.58/1.10 % SZS output start Refutation
% 3.58/1.10 thf(sk_c1_type, type, sk_c1: $i).
% 3.58/1.10 thf(sk_c6_type, type, sk_c6: $i).
% 3.58/1.10 thf(sk_c5_type, type, sk_c5: $i).
% 3.58/1.10 thf(sk_c3_type, type, sk_c3: $i).
% 3.58/1.10 thf(identity_type, type, identity: $i).
% 3.58/1.10 thf(multiply_type, type, multiply: $i > $i > $i).
% 3.58/1.10 thf(sk_c8_type, type, sk_c8: $i).
% 3.58/1.10 thf(inverse_type, type, inverse: $i > $i).
% 3.58/1.10 thf(sk_c4_type, type, sk_c4: $i).
% 3.58/1.10 thf(sk_c2_type, type, sk_c2: $i).
% 3.58/1.10 thf(sk_c7_type, type, sk_c7: $i).
% 3.58/1.10 thf(prove_this_31, conjecture,
% 3.58/1.10 (~( ( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 3.58/1.10 ( ( multiply @ X5 @ sk_c6 ) != ( sk_c8 ) ) |
% 3.58/1.10 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 3.58/1.10 ( ( multiply @ X2 @ sk_c8 ) != ( X1 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c8 @ X1 ) != ( sk_c7 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 3.58/1.10 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 3.58/1.10 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 3.58/1.10 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 3.58/1.10 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) ))).
% 3.58/1.10 thf(zf_stmt_0, negated_conjecture,
% 3.58/1.10 (( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 3.58/1.10 ( ( multiply @ X5 @ sk_c6 ) != ( sk_c8 ) ) |
% 3.58/1.10 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 3.58/1.10 ( ( multiply @ X2 @ sk_c8 ) != ( X1 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c8 @ X1 ) != ( sk_c7 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c6 @ sk_c8 ) != ( sk_c7 ) ) |
% 3.58/1.10 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 3.58/1.10 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 3.58/1.10 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 3.58/1.10 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 3.58/1.10 thf(zip_derived_cl33, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.58/1.10 (((inverse @ X0) != (sk_c6))
% 3.58/1.10 | ((multiply @ X0 @ sk_c6) != (sk_c8))
% 3.58/1.10 | ((inverse @ X1) != (sk_c8))
% 3.58/1.10 | ((multiply @ X1 @ sk_c8) != (X2))
% 3.58/1.10 | ((multiply @ sk_c8 @ X2) != (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c6 @ sk_c8) != (sk_c7))
% 3.58/1.10 | ((inverse @ X3) != (sk_c7))
% 3.58/1.10 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 3.58/1.10 | ((inverse @ X4) != (sk_c8))
% 3.58/1.10 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.58/1.10 thf(zip_derived_cl34, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.58/1.10 (((inverse @ X0) != (multiply @ sk_c7 @ sk_c8))
% 3.58/1.10 | ((multiply @ X0 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c8))
% 3.58/1.10 | ((inverse @ X1) != (sk_c8))
% 3.58/1.10 | ((multiply @ X1 @ sk_c8) != (X2))
% 3.58/1.10 | ((multiply @ sk_c8 @ X2) != (sk_c7))
% 3.58/1.10 | ((multiply @ (multiply @ sk_c7 @ sk_c8) @ sk_c8) != (sk_c7))
% 3.58/1.10 | ((inverse @ X3) != (sk_c7))
% 3.58/1.10 | ((multiply @ X3 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 3.58/1.10 | ((inverse @ X4) != (sk_c8))
% 3.58/1.10 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 3.58/1.10 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 3.58/1.10 thf(associativity, axiom,
% 3.58/1.10 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 3.58/1.10 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 3.58/1.10 thf(zip_derived_cl2, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.58/1.10 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.58/1.10 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.58/1.10 inference('cnf', [status(esa)], [associativity])).
% 3.58/1.10 thf(zip_derived_cl49, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.58/1.10 (((inverse @ X0) != (multiply @ sk_c7 @ sk_c8))
% 3.58/1.10 | ((multiply @ X0 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c8))
% 3.58/1.10 | ((inverse @ X1) != (sk_c8))
% 3.58/1.10 | ((multiply @ X1 @ sk_c8) != (X2))
% 3.58/1.10 | ((multiply @ sk_c8 @ X2) != (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c7 @ (multiply @ sk_c8 @ sk_c8)) != (sk_c7))
% 3.58/1.10 | ((inverse @ X3) != (sk_c7))
% 3.58/1.10 | ((multiply @ X3 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 3.58/1.10 | ((inverse @ X4) != (sk_c8))
% 3.58/1.10 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl2])).
% 3.58/1.10 thf(prove_this_18, conjecture,
% 3.58/1.10 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.58/1.10 thf(zf_stmt_1, negated_conjecture,
% 3.58/1.10 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 3.58/1.10 thf(zip_derived_cl20, plain,
% 3.58/1.10 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.58/1.10 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl38, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 3.58/1.10 | ((inverse @ sk_c5) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl2, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.58/1.10 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.58/1.10 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.58/1.10 inference('cnf', [status(esa)], [associativity])).
% 3.58/1.10 thf(zip_derived_cl53, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((multiply @ identity @ X0)
% 3.58/1.10 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 3.58/1.10 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl88, plain,
% 3.58/1.10 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.58/1.10 | ((inverse @ sk_c5) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl69])).
% 3.58/1.10 thf(prove_this_12, conjecture,
% 3.58/1.10 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.58/1.10 thf(zf_stmt_2, negated_conjecture,
% 3.58/1.10 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 3.58/1.10 thf(zip_derived_cl14, plain,
% 3.58/1.10 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.58/1.10 thf(zip_derived_cl166, plain,
% 3.58/1.10 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 3.58/1.10 = (sk_c7))
% 3.58/1.10 | ((inverse @ sk_c5) = (sk_c6))
% 3.58/1.10 | ((inverse @ sk_c5) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl14])).
% 3.58/1.10 thf(zip_derived_cl2, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.58/1.10 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.58/1.10 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.58/1.10 inference('cnf', [status(esa)], [associativity])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl176, plain,
% 3.58/1.10 ((((identity) = (sk_c7))
% 3.58/1.10 | ((inverse @ sk_c5) = (sk_c6))
% 3.58/1.10 | ((inverse @ sk_c5) = (sk_c6)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl166, zip_derived_cl2, zip_derived_cl0,
% 3.58/1.10 zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl177, plain,
% 3.58/1.10 ((((inverse @ sk_c5) = (sk_c6)) | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl176])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl180, plain,
% 3.58/1.10 ((((multiply @ sk_c6 @ sk_c5) = (identity)) | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl177, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl242, plain,
% 3.58/1.10 ((((sk_c5) = (multiply @ (inverse @ sk_c6) @ identity))
% 3.58/1.10 | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl69])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl81, plain,
% 3.58/1.10 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl69])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl78, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl69])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl371, plain,
% 3.58/1.10 ((((sk_c5) = (inverse @ sk_c6)) | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl338])).
% 3.58/1.10 thf(prove_this_17, conjecture,
% 3.58/1.10 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.58/1.10 thf(zf_stmt_3, negated_conjecture,
% 3.58/1.10 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 3.58/1.10 thf(zip_derived_cl19, plain,
% 3.58/1.10 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl81, plain,
% 3.58/1.10 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl69])).
% 3.58/1.10 thf(zip_derived_cl378, plain,
% 3.58/1.10 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl81])).
% 3.58/1.10 thf(zip_derived_cl398, plain,
% 3.58/1.10 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c8)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl378])).
% 3.58/1.10 thf(prove_this_11, conjecture,
% 3.58/1.10 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.58/1.10 thf(zf_stmt_4, negated_conjecture,
% 3.58/1.10 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 3.58/1.10 thf(zip_derived_cl13, plain,
% 3.58/1.10 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 3.58/1.10 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_4])).
% 3.58/1.10 thf(zip_derived_cl1473, plain,
% 3.58/1.10 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 3.58/1.10 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl398, zip_derived_cl13])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl1479, plain,
% 3.58/1.10 ((((identity) = (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 3.58/1.10 | ((multiply @ sk_c5 @ sk_c6) = (sk_c8)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl1473, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl1480, plain,
% 3.58/1.10 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8)) | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1479])).
% 3.58/1.10 thf(zip_derived_cl1495, plain,
% 3.58/1.10 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c8))
% 3.58/1.10 | ((identity) = (sk_c7))
% 3.58/1.10 | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl371, zip_derived_cl1480])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl1502, plain,
% 3.58/1.10 ((((identity) = (sk_c8))
% 3.58/1.10 | ((identity) = (sk_c7))
% 3.58/1.10 | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl1495, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl1503, plain,
% 3.58/1.10 ((((identity) = (sk_c7)) | ((identity) = (sk_c8)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1502])).
% 3.58/1.10 thf(prove_this_16, conjecture,
% 3.58/1.10 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.58/1.10 thf(zf_stmt_5, negated_conjecture,
% 3.58/1.10 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 3.58/1.10 thf(zip_derived_cl18, plain,
% 3.58/1.10 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_5])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl37, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 3.58/1.10 | ((inverse @ sk_c3) = (sk_c8)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl87, plain,
% 3.58/1.10 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.58/1.10 | ((inverse @ sk_c3) = (sk_c8)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl69])).
% 3.58/1.10 thf(prove_this_10, conjecture,
% 3.58/1.10 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.58/1.10 thf(zf_stmt_6, negated_conjecture,
% 3.58/1.10 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 3.58/1.10 thf(zip_derived_cl12, plain,
% 3.58/1.10 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_6])).
% 3.58/1.10 thf(zip_derived_cl206, plain,
% 3.58/1.10 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 3.58/1.10 = (sk_c7))
% 3.58/1.10 | ((inverse @ sk_c3) = (sk_c8))
% 3.58/1.10 | ((inverse @ sk_c3) = (sk_c8)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl12])).
% 3.58/1.10 thf(zip_derived_cl2, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.58/1.10 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.58/1.10 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.58/1.10 inference('cnf', [status(esa)], [associativity])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl216, plain,
% 3.58/1.10 ((((identity) = (sk_c7))
% 3.58/1.10 | ((inverse @ sk_c3) = (sk_c8))
% 3.58/1.10 | ((inverse @ sk_c3) = (sk_c8)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl206, zip_derived_cl2, zip_derived_cl0,
% 3.58/1.10 zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl217, plain,
% 3.58/1.10 ((((inverse @ sk_c3) = (sk_c8)) | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl216])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl221, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ sk_c3) = (identity)) | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl266, plain,
% 3.58/1.10 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.58/1.10 | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl221, zip_derived_cl69])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl372, plain,
% 3.58/1.10 ((((sk_c3) = (inverse @ sk_c8)) | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl266, zip_derived_cl338])).
% 3.58/1.10 thf(prove_this_15, conjecture,
% 3.58/1.10 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.58/1.10 thf(zf_stmt_7, negated_conjecture,
% 3.58/1.10 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 3.58/1.10 thf(zip_derived_cl17, plain,
% 3.58/1.10 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.58/1.10 thf(zip_derived_cl378, plain,
% 3.58/1.10 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl81])).
% 3.58/1.10 thf(zip_derived_cl396, plain,
% 3.58/1.10 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl378])).
% 3.58/1.10 thf(prove_this_9, conjecture,
% 3.58/1.10 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.58/1.10 thf(zf_stmt_8, negated_conjecture,
% 3.58/1.10 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 3.58/1.10 thf(zip_derived_cl11, plain,
% 3.58/1.10 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 3.58/1.10 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_8])).
% 3.58/1.10 thf(zip_derived_cl1096, plain,
% 3.58/1.10 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 3.58/1.10 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl396, zip_derived_cl11])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl1102, plain,
% 3.58/1.10 ((((identity) = (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 3.58/1.10 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl1096, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl1103, plain,
% 3.58/1.10 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4)) | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1102])).
% 3.58/1.10 thf(zip_derived_cl1112, plain,
% 3.58/1.10 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c4))
% 3.58/1.10 | ((identity) = (sk_c7))
% 3.58/1.10 | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl1103])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl1115, plain,
% 3.58/1.10 ((((identity) = (sk_c4))
% 3.58/1.10 | ((identity) = (sk_c7))
% 3.58/1.10 | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl1112, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl1116, plain,
% 3.58/1.10 ((((identity) = (sk_c7)) | ((identity) = (sk_c4)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1115])).
% 3.58/1.10 thf(prove_this_14, conjecture,
% 3.58/1.10 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.58/1.10 thf(zf_stmt_9, negated_conjecture,
% 3.58/1.10 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 3.58/1.10 thf(zip_derived_cl16, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_9])).
% 3.58/1.10 thf(zip_derived_cl378, plain,
% 3.58/1.10 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl81])).
% 3.58/1.10 thf(zip_derived_cl395, plain,
% 3.58/1.10 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c8 @ sk_c4) = (sk_c7)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl378])).
% 3.58/1.10 thf(prove_this_8, conjecture,
% 3.58/1.10 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.58/1.10 thf(zf_stmt_10, negated_conjecture,
% 3.58/1.10 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 3.58/1.10 thf(zip_derived_cl10, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.58/1.10 thf(zip_derived_cl1066, plain,
% 3.58/1.10 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c8 @ sk_c4) = (sk_c7)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl395, zip_derived_cl10])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl1072, plain,
% 3.58/1.10 ((((identity) = (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c8 @ sk_c4) = (sk_c7)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl1066, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl1073, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7)) | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1072])).
% 3.58/1.10 thf(zip_derived_cl1120, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 3.58/1.10 | ((identity) = (sk_c7))
% 3.58/1.10 | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl1116, zip_derived_cl1073])).
% 3.58/1.10 thf(zip_derived_cl1123, plain,
% 3.58/1.10 ((((identity) = (sk_c7)) | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1120])).
% 3.58/1.10 thf(zip_derived_cl1527, plain,
% 3.58/1.10 ((((multiply @ identity @ identity) = (sk_c7))
% 3.58/1.10 | ((identity) = (sk_c7))
% 3.58/1.10 | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl1503, zip_derived_cl1123])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl1535, plain,
% 3.58/1.10 ((((identity) = (sk_c7))
% 3.58/1.10 | ((identity) = (sk_c7))
% 3.58/1.10 | ((identity) = (sk_c7)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl1527, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl1565, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.58/1.10 (((inverse @ X0) != (sk_c8))
% 3.58/1.10 | ((multiply @ X0 @ sk_c8) != (sk_c8))
% 3.58/1.10 | ((inverse @ X1) != (sk_c8))
% 3.58/1.10 | ((multiply @ X1 @ sk_c8) != (X2))
% 3.58/1.10 | ((multiply @ sk_c8 @ X2) != (identity))
% 3.58/1.10 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 3.58/1.10 | ((inverse @ X3) != (identity))
% 3.58/1.10 | ((X3) != (sk_c8))
% 3.58/1.10 | ((inverse @ X4) != (sk_c8))
% 3.58/1.10 | ((multiply @ X4 @ sk_c8) != (identity))
% 3.58/1.10 | ((sk_c8) != (sk_c6)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl49, zip_derived_cl1536, zip_derived_cl0,
% 3.58/1.10 zip_derived_cl1536, zip_derived_cl0, zip_derived_cl1536,
% 3.58/1.10 zip_derived_cl1536, zip_derived_cl0, zip_derived_cl1536,
% 3.58/1.10 zip_derived_cl1536, zip_derived_cl1536, zip_derived_cl338,
% 3.58/1.10 zip_derived_cl1536, zip_derived_cl0, zip_derived_cl1536,
% 3.58/1.10 zip_derived_cl1536, zip_derived_cl0])).
% 3.58/1.10 thf(prove_this_28, conjecture,
% 3.58/1.10 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 3.58/1.10 thf(zf_stmt_11, negated_conjecture,
% 3.58/1.10 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 3.58/1.10 thf(zip_derived_cl30, plain,
% 3.58/1.10 ((((inverse @ sk_c3) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c7)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl39, plain,
% 3.58/1.10 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 3.58/1.10 | ((inverse @ sk_c3) = (sk_c8)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl83, plain,
% 3.58/1.10 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 3.58/1.10 | ((inverse @ sk_c3) = (sk_c8)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl69])).
% 3.58/1.10 thf(prove_this_22, conjecture,
% 3.58/1.10 (~( ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 3.58/1.10 thf(zf_stmt_12, negated_conjecture,
% 3.58/1.10 (( ( inverse @ sk_c3 ) = ( sk_c8 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 3.58/1.10 thf(zip_derived_cl24, plain,
% 3.58/1.10 ((((inverse @ sk_c3) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_12])).
% 3.58/1.10 thf(zip_derived_cl115, plain,
% 3.58/1.10 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 3.58/1.10 = (sk_c6))
% 3.58/1.10 | ((inverse @ sk_c3) = (sk_c8))
% 3.58/1.10 | ((inverse @ sk_c3) = (sk_c8)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl24])).
% 3.58/1.10 thf(zip_derived_cl2, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.58/1.10 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.58/1.10 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.58/1.10 inference('cnf', [status(esa)], [associativity])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl125, plain,
% 3.58/1.10 ((((identity) = (sk_c6))
% 3.58/1.10 | ((inverse @ sk_c3) = (sk_c8))
% 3.58/1.10 | ((inverse @ sk_c3) = (sk_c8)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl115, zip_derived_cl2, zip_derived_cl0,
% 3.58/1.10 zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl126, plain,
% 3.58/1.10 ((((inverse @ sk_c3) = (sk_c8)) | ((identity) = (sk_c6)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl125])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl130, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ sk_c3) = (identity)) | ((identity) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl150, plain,
% 3.58/1.10 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.58/1.10 | ((identity) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl69])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl366, plain,
% 3.58/1.10 ((((sk_c3) = (inverse @ sk_c8)) | ((identity) = (sk_c6)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl338])).
% 3.58/1.10 thf(prove_this_21, conjecture,
% 3.58/1.10 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 3.58/1.10 thf(zf_stmt_13, negated_conjecture,
% 3.58/1.10 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 3.58/1.10 thf(zip_derived_cl23, plain,
% 3.58/1.10 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 3.58/1.10 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_13])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl2347, plain,
% 3.58/1.10 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4)) | ((sk_c2) = (sk_c6)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl23, zip_derived_cl1536, zip_derived_cl338])).
% 3.58/1.10 thf(prove_this_27, conjecture,
% 3.58/1.10 (~( ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 3.58/1.10 thf(zf_stmt_14, negated_conjecture,
% 3.58/1.10 (( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c4 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 3.58/1.10 thf(zip_derived_cl29, plain,
% 3.58/1.10 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4)) | ((inverse @ sk_c2) = (sk_c7)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_14])).
% 3.58/1.10 thf(zip_derived_cl378, plain,
% 3.58/1.10 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl81])).
% 3.58/1.10 thf(zip_derived_cl402, plain,
% 3.58/1.10 ((((sk_c2) = (inverse @ sk_c7)) | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl378])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl80, plain,
% 3.58/1.10 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl69])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl113, plain,
% 3.58/1.10 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl69])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl325, plain, (((inverse @ identity) = (identity))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl1578, plain,
% 3.58/1.10 ((((sk_c2) = (identity)) | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl402, zip_derived_cl1536, zip_derived_cl325])).
% 3.58/1.10 thf(zip_derived_cl2358, plain,
% 3.58/1.10 ((((sk_c6) = (identity))
% 3.58/1.10 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4))
% 3.58/1.10 | ((multiply @ sk_c3 @ sk_c8) = (sk_c4)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl2347, zip_derived_cl1578])).
% 3.58/1.10 thf(zip_derived_cl2370, plain,
% 3.58/1.10 ((((multiply @ sk_c3 @ sk_c8) = (sk_c4)) | ((sk_c6) = (identity)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl2358])).
% 3.58/1.10 thf(zip_derived_cl2403, plain,
% 3.58/1.10 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c4))
% 3.58/1.10 | ((identity) = (sk_c6))
% 3.58/1.10 | ((sk_c6) = (identity)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl366, zip_derived_cl2370])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl2406, plain,
% 3.58/1.10 ((((identity) = (sk_c4))
% 3.58/1.10 | ((identity) = (sk_c6))
% 3.58/1.10 | ((sk_c6) = (identity)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl2403, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl2407, plain,
% 3.58/1.10 ((((identity) = (sk_c6)) | ((identity) = (sk_c4)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl2406])).
% 3.58/1.10 thf(prove_this_20, conjecture,
% 3.58/1.10 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 3.58/1.10 thf(zf_stmt_15, negated_conjecture,
% 3.58/1.10 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 3.58/1.10 thf(zip_derived_cl22, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_15])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl3161, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((sk_c2) = (sk_c6)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl22, zip_derived_cl1536, zip_derived_cl1536,
% 3.58/1.10 zip_derived_cl338])).
% 3.58/1.10 thf(prove_this_26, conjecture,
% 3.58/1.10 (~( ( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 3.58/1.10 thf(zf_stmt_16, negated_conjecture,
% 3.58/1.10 (( ( multiply @ sk_c8 @ sk_c4 ) = ( sk_c7 ) ) |
% 3.58/1.10 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 3.58/1.10 thf(zip_derived_cl28, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ sk_c4) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_16])).
% 3.58/1.10 thf(zip_derived_cl378, plain,
% 3.58/1.10 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl81])).
% 3.58/1.10 thf(zip_derived_cl401, plain,
% 3.58/1.10 ((((sk_c2) = (inverse @ sk_c7)) | ((multiply @ sk_c8 @ sk_c4) = (sk_c7)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl378])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl325, plain, (((inverse @ identity) = (identity))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl1577, plain,
% 3.58/1.10 ((((sk_c2) = (identity)) | ((multiply @ sk_c8 @ sk_c4) = (identity)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl401, zip_derived_cl1536, zip_derived_cl325,
% 3.58/1.10 zip_derived_cl1536])).
% 3.58/1.10 thf(zip_derived_cl3171, plain,
% 3.58/1.10 ((((sk_c6) = (identity))
% 3.58/1.10 | ((multiply @ sk_c8 @ sk_c4) = (identity))
% 3.58/1.10 | ((multiply @ sk_c8 @ sk_c4) = (identity)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl3161, zip_derived_cl1577])).
% 3.58/1.10 thf(zip_derived_cl3187, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((sk_c6) = (identity)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl3171])).
% 3.58/1.10 thf(zip_derived_cl3200, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ identity) = (identity))
% 3.58/1.10 | ((identity) = (sk_c6))
% 3.58/1.10 | ((sk_c6) = (identity)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl2407, zip_derived_cl3187])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl3204, plain,
% 3.58/1.10 ((((sk_c8) = (identity))
% 3.58/1.10 | ((identity) = (sk_c6))
% 3.58/1.10 | ((sk_c6) = (identity)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl3200, zip_derived_cl338])).
% 3.58/1.10 thf(zip_derived_cl3205, plain,
% 3.58/1.10 ((((identity) = (sk_c6)) | ((sk_c8) = (identity)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl3204])).
% 3.58/1.10 thf(prove_this_1, conjecture,
% 3.58/1.10 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 3.58/1.10 thf(zf_stmt_17, negated_conjecture,
% 3.58/1.10 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 3.58/1.10 thf(zip_derived_cl3, plain,
% 3.58/1.10 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 3.58/1.10 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_17])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl1539, plain,
% 3.58/1.10 ((((multiply @ sk_c6 @ sk_c8) = (identity)) | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl3, zip_derived_cl1536, zip_derived_cl1536,
% 3.58/1.10 zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl1824, plain,
% 3.58/1.10 ((((sk_c8) = (multiply @ (inverse @ sk_c6) @ identity))
% 3.58/1.10 | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl1539, zip_derived_cl69])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl2555, plain,
% 3.58/1.10 ((((sk_c8) = (inverse @ sk_c6)) | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl1824, zip_derived_cl338])).
% 3.58/1.10 thf(zip_derived_cl378, plain,
% 3.58/1.10 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl81])).
% 3.58/1.10 thf(zip_derived_cl2564, plain,
% 3.58/1.10 ((((sk_c6) = (inverse @ sk_c8)) | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl2555, zip_derived_cl378])).
% 3.58/1.10 thf(prove_this_6, conjecture,
% 3.58/1.10 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 3.58/1.10 thf(zf_stmt_18, negated_conjecture,
% 3.58/1.10 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 3.58/1.10 thf(zip_derived_cl8, plain,
% 3.58/1.10 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_18])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl36, plain,
% 3.58/1.10 ((((multiply @ sk_c6 @ sk_c5) = (identity))
% 3.58/1.10 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl1562, plain,
% 3.58/1.10 ((((multiply @ sk_c6 @ sk_c5) = (identity)) | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl36, zip_derived_cl1536, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl2577, plain,
% 3.58/1.10 ((((multiply @ (inverse @ sk_c8) @ sk_c5) = (identity))
% 3.58/1.10 | ((sk_c8) = (sk_c6))
% 3.58/1.10 | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl2564, zip_derived_cl1562])).
% 3.58/1.10 thf(zip_derived_cl2590, plain,
% 3.58/1.10 ((((sk_c8) = (sk_c6))
% 3.58/1.10 | ((multiply @ (inverse @ sk_c8) @ sk_c5) = (identity)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl2577])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl2597, plain,
% 3.58/1.10 ((((sk_c5) = (multiply @ (inverse @ (inverse @ sk_c8)) @ identity))
% 3.58/1.10 | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl2590, zip_derived_cl69])).
% 3.58/1.10 thf(zip_derived_cl378, plain,
% 3.58/1.10 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl81])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl2605, plain, ((((sk_c5) = (sk_c8)) | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl2597, zip_derived_cl378, zip_derived_cl338])).
% 3.58/1.10 thf(prove_this_5, conjecture,
% 3.58/1.10 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 3.58/1.10 thf(zf_stmt_19, negated_conjecture,
% 3.58/1.10 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c8 ) ) |
% 3.58/1.10 ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) )),
% 3.58/1.10 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 3.58/1.10 thf(zip_derived_cl7, plain,
% 3.58/1.10 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8))
% 3.58/1.10 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('cnf', [status(esa)], [zf_stmt_19])).
% 3.58/1.10 thf(zip_derived_cl1536, plain, (((identity) = (sk_c7))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl1535])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl1543, plain,
% 3.58/1.10 ((((multiply @ sk_c5 @ sk_c6) = (sk_c8)) | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl7, zip_derived_cl1536, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl2612, plain,
% 3.58/1.10 ((((multiply @ sk_c8 @ sk_c6) = (sk_c8))
% 3.58/1.10 | ((sk_c8) = (sk_c6))
% 3.58/1.10 | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl2605, zip_derived_cl1543])).
% 3.58/1.10 thf(zip_derived_cl2627, plain,
% 3.58/1.10 ((((sk_c8) = (sk_c6)) | ((multiply @ sk_c8 @ sk_c6) = (sk_c8)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl2612])).
% 3.58/1.10 thf(zip_derived_cl69, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl2653, plain,
% 3.58/1.10 ((((sk_c6) = (multiply @ (inverse @ sk_c8) @ sk_c8))
% 3.58/1.10 | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl2627, zip_derived_cl69])).
% 3.58/1.10 thf(zip_derived_cl1, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 3.58/1.10 thf(zip_derived_cl2660, plain,
% 3.58/1.10 ((((sk_c6) = (identity)) | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl2653, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl2676, plain,
% 3.58/1.10 ((((sk_c8) != (identity)) | ((sk_c6) = (identity)))),
% 3.58/1.10 inference('eq_fact', [status(thm)], [zip_derived_cl2660])).
% 3.58/1.10 thf(zip_derived_cl3209, plain, (((identity) = (sk_c6))),
% 3.58/1.10 inference('clc', [status(thm)], [zip_derived_cl3205, zip_derived_cl2676])).
% 3.58/1.10 thf(zip_derived_cl3233, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.58/1.10 (((inverse @ X0) != (sk_c8))
% 3.58/1.10 | ((multiply @ X0 @ sk_c8) != (sk_c8))
% 3.58/1.10 | ((inverse @ X1) != (sk_c8))
% 3.58/1.10 | ((multiply @ X1 @ sk_c8) != (X2))
% 3.58/1.10 | ((multiply @ sk_c8 @ X2) != (identity))
% 3.58/1.10 | ((multiply @ sk_c8 @ sk_c8) != (identity))
% 3.58/1.10 | ((inverse @ X3) != (identity))
% 3.58/1.10 | ((X3) != (sk_c8))
% 3.58/1.10 | ((inverse @ X4) != (sk_c8))
% 3.58/1.10 | ((multiply @ X4 @ sk_c8) != (identity))
% 3.58/1.10 | ((sk_c8) != (identity)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl1565, zip_derived_cl3209])).
% 3.58/1.10 thf(zip_derived_cl3234, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.58/1.10 (((inverse @ X0) != (identity))
% 3.58/1.10 | ((multiply @ X0 @ identity) != (identity))
% 3.58/1.10 | ((inverse @ X1) != (identity))
% 3.58/1.10 | ((multiply @ X1 @ identity) != (X2))
% 3.58/1.10 | ((multiply @ identity @ X2) != (identity))
% 3.58/1.10 | ((multiply @ identity @ identity) != (identity))
% 3.58/1.10 | ((inverse @ X3) != (identity))
% 3.58/1.10 | ((X3) != (identity))
% 3.58/1.10 | ((inverse @ X4) != (identity))
% 3.58/1.10 | ((multiply @ X4 @ identity) != (identity))
% 3.58/1.10 | ((sk_c8) != (identity)))),
% 3.58/1.10 inference('local_rewriting', [status(thm)], [zip_derived_cl3233])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl338, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 3.58/1.10 thf(zip_derived_cl3235, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.58/1.10 (((inverse @ X0) != (identity))
% 3.58/1.10 | ((X0) != (identity))
% 3.58/1.10 | ((inverse @ X1) != (identity))
% 3.58/1.10 | ((X1) != (X2))
% 3.58/1.10 | ((X2) != (identity))
% 3.58/1.10 | ((identity) != (identity))
% 3.58/1.10 | ((inverse @ X3) != (identity))
% 3.58/1.10 | ((X3) != (identity))
% 3.58/1.10 | ((inverse @ X4) != (identity))
% 3.58/1.10 | ((X4) != (identity))
% 3.58/1.10 | ((sk_c8) != (identity)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl3234, zip_derived_cl338, zip_derived_cl338,
% 3.58/1.10 zip_derived_cl0, zip_derived_cl0, zip_derived_cl338])).
% 3.58/1.10 thf(zip_derived_cl3236, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.58/1.10 (((sk_c8) != (identity))
% 3.58/1.10 | ((X4) != (identity))
% 3.58/1.10 | ((inverse @ X4) != (identity))
% 3.58/1.10 | ((X3) != (identity))
% 3.58/1.10 | ((inverse @ X3) != (identity))
% 3.58/1.10 | ((X2) != (identity))
% 3.58/1.10 | ((X1) != (X2))
% 3.58/1.10 | ((inverse @ X1) != (identity))
% 3.58/1.10 | ((X0) != (identity))
% 3.58/1.10 | ((inverse @ X0) != (identity)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl3235])).
% 3.58/1.10 thf(zip_derived_cl1539, plain,
% 3.58/1.10 ((((multiply @ sk_c6 @ sk_c8) = (identity)) | ((sk_c8) = (sk_c6)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl3, zip_derived_cl1536, zip_derived_cl1536,
% 3.58/1.10 zip_derived_cl0])).
% 3.58/1.10 thf(zip_derived_cl3209, plain, (((identity) = (sk_c6))),
% 3.58/1.10 inference('clc', [status(thm)], [zip_derived_cl3205, zip_derived_cl2676])).
% 3.58/1.10 thf(zip_derived_cl0, plain,
% 3.58/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.58/1.10 inference('cnf', [status(esa)], [left_identity])).
% 3.58/1.10 thf(zip_derived_cl3209, plain, (((identity) = (sk_c6))),
% 3.58/1.10 inference('clc', [status(thm)], [zip_derived_cl3205, zip_derived_cl2676])).
% 3.58/1.10 thf(zip_derived_cl3217, plain,
% 3.58/1.10 ((((sk_c8) = (identity)) | ((sk_c8) = (identity)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl1539, zip_derived_cl3209, zip_derived_cl0,
% 3.58/1.10 zip_derived_cl3209])).
% 3.58/1.10 thf(zip_derived_cl3218, plain, (((sk_c8) = (identity))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl3217])).
% 3.58/1.10 thf(zip_derived_cl3312, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.58/1.10 (((identity) != (identity))
% 3.58/1.10 | ((X4) != (identity))
% 3.58/1.10 | ((inverse @ X4) != (identity))
% 3.58/1.10 | ((X3) != (identity))
% 3.58/1.10 | ((inverse @ X3) != (identity))
% 3.58/1.10 | ((X2) != (identity))
% 3.58/1.10 | ((X1) != (X2))
% 3.58/1.10 | ((inverse @ X1) != (identity))
% 3.58/1.10 | ((X0) != (identity))
% 3.58/1.10 | ((inverse @ X0) != (identity)))),
% 3.58/1.10 inference('demod', [status(thm)],
% 3.58/1.10 [zip_derived_cl3236, zip_derived_cl3218])).
% 3.58/1.10 thf(zip_derived_cl3313, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.58/1.10 (((inverse @ X0) != (identity))
% 3.58/1.10 | ((X0) != (identity))
% 3.58/1.10 | ((inverse @ X1) != (identity))
% 3.58/1.10 | ((X1) != (X2))
% 3.58/1.10 | ((X2) != (identity))
% 3.58/1.10 | ((inverse @ X3) != (identity))
% 3.58/1.10 | ((X3) != (identity))
% 3.58/1.10 | ((inverse @ X4) != (identity))
% 3.58/1.10 | ((X4) != (identity)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl3312])).
% 3.58/1.10 thf(zip_derived_cl3314, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.58/1.10 (((X0) != (identity))
% 3.58/1.10 | ((inverse @ X0) != (identity))
% 3.58/1.10 | ((X1) != (identity))
% 3.58/1.10 | ((inverse @ X1) != (identity))
% 3.58/1.10 | ((X2) != (identity))
% 3.58/1.10 | ((inverse @ X2) != (identity))
% 3.58/1.10 | ((X3) != (identity))
% 3.58/1.10 | ((inverse @ X3) != (identity)))),
% 3.58/1.10 inference('eq_res', [status(thm)], [zip_derived_cl3313])).
% 3.58/1.10 thf(zip_derived_cl3315, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.58/1.10 (((inverse @ X0) != (identity))
% 3.58/1.10 | ((X0) != (identity))
% 3.58/1.10 | ((inverse @ X1) != (identity))
% 3.58/1.10 | ((X1) != (identity))
% 3.58/1.10 | ((inverse @ X2) != (identity))
% 3.58/1.10 | ((X2) != (identity))
% 3.58/1.10 | ((inverse @ identity) != (identity)))),
% 3.58/1.10 inference('eq_res', [status(thm)], [zip_derived_cl3314])).
% 3.58/1.10 thf(zip_derived_cl325, plain, (((inverse @ identity) = (identity))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl3316, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.58/1.10 (((inverse @ X0) != (identity))
% 3.58/1.10 | ((X0) != (identity))
% 3.58/1.10 | ((inverse @ X1) != (identity))
% 3.58/1.10 | ((X1) != (identity))
% 3.58/1.10 | ((inverse @ X2) != (identity))
% 3.58/1.10 | ((X2) != (identity))
% 3.58/1.10 | ((identity) != (identity)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl3315, zip_derived_cl325])).
% 3.58/1.10 thf(zip_derived_cl3317, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.58/1.10 (((X2) != (identity))
% 3.58/1.10 | ((inverse @ X2) != (identity))
% 3.58/1.10 | ((X1) != (identity))
% 3.58/1.10 | ((inverse @ X1) != (identity))
% 3.58/1.10 | ((X0) != (identity))
% 3.58/1.10 | ((inverse @ X0) != (identity)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl3316])).
% 3.58/1.10 thf(zip_derived_cl3318, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 (((inverse @ X0) != (identity))
% 3.58/1.10 | ((X0) != (identity))
% 3.58/1.10 | ((inverse @ X1) != (identity))
% 3.58/1.10 | ((X1) != (identity))
% 3.58/1.10 | ((inverse @ identity) != (identity)))),
% 3.58/1.10 inference('eq_res', [status(thm)], [zip_derived_cl3317])).
% 3.58/1.10 thf(zip_derived_cl325, plain, (((inverse @ identity) = (identity))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl3319, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 (((inverse @ X0) != (identity))
% 3.58/1.10 | ((X0) != (identity))
% 3.58/1.10 | ((inverse @ X1) != (identity))
% 3.58/1.10 | ((X1) != (identity))
% 3.58/1.10 | ((identity) != (identity)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl3318, zip_derived_cl325])).
% 3.58/1.10 thf(zip_derived_cl3320, plain,
% 3.58/1.10 (![X0 : $i, X1 : $i]:
% 3.58/1.10 (((X1) != (identity))
% 3.58/1.10 | ((inverse @ X1) != (identity))
% 3.58/1.10 | ((X0) != (identity))
% 3.58/1.10 | ((inverse @ X0) != (identity)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl3319])).
% 3.58/1.10 thf(zip_derived_cl3321, plain,
% 3.58/1.10 (![X0 : $i]:
% 3.58/1.10 (((inverse @ X0) != (identity))
% 3.58/1.10 | ((X0) != (identity))
% 3.58/1.10 | ((inverse @ identity) != (identity)))),
% 3.58/1.10 inference('eq_res', [status(thm)], [zip_derived_cl3320])).
% 3.58/1.10 thf(zip_derived_cl325, plain, (((inverse @ identity) = (identity))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl3322, plain,
% 3.58/1.10 (![X0 : $i]:
% 3.58/1.10 (((inverse @ X0) != (identity))
% 3.58/1.10 | ((X0) != (identity))
% 3.58/1.10 | ((identity) != (identity)))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl3321, zip_derived_cl325])).
% 3.58/1.10 thf(zip_derived_cl3323, plain,
% 3.58/1.10 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl3322])).
% 3.58/1.10 thf(zip_derived_cl3324, plain, (((inverse @ identity) != (identity))),
% 3.58/1.10 inference('eq_res', [status(thm)], [zip_derived_cl3323])).
% 3.58/1.10 thf(zip_derived_cl325, plain, (((inverse @ identity) = (identity))),
% 3.58/1.10 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 3.58/1.10 thf(zip_derived_cl3325, plain, (((identity) != (identity))),
% 3.58/1.10 inference('demod', [status(thm)], [zip_derived_cl3324, zip_derived_cl325])).
% 3.58/1.10 thf(zip_derived_cl3326, plain, ($false),
% 3.58/1.10 inference('simplify', [status(thm)], [zip_derived_cl3325])).
% 3.58/1.10
% 3.58/1.10 % SZS output end Refutation
% 3.58/1.10
% 3.58/1.10
% 3.58/1.10 % Terminating...
% 3.58/1.17 % Runner terminated.
% 3.58/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------