%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP235-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RfZxruznvp true
% Computer : n013.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 Oct 2 04:36:03 PM UTC 2025
% Result : Unsatisfiable 3.08s 1.33s
% Output : Refutation 3.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GRP235-1 : TPTP v9.2.0. Released v2.5.0.
% 0.05/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RfZxruznvp true
% 0.10/0.34 % Computer : n013.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Wed Oct 1 14:16:38 EDT 2025
% 0.10/0.34 % CPUTime :
% 0.10/0.34 % Running portfolio for 300 s
% 0.10/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Number of cores: 8
% 0.10/0.35 % Python version: Python 3.6.8
% 0.10/0.35 % Running in FO mode
% 0.16/0.57 % Total configuration time : 435
% 0.16/0.57 % Estimated wc time : 1092
% 0.16/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.64/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.64/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.93/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.93/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.93/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.93/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.93/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 3.08/1.33 % Solved by fo/fo7.sh.
% 3.08/1.33 % done 627 iterations in 0.445s
% 3.08/1.33 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.08/1.33 % SZS output start Refutation
% 3.08/1.33 thf(sk_c2_type, type, sk_c2: $i).
% 3.08/1.33 thf(sk_c4_type, type, sk_c4: $i).
% 3.08/1.33 thf(sk_c1_type, type, sk_c1: $i).
% 3.08/1.33 thf(sk_c5_type, type, sk_c5: $i).
% 3.08/1.33 thf(identity_type, type, identity: $i).
% 3.08/1.33 thf(multiply_type, type, multiply: $i > $i > $i).
% 3.08/1.33 thf(sk_c7_type, type, sk_c7: $i).
% 3.08/1.33 thf(inverse_type, type, inverse: $i > $i).
% 3.08/1.33 thf(sk_c6_type, type, sk_c6: $i).
% 3.08/1.33 thf(sk_c3_type, type, sk_c3: $i).
% 3.08/1.33 thf(sk_c8_type, type, sk_c8: $i).
% 3.08/1.33 thf(prove_this_31, conjecture,
% 3.08/1.33 (~( ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 3.08/1.33 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 3.08/1.33 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 3.08/1.33 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 3.08/1.33 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 3.08/1.33 ( ( multiply @ X6 @ sk_c8 ) != ( sk_c7 ) ) |
% 3.08/1.33 ( ( inverse @ X5 ) != ( X6 ) ) |
% 3.08/1.33 ( ( multiply @ X5 @ X6 ) != ( sk_c7 ) ) |
% 3.08/1.33 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 3.08/1.33 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) ))).
% 3.08/1.33 thf(zf_stmt_0, negated_conjecture,
% 3.08/1.33 (( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 3.08/1.33 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 3.08/1.33 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 3.08/1.33 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 3.08/1.33 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 3.08/1.33 ( ( multiply @ X6 @ sk_c8 ) != ( sk_c7 ) ) |
% 3.08/1.33 ( ( inverse @ X5 ) != ( X6 ) ) |
% 3.08/1.33 ( ( multiply @ X5 @ X6 ) != ( sk_c7 ) ) |
% 3.08/1.33 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 3.08/1.33 ( ( inverse @ X4 ) != ( sk_c8 ) ) | ( ( inverse @ sk_c8 ) != ( sk_c7 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 3.08/1.33 thf(zip_derived_cl33, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.08/1.33 (((inverse @ X0) != (sk_c8))
% 3.08/1.33 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.08/1.33 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 3.08/1.33 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 3.08/1.33 | ((inverse @ X2) != (sk_c8))
% 3.08/1.33 | ((multiply @ X3 @ sk_c8) != (sk_c7))
% 3.08/1.33 | ((inverse @ X4) != (X3))
% 3.08/1.33 | ((multiply @ X4 @ X3) != (sk_c7))
% 3.08/1.33 | ((multiply @ X5 @ sk_c7) != (sk_c8))
% 3.08/1.33 | ((inverse @ X5) != (sk_c8))
% 3.08/1.33 | ((inverse @ sk_c8) != (sk_c7)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.08/1.33 thf(zip_derived_cl34, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.08/1.33 (((inverse @ X0) != (sk_c8))
% 3.08/1.33 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.08/1.33 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 3.08/1.33 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 3.08/1.33 | ((inverse @ X2) != (sk_c8))
% 3.08/1.33 | ((multiply @ X3 @ sk_c8) != (inverse @ sk_c8))
% 3.08/1.33 | ((inverse @ X4) != (X3))
% 3.08/1.33 | ((multiply @ X4 @ X3) != (inverse @ sk_c8))
% 3.08/1.33 | ((multiply @ X5 @ (inverse @ sk_c8)) != (sk_c8))
% 3.08/1.33 | ((inverse @ X5) != (sk_c8))
% 3.08/1.33 | ((inverse @ sk_c8) != (sk_c7)))),
% 3.08/1.33 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 3.08/1.33 thf(prove_this_6, conjecture,
% 3.08/1.33 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.08/1.33 thf(zf_stmt_1, negated_conjecture,
% 3.08/1.33 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 3.08/1.33 thf(zip_derived_cl8, plain,
% 3.08/1.33 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.08/1.33 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 3.08/1.33 thf(zip_derived_cl1, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_inverse])).
% 3.08/1.33 thf(zip_derived_cl37, plain,
% 3.08/1.33 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 3.08/1.33 | ((inverse @ sk_c4) = (sk_c8)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl1, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_inverse])).
% 3.08/1.33 thf(associativity, axiom,
% 3.08/1.33 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 3.08/1.33 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 3.08/1.33 thf(zip_derived_cl2, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.08/1.33 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.08/1.33 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.08/1.33 inference('cnf', [status(esa)], [associativity])).
% 3.08/1.33 thf(zip_derived_cl69, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((multiply @ identity @ X0)
% 3.08/1.33 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 3.08/1.33 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 3.08/1.33 thf(zip_derived_cl0, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_identity])).
% 3.08/1.33 thf(zip_derived_cl85, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl100, plain,
% 3.08/1.33 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.08/1.33 | ((inverse @ sk_c4) = (sk_c8)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl85])).
% 3.08/1.33 thf(prove_this_11, conjecture,
% 3.08/1.33 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 3.08/1.33 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 3.08/1.33 thf(zf_stmt_2, negated_conjecture,
% 3.08/1.33 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 3.08/1.33 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 3.08/1.33 thf(zip_derived_cl13, plain,
% 3.08/1.33 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.08/1.33 thf(zip_derived_cl213, plain,
% 3.08/1.33 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c7)
% 3.08/1.33 = (sk_c8))
% 3.08/1.33 | ((inverse @ sk_c4) = (sk_c8))
% 3.08/1.33 | ((inverse @ sk_c4) = (sk_c8)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl13])).
% 3.08/1.33 thf(zip_derived_cl2, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.08/1.33 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.08/1.33 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.08/1.33 inference('cnf', [status(esa)], [associativity])).
% 3.08/1.33 thf(zip_derived_cl0, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_identity])).
% 3.08/1.33 thf(zip_derived_cl221, plain,
% 3.08/1.33 ((((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))
% 3.08/1.33 | ((inverse @ sk_c4) = (sk_c8))
% 3.08/1.33 | ((inverse @ sk_c4) = (sk_c8)))),
% 3.08/1.33 inference('demod', [status(thm)],
% 3.08/1.33 [zip_derived_cl213, zip_derived_cl2, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl222, plain,
% 3.08/1.33 ((((inverse @ sk_c4) = (sk_c8))
% 3.08/1.33 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl221])).
% 3.08/1.33 thf(zip_derived_cl1, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_inverse])).
% 3.08/1.33 thf(zip_derived_cl85, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl95, plain,
% 3.08/1.33 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl85])).
% 3.08/1.33 thf(zip_derived_cl85, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl85, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl92, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl85])).
% 3.08/1.33 thf(zip_derived_cl480, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 3.08/1.33 thf(zip_derived_cl95, plain,
% 3.08/1.33 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl85])).
% 3.08/1.33 thf(zip_derived_cl507, plain,
% 3.08/1.33 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl95])).
% 3.08/1.33 thf(zip_derived_cl518, plain,
% 3.08/1.33 ((((sk_c4) = (inverse @ sk_c8))
% 3.08/1.33 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl222, zip_derived_cl507])).
% 3.08/1.33 thf(prove_this_7, conjecture,
% 3.08/1.33 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 3.08/1.33 thf(zf_stmt_3, negated_conjecture,
% 3.08/1.33 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 3.08/1.33 thf(zip_derived_cl9, plain,
% 3.08/1.33 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.08/1.33 thf(zip_derived_cl95, plain,
% 3.08/1.33 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl85])).
% 3.08/1.33 thf(zip_derived_cl303, plain,
% 3.08/1.33 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.08/1.33 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl95])).
% 3.08/1.33 thf(prove_this_12, conjecture,
% 3.08/1.33 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 3.08/1.33 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 3.08/1.33 thf(zf_stmt_4, negated_conjecture,
% 3.08/1.33 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 3.08/1.33 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c8 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 3.08/1.33 thf(zip_derived_cl14, plain,
% 3.08/1.33 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 3.08/1.33 | ((multiply @ sk_c1 @ sk_c7) = (sk_c8)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_4])).
% 3.08/1.33 thf(zip_derived_cl387, plain,
% 3.08/1.33 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c7)
% 3.08/1.33 = (sk_c8))
% 3.08/1.33 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 3.08/1.33 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl303, zip_derived_cl14])).
% 3.08/1.33 thf(zip_derived_cl2, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.08/1.33 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.08/1.33 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.08/1.33 inference('cnf', [status(esa)], [associativity])).
% 3.08/1.33 thf(zip_derived_cl0, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_identity])).
% 3.08/1.33 thf(zip_derived_cl397, plain,
% 3.08/1.33 ((((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))
% 3.08/1.33 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 3.08/1.33 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 3.08/1.33 inference('demod', [status(thm)],
% 3.08/1.33 [zip_derived_cl387, zip_derived_cl2, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl398, plain,
% 3.08/1.33 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 3.08/1.33 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl397])).
% 3.08/1.33 thf(zip_derived_cl2613, plain,
% 3.08/1.33 ((((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))
% 3.08/1.33 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))
% 3.08/1.33 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl518, zip_derived_cl398])).
% 3.08/1.33 thf(zip_derived_cl2617, plain,
% 3.08/1.33 (((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl2613])).
% 3.08/1.33 thf(zip_derived_cl507, plain,
% 3.08/1.33 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl95])).
% 3.08/1.33 thf(zip_derived_cl85, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl514, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl507, zip_derived_cl85])).
% 3.08/1.33 thf(zip_derived_cl2623, plain, (((sk_c7) = (multiply @ sk_c8 @ sk_c8))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl2617, zip_derived_cl514])).
% 3.08/1.33 thf(zip_derived_cl2679, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.08/1.33 (((inverse @ X0) != (sk_c8))
% 3.08/1.33 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.08/1.33 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 3.08/1.33 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 3.08/1.33 | ((inverse @ X2) != (sk_c8))
% 3.08/1.33 | ((multiply @ X3 @ sk_c8) != (inverse @ sk_c8))
% 3.08/1.33 | ((inverse @ X4) != (X3))
% 3.08/1.33 | ((multiply @ X4 @ X3) != (inverse @ sk_c8))
% 3.08/1.33 | ((multiply @ X5 @ (inverse @ sk_c8)) != (sk_c8))
% 3.08/1.33 | ((inverse @ X5) != (sk_c8))
% 3.08/1.33 | ((inverse @ sk_c8) != (multiply @ sk_c8 @ sk_c8)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl2623])).
% 3.08/1.33 thf(zip_derived_cl2680, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.08/1.33 (((inverse @ X0) != (sk_c8))
% 3.08/1.33 | ((multiply @ X0 @ sk_c8) != (X1))
% 3.08/1.33 | ((multiply @ sk_c8 @ X1) != (multiply @ sk_c8 @ sk_c8))
% 3.08/1.33 | ((multiply @ X2 @ (multiply @ sk_c8 @ sk_c8)) != (sk_c8))
% 3.08/1.33 | ((inverse @ X2) != (sk_c8))
% 3.08/1.33 | ((multiply @ X3 @ sk_c8) != (multiply @ sk_c8 @ sk_c8))
% 3.08/1.33 | ((inverse @ X4) != (X3))
% 3.08/1.33 | ((multiply @ X4 @ X3) != (multiply @ sk_c8 @ sk_c8))
% 3.08/1.33 | ((multiply @ X5 @ (multiply @ sk_c8 @ sk_c8)) != (sk_c8))
% 3.08/1.33 | ((inverse @ X5) != (sk_c8))
% 3.08/1.33 | ((inverse @ sk_c8) != (multiply @ sk_c8 @ sk_c8)))),
% 3.08/1.33 inference('local_rewriting', [status(thm)], [zip_derived_cl2679])).
% 3.08/1.33 thf(prove_this_23, conjecture,
% 3.08/1.33 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 3.08/1.33 thf(zf_stmt_5, negated_conjecture,
% 3.08/1.33 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 3.08/1.33 thf(zip_derived_cl25, plain,
% 3.08/1.33 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c3)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_5])).
% 3.08/1.33 thf(prove_this_18, conjecture,
% 3.08/1.33 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 3.08/1.33 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 3.08/1.33 thf(zf_stmt_6, negated_conjecture,
% 3.08/1.33 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 3.08/1.33 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 3.08/1.33 thf(zip_derived_cl20, plain,
% 3.08/1.33 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 3.08/1.33 | ((multiply @ sk_c2 @ sk_c3) = (sk_c7)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_6])).
% 3.08/1.33 thf(zip_derived_cl166, plain,
% 3.08/1.33 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c7))
% 3.08/1.33 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 3.08/1.33 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl20])).
% 3.08/1.33 thf(zip_derived_cl169, plain,
% 3.08/1.33 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 3.08/1.33 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c7)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl166])).
% 3.08/1.33 thf(zip_derived_cl2623, plain, (((sk_c7) = (multiply @ sk_c8 @ sk_c8))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl2617, zip_derived_cl514])).
% 3.08/1.33 thf(zip_derived_cl507, plain,
% 3.08/1.33 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl95])).
% 3.08/1.33 thf(zip_derived_cl1, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_inverse])).
% 3.08/1.33 thf(zip_derived_cl512, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl507, zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl2623, plain, (((sk_c7) = (multiply @ sk_c8 @ sk_c8))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl2617, zip_derived_cl514])).
% 3.08/1.33 thf(zip_derived_cl3276, plain,
% 3.08/1.33 ((((multiply @ sk_c8 @ sk_c6) = (multiply @ sk_c8 @ sk_c8))
% 3.08/1.33 | ((identity) = (multiply @ sk_c8 @ sk_c8)))),
% 3.08/1.33 inference('demod', [status(thm)],
% 3.08/1.33 [zip_derived_cl169, zip_derived_cl2623, zip_derived_cl512,
% 3.08/1.33 zip_derived_cl2623])).
% 3.08/1.33 thf(zip_derived_cl85, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl3278, plain,
% 3.08/1.33 ((((sk_c6) = (multiply @ (inverse @ sk_c8) @ (multiply @ sk_c8 @ sk_c8)))
% 3.08/1.33 | ((identity) = (multiply @ sk_c8 @ sk_c8)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl3276, zip_derived_cl85])).
% 3.08/1.33 thf(zip_derived_cl85, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl3290, plain,
% 3.08/1.33 ((((sk_c6) = (sk_c8)) | ((identity) = (multiply @ sk_c8 @ sk_c8)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl3278, zip_derived_cl85])).
% 3.08/1.33 thf(prove_this_25, conjecture,
% 3.08/1.33 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 3.08/1.33 thf(zf_stmt_7, negated_conjecture,
% 3.08/1.33 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 3.08/1.33 thf(zip_derived_cl27, plain,
% 3.08/1.33 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c3)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.08/1.33 thf(prove_this_20, conjecture,
% 3.08/1.33 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 3.08/1.33 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 3.08/1.33 thf(zf_stmt_8, negated_conjecture,
% 3.08/1.33 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 3.08/1.33 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 3.08/1.33 thf(zip_derived_cl22, plain,
% 3.08/1.33 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c3) = (sk_c7)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_8])).
% 3.08/1.33 thf(zip_derived_cl52, plain,
% 3.08/1.33 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c7))
% 3.08/1.33 | ((inverse @ sk_c5) = (sk_c8))
% 3.08/1.33 | ((inverse @ sk_c5) = (sk_c8)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl22])).
% 3.08/1.33 thf(zip_derived_cl53, plain,
% 3.08/1.33 ((((inverse @ sk_c5) = (sk_c8))
% 3.08/1.33 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c7)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl52])).
% 3.08/1.33 thf(zip_derived_cl512, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl507, zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl1332, plain,
% 3.08/1.33 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c7)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl512])).
% 3.08/1.33 thf(zip_derived_cl507, plain,
% 3.08/1.33 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl95])).
% 3.08/1.33 thf(zip_derived_cl1334, plain,
% 3.08/1.33 ((((sk_c5) = (inverse @ sk_c8)) | ((identity) = (sk_c7)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl1332, zip_derived_cl507])).
% 3.08/1.33 thf(prove_this_24, conjecture,
% 3.08/1.33 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c2 ) = ( sk_c3 ) ) ))).
% 3.08/1.33 thf(zf_stmt_9, negated_conjecture,
% 3.08/1.33 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c2 ) = ( sk_c3 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 3.08/1.33 thf(zip_derived_cl26, plain,
% 3.08/1.33 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c3)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_9])).
% 3.08/1.33 thf(prove_this_19, conjecture,
% 3.08/1.33 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 3.08/1.33 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 3.08/1.33 thf(zf_stmt_10, negated_conjecture,
% 3.08/1.33 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 3.08/1.33 ( ( multiply @ sk_c2 @ sk_c3 ) = ( sk_c7 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 3.08/1.33 thf(zip_derived_cl21, plain,
% 3.08/1.33 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 3.08/1.33 | ((multiply @ sk_c2 @ sk_c3) = (sk_c7)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.08/1.33 thf(zip_derived_cl175, plain,
% 3.08/1.33 ((((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c7))
% 3.08/1.33 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 3.08/1.33 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl21])).
% 3.08/1.33 thf(zip_derived_cl177, plain,
% 3.08/1.33 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 3.08/1.33 | ((multiply @ sk_c2 @ (inverse @ sk_c2)) = (sk_c7)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 3.08/1.33 thf(zip_derived_cl512, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl507, zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl2344, plain,
% 3.08/1.33 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c7)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl177, zip_derived_cl512])).
% 3.08/1.33 thf(zip_derived_cl2353, plain,
% 3.08/1.33 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 3.08/1.33 | ((identity) = (sk_c7))
% 3.08/1.33 | ((identity) = (sk_c7)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl1334, zip_derived_cl2344])).
% 3.08/1.33 thf(zip_derived_cl1, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_inverse])).
% 3.08/1.33 thf(zip_derived_cl2358, plain,
% 3.08/1.33 ((((identity) = (sk_c6))
% 3.08/1.33 | ((identity) = (sk_c7))
% 3.08/1.33 | ((identity) = (sk_c7)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl2353, zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl2359, plain,
% 3.08/1.33 ((((identity) = (sk_c7)) | ((identity) = (sk_c6)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl2358])).
% 3.08/1.33 thf(zip_derived_cl2623, plain, (((sk_c7) = (multiply @ sk_c8 @ sk_c8))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl2617, zip_derived_cl514])).
% 3.08/1.33 thf(zip_derived_cl2753, plain,
% 3.08/1.33 ((((identity) = (multiply @ sk_c8 @ sk_c8)) | ((identity) = (sk_c6)))),
% 3.08/1.33 inference('demod', [status(thm)],
% 3.08/1.33 [zip_derived_cl2359, zip_derived_cl2623])).
% 3.08/1.33 thf(zip_derived_cl3294, plain,
% 3.08/1.33 ((((identity) = (sk_c8))
% 3.08/1.33 | ((identity) = (multiply @ sk_c8 @ sk_c8))
% 3.08/1.33 | ((identity) = (multiply @ sk_c8 @ sk_c8)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl3290, zip_derived_cl2753])).
% 3.08/1.33 thf(zip_derived_cl3297, plain,
% 3.08/1.33 ((((identity) = (multiply @ sk_c8 @ sk_c8)) | ((identity) = (sk_c8)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3294])).
% 3.08/1.33 thf(prove_this_3, conjecture,
% 3.08/1.33 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.08/1.33 thf(zf_stmt_11, negated_conjecture,
% 3.08/1.33 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 3.08/1.33 thf(zip_derived_cl5, plain,
% 3.08/1.33 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c8) = (sk_c7)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.08/1.33 thf(zip_derived_cl85, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl98, plain,
% 3.08/1.33 ((((sk_c6) = (multiply @ (inverse @ sk_c8) @ sk_c7))
% 3.08/1.33 | ((inverse @ sk_c8) = (sk_c7)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl85])).
% 3.08/1.33 thf(zip_derived_cl2617, plain,
% 3.08/1.33 (((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl2613])).
% 3.08/1.33 thf(zip_derived_cl2620, plain,
% 3.08/1.33 ((((sk_c6) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c7)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl2617])).
% 3.08/1.33 thf(prove_this_5, conjecture,
% 3.08/1.33 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.08/1.33 thf(zf_stmt_12, negated_conjecture,
% 3.08/1.33 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 3.08/1.33 thf(zip_derived_cl7, plain,
% 3.08/1.33 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c8) = (sk_c7)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_12])).
% 3.08/1.33 thf(zip_derived_cl1, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_inverse])).
% 3.08/1.33 thf(zip_derived_cl36, plain,
% 3.08/1.33 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 3.08/1.33 | ((inverse @ sk_c8) = (sk_c7)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl85, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl99, plain,
% 3.08/1.33 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 3.08/1.33 | ((inverse @ sk_c8) = (sk_c7)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl85])).
% 3.08/1.33 thf(prove_this_4, conjecture,
% 3.08/1.33 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) ))).
% 3.08/1.33 thf(zf_stmt_13, negated_conjecture,
% 3.08/1.33 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 3.08/1.33 ( ( inverse @ sk_c8 ) = ( sk_c7 ) )),
% 3.08/1.33 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 3.08/1.33 thf(zip_derived_cl6, plain,
% 3.08/1.33 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c8) = (sk_c7)))),
% 3.08/1.33 inference('cnf', [status(esa)], [zf_stmt_13])).
% 3.08/1.33 thf(zip_derived_cl130, plain,
% 3.08/1.33 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 3.08/1.33 = (sk_c6))
% 3.08/1.33 | ((inverse @ sk_c8) = (sk_c7))
% 3.08/1.33 | ((inverse @ sk_c8) = (sk_c7)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl6])).
% 3.08/1.33 thf(zip_derived_cl2, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.08/1.33 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 3.08/1.33 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 3.08/1.33 inference('cnf', [status(esa)], [associativity])).
% 3.08/1.33 thf(zip_derived_cl0, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_identity])).
% 3.08/1.33 thf(zip_derived_cl1, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_inverse])).
% 3.08/1.33 thf(zip_derived_cl133, plain,
% 3.08/1.33 ((((identity) = (sk_c6))
% 3.08/1.33 | ((inverse @ sk_c8) = (sk_c7))
% 3.08/1.33 | ((inverse @ sk_c8) = (sk_c7)))),
% 3.08/1.33 inference('demod', [status(thm)],
% 3.08/1.33 [zip_derived_cl130, zip_derived_cl2, zip_derived_cl0,
% 3.08/1.33 zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl134, plain,
% 3.08/1.33 ((((inverse @ sk_c8) = (sk_c7)) | ((identity) = (sk_c6)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl133])).
% 3.08/1.33 thf(zip_derived_cl2641, plain,
% 3.08/1.33 ((((identity) = (sk_c8))
% 3.08/1.33 | ((inverse @ sk_c8) = (sk_c7))
% 3.08/1.33 | ((inverse @ sk_c8) = (sk_c7)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl2620, zip_derived_cl134])).
% 3.08/1.33 thf(zip_derived_cl2652, plain,
% 3.08/1.33 ((((inverse @ sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl2641])).
% 3.08/1.33 thf(zip_derived_cl2623, plain, (((sk_c7) = (multiply @ sk_c8 @ sk_c8))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl2617, zip_derived_cl514])).
% 3.08/1.33 thf(zip_derived_cl2765, plain,
% 3.08/1.33 ((((inverse @ sk_c8) = (multiply @ sk_c8 @ sk_c8))
% 3.08/1.33 | ((identity) = (sk_c8)))),
% 3.08/1.33 inference('demod', [status(thm)],
% 3.08/1.33 [zip_derived_cl2652, zip_derived_cl2623])).
% 3.08/1.33 thf(zip_derived_cl507, plain,
% 3.08/1.33 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl480, zip_derived_cl95])).
% 3.08/1.33 thf(zip_derived_cl2767, plain,
% 3.08/1.33 ((((sk_c8) = (inverse @ (multiply @ sk_c8 @ sk_c8)))
% 3.08/1.33 | ((identity) = (sk_c8)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl2765, zip_derived_cl507])).
% 3.08/1.33 thf(zip_derived_cl3303, plain,
% 3.08/1.33 ((((sk_c8) = (inverse @ identity))
% 3.08/1.33 | ((identity) = (sk_c8))
% 3.08/1.33 | ((identity) = (sk_c8)))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl3297, zip_derived_cl2767])).
% 3.08/1.33 thf(zip_derived_cl0, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_identity])).
% 3.08/1.33 thf(zip_derived_cl85, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl94, plain,
% 3.08/1.33 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl85])).
% 3.08/1.33 thf(zip_derived_cl85, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl120, plain,
% 3.08/1.33 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl85])).
% 3.08/1.33 thf(zip_derived_cl1, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_inverse])).
% 3.08/1.33 thf(zip_derived_cl310, plain, (((inverse @ identity) = (identity))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl3308, plain,
% 3.08/1.33 ((((sk_c8) = (identity))
% 3.08/1.33 | ((identity) = (sk_c8))
% 3.08/1.33 | ((identity) = (sk_c8)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl3303, zip_derived_cl310])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl480, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl0, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_identity])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl0, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_identity])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl0, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_identity])).
% 3.08/1.33 thf(zip_derived_cl480, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl480, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl0, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_identity])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl0, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_identity])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl0, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_identity])).
% 3.08/1.33 thf(zip_derived_cl480, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl310, plain, (((inverse @ identity) = (identity))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl3309, plain, (((sk_c8) = (identity))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3308])).
% 3.08/1.33 thf(zip_derived_cl0, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 3.08/1.33 inference('cnf', [status(esa)], [left_identity])).
% 3.08/1.33 thf(zip_derived_cl3353, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.08/1.33 (((inverse @ X0) != (identity))
% 3.08/1.33 | ((X0) != (X1))
% 3.08/1.33 | ((X1) != (identity))
% 3.08/1.33 | ((X2) != (identity))
% 3.08/1.33 | ((inverse @ X2) != (identity))
% 3.08/1.33 | ((X3) != (identity))
% 3.08/1.33 | ((inverse @ X4) != (X3))
% 3.08/1.33 | ((multiply @ X4 @ X3) != (identity))
% 3.08/1.33 | ((X5) != (identity))
% 3.08/1.33 | ((inverse @ X5) != (identity))
% 3.08/1.33 | ((identity) != (identity)))),
% 3.08/1.33 inference('demod', [status(thm)],
% 3.08/1.33 [zip_derived_cl2680, zip_derived_cl3309, zip_derived_cl3309,
% 3.08/1.33 zip_derived_cl480, zip_derived_cl3309, zip_derived_cl0,
% 3.08/1.33 zip_derived_cl3309, zip_derived_cl3309, zip_derived_cl0,
% 3.08/1.33 zip_derived_cl3309, zip_derived_cl3309, zip_derived_cl0,
% 3.08/1.33 zip_derived_cl480, zip_derived_cl3309, zip_derived_cl3309,
% 3.08/1.33 zip_derived_cl3309, zip_derived_cl480, zip_derived_cl3309,
% 3.08/1.33 zip_derived_cl3309, zip_derived_cl0, zip_derived_cl3309,
% 3.08/1.33 zip_derived_cl3309, zip_derived_cl0, zip_derived_cl3309,
% 3.08/1.33 zip_derived_cl3309, zip_derived_cl0, zip_derived_cl480,
% 3.08/1.33 zip_derived_cl3309, zip_derived_cl3309, zip_derived_cl3309,
% 3.08/1.33 zip_derived_cl310, zip_derived_cl3309, zip_derived_cl3309,
% 3.08/1.33 zip_derived_cl0])).
% 3.08/1.33 thf(zip_derived_cl3354, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.08/1.33 (((inverse @ X5) != (identity))
% 3.08/1.33 | ((X5) != (identity))
% 3.08/1.33 | ((multiply @ X4 @ X3) != (identity))
% 3.08/1.33 | ((inverse @ X4) != (X3))
% 3.08/1.33 | ((X3) != (identity))
% 3.08/1.33 | ((inverse @ X2) != (identity))
% 3.08/1.33 | ((X2) != (identity))
% 3.08/1.33 | ((X1) != (identity))
% 3.08/1.33 | ((X0) != (X1))
% 3.08/1.33 | ((inverse @ X0) != (identity)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3353])).
% 3.08/1.33 thf(zip_derived_cl3390, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.08/1.33 (((inverse @ X0) != (identity))
% 3.08/1.33 | ((X0) != (identity))
% 3.08/1.33 | ((X1) != (identity))
% 3.08/1.33 | ((inverse @ X1) != (identity))
% 3.08/1.33 | ((X2) != (identity))
% 3.08/1.33 | ((inverse @ X3) != (X2))
% 3.08/1.33 | ((multiply @ X3 @ X2) != (identity))
% 3.08/1.33 | ((X4) != (identity))
% 3.08/1.33 | ((inverse @ X4) != (identity)))),
% 3.08/1.33 inference('eq_res', [status(thm)], [zip_derived_cl3354])).
% 3.08/1.33 thf(zip_derived_cl3391, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.08/1.33 (((inverse @ X0) != (identity))
% 3.08/1.33 | ((X0) != (identity))
% 3.08/1.33 | ((multiply @ X2 @ X1) != (identity))
% 3.08/1.33 | ((inverse @ X2) != (X1))
% 3.08/1.33 | ((X1) != (identity))
% 3.08/1.33 | ((inverse @ X3) != (identity))
% 3.08/1.33 | ((X3) != (identity))
% 3.08/1.33 | ((inverse @ identity) != (identity)))),
% 3.08/1.33 inference('eq_res', [status(thm)], [zip_derived_cl3390])).
% 3.08/1.33 thf(zip_derived_cl310, plain, (((inverse @ identity) = (identity))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl3392, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.08/1.33 (((inverse @ X0) != (identity))
% 3.08/1.33 | ((X0) != (identity))
% 3.08/1.33 | ((multiply @ X2 @ X1) != (identity))
% 3.08/1.33 | ((inverse @ X2) != (X1))
% 3.08/1.33 | ((X1) != (identity))
% 3.08/1.33 | ((inverse @ X3) != (identity))
% 3.08/1.33 | ((X3) != (identity))
% 3.08/1.33 | ((identity) != (identity)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl3391, zip_derived_cl310])).
% 3.08/1.33 thf(zip_derived_cl3393, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.08/1.33 (((X3) != (identity))
% 3.08/1.33 | ((inverse @ X3) != (identity))
% 3.08/1.33 | ((X1) != (identity))
% 3.08/1.33 | ((inverse @ X2) != (X1))
% 3.08/1.33 | ((multiply @ X2 @ X1) != (identity))
% 3.08/1.33 | ((X0) != (identity))
% 3.08/1.33 | ((inverse @ X0) != (identity)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3392])).
% 3.08/1.33 thf(zip_derived_cl3414, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.08/1.33 (((inverse @ X0) != (identity))
% 3.08/1.33 | ((X0) != (identity))
% 3.08/1.33 | ((multiply @ X2 @ X1) != (identity))
% 3.08/1.33 | ((inverse @ X2) != (X1))
% 3.08/1.33 | ((X1) != (identity))
% 3.08/1.33 | ((inverse @ identity) != (identity)))),
% 3.08/1.33 inference('eq_res', [status(thm)], [zip_derived_cl3393])).
% 3.08/1.33 thf(zip_derived_cl310, plain, (((inverse @ identity) = (identity))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl3415, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.08/1.33 (((inverse @ X0) != (identity))
% 3.08/1.33 | ((X0) != (identity))
% 3.08/1.33 | ((multiply @ X2 @ X1) != (identity))
% 3.08/1.33 | ((inverse @ X2) != (X1))
% 3.08/1.33 | ((X1) != (identity))
% 3.08/1.33 | ((identity) != (identity)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl3414, zip_derived_cl310])).
% 3.08/1.33 thf(zip_derived_cl3416, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.08/1.33 (((X1) != (identity))
% 3.08/1.33 | ((inverse @ X2) != (X1))
% 3.08/1.33 | ((multiply @ X2 @ X1) != (identity))
% 3.08/1.33 | ((X0) != (identity))
% 3.08/1.33 | ((inverse @ X0) != (identity)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3415])).
% 3.08/1.33 thf(zip_derived_cl3417, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 (((inverse @ X0) != (identity))
% 3.08/1.33 | ((X0) != (identity))
% 3.08/1.33 | ((multiply @ X1 @ identity) != (identity))
% 3.08/1.33 | ((inverse @ X1) != (identity)))),
% 3.08/1.33 inference('eq_res', [status(thm)], [zip_derived_cl3416])).
% 3.08/1.33 thf(zip_derived_cl480, plain,
% 3.08/1.33 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl92])).
% 3.08/1.33 thf(zip_derived_cl3418, plain,
% 3.08/1.33 (![X0 : $i, X1 : $i]:
% 3.08/1.33 (((inverse @ X0) != (identity))
% 3.08/1.33 | ((X0) != (identity))
% 3.08/1.33 | ((X1) != (identity))
% 3.08/1.33 | ((inverse @ X1) != (identity)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl3417, zip_derived_cl480])).
% 3.08/1.33 thf(zip_derived_cl3419, plain,
% 3.08/1.33 (![X0 : $i]:
% 3.08/1.33 (((inverse @ X0) != (identity))
% 3.08/1.33 | ((X0) != (identity))
% 3.08/1.33 | ((inverse @ identity) != (identity)))),
% 3.08/1.33 inference('eq_res', [status(thm)], [zip_derived_cl3418])).
% 3.08/1.33 thf(zip_derived_cl310, plain, (((inverse @ identity) = (identity))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl3420, plain,
% 3.08/1.33 (![X0 : $i]:
% 3.08/1.33 (((inverse @ X0) != (identity))
% 3.08/1.33 | ((X0) != (identity))
% 3.08/1.33 | ((identity) != (identity)))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl3419, zip_derived_cl310])).
% 3.08/1.33 thf(zip_derived_cl3421, plain,
% 3.08/1.33 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3420])).
% 3.08/1.33 thf(zip_derived_cl3422, plain, (((inverse @ identity) != (identity))),
% 3.08/1.33 inference('eq_res', [status(thm)], [zip_derived_cl3421])).
% 3.08/1.33 thf(zip_derived_cl310, plain, (((inverse @ identity) = (identity))),
% 3.08/1.33 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl1])).
% 3.08/1.33 thf(zip_derived_cl3423, plain, (((identity) != (identity))),
% 3.08/1.33 inference('demod', [status(thm)], [zip_derived_cl3422, zip_derived_cl310])).
% 3.08/1.33 thf(zip_derived_cl3424, plain, ($false),
% 3.08/1.33 inference('simplify', [status(thm)], [zip_derived_cl3423])).
% 3.08/1.33
% 3.08/1.33 % SZS output end Refutation
% 3.08/1.33
% 3.08/1.33
% 3.08/1.33 % Terminating...
% 3.33/1.48 % Runner terminated.
% 3.33/1.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------