%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP240-1 : 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.zXdRsWXlcx true
% Computer : n019.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 04:36:04 PM UTC 2025
% Result : Unsatisfiable 0.59s 0.92s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP240-1 : TPTP v9.2.0. Released v2.5.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zXdRsWXlcx true
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 300
% 0.18/0.33 % DateTime : Wed Oct 1 14:04:08 EDT 2025
% 0.18/0.33 % CPUTime :
% 0.18/0.33 % Running portfolio for 300 s
% 0.18/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.33 % Number of cores: 8
% 0.18/0.34 % Python version: Python 3.6.8
% 0.18/0.34 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.92 % Solved by fo/fo7.sh.
% 0.59/0.92 % done 337 iterations in 0.162s
% 0.59/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.92 % SZS output start Refutation
% 0.59/0.92 thf(sk_c7_type, type, sk_c7: $i).
% 0.59/0.92 thf(sk_c8_type, type, sk_c8: $i).
% 0.59/0.92 thf(sk_c6_type, type, sk_c6: $i).
% 0.59/0.92 thf(identity_type, type, identity: $i).
% 0.59/0.92 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/0.92 thf(sk_c9_type, type, sk_c9: $i).
% 0.59/0.92 thf(inverse_type, type, inverse: $i > $i).
% 0.59/0.92 thf(sk_c5_type, type, sk_c5: $i).
% 0.59/0.92 thf(sk_c1_type, type, sk_c1: $i).
% 0.59/0.92 thf(sk_c10_type, type, sk_c10: $i).
% 0.59/0.92 thf(prove_this_57, conjecture,
% 0.59/0.92 (~( ( ( inverse @ X8 ) != ( sk_c10 ) ) |
% 0.59/0.92 ( ( multiply @ X8 @ sk_c10 ) != ( X7 ) ) |
% 0.59/0.92 ( ( multiply @ sk_c10 @ X7 ) != ( sk_c9 ) ) |
% 0.59/0.92 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 0.59/0.92 ( ( inverse @ X3 ) != ( X2 ) ) |
% 0.59/0.92 ( ( multiply @ X3 @ X2 ) != ( sk_c9 ) ) |
% 0.59/0.92 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 0.59/0.92 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 0.59/0.92 ( ( inverse @ X6 ) != ( sk_c10 ) ) |
% 0.59/0.92 ( ( multiply @ X6 @ sk_c10 ) != ( X5 ) ) |
% 0.59/0.92 ( ( multiply @ sk_c10 @ X5 ) != ( sk_c9 ) ) |
% 0.59/0.92 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 0.59/0.92 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c10 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c9 ) != ( sk_c10 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c10 ) != ( sk_c9 ) ) ))).
% 0.59/0.92 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.92 (( ( inverse @ X8 ) != ( sk_c10 ) ) |
% 0.59/0.92 ( ( multiply @ X8 @ sk_c10 ) != ( X7 ) ) |
% 0.59/0.92 ( ( multiply @ sk_c10 @ X7 ) != ( sk_c9 ) ) |
% 0.59/0.92 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 0.59/0.92 ( ( inverse @ X3 ) != ( X2 ) ) |
% 0.59/0.92 ( ( multiply @ X3 @ X2 ) != ( sk_c9 ) ) |
% 0.59/0.92 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 0.59/0.92 ( ( inverse @ X1 ) != ( sk_c10 ) ) | ( ( inverse @ X6 ) != ( sk_c10 ) ) |
% 0.59/0.92 ( ( multiply @ X6 @ sk_c10 ) != ( X5 ) ) |
% 0.59/0.92 ( ( multiply @ sk_c10 @ X5 ) != ( sk_c9 ) ) |
% 0.59/0.92 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 0.59/0.92 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c10 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c9 ) != ( sk_c10 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c10 ) != ( sk_c9 ) )),
% 0.59/0.92 inference('cnf.neg', [status(esa)], [prove_this_57])).
% 0.59/0.92 thf(zip_derived_cl59, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.59/0.92 (((inverse @ X0) != (sk_c10))
% 0.59/0.92 | ((multiply @ X0 @ sk_c10) != (X1))
% 0.59/0.92 | ((multiply @ sk_c10 @ X1) != (sk_c9))
% 0.59/0.92 | ((multiply @ X2 @ sk_c10) != (sk_c9))
% 0.59/0.92 | ((inverse @ X3) != (X2))
% 0.59/0.92 | ((multiply @ X3 @ X2) != (sk_c9))
% 0.59/0.92 | ((multiply @ X4 @ sk_c9) != (sk_c10))
% 0.59/0.92 | ((inverse @ X4) != (sk_c10))
% 0.59/0.92 | ((inverse @ X5) != (sk_c10))
% 0.59/0.92 | ((multiply @ X5 @ sk_c10) != (X6))
% 0.59/0.92 | ((multiply @ sk_c10 @ X6) != (sk_c9))
% 0.59/0.92 | ((inverse @ X7) != (sk_c9))
% 0.59/0.92 | ((multiply @ X7 @ sk_c9) != (sk_c10))
% 0.59/0.92 | ((inverse @ sk_c9) != (sk_c10))
% 0.59/0.92 | ((inverse @ sk_c10) != (sk_c9)))),
% 0.59/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.92 thf(zip_derived_cl60, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.59/0.92 (((inverse @ X0) != (sk_c10))
% 0.59/0.92 | ((multiply @ X0 @ sk_c10) != (X1))
% 0.59/0.92 | ((multiply @ sk_c10 @ X1) != (inverse @ sk_c10))
% 0.59/0.92 | ((multiply @ X2 @ sk_c10) != (inverse @ sk_c10))
% 0.59/0.92 | ((inverse @ X3) != (X2))
% 0.59/0.92 | ((multiply @ X3 @ X2) != (inverse @ sk_c10))
% 0.59/0.92 | ((multiply @ X4 @ (inverse @ sk_c10)) != (sk_c10))
% 0.59/0.92 | ((inverse @ X4) != (sk_c10))
% 0.59/0.92 | ((inverse @ X5) != (sk_c10))
% 0.59/0.92 | ((multiply @ X5 @ sk_c10) != (X6))
% 0.59/0.92 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 0.59/0.92 | ((inverse @ X7) != (inverse @ sk_c10))
% 0.59/0.92 | ((multiply @ X7 @ (inverse @ sk_c10)) != (sk_c10))
% 0.59/0.92 | ((inverse @ (inverse @ sk_c10)) != (sk_c10))
% 0.59/0.92 | ((inverse @ sk_c10) != (sk_c9)))),
% 0.59/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl59])).
% 0.59/0.92 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.59/0.92 thf(zip_derived_cl1, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.92 thf(zip_derived_cl1, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.92 thf(associativity, axiom,
% 0.59/0.92 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.59/0.92 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.59/0.92 thf(zip_derived_cl2, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.92 thf(zip_derived_cl96, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 ((multiply @ identity @ X0)
% 0.59/0.92 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.59/0.92 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.59/0.92 thf(zip_derived_cl0, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.92 thf(zip_derived_cl127, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl0])).
% 0.59/0.92 thf(zip_derived_cl143, plain,
% 0.59/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl127])).
% 0.59/0.92 thf(zip_derived_cl127, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl0])).
% 0.59/0.92 thf(zip_derived_cl127, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl0])).
% 0.59/0.92 thf(zip_derived_cl140, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl127])).
% 0.59/0.92 thf(zip_derived_cl949, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl140])).
% 0.59/0.92 thf(zip_derived_cl143, plain,
% 0.59/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl127])).
% 0.59/0.92 thf(zip_derived_cl1008, plain,
% 0.59/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl949, zip_derived_cl143])).
% 0.59/0.92 thf(zip_derived_cl1160, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.59/0.92 (((inverse @ X0) != (sk_c10))
% 0.59/0.92 | ((multiply @ X0 @ sk_c10) != (X1))
% 0.59/0.92 | ((multiply @ sk_c10 @ X1) != (inverse @ sk_c10))
% 0.59/0.92 | ((multiply @ X2 @ sk_c10) != (inverse @ sk_c10))
% 0.59/0.92 | ((inverse @ X3) != (X2))
% 0.59/0.92 | ((multiply @ X3 @ X2) != (inverse @ sk_c10))
% 0.59/0.92 | ((multiply @ X4 @ (inverse @ sk_c10)) != (sk_c10))
% 0.59/0.92 | ((inverse @ X4) != (sk_c10))
% 0.59/0.92 | ((inverse @ X5) != (sk_c10))
% 0.59/0.92 | ((multiply @ X5 @ sk_c10) != (X6))
% 0.59/0.92 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 0.59/0.92 | ((inverse @ X7) != (inverse @ sk_c10))
% 0.59/0.92 | ((multiply @ X7 @ (inverse @ sk_c10)) != (sk_c10))
% 0.59/0.92 | ((sk_c10) != (sk_c10))
% 0.59/0.92 | ((inverse @ sk_c10) != (sk_c9)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl1008])).
% 0.59/0.92 thf(zip_derived_cl1161, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.59/0.92 (((inverse @ sk_c10) != (sk_c9))
% 0.59/0.92 | ((multiply @ X7 @ (inverse @ sk_c10)) != (sk_c10))
% 0.59/0.92 | ((inverse @ X7) != (inverse @ sk_c10))
% 0.59/0.92 | ((multiply @ sk_c10 @ X6) != (inverse @ sk_c10))
% 0.59/0.92 | ((multiply @ X5 @ sk_c10) != (X6))
% 0.59/0.92 | ((inverse @ X5) != (sk_c10))
% 0.59/0.92 | ((inverse @ X4) != (sk_c10))
% 0.59/0.92 | ((multiply @ X4 @ (inverse @ sk_c10)) != (sk_c10))
% 0.59/0.92 | ((multiply @ X3 @ X2) != (inverse @ sk_c10))
% 0.59/0.92 | ((inverse @ X3) != (X2))
% 0.59/0.92 | ((multiply @ X2 @ sk_c10) != (inverse @ sk_c10))
% 0.59/0.92 | ((multiply @ sk_c10 @ X1) != (inverse @ sk_c10))
% 0.59/0.92 | ((multiply @ X0 @ sk_c10) != (X1))
% 0.59/0.92 | ((inverse @ X0) != (sk_c10)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl1160])).
% 0.59/0.92 thf(prove_this_28, conjecture,
% 0.59/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 0.59/0.92 thf(zf_stmt_1, negated_conjecture,
% 0.59/0.92 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 0.59/0.92 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 0.59/0.92 thf(zip_derived_cl30, plain,
% 0.59/0.92 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c9)))),
% 0.59/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.92 thf(zip_derived_cl1, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.92 thf(zip_derived_cl63, plain,
% 0.59/0.92 ((((multiply @ sk_c9 @ sk_c1) = (identity))
% 0.59/0.92 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl127, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl0])).
% 0.59/0.92 thf(zip_derived_cl157, plain,
% 0.59/0.92 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 0.59/0.92 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl127])).
% 0.59/0.92 thf(prove_this_20, conjecture,
% 0.59/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/0.92 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 0.59/0.92 thf(zf_stmt_2, negated_conjecture,
% 0.59/0.92 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.59/0.92 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 0.59/0.92 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.59/0.92 thf(zip_derived_cl22, plain,
% 0.59/0.92 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 0.59/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.92 thf(zip_derived_cl285, plain,
% 0.59/0.92 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 0.59/0.92 = (sk_c10))
% 0.59/0.92 | ((inverse @ sk_c5) = (sk_c6))
% 0.59/0.92 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl22])).
% 0.59/0.92 thf(zip_derived_cl2, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.92 thf(zip_derived_cl0, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.92 thf(zip_derived_cl1, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.92 thf(zip_derived_cl302, plain,
% 0.59/0.92 ((((identity) = (sk_c10))
% 0.59/0.92 | ((inverse @ sk_c5) = (sk_c6))
% 0.59/0.92 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.59/0.92 inference('demod', [status(thm)],
% 0.59/0.92 [zip_derived_cl285, zip_derived_cl2, zip_derived_cl0,
% 0.59/0.92 zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl303, plain,
% 0.59/0.92 ((((inverse @ sk_c5) = (sk_c6)) | ((identity) = (sk_c10)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl302])).
% 0.59/0.92 thf(prove_this_27, conjecture,
% 0.59/0.92 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c9 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 0.59/0.92 thf(zf_stmt_3, negated_conjecture,
% 0.59/0.92 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c9 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 0.59/0.92 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 0.59/0.92 thf(zip_derived_cl29, plain,
% 0.59/0.92 ((((multiply @ sk_c5 @ sk_c6) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 0.59/0.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.92 thf(zip_derived_cl1008, plain,
% 0.59/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl949, zip_derived_cl143])).
% 0.59/0.92 thf(zip_derived_cl1178, plain,
% 0.59/0.92 ((((sk_c1) = (inverse @ sk_c9)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c9)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1008])).
% 0.59/0.92 thf(prove_this_19, conjecture,
% 0.59/0.92 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c9 ) ) |
% 0.59/0.92 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 0.59/0.92 thf(zf_stmt_4, negated_conjecture,
% 0.59/0.92 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c9 ) ) |
% 0.59/0.92 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c10 ) )),
% 0.59/0.92 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.59/0.92 thf(zip_derived_cl21, plain,
% 0.59/0.92 ((((multiply @ sk_c5 @ sk_c6) = (sk_c9))
% 0.59/0.92 | ((multiply @ sk_c1 @ sk_c9) = (sk_c10)))),
% 0.59/0.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.59/0.92 thf(zip_derived_cl1673, plain,
% 0.59/0.92 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c10))
% 0.59/0.92 | ((multiply @ sk_c5 @ sk_c6) = (sk_c9))
% 0.59/0.92 | ((multiply @ sk_c5 @ sk_c6) = (sk_c9)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl1178, zip_derived_cl21])).
% 0.59/0.92 thf(zip_derived_cl1, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.92 thf(zip_derived_cl1695, plain,
% 0.59/0.92 ((((identity) = (sk_c10))
% 0.59/0.92 | ((multiply @ sk_c5 @ sk_c6) = (sk_c9))
% 0.59/0.92 | ((multiply @ sk_c5 @ sk_c6) = (sk_c9)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl1673, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl1696, plain,
% 0.59/0.92 ((((multiply @ sk_c5 @ sk_c6) = (sk_c9)) | ((identity) = (sk_c10)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl1695])).
% 0.59/0.92 thf(zip_derived_cl1992, plain,
% 0.59/0.92 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c9))
% 0.59/0.92 | ((identity) = (sk_c10))
% 0.59/0.92 | ((identity) = (sk_c10)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl303, zip_derived_cl1696])).
% 0.59/0.92 thf(zip_derived_cl1008, plain,
% 0.59/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl949, zip_derived_cl143])).
% 0.59/0.92 thf(zip_derived_cl1, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.92 thf(zip_derived_cl1163, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl1008, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl1998, plain,
% 0.59/0.92 ((((identity) = (sk_c9))
% 0.59/0.92 | ((identity) = (sk_c10))
% 0.59/0.92 | ((identity) = (sk_c10)))),
% 0.59/0.92 inference('demod', [status(thm)],
% 0.59/0.92 [zip_derived_cl1992, zip_derived_cl1163])).
% 0.59/0.92 thf(zip_derived_cl1999, plain,
% 0.59/0.92 ((((identity) = (sk_c10)) | ((identity) = (sk_c9)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl1998])).
% 0.59/0.92 thf(prove_this_16, conjecture,
% 0.59/0.92 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c9 ) = ( sk_c10 ) ) ))).
% 0.59/0.92 thf(zf_stmt_5, negated_conjecture,
% 0.59/0.92 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c9 ) = ( sk_c10 ) )),
% 0.59/0.92 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 0.59/0.92 thf(zip_derived_cl18, plain,
% 0.59/0.92 ((((inverse @ sk_c7) = (sk_c10)) | ((inverse @ sk_c9) = (sk_c10)))),
% 0.59/0.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/0.92 thf(zip_derived_cl1, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.92 thf(zip_derived_cl66, plain,
% 0.59/0.92 ((((multiply @ sk_c10 @ sk_c7) = (identity))
% 0.59/0.92 | ((inverse @ sk_c9) = (sk_c10)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl127, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl0])).
% 0.59/0.92 thf(zip_derived_cl150, plain,
% 0.59/0.92 ((((sk_c7) = (multiply @ (inverse @ sk_c10) @ identity))
% 0.59/0.92 | ((inverse @ sk_c9) = (sk_c10)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl127])).
% 0.59/0.92 thf(prove_this_15, conjecture,
% 0.59/0.92 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c9 ) = ( sk_c10 ) ) ))).
% 0.59/0.92 thf(zf_stmt_6, negated_conjecture,
% 0.59/0.92 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c9 ) = ( sk_c10 ) )),
% 0.59/0.92 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.59/0.92 thf(zip_derived_cl17, plain,
% 0.59/0.92 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 0.59/0.92 | ((inverse @ sk_c9) = (sk_c10)))),
% 0.59/0.92 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/0.92 thf(zip_derived_cl342, plain,
% 0.59/0.92 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 0.59/0.92 = (sk_c8))
% 0.59/0.92 | ((inverse @ sk_c9) = (sk_c10))
% 0.59/0.92 | ((inverse @ sk_c9) = (sk_c10)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl150, zip_derived_cl17])).
% 0.59/0.92 thf(zip_derived_cl2, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.92 thf(zip_derived_cl0, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.92 thf(zip_derived_cl1, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.92 thf(zip_derived_cl347, plain,
% 0.59/0.92 ((((identity) = (sk_c8))
% 0.59/0.92 | ((inverse @ sk_c9) = (sk_c10))
% 0.59/0.92 | ((inverse @ sk_c9) = (sk_c10)))),
% 0.59/0.92 inference('demod', [status(thm)],
% 0.59/0.92 [zip_derived_cl342, zip_derived_cl2, zip_derived_cl0,
% 0.59/0.92 zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl348, plain,
% 0.59/0.92 ((((inverse @ sk_c9) = (sk_c10)) | ((identity) = (sk_c8)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl347])).
% 0.59/0.92 thf(prove_this_14, conjecture,
% 0.59/0.92 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c9 ) = ( sk_c10 ) ) ))).
% 0.59/0.92 thf(zf_stmt_7, negated_conjecture,
% 0.59/0.92 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c9 ) = ( sk_c10 ) )),
% 0.59/0.92 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.59/0.92 thf(zip_derived_cl16, plain,
% 0.59/0.92 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 0.59/0.92 | ((inverse @ sk_c9) = (sk_c10)))),
% 0.59/0.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.92 thf(zip_derived_cl352, plain,
% 0.59/0.92 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 0.59/0.92 | ((inverse @ sk_c9) = (sk_c10))
% 0.59/0.92 | ((inverse @ sk_c9) = (sk_c10)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl348, zip_derived_cl16])).
% 0.59/0.92 thf(zip_derived_cl355, plain,
% 0.59/0.92 ((((inverse @ sk_c9) = (sk_c10))
% 0.59/0.92 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl352])).
% 0.59/0.92 thf(zip_derived_cl949, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl140])).
% 0.59/0.92 thf(zip_derived_cl991, plain,
% 0.59/0.92 ((((inverse @ sk_c9) = (sk_c10)) | ((sk_c10) = (sk_c9)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl355, zip_derived_cl949])).
% 0.59/0.92 thf(zip_derived_cl2016, plain,
% 0.59/0.92 ((((inverse @ identity) = (sk_c10))
% 0.59/0.92 | ((identity) = (sk_c10))
% 0.59/0.92 | ((sk_c10) = (sk_c9)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl1999, zip_derived_cl991])).
% 0.59/0.92 thf(zip_derived_cl0, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.92 thf(zip_derived_cl127, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl0])).
% 0.59/0.92 thf(zip_derived_cl142, plain,
% 0.59/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl127])).
% 0.59/0.92 thf(zip_derived_cl127, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl0])).
% 0.59/0.92 thf(zip_derived_cl196, plain,
% 0.59/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl127])).
% 0.59/0.92 thf(zip_derived_cl1, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2022, plain,
% 0.59/0.92 ((((identity) = (sk_c10))
% 0.59/0.92 | ((identity) = (sk_c10))
% 0.59/0.92 | ((sk_c10) = (sk_c9)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl2016, zip_derived_cl798])).
% 0.59/0.92 thf(zip_derived_cl2023, plain,
% 0.59/0.92 ((((sk_c10) = (sk_c9)) | ((identity) = (sk_c10)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2022])).
% 0.59/0.92 thf(zip_derived_cl1999, plain,
% 0.59/0.92 ((((identity) = (sk_c10)) | ((identity) = (sk_c9)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl1998])).
% 0.59/0.92 thf(zip_derived_cl2047, plain,
% 0.59/0.92 ((((identity) = (sk_c10))
% 0.59/0.92 | ((identity) = (sk_c10))
% 0.59/0.92 | ((identity) = (sk_c10)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl2023, zip_derived_cl1999])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl949, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl140])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl0, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl949, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl140])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl949, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl140])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl949, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl140])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl0, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl949, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl140])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl2153, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.59/0.92 (((identity) != (sk_c9))
% 0.59/0.92 | ((X7) != (identity))
% 0.59/0.92 | ((inverse @ X7) != (identity))
% 0.59/0.92 | ((X6) != (identity))
% 0.59/0.92 | ((X5) != (X6))
% 0.59/0.92 | ((inverse @ X5) != (identity))
% 0.59/0.92 | ((inverse @ X4) != (identity))
% 0.59/0.92 | ((X4) != (identity))
% 0.59/0.92 | ((multiply @ X3 @ X2) != (identity))
% 0.59/0.92 | ((inverse @ X3) != (X2))
% 0.59/0.92 | ((X2) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((X0) != (X1))
% 0.59/0.92 | ((inverse @ X0) != (identity)))),
% 0.59/0.92 inference('demod', [status(thm)],
% 0.59/0.92 [zip_derived_cl1161, zip_derived_cl2049, zip_derived_cl798,
% 0.59/0.92 zip_derived_cl2049, zip_derived_cl798, zip_derived_cl949,
% 0.59/0.92 zip_derived_cl2049, zip_derived_cl2049, zip_derived_cl798,
% 0.59/0.92 zip_derived_cl2049, zip_derived_cl0, zip_derived_cl2049,
% 0.59/0.92 zip_derived_cl798, zip_derived_cl2049, zip_derived_cl949,
% 0.59/0.92 zip_derived_cl2049, zip_derived_cl2049, zip_derived_cl2049,
% 0.59/0.92 zip_derived_cl798, zip_derived_cl949, zip_derived_cl2049,
% 0.59/0.92 zip_derived_cl2049, zip_derived_cl798, zip_derived_cl2049,
% 0.59/0.92 zip_derived_cl949, zip_derived_cl2049, zip_derived_cl798,
% 0.59/0.92 zip_derived_cl2049, zip_derived_cl0, zip_derived_cl2049,
% 0.59/0.92 zip_derived_cl798, zip_derived_cl2049, zip_derived_cl949,
% 0.59/0.92 zip_derived_cl2049])).
% 0.59/0.92 thf(zip_derived_cl2164, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.59/0.92 (((inverse @ X0) != (identity))
% 0.59/0.92 | ((X0) != (X1))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((X2) != (identity))
% 0.59/0.92 | ((inverse @ X3) != (X2))
% 0.59/0.92 | ((multiply @ X3 @ X2) != (identity))
% 0.59/0.92 | ((X4) != (identity))
% 0.59/0.92 | ((inverse @ X4) != (identity))
% 0.59/0.92 | ((inverse @ X5) != (identity))
% 0.59/0.92 | ((X5) != (identity))
% 0.59/0.92 | ((inverse @ X6) != (identity))
% 0.59/0.92 | ((X6) != (identity))
% 0.59/0.92 | ((identity) != (sk_c9)))),
% 0.59/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2153])).
% 0.59/0.92 thf(prove_this_8, conjecture,
% 0.59/0.92 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 0.59/0.92 thf(zf_stmt_8, negated_conjecture,
% 0.59/0.92 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 0.59/0.92 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.59/0.92 thf(zip_derived_cl10, plain,
% 0.59/0.92 ((((inverse @ sk_c7) = (sk_c10)) | ((inverse @ sk_c10) = (sk_c9)))),
% 0.59/0.92 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.59/0.92 thf(zip_derived_cl1, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.92 thf(zip_derived_cl62, plain,
% 0.59/0.92 ((((multiply @ sk_c10 @ sk_c7) = (identity))
% 0.59/0.92 | ((inverse @ sk_c10) = (sk_c9)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl127, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl0])).
% 0.59/0.92 thf(zip_derived_cl149, plain,
% 0.59/0.92 ((((sk_c7) = (multiply @ (inverse @ sk_c10) @ identity))
% 0.59/0.92 | ((inverse @ sk_c10) = (sk_c9)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl127])).
% 0.59/0.92 thf(prove_this_7, conjecture,
% 0.59/0.92 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 0.59/0.92 thf(zf_stmt_9, negated_conjecture,
% 0.59/0.92 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 0.59/0.92 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.59/0.92 thf(zip_derived_cl9, plain,
% 0.59/0.92 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 0.59/0.92 | ((inverse @ sk_c10) = (sk_c9)))),
% 0.59/0.92 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.59/0.92 thf(zip_derived_cl211, plain,
% 0.59/0.92 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 0.59/0.92 = (sk_c8))
% 0.59/0.92 | ((inverse @ sk_c10) = (sk_c9))
% 0.59/0.92 | ((inverse @ sk_c10) = (sk_c9)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl9])).
% 0.59/0.92 thf(zip_derived_cl2, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.59/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.59/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.59/0.92 thf(zip_derived_cl0, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.59/0.92 thf(zip_derived_cl1, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.59/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.59/0.92 thf(zip_derived_cl217, plain,
% 0.59/0.92 ((((identity) = (sk_c8))
% 0.59/0.92 | ((inverse @ sk_c10) = (sk_c9))
% 0.59/0.92 | ((inverse @ sk_c10) = (sk_c9)))),
% 0.59/0.92 inference('demod', [status(thm)],
% 0.59/0.92 [zip_derived_cl211, zip_derived_cl2, zip_derived_cl0,
% 0.59/0.92 zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl218, plain,
% 0.59/0.92 ((((inverse @ sk_c10) = (sk_c9)) | ((identity) = (sk_c8)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl217])).
% 0.59/0.92 thf(prove_this_6, conjecture,
% 0.59/0.92 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 0.59/0.92 thf(zf_stmt_10, negated_conjecture,
% 0.59/0.92 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 0.59/0.92 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 0.59/0.92 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.59/0.92 thf(zip_derived_cl8, plain,
% 0.59/0.92 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 0.59/0.92 | ((inverse @ sk_c10) = (sk_c9)))),
% 0.59/0.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.59/0.92 thf(zip_derived_cl222, plain,
% 0.59/0.92 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 0.59/0.92 | ((inverse @ sk_c10) = (sk_c9))
% 0.59/0.92 | ((inverse @ sk_c10) = (sk_c9)))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl8])).
% 0.59/0.92 thf(zip_derived_cl225, plain,
% 0.59/0.92 ((((inverse @ sk_c10) = (sk_c9))
% 0.59/0.92 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl222])).
% 0.59/0.92 thf(zip_derived_cl949, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl140])).
% 0.59/0.92 thf(zip_derived_cl988, plain,
% 0.59/0.92 ((((inverse @ sk_c10) = (sk_c9)) | ((sk_c10) = (sk_c9)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl225, zip_derived_cl949])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2049, plain, (((identity) = (sk_c10))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.59/0.92 thf(zip_derived_cl2139, plain,
% 0.59/0.92 ((((identity) = (sk_c9)) | ((identity) = (sk_c9)))),
% 0.59/0.92 inference('demod', [status(thm)],
% 0.59/0.92 [zip_derived_cl988, zip_derived_cl2049, zip_derived_cl798,
% 0.59/0.92 zip_derived_cl2049])).
% 0.59/0.92 thf(zip_derived_cl2140, plain, (((identity) = (sk_c9))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2139])).
% 0.59/0.92 thf(zip_derived_cl2175, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.59/0.92 (((inverse @ X0) != (identity))
% 0.59/0.92 | ((X0) != (X1))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((X2) != (identity))
% 0.59/0.92 | ((inverse @ X3) != (X2))
% 0.59/0.92 | ((multiply @ X3 @ X2) != (identity))
% 0.59/0.92 | ((X4) != (identity))
% 0.59/0.92 | ((inverse @ X4) != (identity))
% 0.59/0.92 | ((inverse @ X5) != (identity))
% 0.59/0.92 | ((X5) != (identity))
% 0.59/0.92 | ((inverse @ X6) != (identity))
% 0.59/0.92 | ((X6) != (identity))
% 0.59/0.92 | ((identity) != (identity)))),
% 0.59/0.92 inference('demod', [status(thm)],
% 0.59/0.92 [zip_derived_cl2164, zip_derived_cl2140])).
% 0.59/0.92 thf(zip_derived_cl2176, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.59/0.92 (((X6) != (identity))
% 0.59/0.92 | ((inverse @ X6) != (identity))
% 0.59/0.92 | ((X5) != (identity))
% 0.59/0.92 | ((inverse @ X5) != (identity))
% 0.59/0.92 | ((inverse @ X4) != (identity))
% 0.59/0.92 | ((X4) != (identity))
% 0.59/0.92 | ((multiply @ X3 @ X2) != (identity))
% 0.59/0.92 | ((inverse @ X3) != (X2))
% 0.59/0.92 | ((X2) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((X0) != (X1))
% 0.59/0.92 | ((inverse @ X0) != (identity)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2175])).
% 0.59/0.92 thf(zip_derived_cl2207, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.59/0.92 (((inverse @ X0) != (identity))
% 0.59/0.92 | ((X0) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((inverse @ X2) != (X1))
% 0.59/0.92 | ((multiply @ X2 @ X1) != (identity))
% 0.59/0.92 | ((X3) != (identity))
% 0.59/0.92 | ((inverse @ X3) != (identity))
% 0.59/0.92 | ((inverse @ X4) != (identity))
% 0.59/0.92 | ((X4) != (identity))
% 0.59/0.92 | ((inverse @ X5) != (identity))
% 0.59/0.92 | ((X5) != (identity)))),
% 0.59/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2176])).
% 0.59/0.92 thf(zip_derived_cl2208, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/0.92 (((X0) != (identity))
% 0.59/0.92 | ((inverse @ X0) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((inverse @ X1) != (identity))
% 0.59/0.92 | ((inverse @ X2) != (identity))
% 0.59/0.92 | ((X2) != (identity))
% 0.59/0.92 | ((multiply @ X4 @ X3) != (identity))
% 0.59/0.92 | ((inverse @ X4) != (X3))
% 0.59/0.92 | ((X3) != (identity))
% 0.59/0.92 | ((inverse @ identity) != (identity)))),
% 0.59/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2207])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2209, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/0.92 (((X0) != (identity))
% 0.59/0.92 | ((inverse @ X0) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((inverse @ X1) != (identity))
% 0.59/0.92 | ((inverse @ X2) != (identity))
% 0.59/0.92 | ((X2) != (identity))
% 0.59/0.92 | ((multiply @ X4 @ X3) != (identity))
% 0.59/0.92 | ((inverse @ X4) != (X3))
% 0.59/0.92 | ((X3) != (identity))
% 0.59/0.92 | ((identity) != (identity)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl2208, zip_derived_cl798])).
% 0.59/0.92 thf(zip_derived_cl2210, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.59/0.92 (((X3) != (identity))
% 0.59/0.92 | ((inverse @ X4) != (X3))
% 0.59/0.92 | ((multiply @ X4 @ X3) != (identity))
% 0.59/0.92 | ((X2) != (identity))
% 0.59/0.92 | ((inverse @ X2) != (identity))
% 0.59/0.92 | ((inverse @ X1) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((inverse @ X0) != (identity))
% 0.59/0.92 | ((X0) != (identity)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2209])).
% 0.59/0.92 thf(zip_derived_cl2211, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.92 (((X0) != (identity))
% 0.59/0.92 | ((inverse @ X0) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((inverse @ X1) != (identity))
% 0.59/0.92 | ((inverse @ X2) != (identity))
% 0.59/0.92 | ((X2) != (identity))
% 0.59/0.92 | ((multiply @ X3 @ identity) != (identity))
% 0.59/0.92 | ((inverse @ X3) != (identity)))),
% 0.59/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2210])).
% 0.59/0.92 thf(zip_derived_cl949, plain,
% 0.59/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl140])).
% 0.59/0.92 thf(zip_derived_cl2212, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.92 (((X0) != (identity))
% 0.59/0.92 | ((inverse @ X0) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((inverse @ X1) != (identity))
% 0.59/0.92 | ((inverse @ X2) != (identity))
% 0.59/0.92 | ((X2) != (identity))
% 0.59/0.92 | ((X3) != (identity))
% 0.59/0.92 | ((inverse @ X3) != (identity)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl2211, zip_derived_cl949])).
% 0.59/0.92 thf(zip_derived_cl2213, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.92 (((inverse @ X0) != (identity))
% 0.59/0.92 | ((X0) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((inverse @ X1) != (identity))
% 0.59/0.92 | ((inverse @ X2) != (identity))
% 0.59/0.92 | ((X2) != (identity))
% 0.59/0.92 | ((inverse @ identity) != (identity)))),
% 0.59/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2212])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2214, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.92 (((inverse @ X0) != (identity))
% 0.59/0.92 | ((X0) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((inverse @ X1) != (identity))
% 0.59/0.92 | ((inverse @ X2) != (identity))
% 0.59/0.92 | ((X2) != (identity))
% 0.59/0.92 | ((identity) != (identity)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl2213, zip_derived_cl798])).
% 0.59/0.92 thf(zip_derived_cl2215, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.92 (((X2) != (identity))
% 0.59/0.92 | ((inverse @ X2) != (identity))
% 0.59/0.92 | ((inverse @ X1) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((X0) != (identity))
% 0.59/0.92 | ((inverse @ X0) != (identity)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2214])).
% 0.59/0.92 thf(zip_derived_cl2216, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 (((inverse @ X0) != (identity))
% 0.59/0.92 | ((X0) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((inverse @ X1) != (identity))
% 0.59/0.92 | ((inverse @ identity) != (identity)))),
% 0.59/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2215])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2217, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 (((inverse @ X0) != (identity))
% 0.59/0.92 | ((X0) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((inverse @ X1) != (identity))
% 0.59/0.92 | ((identity) != (identity)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl2216, zip_derived_cl798])).
% 0.59/0.92 thf(zip_derived_cl2218, plain,
% 0.59/0.92 (![X0 : $i, X1 : $i]:
% 0.59/0.92 (((inverse @ X1) != (identity))
% 0.59/0.92 | ((X1) != (identity))
% 0.59/0.92 | ((X0) != (identity))
% 0.59/0.92 | ((inverse @ X0) != (identity)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2217])).
% 0.59/0.92 thf(zip_derived_cl2254, plain,
% 0.59/0.92 (![X0 : $i]:
% 0.59/0.92 (((inverse @ X0) != (identity))
% 0.59/0.92 | ((X0) != (identity))
% 0.59/0.92 | ((inverse @ identity) != (identity)))),
% 0.59/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2218])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2255, plain,
% 0.59/0.92 (![X0 : $i]:
% 0.59/0.92 (((inverse @ X0) != (identity))
% 0.59/0.92 | ((X0) != (identity))
% 0.59/0.92 | ((identity) != (identity)))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl2254, zip_derived_cl798])).
% 0.59/0.92 thf(zip_derived_cl2256, plain,
% 0.59/0.92 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2255])).
% 0.59/0.92 thf(zip_derived_cl2257, plain, (((inverse @ identity) != (identity))),
% 0.59/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2256])).
% 0.59/0.92 thf(zip_derived_cl798, plain, (((inverse @ identity) = (identity))),
% 0.59/0.92 inference('sup+', [status(thm)], [zip_derived_cl196, zip_derived_cl1])).
% 0.59/0.92 thf(zip_derived_cl2258, plain, (((identity) != (identity))),
% 0.59/0.92 inference('demod', [status(thm)], [zip_derived_cl2257, zip_derived_cl798])).
% 0.59/0.92 thf(zip_derived_cl2259, plain, ($false),
% 0.59/0.92 inference('simplify', [status(thm)], [zip_derived_cl2258])).
% 0.59/0.92
% 0.59/0.92 % SZS output end Refutation
% 0.59/0.92
% 0.59/0.92
% 0.59/0.92 % Terminating...
% 0.83/0.95 % Runner terminated.
% 0.83/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------